TSTP Solution File: SET579^3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET579^3 : TPTP v8.1.2. Released v8.1.0.
% 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 : n018.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 09:07:19 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET579^3 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % 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
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 17:02:37 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a TH0_THM_EQU_NAR problem
% 0.15/0.35 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/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880
% 0.15/0.36 % (14001)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.36 % (14001)Instruction limit reached!
% 0.15/0.36 % (14001)------------------------------
% 0.15/0.36 % (14001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.36 % (14001)Termination reason: Unknown
% 0.15/0.36 % (14001)Termination phase: Property scanning
% 0.15/0.36
% 0.15/0.36 % (14001)Memory used [KB]: 1023
% 0.15/0.36 % (14001)Time elapsed: 0.003 s
% 0.15/0.36 % (14001)Instructions burned: 4 (million)
% 0.15/0.36 % (14001)------------------------------
% 0.15/0.36 % (14001)------------------------------
% 0.15/0.37 % (13995)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.15/0.37 % (13996)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.15/0.37 % (13994)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.15/0.37 % (13997)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.37 % (13998)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.15/0.37 % (13999)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.15/0.37 % (14000)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.15/0.37 % (13997)Instruction limit reached!
% 0.15/0.37 % (13997)------------------------------
% 0.15/0.37 % (13997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (13998)Instruction limit reached!
% 0.15/0.37 % (13998)------------------------------
% 0.15/0.37 % (13998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (13998)Termination reason: Unknown
% 0.15/0.37 % (13998)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (13998)Memory used [KB]: 1023
% 0.15/0.37 % (13998)Time elapsed: 0.003 s
% 0.15/0.37 % (13998)Instructions burned: 2 (million)
% 0.15/0.37 % (13998)------------------------------
% 0.15/0.37 % (13998)------------------------------
% 0.15/0.37 % (13997)Termination reason: Unknown
% 0.15/0.37 % (13997)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (13997)Memory used [KB]: 1023
% 0.15/0.37 % (13997)Time elapsed: 0.003 s
% 0.15/0.37 % (13997)Instructions burned: 2 (million)
% 0.15/0.37 % (13997)------------------------------
% 0.15/0.37 % (13997)------------------------------
% 0.15/0.37 % (13995)Instruction limit reached!
% 0.15/0.37 % (13995)------------------------------
% 0.15/0.37 % (13995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.37 % (13995)Termination reason: Unknown
% 0.15/0.37 % (13995)Termination phase: shuffling
% 0.15/0.37
% 0.15/0.37 % (13995)Memory used [KB]: 1023
% 0.15/0.37 % (13995)Time elapsed: 0.004 s
% 0.15/0.37 % (13995)Instructions burned: 4 (million)
% 0.15/0.37 % (13995)------------------------------
% 0.15/0.37 % (13995)------------------------------
% 0.15/0.37 % (14002)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on Vampire---4 for (2999ds/37Mi)
% 0.15/0.38 % (13999)Refutation not found, incomplete strategy
% 0.15/0.38 % (13999)------------------------------
% 0.15/0.38 % (13999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (13999)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.38
% 0.15/0.38
% 0.15/0.38 % (13999)Memory used [KB]: 5500
% 0.15/0.38 % (13999)Time elapsed: 0.007 s
% 0.15/0.38 % (13999)Instructions burned: 9 (million)
% 0.15/0.38 % (13999)------------------------------
% 0.15/0.38 % (13999)------------------------------
% 0.15/0.38 % (14000)Instruction limit reached!
% 0.15/0.38 % (14000)------------------------------
% 0.15/0.38 % (14000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14000)Termination reason: Unknown
% 0.15/0.38 % (14000)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (14000)Memory used [KB]: 5628
% 0.15/0.38 % (14000)Time elapsed: 0.012 s
% 0.15/0.38 % (14000)Instructions burned: 19 (million)
% 0.15/0.38 % (14000)------------------------------
% 0.15/0.38 % (14000)------------------------------
% 0.15/0.38 % (13996)Instruction limit reached!
% 0.15/0.38 % (13996)------------------------------
% 0.15/0.38 % (13996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (13996)Termination reason: Unknown
% 0.15/0.38 % (13996)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (13996)Memory used [KB]: 5884
% 0.15/0.38 % (13996)Time elapsed: 0.016 s
% 0.15/0.38 % (13996)Instructions burned: 27 (million)
% 0.15/0.38 % (13996)------------------------------
% 0.15/0.38 % (13996)------------------------------
% 0.15/0.38 % (14002)Instruction limit reached!
% 0.15/0.38 % (14002)------------------------------
% 0.15/0.38 % (14002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.38 % (14002)Termination reason: Unknown
% 0.15/0.38 % (14002)Termination phase: Saturation
% 0.15/0.38
% 0.15/0.38 % (14002)Memory used [KB]: 5884
% 0.15/0.38 % (14002)Time elapsed: 0.013 s
% 0.15/0.38 % (14002)Instructions burned: 39 (million)
% 0.15/0.38 % (14002)------------------------------
% 0.15/0.38 % (14002)------------------------------
% 0.15/0.39 % (14003)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on Vampire---4 for (2999ds/15Mi)
% 0.15/0.39 % (14004)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39 % (14005)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (2999ds/1041Mi)
% 0.15/0.39 % (14004)Instruction limit reached!
% 0.15/0.39 % (14004)------------------------------
% 0.15/0.39 % (14004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14004)Termination reason: Unknown
% 0.15/0.39 % (14004)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (14004)Memory used [KB]: 1023
% 0.15/0.39 % (14004)Time elapsed: 0.004 s
% 0.15/0.39 % (14004)Instructions burned: 4 (million)
% 0.15/0.39 % (14004)------------------------------
% 0.15/0.39 % (14004)------------------------------
% 0.15/0.39 % (14006)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.15/0.39 % (14010)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.15/0.39 % (14003)Instruction limit reached!
% 0.15/0.39 % (14003)------------------------------
% 0.15/0.39 % (14003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14003)Termination reason: Unknown
% 0.15/0.39 % (14003)Termination phase: Saturation
% 0.15/0.39
% 0.15/0.39 % (14003)Memory used [KB]: 1151
% 0.15/0.39 % (14003)Time elapsed: 0.010 s
% 0.15/0.39 % (14003)Instructions burned: 16 (million)
% 0.15/0.39 % (14003)------------------------------
% 0.15/0.39 % (14003)------------------------------
% 0.15/0.39 % (14010)Instruction limit reached!
% 0.15/0.39 % (14010)------------------------------
% 0.15/0.39 % (14010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14010)Termination reason: Unknown
% 0.15/0.39 % (14010)Termination phase: Preprocessing 1
% 0.15/0.39
% 0.15/0.39 % (14010)Memory used [KB]: 1023
% 0.15/0.39 % (14010)Time elapsed: 0.003 s
% 0.15/0.39 % (14010)Instructions burned: 6 (million)
% 0.15/0.39 % (14010)------------------------------
% 0.15/0.39 % (14010)------------------------------
% 0.15/0.39 % (14006)Instruction limit reached!
% 0.15/0.39 % (14006)------------------------------
% 0.15/0.39 % (14006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (14006)Termination reason: Unknown
% 0.15/0.39 % (14006)Termination phase: Property scanning
% 0.15/0.39
% 0.15/0.39 % (14006)Memory used [KB]: 1023
% 0.15/0.39 % (14006)Time elapsed: 0.006 s
% 0.15/0.39 % (14006)Instructions burned: 8 (million)
% 0.15/0.39 % (14006)------------------------------
% 0.15/0.39 % (14006)------------------------------
% 0.15/0.39 % (14007)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)
% 0.21/0.40 % (14009)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)
% 0.21/0.40 % (14009)Instruction limit reached!
% 0.21/0.40 % (14009)------------------------------
% 0.21/0.40 % (14009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (14009)Termination reason: Unknown
% 0.21/0.40 % (14009)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (14009)Memory used [KB]: 1023
% 0.21/0.40 % (14009)Time elapsed: 0.004 s
% 0.21/0.40 % (14009)Instructions burned: 4 (million)
% 0.21/0.40 % (14009)------------------------------
% 0.21/0.40 % (14009)------------------------------
% 0.21/0.40 % (14013)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.40 % (14011)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40 % (14007)Instruction limit reached!
% 0.21/0.40 % (14007)------------------------------
% 0.21/0.40 % (14007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (14007)Termination reason: Unknown
% 0.21/0.40 % (14007)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (14007)Memory used [KB]: 5628
% 0.21/0.40 % (14007)Time elapsed: 0.010 s
% 0.21/0.40 % (14007)Instructions burned: 16 (million)
% 0.21/0.40 % (14007)------------------------------
% 0.21/0.40 % (14007)------------------------------
% 0.21/0.40 % (14013)Instruction limit reached!
% 0.21/0.40 % (14013)------------------------------
% 0.21/0.40 % (14013)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (14013)Termination reason: Unknown
% 0.21/0.40 % (14013)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (14013)Memory used [KB]: 1023
% 0.21/0.40 % (14013)Time elapsed: 0.003 s
% 0.21/0.40 % (14013)Instructions burned: 6 (million)
% 0.21/0.40 % (14013)------------------------------
% 0.21/0.40 % (14013)------------------------------
% 0.21/0.41 % (14011)Instruction limit reached!
% 0.21/0.41 % (14011)------------------------------
% 0.21/0.41 % (14011)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (14011)Termination reason: Unknown
% 0.21/0.41 % (14011)Termination phase: Function definition elimination
% 0.21/0.41
% 0.21/0.41 % (14011)Memory used [KB]: 1023
% 0.21/0.41 % (14011)Time elapsed: 0.006 s
% 0.21/0.41 % (14011)Instructions burned: 8 (million)
% 0.21/0.41 % (14011)------------------------------
% 0.21/0.41 % (14011)------------------------------
% 0.21/0.41 % (14012)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (14014)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.41 % (14012)Instruction limit reached!
% 0.21/0.41 % (14012)------------------------------
% 0.21/0.41 % (14012)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (14012)Termination reason: Unknown
% 0.21/0.41 % (14012)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (14012)Memory used [KB]: 1023
% 0.21/0.41 % (14012)Time elapsed: 0.004 s
% 0.21/0.41 % (14012)Instructions burned: 4 (million)
% 0.21/0.41 % (14012)------------------------------
% 0.21/0.41 % (14012)------------------------------
% 0.21/0.41 % (14017)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on Vampire---4 for (2999ds/902Mi)
% 0.21/0.41 % (14017)Refutation not found, incomplete strategy
% 0.21/0.41 % (14017)------------------------------
% 0.21/0.41 % (14017)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (14017)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 % (14017)Memory used [KB]: 5628
% 0.21/0.41 % (14017)Time elapsed: 0.004 s
% 0.21/0.41 % (14017)Instructions burned: 9 (million)
% 0.21/0.41 % (14017)------------------------------
% 0.21/0.41 % (14017)------------------------------
% 0.21/0.41 % (14015)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.42 % (14016)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.42 % (14016)Instruction limit reached!
% 0.21/0.42 % (14016)------------------------------
% 0.21/0.42 % (14016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14014)Instruction limit reached!
% 0.21/0.42 % (14014)------------------------------
% 0.21/0.42 % (14014)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14014)Termination reason: Unknown
% 0.21/0.42 % (14014)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (14014)Memory used [KB]: 5628
% 0.21/0.42 % (14014)Time elapsed: 0.034 s
% 0.21/0.42 % (14014)Instructions burned: 18 (million)
% 0.21/0.42 % (14014)------------------------------
% 0.21/0.42 % (14014)------------------------------
% 0.21/0.42 % (14016)Termination reason: Unknown
% 0.21/0.42 % (14016)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (14016)Memory used [KB]: 1023
% 0.21/0.42 % (14016)Time elapsed: 0.005 s
% 0.21/0.42 % (14016)Instructions burned: 6 (million)
% 0.21/0.42 % (14016)------------------------------
% 0.21/0.42 % (14016)------------------------------
% 0.21/0.42 % (14018)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (2999ds/21Mi)
% 0.21/0.42 % (14020)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.42 % (14020)Instruction limit reached!
% 0.21/0.42 % (14020)------------------------------
% 0.21/0.42 % (14020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (14020)Termination reason: Unknown
% 0.21/0.42 % (14020)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (14020)Memory used [KB]: 1023
% 0.21/0.42 % (14020)Time elapsed: 0.003 s
% 0.21/0.42 % (14020)Instructions burned: 6 (million)
% 0.21/0.42 % (14020)------------------------------
% 0.21/0.42 % (14020)------------------------------
% 0.21/0.42 % (14019)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.43 % (14019)Instruction limit reached!
% 0.21/0.43 % (14019)------------------------------
% 0.21/0.43 % (14019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (14019)Termination reason: Unknown
% 0.21/0.43 % (14019)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (14019)Memory used [KB]: 1023
% 0.21/0.43 % (14019)Time elapsed: 0.005 s
% 0.21/0.43 % (14019)Instructions burned: 7 (million)
% 0.21/0.43 % (14019)------------------------------
% 0.21/0.43 % (14019)------------------------------
% 0.21/0.43 % (14018)Instruction limit reached!
% 0.21/0.43 % (14018)------------------------------
% 0.21/0.43 % (14018)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (14018)Termination reason: Unknown
% 0.21/0.43 % (14018)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (14018)Memory used [KB]: 5628
% 0.21/0.43 % (14018)Time elapsed: 0.012 s
% 0.21/0.43 % (14018)Instructions burned: 21 (million)
% 0.21/0.43 % (14018)------------------------------
% 0.21/0.43 % (14018)------------------------------
% 0.21/0.43 % (14023)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (2999ds/19Mi)
% 0.21/0.43 % (14023)Refutation not found, incomplete strategy
% 0.21/0.43 % (14023)------------------------------
% 0.21/0.43 % (14023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (14023)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (14023)Memory used [KB]: 5628
% 0.21/0.43 % (14023)Time elapsed: 0.004 s
% 0.21/0.43 % (14023)Instructions burned: 10 (million)
% 0.21/0.43 % (14023)------------------------------
% 0.21/0.43 % (14023)------------------------------
% 0.21/0.43 % (14021)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.44 % (14022)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on Vampire---4 for (2999ds/779Mi)
% 0.21/0.44 % (14026)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)
% 0.21/0.44 % (14026)Instruction limit reached!
% 0.21/0.44 % (14026)------------------------------
% 0.21/0.44 % (14026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14026)Termination reason: Unknown
% 0.21/0.45 % (14026)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (14026)Memory used [KB]: 1023
% 0.21/0.45 % (14026)Time elapsed: 0.003 s
% 0.21/0.45 % (14026)Instructions burned: 3 (million)
% 0.21/0.45 % (14026)------------------------------
% 0.21/0.45 % (14026)------------------------------
% 0.21/0.45 % (14024)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.45 % (14025)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.45 % (14022)Refutation not found, incomplete strategy
% 0.21/0.45 % (14022)------------------------------
% 0.21/0.45 % (14022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14022)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (14022)Memory used [KB]: 5628
% 0.21/0.45 % (14022)Time elapsed: 0.018 s
% 0.21/0.45 % (14022)Instructions burned: 30 (million)
% 0.21/0.45 % (14022)------------------------------
% 0.21/0.45 % (14022)------------------------------
% 0.21/0.45 % (14025)Instruction limit reached!
% 0.21/0.45 % (14025)------------------------------
% 0.21/0.45 % (14025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (14025)Termination reason: Unknown
% 0.21/0.45 % (14025)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (14025)Memory used [KB]: 5628
% 0.21/0.45 % (14025)Time elapsed: 0.010 s
% 0.21/0.45 % (14025)Instructions burned: 17 (million)
% 0.21/0.45 % (14025)------------------------------
% 0.21/0.45 % (14025)------------------------------
% 0.21/0.46 % (14027)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)
% 0.21/0.47 % (14028)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)
% 0.21/0.47 % (14029)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)
% 0.21/0.47 % (14027)Instruction limit reached!
% 0.21/0.47 % (14027)------------------------------
% 0.21/0.47 % (14027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (14027)Termination reason: Unknown
% 0.21/0.47 % (14027)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (14027)Memory used [KB]: 5756
% 0.21/0.47 % (14027)Time elapsed: 0.012 s
% 0.21/0.47 % (14027)Instructions burned: 31 (million)
% 0.21/0.47 % (14027)------------------------------
% 0.21/0.47 % (14027)------------------------------
% 0.21/0.47 % (13994)Instruction limit reached!
% 0.21/0.47 % (13994)------------------------------
% 0.21/0.47 % (13994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (13994)Termination reason: Unknown
% 0.21/0.47 % (13994)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (13994)Memory used [KB]: 6908
% 0.21/0.47 % (13994)Time elapsed: 0.107 s
% 0.21/0.47 % (13994)Instructions burned: 184 (million)
% 0.21/0.47 % (13994)------------------------------
% 0.21/0.47 % (13994)------------------------------
% 0.21/0.48 % (14030)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2998ds/3Mi)
% 0.21/0.48 % (14030)Instruction limit reached!
% 0.21/0.48 % (14030)------------------------------
% 0.21/0.48 % (14030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (14030)Termination reason: Unknown
% 0.21/0.48 % (14030)Termination phase: shuffling
% 0.21/0.48
% 0.21/0.48 % (14030)Memory used [KB]: 1023
% 0.21/0.48 % (14030)Time elapsed: 0.002 s
% 0.21/0.48 % (14030)Instructions burned: 3 (million)
% 0.21/0.48 % (14030)------------------------------
% 0.21/0.48 % (14030)------------------------------
% 0.21/0.48 % (14031)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on Vampire---4 for (2998ds/20Mi)
% 0.21/0.49 % (14032)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (2998ds/86Mi)
% 0.21/0.49 % (14031)Refutation not found, incomplete strategy
% 0.21/0.49 % (14031)------------------------------
% 0.21/0.49 % (14031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (14031)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (14031)Memory used [KB]: 5628
% 0.21/0.49 % (14031)Time elapsed: 0.006 s
% 0.21/0.49 % (14031)Instructions burned: 16 (million)
% 0.21/0.49 % (14031)------------------------------
% 0.21/0.49 % (14031)------------------------------
% 0.21/0.50 % (14028)First to succeed.
% 0.21/0.50 % (14033)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on Vampire---4 for (2998ds/107Mi)
% 0.21/0.50 % (14028)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for Vampire---4
% 0.21/0.50 % SZS output start Proof for Vampire---4
% 0.21/0.50 thf(type_def_5, type, mworld: $tType).
% 0.21/0.50 thf(func_def_0, type, mworld: $tType).
% 0.21/0.50 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 0.21/0.50 thf(func_def_2, type, mactual: mworld).
% 0.21/0.50 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 0.21/0.50 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_12, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_13, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 0.21/0.50 thf(func_def_14, type, qmltpeq: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_15, type, member: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_16, type, subset: $i > $i > mworld > $o).
% 0.21/0.50 thf(func_def_17, type, difference: $i > $i > $i).
% 0.21/0.50 thf(func_def_32, type, sK0: mworld > mworld).
% 0.21/0.50 thf(func_def_39, type, ph5: !>[X0: $tType]:(X0)).
% 0.21/0.50 thf(f665,plain,(
% 0.21/0.50 $false),
% 0.21/0.50 inference(avatar_sat_refutation,[],[f271,f410,f436,f511,f597,f664])).
% 0.21/0.50 thf(f664,plain,(
% 0.21/0.50 ~spl1_2 | spl1_8),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f663])).
% 0.21/0.50 thf(f663,plain,(
% 0.21/0.50 $false | (~spl1_2 | spl1_8)),
% 0.21/0.50 inference(subsumption_resolution,[],[f662,f557])).
% 0.21/0.50 thf(f557,plain,(
% 0.21/0.50 ((member @ sK8 @ sK3 @ mactual) != $false) | spl1_8),
% 0.21/0.50 inference(avatar_component_clause,[],[f556])).
% 0.21/0.50 thf(f556,plain,(
% 0.21/0.50 spl1_8 <=> ((member @ sK8 @ sK3 @ mactual) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
% 0.21/0.50 thf(f662,plain,(
% 0.21/0.50 ((member @ sK8 @ sK3 @ mactual) = $false) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f661])).
% 0.21/0.50 thf(f661,plain,(
% 0.21/0.50 ($true = (~ (member @ sK8 @ sK3 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f660])).
% 0.21/0.50 thf(f660,plain,(
% 0.21/0.50 ($true = ($false = (member @ sK8 @ sK3 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(forward_demodulation,[],[f657,f537])).
% 0.21/0.50 thf(f537,plain,(
% 0.21/0.50 ((member @ sK8 @ sK2 @ mactual) = $false) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f536])).
% 0.21/0.50 thf(f536,plain,(
% 0.21/0.50 (((member @ sK8 @ (difference @ sK3 @ sK4) @ mactual) => (member @ sK8 @ sK2 @ mactual)) = $false) | ~spl1_2),
% 0.21/0.50 inference(beta_eta_normalization,[],[f535])).
% 0.21/0.50 thf(f535,plain,(
% 0.21/0.50 (((^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual))) @ sK8) = $false) | ~spl1_2),
% 0.21/0.50 inference(sigma_clausification,[],[f534])).
% 0.21/0.50 thf(f534,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual)))) = $false) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f533])).
% 0.21/0.50 thf(f533,plain,(
% 0.21/0.50 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual)))))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f524])).
% 0.21/0.50 thf(f524,plain,(
% 0.21/0.50 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ sK3 @ sK4) @ mactual) => (member @ Y0 @ sK2 @ mactual)))))) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f219,f261])).
% 0.21/0.50 thf(f261,plain,(
% 0.21/0.50 ((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false) | ~spl1_2),
% 0.21/0.50 inference(avatar_component_clause,[],[f259])).
% 0.21/0.50 thf(f259,plain,(
% 0.21/0.50 spl1_2 <=> ((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.21/0.50 thf(f219,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((subset @ X1 @ X2 @ mactual) = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ X1 @ mactual) => (member @ Y0 @ X2 @ mactual))))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f218])).
% 0.21/0.50 thf(f218,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual)))))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f217])).
% 0.21/0.50 thf(f217,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((subset @ X1 @ Y0 @ mactual) = (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ X1 @ mactual) => (member @ Y1 @ Y0 @ mactual))))))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f216])).
% 0.21/0.50 thf(f216,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual)))))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f215])).
% 0.21/0.50 thf(f215,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((subset @ Y0 @ Y1 @ mactual) = (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ Y0 @ mactual) => (member @ Y2 @ Y1 @ mactual))))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.50 thf(f116,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f102,f85,f89,f89,f98,f89,f88])).
% 0.21/0.50 thf(f88,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f54])).
% 0.21/0.50 thf(f54,plain,(
% 0.21/0.50 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f53])).
% 0.21/0.50 thf(f53,plain,(
% 0.21/0.50 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 0.21/0.50 inference(rectify,[],[f5])).
% 0.21/0.50 thf(f5,axiom,(
% 0.21/0.50 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mimplies_def)).
% 0.21/0.50 thf(f98,plain,(
% 0.21/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f37])).
% 0.21/0.50 thf(f37,plain,(
% 0.21/0.50 (mequiv = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) = (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f36])).
% 0.21/0.50 thf(f36,plain,(
% 0.21/0.50 (mequiv = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) <=> (X1 @ X2))))),
% 0.21/0.50 inference(rectify,[],[f6])).
% 0.21/0.50 thf(f6,axiom,(
% 0.21/0.50 (mequiv = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) <=> (X3 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mequiv_def)).
% 0.21/0.50 thf(f89,plain,(
% 0.21/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f68])).
% 0.21/0.50 thf(f68,plain,(
% 0.21/0.50 (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))))),
% 0.21/0.50 inference(fool_elimination,[],[f67])).
% 0.21/0.50 thf(f67,plain,(
% 0.21/0.50 ((^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : (X0 @ X2 @ X1))) = mforall_di)),
% 0.21/0.50 inference(rectify,[],[f10])).
% 0.21/0.50 thf(f10,axiom,(
% 0.21/0.50 ((^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : (X1 @ X5 @ X2))) = mforall_di)),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mforall_di_def)).
% 0.21/0.50 thf(f85,plain,(
% 0.21/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.50 inference(cnf_transformation,[],[f38])).
% 0.21/0.50 thf(f38,plain,(
% 0.21/0.50 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 0.21/0.50 inference(fool_elimination,[],[f1])).
% 0.21/0.50 thf(f1,axiom,(
% 0.21/0.50 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mlocal_def)).
% 0.21/0.50 thf(f102,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f33])).
% 0.21/0.50 thf(f33,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (subset @ Y0 @ Y1) @ (mforall_di @ (^[Y2 : $i]: (mimplies @ (member @ Y2 @ Y0) @ (member @ Y2 @ Y1)))))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f32])).
% 0.21/0.50 thf(f32,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (subset @ X0 @ X1) @ (mforall_di @ (^[X2 : $i] : (mimplies @ (member @ X2 @ X0) @ (member @ X2 @ X1))))))))))),
% 0.21/0.50 inference(rectify,[],[f23])).
% 0.21/0.50 thf(f23,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mequiv @ (subset @ X3 @ X8) @ (mforall_di @ (^[X9 : $i] : (mimplies @ (member @ X9 @ X3) @ (member @ X9 @ X8))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',subset_defn)).
% 0.21/0.50 thf(f657,plain,(
% 0.21/0.50 (((member @ sK8 @ sK2 @ mactual) = (member @ sK8 @ sK3 @ mactual)) = $true) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f656])).
% 0.21/0.50 thf(f656,plain,(
% 0.21/0.50 ($true = ((member @ sK8 @ sK2 @ mactual) = ((member @ sK8 @ sK3 @ mactual) & $true))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f648])).
% 0.21/0.50 thf(f648,plain,(
% 0.21/0.50 ($true = ((member @ sK8 @ sK2 @ mactual) = ((member @ sK8 @ sK3 @ mactual) & (~ $false)))) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f158,f571])).
% 0.21/0.50 thf(f571,plain,(
% 0.21/0.50 ((member @ sK8 @ sK4 @ mactual) = $false) | ~spl1_2),
% 0.21/0.50 inference(not_proxy_clausification,[],[f569])).
% 0.21/0.50 thf(f569,plain,(
% 0.21/0.50 ($true = (~ (member @ sK8 @ sK4 @ mactual))) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f568])).
% 0.21/0.50 thf(f568,plain,(
% 0.21/0.50 ($true = ((member @ sK8 @ sK3 @ mactual) & (~ (member @ sK8 @ sK4 @ mactual)))) | ~spl1_2),
% 0.21/0.50 inference(boolean_simplification,[],[f560])).
% 0.21/0.50 thf(f560,plain,(
% 0.21/0.50 ($true = ($true = ((member @ sK8 @ sK3 @ mactual) & (~ (member @ sK8 @ sK4 @ mactual))))) | ~spl1_2),
% 0.21/0.50 inference(superposition,[],[f138,f538])).
% 0.21/0.50 thf(f538,plain,(
% 0.21/0.50 ($true = (member @ sK8 @ (difference @ sK3 @ sK4) @ mactual)) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f536])).
% 0.21/0.50 thf(f138,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((member @ X3 @ (difference @ X1 @ X2) @ mactual) = ((member @ X3 @ X1 @ mactual) & (~ (member @ X3 @ X2 @ mactual)))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f137])).
% 0.21/0.50 thf(f137,plain,(
% 0.21/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((member @ Y0 @ (difference @ X1 @ X2) @ mactual) = ((member @ Y0 @ X1 @ mactual) & (~ (member @ Y0 @ X2 @ mactual))))) @ X3))) )),
% 0.21/0.50 inference(pi_clausification,[],[f136])).
% 0.21/0.50 thf(f136,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ (difference @ X1 @ X2) @ mactual) = ((member @ Y0 @ X1 @ mactual) & (~ (member @ Y0 @ X2 @ mactual)))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.50 thf(f135,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ (difference @ X1 @ Y0) @ mactual) = ((member @ Y1 @ X1 @ mactual) & (~ (member @ Y1 @ Y0 @ mactual))))))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f134])).
% 0.21/0.50 thf(f134,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ (difference @ X1 @ Y0) @ mactual) = ((member @ Y1 @ X1 @ mactual) & (~ (member @ Y1 @ Y0 @ mactual)))))))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f133])).
% 0.21/0.50 thf(f133,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ (difference @ Y0 @ Y1) @ mactual) = ((member @ Y2 @ Y0 @ mactual) & (~ (member @ Y2 @ Y1 @ mactual))))))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f132])).
% 0.21/0.50 thf(f132,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ (difference @ Y0 @ Y1) @ mactual) = ((member @ Y2 @ Y0 @ mactual) & (~ (member @ Y2 @ Y1 @ mactual)))))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f105])).
% 0.21/0.50 thf(f105,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) = (Y4 @ Y5))))))) @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ (member @ Y2 @ Y0) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: (~ (Y3 @ Y4))))) @ (member @ Y2 @ Y1))))))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f81,f85,f89,f89,f89,f98,f80,f97])).
% 0.21/0.50 thf(f97,plain,(
% 0.21/0.50 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f64])).
% 0.21/0.50 thf(f64,plain,(
% 0.21/0.50 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 0.21/0.50 inference(fool_elimination,[],[f63])).
% 0.21/0.50 thf(f63,plain,(
% 0.21/0.50 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 0.21/0.50 inference(rectify,[],[f2])).
% 0.21/0.50 thf(f2,axiom,(
% 0.21/0.50 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mnot_def)).
% 0.21/0.50 thf(f80,plain,(
% 0.21/0.50 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f42])).
% 0.21/0.50 thf(f42,plain,(
% 0.21/0.50 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f41])).
% 0.21/0.50 thf(f41,plain,(
% 0.21/0.50 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 0.21/0.50 inference(rectify,[],[f3])).
% 0.21/0.50 thf(f3,axiom,(
% 0.21/0.50 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',mand_def)).
% 0.21/0.50 thf(f81,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ (mand @ (member @ Y2 @ Y0) @ (mnot @ (member @ Y2 @ Y1))))))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f52])).
% 0.21/0.50 thf(f52,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mequiv @ (member @ Y2 @ (difference @ Y0 @ Y1)) @ (mand @ (member @ Y2 @ Y0) @ (mnot @ (member @ Y2 @ Y1))))))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f51])).
% 0.21/0.50 thf(f51,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mequiv @ (member @ X2 @ (difference @ X0 @ X1)) @ (mand @ (member @ X2 @ X0) @ (mnot @ (member @ X2 @ X1)))))))))))),
% 0.21/0.50 inference(rectify,[],[f21])).
% 0.21/0.50 thf(f21,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mequiv @ (member @ X9 @ (difference @ X3 @ X8)) @ (mand @ (member @ X9 @ X3) @ (mnot @ (member @ X9 @ X8)))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',difference_defn)).
% 0.21/0.50 thf(f158,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((member @ X1 @ sK2 @ mactual) = ((member @ X1 @ sK3 @ mactual) & (~ (member @ X1 @ sK4 @ mactual)))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f157])).
% 0.21/0.50 thf(f157,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((member @ Y0 @ sK3 @ mactual) & (~ (member @ Y0 @ sK4 @ mactual))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f156])).
% 0.21/0.50 thf(f156,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((member @ Y0 @ sK3 @ mactual) & (~ (member @ Y0 @ sK4 @ mactual)))))))),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.50 thf(f154,plain,(
% 0.21/0.50 (((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) = ((member @ Y0 @ sK3 @ mactual) & (~ (member @ Y0 @ sK4 @ mactual)))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ sK4) @ mactual)) = $false)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f153])).
% 0.21/0.50 thf(f153,plain,(
% 0.21/0.50 (((^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ sK2 @ mactual) = ((member @ Y1 @ sK3 @ mactual) & (~ (member @ Y1 @ Y0 @ mactual)))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ Y0) @ mactual))) @ sK4) = $false)),
% 0.21/0.50 inference(sigma_clausification,[],[f152])).
% 0.21/0.50 thf(f152,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: ((!! @ $i @ (^[Y1 : $i]: ((member @ Y1 @ sK2 @ mactual) = ((member @ Y1 @ sK3 @ mactual) & (~ (member @ Y1 @ Y0 @ mactual)))))) => (qmltpeq @ sK2 @ (difference @ sK3 @ Y0) @ mactual)))) = $false)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f151])).
% 0.21/0.50 thf(f151,plain,(
% 0.21/0.50 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ sK2 @ mactual) = ((member @ Y2 @ Y0 @ mactual) & (~ (member @ Y2 @ Y1 @ mactual)))))) => (qmltpeq @ sK2 @ (difference @ Y0 @ Y1) @ mactual))))) @ sK3) = $false)),
% 0.21/0.50 inference(sigma_clausification,[],[f150])).
% 0.21/0.50 thf(f150,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((!! @ $i @ (^[Y2 : $i]: ((member @ Y2 @ sK2 @ mactual) = ((member @ Y2 @ Y0 @ mactual) & (~ (member @ Y2 @ Y1 @ mactual)))))) => (qmltpeq @ sK2 @ (difference @ Y0 @ Y1) @ mactual)))))) = $false)),
% 0.21/0.50 inference(beta_eta_normalization,[],[f149])).
% 0.21/0.50 thf(f149,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((member @ Y3 @ Y0 @ mactual) = ((member @ Y3 @ Y1 @ mactual) & (~ (member @ Y3 @ Y2 @ mactual)))))) => (qmltpeq @ Y0 @ (difference @ Y1 @ Y2) @ mactual))))))) @ sK2))),
% 0.21/0.50 inference(sigma_clausification,[],[f148])).
% 0.21/0.50 thf(f148,plain,(
% 0.21/0.50 ($true != (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((!! @ $i @ (^[Y3 : $i]: ((member @ Y3 @ Y0 @ mactual) = ((member @ Y3 @ Y1 @ mactual) & (~ (member @ Y3 @ Y2 @ mactual)))))) => (qmltpeq @ Y0 @ (difference @ Y1 @ Y2) @ mactual)))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f108])).
% 0.21/0.50 thf(f108,plain,(
% 0.21/0.50 ($true != ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (!! @ $i @ (^[Y5 : $i]: (Y3 @ Y5 @ Y4)))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) = (Y5 @ Y6))))))) @ (member @ Y3 @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (member @ Y3 @ Y1) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (~ (Y4 @ Y5))))) @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f86,f85,f89,f89,f89,f88,f89,f98,f80,f97])).
% 0.21/0.50 thf(f86,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) != $true)),
% 0.21/0.50 inference(cnf_transformation,[],[f77])).
% 0.21/0.50 thf(f77,plain,(
% 0.21/0.50 ((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) != $true)),
% 0.21/0.50 inference(flattening,[],[f56])).
% 0.21/0.50 thf(f56,plain,(
% 0.21/0.50 ~((mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mforall_di @ (^[Y3 : $i]: (mequiv @ (member @ Y3 @ Y0) @ (mand @ (member @ Y3 @ Y1) @ (mnot @ (member @ Y3 @ Y2)))))) @ (qmltpeq @ Y0 @ (difference @ Y1 @ Y2)))))))))) = $true)),
% 0.21/0.50 inference(fool_elimination,[],[f55])).
% 0.21/0.50 thf(f55,plain,(
% 0.21/0.50 ~(mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mforall_di @ (^[X3 : $i] : (mequiv @ (member @ X3 @ X0) @ (mand @ (member @ X3 @ X1) @ (mnot @ (member @ X3 @ X2)))))) @ (qmltpeq @ X0 @ (difference @ X1 @ X2))))))))))),
% 0.21/0.50 inference(rectify,[],[f26])).
% 0.21/0.50 thf(f26,negated_conjecture,(
% 0.21/0.50 ~(mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mimplies @ (mforall_di @ (^[X10 : $i] : (mequiv @ (member @ X10 @ X3) @ (mand @ (member @ X10 @ X8) @ (mnot @ (member @ X10 @ X9)))))) @ (qmltpeq @ X3 @ (difference @ X8 @ X9))))))))))),
% 0.21/0.50 inference(negated_conjecture,[],[f25])).
% 0.21/0.50 thf(f25,conjecture,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mforall_di @ (^[X9 : $i] : (mimplies @ (mforall_di @ (^[X10 : $i] : (mequiv @ (member @ X10 @ X3) @ (mand @ (member @ X10 @ X8) @ (mnot @ (member @ X10 @ X9)))))) @ (qmltpeq @ X3 @ (difference @ X8 @ X9))))))))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',prove_th20)).
% 0.21/0.50 thf(f597,plain,(
% 0.21/0.50 ~spl1_2 | ~spl1_8),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f596])).
% 0.21/0.50 thf(f596,plain,(
% 0.21/0.50 $false | (~spl1_2 | ~spl1_8)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f595])).
% 0.21/0.50 thf(f595,plain,(
% 0.21/0.50 ($true = $false) | (~spl1_2 | ~spl1_8)),
% 0.21/0.50 inference(forward_demodulation,[],[f570,f558])).
% 0.21/0.50 thf(f558,plain,(
% 0.21/0.50 ((member @ sK8 @ sK3 @ mactual) = $false) | ~spl1_8),
% 0.21/0.50 inference(avatar_component_clause,[],[f556])).
% 0.21/0.50 thf(f570,plain,(
% 0.21/0.50 ((member @ sK8 @ sK3 @ mactual) = $true) | ~spl1_2),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f568])).
% 0.21/0.50 thf(f511,plain,(
% 0.21/0.50 ~spl1_1 | ~spl1_5),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f510])).
% 0.21/0.50 thf(f510,plain,(
% 0.21/0.50 $false | (~spl1_1 | ~spl1_5)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f498])).
% 0.21/0.50 thf(f498,plain,(
% 0.21/0.50 ($true = $false) | (~spl1_1 | ~spl1_5)),
% 0.21/0.50 inference(backward_demodulation,[],[f405,f377])).
% 0.21/0.50 thf(f377,plain,(
% 0.21/0.50 ((member @ sK7 @ sK4 @ mactual) = $false) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f375])).
% 0.21/0.50 thf(f375,plain,(
% 0.21/0.50 ($true = (~ (member @ sK7 @ sK4 @ mactual))) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f374])).
% 0.21/0.50 thf(f374,plain,(
% 0.21/0.50 ($true = ((member @ sK7 @ sK3 @ mactual) & (~ (member @ sK7 @ sK4 @ mactual)))) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f366])).
% 0.21/0.50 thf(f366,plain,(
% 0.21/0.50 ($true = ($true = ((member @ sK7 @ sK3 @ mactual) & (~ (member @ sK7 @ sK4 @ mactual))))) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f158,f359])).
% 0.21/0.50 thf(f359,plain,(
% 0.21/0.50 ($true = (member @ sK7 @ sK2 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f357])).
% 0.21/0.50 thf(f357,plain,(
% 0.21/0.50 (((member @ sK7 @ sK2 @ mactual) => (member @ sK7 @ (difference @ sK3 @ sK4) @ mactual)) = $false) | ~spl1_1),
% 0.21/0.50 inference(beta_eta_normalization,[],[f356])).
% 0.21/0.50 thf(f356,plain,(
% 0.21/0.50 ($false = ((^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual))) @ sK7)) | ~spl1_1),
% 0.21/0.50 inference(sigma_clausification,[],[f355])).
% 0.21/0.50 thf(f355,plain,(
% 0.21/0.50 ((!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual)))) = $false) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f354])).
% 0.21/0.50 thf(f354,plain,(
% 0.21/0.50 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual)))))) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f351])).
% 0.21/0.50 thf(f351,plain,(
% 0.21/0.50 ($true = ($false = (!! @ $i @ (^[Y0 : $i]: ((member @ Y0 @ sK2 @ mactual) => (member @ Y0 @ (difference @ sK3 @ sK4) @ mactual)))))) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f219,f257])).
% 0.21/0.50 thf(f257,plain,(
% 0.21/0.50 ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false) | ~spl1_1),
% 0.21/0.50 inference(avatar_component_clause,[],[f255])).
% 0.21/0.50 thf(f255,plain,(
% 0.21/0.50 spl1_1 <=> ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.21/0.50 thf(f405,plain,(
% 0.21/0.50 ($true = (member @ sK7 @ sK4 @ mactual)) | ~spl1_5),
% 0.21/0.50 inference(avatar_component_clause,[],[f403])).
% 0.21/0.50 thf(f403,plain,(
% 0.21/0.50 spl1_5 <=> ($true = (member @ sK7 @ sK4 @ mactual))),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
% 0.21/0.50 thf(f436,plain,(
% 0.21/0.50 ~spl1_1 | ~spl1_6),
% 0.21/0.50 inference(avatar_contradiction_clause,[],[f435])).
% 0.21/0.50 thf(f435,plain,(
% 0.21/0.50 $false | (~spl1_1 | ~spl1_6)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f434])).
% 0.21/0.50 thf(f434,plain,(
% 0.21/0.50 ($true = $false) | (~spl1_1 | ~spl1_6)),
% 0.21/0.50 inference(forward_demodulation,[],[f376,f409])).
% 0.21/0.50 thf(f409,plain,(
% 0.21/0.50 ((member @ sK7 @ sK3 @ mactual) = $false) | ~spl1_6),
% 0.21/0.50 inference(avatar_component_clause,[],[f407])).
% 0.21/0.50 thf(f407,plain,(
% 0.21/0.50 spl1_6 <=> ((member @ sK7 @ sK3 @ mactual) = $false)),
% 0.21/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
% 0.21/0.50 thf(f376,plain,(
% 0.21/0.50 ($true = (member @ sK7 @ sK3 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f374])).
% 0.21/0.50 thf(f410,plain,(
% 0.21/0.50 spl1_5 | spl1_6 | ~spl1_1),
% 0.21/0.50 inference(avatar_split_clause,[],[f399,f255,f407,f403])).
% 0.21/0.50 thf(f399,plain,(
% 0.21/0.50 ((member @ sK7 @ sK3 @ mactual) = $false) | ($true = (member @ sK7 @ sK4 @ mactual)) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f398])).
% 0.21/0.50 thf(f398,plain,(
% 0.21/0.50 ((member @ sK7 @ sK3 @ mactual) = $false) | ($false = (~ (member @ sK7 @ sK4 @ mactual))) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f397])).
% 0.21/0.50 thf(f397,plain,(
% 0.21/0.50 (((member @ sK7 @ sK3 @ mactual) & (~ (member @ sK7 @ sK4 @ mactual))) = $false) | ~spl1_1),
% 0.21/0.50 inference(not_proxy_clausification,[],[f396])).
% 0.21/0.50 thf(f396,plain,(
% 0.21/0.50 ((~ ((member @ sK7 @ sK3 @ mactual) & (~ (member @ sK7 @ sK4 @ mactual)))) = $true) | ~spl1_1),
% 0.21/0.50 inference(boolean_simplification,[],[f390])).
% 0.21/0.50 thf(f390,plain,(
% 0.21/0.50 ($true = ($false = ((member @ sK7 @ sK3 @ mactual) & (~ (member @ sK7 @ sK4 @ mactual))))) | ~spl1_1),
% 0.21/0.50 inference(superposition,[],[f138,f358])).
% 0.21/0.50 thf(f358,plain,(
% 0.21/0.50 ((member @ sK7 @ (difference @ sK3 @ sK4) @ mactual) = $false) | ~spl1_1),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f357])).
% 0.21/0.50 thf(f271,plain,(
% 0.21/0.50 spl1_2 | spl1_1),
% 0.21/0.50 inference(avatar_split_clause,[],[f270,f255,f259])).
% 0.21/0.50 thf(f270,plain,(
% 0.21/0.50 ((subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false) | ((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false)),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f269])).
% 0.21/0.50 thf(f269,plain,(
% 0.21/0.50 (((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) & (subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual)) = $false)),
% 0.21/0.50 inference(not_proxy_clausification,[],[f268])).
% 0.21/0.50 thf(f268,plain,(
% 0.21/0.50 ($true = (~ ((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) & (subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual))))),
% 0.21/0.50 inference(boolean_simplification,[],[f264])).
% 0.21/0.50 thf(f264,plain,(
% 0.21/0.50 ($true = ($false = ((subset @ (difference @ sK3 @ sK4) @ sK2 @ mactual) & (subset @ sK2 @ (difference @ sK3 @ sK4) @ mactual))))),
% 0.21/0.50 inference(superposition,[],[f123,f231])).
% 0.21/0.50 thf(f231,plain,(
% 0.21/0.50 ((qmltpeq @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false)),
% 0.21/0.50 inference(trivial_inequality_removal,[],[f230])).
% 0.21/0.50 thf(f230,plain,(
% 0.21/0.50 ($true = $false) | ((qmltpeq @ (difference @ sK3 @ sK4) @ sK2 @ mactual) = $false)),
% 0.21/0.50 inference(superposition,[],[f205,f155])).
% 0.21/0.50 thf(f155,plain,(
% 0.21/0.50 ((qmltpeq @ sK2 @ (difference @ sK3 @ sK4) @ mactual) = $false)),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f154])).
% 0.21/0.50 thf(f205,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ X1 @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X1 @ mactual))) )),
% 0.21/0.50 inference(binary_proxy_clausification,[],[f204])).
% 0.21/0.50 thf(f204,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((qmltpeq @ X1 @ X2 @ mactual) => (qmltpeq @ X2 @ X1 @ mactual)))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f203])).
% 0.21/0.50 thf(f203,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) => (qmltpeq @ Y0 @ X1 @ mactual))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f202])).
% 0.21/0.50 thf(f202,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) => (qmltpeq @ Y0 @ X1 @ mactual)))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f201])).
% 0.21/0.50 thf(f201,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) => (qmltpeq @ Y1 @ Y0 @ mactual))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f200])).
% 0.21/0.50 thf(f200,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) => (qmltpeq @ Y1 @ Y0 @ mactual)))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f112])).
% 0.21/0.50 thf(f112,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) => (Y3 @ Y4))))))) @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f94,f85,f89,f89,f88])).
% 0.21/0.50 thf(f94,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mimplies @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f35])).
% 0.21/0.50 thf(f35,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mimplies @ (qmltpeq @ Y0 @ Y1) @ (qmltpeq @ Y1 @ Y0))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f34])).
% 0.21/0.50 thf(f34,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mimplies @ (qmltpeq @ X0 @ X1) @ (qmltpeq @ X1 @ X0)))))))),
% 0.21/0.50 inference(rectify,[],[f13])).
% 0.21/0.50 thf(f13,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X5 : $i] : (mforall_di @ (^[X6 : $i] : (mimplies @ (qmltpeq @ X5 @ X6) @ (qmltpeq @ X6 @ X5)))))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',symmetry)).
% 0.21/0.50 thf(f123,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((qmltpeq @ X1 @ X2 @ mactual) = ((subset @ X1 @ X2 @ mactual) & (subset @ X2 @ X1 @ mactual))))) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f122])).
% 0.21/0.50 thf(f122,plain,(
% 0.21/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) = ((subset @ X1 @ Y0 @ mactual) & (subset @ Y0 @ X1 @ mactual)))) @ X2))) )),
% 0.21/0.50 inference(pi_clausification,[],[f121])).
% 0.21/0.50 thf(f121,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((qmltpeq @ X1 @ Y0 @ mactual) = ((subset @ X1 @ Y0 @ mactual) & (subset @ Y0 @ X1 @ mactual))))) = $true)) )),
% 0.21/0.50 inference(beta_eta_normalization,[],[f120])).
% 0.21/0.50 thf(f120,plain,(
% 0.21/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) = ((subset @ Y0 @ Y1 @ mactual) & (subset @ Y1 @ Y0 @ mactual)))))) @ X1))) )),
% 0.21/0.50 inference(pi_clausification,[],[f119])).
% 0.21/0.50 thf(f119,plain,(
% 0.21/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((qmltpeq @ Y0 @ Y1 @ mactual) = ((subset @ Y0 @ Y1 @ mactual) & (subset @ Y1 @ Y0 @ mactual))))))))),
% 0.21/0.50 inference(beta_eta_normalization,[],[f109])).
% 0.21/0.50 thf(f109,plain,(
% 0.21/0.50 ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : $i]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) = (Y3 @ Y4))))))) @ (qmltpeq @ Y0 @ Y1) @ ((^[Y2 : mworld > $o]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld]: ((Y2 @ Y4) & (Y3 @ Y4))))))) @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.21/0.50 inference(definition_unfolding,[],[f87,f85,f89,f89,f98,f80])).
% 0.21/0.50 thf(f87,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.21/0.50 inference(cnf_transformation,[],[f70])).
% 0.21/0.50 thf(f70,plain,(
% 0.21/0.50 ($true = (mlocal @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mequiv @ (qmltpeq @ Y0 @ Y1) @ (mand @ (subset @ Y0 @ Y1) @ (subset @ Y1 @ Y0)))))))))),
% 0.21/0.50 inference(fool_elimination,[],[f69])).
% 0.21/0.50 thf(f69,plain,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mequiv @ (qmltpeq @ X0 @ X1) @ (mand @ (subset @ X0 @ X1) @ (subset @ X1 @ X0))))))))),
% 0.21/0.50 inference(rectify,[],[f22])).
% 0.21/0.50 thf(f22,axiom,(
% 0.21/0.50 (mlocal @ (mforall_di @ (^[X3 : $i] : (mforall_di @ (^[X8 : $i] : (mequiv @ (qmltpeq @ X3 @ X8) @ (mand @ (subset @ X3 @ X8) @ (subset @ X8 @ X3))))))))),
% 0.21/0.50 file('/export/starexec/sandbox2/tmp/tmp.gPhOl7V4Ff/Vampire---4.8_13880',equal_defn)).
% 0.21/0.50 % SZS output end Proof for Vampire---4
% 0.21/0.50 % (14028)------------------------------
% 0.21/0.50 % (14028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (14028)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (14028)Memory used [KB]: 6268
% 0.21/0.50 % (14028)Time elapsed: 0.035 s
% 0.21/0.50 % (14028)Instructions burned: 76 (million)
% 0.21/0.50 % (14028)------------------------------
% 0.21/0.50 % (14028)------------------------------
% 0.21/0.50 % (13993)Success in time 0.142 s
% 0.21/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------