TSTP Solution File: SEU650^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU650^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:50:19 EDT 2024
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU650^1 : TPTP v8.2.0. Released v3.7.0.
% 0.12/0.14 % 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
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 17:01:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.39 % (13245)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.15/0.39 % (13249)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (13246)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.39 % (13252)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.39 % (13250)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.15/0.39 % (13247)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.15/0.39 % (13251)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.15/0.39 % (13248)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (13248)Instruction limit reached!
% 0.15/0.39 % (13248)------------------------------
% 0.15/0.39 % (13248)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13248)Termination reason: Unknown
% 0.15/0.39 % (13248)Termination phase: shuffling
% 0.15/0.39 % (13249)Instruction limit reached!
% 0.15/0.39 % (13249)------------------------------
% 0.15/0.39 % (13249)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13249)Termination reason: Unknown
% 0.15/0.39 % (13249)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (13249)Memory used [KB]: 1279
% 0.15/0.39 % (13249)Time elapsed: 0.003 s
% 0.15/0.39 % (13249)Instructions burned: 2 (million)
% 0.15/0.39 % (13249)------------------------------
% 0.15/0.39 % (13249)------------------------------
% 0.15/0.39
% 0.15/0.39 % (13248)Memory used [KB]: 1279
% 0.15/0.39 % (13248)Time elapsed: 0.003 s
% 0.15/0.39 % (13248)Instructions burned: 2 (million)
% 0.15/0.39 % (13248)------------------------------
% 0.15/0.39 % (13248)------------------------------
% 0.15/0.39 % (13252)Instruction limit reached!
% 0.15/0.39 % (13252)------------------------------
% 0.15/0.39 % (13252)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13252)Termination reason: Unknown
% 0.15/0.39 % (13252)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (13252)Memory used [KB]: 1279
% 0.15/0.39 % (13252)Time elapsed: 0.004 s
% 0.15/0.39 % (13252)Instructions burned: 3 (million)
% 0.15/0.39 % (13252)------------------------------
% 0.15/0.39 % (13252)------------------------------
% 0.15/0.39 % (13246)Instruction limit reached!
% 0.15/0.39 % (13246)------------------------------
% 0.15/0.39 % (13246)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.39 % (13246)Termination reason: Unknown
% 0.15/0.39 % (13246)Termination phase: shuffling
% 0.15/0.39
% 0.15/0.39 % (13246)Memory used [KB]: 1279
% 0.15/0.39 % (13246)Time elapsed: 0.004 s
% 0.15/0.39 % (13246)Instructions burned: 4 (million)
% 0.15/0.39 % (13246)------------------------------
% 0.15/0.39 % (13246)------------------------------
% 0.15/0.40 % (13251)Instruction limit reached!
% 0.15/0.40 % (13251)------------------------------
% 0.15/0.40 % (13251)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.40 % (13251)Termination reason: Unknown
% 0.15/0.40 % (13251)Termination phase: Property scanning
% 0.15/0.40
% 0.15/0.40 % (13251)Memory used [KB]: 1535
% 0.15/0.40 % (13251)Time elapsed: 0.011 s
% 0.15/0.40 % (13251)Instructions burned: 18 (million)
% 0.15/0.40 % (13251)------------------------------
% 0.15/0.40 % (13251)------------------------------
% 0.15/0.41 % (13247)Instruction limit reached!
% 0.15/0.41 % (13247)------------------------------
% 0.15/0.41 % (13247)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (13247)Termination reason: Unknown
% 0.15/0.41 % (13247)Termination phase: Property scanning
% 0.15/0.41
% 0.15/0.41 % (13247)Memory used [KB]: 1791
% 0.15/0.41 % (13247)Time elapsed: 0.016 s
% 0.15/0.41 % (13247)Instructions burned: 29 (million)
% 0.15/0.41 % (13247)------------------------------
% 0.15/0.41 % (13247)------------------------------
% 0.15/0.41 % (13253)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.41 % (13254)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.15/0.41 % (13255)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.41 % (13256)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.15/0.41 % (13255)Instruction limit reached!
% 0.15/0.41 % (13255)------------------------------
% 0.15/0.41 % (13255)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.41 % (13255)Termination reason: Unknown
% 0.15/0.41 % (13255)Termination phase: shuffling
% 0.15/0.41
% 0.15/0.41 % (13255)Memory used [KB]: 1279
% 0.15/0.41 % (13255)Time elapsed: 0.004 s
% 0.15/0.41 % (13255)Instructions burned: 4 (million)
% 0.15/0.41 % (13255)------------------------------
% 0.15/0.41 % (13255)------------------------------
% 0.15/0.42 % (13254)Instruction limit reached!
% 0.15/0.42 % (13254)------------------------------
% 0.15/0.42 % (13254)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.15/0.42 % (13254)Termination reason: Unknown
% 0.15/0.42 % (13254)Termination phase: Property scanning
% 0.15/0.42
% 0.15/0.42 % (13254)Memory used [KB]: 1535
% 0.15/0.42 % (13254)Time elapsed: 0.010 s
% 0.15/0.42 % (13254)Instructions burned: 15 (million)
% 0.15/0.42 % (13254)------------------------------
% 0.15/0.42 % (13254)------------------------------
% 0.15/0.42 % (13257)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.42 % (13257)Instruction limit reached!
% 0.22/0.42 % (13257)------------------------------
% 0.22/0.42 % (13257)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (13257)Termination reason: Unknown
% 0.22/0.42 % (13257)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (13257)Memory used [KB]: 1407
% 0.22/0.42 % (13257)Time elapsed: 0.006 s
% 0.22/0.42 % (13257)Instructions burned: 8 (million)
% 0.22/0.42 % (13257)------------------------------
% 0.22/0.42 % (13257)------------------------------
% 0.22/0.42 % (13258)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.43 % (13259)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (13253)Instruction limit reached!
% 0.22/0.43 % (13253)------------------------------
% 0.22/0.43 % (13253)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (13253)Termination reason: Unknown
% 0.22/0.43 % (13253)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (13253)Memory used [KB]: 1791
% 0.22/0.43 % (13253)Time elapsed: 0.019 s
% 0.22/0.43 % (13253)Instructions burned: 37 (million)
% 0.22/0.43 % (13253)------------------------------
% 0.22/0.43 % (13253)------------------------------
% 0.22/0.43 % (13259)Instruction limit reached!
% 0.22/0.43 % (13259)------------------------------
% 0.22/0.43 % (13259)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (13259)Termination reason: Unknown
% 0.22/0.43 % (13259)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (13259)Memory used [KB]: 1279
% 0.22/0.43 % (13259)Time elapsed: 0.004 s
% 0.22/0.43 % (13259)Instructions burned: 4 (million)
% 0.22/0.43 % (13259)------------------------------
% 0.22/0.43 % (13259)------------------------------
% 0.22/0.43 % (13258)Instruction limit reached!
% 0.22/0.43 % (13258)------------------------------
% 0.22/0.43 % (13258)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (13258)Termination reason: Unknown
% 0.22/0.43 % (13258)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (13258)Memory used [KB]: 1663
% 0.22/0.43 % (13258)Time elapsed: 0.010 s
% 0.22/0.43 % (13258)Instructions burned: 16 (million)
% 0.22/0.43 % (13258)------------------------------
% 0.22/0.43 % (13258)------------------------------
% 0.22/0.43 % (13260)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (13260)Instruction limit reached!
% 0.22/0.43 % (13260)------------------------------
% 0.22/0.43 % (13260)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (13260)Termination reason: Unknown
% 0.22/0.43 % (13260)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (13260)Memory used [KB]: 1279
% 0.22/0.43 % (13260)Time elapsed: 0.004 s
% 0.22/0.43 % (13260)Instructions burned: 4 (million)
% 0.22/0.43 % (13260)------------------------------
% 0.22/0.43 % (13260)------------------------------
% 0.22/0.44 % (13261)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.44 % (13261)Instruction limit reached!
% 0.22/0.44 % (13261)------------------------------
% 0.22/0.44 % (13261)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (13261)Termination reason: Unknown
% 0.22/0.44 % (13261)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (13261)Memory used [KB]: 1407
% 0.22/0.44 % (13261)Time elapsed: 0.006 s
% 0.22/0.44 % (13261)Instructions burned: 8 (million)
% 0.22/0.44 % (13261)------------------------------
% 0.22/0.44 % (13261)------------------------------
% 0.22/0.44 % (13262)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.44 % (13263)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.44 % (13262)Instruction limit reached!
% 0.22/0.44 % (13262)------------------------------
% 0.22/0.44 % (13262)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (13262)Termination reason: Unknown
% 0.22/0.44 % (13262)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (13262)Memory used [KB]: 1279
% 0.22/0.44 % (13262)Time elapsed: 0.004 s
% 0.22/0.44 % (13262)Instructions burned: 4 (million)
% 0.22/0.44 % (13262)------------------------------
% 0.22/0.44 % (13262)------------------------------
% 0.22/0.44 % (13263)Instruction limit reached!
% 0.22/0.44 % (13263)------------------------------
% 0.22/0.44 % (13263)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (13263)Termination reason: Unknown
% 0.22/0.44 % (13263)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (13263)Memory used [KB]: 1279
% 0.22/0.44 % (13263)Time elapsed: 0.004 s
% 0.22/0.44 % (13264)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.44 % (13263)Instructions burned: 4 (million)
% 0.22/0.44 % (13263)------------------------------
% 0.22/0.44 % (13263)------------------------------
% 0.22/0.45 % (13265)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.45 % (13264)Instruction limit reached!
% 0.22/0.45 % (13264)------------------------------
% 0.22/0.45 % (13264)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (13264)Termination reason: Unknown
% 0.22/0.45 % (13264)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (13264)Memory used [KB]: 1663
% 0.22/0.45 % (13264)Time elapsed: 0.011 s
% 0.22/0.45 % (13264)Instructions burned: 18 (million)
% 0.22/0.45 % (13264)------------------------------
% 0.22/0.45 % (13264)------------------------------
% 0.22/0.45 % (13266)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.46 % (13266)Instruction limit reached!
% 0.22/0.46 % (13266)------------------------------
% 0.22/0.46 % (13266)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (13266)Termination reason: Unknown
% 0.22/0.46 % (13266)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (13266)Memory used [KB]: 1407
% 0.22/0.46 % (13266)Time elapsed: 0.005 s
% 0.22/0.46 % (13266)Instructions burned: 6 (million)
% 0.22/0.46 % (13266)------------------------------
% 0.22/0.46 % (13266)------------------------------
% 0.22/0.46 % (13267)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.46 % (13268)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.22/0.47 % (13269)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (13268)Instruction limit reached!
% 0.22/0.47 % (13268)------------------------------
% 0.22/0.47 % (13268)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (13268)Termination reason: Unknown
% 0.22/0.47 % (13268)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (13268)Memory used [KB]: 1791
% 0.22/0.47 % (13268)Time elapsed: 0.013 s
% 0.22/0.47 % (13268)Instructions burned: 22 (million)
% 0.22/0.47 % (13268)------------------------------
% 0.22/0.47 % (13268)------------------------------
% 0.22/0.47 % (13269)Instruction limit reached!
% 0.22/0.47 % (13269)------------------------------
% 0.22/0.47 % (13269)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (13269)Termination reason: Unknown
% 0.22/0.47 % (13269)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (13269)Memory used [KB]: 1407
% 0.22/0.47 % (13269)Time elapsed: 0.005 s
% 0.22/0.47 % (13269)Instructions burned: 6 (million)
% 0.22/0.47 % (13269)------------------------------
% 0.22/0.47 % (13269)------------------------------
% 0.22/0.47 % (13270)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47 % (13270)Instruction limit reached!
% 0.22/0.47 % (13270)------------------------------
% 0.22/0.47 % (13270)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (13270)Termination reason: Unknown
% 0.22/0.47 % (13270)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (13270)Memory used [KB]: 1407
% 0.22/0.47 % (13270)Time elapsed: 0.004 s
% 0.22/0.47 % (13270)Instructions burned: 6 (million)
% 0.22/0.47 % (13270)------------------------------
% 0.22/0.47 % (13270)------------------------------
% 0.22/0.48 % (13245)Instruction limit reached!
% 0.22/0.48 % (13245)------------------------------
% 0.22/0.48 % (13245)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (13245)Termination reason: Unknown
% 0.22/0.48 % (13245)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (13245)Memory used [KB]: 7419
% 0.22/0.48 % (13245)Time elapsed: 0.091 s
% 0.22/0.48 % (13245)Instructions burned: 183 (million)
% 0.22/0.48 % (13245)------------------------------
% 0.22/0.48 % (13245)------------------------------
% 0.22/0.48 % (13271)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.22/0.49 % (13272)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.22/0.49 % (13273)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.22/0.50 % (13274)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.22/0.50 % (13273)Instruction limit reached!
% 0.22/0.50 % (13273)------------------------------
% 0.22/0.50 % (13273)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (13273)Termination reason: Unknown
% 0.22/0.50 % (13273)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (13273)Memory used [KB]: 1663
% 0.22/0.50 % (13273)Time elapsed: 0.012 s
% 0.22/0.50 % (13273)Instructions burned: 20 (million)
% 0.22/0.50 % (13273)------------------------------
% 0.22/0.50 % (13273)------------------------------
% 0.22/0.51 % (13275)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.52 % (13275)Instruction limit reached!
% 0.22/0.52 % (13275)------------------------------
% 0.22/0.52 % (13275)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (13275)Termination reason: Unknown
% 0.22/0.52 % (13275)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (13275)Memory used [KB]: 1663
% 0.22/0.52 % (13275)Time elapsed: 0.011 s
% 0.22/0.52 % (13275)Instructions burned: 18 (million)
% 0.22/0.52 % (13275)------------------------------
% 0.22/0.52 % (13275)------------------------------
% 0.22/0.54 % (13265)First to succeed.
% 0.22/0.54 % (13276)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.54 % (13276)Instruction limit reached!
% 0.22/0.54 % (13276)------------------------------
% 0.22/0.54 % (13276)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (13276)Termination reason: Unknown
% 0.22/0.54 % (13276)Termination phase: shuffling
% 0.22/0.54
% 0.22/0.54 % (13276)Memory used [KB]: 1279
% 0.22/0.54 % (13276)Time elapsed: 0.004 s
% 0.22/0.54 % (13276)Instructions burned: 4 (million)
% 0.22/0.54 % (13276)------------------------------
% 0.22/0.54 % (13276)------------------------------
% 0.22/0.54 % (13265)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% 0.22/0.54 thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.54 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.22/0.54 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.22/0.54 thf(func_def_8, type, powerset: $i > $i).
% 0.22/0.54 thf(func_def_10, type, setunion: $i > $i).
% 0.22/0.54 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_26, type, prop2set: $o > $i).
% 0.22/0.54 thf(func_def_36, type, nonempty: $i > $o).
% 0.22/0.54 thf(func_def_69, type, set2prop: $i > $o).
% 0.22/0.54 thf(func_def_88, type, subset: $i > $i > $o).
% 0.22/0.54 thf(func_def_89, type, disjoint: $i > $i > $o).
% 0.22/0.54 thf(func_def_90, type, setsmeet: $i > $i > $o).
% 0.22/0.54 thf(func_def_114, type, binunion: $i > $i > $i).
% 0.22/0.54 thf(func_def_122, type, binintersect: $i > $i > $i).
% 0.22/0.54 thf(func_def_135, type, regular: $i > $o).
% 0.22/0.54 thf(func_def_136, type, setminus: $i > $i > $i).
% 0.22/0.54 thf(func_def_147, type, symdiff: $i > $i > $i).
% 0.22/0.54 thf(func_def_153, type, iskpair: $i > $o).
% 0.22/0.54 thf(func_def_158, type, kpair: $i > $i > $i).
% 0.22/0.54 thf(func_def_160, type, cartprod: $i > $i > $i).
% 0.22/0.54 thf(func_def_177, type, singleton: $i > $o).
% 0.22/0.54 thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 0.22/0.54 thf(func_def_184, type, atmost1p: $i > $o).
% 0.22/0.54 thf(func_def_185, type, atleast2p: $i > $o).
% 0.22/0.54 thf(func_def_186, type, atmost2p: $i > $o).
% 0.22/0.54 thf(func_def_187, type, upairsetp: $i > $o).
% 0.22/0.54 thf(func_def_191, type, kfst: $i > $i).
% 0.22/0.54 thf(func_def_210, type, sP1: $i > $i > $i > $o > $o).
% 0.22/0.54 thf(func_def_213, type, sP4: $i > $i > $o).
% 0.22/0.54 thf(func_def_214, type, sP5: $i > $o).
% 0.22/0.54 thf(func_def_215, type, sP6: $i > $i > $o).
% 0.22/0.54 thf(func_def_216, type, sP7: $i > $i > $o).
% 0.22/0.54 thf(func_def_219, type, sK10: $i > $i > $i > $i).
% 0.22/0.54 thf(func_def_220, type, sK11: $i > $i > $i > $i).
% 0.22/0.54 thf(func_def_226, type, sK17: $i > $i > $i).
% 0.22/0.54 thf(func_def_233, type, sK24: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.22/0.54 thf(func_def_234, type, sK25: ($i > $o) > ($i > $o) > $i > $i > $i).
% 0.22/0.54 thf(func_def_237, type, sK28: $i > $o).
% 0.22/0.54 thf(func_def_238, type, sK29: $i > $o).
% 0.22/0.54 thf(func_def_246, type, sK37: $i > $o).
% 0.22/0.54 thf(func_def_249, type, sK40: $i > $i > $o).
% 0.22/0.54 thf(func_def_250, type, sK41: $i > $i).
% 0.22/0.54 thf(func_def_251, type, sK42: $i > $i).
% 0.22/0.54 thf(func_def_252, type, sK43: ($i > $i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_253, type, sK44: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_254, type, sK45: ($i > $i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_260, type, sK51: $i > $o).
% 0.22/0.54 thf(func_def_262, type, sK53: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_275, type, sK66: $i > $i > $i).
% 0.22/0.54 thf(func_def_280, type, sK71: $i > $i > $i).
% 0.22/0.54 thf(func_def_284, type, sK75: $i > $i > $i).
% 0.22/0.54 thf(func_def_291, type, sK82: ($i > $o) > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_292, type, sK83: ($i > $o) > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_293, type, sK84: $i > $o).
% 0.22/0.54 thf(func_def_294, type, sK85: $i > $o).
% 0.22/0.54 thf(func_def_299, type, sK90: $i > $o).
% 0.22/0.54 thf(func_def_302, type, sK93: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_304, type, sK95: $i > $o).
% 0.22/0.54 thf(func_def_306, type, sK97: $i > $o).
% 0.22/0.54 thf(func_def_307, type, sK98: $i > $o).
% 0.22/0.54 thf(func_def_308, type, sK99: ($i > $o) > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_309, type, sK100: ($i > $o) > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_311, type, sK102: $i > $o).
% 0.22/0.54 thf(func_def_313, type, sK104: ($i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_314, type, sK105: $i > $o).
% 0.22/0.54 thf(func_def_316, type, sK107: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_317, type, sK108: $i > $o).
% 0.22/0.54 thf(func_def_318, type, sK109: $i > $i).
% 0.22/0.54 thf(func_def_319, type, sK110: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_338, type, sK129: $i > $o).
% 0.22/0.54 thf(func_def_342, type, sK133: $i > $o).
% 0.22/0.54 thf(func_def_344, type, sK135: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_354, type, sK145: $i > $o).
% 0.22/0.54 thf(func_def_365, type, sK156: $i > $o).
% 0.22/0.54 thf(func_def_387, type, sK178: $i > $i > $i).
% 0.22/0.54 thf(func_def_400, type, sK191: $i > $i).
% 0.22/0.54 thf(func_def_402, type, sK193: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_403, type, sK194: $i > $o).
% 0.22/0.54 thf(func_def_422, type, sK213: $i > $o).
% 0.22/0.54 thf(func_def_424, type, sK215: ($i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_430, type, sK221: $i > $i > $i).
% 0.22/0.54 thf(func_def_434, type, sK225: $i > $o).
% 0.22/0.54 thf(func_def_439, type, sK230: $i > $i).
% 0.22/0.54 thf(func_def_440, type, sK231: $i > $i).
% 0.22/0.54 thf(func_def_455, type, sK246: $i > $i).
% 0.22/0.54 thf(func_def_472, type, sK263: $i > $o).
% 0.22/0.54 thf(func_def_474, type, sK265: ($i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_481, type, sK272: $i > $o).
% 0.22/0.54 thf(func_def_484, type, sK275: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_485, type, sK276: $i > $o).
% 0.22/0.54 thf(func_def_486, type, sK277: $i > $i).
% 0.22/0.54 thf(func_def_487, type, sK278: $o > $i > $i > $i).
% 0.22/0.54 thf(func_def_494, type, sK285: $i > $o).
% 0.22/0.54 thf(func_def_498, type, sK289: $i > $o).
% 0.22/0.54 thf(func_def_500, type, sK291: ($i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_501, type, sK292: ($i > $o) > $i > $i).
% 0.22/0.54 thf(func_def_510, type, sK301: $i > $o).
% 0.22/0.54 thf(func_def_512, type, sK303: $i > $o).
% 0.22/0.54 thf(func_def_519, type, sK310: $i > $o).
% 0.22/0.54 thf(func_def_520, type, sK311: ($i > $o) > $i > $i > $i).
% 0.22/0.54 thf(func_def_531, type, sK322: $i > $o).
% 0.22/0.54 thf(func_def_534, type, sK325: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_535, type, sK326: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_538, type, sK329: $i > $i > $i).
% 0.22/0.54 thf(func_def_539, type, sK330: $i > $i > $i).
% 0.22/0.54 thf(func_def_541, type, sK332: $i > $i).
% 0.22/0.54 thf(func_def_546, type, sK337: $i > $o).
% 0.22/0.54 thf(func_def_548, type, sK339: $i > $o).
% 0.22/0.54 thf(func_def_550, type, sK341: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_551, type, sK342: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_552, type, sK343: $i > $i > $i).
% 0.22/0.54 thf(func_def_561, type, sK352: ($i > $o) > $i).
% 0.22/0.54 thf(func_def_562, type, sK353: $i > $o).
% 0.22/0.54 thf(func_def_582, type, sK373: $i > ($i > $o) > $i).
% 0.22/0.54 thf(func_def_583, type, sK374: $i > $o).
% 0.22/0.54 thf(func_def_590, type, sK381: $i > $i > $i).
% 0.22/0.54 thf(func_def_596, type, sK387: $i > $i).
% 0.22/0.54 thf(func_def_611, type, sK402: $i > $i > $i).
% 0.22/0.54 thf(func_def_612, type, sK403: $i > $i > $i).
% 0.22/0.54 thf(func_def_613, type, sK404: $i > $i > $i).
% 0.22/0.54 thf(func_def_614, type, sK405: $i > $i > $i).
% 0.22/0.54 thf(func_def_615, type, sK406: $i > $i > $i > $i).
% 0.22/0.54 thf(func_def_616, type, sK407: $i > $i).
% 0.22/0.54 thf(func_def_617, type, sK408: $i > $i).
% 0.22/0.54 thf(func_def_618, type, sK409: $i > $i).
% 0.22/0.54 thf(func_def_619, type, sK410: $i > $i).
% 0.22/0.54 thf(func_def_620, type, sK411: $i > $i > $i).
% 0.22/0.54 thf(func_def_621, type, sK412: $i > $i > $i > $i).
% 0.22/0.54 thf(func_def_622, type, sK413: $i > $i > $i > $i).
% 0.22/0.54 thf(func_def_623, type, sK414: $i > $i > $i).
% 0.22/0.54 thf(func_def_624, type, sK415: $i > $i > $i).
% 0.22/0.54 thf(func_def_625, type, sK416: $i > $i).
% 0.22/0.54 thf(func_def_626, type, sK417: $i > $i > $i).
% 0.22/0.54 thf(func_def_628, type, sK419: $i > $i).
% 0.22/0.54 thf(func_def_629, type, sK420: $i > $i).
% 0.22/0.54 thf(func_def_635, type, sK426: $i > $o).
% 0.22/0.54 thf(func_def_671, type, sK462: $i > $i).
% 0.22/0.54 thf(f3308,plain,(
% 0.22/0.54 $false),
% 0.22/0.54 inference(subsumption_resolution,[],[f3307,f3037])).
% 0.22/0.54 thf(f3037,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X1 @ emptyset)))) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f2922])).
% 0.22/0.54 thf(f2922,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (((setadjoin @ X1 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X1 @ emptyset))) | ($true != $true)) )),
% 0.22/0.54 inference(equality_resolution,[],[f2695])).
% 0.22/0.54 thf(f2695,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1) | ($true != $true)) )),
% 0.22/0.54 inference(definition_unfolding,[],[f2078,f1659])).
% 0.22/0.54 thf(f1659,plain,(
% 0.22/0.54 (setukpairinjR11 = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f738])).
% 0.22/0.54 thf(f738,plain,(
% 0.22/0.54 (in__Cong = $true) & (setukpairinjL = $true) & (upairsubunion = $true) & (exuE2 = $true) & (powersetI1 = $true) & (eqimpsubset2 = $true) & (symdiffI1 = $true) & (eqinunit = $true) & (descr__Cong = $true) & (ubforcartprodlem1 = $true) & (notinemptyset = $true) & (dsetconstr__Cong = $true) & (nonemptyE1 = $true) & (setukpairinjR11 = $true) & (binintersectSubset5 = $true) & (singletonprop = $true) & (prop2set2propI = $true) & (setukpairIL = $true) & (inPowerset = $true) & (binintersectSubset2 = $true) & (emptysetE = $true) & (setadjoinIL = $true) & (setadjoinSub = $true) & (powersetI = $true) & (powersetE1 = $true) & (subset2powerset = $true) & (symdiffIneg1 = $true) & (foundationAx = $true) & (symdiffI2 = $true) & (binintersectLsub = $true) & (omegaIndAx = $true) & (setunionAx = $true) & (setunionI = $true) & (dsetconstrEL = $true) & (upairinpowunion = $true) & (setadjoinE = $true) & (cartprodfstin = $true) & (omegaSAx = $true) & (cartprodpairin = $true) & (setukpairinjL1 = $true) & (binintersectER = $true) & (emptyInPowerset = $true) & (binunionE = $true) & (subsetRefl = $true) & (omega0Ax = $true) & (setminusELneg = $true) & (setminusILneg = $true) & (symdiffIneg2 = $true) & (subsetE2 = $true) & (secondinupair = $true) & (emptyset__Cong = $true) & (quantDeMorgan4 = $true) & (setukpairinjL2 = $true) & (notdallE = $true) & (disjointsetsI1 = $true) & (upairsetIL = $true) & (setminusSubset1 = $true) & (notequalI2 = $true) & (setminusSubset2 = $true) & (ex1E1 = $true) & (upairsetIR = $true) & (exuI3 = $true) & (emptysetAx = $true) & (binunionIR = $true) & (binintersectSubset4 = $true) & (setadjoinOr = $true) & (exuEu = $true) & (notequalI1 = $true) & (setunionsingleton = $true) & (eqimpsubset1 = $true) & (exuE3u = $true) & (ex1I2 = $true) & (setminusER = $true) & (subsetemptysetimpeq = $true) & (upairset2E = $true) & (powersetsubset = $true) & (emptysetsubset = $true) & (theprop = $true) & (singletoninpowunion = $true) & (uniqinunit = $true) & (setukpairIR = $true) & (upairset2IR = $true) & (cartprodmempair1 = $true) & (emptyI = $true) & (setoftrueEq = $true) & (noeltsimpempty = $true) & (nonemptyI = $true) & (powerset__Cong = $true) & (setadjoinIR = $true) & (upairsetE = $true) & (binunionLsub = $true) & (subPowSU = $true) & (kfstpairEq = $true) & (setunionE2 = $true) & (binintersectSubset1 = $true) & (singletonsuniq = $true) & (binunionEcases = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (emptysetimpfalse = $true) & (setextsub = $true) & (setextAx = $true) & (omega__Cong = $true) & (binintersectRsub = $true) & (setminusI = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (symdiffE = $true) & (quantDeMorgan3 = $true) & (setext = $true) & (replAx = $true) & (setbeta = $true) & (subsetE = $true) & (setunionsingleton2 = $true) & (subsetI2 = $true) & (emptyinunitempty = $true) & (binunionIL = $true) & (binintersectEL = $true) & (ubforcartprodlem3 = $true) & (exuE3e = $true) & (nonemptyImpWitness = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (vacuousDall = $true) & (binintersectSubset3 = $true) & (subsetI1 = $true) & (singletonsubset = $true) & (sepInPowerset = $true) & (exu__Cong = $true) & (setadjoinSub2 = $true) & (setadjoinAx = $true) & (kpairp = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (setminusLsub = $true) & (ex1I = $true) & (singletoninpowerset = $true) & (prop2setE = $true) & (inCongP = $true) & (quantDeMorgan1 = $true) & (notsubsetI = $true) & (subsetTrans = $true) & (descrp = $true) & (binunionRsub = $true) & (ubforcartprodlem2 = $true) & (setunionsingleton1 = $true) & (exuI1 = $true) & (singletonsswitch = $true) & (notdexE = $true) & (exuI2 = $true) & (prop2setI = $true) & (exuE1 = $true) & (setunionE = $true) & (kpairiskpair = $true) & (wellorderingAx = $true) & (setminusEL = $true) & (sepSubset = $true) & (setminusERneg = $true) & (bs114d = $true) & (binintersectI = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & (((setadjoin @ (setadjoin @ sK8 @ emptyset) @ (setadjoin @ (setadjoin @ sK8 @ (setadjoin @ sK9 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK8 @ emptyset) @ emptyset)) & (sK8 = sK9)) & (powersetAx = $true) & (kfstsingleton = $true) & (powersetE = $true) & (dsetconstrER = $true)),
% 0.22/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f562,f737])).
% 0.22/0.54 thf(f737,plain,(
% 0.22/0.54 ? [X0,X1] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ emptyset)) & (X0 = X1)) => (((setadjoin @ (setadjoin @ sK8 @ emptyset) @ (setadjoin @ (setadjoin @ sK8 @ (setadjoin @ sK9 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK8 @ emptyset) @ emptyset)) & (sK8 = sK9))),
% 0.22/0.54 introduced(choice_axiom,[])).
% 0.22/0.54 thf(f562,plain,(
% 0.22/0.54 (in__Cong = $true) & (setukpairinjL = $true) & (upairsubunion = $true) & (exuE2 = $true) & (powersetI1 = $true) & (eqimpsubset2 = $true) & (symdiffI1 = $true) & (eqinunit = $true) & (descr__Cong = $true) & (ubforcartprodlem1 = $true) & (notinemptyset = $true) & (dsetconstr__Cong = $true) & (nonemptyE1 = $true) & (setukpairinjR11 = $true) & (binintersectSubset5 = $true) & (singletonprop = $true) & (prop2set2propI = $true) & (setukpairIL = $true) & (inPowerset = $true) & (binintersectSubset2 = $true) & (emptysetE = $true) & (setadjoinIL = $true) & (setadjoinSub = $true) & (powersetI = $true) & (powersetE1 = $true) & (subset2powerset = $true) & (symdiffIneg1 = $true) & (foundationAx = $true) & (symdiffI2 = $true) & (binintersectLsub = $true) & (omegaIndAx = $true) & (setunionAx = $true) & (setunionI = $true) & (dsetconstrEL = $true) & (upairinpowunion = $true) & (setadjoinE = $true) & (cartprodfstin = $true) & (omegaSAx = $true) & (cartprodpairin = $true) & (setukpairinjL1 = $true) & (binintersectER = $true) & (emptyInPowerset = $true) & (binunionE = $true) & (subsetRefl = $true) & (omega0Ax = $true) & (setminusELneg = $true) & (setminusILneg = $true) & (symdiffIneg2 = $true) & (subsetE2 = $true) & (secondinupair = $true) & (emptyset__Cong = $true) & (quantDeMorgan4 = $true) & (setukpairinjL2 = $true) & (notdallE = $true) & (disjointsetsI1 = $true) & (upairsetIL = $true) & (setminusSubset1 = $true) & (notequalI2 = $true) & (setminusSubset2 = $true) & (ex1E1 = $true) & (upairsetIR = $true) & (exuI3 = $true) & (emptysetAx = $true) & (binunionIR = $true) & (binintersectSubset4 = $true) & (setadjoinOr = $true) & (exuEu = $true) & (notequalI1 = $true) & (setunionsingleton = $true) & (eqimpsubset1 = $true) & (exuE3u = $true) & (ex1I2 = $true) & (setminusER = $true) & (subsetemptysetimpeq = $true) & (upairset2E = $true) & (powersetsubset = $true) & (emptysetsubset = $true) & (theprop = $true) & (singletoninpowunion = $true) & (uniqinunit = $true) & (setukpairIR = $true) & (upairset2IR = $true) & (cartprodmempair1 = $true) & (emptyI = $true) & (setoftrueEq = $true) & (noeltsimpempty = $true) & (nonemptyI = $true) & (powerset__Cong = $true) & (setadjoinIR = $true) & (upairsetE = $true) & (binunionLsub = $true) & (subPowSU = $true) & (kfstpairEq = $true) & (setunionE2 = $true) & (binintersectSubset1 = $true) & (singletonsuniq = $true) & (binunionEcases = $true) & (notinsingleton = $true) & (setadjoin__Cong = $true) & (emptysetimpfalse = $true) & (setextsub = $true) & (setextAx = $true) & (omega__Cong = $true) & (binintersectRsub = $true) & (setminusI = $true) & (emptyE1 = $true) & (setunion__Cong = $true) & (symdiffE = $true) & (quantDeMorgan3 = $true) & (setext = $true) & (replAx = $true) & (setbeta = $true) & (subsetE = $true) & (setunionsingleton2 = $true) & (subsetI2 = $true) & (emptyinunitempty = $true) & (binunionIL = $true) & (binintersectEL = $true) & (ubforcartprodlem3 = $true) & (exuE3e = $true) & (nonemptyImpWitness = $true) & (dsetconstrI = $true) & (emptyinPowerset = $true) & (vacuousDall = $true) & (binintersectSubset3 = $true) & (subsetI1 = $true) & (singletonsubset = $true) & (sepInPowerset = $true) & (exu__Cong = $true) & (setadjoinSub2 = $true) & (setadjoinAx = $true) & (kpairp = $true) & (cartprodmempair = $true) & (nonemptyI1 = $true) & (setminusLsub = $true) & (ex1I = $true) & (singletoninpowerset = $true) & (prop2setE = $true) & (inCongP = $true) & (quantDeMorgan1 = $true) & (notsubsetI = $true) & (subsetTrans = $true) & (descrp = $true) & (binunionRsub = $true) & (ubforcartprodlem2 = $true) & (setunionsingleton1 = $true) & (exuI1 = $true) & (singletonsswitch = $true) & (notdexE = $true) & (exuI2 = $true) & (prop2setI = $true) & (exuE1 = $true) & (setunionE = $true) & (kpairiskpair = $true) & (wellorderingAx = $true) & (setminusEL = $true) & (sepSubset = $true) & (setminusERneg = $true) & (bs114d = $true) & (binintersectI = $true) & (quantDeMorgan2 = $true) & (setminusIRneg = $true) & ? [X0,X1] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ emptyset)) & (X0 = X1)) & (powersetAx = $true) & (kfstsingleton = $true) & (powersetE = $true) & (dsetconstrER = $true)),
% 0.22/0.54 inference(flattening,[],[f561])).
% 0.22/0.54 thf(f561,plain,(
% 0.22/0.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ X0 @ emptyset) @ emptyset)) & (X0 = X1)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.22/0.54 inference(ennf_transformation,[],[f204])).
% 0.22/0.54 thf(f204,plain,(
% 0.22/0.54 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ! [X0,X1] : ((X0 = X1) => ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f203])).
% 0.22/0.54 thf(f203,plain,(
% 0.22/0.54 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => ! [X0,X1] : ((X0 = X1) => ((setadjoin @ (setadjoin @ X0 @ emptyset) @ (setadjoin @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X0 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.54 inference(rectify,[],[f174])).
% 0.22/0.54 thf(f174,negated_conjecture,(
% 0.22/0.54 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => ! [X1,X2] : ((X1 = X2) => ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X1 @ emptyset) @ emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.54 inference(negated_conjecture,[],[f173])).
% 0.22/0.54 thf(f173,conjecture,(
% 0.22/0.54 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => ! [X1,X2] : ((X1 = X2) => ((setadjoin @ (setadjoin @ X1 @ emptyset) @ (setadjoin @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)) @ emptyset)) = (setadjoin @ (setadjoin @ X1 @ emptyset) @ emptyset))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR12)).
% 0.22/0.54 thf(f2078,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1) | (setukpairinjR11 != $true)) )),
% 0.22/0.54 inference(cnf_transformation,[],[f1221])).
% 0.22/0.54 thf(f1221,plain,(
% 0.22/0.54 (! [X0,X1] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1)) | (setukpairinjR11 != $true)) & ((setukpairinjR11 = $true) | (((setadjoin @ sK298 @ emptyset) != (setadjoin @ sK298 @ (setadjoin @ sK299 @ emptyset))) & (sK299 = sK298)))),
% 0.22/0.54 inference(skolemisation,[status(esa),new_symbols(skolem,[sK298,sK299])],[f1219,f1220])).
% 0.22/0.54 thf(f1220,plain,(
% 0.22/0.54 ? [X2,X3] : (((setadjoin @ X2 @ emptyset) != (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 = X3)) => (((setadjoin @ sK298 @ emptyset) != (setadjoin @ sK298 @ (setadjoin @ sK299 @ emptyset))) & (sK299 = sK298))),
% 0.22/0.54 introduced(choice_axiom,[])).
% 0.22/0.54 thf(f1219,plain,(
% 0.22/0.54 (! [X0,X1] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1)) | (setukpairinjR11 != $true)) & ((setukpairinjR11 = $true) | ? [X2,X3] : (((setadjoin @ X2 @ emptyset) != (setadjoin @ X2 @ (setadjoin @ X3 @ emptyset))) & (X2 = X3)))),
% 0.22/0.54 inference(rectify,[],[f1218])).
% 0.22/0.54 thf(f1218,plain,(
% 0.22/0.54 (! [X0,X1] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1)) | (setukpairinjR11 != $true)) & ((setukpairinjR11 = $true) | ? [X0,X1] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) != (setadjoin @ X0 @ emptyset)) & (X0 = X1)))),
% 0.22/0.54 inference(nnf_transformation,[],[f694])).
% 0.22/0.54 thf(f694,plain,(
% 0.22/0.54 ! [X0,X1] : (((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset)) | (X0 != X1)) <=> (setukpairinjR11 = $true)),
% 0.22/0.54 inference(ennf_transformation,[],[f179])).
% 0.22/0.54 thf(f179,plain,(
% 0.22/0.54 ! [X0,X1] : ((X0 = X1) => ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset))) <=> (setukpairinjR11 = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f178])).
% 0.22/0.54 thf(f178,plain,(
% 0.22/0.54 (! [X0,X1] : ((X0 = X1) => ((setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)) = (setadjoin @ X0 @ emptyset))) = setukpairinjR11)),
% 0.22/0.54 inference(rectify,[],[f172])).
% 0.22/0.54 thf(f172,axiom,(
% 0.22/0.54 (! [X1,X2] : ((X1 = X2) => ((setadjoin @ X1 @ emptyset) = (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset)))) = setukpairinjR11)),
% 0.22/0.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjR11)).
% 0.22/0.54 thf(f3307,plain,(
% 0.22/0.54 ((setadjoin @ (setadjoin @ sK9 @ emptyset) @ emptyset) != (setadjoin @ (setadjoin @ sK9 @ emptyset) @ (setadjoin @ (setadjoin @ sK9 @ emptyset) @ emptyset)))),
% 0.22/0.54 inference(backward_demodulation,[],[f2314,f3037])).
% 0.22/0.54 thf(f2314,plain,(
% 0.22/0.54 ((setadjoin @ (setadjoin @ sK9 @ emptyset) @ emptyset) != (setadjoin @ (setadjoin @ sK9 @ emptyset) @ (setadjoin @ (setadjoin @ sK9 @ (setadjoin @ sK9 @ emptyset)) @ emptyset)))),
% 0.22/0.54 inference(definition_unfolding,[],[f1510,f1509,f1509,f1509])).
% 0.22/0.54 thf(f1509,plain,(
% 0.22/0.54 (sK8 = sK9)),
% 0.22/0.54 inference(cnf_transformation,[],[f738])).
% 0.22/0.54 thf(f1510,plain,(
% 0.22/0.54 ((setadjoin @ (setadjoin @ sK8 @ emptyset) @ (setadjoin @ (setadjoin @ sK8 @ (setadjoin @ sK9 @ emptyset)) @ emptyset)) != (setadjoin @ (setadjoin @ sK8 @ emptyset) @ emptyset))),
% 0.22/0.54 inference(cnf_transformation,[],[f738])).
% 0.22/0.54 % SZS output end Proof for theBenchmark
% 0.22/0.54 % (13265)------------------------------
% 0.22/0.54 % (13265)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (13265)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (13265)Memory used [KB]: 8315
% 0.22/0.54 % (13265)Time elapsed: 0.096 s
% 0.22/0.54 % (13265)Instructions burned: 168 (million)
% 0.22/0.54 % (13265)------------------------------
% 0.22/0.54 % (13265)------------------------------
% 0.22/0.54 % (13244)Success in time 0.175 s
% 0.22/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------