TSTP Solution File: NUM635^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM635^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 01:43:55 EDT 2024
% Result : Theorem 1.38s 0.58s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM635^4 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 05:51:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39 % (21303)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)
% 0.14/0.39 % (21304)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)
% 0.14/0.39 % (21299)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.39 % (21302)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.39 % (21301)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)
% 0.14/0.39 % (21300)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)
% 0.14/0.39 % (21305)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (21306)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)
% 0.21/0.39 % (21302)Instruction limit reached!
% 0.21/0.39 % (21302)------------------------------
% 0.21/0.39 % (21302)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (21302)Termination reason: Unknown
% 0.21/0.39 % (21302)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (21303)Instruction limit reached!
% 0.21/0.39 % (21303)------------------------------
% 0.21/0.39 % (21303)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (21303)Termination reason: Unknown
% 0.21/0.39 % (21303)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (21303)Memory used [KB]: 1151
% 0.21/0.39 % (21303)Time elapsed: 0.004 s
% 0.21/0.39 % (21303)Instructions burned: 3 (million)
% 0.21/0.39 % (21303)------------------------------
% 0.21/0.39 % (21303)------------------------------
% 0.21/0.39 % (21302)Memory used [KB]: 1151
% 0.21/0.39 % (21302)Time elapsed: 0.003 s
% 0.21/0.39 % (21302)Instructions burned: 2 (million)
% 0.21/0.39 % (21302)------------------------------
% 0.21/0.39 % (21302)------------------------------
% 0.21/0.39 % (21300)Instruction limit reached!
% 0.21/0.39 % (21300)------------------------------
% 0.21/0.39 % (21300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (21300)Termination reason: Unknown
% 0.21/0.39 % (21300)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (21300)Memory used [KB]: 1279
% 0.21/0.39 % (21300)Time elapsed: 0.004 s
% 0.21/0.39 % (21300)Instructions burned: 4 (million)
% 0.21/0.39 % (21300)------------------------------
% 0.21/0.39 % (21300)------------------------------
% 0.21/0.39 % (21306)Instruction limit reached!
% 0.21/0.39 % (21306)------------------------------
% 0.21/0.39 % (21306)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (21306)Termination reason: Unknown
% 0.21/0.39 % (21306)Termination phase: shuffling
% 0.21/0.39
% 0.21/0.39 % (21306)Memory used [KB]: 1279
% 0.21/0.39 % (21306)Time elapsed: 0.004 s
% 0.21/0.39 % (21306)Instructions burned: 4 (million)
% 0.21/0.39 % (21306)------------------------------
% 0.21/0.39 % (21306)------------------------------
% 0.21/0.40 % (21305)Instruction limit reached!
% 0.21/0.40 % (21305)------------------------------
% 0.21/0.40 % (21305)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (21305)Termination reason: Unknown
% 0.21/0.40 % (21305)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (21305)Memory used [KB]: 1407
% 0.21/0.40 % (21305)Time elapsed: 0.012 s
% 0.21/0.40 % (21305)Instructions burned: 19 (million)
% 0.21/0.40 % (21305)------------------------------
% 0.21/0.40 % (21305)------------------------------
% 0.21/0.40 % (21301)Instruction limit reached!
% 0.21/0.40 % (21301)------------------------------
% 0.21/0.40 % (21301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (21301)Termination reason: Unknown
% 0.21/0.40 % (21301)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (21301)Memory used [KB]: 1535
% 0.21/0.40 % (21301)Time elapsed: 0.016 s
% 0.21/0.40 % (21301)Instructions burned: 27 (million)
% 0.21/0.40 % (21301)------------------------------
% 0.21/0.40 % (21301)------------------------------
% 0.21/0.41 % (21304)Refutation not found, incomplete strategy
% 0.21/0.41 % (21304)------------------------------
% 0.21/0.41 % (21304)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21307)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)
% 0.21/0.41 % (21304)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.41
% 0.21/0.41
% 0.21/0.41 % (21304)Memory used [KB]: 6012
% 0.21/0.41 % (21304)Time elapsed: 0.018 s
% 0.21/0.41 % (21304)Instructions burned: 28 (million)
% 0.21/0.41 % (21304)------------------------------
% 0.21/0.41 % (21304)------------------------------
% 0.21/0.41 % (21308)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)
% 0.21/0.41 % (21309)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)
% 0.21/0.41 % (21310)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)
% 0.21/0.41 % (21309)Instruction limit reached!
% 0.21/0.41 % (21309)------------------------------
% 0.21/0.41 % (21309)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (21309)Termination reason: Unknown
% 0.21/0.41 % (21309)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (21309)Memory used [KB]: 1279
% 0.21/0.41 % (21309)Time elapsed: 0.004 s
% 0.21/0.41 % (21309)Instructions burned: 3 (million)
% 0.21/0.41 % (21309)------------------------------
% 0.21/0.41 % (21309)------------------------------
% 0.21/0.42 % (21308)Instruction limit reached!
% 0.21/0.42 % (21308)------------------------------
% 0.21/0.42 % (21308)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21308)Termination reason: Unknown
% 0.21/0.42 % (21308)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (21308)Memory used [KB]: 1407
% 0.21/0.42 % (21308)Time elapsed: 0.011 s
% 0.21/0.42 % (21308)Instructions burned: 16 (million)
% 0.21/0.42 % (21308)------------------------------
% 0.21/0.42 % (21308)------------------------------
% 0.21/0.42 % (21311)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (21312)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.42 % (21311)Instruction limit reached!
% 0.21/0.42 % (21311)------------------------------
% 0.21/0.42 % (21311)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21311)Termination reason: Unknown
% 0.21/0.42 % (21311)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (21311)Memory used [KB]: 1279
% 0.21/0.42 % (21311)Time elapsed: 0.006 s
% 0.21/0.42 % (21311)Instructions burned: 7 (million)
% 0.21/0.42 % (21311)------------------------------
% 0.21/0.42 % (21311)------------------------------
% 0.21/0.42 % (21313)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)
% 0.21/0.42 % (21313)Instruction limit reached!
% 0.21/0.42 % (21313)------------------------------
% 0.21/0.42 % (21313)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21313)Termination reason: Unknown
% 0.21/0.42 % (21313)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (21313)Memory used [KB]: 1279
% 0.21/0.42 % (21313)Time elapsed: 0.004 s
% 0.21/0.42 % (21313)Instructions burned: 3 (million)
% 0.21/0.42 % (21313)------------------------------
% 0.21/0.42 % (21313)------------------------------
% 0.21/0.42 % (21314)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)
% 0.21/0.42 % (21307)Instruction limit reached!
% 0.21/0.42 % (21307)------------------------------
% 0.21/0.42 % (21307)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (21307)Termination reason: Unknown
% 0.21/0.42 % (21307)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (21307)Memory used [KB]: 1535
% 0.21/0.42 % (21307)Time elapsed: 0.020 s
% 0.21/0.42 % (21307)Instructions burned: 37 (million)
% 0.21/0.42 % (21307)------------------------------
% 0.21/0.42 % (21307)------------------------------
% 0.21/0.43 % (21314)Instruction limit reached!
% 0.21/0.43 % (21314)------------------------------
% 0.21/0.43 % (21314)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21314)Termination reason: Unknown
% 0.21/0.43 % (21314)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (21314)Memory used [KB]: 1151
% 0.21/0.43 % (21314)Time elapsed: 0.004 s
% 0.21/0.43 % (21314)Instructions burned: 3 (million)
% 0.21/0.43 % (21314)------------------------------
% 0.21/0.43 % (21314)------------------------------
% 0.21/0.43 % (21312)Instruction limit reached!
% 0.21/0.43 % (21312)------------------------------
% 0.21/0.43 % (21312)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21312)Termination reason: Unknown
% 0.21/0.43 % (21312)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (21312)Memory used [KB]: 1407
% 0.21/0.43 % (21312)Time elapsed: 0.011 s
% 0.21/0.43 % (21312)Instructions burned: 16 (million)
% 0.21/0.43 % (21312)------------------------------
% 0.21/0.43 % (21312)------------------------------
% 0.21/0.43 % (21315)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)
% 0.21/0.43 % (21315)Instruction limit reached!
% 0.21/0.43 % (21315)------------------------------
% 0.21/0.43 % (21315)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (21315)Termination reason: Unknown
% 0.21/0.43 % (21315)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (21315)Memory used [KB]: 1279
% 0.21/0.43 % (21315)Time elapsed: 0.006 s
% 0.21/0.43 % (21315)Instructions burned: 7 (million)
% 0.21/0.43 % (21315)------------------------------
% 0.21/0.43 % (21315)------------------------------
% 0.21/0.43 % (21316)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)
% 0.21/0.44 % (21316)Instruction limit reached!
% 0.21/0.44 % (21316)------------------------------
% 0.21/0.44 % (21316)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (21316)Termination reason: Unknown
% 0.21/0.44 % (21316)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (21316)Memory used [KB]: 1279
% 0.21/0.44 % (21316)Time elapsed: 0.004 s
% 0.21/0.44 % (21316)Instructions burned: 4 (million)
% 0.21/0.44 % (21316)------------------------------
% 0.21/0.44 % (21316)------------------------------
% 0.21/0.44 % (21317)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.44 % (21318)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)
% 0.21/0.44 % (21319)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.44 % (21317)Instruction limit reached!
% 0.21/0.44 % (21317)------------------------------
% 0.21/0.44 % (21317)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (21317)Termination reason: Unknown
% 0.21/0.44 % (21317)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (21317)Memory used [KB]: 1279
% 0.21/0.44 % (21317)Time elapsed: 0.005 s
% 0.21/0.44 % (21317)Instructions burned: 5 (million)
% 0.21/0.44 % (21317)------------------------------
% 0.21/0.44 % (21317)------------------------------
% 0.21/0.44 % (21320)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (21320)Instruction limit reached!
% 0.21/0.45 % (21320)------------------------------
% 0.21/0.45 % (21320)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (21320)Termination reason: Unknown
% 0.21/0.45 % (21320)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (21320)Memory used [KB]: 1279
% 0.21/0.45 % (21320)Time elapsed: 0.006 s
% 0.21/0.45 % (21320)Instructions burned: 7 (million)
% 0.21/0.45 % (21320)------------------------------
% 0.21/0.45 % (21320)------------------------------
% 0.21/0.45 % (21318)Instruction limit reached!
% 0.21/0.45 % (21318)------------------------------
% 0.21/0.45 % (21318)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (21318)Termination reason: Unknown
% 0.21/0.45 % (21318)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (21318)Memory used [KB]: 1407
% 0.21/0.45 % (21318)Time elapsed: 0.012 s
% 0.21/0.45 % (21318)Instructions burned: 18 (million)
% 0.21/0.45 % (21318)------------------------------
% 0.21/0.45 % (21318)------------------------------
% 0.21/0.45 % (21321)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)
% 0.21/0.45 % (21322)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)
% 0.21/0.46 % (21323)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.46 % (21323)Instruction limit reached!
% 0.21/0.46 % (21323)------------------------------
% 0.21/0.46 % (21323)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (21323)Termination reason: Unknown
% 0.21/0.46 % (21323)Termination phase: shuffling
% 0.21/0.46
% 0.21/0.46 % (21323)Memory used [KB]: 1279
% 0.21/0.46 % (21323)Time elapsed: 0.005 s
% 0.21/0.46 % (21323)Instructions burned: 5 (million)
% 0.21/0.46 % (21323)------------------------------
% 0.21/0.46 % (21323)------------------------------
% 0.21/0.46 % (21324)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)
% 0.21/0.46 % (21322)Instruction limit reached!
% 0.21/0.46 % (21322)------------------------------
% 0.21/0.46 % (21322)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (21322)Termination reason: Unknown
% 0.21/0.46 % (21322)Termination phase: Property scanning
% 0.21/0.46
% 0.21/0.46 % (21322)Memory used [KB]: 1407
% 0.21/0.46 % (21322)Time elapsed: 0.014 s
% 0.21/0.46 % (21322)Instructions burned: 22 (million)
% 0.21/0.46 % (21322)------------------------------
% 0.21/0.46 % (21322)------------------------------
% 0.21/0.46 % (21325)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.47 % (21324)Instruction limit reached!
% 0.21/0.47 % (21324)------------------------------
% 0.21/0.47 % (21324)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (21324)Termination reason: Unknown
% 0.21/0.47 % (21324)Termination phase: shuffling
% 0.21/0.47
% 0.21/0.47 % (21324)Memory used [KB]: 1279
% 0.21/0.47 % (21324)Time elapsed: 0.005 s
% 0.21/0.47 % (21324)Instructions burned: 6 (million)
% 0.21/0.47 % (21324)------------------------------
% 0.21/0.47 % (21324)------------------------------
% 0.21/0.47 % (21299)Instruction limit reached!
% 0.21/0.47 % (21299)------------------------------
% 0.21/0.47 % (21299)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (21299)Termination reason: Unknown
% 0.21/0.47 % (21299)Termination phase: Property scanning
% 0.21/0.47
% 0.21/0.47 % (21299)Memory used [KB]: 1663
% 0.21/0.47 % (21299)Time elapsed: 0.077 s
% 0.21/0.47 % (21299)Instructions burned: 185 (million)
% 0.21/0.47 % (21299)------------------------------
% 0.21/0.47 % (21299)------------------------------
% 0.21/0.48 % (21326)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 (2999ds/779Mi)
% 0.21/0.48 % (21327)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 (2999ds/19Mi)
% 0.21/0.48 % (21321)Refutation not found, incomplete strategy
% 0.21/0.48 % (21321)------------------------------
% 0.21/0.48 % (21321)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (21321)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.48
% 0.21/0.48
% 0.21/0.48 % (21321)Memory used [KB]: 6140
% 0.21/0.48 % (21321)Time elapsed: 0.031 s
% 0.21/0.48 % (21321)Instructions burned: 54 (million)
% 0.21/0.48 % (21321)------------------------------
% 0.21/0.48 % (21321)------------------------------
% 0.21/0.48 % (21328)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)
% 0.21/0.48 % (21329)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.49 % (21327)Instruction limit reached!
% 0.21/0.49 % (21327)------------------------------
% 0.21/0.49 % (21327)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (21327)Termination reason: Unknown
% 0.21/0.49 % (21327)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (21327)Memory used [KB]: 1535
% 0.21/0.49 % (21327)Time elapsed: 0.011 s
% 0.21/0.49 % (21327)Instructions burned: 20 (million)
% 0.21/0.49 % (21327)------------------------------
% 0.21/0.49 % (21327)------------------------------
% 0.21/0.49 % (21329)Instruction limit reached!
% 0.21/0.49 % (21329)------------------------------
% 0.21/0.49 % (21329)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (21329)Termination reason: Unknown
% 0.21/0.49 % (21329)Termination phase: Property scanning
% 0.21/0.49
% 0.21/0.49 % (21329)Memory used [KB]: 1407
% 0.21/0.49 % (21329)Time elapsed: 0.011 s
% 0.21/0.49 % (21329)Instructions burned: 18 (million)
% 0.21/0.49 % (21329)------------------------------
% 0.21/0.49 % (21329)------------------------------
% 0.21/0.49 % (21330)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.49 % (21330)Instruction limit reached!
% 0.21/0.49 % (21330)------------------------------
% 0.21/0.49 % (21330)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (21330)Termination reason: Unknown
% 0.21/0.49 % (21330)Termination phase: shuffling
% 0.21/0.49
% 0.21/0.49 % (21330)Memory used [KB]: 1151
% 0.21/0.49 % (21330)Time elapsed: 0.003 s
% 0.21/0.49 % (21330)Instructions burned: 3 (million)
% 0.21/0.49 % (21330)------------------------------
% 0.21/0.49 % (21330)------------------------------
% 0.21/0.50 % (21331)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.50 % (21332)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.50 % (21333)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.21/0.51 % (21331)Instruction limit reached!
% 0.21/0.51 % (21331)------------------------------
% 0.21/0.51 % (21331)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.51 % (21331)Termination reason: Unknown
% 0.21/0.51 % (21331)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (21331)Memory used [KB]: 1535
% 0.21/0.51 % (21331)Time elapsed: 0.011 s
% 0.21/0.51 % (21331)Instructions burned: 30 (million)
% 0.21/0.51 % (21331)------------------------------
% 0.21/0.51 % (21331)------------------------------
% 1.22/0.52 % (21334)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 theBenchmark for (2998ds/3Mi)
% 1.22/0.52 % (21334)Instruction limit reached!
% 1.22/0.52 % (21334)------------------------------
% 1.22/0.52 % (21334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.52 % (21334)Termination reason: Unknown
% 1.22/0.52 % (21334)Termination phase: shuffling
% 1.22/0.52
% 1.22/0.52 % (21334)Memory used [KB]: 1279
% 1.22/0.52 % (21334)Time elapsed: 0.003 s
% 1.22/0.52 % (21334)Instructions burned: 5 (million)
% 1.22/0.52 % (21334)------------------------------
% 1.22/0.52 % (21334)------------------------------
% 1.22/0.52 % (21333)Instruction limit reached!
% 1.22/0.52 % (21333)------------------------------
% 1.22/0.52 % (21333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.52 % (21333)Termination reason: Unknown
% 1.22/0.52 % (21333)Termination phase: Property scanning
% 1.22/0.52
% 1.22/0.52 % (21333)Memory used [KB]: 1791
% 1.22/0.52 % (21333)Time elapsed: 0.022 s
% 1.22/0.52 % (21333)Instructions burned: 102 (million)
% 1.22/0.52 % (21333)------------------------------
% 1.22/0.52 % (21333)------------------------------
% 1.22/0.53 % (21335)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 theBenchmark for (2998ds/20Mi)
% 1.22/0.53 % (21332)Instruction limit reached!
% 1.22/0.53 % (21332)------------------------------
% 1.22/0.53 % (21332)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.22/0.53 % (21332)Termination reason: Unknown
% 1.22/0.53 % (21332)Termination phase: Property scanning
% 1.22/0.53
% 1.22/0.53 % (21332)Memory used [KB]: 1663
% 1.22/0.53 % (21332)Time elapsed: 0.032 s
% 1.22/0.53 % (21332)Instructions burned: 130 (million)
% 1.22/0.53 % (21332)------------------------------
% 1.22/0.53 % (21332)------------------------------
% 1.22/0.53 % (21336)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 theBenchmark for (2998ds/86Mi)
% 1.38/0.54 % (21335)Instruction limit reached!
% 1.38/0.54 % (21335)------------------------------
% 1.38/0.54 % (21335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.54 % (21335)Termination reason: Unknown
% 1.38/0.54 % (21335)Termination phase: Property scanning
% 1.38/0.54
% 1.38/0.54 % (21335)Memory used [KB]: 1407
% 1.38/0.54 % (21335)Time elapsed: 0.008 s
% 1.38/0.54 % (21335)Instructions burned: 22 (million)
% 1.38/0.54 % (21335)------------------------------
% 1.38/0.54 % (21335)------------------------------
% 1.38/0.54 % (21337)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 theBenchmark for (2998ds/107Mi)
% 1.38/0.55 % (21338)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.38/0.55 % (21336)Instruction limit reached!
% 1.38/0.55 % (21336)------------------------------
% 1.38/0.55 % (21336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.55 % (21336)Termination reason: Unknown
% 1.38/0.55 % (21336)Termination phase: Property scanning
% 1.38/0.55
% 1.38/0.55 % (21336)Memory used [KB]: 1663
% 1.38/0.55 % (21336)Time elapsed: 0.019 s
% 1.38/0.55 % (21336)Instructions burned: 87 (million)
% 1.38/0.55 % (21336)------------------------------
% 1.38/0.55 % (21336)------------------------------
% 1.38/0.56 % (21339)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 1.38/0.56 % (21338)Instruction limit reached!
% 1.38/0.56 % (21338)------------------------------
% 1.38/0.56 % (21338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.56 % (21338)Termination reason: Unknown
% 1.38/0.56 % (21338)Termination phase: Property scanning
% 1.38/0.56
% 1.38/0.56 % (21338)Memory used [KB]: 1535
% 1.38/0.56 % (21338)Time elapsed: 0.012 s
% 1.38/0.56 % (21338)Instructions burned: 39 (million)
% 1.38/0.56 % (21338)------------------------------
% 1.38/0.56 % (21338)------------------------------
% 1.38/0.57 % (21340)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.38/0.57 % (21325)Instruction limit reached!
% 1.38/0.57 % (21325)------------------------------
% 1.38/0.57 % (21325)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.57 % (21325)Termination reason: Unknown
% 1.38/0.57 % (21325)Termination phase: Saturation
% 1.38/0.57
% 1.38/0.57 % (21325)Memory used [KB]: 6396
% 1.38/0.57 % (21325)Time elapsed: 0.102 s
% 1.38/0.57 % (21325)Instructions burned: 380 (million)
% 1.38/0.57 % (21325)------------------------------
% 1.38/0.57 % (21325)------------------------------
% 1.38/0.57 % (21337)Instruction limit reached!
% 1.38/0.57 % (21337)------------------------------
% 1.38/0.57 % (21337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.57 % (21337)Termination reason: Unknown
% 1.38/0.57 % (21337)Termination phase: Property scanning
% 1.38/0.57
% 1.38/0.57 % (21337)Memory used [KB]: 1535
% 1.38/0.57 % (21337)Time elapsed: 0.029 s
% 1.38/0.57 % (21337)Instructions burned: 110 (million)
% 1.38/0.57 % (21337)------------------------------
% 1.38/0.57 % (21337)------------------------------
% 1.38/0.57 % (21328)First to succeed.
% 1.38/0.57 % (21341)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.38/0.58 % (21342)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.38/0.58 % (21328)Refutation found. Thanks to Tanya!
% 1.38/0.58 % SZS status Theorem for theBenchmark
% 1.38/0.58 % SZS output start Proof for theBenchmark
% 1.38/0.58 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_3, type, eps: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_4, type, in: $i > $i > $o).
% 1.38/0.58 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 1.38/0.58 thf(func_def_7, type, union: $i > $i).
% 1.38/0.58 thf(func_def_8, type, power: $i > $i).
% 1.38/0.58 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 1.38/0.58 thf(func_def_10, type, d_Union_closed: $i > $o).
% 1.38/0.58 thf(func_def_11, type, d_Power_closed: $i > $o).
% 1.38/0.58 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 1.38/0.58 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 1.38/0.58 thf(func_def_14, type, univof: $i > $i).
% 1.38/0.58 thf(func_def_15, type, if: $o > $i > $i > $i).
% 1.38/0.58 thf(func_def_16, type, nIn: $i > $i > $o).
% 1.38/0.58 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 1.38/0.58 thf(func_def_18, type, d_Sing: $i > $i).
% 1.38/0.58 thf(func_def_19, type, binunion: $i > $i > $i).
% 1.38/0.58 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 1.38/0.58 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 1.38/0.58 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 1.38/0.58 thf(func_def_23, type, setminus: $i > $i > $i).
% 1.38/0.58 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 1.38/0.58 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 1.38/0.58 thf(func_def_26, type, ordsucc: $i > $i).
% 1.38/0.58 thf(func_def_27, type, nat_p: $i > $o).
% 1.38/0.58 thf(func_def_29, type, d_Inj1: $i > $i).
% 1.38/0.58 thf(func_def_30, type, d_Inj0: $i > $i).
% 1.38/0.58 thf(func_def_31, type, d_Unj: $i > $i).
% 1.38/0.58 thf(func_def_32, type, pair: $i > $i > $i).
% 1.38/0.58 thf(func_def_33, type, proj0: $i > $i).
% 1.38/0.58 thf(func_def_34, type, proj1: $i > $i).
% 1.38/0.58 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 1.38/0.58 thf(func_def_36, type, setprod: $i > $i > $i).
% 1.38/0.58 thf(func_def_37, type, ap: $i > $i > $i).
% 1.38/0.58 thf(func_def_38, type, pair_p: $i > $o).
% 1.38/0.58 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 1.38/0.58 thf(func_def_40, type, imp: $o > $o > $o).
% 1.38/0.58 thf(func_def_41, type, d_not: $o > $o).
% 1.38/0.58 thf(func_def_42, type, wel: $o > $o).
% 1.38/0.58 thf(func_def_44, type, l_ec: $o > $o > $o).
% 1.38/0.58 thf(func_def_45, type, d_and: $o > $o > $o).
% 1.38/0.58 thf(func_def_46, type, l_or: $o > $o > $o).
% 1.38/0.58 thf(func_def_47, type, orec: $o > $o > $o).
% 1.38/0.58 thf(func_def_48, type, l_iff: $o > $o > $o).
% 1.38/0.58 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 1.38/0.58 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 1.38/0.58 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 1.38/0.58 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 1.38/0.58 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 1.38/0.58 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 1.38/0.58 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 1.38/0.58 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_72, type, first: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_73, type, second: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_80, type, r_ec: $o > $o > $o).
% 1.38/0.58 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_82, type, empty: $i > $i > $o).
% 1.38/0.58 thf(func_def_83, type, nonempty: $i > $i > $o).
% 1.38/0.58 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 1.38/0.58 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 1.38/0.58 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 1.38/0.58 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 1.38/0.58 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 1.38/0.58 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 1.38/0.58 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 1.38/0.58 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_103, type, n_is: $i > $i > $o).
% 1.38/0.58 thf(func_def_104, type, nis: $i > $i > $o).
% 1.38/0.58 thf(func_def_105, type, n_in: $i > $i > $o).
% 1.38/0.58 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 1.38/0.58 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 1.38/0.58 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 1.38/0.58 thf(func_def_110, type, cond1: $i > $o).
% 1.38/0.58 thf(func_def_111, type, cond2: $i > $o).
% 1.38/0.58 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_131, type, sK0: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_132, type, sK1: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_133, type, sK2: $i > $i).
% 1.38/0.58 thf(func_def_135, type, sK4: $i > $i > $o).
% 1.38/0.58 thf(func_def_138, type, sK7: $i > $i > $o).
% 1.38/0.58 thf(func_def_139, type, sK8: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_140, type, sK9: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_141, type, sK10: $i > $i > $o).
% 1.38/0.58 thf(func_def_142, type, sK11: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_143, type, sK12: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_144, type, sK13: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_145, type, sK14: $i > $i > $o).
% 1.38/0.58 thf(func_def_146, type, sK15: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_147, type, sK16: $i > $i > $i > $i > $i).
% 1.38/0.58 thf(func_def_148, type, sK17: $i > $i > $o).
% 1.38/0.58 thf(func_def_149, type, sK18: $i > $i > $o).
% 1.38/0.58 thf(func_def_150, type, sK19: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_151, type, sK20: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_152, type, sK21: ($i > $o) > $i).
% 1.38/0.58 thf(func_def_153, type, sK22: $i > $i).
% 1.38/0.58 thf(func_def_154, type, ph23: !>[X0: $tType]:(X0)).
% 1.38/0.58 thf(f1693,plain,(
% 1.38/0.58 $false),
% 1.38/0.58 inference(avatar_sat_refutation,[],[f962,f1168,f1171,f1206,f1323,f1473,f1512,f1589,f1593,f1596,f1600,f1686])).
% 1.38/0.58 thf(f1686,plain,(
% 1.38/0.58 spl3_24 | ~spl3_34 | ~spl3_45),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1685])).
% 1.38/0.58 thf(f1685,plain,(
% 1.38/0.58 $false | (spl3_24 | ~spl3_34 | ~spl3_45)),
% 1.38/0.58 inference(subsumption_resolution,[],[f1673,f1147])).
% 1.38/0.58 thf(f1147,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) != $false) | spl3_24),
% 1.38/0.58 inference(avatar_component_clause,[],[f1146])).
% 1.38/0.58 thf(f1146,plain,(
% 1.38/0.58 spl3_24 <=> ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) = $false)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_24])])).
% 1.38/0.58 thf(f1673,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) = $false) | (~spl3_34 | ~spl3_45)),
% 1.38/0.58 inference(backward_demodulation,[],[f1312,f1625])).
% 1.38/0.58 thf(f1625,plain,(
% 1.38/0.58 (sK5 = sK6) | ~spl3_45),
% 1.38/0.58 inference(leibniz_equality_elimination,[],[f1587])).
% 1.38/0.58 thf(f1587,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($true = (X0 @ sK6)) | ((X0 @ sK5) = $false)) ) | ~spl3_45),
% 1.38/0.58 inference(avatar_component_clause,[],[f1586])).
% 1.38/0.58 thf(f1586,plain,(
% 1.38/0.58 spl3_45 <=> ! [X0 : $i > $o] : (($true = (X0 @ sK6)) | ((X0 @ sK5) = $false))),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_45])])).
% 1.38/0.58 thf(f1312,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK5) = $false) | ~spl3_34),
% 1.38/0.58 inference(avatar_component_clause,[],[f1310])).
% 1.38/0.58 thf(f1310,plain,(
% 1.38/0.58 spl3_34 <=> ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK5) = $false)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_34])])).
% 1.38/0.58 thf(f1600,plain,(
% 1.38/0.58 ~spl3_10 | ~spl3_44),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1599])).
% 1.38/0.58 thf(f1599,plain,(
% 1.38/0.58 $false | (~spl3_10 | ~spl3_44)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1598])).
% 1.38/0.58 thf(f1598,plain,(
% 1.38/0.58 ($false = $true) | (~spl3_10 | ~spl3_44)),
% 1.38/0.58 inference(forward_demodulation,[],[f961,f1511])).
% 1.38/0.58 thf(f1511,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $false) | ~spl3_44),
% 1.38/0.58 inference(avatar_component_clause,[],[f1509])).
% 1.38/0.58 thf(f1509,plain,(
% 1.38/0.58 spl3_44 <=> ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $false)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_44])])).
% 1.38/0.58 thf(f961,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $true) | ~spl3_10),
% 1.38/0.58 inference(avatar_component_clause,[],[f959])).
% 1.38/0.58 thf(f959,plain,(
% 1.38/0.58 spl3_10 <=> ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $true)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_10])])).
% 1.38/0.58 thf(f1596,plain,(
% 1.38/0.58 ~spl3_9),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1595])).
% 1.38/0.58 thf(f1595,plain,(
% 1.38/0.58 $false | ~spl3_9),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1594])).
% 1.38/0.58 thf(f1594,plain,(
% 1.38/0.58 ($false = $true) | ~spl3_9),
% 1.38/0.58 inference(backward_demodulation,[],[f568,f957])).
% 1.38/0.58 thf(f957,plain,(
% 1.38/0.58 ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ~spl3_9),
% 1.38/0.58 inference(avatar_component_clause,[],[f955])).
% 1.38/0.58 thf(f955,plain,(
% 1.38/0.58 spl3_9 <=> ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_9])])).
% 1.38/0.58 thf(f568,plain,(
% 1.38/0.58 ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true)),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f566])).
% 1.38/0.58 thf(f566,plain,(
% 1.38/0.58 (((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ sK6 @ (d_Sing @ sK6)))))) = $false)),
% 1.38/0.58 inference(beta_eta_normalization,[],[f565])).
% 1.38/0.58 thf(f565,plain,(
% 1.38/0.58 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK5 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ Y0 @ (d_Sing @ Y0))))))) @ sK6) = $false)),
% 1.38/0.58 inference(sigma_clausification,[],[f563])).
% 1.38/0.58 thf(f563,plain,(
% 1.38/0.58 ($false = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK5 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ Y0 @ (d_Sing @ Y0)))))))))),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f562])).
% 1.38/0.58 thf(f562,plain,(
% 1.38/0.58 ($false = ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ sK5 @ Y0)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ Y0 @ (d_Sing @ Y0))))))))))),
% 1.38/0.58 inference(beta_eta_normalization,[],[f561])).
% 1.38/0.58 thf(f561,plain,(
% 1.38/0.58 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1)))))))))) @ sK5) = $false)),
% 1.38/0.58 inference(sigma_clausification,[],[f560])).
% 1.38/0.58 thf(f560,plain,(
% 1.38/0.58 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))))))))))) != $true)),
% 1.38/0.58 inference(beta_eta_normalization,[],[f513])).
% 1.38/0.58 thf(f513,plain,(
% 1.38/0.58 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ Y2 @ Y3))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y4 : $i]: (~ (emptyset = Y4)))) @ Y2 @ Y3))))) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y0) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y1))))))))),
% 1.38/0.58 inference(definition_unfolding,[],[f434,f470,f483,f470,f483,f501,f501,f476,f476])).
% 1.38/0.58 thf(f476,plain,(
% 1.38/0.58 (ordsucc = (^[Y0 : $i]: (binunion @ Y0 @ (d_Sing @ Y0))))),
% 1.38/0.58 inference(cnf_transformation,[],[f215])).
% 1.38/0.58 thf(f215,plain,(
% 1.38/0.58 (ordsucc = (^[Y0 : $i]: (binunion @ Y0 @ (d_Sing @ Y0))))),
% 1.38/0.58 inference(fool_elimination,[],[f37])).
% 1.38/0.58 thf(f37,axiom,(
% 1.38/0.58 (ordsucc = (^[X0 : $i] : (binunion @ X0 @ (d_Sing @ X0))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_ordsucc)).
% 1.38/0.58 thf(f501,plain,(
% 1.38/0.58 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1))))))),
% 1.38/0.58 inference(definition_unfolding,[],[f459,f500])).
% 1.38/0.58 thf(f500,plain,(
% 1.38/0.58 (n_is = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0))))))),
% 1.38/0.58 inference(definition_unfolding,[],[f472,f483])).
% 1.38/0.58 thf(f472,plain,(
% 1.38/0.58 (n_is = (e_is @ nat))),
% 1.38/0.58 inference(cnf_transformation,[],[f157])).
% 1.38/0.58 thf(f157,axiom,(
% 1.38/0.58 (n_is = (e_is @ nat))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 1.38/0.58 thf(f459,plain,(
% 1.38/0.58 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 1.38/0.58 inference(cnf_transformation,[],[f413])).
% 1.38/0.58 thf(f413,plain,(
% 1.38/0.58 (nis = (^[Y0 : $i]: ((^[Y1 : $i]: (d_not @ (n_is @ Y0 @ Y1))))))),
% 1.38/0.58 inference(fool_elimination,[],[f158])).
% 1.38/0.58 thf(f158,axiom,(
% 1.38/0.58 (nis = (^[X0 : $i, X1 : $i] : (d_not @ (n_is @ X0 @ X1))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_nis)).
% 1.38/0.58 thf(f483,plain,(
% 1.38/0.58 (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
% 1.38/0.58 inference(cnf_transformation,[],[f285])).
% 1.38/0.58 thf(f285,plain,(
% 1.38/0.58 (nat = (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))))),
% 1.38/0.58 inference(fool_elimination,[],[f156])).
% 1.38/0.58 thf(f156,axiom,(
% 1.38/0.58 ((d_Sep @ omega @ (^[X0 : $i] : ((emptyset != X0)))) = nat)),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_nat)).
% 1.38/0.58 thf(f470,plain,(
% 1.38/0.58 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.38/0.58 inference(cnf_transformation,[],[f260])).
% 1.38/0.58 thf(f260,plain,(
% 1.38/0.58 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 1.38/0.58 inference(fool_elimination,[],[f259])).
% 1.38/0.58 thf(f259,plain,(
% 1.38/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.38/0.58 inference(rectify,[],[f2])).
% 1.38/0.58 thf(f2,axiom,(
% 1.38/0.58 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 1.38/0.58 thf(f434,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))) != $true)),
% 1.38/0.58 inference(cnf_transformation,[],[f415])).
% 1.38/0.58 thf(f415,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))) != $true)),
% 1.38/0.58 inference(flattening,[],[f412])).
% 1.38/0.58 thf(f412,plain,(
% 1.38/0.58 ~((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((nis @ Y0 @ Y1) => (nis @ (ordsucc @ Y0) @ (ordsucc @ Y1))))))) = $true)),
% 1.38/0.58 inference(fool_elimination,[],[f411])).
% 1.38/0.58 thf(f411,plain,(
% 1.38/0.58 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((nis @ X1 @ X3) => (nis @ (ordsucc @ X1) @ (ordsucc @ X3)))))))),
% 1.38/0.58 inference(rectify,[],[f173])).
% 1.38/0.58 thf(f173,negated_conjecture,(
% 1.38/0.58 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1)))))))),
% 1.38/0.58 inference(negated_conjecture,[],[f172])).
% 1.38/0.58 thf(f172,conjecture,(
% 1.38/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((nis @ X0 @ X1) => (nis @ (ordsucc @ X0) @ (ordsucc @ X1)))))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz1)).
% 1.38/0.58 thf(f1593,plain,(
% 1.38/0.58 ~spl3_8 | ~spl3_44),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1592])).
% 1.38/0.58 thf(f1592,plain,(
% 1.38/0.58 $false | (~spl3_8 | ~spl3_44)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1591])).
% 1.38/0.58 thf(f1591,plain,(
% 1.38/0.58 ($false = $true) | (~spl3_8 | ~spl3_44)),
% 1.38/0.58 inference(forward_demodulation,[],[f1590,f953])).
% 1.38/0.58 thf(f953,plain,(
% 1.38/0.58 ($false = (d_not @ $false)) | ~spl3_8),
% 1.38/0.58 inference(avatar_component_clause,[],[f951])).
% 1.38/0.58 thf(f951,plain,(
% 1.38/0.58 spl3_8 <=> ($false = (d_not @ $false))),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])).
% 1.38/0.58 thf(f1590,plain,(
% 1.38/0.58 ($true = (d_not @ $false)) | ~spl3_44),
% 1.38/0.58 inference(backward_demodulation,[],[f570,f1511])).
% 1.38/0.58 thf(f570,plain,(
% 1.38/0.58 ($true = (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6)))),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f567])).
% 1.38/0.58 thf(f567,plain,(
% 1.38/0.58 ($false = ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6)) => (d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ sK6 @ (d_Sing @ sK6))))))),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f566])).
% 1.38/0.58 thf(f1589,plain,(
% 1.38/0.58 spl3_44 | spl3_45),
% 1.38/0.58 inference(avatar_split_clause,[],[f1577,f1586,f1509])).
% 1.38/0.58 thf(f1577,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $false) | ((X0 @ sK5) = $false) | ($true = (X0 @ sK6))) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1565])).
% 1.38/0.58 thf(f1565,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = $true) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $false) | ($true = (X0 @ sK6)) | ((X0 @ sK5) = $false)) )),
% 1.38/0.58 inference(superposition,[],[f568,f978])).
% 1.38/0.58 thf(f978,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ((X0 @ sK5) = $false) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ X1)) | ((X0 @ X1) = $true)) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f966])).
% 1.38/0.58 thf(f966,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ X1)) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($false = $true) | ((X0 @ X1) = $true) | ((X0 @ sK5) = $false)) )),
% 1.38/0.58 inference(superposition,[],[f698,f564])).
% 1.38/0.58 thf(f564,plain,(
% 1.38/0.58 ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true)),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f562])).
% 1.38/0.58 thf(f698,plain,(
% 1.38/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1)))) | ((X0 @ X2) = $false) | ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ((X0 @ X3) = $true) | ($false = (e_is @ X1 @ X2 @ X3))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f697])).
% 1.38/0.58 thf(f697,plain,(
% 1.38/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (((X0 @ X2) = $false) | (((e_is @ X1 @ X2 @ X3) => (X0 @ X3)) = $true) | ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1))))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f696])).
% 1.38/0.58 thf(f696,plain,(
% 1.38/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1)))) | ($true = ((X0 @ X2) => ((e_is @ X1 @ X2 @ X3) => (X0 @ X3)))) | ((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false)) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f695])).
% 1.38/0.58 thf(f695,plain,(
% 1.38/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1)))) | (((is_of @ X3 @ (^[Y0 : $i]: (in @ Y0 @ X1))) => ((X0 @ X2) => ((e_is @ X1 @ X2 @ X3) => (X0 @ X3)))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f694])).
% 1.38/0.58 thf(f694,plain,(
% 1.38/0.58 ( ! [X2 : $i,X3 : $i,X0 : $i > $o,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1)))) | (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X1))) => ((X0 @ X2) => ((e_is @ X1 @ X2 @ Y0) => (X0 @ Y0))))) @ X3) = $true)) )),
% 1.38/0.58 inference(pi_clausification,[],[f693])).
% 1.38/0.58 thf(f693,plain,(
% 1.38/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1)))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X1))) => ((X0 @ X2) => ((e_is @ X1 @ X2 @ Y0) => (X0 @ Y0)))))))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f692])).
% 1.38/0.58 thf(f692,plain,(
% 1.38/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ X1))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X1))) => ((X0 @ X2) => ((e_is @ X1 @ X2 @ Y0) => (X0 @ Y0))))))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f691])).
% 1.38/0.58 thf(f691,plain,(
% 1.38/0.58 ( ! [X2 : $i,X0 : $i > $o,X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X1))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ X1))) => ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1)))))))) @ X2) = $true)) )),
% 1.38/0.58 inference(pi_clausification,[],[f690])).
% 1.38/0.58 thf(f690,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X1))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ X1))) => ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1))))))))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f536])).
% 1.38/0.58 thf(f536,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X1)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ X1)) @ (^[Y1 : $i]: ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 1.38/0.58 inference(definition_unfolding,[],[f477,f470,f470])).
% 1.38/0.58 thf(f477,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X1)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X1)) @ (^[Y1 : $i]: ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1))))))))) )),
% 1.38/0.58 inference(cnf_transformation,[],[f199])).
% 1.38/0.58 thf(f199,plain,(
% 1.38/0.58 ! [X0 : $i > $o,X1] : ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X1)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ X1)) @ (^[Y1 : $i]: ((X0 @ Y0) => ((e_is @ X1 @ Y0 @ Y1) => (X0 @ Y1))))))))),
% 1.38/0.58 inference(fool_elimination,[],[f198])).
% 1.38/0.58 thf(f198,plain,(
% 1.38/0.58 ! [X0 : $i > $o,X1] : (all_of @ (^[X2 : $i] : (in @ X2 @ X1)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ X1)) @ (^[X5 : $i] : ((X0 @ X3) => ((e_is @ X1 @ X3 @ X5) => (X0 @ X5)))))))),
% 1.38/0.58 inference(rectify,[],[f93])).
% 1.38/0.58 thf(f93,axiom,(
% 1.38/0.58 ! [X1 : $i > $o,X0] : (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (^[X2 : $i] : (all_of @ (^[X3 : $i] : (in @ X3 @ X0)) @ (^[X3 : $i] : ((X1 @ X2) => ((e_is @ X0 @ X2 @ X3) => (X1 @ X3)))))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_isp)).
% 1.38/0.58 thf(f1512,plain,(
% 1.38/0.58 spl3_44 | spl3_17 | ~spl3_26),
% 1.38/0.58 inference(avatar_split_clause,[],[f1244,f1156,f1088,f1509])).
% 1.38/0.58 thf(f1088,plain,(
% 1.38/0.58 spl3_17 <=> ($true = (d_not @ $true))),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_17])])).
% 1.38/0.58 thf(f1156,plain,(
% 1.38/0.58 spl3_26 <=> ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ($true = (X0 @ sK6)))),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_26])])).
% 1.38/0.58 thf(f1244,plain,(
% 1.38/0.58 ($true = (d_not @ $true)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $false) | ~spl3_26),
% 1.38/0.58 inference(superposition,[],[f570,f1157])).
% 1.38/0.58 thf(f1157,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($true = (X0 @ sK6)) | ($false = (X0 @ sK6))) ) | ~spl3_26),
% 1.38/0.58 inference(avatar_component_clause,[],[f1156])).
% 1.38/0.58 thf(f1473,plain,(
% 1.38/0.58 ~spl3_17 | ~spl3_33),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1472])).
% 1.38/0.58 thf(f1472,plain,(
% 1.38/0.58 $false | (~spl3_17 | ~spl3_33)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1471])).
% 1.38/0.58 thf(f1471,plain,(
% 1.38/0.58 ($false = $true) | (~spl3_17 | ~spl3_33)),
% 1.38/0.58 inference(backward_demodulation,[],[f564,f1470])).
% 1.38/0.58 thf(f1470,plain,(
% 1.38/0.58 ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | (~spl3_17 | ~spl3_33)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1469])).
% 1.38/0.58 thf(f1469,plain,(
% 1.38/0.58 ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($false = $true) | (~spl3_17 | ~spl3_33)),
% 1.38/0.58 inference(forward_demodulation,[],[f1464,f1090])).
% 1.38/0.58 thf(f1090,plain,(
% 1.38/0.58 ($true = (d_not @ $true)) | ~spl3_17),
% 1.38/0.58 inference(avatar_component_clause,[],[f1088])).
% 1.38/0.58 thf(f1464,plain,(
% 1.38/0.58 ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($false = (d_not @ $true)) | ~spl3_33),
% 1.38/0.58 inference(superposition,[],[f1344,f1026])).
% 1.38/0.58 thf(f1026,plain,(
% 1.38/0.58 ( ! [X0 : $i] : (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X0 @ (d_Sing @ X0)) @ (binunion @ X0 @ (d_Sing @ X0))) = $true) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1017])).
% 1.38/0.58 thf(f1017,plain,(
% 1.38/0.58 ( ! [X0 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($false = $true) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X0 @ (d_Sing @ X0)) @ (binunion @ X0 @ (d_Sing @ X0))) = $true)) )),
% 1.38/0.58 inference(superposition,[],[f664,f679])).
% 1.38/0.58 thf(f679,plain,(
% 1.38/0.58 ( ! [X0 : $i,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0)))) | ((e_is @ X0 @ X1 @ X1) = $true)) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f678])).
% 1.38/0.58 thf(f678,plain,(
% 1.38/0.58 ( ! [X0 : $i,X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ X0))) => (e_is @ X0 @ X1 @ X1)) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f677])).
% 1.38/0.58 thf(f677,plain,(
% 1.38/0.58 ( ! [X0 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (e_is @ X0 @ Y0 @ Y0))) @ X1))) )),
% 1.38/0.58 inference(pi_clausification,[],[f676])).
% 1.38/0.58 thf(f676,plain,(
% 1.38/0.58 ( ! [X0 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ X0))) => (e_is @ X0 @ Y0 @ Y0)))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f543])).
% 1.38/0.58 thf(f543,plain,(
% 1.38/0.58 ( ! [X0 : $i] : ((((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))) = $true)) )),
% 1.38/0.58 inference(definition_unfolding,[],[f492,f470])).
% 1.38/0.58 thf(f492,plain,(
% 1.38/0.58 ( ! [X0 : $i] : (($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))))) )),
% 1.38/0.58 inference(cnf_transformation,[],[f343])).
% 1.38/0.58 thf(f343,plain,(
% 1.38/0.58 ! [X0] : ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ X0)) @ (^[Y0 : $i]: (e_is @ X0 @ Y0 @ Y0))))),
% 1.38/0.58 inference(fool_elimination,[],[f342])).
% 1.38/0.58 thf(f342,plain,(
% 1.38/0.58 ! [X0] : (all_of @ (^[X1 : $i] : (in @ X1 @ X0)) @ (^[X2 : $i] : (e_is @ X0 @ X2 @ X2)))),
% 1.38/0.58 inference(rectify,[],[f92])).
% 1.38/0.58 thf(f92,axiom,(
% 1.38/0.58 ! [X0] : (all_of @ (^[X1 : $i] : (in @ X1 @ X0)) @ (^[X1 : $i] : (e_is @ X0 @ X1 @ X1)))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',refis)).
% 1.38/0.58 thf(f664,plain,(
% 1.38/0.58 ( ! [X1 : $i] : (((is_of @ (binunion @ X1 @ (d_Sing @ X1)) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $true) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f663])).
% 1.38/0.58 thf(f663,plain,(
% 1.38/0.58 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (is_of @ (binunion @ X1 @ (d_Sing @ X1)) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f662])).
% 1.38/0.58 thf(f662,plain,(
% 1.38/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (is_of @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))))) @ X1) = $true)) )),
% 1.38/0.58 inference(pi_clausification,[],[f661])).
% 1.38/0.58 thf(f661,plain,(
% 1.38/0.58 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (is_of @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))))))) = $true)),
% 1.38/0.58 inference(beta_eta_normalization,[],[f512])).
% 1.38/0.58 thf(f512,plain,(
% 1.38/0.58 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: (is_of @ ((^[Y1 : $i]: (binunion @ Y1 @ (d_Sing @ Y1))) @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))))) = $true)),
% 1.38/0.58 inference(definition_unfolding,[],[f432,f470,f483,f476,f483])).
% 1.38/0.58 thf(f432,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))) = $true)),
% 1.38/0.58 inference(cnf_transformation,[],[f226])).
% 1.38/0.58 thf(f226,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (is_of @ (ordsucc @ Y0) @ (^[Y1 : $i]: (in @ Y1 @ nat))))) = $true)),
% 1.38/0.58 inference(fool_elimination,[],[f225])).
% 1.38/0.58 thf(f225,plain,(
% 1.38/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (is_of @ (ordsucc @ X1) @ (^[X2 : $i] : (in @ X2 @ nat)))))),
% 1.38/0.58 inference(rectify,[],[f165])).
% 1.38/0.58 thf(f165,axiom,(
% 1.38/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (is_of @ (ordsucc @ X0) @ (^[X1 : $i] : (in @ X1 @ nat)))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',suc_p)).
% 1.38/0.58 thf(f1344,plain,(
% 1.38/0.58 ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ sK5 @ (d_Sing @ sK5)))) = $false) | ~spl3_33),
% 1.38/0.58 inference(backward_demodulation,[],[f569,f1325])).
% 1.38/0.58 thf(f1325,plain,(
% 1.38/0.58 (sK5 = sK6) | ~spl3_33),
% 1.38/0.58 inference(leibniz_equality_elimination,[],[f1308])).
% 1.38/0.58 thf(f1308,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ((X0 @ sK5) = $true)) ) | ~spl3_33),
% 1.38/0.58 inference(avatar_component_clause,[],[f1307])).
% 1.38/0.58 thf(f1307,plain,(
% 1.38/0.58 spl3_33 <=> ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ((X0 @ sK5) = $true))),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_33])])).
% 1.38/0.58 thf(f569,plain,(
% 1.38/0.58 ((d_not @ (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ sK5 @ (d_Sing @ sK5)) @ (binunion @ sK6 @ (d_Sing @ sK6)))) = $false)),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f567])).
% 1.38/0.58 thf(f1323,plain,(
% 1.38/0.58 spl3_34 | spl3_33),
% 1.38/0.58 inference(avatar_split_clause,[],[f1299,f1307,f1310])).
% 1.38/0.58 thf(f1299,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK5) = $false) | ((X0 @ sK5) = $true)) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1296])).
% 1.38/0.58 thf(f1296,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK5) = $false) | ($false = $true) | ((X0 @ sK5) = $true)) )),
% 1.38/0.58 inference(superposition,[],[f564,f975])).
% 1.38/0.58 thf(f975,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($false = (X0 @ sK6)) | ((X0 @ X1) = $true) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ X1))) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f970])).
% 1.38/0.58 thf(f970,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ((X0 @ X1) = $true) | ($false = (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ X1)) | ($false = (X0 @ sK6)) | ($false = $true)) )),
% 1.38/0.58 inference(superposition,[],[f568,f698])).
% 1.38/0.58 thf(f1206,plain,(
% 1.38/0.58 ~spl3_24),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1205])).
% 1.38/0.58 thf(f1205,plain,(
% 1.38/0.58 $false | ~spl3_24),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1204])).
% 1.38/0.58 thf(f1204,plain,(
% 1.38/0.58 ($false = $true) | ~spl3_24),
% 1.38/0.58 inference(backward_demodulation,[],[f918,f1148])).
% 1.38/0.58 thf(f1148,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) = $false) | ~spl3_24),
% 1.38/0.58 inference(avatar_component_clause,[],[f1146])).
% 1.38/0.58 thf(f918,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) = $true)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f912])).
% 1.38/0.58 thf(f912,plain,(
% 1.38/0.58 ($false = $true) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK5) = $true)),
% 1.38/0.58 inference(superposition,[],[f564,f679])).
% 1.38/0.58 thf(f1171,plain,(
% 1.38/0.58 ~spl3_25),
% 1.38/0.58 inference(avatar_contradiction_clause,[],[f1170])).
% 1.38/0.58 thf(f1170,plain,(
% 1.38/0.58 $false | ~spl3_25),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1169])).
% 1.38/0.58 thf(f1169,plain,(
% 1.38/0.58 ($false = $true) | ~spl3_25),
% 1.38/0.58 inference(backward_demodulation,[],[f917,f1154])).
% 1.38/0.58 thf(f1154,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $false) | ~spl3_25),
% 1.38/0.58 inference(avatar_component_clause,[],[f1152])).
% 1.38/0.58 thf(f1152,plain,(
% 1.38/0.58 spl3_25 <=> ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $false)),
% 1.38/0.58 introduced(avatar_definition,[new_symbols(naming,[spl3_25])])).
% 1.38/0.58 thf(f917,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $true)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f910])).
% 1.38/0.58 thf(f910,plain,(
% 1.38/0.58 ($false = $true) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $true)),
% 1.38/0.58 inference(superposition,[],[f679,f568])).
% 1.38/0.58 thf(f1168,plain,(
% 1.38/0.58 spl3_25 | spl3_26),
% 1.38/0.58 inference(avatar_split_clause,[],[f1135,f1156,f1152])).
% 1.38/0.58 thf(f1135,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = (X0 @ sK6)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $false) | ($true = (X0 @ sK6))) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f1129])).
% 1.38/0.58 thf(f1129,plain,(
% 1.38/0.58 ( ! [X0 : $i > $o] : (($false = $true) | ($false = (X0 @ sK6)) | ($true = (X0 @ sK6)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK6 @ sK6) = $false)) )),
% 1.38/0.58 inference(superposition,[],[f977,f568])).
% 1.38/0.58 thf(f977,plain,(
% 1.38/0.58 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ($true = (X2 @ X0)) | ($false = (e_is @ X1 @ X0 @ X0)) | ($false = (X2 @ X0))) )),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f971])).
% 1.38/0.58 thf(f971,plain,(
% 1.38/0.58 ( ! [X2 : $i > $o,X0 : $i,X1 : $i] : (($false = (X2 @ X0)) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ X1))) = $false) | ($true = (X2 @ X0)) | ($false != $false) | ($false = (e_is @ X1 @ X0 @ X0))) )),
% 1.38/0.58 inference(equality_factoring,[],[f698])).
% 1.38/0.58 thf(f962,plain,(
% 1.38/0.58 spl3_8 | spl3_9 | spl3_10),
% 1.38/0.58 inference(avatar_split_clause,[],[f949,f959,f955,f951])).
% 1.38/0.58 thf(f949,plain,(
% 1.38/0.58 ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($false = (d_not @ $false)) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $true)),
% 1.38/0.58 inference(trivial_inequality_removal,[],[f948])).
% 1.38/0.58 thf(f948,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $true) | ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ($false = $true) | ($false = (d_not @ $false))),
% 1.38/0.58 inference(forward_demodulation,[],[f947,f564])).
% 1.38/0.58 thf(f947,plain,(
% 1.38/0.58 ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ sK5 @ sK6) = $true) | ($false = (d_not @ $false)) | ((is_of @ sK6 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false) | ((is_of @ sK5 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) = $false)),
% 1.38/0.58 inference(superposition,[],[f569,f715])).
% 1.38/0.58 thf(f715,plain,(
% 1.38/0.58 ( ! [X2 : $i,X1 : $i] : (((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) = $false) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2) = $true) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f714])).
% 1.38/0.58 thf(f714,plain,(
% 1.38/0.58 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))))) | ($true = ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) => (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2)))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f713])).
% 1.38/0.58 thf(f713,plain,(
% 1.38/0.58 ( ! [X2 : $i,X1 : $i] : ((((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => ((e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ X2 @ (d_Sing @ X2))) => (e_is @ (d_Sep @ omega @ (^[Y0 : $i]: (~ (emptyset = Y0)))) @ X1 @ X2))) = $true) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f712])).
% 1.38/0.58 thf(f712,plain,(
% 1.38/0.58 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0)))) @ X2) = $true) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
% 1.38/0.58 inference(pi_clausification,[],[f711])).
% 1.38/0.58 thf(f711,plain,(
% 1.38/0.58 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0))))) = $true) | ($false = (is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))))) )),
% 1.38/0.58 inference(binary_proxy_clausification,[],[f710])).
% 1.38/0.58 thf(f710,plain,(
% 1.38/0.58 ( ! [X1 : $i] : ((((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1))))))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => ((e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ (binunion @ X1 @ (d_Sing @ X1)) @ (binunion @ Y0 @ (d_Sing @ Y0))) => (e_is @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))) @ X1 @ Y0)))))) = $true)) )),
% 1.38/0.58 inference(beta_eta_normalization,[],[f709])).
% 1.38/0.58 thf(f709,plain,(
% 1.38/0.58 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1))))))) @ X1) = $true)) )),
% 1.38/0.58 inference(pi_clausification,[],[f708])).
% 1.38/0.58 thf(f708,plain,(
% 1.38/0.58 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2))))))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ (d_Sep @ omega @ (^[Y3 : $i]: (~ (emptyset = Y3))))))) => ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ (binunion @ Y0 @ (d_Sing @ Y0)) @ (binunion @ Y1 @ (d_Sing @ Y1))) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)))))))))),
% 1.38/0.58 inference(beta_eta_normalization,[],[f526])).
% 1.38/0.58 thf(f526,plain,(
% 1.38/0.58 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ (d_Sep @ omega @ (^[Y1 : $i]: (~ (emptyset = Y1)))))) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))))) @ (^[Y1 : $i]: ((e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y0) @ ((^[Y2 : $i]: (binunion @ Y2 @ (d_Sing @ Y2))) @ Y1)) => (e_is @ (d_Sep @ omega @ (^[Y2 : $i]: (~ (emptyset = Y2)))) @ Y0 @ Y1)))))))),
% 1.38/0.58 inference(definition_unfolding,[],[f454,f470,f483,f470,f483,f500,f476,f476,f500])).
% 1.38/0.58 thf(f454,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))) = $true)),
% 1.38/0.58 inference(cnf_transformation,[],[f399])).
% 1.38/0.58 thf(f399,plain,(
% 1.38/0.58 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((n_is @ (ordsucc @ Y0) @ (ordsucc @ Y1)) => (n_is @ Y0 @ Y1)))))) = $true)),
% 1.38/0.58 inference(fool_elimination,[],[f398])).
% 1.38/0.58 thf(f398,plain,(
% 1.38/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((n_is @ (ordsucc @ X1) @ (ordsucc @ X3)) => (n_is @ X1 @ X3))))))),
% 1.38/0.58 inference(rectify,[],[f167])).
% 1.38/0.58 thf(f167,axiom,(
% 1.38/0.58 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((n_is @ (ordsucc @ X0) @ (ordsucc @ X1)) => (n_is @ X0 @ X1))))))),
% 1.38/0.58 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_ax4)).
% 1.38/0.58 % SZS output end Proof for theBenchmark
% 1.38/0.58 % (21328)------------------------------
% 1.38/0.58 % (21328)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.38/0.58 % (21328)Termination reason: Refutation
% 1.38/0.58
% 1.38/0.58 % (21328)Memory used [KB]: 6908
% 1.38/0.58 % (21328)Time elapsed: 0.098 s
% 1.38/0.58 % (21328)Instructions burned: 249 (million)
% 1.38/0.58 % (21328)------------------------------
% 1.38/0.58 % (21328)------------------------------
% 1.38/0.58 % (21298)Success in time 0.204 s
% 1.38/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------