TSTP Solution File: SWV426^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV426^2 : TPTP v8.1.2. Released v3.6.0.
% 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 : n009.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 10:34:28 EDT 2024
% Result : Theorem 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWV426^2 : TPTP v8.1.2. Released v3.6.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 21:08:38 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903
% 0.11/0.35 % (10016)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.11/0.35 % (10013)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.11/0.35 % (10014)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.35 % (10018)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.11/0.35 % (10017)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.11/0.35 % (10011)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.11/0.35 % (10012)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.11/0.35 % (10015)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.11/0.35 % (10014)Instruction limit reached!
% 0.11/0.35 % (10014)------------------------------
% 0.11/0.35 % (10014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (10014)Termination reason: Unknown
% 0.11/0.35 % (10014)Termination phase: Property scanning
% 0.11/0.35 % (10015)Instruction limit reached!
% 0.11/0.35 % (10015)------------------------------
% 0.11/0.35 % (10015)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (10015)Termination reason: Unknown
% 0.11/0.35 % (10015)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (10015)Memory used [KB]: 1023
% 0.11/0.35 % (10015)Time elapsed: 0.003 s
% 0.11/0.35 % (10015)Instructions burned: 2 (million)
% 0.11/0.35 % (10015)------------------------------
% 0.11/0.35 % (10015)------------------------------
% 0.11/0.35
% 0.11/0.35 % (10014)Memory used [KB]: 1023
% 0.11/0.35 % (10014)Time elapsed: 0.003 s
% 0.11/0.35 % (10014)Instructions burned: 3 (million)
% 0.11/0.35 % (10014)------------------------------
% 0.11/0.35 % (10014)------------------------------
% 0.11/0.35 % (10018)Instruction limit reached!
% 0.11/0.35 % (10018)------------------------------
% 0.11/0.35 % (10018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (10018)Termination reason: Unknown
% 0.11/0.35 % (10018)Termination phase: shuffling
% 0.11/0.35
% 0.11/0.35 % (10018)Memory used [KB]: 1023
% 0.11/0.35 % (10018)Time elapsed: 0.003 s
% 0.11/0.35 % (10018)Instructions burned: 3 (million)
% 0.11/0.35 % (10018)------------------------------
% 0.11/0.35 % (10018)------------------------------
% 0.11/0.35 % (10012)Instruction limit reached!
% 0.11/0.35 % (10012)------------------------------
% 0.11/0.35 % (10012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (10012)Termination reason: Unknown
% 0.11/0.35 % (10012)Termination phase: Property scanning
% 0.11/0.35
% 0.11/0.35 % (10012)Memory used [KB]: 1023
% 0.11/0.35 % (10012)Time elapsed: 0.003 s
% 0.11/0.35 % (10012)Instructions burned: 4 (million)
% 0.11/0.35 % (10012)------------------------------
% 0.11/0.35 % (10012)------------------------------
% 0.11/0.35 % (10016)Refutation not found, incomplete strategy
% 0.11/0.35 % (10016)------------------------------
% 0.11/0.35 % (10016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.35 % (10016)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.35
% 0.11/0.35
% 0.11/0.35 % (10016)Memory used [KB]: 5500
% 0.11/0.35 % (10016)Time elapsed: 0.005 s
% 0.11/0.35 % (10016)Instructions burned: 5 (million)
% 0.11/0.35 % (10016)------------------------------
% 0.11/0.35 % (10016)------------------------------
% 0.11/0.36 % (10017)Instruction limit reached!
% 0.11/0.36 % (10017)------------------------------
% 0.11/0.36 % (10017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (10017)Termination reason: Unknown
% 0.11/0.36 % (10017)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (10017)Memory used [KB]: 5628
% 0.11/0.36 % (10017)Time elapsed: 0.010 s
% 0.11/0.36 % (10017)Instructions burned: 18 (million)
% 0.11/0.36 % (10017)------------------------------
% 0.11/0.36 % (10017)------------------------------
% 0.11/0.36 % (10013)Instruction limit reached!
% 0.11/0.36 % (10013)------------------------------
% 0.11/0.36 % (10013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.36 % (10013)Termination reason: Unknown
% 0.11/0.36 % (10013)Termination phase: Saturation
% 0.11/0.36
% 0.11/0.36 % (10013)Memory used [KB]: 5756
% 0.11/0.36 % (10013)Time elapsed: 0.016 s
% 0.11/0.36 % (10013)Instructions burned: 29 (million)
% 0.11/0.36 % (10013)------------------------------
% 0.11/0.36 % (10013)------------------------------
% 0.11/0.36 % (10021)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.11/0.37 % (10022)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.11/0.37 % (10021)Instruction limit reached!
% 0.11/0.37 % (10021)------------------------------
% 0.11/0.37 % (10021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (10021)Termination reason: Unknown
% 0.11/0.37 % (10021)Termination phase: Clausification
% 0.11/0.37
% 0.11/0.37 % (10021)Memory used [KB]: 1023
% 0.11/0.37 % (10021)Time elapsed: 0.003 s
% 0.11/0.37 % (10020)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.11/0.37 % (10021)Instructions burned: 4 (million)
% 0.11/0.37 % (10021)------------------------------
% 0.11/0.37 % (10021)------------------------------
% 0.11/0.37 % (10023)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.11/0.37 % (10019)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.11/0.37 % (10023)Instruction limit reached!
% 0.11/0.37 % (10023)------------------------------
% 0.11/0.37 % (10023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (10023)Termination reason: Unknown
% 0.11/0.37 % (10023)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (10023)Memory used [KB]: 1023
% 0.11/0.37 % (10023)Time elapsed: 0.004 s
% 0.11/0.37 % (10023)Instructions burned: 7 (million)
% 0.11/0.37 % (10023)------------------------------
% 0.11/0.37 % (10023)------------------------------
% 0.11/0.37 % (10024)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.11/0.37 % (10020)Instruction limit reached!
% 0.11/0.37 % (10020)------------------------------
% 0.11/0.37 % (10020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.37 % (10020)Termination reason: Unknown
% 0.11/0.37 % (10020)Termination phase: Saturation
% 0.11/0.37
% 0.11/0.37 % (10020)Memory used [KB]: 5628
% 0.11/0.37 % (10020)Time elapsed: 0.008 s
% 0.11/0.37 % (10020)Instructions burned: 15 (million)
% 0.11/0.37 % (10020)------------------------------
% 0.11/0.37 % (10020)------------------------------
% 0.11/0.38 % (10025)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.11/0.38 % (10025)Instruction limit reached!
% 0.11/0.38 % (10025)------------------------------
% 0.11/0.38 % (10025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (10025)Termination reason: Unknown
% 0.11/0.38 % (10025)Termination phase: Preprocessing 3
% 0.11/0.38
% 0.11/0.38 % (10025)Memory used [KB]: 1023
% 0.11/0.38 % (10025)Time elapsed: 0.003 s
% 0.11/0.38 % (10025)Instructions burned: 4 (million)
% 0.11/0.38 % (10025)------------------------------
% 0.11/0.38 % (10025)------------------------------
% 0.11/0.38 % (10024)Instruction limit reached!
% 0.11/0.38 % (10024)------------------------------
% 0.11/0.38 % (10024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (10024)Termination reason: Unknown
% 0.11/0.38 % (10024)Termination phase: Saturation
% 0.11/0.38 % (10026)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)
% 0.11/0.38
% 0.11/0.38 % (10024)Memory used [KB]: 5628
% 0.11/0.38 % (10024)Time elapsed: 0.009 s
% 0.11/0.38 % (10024)Instructions burned: 16 (million)
% 0.11/0.38 % (10024)------------------------------
% 0.11/0.38 % (10024)------------------------------
% 0.11/0.38 % (10026)Instruction limit reached!
% 0.11/0.38 % (10026)------------------------------
% 0.11/0.38 % (10026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (10026)Termination reason: Unknown
% 0.11/0.38 % (10026)Termination phase: shuffling
% 0.11/0.38
% 0.11/0.38 % (10026)Memory used [KB]: 1023
% 0.11/0.38 % (10026)Time elapsed: 0.003 s
% 0.11/0.38 % (10026)Instructions burned: 4 (million)
% 0.11/0.38 % (10026)------------------------------
% 0.11/0.38 % (10026)------------------------------
% 0.11/0.38 % (10027)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)
% 0.11/0.38 % (10027)Instruction limit reached!
% 0.11/0.38 % (10027)------------------------------
% 0.11/0.38 % (10027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.38 % (10027)Termination reason: Unknown
% 0.11/0.38 % (10027)Termination phase: Saturation
% 0.11/0.38
% 0.11/0.39 % (10027)Memory used [KB]: 1023
% 0.11/0.39 % (10027)Time elapsed: 0.004 s
% 0.11/0.39 % (10027)Instructions burned: 7 (million)
% 0.11/0.39 % (10027)------------------------------
% 0.11/0.39 % (10027)------------------------------
% 0.11/0.39 % (10028)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)
% 0.11/0.39 % (10019)Instruction limit reached!
% 0.11/0.39 % (10019)------------------------------
% 0.11/0.39 % (10019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (10019)Termination reason: Unknown
% 0.11/0.39 % (10019)Termination phase: Saturation
% 0.11/0.39
% 0.11/0.39 % (10019)Memory used [KB]: 5884
% 0.11/0.39 % (10019)Time elapsed: 0.019 s
% 0.11/0.39 % (10019)Instructions burned: 37 (million)
% 0.11/0.39 % (10019)------------------------------
% 0.11/0.39 % (10019)------------------------------
% 0.11/0.39 % (10028)Instruction limit reached!
% 0.11/0.39 % (10028)------------------------------
% 0.11/0.39 % (10028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (10028)Termination reason: Unknown
% 0.11/0.39 % (10028)Termination phase: Property scanning
% 0.11/0.39
% 0.11/0.39 % (10028)Memory used [KB]: 1023
% 0.11/0.39 % (10028)Time elapsed: 0.003 s
% 0.11/0.39 % (10028)Instructions burned: 4 (million)
% 0.11/0.39 % (10028)------------------------------
% 0.11/0.39 % (10028)------------------------------
% 0.11/0.39 % (10029)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)
% 0.11/0.39 % (10030)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)
% 0.11/0.39 % (10029)Instruction limit reached!
% 0.11/0.39 % (10029)------------------------------
% 0.11/0.39 % (10029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.39 % (10029)Termination reason: Unknown
% 0.11/0.39 % (10029)Termination phase: Clausification
% 0.11/0.39
% 0.11/0.39 % (10029)Memory used [KB]: 1023
% 0.11/0.39 % (10029)Time elapsed: 0.003 s
% 0.11/0.39 % (10029)Instructions burned: 4 (million)
% 0.11/0.39 % (10029)------------------------------
% 0.11/0.39 % (10029)------------------------------
% 0.11/0.39 % (10031)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)
% 0.11/0.40 % (10032)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.11/0.40 % (10033)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)
% 0.11/0.40 % (10034)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)
% 0.11/0.40 % (10032)Instruction limit reached!
% 0.11/0.40 % (10032)------------------------------
% 0.11/0.40 % (10032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40 % (10032)Termination reason: Unknown
% 0.11/0.40 % (10032)Termination phase: Saturation
% 0.11/0.40
% 0.11/0.40 % (10032)Memory used [KB]: 1023
% 0.11/0.40 % (10032)Time elapsed: 0.004 s
% 0.11/0.40 % (10032)Instructions burned: 7 (million)
% 0.11/0.40 % (10032)------------------------------
% 0.11/0.40 % (10032)------------------------------
% 0.11/0.40 % (10033)Refutation not found, incomplete strategy
% 0.11/0.40 % (10033)------------------------------
% 0.11/0.40 % (10033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40 % (10033)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.40
% 0.11/0.40
% 0.11/0.40 % (10033)Memory used [KB]: 5500
% 0.11/0.40 % (10033)Time elapsed: 0.004 s
% 0.11/0.40 % (10033)Instructions burned: 5 (million)
% 0.11/0.40 % (10033)------------------------------
% 0.11/0.40 % (10033)------------------------------
% 0.11/0.40 % (10030)Instruction limit reached!
% 0.11/0.40 % (10030)------------------------------
% 0.11/0.40 % (10030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.40 % (10030)Termination reason: Unknown
% 0.11/0.40 % (10030)Termination phase: Saturation
% 0.11/0.40
% 0.11/0.40 % (10030)Memory used [KB]: 5628
% 0.11/0.40 % (10030)Time elapsed: 0.012 s
% 0.11/0.40 % (10030)Instructions burned: 19 (million)
% 0.11/0.40 % (10030)------------------------------
% 0.11/0.40 % (10030)------------------------------
% 0.11/0.41 % (10035)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.11/0.41 % (10031)Refutation not found, incomplete strategy
% 0.11/0.41 % (10031)------------------------------
% 0.11/0.41 % (10031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.41 % (10031)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.41
% 0.11/0.41 % (10035)Instruction limit reached!
% 0.11/0.41 % (10035)------------------------------
% 0.11/0.41 % (10035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.41 % (10035)Termination reason: Unknown
% 0.11/0.41 % (10035)Termination phase: Property scanning
% 0.11/0.41
% 0.11/0.41 % (10035)Memory used [KB]: 1023
% 0.11/0.41 % (10035)Time elapsed: 0.004 s
% 0.11/0.41 % (10035)Instructions burned: 6 (million)
% 0.11/0.41 % (10035)------------------------------
% 0.11/0.41 % (10035)------------------------------
% 0.11/0.41
% 0.11/0.41 % (10031)Memory used [KB]: 5628
% 0.11/0.41 % (10031)Time elapsed: 0.016 s
% 0.11/0.41 % (10031)Instructions burned: 31 (million)
% 0.11/0.41 % (10031)------------------------------
% 0.11/0.41 % (10031)------------------------------
% 0.11/0.41 % (10034)Instruction limit reached!
% 0.11/0.41 % (10034)------------------------------
% 0.11/0.41 % (10034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.11/0.41 % (10034)Termination reason: Unknown
% 0.11/0.41 % (10034)Termination phase: Saturation
% 0.11/0.41
% 0.11/0.41 % (10034)Memory used [KB]: 5628
% 0.11/0.41 % (10034)Time elapsed: 0.012 s
% 0.11/0.41 % (10034)Instructions burned: 22 (million)
% 0.11/0.41 % (10034)------------------------------
% 0.11/0.41 % (10034)------------------------------
% 0.18/0.41 % (10036)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)
% 0.18/0.42 % (10038)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)
% 0.18/0.42 % (10037)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)
% 0.18/0.42 % (10036)Instruction limit reached!
% 0.18/0.42 % (10036)------------------------------
% 0.18/0.42 % (10036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (10036)Termination reason: Unknown
% 0.18/0.42 % (10036)Termination phase: Saturation
% 0.18/0.42
% 0.18/0.42 % (10036)Memory used [KB]: 5500
% 0.18/0.42 % (10036)Time elapsed: 0.004 s
% 0.18/0.42 % (10036)Instructions burned: 6 (million)
% 0.18/0.42 % (10036)------------------------------
% 0.18/0.42 % (10036)------------------------------
% 0.18/0.42 % (10039)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)
% 0.18/0.42 % (10040)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)
% 0.18/0.42 % (10041)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.18/0.43 % (10039)Refutation not found, incomplete strategy
% 0.18/0.43 % (10039)------------------------------
% 0.18/0.43 % (10039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (10039)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 % (10039)Memory used [KB]: 5500
% 0.18/0.43 % (10039)Time elapsed: 0.004 s
% 0.18/0.43 % (10039)Instructions burned: 6 (million)
% 0.18/0.43 % (10039)------------------------------
% 0.18/0.43 % (10039)------------------------------
% 0.18/0.43 % (10042)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.18/0.43 % (10042)Instruction limit reached!
% 0.18/0.43 % (10042)------------------------------
% 0.18/0.43 % (10042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (10042)Termination reason: Unknown
% 0.18/0.43 % (10042)Termination phase: Preprocessing 3
% 0.18/0.43
% 0.18/0.43 % (10042)Memory used [KB]: 1023
% 0.18/0.43 % (10042)Time elapsed: 0.003 s
% 0.18/0.43 % (10042)Instructions burned: 4 (million)
% 0.18/0.43 % (10042)------------------------------
% 0.18/0.43 % (10042)------------------------------
% 0.18/0.43 % (10041)Instruction limit reached!
% 0.18/0.43 % (10041)------------------------------
% 0.18/0.43 % (10041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (10041)Termination reason: Unknown
% 0.18/0.43 % (10041)Termination phase: Saturation
% 0.18/0.43
% 0.18/0.43 % (10041)Memory used [KB]: 5756
% 0.18/0.43 % (10041)Time elapsed: 0.010 s
% 0.18/0.43 % (10041)Instructions burned: 18 (million)
% 0.18/0.43 % (10041)------------------------------
% 0.18/0.43 % (10041)------------------------------
% 0.18/0.44 % (10043)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.18/0.44 % (10011)Instruction limit reached!
% 0.18/0.44 % (10011)------------------------------
% 0.18/0.44 % (10011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (10011)Termination reason: Unknown
% 0.18/0.44 % (10011)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (10011)Memory used [KB]: 7036
% 0.18/0.44 % (10011)Time elapsed: 0.090 s
% 0.18/0.44 % (10011)Instructions burned: 185 (million)
% 0.18/0.44 % (10011)------------------------------
% 0.18/0.44 % (10011)------------------------------
% 0.18/0.44 % (10044)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 (2999ds/127Mi)
% 0.18/0.45 % (10045)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 (2999ds/100Mi)
% 0.18/0.45 % (10043)Instruction limit reached!
% 0.18/0.45 % (10043)------------------------------
% 0.18/0.45 % (10043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.45 % (10043)Termination reason: Unknown
% 0.18/0.45 % (10043)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (10043)Memory used [KB]: 5628
% 0.18/0.45 % (10043)Time elapsed: 0.014 s
% 0.18/0.45 % (10043)Instructions burned: 30 (million)
% 0.18/0.45 % (10043)------------------------------
% 0.18/0.45 % (10043)------------------------------
% 0.18/0.45 % (10047)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)
% 0.18/0.45 % (10047)Instruction limit reached!
% 0.18/0.45 % (10047)------------------------------
% 0.18/0.45 % (10047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.45 % (10047)Termination reason: Unknown
% 0.18/0.45 % (10047)Termination phase: Property scanning
% 0.18/0.45
% 0.18/0.45 % (10047)Memory used [KB]: 1023
% 0.18/0.45 % (10047)Time elapsed: 0.003 s
% 0.18/0.45 % (10047)Instructions burned: 3 (million)
% 0.18/0.45 % (10047)------------------------------
% 0.18/0.45 % (10047)------------------------------
% 0.18/0.46 % (10048)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)
% 0.18/0.47 % (10049)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)
% 0.18/0.47 % (10048)Refutation not found, incomplete strategy
% 0.18/0.47 % (10048)------------------------------
% 0.18/0.47 % (10048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.47 % (10048)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % (10048)Memory used [KB]: 5500
% 0.18/0.47 % (10048)Time elapsed: 0.005 s
% 0.18/0.47 % (10048)Instructions burned: 7 (million)
% 0.18/0.47 % (10048)------------------------------
% 0.18/0.47 % (10048)------------------------------
% 0.18/0.48 % (10050)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)
% 0.18/0.49 % (10050)Refutation not found, incomplete strategy
% 0.18/0.49 % (10050)------------------------------
% 0.18/0.49 % (10050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.49 % (10050)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 % (10050)Memory used [KB]: 5628
% 0.18/0.49 % (10050)Time elapsed: 0.006 s
% 0.18/0.49 % (10050)Instructions burned: 9 (million)
% 0.18/0.49 % (10050)------------------------------
% 0.18/0.49 % (10050)------------------------------
% 0.18/0.49 % (10045)Instruction limit reached!
% 0.18/0.49 % (10045)------------------------------
% 0.18/0.49 % (10045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.49 % (10045)Termination reason: Unknown
% 0.18/0.49 % (10045)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (10045)Memory used [KB]: 5884
% 0.18/0.49 % (10045)Time elapsed: 0.049 s
% 0.18/0.49 % (10045)Instructions burned: 101 (million)
% 0.18/0.49 % (10045)------------------------------
% 0.18/0.49 % (10045)------------------------------
% 0.18/0.50 % (10044)Instruction limit reached!
% 0.18/0.50 % (10044)------------------------------
% 0.18/0.50 % (10044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.50 % (10044)Termination reason: Unknown
% 0.18/0.50 % (10044)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (10044)Memory used [KB]: 6396
% 0.18/0.50 % (10044)Time elapsed: 0.058 s
% 0.18/0.50 % (10044)Instructions burned: 127 (million)
% 0.18/0.50 % (10044)------------------------------
% 0.18/0.50 % (10044)------------------------------
% 0.18/0.50 % (10051)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.18/0.51 % (10052)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 (2998ds/448Mi)
% 0.18/0.51 % (10049)Instruction limit reached!
% 0.18/0.51 % (10049)------------------------------
% 0.18/0.51 % (10049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51 % (10049)Termination reason: Unknown
% 0.18/0.51 % (10049)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (10049)Memory used [KB]: 6140
% 0.18/0.51 % (10049)Time elapsed: 0.044 s
% 0.18/0.51 % (10049)Instructions burned: 87 (million)
% 0.18/0.51 % (10049)------------------------------
% 0.18/0.51 % (10049)------------------------------
% 0.18/0.51 % (10052)Refutation not found, incomplete strategy
% 0.18/0.51 % (10052)------------------------------
% 0.18/0.51 % (10052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51 % (10052)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 % (10052)Memory used [KB]: 5628
% 0.18/0.51 % (10052)Time elapsed: 0.006 s
% 0.18/0.51 % (10052)Instructions burned: 8 (million)
% 0.18/0.51 % (10052)------------------------------
% 0.18/0.51 % (10052)------------------------------
% 0.18/0.51 % (10053)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 (2998ds/46Mi)
% 0.18/0.52 % (10051)Instruction limit reached!
% 0.18/0.52 % (10051)------------------------------
% 0.18/0.52 % (10051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.52 % (10051)Termination reason: Unknown
% 0.18/0.52 % (10051)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (10051)Memory used [KB]: 6012
% 0.18/0.52 % (10051)Time elapsed: 0.019 s
% 0.18/0.52 % (10051)Instructions burned: 39 (million)
% 0.18/0.52 % (10051)------------------------------
% 0.18/0.52 % (10051)------------------------------
% 0.18/0.52 % (10054)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 (2998ds/98Mi)
% 0.18/0.52 % (10055)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 (2998ds/507Mi)
% 0.18/0.53 % (10055)Refutation not found, incomplete strategy
% 0.18/0.53 % (10055)------------------------------
% 0.18/0.53 % (10055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.53 % (10055)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53
% 0.18/0.53 % (10055)Memory used [KB]: 5628
% 0.18/0.53 % (10055)Time elapsed: 0.007 s
% 0.18/0.53 % (10055)Instructions burned: 13 (million)
% 0.18/0.53 % (10055)------------------------------
% 0.18/0.53 % (10055)------------------------------
% 0.18/0.53 % (10056)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 (2998ds/149Mi)
% 0.18/0.54 % (10053)Instruction limit reached!
% 0.18/0.54 % (10053)------------------------------
% 0.18/0.54 % (10053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.54 % (10053)Termination reason: Unknown
% 0.18/0.54 % (10053)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (10053)Memory used [KB]: 5756
% 0.18/0.54 % (10053)Time elapsed: 0.027 s
% 0.18/0.54 % (10053)Instructions burned: 47 (million)
% 0.18/0.54 % (10053)------------------------------
% 0.18/0.54 % (10053)------------------------------
% 0.18/0.54 % (10057)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (2998ds/39Mi)
% 0.18/0.55 % (10058)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 (2998ds/6Mi)
% 0.18/0.55 % (10058)Instruction limit reached!
% 0.18/0.55 % (10058)------------------------------
% 0.18/0.55 % (10058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.55 % (10058)Termination reason: Unknown
% 0.18/0.55 % (10058)Termination phase: Property scanning
% 0.18/0.55
% 0.18/0.55 % (10058)Memory used [KB]: 1023
% 0.18/0.55 % (10058)Time elapsed: 0.004 s
% 0.18/0.55 % (10058)Instructions burned: 6 (million)
% 0.18/0.55 % (10058)------------------------------
% 0.18/0.55 % (10058)------------------------------
% 0.18/0.56 % (10037)First to succeed.
% 0.18/0.56 % (10057)Instruction limit reached!
% 0.18/0.56 % (10057)------------------------------
% 0.18/0.56 % (10057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.56 % (10057)Termination reason: Unknown
% 0.18/0.56 % (10057)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (10057)Memory used [KB]: 5756
% 0.18/0.56 % (10057)Time elapsed: 0.020 s
% 0.18/0.56 % (10057)Instructions burned: 39 (million)
% 0.18/0.56 % (10057)------------------------------
% 0.18/0.56 % (10057)------------------------------
% 0.18/0.56 % (10037)Refutation found. Thanks to Tanya!
% 0.18/0.56 % SZS status Theorem for Vampire---4
% 0.18/0.56 % SZS output start Proof for Vampire---4
% 0.18/0.56 thf(type_def_6, type, individuals: $tType).
% 0.18/0.56 thf(func_def_1, type, prop_a: $i > $o).
% 0.18/0.56 thf(func_def_2, type, prop_b: $i > $o).
% 0.18/0.56 thf(func_def_3, type, prop_c: $i > $o).
% 0.18/0.56 thf(func_def_4, type, mfalse: $i > $o).
% 0.18/0.56 thf(func_def_5, type, mtrue: $i > $o).
% 0.18/0.56 thf(func_def_6, type, mnot: ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_8, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_9, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_10, type, mimpl: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_11, type, miff: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_12, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_13, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_14, type, individuals: $tType).
% 0.18/0.56 thf(func_def_15, type, mall: (individuals > $i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_16, type, mexists: (individuals > $i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_17, type, mvalid: ($i > $o) > $o).
% 0.18/0.56 thf(func_def_18, type, msatisfiable: ($i > $o) > $o).
% 0.18/0.56 thf(func_def_19, type, mcountersatisfiable: ($i > $o) > $o).
% 0.18/0.56 thf(func_def_20, type, minvalid: ($i > $o) > $o).
% 0.18/0.56 thf(func_def_21, type, rel: $i > $i > $o).
% 0.18/0.56 thf(func_def_22, type, icl_atom: ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_23, type, icl_princ: ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_24, type, icl_and: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_25, type, icl_or: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_26, type, icl_impl: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_27, type, icl_true: $i > $o).
% 0.18/0.56 thf(func_def_28, type, icl_false: $i > $o).
% 0.18/0.56 thf(func_def_29, type, icl_says: ($i > $o) > ($i > $o) > $i > $o).
% 0.18/0.56 thf(func_def_30, type, iclval: ($i > $o) > $o).
% 0.18/0.56 thf(func_def_31, type, s: $i > $o).
% 0.18/0.56 thf(func_def_32, type, t: $i > $o).
% 0.18/0.56 thf(func_def_33, type, a: $i > $o).
% 0.18/0.56 thf(func_def_50, type, sK3: $i > $i).
% 0.18/0.56 thf(func_def_54, type, sK7: $i > ($i > $o) > $i).
% 0.18/0.56 thf(func_def_55, type, sK8: $i > ($i > $o) > $i).
% 0.18/0.56 thf(func_def_56, type, ph9: !>[X0: $tType]:(X0)).
% 0.18/0.56 thf(f1763,plain,(
% 0.18/0.57 $false),
% 0.18/0.57 inference(avatar_sat_refutation,[],[f316,f396,f677,f878,f1247,f1383,f1408,f1691,f1757])).
% 0.18/0.57 thf(f1757,plain,(
% 0.18/0.57 ~spl0_64),
% 0.18/0.57 inference(avatar_contradiction_clause,[],[f1756])).
% 0.18/0.57 thf(f1756,plain,(
% 0.18/0.57 $false | ~spl0_64),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1747])).
% 0.18/0.57 thf(f1747,plain,(
% 0.18/0.57 ($false = $true) | ~spl0_64),
% 0.18/0.57 inference(superposition,[],[f1402,f211])).
% 0.18/0.57 thf(f211,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($true = (rel @ X0 @ X0))) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f210])).
% 0.18/0.57 thf(f210,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($true = (rel @ X0 @ X0)) | ($false = $true)) )),
% 0.18/0.57 inference(duplicate_literal_removal,[],[f206])).
% 0.18/0.57 thf(f206,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = $true) | ($true = (rel @ X0 @ X0)) | ($true = (rel @ X0 @ X0))) )),
% 0.18/0.57 inference(superposition,[],[f179,f178])).
% 0.18/0.57 thf(f178,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK7 @ X1 @ X0))) | ((X0 @ X1) = $true)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f177])).
% 0.18/0.57 thf(f177,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | (((rel @ X1 @ (sK7 @ X1 @ X0)) => (X0 @ (sK7 @ X1 @ X0))) = $false)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f176])).
% 0.18/0.57 thf(f176,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (((X0 @ X1) = $true) | ($false = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK7 @ X1 @ X0)))) )),
% 0.18/0.57 inference(sigma_clausification,[],[f175])).
% 0.18/0.57 thf(f175,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | ((X0 @ X1) = $true)) )),
% 0.18/0.57 inference(not_proxy_clausification,[],[f174])).
% 0.18/0.57 thf(f174,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) | ((X0 @ X1) = $true)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f173])).
% 0.18/0.57 thf(f173,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | (X0 @ X1)))) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f172])).
% 0.18/0.57 thf(f172,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0))) @ X1) = $true)) )),
% 0.18/0.57 inference(pi_clausification,[],[f171])).
% 0.18/0.57 thf(f171,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (X0 @ Y0)))) = $true)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f115])).
% 0.18/0.57 thf(f115,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0) @ X0)))) )),
% 0.18/0.57 inference(definition_unfolding,[],[f89,f96,f105,f94])).
% 0.18/0.57 thf(f94,plain,(
% 0.18/0.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.18/0.57 inference(cnf_transformation,[],[f61])).
% 0.18/0.57 thf(f61,plain,(
% 0.18/0.57 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))))),
% 0.18/0.57 inference(fool_elimination,[],[f60])).
% 0.18/0.57 thf(f60,plain,(
% 0.18/0.57 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X0 @ X2 @ X3) => (X1 @ X3)))))),
% 0.18/0.57 inference(rectify,[],[f8])).
% 0.18/0.57 thf(f8,axiom,(
% 0.18/0.57 (mbox = (^[X4 : $i > $i > $o, X5 : $i > $o, X0 : $i] : (! [X2] : ((X4 @ X0 @ X2) => (X5 @ X2)))))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',mbox)).
% 0.18/0.57 thf(f105,plain,(
% 0.18/0.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.18/0.57 inference(definition_unfolding,[],[f90,f85,f101])).
% 0.18/0.57 thf(f101,plain,(
% 0.18/0.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.18/0.57 inference(cnf_transformation,[],[f40])).
% 0.18/0.57 thf(f40,plain,(
% 0.18/0.57 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.18/0.57 inference(fool_elimination,[],[f39])).
% 0.18/0.57 thf(f39,plain,(
% 0.18/0.57 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.18/0.57 inference(rectify,[],[f3])).
% 0.18/0.57 thf(f3,axiom,(
% 0.18/0.57 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',mnot)).
% 0.18/0.57 thf(f85,plain,(
% 0.18/0.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.18/0.57 inference(cnf_transformation,[],[f42])).
% 0.18/0.57 thf(f42,plain,(
% 0.18/0.57 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.18/0.57 inference(fool_elimination,[],[f41])).
% 0.18/0.57 thf(f41,plain,(
% 0.18/0.57 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.18/0.57 inference(rectify,[],[f4])).
% 0.18/0.57 thf(f4,axiom,(
% 0.18/0.57 ((^[X0 : $i > $o, X2 : $i > $o, X1 : $i] : ((X2 @ X1) | (X0 @ X1))) = mor)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',mor)).
% 0.18/0.57 thf(f90,plain,(
% 0.18/0.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.18/0.57 inference(cnf_transformation,[],[f64])).
% 0.18/0.57 thf(f64,plain,(
% 0.18/0.57 (mimpl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.18/0.57 inference(fool_elimination,[],[f63])).
% 0.18/0.57 thf(f63,plain,(
% 0.18/0.57 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimpl)),
% 0.18/0.57 inference(rectify,[],[f6])).
% 0.18/0.57 thf(f6,axiom,(
% 0.18/0.57 ((^[X1 : $i > $o, X3 : $i > $o] : (mor @ (mnot @ X1) @ X3)) = mimpl)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',mimpl)).
% 0.18/0.57 thf(f96,plain,(
% 0.18/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.18/0.57 inference(cnf_transformation,[],[f59])).
% 0.18/0.57 thf(f59,plain,(
% 0.18/0.57 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.18/0.57 inference(fool_elimination,[],[f58])).
% 0.18/0.57 thf(f58,plain,(
% 0.18/0.57 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.18/0.57 inference(rectify,[],[f12])).
% 0.18/0.57 thf(f12,axiom,(
% 0.18/0.57 ((^[X5 : $i > $o] : (! [X6] : (X5 @ X6))) = mvalid)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',mvalid)).
% 0.18/0.57 thf(f89,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0)) = $true)) )),
% 0.18/0.57 inference(cnf_transformation,[],[f44])).
% 0.18/0.57 thf(f44,plain,(
% 0.18/0.57 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0)) = $true)),
% 0.18/0.57 inference(fool_elimination,[],[f43])).
% 0.18/0.57 thf(f43,plain,(
% 0.18/0.57 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ X0))),
% 0.18/0.57 inference(rectify,[],[f25])).
% 0.18/0.57 thf(f25,axiom,(
% 0.18/0.57 ! [X7 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X7) @ X7))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',refl_axiom)).
% 0.18/0.57 thf(f179,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (((rel @ X1 @ (sK7 @ X1 @ X0)) = $true) | ((X0 @ X1) = $true)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f177])).
% 0.18/0.57 thf(f1402,plain,(
% 0.18/0.57 ($false = (rel @ sK6 @ sK6)) | ~spl0_64),
% 0.18/0.57 inference(avatar_component_clause,[],[f1400])).
% 0.18/0.57 thf(f1400,plain,(
% 0.18/0.57 spl0_64 <=> ($false = (rel @ sK6 @ sK6))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_64])])).
% 0.18/0.57 thf(f1691,plain,(
% 0.18/0.57 ~spl0_54),
% 0.18/0.57 inference(avatar_contradiction_clause,[],[f1690])).
% 0.18/0.57 thf(f1690,plain,(
% 0.18/0.57 $false | ~spl0_54),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1689])).
% 0.18/0.57 thf(f1689,plain,(
% 0.18/0.57 ($false = $true) | ~spl0_54),
% 0.18/0.57 inference(backward_demodulation,[],[f164,f1673])).
% 0.18/0.57 thf(f1673,plain,(
% 0.18/0.57 ((rel @ sK4 @ sK5) = $false) | ~spl0_54),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1666])).
% 0.18/0.57 thf(f1666,plain,(
% 0.18/0.57 ((rel @ sK4 @ sK5) = $false) | ($false = $true) | ~spl0_54),
% 0.18/0.57 inference(superposition,[],[f150,f1220])).
% 0.18/0.57 thf(f1220,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (((rel @ sK2 @ X1) = $false) | ((rel @ X1 @ sK5) = $false)) ) | ~spl0_54),
% 0.18/0.57 inference(avatar_component_clause,[],[f1219])).
% 0.18/0.57 thf(f1219,plain,(
% 0.18/0.57 spl0_54 <=> ! [X1] : (((rel @ sK2 @ X1) = $false) | ((rel @ X1 @ sK5) = $false))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_54])])).
% 0.18/0.57 thf(f150,plain,(
% 0.18/0.57 ($true = (rel @ sK2 @ sK4))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f148])).
% 0.18/0.57 thf(f148,plain,(
% 0.18/0.57 ($false = ((rel @ sK2 @ sK4) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))))))))))),
% 0.18/0.57 inference(beta_eta_normalization,[],[f147])).
% 0.18/0.57 thf(f147,plain,(
% 0.18/0.57 (((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))) @ sK4) = $false)),
% 0.18/0.57 inference(sigma_clausification,[],[f125])).
% 0.18/0.57 thf(f125,plain,(
% 0.18/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))))))))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f123])).
% 0.18/0.57 thf(f123,plain,(
% 0.18/0.57 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f122])).
% 0.18/0.57 thf(f122,plain,(
% 0.18/0.57 ($false = ((rel @ sK1 @ sK2) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))))))))))))))),
% 0.18/0.57 inference(beta_eta_normalization,[],[f121])).
% 0.18/0.57 thf(f121,plain,(
% 0.18/0.57 (((^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3))))))))))))))) @ sK2) = $false)),
% 0.18/0.57 inference(sigma_clausification,[],[f120])).
% 0.18/0.57 thf(f120,plain,(
% 0.18/0.57 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((a @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3))))))))))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (s @ Y3))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => (t @ Y3)))))))))))))))) = $false)),
% 0.18/0.57 inference(beta_eta_normalization,[],[f119])).
% 0.18/0.57 thf(f119,plain,(
% 0.18/0.57 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4))))))))))))))))) @ sK1) = $false)),
% 0.18/0.57 inference(sigma_clausification,[],[f118])).
% 0.18/0.57 thf(f118,plain,(
% 0.18/0.57 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((a @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((~ (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4))))))))))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => ((~ (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (s @ Y4))))))))) | (!! @ $i @ (^[Y3 : $i]: ((rel @ Y2 @ Y3) => ((a @ Y3) | (!! @ $i @ (^[Y4 : $i]: ((rel @ Y3 @ Y4) => (t @ Y4)))))))))))))))))) != $true)),
% 0.18/0.57 inference(beta_eta_normalization,[],[f116])).
% 0.18/0.57 thf(f116,plain,(
% 0.18/0.57 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ t))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ s)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))) @ ((^[Y0 : $i > $o]: (Y0)) @ a) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)) @ t))))))),
% 0.18/0.57 inference(definition_unfolding,[],[f91,f114,f110,f113,f103,f110,f107,f107,f110,f113,f103,f107,f113,f103,f107])).
% 0.18/0.57 thf(f107,plain,(
% 0.18/0.57 (icl_atom = (^[Y0 : $i > $o]: ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((Y1 @ Y3 @ Y4) => (Y2 @ Y4))))))))) @ rel @ Y0)))),
% 0.18/0.57 inference(definition_unfolding,[],[f83,f94])).
% 0.18/0.57 thf(f83,plain,(
% 0.18/0.57 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.18/0.57 inference(cnf_transformation,[],[f55])).
% 0.18/0.57 thf(f55,plain,(
% 0.18/0.57 (icl_atom = (^[Y0 : $i > $o]: (mbox @ rel @ Y0)))),
% 0.18/0.57 inference(fool_elimination,[],[f54])).
% 0.18/0.57 thf(f54,plain,(
% 0.18/0.57 (icl_atom = (^[X0 : $i > $o] : (mbox @ rel @ X0)))),
% 0.18/0.57 inference(rectify,[],[f16])).
% 0.18/0.57 thf(f16,axiom,(
% 0.18/0.57 (icl_atom = (^[X5 : $i > $o] : (mbox @ rel @ X5)))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',icl_atom)).
% 0.18/0.57 thf(f103,plain,(
% 0.18/0.57 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.18/0.57 inference(cnf_transformation,[],[f74])).
% 0.18/0.57 thf(f74,plain,(
% 0.18/0.57 (icl_princ = (^[Y0 : $i > $o]: (Y0)))),
% 0.18/0.57 inference(fool_elimination,[],[f73])).
% 0.18/0.57 thf(f73,plain,(
% 0.18/0.57 ((^[X0 : $i > $o] : (X0)) = icl_princ)),
% 0.18/0.57 inference(rectify,[],[f17])).
% 0.18/0.57 thf(f17,axiom,(
% 0.18/0.57 ((^[X5 : $i > $o] : (X5)) = icl_princ)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',icl_princ)).
% 0.18/0.57 thf(f113,plain,(
% 0.18/0.57 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 0.18/0.57 inference(definition_unfolding,[],[f88,f94,f85])).
% 0.18/0.57 thf(f88,plain,(
% 0.18/0.57 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.18/0.57 inference(cnf_transformation,[],[f46])).
% 0.18/0.57 thf(f46,plain,(
% 0.18/0.57 (icl_says = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mor @ Y0 @ Y1))))))),
% 0.18/0.57 inference(fool_elimination,[],[f45])).
% 0.18/0.57 thf(f45,plain,(
% 0.18/0.57 ((^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mor @ X0 @ X1))) = icl_says)),
% 0.18/0.57 inference(rectify,[],[f23])).
% 0.18/0.57 thf(f23,axiom,(
% 0.18/0.57 ((^[X7 : $i > $o, X9 : $i > $o] : (mbox @ rel @ (mor @ X7 @ X9))) = icl_says)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',icl_says)).
% 0.18/0.57 thf(f110,plain,(
% 0.18/0.57 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y2 @ Y4 @ Y5) => (Y3 @ Y5))))))))) @ rel @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1))))))),
% 0.18/0.57 inference(definition_unfolding,[],[f79,f94,f105])).
% 0.18/0.57 thf(f79,plain,(
% 0.18/0.57 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.18/0.57 inference(cnf_transformation,[],[f50])).
% 0.18/0.57 thf(f50,plain,(
% 0.18/0.57 (icl_impl = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mbox @ rel @ (mimpl @ Y0 @ Y1))))))),
% 0.18/0.57 inference(fool_elimination,[],[f49])).
% 0.18/0.57 thf(f49,plain,(
% 0.18/0.57 (icl_impl = (^[X0 : $i > $o, X1 : $i > $o] : (mbox @ rel @ (mimpl @ X0 @ X1))))),
% 0.18/0.57 inference(rectify,[],[f20])).
% 0.18/0.57 thf(f20,axiom,(
% 0.18/0.57 (icl_impl = (^[X7 : $i > $o, X8 : $i > $o] : (mbox @ rel @ (mimpl @ X7 @ X8))))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',icl_impl)).
% 0.18/0.57 thf(f114,plain,(
% 0.18/0.57 (iclval = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (Y1 @ Y2)))) @ Y0)))),
% 0.18/0.57 inference(definition_unfolding,[],[f92,f96])).
% 0.18/0.57 thf(f92,plain,(
% 0.18/0.57 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.18/0.57 inference(cnf_transformation,[],[f32])).
% 0.18/0.57 thf(f32,plain,(
% 0.18/0.57 (iclval = (^[Y0 : $i > $o]: (mvalid @ Y0)))),
% 0.18/0.57 inference(fool_elimination,[],[f24])).
% 0.18/0.57 thf(f24,axiom,(
% 0.18/0.57 ((^[X0 : $i > $o] : (mvalid @ X0)) = iclval)),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',icl_s4_valid)).
% 0.18/0.57 thf(f91,plain,(
% 0.18/0.57 ((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) != $true)),
% 0.18/0.57 inference(cnf_transformation,[],[f77])).
% 0.18/0.57 thf(f77,plain,(
% 0.18/0.57 ((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) != $true)),
% 0.18/0.57 inference(flattening,[],[f57])).
% 0.18/0.57 thf(f57,plain,(
% 0.18/0.57 ~((iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t))))) = $true)),
% 0.18/0.57 inference(fool_elimination,[],[f56])).
% 0.18/0.57 thf(f56,plain,(
% 0.18/0.57 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.18/0.57 inference(rectify,[],[f28])).
% 0.18/0.57 thf(f28,negated_conjecture,(
% 0.18/0.57 ~(iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.18/0.57 inference(negated_conjecture,[],[f27])).
% 0.18/0.57 thf(f27,conjecture,(
% 0.18/0.57 (iclval @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_impl @ (icl_atom @ s) @ (icl_atom @ t))) @ (icl_impl @ (icl_says @ (icl_princ @ a) @ (icl_atom @ s)) @ (icl_says @ (icl_princ @ a) @ (icl_atom @ t)))))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',cuc)).
% 0.18/0.57 thf(f164,plain,(
% 0.18/0.57 ((rel @ sK4 @ sK5) = $true)),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f162])).
% 0.18/0.57 thf(f162,plain,(
% 0.18/0.57 (((rel @ sK4 @ sK5) => ((a @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (t @ Y0)))))) = $false)),
% 0.18/0.57 inference(beta_eta_normalization,[],[f161])).
% 0.18/0.57 thf(f161,plain,(
% 0.18/0.57 ($false = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1))))))) @ sK5))),
% 0.18/0.57 inference(sigma_clausification,[],[f151])).
% 0.18/0.57 thf(f151,plain,(
% 0.18/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f149])).
% 0.18/0.57 thf(f149,plain,(
% 0.18/0.57 ($false = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1))))))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f148])).
% 0.18/0.57 thf(f1408,plain,(
% 0.18/0.57 spl0_31 | spl0_64 | spl0_28 | ~spl0_10 | ~spl0_29),
% 0.18/0.57 inference(avatar_split_clause,[],[f1407,f663,f393,f659,f1400,f795])).
% 0.18/0.57 thf(f795,plain,(
% 0.18/0.57 spl0_31 <=> ! [X0] : (((rel @ sK6 @ X0) = $false) | ((t @ X0) = $true))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_31])])).
% 0.18/0.57 thf(f659,plain,(
% 0.18/0.57 spl0_28 <=> ((rel @ sK2 @ sK5) = $false)),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_28])])).
% 0.18/0.57 thf(f393,plain,(
% 0.18/0.57 spl0_10 <=> ! [X0,X1] : (($true = (s @ X1)) | ((rel @ sK6 @ X0) = $false) | ($false = (rel @ X0 @ X1)))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 0.18/0.57 thf(f663,plain,(
% 0.18/0.57 spl0_29 <=> ($false = (s @ (sK3 @ sK6)))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_29])])).
% 0.18/0.57 thf(f1407,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((t @ X0) = $true) | ((rel @ sK2 @ sK5) = $false) | ((rel @ sK6 @ X0) = $false) | ($false = (rel @ sK6 @ sK6))) ) | (~spl0_10 | ~spl0_29)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1406])).
% 0.18/0.57 thf(f1406,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = (rel @ sK6 @ sK6)) | ((rel @ sK2 @ sK5) = $false) | ((rel @ sK6 @ X0) = $false) | ($false = $true) | ((t @ X0) = $true)) ) | (~spl0_10 | ~spl0_29)),
% 0.18/0.57 inference(forward_demodulation,[],[f1405,f166])).
% 0.18/0.57 thf(f166,plain,(
% 0.18/0.57 ((a @ sK5) = $false)),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f163])).
% 0.18/0.57 thf(f163,plain,(
% 0.18/0.57 ($false = ((a @ sK5) | (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (t @ Y0))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f162])).
% 0.18/0.57 thf(f1405,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((rel @ sK2 @ sK5) = $false) | ($false = (rel @ sK6 @ sK6)) | ((rel @ sK6 @ X0) = $false) | ((a @ sK5) = $true) | ((t @ X0) = $true)) ) | (~spl0_10 | ~spl0_29)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1404])).
% 0.18/0.57 thf(f1404,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((t @ X0) = $true) | ((rel @ sK2 @ sK5) = $false) | ((rel @ sK6 @ X0) = $false) | ($false = $true) | ($false = (rel @ sK6 @ sK6)) | ((a @ sK5) = $true)) ) | (~spl0_10 | ~spl0_29)),
% 0.18/0.57 inference(forward_demodulation,[],[f1026,f665])).
% 0.18/0.57 thf(f665,plain,(
% 0.18/0.57 ($false = (s @ (sK3 @ sK6))) | ~spl0_29),
% 0.18/0.57 inference(avatar_component_clause,[],[f663])).
% 0.18/0.57 thf(f1026,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = (rel @ sK6 @ sK6)) | ($true = (s @ (sK3 @ sK6))) | ((rel @ sK6 @ X0) = $false) | ((t @ X0) = $true) | ((a @ sK5) = $true) | ((rel @ sK2 @ sK5) = $false)) ) | ~spl0_10),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1008])).
% 0.18/0.57 thf(f1008,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((rel @ sK6 @ X0) = $false) | ($true = (s @ (sK3 @ sK6))) | ((a @ sK5) = $true) | ($false = $true) | ((rel @ sK2 @ sK5) = $false) | ((t @ X0) = $true) | ($false = (rel @ sK6 @ sK6))) ) | ~spl0_10),
% 0.18/0.57 inference(superposition,[],[f793,f170])).
% 0.18/0.57 thf(f170,plain,(
% 0.18/0.57 ((rel @ sK5 @ sK6) = $true)),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f168])).
% 0.18/0.57 thf(f168,plain,(
% 0.18/0.57 ($false = ((rel @ sK5 @ sK6) => (t @ sK6)))),
% 0.18/0.57 inference(beta_eta_normalization,[],[f167])).
% 0.18/0.57 thf(f167,plain,(
% 0.18/0.57 (((^[Y0 : $i]: ((rel @ sK5 @ Y0) => (t @ Y0))) @ sK6) = $false)),
% 0.18/0.57 inference(sigma_clausification,[],[f165])).
% 0.18/0.57 thf(f165,plain,(
% 0.18/0.57 ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK5 @ Y0) => (t @ Y0)))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f163])).
% 0.18/0.57 thf(f793,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (rel @ X2 @ X0)) | ((rel @ sK2 @ X2) = $false) | ((rel @ sK6 @ X0) = $false) | ($false = (rel @ X0 @ X1)) | ($true = (a @ X2)) | ((t @ X1) = $true) | ((s @ (sK3 @ X0)) = $true)) ) | ~spl0_10),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f767])).
% 0.18/0.57 thf(f767,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((rel @ sK6 @ X0) = $false) | ((s @ (sK3 @ X0)) = $true) | ($false = $true) | ((t @ X1) = $true) | ($false = (rel @ X2 @ X0)) | ($true = (a @ X2)) | ((rel @ sK2 @ X2) = $false) | ($false = (rel @ X0 @ X1))) ) | ~spl0_10),
% 0.18/0.57 inference(superposition,[],[f394,f143])).
% 0.18/0.57 thf(f143,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (rel @ X2 @ (sK3 @ X2))) | ($false = (rel @ X2 @ X3)) | ($true = (a @ X1)) | ((rel @ X1 @ X2) = $false) | ((t @ X3) = $true) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f142])).
% 0.18/0.57 thf(f142,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((rel @ X1 @ X2) = $false) | (((rel @ X2 @ X3) => (t @ X3)) = $true) | ($true = (rel @ X2 @ (sK3 @ X2))) | ($true = (a @ X1)) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f141])).
% 0.18/0.57 thf(f141,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))) @ X3) = $true) | ($true = (a @ X1)) | ($true = (rel @ X2 @ (sK3 @ X2))) | ((rel @ X1 @ X2) = $false) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(pi_clausification,[],[f140])).
% 0.18/0.57 thf(f140,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((rel @ sK2 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ((rel @ X1 @ X2) = $false) | ($true = (rel @ X2 @ (sK3 @ X2))) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f138])).
% 0.18/0.57 thf(f138,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (($false = ((rel @ X2 @ (sK3 @ X2)) => (s @ (sK3 @ X2)))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ($true = (a @ X1)) | ((rel @ X1 @ X2) = $false) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f137])).
% 0.18/0.57 thf(f137,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((rel @ sK2 @ X1) = $false) | ($false = ((^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))) @ (sK3 @ X2))) | ((rel @ X1 @ X2) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(sigma_clausification,[],[f136])).
% 0.18/0.57 thf(f136,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) | ($true = (a @ X1)) | ((rel @ X1 @ X2) = $false) | ((rel @ sK2 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0)))))) )),
% 0.18/0.57 inference(not_proxy_clausification,[],[f135])).
% 0.18/0.57 thf(f135,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) = $true) | ((rel @ sK2 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ((rel @ X1 @ X2) = $false) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f134])).
% 0.18/0.57 thf(f134,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((rel @ sK2 @ X1) = $false) | ((rel @ X1 @ X2) = $false) | ($true = (a @ X1)) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f133])).
% 0.18/0.57 thf(f133,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (($true = ((rel @ X1 @ X2) => ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (s @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))))) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f132])).
% 0.18/0.57 thf(f132,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1))))))) @ X2)) | ($true = (a @ X1)) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(pi_clausification,[],[f131])).
% 0.18/0.57 thf(f131,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))))))) = $true) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f130])).
% 0.18/0.57 thf(f130,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (((rel @ sK2 @ X1) = $false) | ($true = ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1))))))))))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f129])).
% 0.18/0.57 thf(f129,plain,(
% 0.18/0.57 ( ! [X1 : $i] : ((((rel @ sK2 @ X1) => ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (t @ Y1)))))))))) = $true)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f128])).
% 0.18/0.57 thf(f128,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))) @ X1))) )),
% 0.18/0.57 inference(pi_clausification,[],[f127])).
% 0.18/0.57 thf(f127,plain,(
% 0.18/0.57 ((!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2)))))))))))) = $true)),
% 0.18/0.57 inference(not_proxy_clausification,[],[f126])).
% 0.18/0.57 thf(f126,plain,(
% 0.18/0.57 ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK2 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => ((~ (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (s @ Y2))))) | (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (t @ Y2))))))))))))))),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f123])).
% 0.18/0.57 thf(f394,plain,(
% 0.18/0.57 ( ! [X0 : $i,X1 : $i] : (($false = (rel @ X0 @ X1)) | ((rel @ sK6 @ X0) = $false) | ($true = (s @ X1))) ) | ~spl0_10),
% 0.18/0.57 inference(avatar_component_clause,[],[f393])).
% 0.18/0.57 thf(f1383,plain,(
% 0.18/0.57 ~spl0_28 | ~spl0_51),
% 0.18/0.57 inference(avatar_contradiction_clause,[],[f1382])).
% 0.18/0.57 thf(f1382,plain,(
% 0.18/0.57 $false | (~spl0_28 | ~spl0_51)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1381])).
% 0.18/0.57 thf(f1381,plain,(
% 0.18/0.57 ($false = $true) | (~spl0_28 | ~spl0_51)),
% 0.18/0.57 inference(backward_demodulation,[],[f164,f1369])).
% 0.18/0.57 thf(f1369,plain,(
% 0.18/0.57 ((rel @ sK4 @ sK5) = $false) | (~spl0_28 | ~spl0_51)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1344])).
% 0.18/0.57 thf(f1344,plain,(
% 0.18/0.57 ($false = $true) | ((rel @ sK4 @ sK5) = $false) | (~spl0_28 | ~spl0_51)),
% 0.18/0.57 inference(superposition,[],[f661,f1306])).
% 0.18/0.57 thf(f1306,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($true = (rel @ sK2 @ X0)) | ($false = (rel @ sK4 @ X0))) ) | ~spl0_51),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1295])).
% 0.18/0.57 thf(f1295,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = (rel @ sK4 @ X0)) | ($false = $true) | ($true = (rel @ sK2 @ X0))) ) | ~spl0_51),
% 0.18/0.57 inference(superposition,[],[f150,f1208])).
% 0.18/0.57 thf(f1208,plain,(
% 0.18/0.57 ( ! [X3 : $i,X1 : $i] : (($false = (rel @ sK2 @ X3)) | ((rel @ sK2 @ X1) = $true) | ((rel @ X3 @ X1) = $false)) ) | ~spl0_51),
% 0.18/0.57 inference(avatar_component_clause,[],[f1207])).
% 0.18/0.57 thf(f1207,plain,(
% 0.18/0.57 spl0_51 <=> ! [X1,X3] : (((rel @ sK2 @ X1) = $true) | ($false = (rel @ sK2 @ X3)) | ((rel @ X3 @ X1) = $false))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_51])])).
% 0.18/0.57 thf(f661,plain,(
% 0.18/0.57 ((rel @ sK2 @ sK5) = $false) | ~spl0_28),
% 0.18/0.57 inference(avatar_component_clause,[],[f659])).
% 0.18/0.57 thf(f1247,plain,(
% 0.18/0.57 spl0_54 | spl0_51 | ~spl0_28),
% 0.18/0.57 inference(avatar_split_clause,[],[f1146,f659,f1207,f1219])).
% 0.18/0.57 thf(f1146,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((rel @ sK2 @ X1) = $false) | ((rel @ X1 @ sK5) = $false) | ($true = (rel @ sK2 @ X0)) | ((rel @ sK2 @ X2) = $false) | ($false = (rel @ X2 @ X0))) ) | ~spl0_28),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f1105])).
% 0.18/0.57 thf(f1105,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (rel @ X2 @ X0)) | ($false = $true) | ((rel @ X1 @ sK5) = $false) | ((rel @ sK2 @ X2) = $false) | ($true = (rel @ sK2 @ X0)) | ((rel @ sK2 @ X1) = $false)) ) | ~spl0_28),
% 0.18/0.57 inference(superposition,[],[f293,f661])).
% 0.18/0.57 thf(f293,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($true = (rel @ X0 @ X4)) | ((rel @ X0 @ X2) = $true) | ((rel @ X0 @ X3) = $false) | ($false = (rel @ X0 @ X1)) | ((rel @ X1 @ X2) = $false) | ($false = (rel @ X3 @ X4))) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f283])).
% 0.18/0.57 thf(f283,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : (($false = $true) | ((rel @ X0 @ X3) = $false) | ($true = (rel @ X0 @ X4)) | ((rel @ X0 @ X2) = $true) | ($false = (rel @ X0 @ X1)) | ($false = (rel @ X3 @ X4)) | ((rel @ X1 @ X2) = $false)) )),
% 0.18/0.57 inference(superposition,[],[f194,f193])).
% 0.18/0.57 thf(f193,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (X0 @ (sK8 @ X1 @ X0))) | ((rel @ X1 @ X2) = $false) | ($false = (rel @ X2 @ X3)) | ($true = (X0 @ X3))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f192])).
% 0.18/0.57 thf(f192,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X2 @ X3)) | ($true = (X0 @ X3)) | ((rel @ X1 @ X2) = $false) | (((rel @ X1 @ (sK8 @ X1 @ X0)) => (X0 @ (sK8 @ X1 @ X0))) = $false)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f191])).
% 0.18/0.57 thf(f191,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (rel @ X2 @ X3)) | ((rel @ X1 @ X2) = $false) | ($false = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))) @ (sK8 @ X1 @ X0))) | ($true = (X0 @ X3))) )),
% 0.18/0.57 inference(sigma_clausification,[],[f190])).
% 0.18/0.57 thf(f190,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | ($false = (rel @ X2 @ X3)) | ($true = (X0 @ X3)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f189])).
% 0.18/0.57 thf(f189,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = ((rel @ X2 @ X3) => (X0 @ X3))) | ((rel @ X1 @ X2) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f188])).
% 0.18/0.57 thf(f188,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((rel @ X1 @ X2) = $false) | (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0))) @ X3) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.18/0.57 inference(pi_clausification,[],[f187])).
% 0.18/0.57 thf(f187,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | ((rel @ X1 @ X2) = $false)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f186])).
% 0.18/0.57 thf(f186,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = ((rel @ X1 @ X2) => (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (X0 @ Y0)))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f185])).
% 0.18/0.57 thf(f185,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | ($true = ((^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))) @ X2))) )),
% 0.18/0.57 inference(pi_clausification,[],[f184])).
% 0.18/0.57 thf(f184,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) = $true) | ($false = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) )),
% 0.18/0.57 inference(not_proxy_clausification,[],[f183])).
% 0.18/0.57 thf(f183,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0)))))) | ((!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))))) = $true)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f182])).
% 0.18/0.57 thf(f182,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (X0 @ Y0))))) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1)))))))) = $true)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f181])).
% 0.18/0.57 thf(f181,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2))))))))) @ X1) = $true)) )),
% 0.18/0.57 inference(pi_clausification,[],[f180])).
% 0.18/0.57 thf(f180,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((~ (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (X0 @ Y1))))) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((rel @ Y1 @ Y2) => (X0 @ Y2)))))))))) = $true)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f117])).
% 0.18/0.57 thf(f117,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : ((((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y2 @ Y3) => (Y1 @ Y3))))))))) @ rel @ X0)))) = $true)) )),
% 0.18/0.57 inference(definition_unfolding,[],[f100,f96,f105,f94,f94,f94])).
% 0.18/0.57 thf(f100,plain,(
% 0.18/0.57 ( ! [X0 : $i > $o] : (((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)) )),
% 0.18/0.57 inference(cnf_transformation,[],[f70])).
% 0.18/0.57 thf(f70,plain,(
% 0.18/0.57 ! [X0 : $i > $o] : ((mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0)))) = $true)),
% 0.18/0.57 inference(fool_elimination,[],[f69])).
% 0.18/0.57 thf(f69,plain,(
% 0.18/0.57 ! [X0 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X0) @ (mbox @ rel @ (mbox @ rel @ X0))))),
% 0.18/0.57 inference(rectify,[],[f26])).
% 0.18/0.57 thf(f26,axiom,(
% 0.18/0.57 ! [X8 : $i > $o] : (mvalid @ (mimpl @ (mbox @ rel @ X8) @ (mbox @ rel @ (mbox @ rel @ X8))))),
% 0.18/0.57 file('/export/starexec/sandbox/tmp/tmp.vYM1EpFVLI/Vampire---4.8_9903',trans_axiom)).
% 0.18/0.57 thf(f194,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($true = (rel @ X1 @ (sK8 @ X1 @ X0))) | ((rel @ X1 @ X2) = $false) | ($false = (rel @ X2 @ X3)) | ($true = (X0 @ X3))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f192])).
% 0.18/0.57 thf(f878,plain,(
% 0.18/0.57 ~spl0_31),
% 0.18/0.57 inference(avatar_contradiction_clause,[],[f877])).
% 0.18/0.57 thf(f877,plain,(
% 0.18/0.57 $false | ~spl0_31),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f876])).
% 0.18/0.57 thf(f876,plain,(
% 0.18/0.57 ($false = $true) | ~spl0_31),
% 0.18/0.57 inference(forward_demodulation,[],[f864,f169])).
% 0.18/0.57 thf(f169,plain,(
% 0.18/0.57 ((t @ sK6) = $false)),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f168])).
% 0.18/0.57 thf(f864,plain,(
% 0.18/0.57 ((t @ sK6) = $true) | ~spl0_31),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f856])).
% 0.18/0.57 thf(f856,plain,(
% 0.18/0.57 ((t @ sK6) = $true) | ($false = $true) | ~spl0_31),
% 0.18/0.57 inference(superposition,[],[f796,f211])).
% 0.18/0.57 thf(f796,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((rel @ sK6 @ X0) = $false) | ((t @ X0) = $true)) ) | ~spl0_31),
% 0.18/0.57 inference(avatar_component_clause,[],[f795])).
% 0.18/0.57 thf(f677,plain,(
% 0.18/0.57 spl0_28 | spl0_29),
% 0.18/0.57 inference(avatar_split_clause,[],[f676,f663,f659])).
% 0.18/0.57 thf(f676,plain,(
% 0.18/0.57 ($false = (s @ (sK3 @ sK6))) | ((rel @ sK2 @ sK5) = $false)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f675])).
% 0.18/0.57 thf(f675,plain,(
% 0.18/0.57 ($false = $true) | ($false = (s @ (sK3 @ sK6))) | ((rel @ sK2 @ sK5) = $false)),
% 0.18/0.57 inference(forward_demodulation,[],[f674,f169])).
% 0.18/0.57 thf(f674,plain,(
% 0.18/0.57 ($false = (s @ (sK3 @ sK6))) | ((rel @ sK2 @ sK5) = $false) | ((t @ sK6) = $true)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f673])).
% 0.18/0.57 thf(f673,plain,(
% 0.18/0.57 ((rel @ sK2 @ sK5) = $false) | ((t @ sK6) = $true) | ($false = (s @ (sK3 @ sK6))) | ($false = $true)),
% 0.18/0.57 inference(forward_demodulation,[],[f638,f166])).
% 0.18/0.57 thf(f638,plain,(
% 0.18/0.57 ($false = (s @ (sK3 @ sK6))) | ((rel @ sK2 @ sK5) = $false) | ((a @ sK5) = $true) | ((t @ sK6) = $true)),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f629])).
% 0.18/0.57 thf(f629,plain,(
% 0.18/0.57 ((a @ sK5) = $true) | ((rel @ sK2 @ sK5) = $false) | ($false = (s @ (sK3 @ sK6))) | ($false = $true) | ((t @ sK6) = $true)),
% 0.18/0.57 inference(superposition,[],[f522,f170])).
% 0.18/0.57 thf(f522,plain,(
% 0.18/0.57 ( ! [X0 : $i,X1 : $i] : (($false = (rel @ X1 @ X0)) | ($true = (a @ X1)) | ((t @ X0) = $true) | ($false = (s @ (sK3 @ X0))) | ((rel @ sK2 @ X1) = $false)) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f499])).
% 0.18/0.57 thf(f499,plain,(
% 0.18/0.57 ( ! [X0 : $i,X1 : $i] : (($false = (rel @ X1 @ X0)) | ($true = (a @ X1)) | ((rel @ sK2 @ X1) = $false) | ($false = (s @ (sK3 @ X0))) | ($false = $true) | ((t @ X0) = $true)) )),
% 0.18/0.57 inference(superposition,[],[f146,f211])).
% 0.18/0.57 thf(f146,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (rel @ X2 @ X3)) | ((s @ (sK3 @ X2)) = $false) | ((t @ X3) = $true) | ((rel @ X1 @ X2) = $false) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f145])).
% 0.18/0.57 thf(f145,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (a @ X1)) | ((rel @ sK2 @ X1) = $false) | (((rel @ X2 @ X3) => (t @ X3)) = $true) | ((rel @ X1 @ X2) = $false) | ((s @ (sK3 @ X2)) = $false)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f144])).
% 0.18/0.57 thf(f144,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((s @ (sK3 @ X2)) = $false) | ((rel @ X1 @ X2) = $false) | (((^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))) @ X3) = $true) | ((rel @ sK2 @ X1) = $false) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(pi_clausification,[],[f139])).
% 0.18/0.57 thf(f139,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((s @ (sK3 @ X2)) = $false) | ($true = (a @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X2 @ Y0) => (t @ Y0))))) | ((rel @ sK2 @ X1) = $false) | ((rel @ X1 @ X2) = $false)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f138])).
% 0.18/0.57 thf(f396,plain,(
% 0.18/0.57 spl0_10 | spl0_10 | ~spl0_7),
% 0.18/0.57 inference(avatar_split_clause,[],[f381,f313,f393,f393])).
% 0.18/0.57 thf(f313,plain,(
% 0.18/0.57 spl0_7 <=> ! [X0,X1] : (($true = (s @ X1)) | ($false = (rel @ sK5 @ X0)) | ($false = (rel @ X0 @ X1)))),
% 0.18/0.57 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 0.18/0.57 thf(f381,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((s @ X0) = $true) | ($false = (rel @ X1 @ X0)) | ($false = (rel @ X2 @ X3)) | ($false = (rel @ sK6 @ X2)) | ((rel @ sK6 @ X1) = $false) | ((s @ X3) = $true)) ) | ~spl0_7),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f378])).
% 0.18/0.57 thf(f378,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((s @ X0) = $true) | ((s @ X3) = $true) | ($false = $true) | ($false = (rel @ X1 @ X0)) | ($false = (rel @ sK6 @ X2)) | ($false = (rel @ X2 @ X3)) | ((rel @ sK6 @ X1) = $false)) ) | ~spl0_7),
% 0.18/0.57 inference(superposition,[],[f351,f193])).
% 0.18/0.57 thf(f351,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((s @ (sK8 @ sK6 @ X0)) = $true) | ((X0 @ X2) = $true) | ((rel @ sK6 @ X1) = $false) | ((rel @ X1 @ X2) = $false)) ) | ~spl0_7),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f345])).
% 0.18/0.57 thf(f345,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (((rel @ sK6 @ X1) = $false) | ($false = $true) | ((rel @ X1 @ X2) = $false) | ((s @ (sK8 @ sK6 @ X0)) = $true) | ((X0 @ X2) = $true)) ) | ~spl0_7),
% 0.18/0.57 inference(superposition,[],[f335,f194])).
% 0.18/0.57 thf(f335,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((rel @ sK6 @ X0) = $false) | ((s @ X0) = $true)) ) | ~spl0_7),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f330])).
% 0.18/0.57 thf(f330,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = $true) | ((s @ X0) = $true) | ((rel @ sK6 @ X0) = $false)) ) | ~spl0_7),
% 0.18/0.57 inference(superposition,[],[f170,f314])).
% 0.18/0.57 thf(f314,plain,(
% 0.18/0.57 ( ! [X0 : $i,X1 : $i] : (($false = (rel @ sK5 @ X0)) | ($false = (rel @ X0 @ X1)) | ($true = (s @ X1))) ) | ~spl0_7),
% 0.18/0.57 inference(avatar_component_clause,[],[f313])).
% 0.18/0.57 thf(f316,plain,(
% 0.18/0.57 spl0_7 | spl0_7),
% 0.18/0.57 inference(avatar_split_clause,[],[f301,f313,f313])).
% 0.18/0.57 thf(f301,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (s @ X1)) | ($false = (rel @ X0 @ X1)) | ((rel @ sK5 @ X2) = $false) | ($false = (rel @ sK5 @ X0)) | ($false = (rel @ X2 @ X3)) | ((s @ X3) = $true)) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f298])).
% 0.18/0.57 thf(f298,plain,(
% 0.18/0.57 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (rel @ X2 @ X3)) | ($false = $true) | ((s @ X3) = $true) | ($false = (rel @ sK5 @ X0)) | ($true = (s @ X1)) | ($false = (rel @ X0 @ X1)) | ((rel @ sK5 @ X2) = $false)) )),
% 0.18/0.57 inference(superposition,[],[f295,f193])).
% 0.18/0.57 thf(f295,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (s @ (sK8 @ sK5 @ X0))) | ((rel @ X1 @ X2) = $false) | ((rel @ sK5 @ X1) = $false) | ((X0 @ X2) = $true)) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f285])).
% 0.18/0.57 thf(f285,plain,(
% 0.18/0.57 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($true = (s @ (sK8 @ sK5 @ X0))) | ((rel @ X1 @ X2) = $false) | ((rel @ sK5 @ X1) = $false) | ((X0 @ X2) = $true) | ($false = $true)) )),
% 0.18/0.57 inference(superposition,[],[f238,f194])).
% 0.18/0.57 thf(f238,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = (rel @ sK5 @ X0)) | ((s @ X0) = $true)) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f237])).
% 0.18/0.57 thf(f237,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = $true) | ($false = (rel @ sK5 @ X0)) | ((s @ X0) = $true)) )),
% 0.18/0.57 inference(forward_demodulation,[],[f227,f166])).
% 0.18/0.57 thf(f227,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (((s @ X0) = $true) | ((a @ sK5) = $true) | ($false = (rel @ sK5 @ X0))) )),
% 0.18/0.57 inference(trivial_inequality_removal,[],[f219])).
% 0.18/0.57 thf(f219,plain,(
% 0.18/0.57 ( ! [X0 : $i] : (($false = $true) | ((a @ sK5) = $true) | ((s @ X0) = $true) | ($false = (rel @ sK5 @ X0))) )),
% 0.18/0.57 inference(superposition,[],[f164,f160])).
% 0.18/0.57 thf(f160,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((rel @ sK4 @ X1) = $false) | ((rel @ X1 @ X2) = $false) | ($true = (a @ X1)) | ($true = (s @ X2))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f159])).
% 0.18/0.57 thf(f159,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (($true = (a @ X1)) | ((rel @ sK4 @ X1) = $false) | (((rel @ X1 @ X2) => (s @ X2)) = $true)) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f158])).
% 0.18/0.57 thf(f158,plain,(
% 0.18/0.57 ( ! [X2 : $i,X1 : $i] : (((rel @ sK4 @ X1) = $false) | (((^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))) @ X2) = $true) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(pi_clausification,[],[f157])).
% 0.18/0.57 thf(f157,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (((rel @ sK4 @ X1) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0))))) | ($true = (a @ X1))) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f156])).
% 0.18/0.57 thf(f156,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (($true = ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))))) | ((rel @ sK4 @ X1) = $false)) )),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f155])).
% 0.18/0.57 thf(f155,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (($true = ((rel @ sK4 @ X1) => ((a @ X1) | (!! @ $i @ (^[Y0 : $i]: ((rel @ X1 @ Y0) => (s @ Y0)))))))) )),
% 0.18/0.57 inference(beta_eta_normalization,[],[f154])).
% 0.18/0.57 thf(f154,plain,(
% 0.18/0.57 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))) @ X1))) )),
% 0.18/0.57 inference(pi_clausification,[],[f153])).
% 0.18/0.57 thf(f153,plain,(
% 0.18/0.57 ($true = (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1)))))))))),
% 0.18/0.57 inference(not_proxy_clausification,[],[f152])).
% 0.18/0.57 thf(f152,plain,(
% 0.18/0.57 ((~ (!! @ $i @ (^[Y0 : $i]: ((rel @ sK4 @ Y0) => ((a @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((rel @ Y0 @ Y1) => (s @ Y1))))))))) = $false)),
% 0.18/0.57 inference(binary_proxy_clausification,[],[f149])).
% 0.18/0.57 % SZS output end Proof for Vampire---4
% 0.18/0.57 % (10037)------------------------------
% 0.18/0.57 % (10037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.57 % (10037)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (10037)Memory used [KB]: 6652
% 0.18/0.57 % (10037)Time elapsed: 0.149 s
% 0.18/0.57 % (10037)Instructions burned: 283 (million)
% 0.18/0.57 % (10037)------------------------------
% 0.18/0.57 % (10037)------------------------------
% 0.18/0.57 % (10010)Success in time 0.22 s
% 0.18/0.57 % Vampire---4.8 exiting
%------------------------------------------------------------------------------