TSTP Solution File: NUM667^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM667^4 : 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 : n022.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 01:44:28 EDT 2024
% Result : Theorem 20.50s 3.17s
% Output : Refutation 20.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM667^4 : TPTP v8.2.0. Released v7.1.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 04:56:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 % (934)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 % (935)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 % (933)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.39 % (932)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)
% 0.22/0.39 % (933)Instruction limit reached!
% 0.22/0.39 % (933)------------------------------
% 0.22/0.39 % (933)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (933)Termination reason: Unknown
% 0.22/0.39 % (933)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (934)Instruction limit reached!
% 0.22/0.39 % (934)------------------------------
% 0.22/0.39 % (934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (933)Memory used [KB]: 1279
% 0.22/0.39 % (933)Time elapsed: 0.003 s
% 0.22/0.39 % (933)Instructions burned: 3 (million)
% 0.22/0.39 % (933)------------------------------
% 0.22/0.39 % (933)------------------------------
% 0.22/0.39 % (931)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)
% 0.22/0.39 % (930)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.39 % (934)Termination reason: Unknown
% 0.22/0.39 % (934)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (934)Memory used [KB]: 1279
% 0.22/0.39 % (934)Time elapsed: 0.003 s
% 0.22/0.39 % (934)Instructions burned: 3 (million)
% 0.22/0.39 % (934)------------------------------
% 0.22/0.39 % (934)------------------------------
% 0.22/0.39 % (931)Instruction limit reached!
% 0.22/0.39 % (931)------------------------------
% 0.22/0.39 % (931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (931)Termination reason: Unknown
% 0.22/0.39 % (931)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (931)Memory used [KB]: 1279
% 0.22/0.39 % (931)Time elapsed: 0.004 s
% 0.22/0.39 % (931)Instructions burned: 4 (million)
% 0.22/0.39 % (931)------------------------------
% 0.22/0.39 % (931)------------------------------
% 0.22/0.40 % (936)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.40 % (932)Instruction limit reached!
% 0.22/0.40 % (932)------------------------------
% 0.22/0.40 % (932)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (932)Termination reason: Unknown
% 0.22/0.40 % (932)Termination phase: Property scanning
% 0.22/0.40
% 0.22/0.40 % (932)Memory used [KB]: 1663
% 0.22/0.40 % (932)Time elapsed: 0.014 s
% 0.22/0.40 % (932)Instructions burned: 28 (million)
% 0.22/0.40 % (932)------------------------------
% 0.22/0.40 % (932)------------------------------
% 0.22/0.40 % (939)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)
% 0.22/0.40 % (940)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)
% 0.22/0.40 % (937)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)
% 0.22/0.41 % (938)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)
% 0.22/0.41 % (940)Instruction limit reached!
% 0.22/0.41 % (940)------------------------------
% 0.22/0.41 % (940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (936)Instruction limit reached!
% 0.22/0.41 % (936)------------------------------
% 0.22/0.41 % (936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (936)Termination reason: Unknown
% 0.22/0.41 % (936)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (936)Memory used [KB]: 1535
% 0.22/0.41 % (936)Time elapsed: 0.012 s
% 0.22/0.41 % (936)Instructions burned: 18 (million)
% 0.22/0.41 % (936)------------------------------
% 0.22/0.41 % (936)------------------------------
% 0.22/0.41 % (940)Termination reason: Unknown
% 0.22/0.41 % (940)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (940)Memory used [KB]: 1279
% 0.22/0.41 % (940)Time elapsed: 0.004 s
% 0.22/0.41 % (940)Instructions burned: 4 (million)
% 0.22/0.41 % (940)------------------------------
% 0.22/0.41 % (940)------------------------------
% 0.22/0.41 % (937)Instruction limit reached!
% 0.22/0.41 % (937)------------------------------
% 0.22/0.41 % (937)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (937)Termination reason: Unknown
% 0.22/0.41 % (937)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (937)Memory used [KB]: 1279
% 0.22/0.41 % (937)Time elapsed: 0.004 s
% 0.22/0.41 % (937)Instructions burned: 4 (million)
% 0.22/0.41 % (937)------------------------------
% 0.22/0.41 % (937)------------------------------
% 0.22/0.41 % (935)Refutation not found, incomplete strategy
% 0.22/0.41 % (935)------------------------------
% 0.22/0.41 % (935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (935)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (935)Memory used [KB]: 6140
% 0.22/0.41 % (935)Time elapsed: 0.021 s
% 0.22/0.41 % (935)Instructions burned: 43 (million)
% 0.22/0.41 % (935)------------------------------
% 0.22/0.41 % (935)------------------------------
% 0.22/0.41 % (939)Instruction limit reached!
% 0.22/0.41 % (939)------------------------------
% 0.22/0.41 % (939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (939)Termination reason: Unknown
% 0.22/0.41 % (939)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (939)Memory used [KB]: 1535
% 0.22/0.41 % (939)Time elapsed: 0.008 s
% 0.22/0.41 % (939)Instructions burned: 15 (million)
% 0.22/0.41 % (939)------------------------------
% 0.22/0.41 % (939)------------------------------
% 0.22/0.42 % (945)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.42 % (942)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)
% 0.22/0.42 % (947)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)
% 0.22/0.42 % (946)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)
% 0.22/0.42 % (943)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 % (947)Instruction limit reached!
% 0.22/0.42 % (947)------------------------------
% 0.22/0.42 % (947)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (947)Termination reason: Unknown
% 0.22/0.42 % (947)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (947)Memory used [KB]: 1279
% 0.22/0.42 % (947)Time elapsed: 0.003 s
% 0.22/0.42 % (947)Instructions burned: 3 (million)
% 0.22/0.42 % (947)------------------------------
% 0.22/0.42 % (947)------------------------------
% 0.22/0.42 % (946)Instruction limit reached!
% 0.22/0.42 % (946)------------------------------
% 0.22/0.42 % (946)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (946)Termination reason: Unknown
% 0.22/0.42 % (946)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (946)Memory used [KB]: 1279
% 0.22/0.42 % (946)Time elapsed: 0.004 s
% 0.22/0.42 % (946)Instructions burned: 4 (million)
% 0.22/0.42 % (946)------------------------------
% 0.22/0.42 % (946)------------------------------
% 0.22/0.42 % (938)Instruction limit reached!
% 0.22/0.42 % (938)------------------------------
% 0.22/0.42 % (938)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.42 % (938)Termination reason: Unknown
% 0.22/0.42 % (938)Termination phase: Property scanning
% 0.22/0.42
% 0.22/0.42 % (938)Memory used [KB]: 1663
% 0.22/0.42 % (938)Time elapsed: 0.021 s
% 0.22/0.42 % (938)Instructions burned: 39 (million)
% 0.22/0.42 % (938)------------------------------
% 0.22/0.42 % (938)------------------------------
% 0.22/0.43 % (943)Instruction limit reached!
% 0.22/0.43 % (943)------------------------------
% 0.22/0.43 % (943)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (943)Termination reason: Unknown
% 0.22/0.43 % (943)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (943)Memory used [KB]: 1407
% 0.22/0.43 % (943)Time elapsed: 0.006 s
% 0.22/0.43 % (943)Instructions burned: 7 (million)
% 0.22/0.43 % (943)------------------------------
% 0.22/0.43 % (943)------------------------------
% 0.22/0.43 % (945)Instruction limit reached!
% 0.22/0.43 % (945)------------------------------
% 0.22/0.43 % (945)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (945)Termination reason: Unknown
% 0.22/0.43 % (945)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (945)Memory used [KB]: 1535
% 0.22/0.43 % (945)Time elapsed: 0.009 s
% 0.22/0.43 % (945)Instructions burned: 16 (million)
% 0.22/0.43 % (945)------------------------------
% 0.22/0.43 % (945)------------------------------
% 0.22/0.43 % (948)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 % (948)Instruction limit reached!
% 0.22/0.44 % (948)------------------------------
% 0.22/0.44 % (948)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (948)Termination reason: Unknown
% 0.22/0.44 % (948)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (948)Memory used [KB]: 1407
% 0.22/0.44 % (948)Time elapsed: 0.005 s
% 0.22/0.44 % (948)Instructions burned: 8 (million)
% 0.22/0.44 % (948)------------------------------
% 0.22/0.44 % (948)------------------------------
% 0.22/0.44 % (950)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 % (951)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 % (950)Instruction limit reached!
% 0.22/0.44 % (950)------------------------------
% 0.22/0.44 % (950)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (950)Termination reason: Unknown
% 0.22/0.44 % (950)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (950)Memory used [KB]: 1279
% 0.22/0.44 % (950)Time elapsed: 0.004 s
% 0.22/0.44 % (950)Instructions burned: 4 (million)
% 0.22/0.44 % (950)------------------------------
% 0.22/0.44 % (950)------------------------------
% 0.22/0.44 % (949)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 % (949)Instruction limit reached!
% 0.22/0.44 % (949)------------------------------
% 0.22/0.44 % (949)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (949)Termination reason: Unknown
% 0.22/0.44 % (949)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (949)Memory used [KB]: 1279
% 0.22/0.44 % (949)Time elapsed: 0.004 s
% 0.22/0.44 % (949)Instructions burned: 4 (million)
% 0.22/0.44 % (949)------------------------------
% 0.22/0.44 % (949)------------------------------
% 0.22/0.45 % (962)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)
% 0.22/0.45 % (951)Instruction limit reached!
% 0.22/0.45 % (951)------------------------------
% 0.22/0.45 % (951)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (951)Termination reason: Unknown
% 0.22/0.45 % (951)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (951)Memory used [KB]: 1535
% 0.22/0.45 % (951)Time elapsed: 0.012 s
% 0.22/0.45 % (951)Instructions burned: 19 (million)
% 0.22/0.45 % (951)------------------------------
% 0.22/0.45 % (951)------------------------------
% 0.22/0.45 % (930)Instruction limit reached!
% 0.22/0.45 % (930)------------------------------
% 0.22/0.45 % (930)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (930)Termination reason: Unknown
% 0.22/0.45 % (930)Termination phase: Function definition elimination
% 0.22/0.45
% 0.22/0.45 % (930)Memory used [KB]: 1918
% 0.22/0.45 % (930)Time elapsed: 0.059 s
% 0.22/0.45 % (930)Instructions burned: 183 (million)
% 0.22/0.45 % (930)------------------------------
% 0.22/0.45 % (930)------------------------------
% 0.22/0.45 % (961)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (963)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)
% 0.22/0.45 % (952)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 % (961)Instruction limit reached!
% 0.22/0.45 % (961)------------------------------
% 0.22/0.45 % (961)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (961)Termination reason: Unknown
% 0.22/0.45 % (961)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (961)Memory used [KB]: 1407
% 0.22/0.45 % (961)Time elapsed: 0.005 s
% 0.22/0.45 % (961)Instructions burned: 7 (million)
% 0.22/0.45 % (961)------------------------------
% 0.22/0.45 % (961)------------------------------
% 0.22/0.46 % (965)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.46 % (965)Instruction limit reached!
% 0.22/0.46 % (965)------------------------------
% 0.22/0.46 % (965)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (965)Termination reason: Unknown
% 0.22/0.46 % (965)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (965)Memory used [KB]: 1279
% 0.22/0.46 % (965)Time elapsed: 0.005 s
% 0.22/0.46 % (965)Instructions burned: 5 (million)
% 0.22/0.46 % (965)------------------------------
% 0.22/0.46 % (965)------------------------------
% 0.22/0.46 % (963)Instruction limit reached!
% 0.22/0.46 % (963)------------------------------
% 0.22/0.46 % (963)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (963)Termination reason: Unknown
% 0.22/0.46 % (963)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (963)Memory used [KB]: 1535
% 0.22/0.46 % (963)Time elapsed: 0.011 s
% 0.22/0.46 % (963)Instructions burned: 21 (million)
% 0.22/0.46 % (963)------------------------------
% 0.22/0.46 % (963)------------------------------
% 0.22/0.46 % (966)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 % (967)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.47 % (966)Instruction limit reached!
% 0.22/0.47 % (966)------------------------------
% 0.22/0.47 % (966)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (966)Termination reason: Unknown
% 0.22/0.47 % (966)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (966)Memory used [KB]: 1279
% 0.22/0.47 % (966)Time elapsed: 0.005 s
% 0.22/0.47 % (966)Instructions burned: 6 (million)
% 0.22/0.47 % (966)------------------------------
% 0.22/0.47 % (966)------------------------------
% 0.22/0.47 % (969)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)
% 0.22/0.48 % (968)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)
% 0.22/0.48 % (970)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)
% 0.22/0.48 % (971)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.48 % (969)Instruction limit reached!
% 0.22/0.48 % (969)------------------------------
% 0.22/0.48 % (969)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (969)Termination reason: Unknown
% 0.22/0.48 % (969)Termination phase: shuffling
% 0.22/0.48
% 0.22/0.48 % (969)Memory used [KB]: 1535
% 0.22/0.48 % (969)Time elapsed: 0.010 s
% 0.22/0.48 % (969)Instructions burned: 19 (million)
% 0.22/0.48 % (969)------------------------------
% 0.22/0.48 % (969)------------------------------
% 0.22/0.49 % (962)Refutation not found, incomplete strategy
% 0.22/0.49 % (962)------------------------------
% 0.22/0.49 % (962)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (962)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.49
% 0.22/0.49
% 0.22/0.49 % (962)Memory used [KB]: 6396
% 0.22/0.49 % (962)Time elapsed: 0.038 s
% 0.22/0.49 % (962)Instructions burned: 81 (million)
% 0.22/0.49 % (962)------------------------------
% 0.22/0.49 % (962)------------------------------
% 0.22/0.49 % (971)Instruction limit reached!
% 0.22/0.49 % (971)------------------------------
% 0.22/0.49 % (971)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (971)Termination reason: Unknown
% 0.22/0.49 % (971)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (971)Memory used [KB]: 1535
% 0.22/0.49 % (971)Time elapsed: 0.008 s
% 0.22/0.49 % (971)Instructions burned: 17 (million)
% 0.22/0.49 % (971)------------------------------
% 0.22/0.49 % (971)------------------------------
% 0.22/0.49 % (973)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.50 % (974)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)
% 0.22/0.50 % (972)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.50 % (972)Instruction limit reached!
% 0.22/0.50 % (972)------------------------------
% 0.22/0.50 % (972)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (972)Termination reason: Unknown
% 0.22/0.50 % (972)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (972)Memory used [KB]: 1279
% 0.22/0.50 % (972)Time elapsed: 0.003 s
% 0.22/0.50 % (972)Instructions burned: 6 (million)
% 0.22/0.50 % (972)------------------------------
% 0.22/0.50 % (972)------------------------------
% 0.22/0.50 % (973)Instruction limit reached!
% 0.22/0.50 % (973)------------------------------
% 0.22/0.50 % (973)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (973)Termination reason: Unknown
% 0.22/0.50 % (973)Termination phase: Property scanning
% 0.22/0.50
% 0.22/0.50 % (973)Memory used [KB]: 1663
% 0.22/0.50 % (973)Time elapsed: 0.011 s
% 0.22/0.50 % (973)Instructions burned: 32 (million)
% 0.22/0.50 % (973)------------------------------
% 0.22/0.50 % (973)------------------------------
% 0.22/0.51 % (975)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)
% 0.22/0.51 % (976)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)
% 1.13/0.51 % (976)Instruction limit reached!
% 1.13/0.51 % (976)------------------------------
% 1.13/0.51 % (976)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/0.51 % (976)Termination reason: Unknown
% 1.13/0.51 % (976)Termination phase: shuffling
% 1.13/0.51
% 1.13/0.51 % (976)Memory used [KB]: 1279
% 1.13/0.51 % (976)Time elapsed: 0.003 s
% 1.13/0.51 % (976)Instructions burned: 6 (million)
% 1.13/0.51 % (976)------------------------------
% 1.13/0.51 % (976)------------------------------
% 1.13/0.52 % (977)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)
% 1.13/0.53 % (977)Instruction limit reached!
% 1.13/0.53 % (977)------------------------------
% 1.13/0.53 % (977)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/0.53 % (977)Termination reason: Unknown
% 1.13/0.53 % (977)Termination phase: shuffling
% 1.13/0.53
% 1.13/0.53 % (977)Memory used [KB]: 1535
% 1.13/0.53 % (977)Time elapsed: 0.008 s
% 1.13/0.53 % (977)Instructions burned: 21 (million)
% 1.13/0.53 % (977)------------------------------
% 1.13/0.53 % (977)------------------------------
% 1.29/0.54 % (975)Instruction limit reached!
% 1.29/0.54 % (975)------------------------------
% 1.29/0.54 % (975)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.54 % (975)Termination reason: Unknown
% 1.29/0.54 % (975)Termination phase: Function definition elimination
% 1.29/0.54
% 1.29/0.54 % (975)Memory used [KB]: 1918
% 1.29/0.54 % (975)Time elapsed: 0.024 s
% 1.29/0.54 % (975)Instructions burned: 103 (million)
% 1.29/0.54 % (975)------------------------------
% 1.29/0.54 % (975)------------------------------
% 1.29/0.54 % (978)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)
% 1.29/0.54 % (974)Instruction limit reached!
% 1.29/0.54 % (974)------------------------------
% 1.29/0.54 % (974)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.54 % (974)Termination reason: Unknown
% 1.29/0.54 % (974)Termination phase: Function definition elimination
% 1.29/0.54
% 1.29/0.54 % (974)Memory used [KB]: 1918
% 1.29/0.54 % (974)Time elapsed: 0.044 s
% 1.29/0.54 % (974)Instructions burned: 130 (million)
% 1.29/0.54 % (974)------------------------------
% 1.29/0.54 % (974)------------------------------
% 1.29/0.54 % (979)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)
% 1.29/0.55 % (980)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)
% 1.29/0.56 % (980)Instruction limit reached!
% 1.29/0.56 % (980)------------------------------
% 1.29/0.56 % (980)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.56 % (980)Termination reason: Unknown
% 1.29/0.56 % (980)Termination phase: Property scanning
% 1.29/0.56
% 1.29/0.56 % (980)Memory used [KB]: 1663
% 1.29/0.56 % (980)Time elapsed: 0.012 s
% 1.29/0.56 % (980)Instructions burned: 41 (million)
% 1.29/0.56 % (980)------------------------------
% 1.29/0.56 % (980)------------------------------
% 1.29/0.57 % (967)Instruction limit reached!
% 1.29/0.57 % (967)------------------------------
% 1.29/0.57 % (967)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.57 % (967)Termination reason: Unknown
% 1.29/0.57 % (967)Termination phase: Property scanning
% 1.29/0.57
% 1.29/0.57 % (967)Memory used [KB]: 2046
% 1.29/0.57 % (967)Time elapsed: 0.102 s
% 1.29/0.57 % (967)Instructions burned: 379 (million)
% 1.29/0.57 % (967)------------------------------
% 1.29/0.57 % (967)------------------------------
% 1.29/0.57 % (978)Instruction limit reached!
% 1.29/0.57 % (978)------------------------------
% 1.29/0.57 % (978)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.57 % (978)Termination reason: Unknown
% 1.29/0.57 % (978)Termination phase: Function definition elimination
% 1.29/0.57
% 1.29/0.57 % (978)Memory used [KB]: 1791
% 1.29/0.57 % (978)Time elapsed: 0.029 s
% 1.29/0.57 % (978)Instructions burned: 87 (million)
% 1.29/0.57 % (978)------------------------------
% 1.29/0.57 % (978)------------------------------
% 1.29/0.57 % (981)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 (2997ds/448Mi)
% 1.29/0.57 % (979)Instruction limit reached!
% 1.29/0.57 % (979)------------------------------
% 1.29/0.57 % (979)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.57 % (979)Termination reason: Unknown
% 1.29/0.57 % (979)Termination phase: Saturation
% 1.29/0.57
% 1.29/0.57 % (979)Memory used [KB]: 6524
% 1.29/0.57 % (979)Time elapsed: 0.032 s
% 1.29/0.57 % (979)Instructions burned: 107 (million)
% 1.29/0.57 % (979)------------------------------
% 1.29/0.57 % (979)------------------------------
% 1.29/0.58 % (983)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 (2997ds/98Mi)
% 1.29/0.58 % (984)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 (2997ds/507Mi)
% 1.29/0.59 % (982)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 (2997ds/46Mi)
% 1.29/0.61 % (982)Instruction limit reached!
% 1.29/0.61 % (982)------------------------------
% 1.29/0.61 % (982)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.61 % (982)Termination reason: Unknown
% 1.29/0.61 % (982)Termination phase: Property scanning
% 1.29/0.61
% 1.29/0.61 % (982)Memory used [KB]: 1663
% 1.29/0.61 % (982)Time elapsed: 0.021 s
% 1.29/0.61 % (982)Instructions burned: 48 (million)
% 1.29/0.61 % (982)------------------------------
% 1.29/0.61 % (982)------------------------------
% 1.29/0.62 % (983)Instruction limit reached!
% 1.29/0.62 % (983)------------------------------
% 1.29/0.62 % (983)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.62 % (983)Termination reason: Unknown
% 1.29/0.62 % (983)Termination phase: Function definition elimination
% 1.29/0.62
% 1.29/0.62 % (983)Memory used [KB]: 1918
% 1.29/0.62 % (983)Time elapsed: 0.040 s
% 1.29/0.62 % (983)Instructions burned: 99 (million)
% 1.29/0.62 % (983)------------------------------
% 1.29/0.62 % (983)------------------------------
% 1.93/0.63 % (986)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.93/0.64 % (985)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 1.93/0.65 % (986)Instruction limit reached!
% 1.93/0.65 % (986)------------------------------
% 1.93/0.65 % (986)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.65 % (986)Termination reason: Unknown
% 1.93/0.65 % (986)Termination phase: Property scanning
% 1.93/0.65
% 1.93/0.65 % (986)Memory used [KB]: 1663
% 1.93/0.65 % (986)Time elapsed: 0.021 s
% 1.93/0.65 % (986)Instructions burned: 39 (million)
% 1.93/0.65 % (986)------------------------------
% 1.93/0.65 % (986)------------------------------
% 1.93/0.66 % (985)Instruction limit reached!
% 1.93/0.66 % (985)------------------------------
% 1.93/0.66 % (985)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.66 % (985)Termination reason: Unknown
% 1.93/0.66 % (985)Termination phase: Function definition elimination
% 1.93/0.66
% 1.93/0.66 % (985)Memory used [KB]: 1918
% 1.93/0.66 % (985)Time elapsed: 0.029 s
% 1.93/0.66 % (985)Instructions burned: 156 (million)
% 1.93/0.66 % (985)------------------------------
% 1.93/0.66 % (985)------------------------------
% 1.93/0.67 % (987)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2997ds/6Mi)
% 1.93/0.67 % (990)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 1.93/0.67 % (987)Instruction limit reached!
% 1.93/0.67 % (987)------------------------------
% 1.93/0.67 % (987)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.67 % (987)Termination reason: Unknown
% 1.93/0.67 % (987)Termination phase: shuffling
% 1.93/0.67
% 1.93/0.67 % (987)Memory used [KB]: 1407
% 1.93/0.67 % (987)Time elapsed: 0.005 s
% 1.93/0.67 % (987)Instructions burned: 7 (million)
% 1.93/0.67 % (987)------------------------------
% 1.93/0.67 % (987)------------------------------
% 1.93/0.68 % (984)Instruction limit reached!
% 1.93/0.68 % (984)------------------------------
% 1.93/0.68 % (984)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.93/0.68 % (984)Termination reason: Unknown
% 1.93/0.68 % (984)Termination phase: Property scanning
% 1.93/0.68
% 1.93/0.68 % (984)Memory used [KB]: 2046
% 1.93/0.68 % (984)Time elapsed: 0.094 s
% 1.93/0.68 % (984)Instructions burned: 507 (million)
% 1.93/0.68 % (984)------------------------------
% 1.93/0.68 % (984)------------------------------
% 1.93/0.69 % (992)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2996ds/44Mi)
% 2.37/0.69 % (991)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.37/0.69 % (990)Refutation not found, incomplete strategy
% 2.37/0.69 % (990)------------------------------
% 2.37/0.69 % (990)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.69 % (990)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.69
% 2.37/0.69
% 2.37/0.69 % (990)Memory used [KB]: 6268
% 2.37/0.69 % (990)Time elapsed: 0.022 s
% 2.37/0.69 % (990)Instructions burned: 69 (million)
% 2.37/0.69 % (990)------------------------------
% 2.37/0.69 % (990)------------------------------
% 2.37/0.70 % (992)Instruction limit reached!
% 2.37/0.70 % (992)------------------------------
% 2.37/0.70 % (992)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.70 % (992)Termination reason: Unknown
% 2.37/0.70 % (992)Termination phase: SInE selection
% 2.37/0.70
% 2.37/0.70 % (992)Memory used [KB]: 1663
% 2.37/0.70 % (992)Time elapsed: 0.014 s
% 2.37/0.70 % (992)Instructions burned: 44 (million)
% 2.37/0.70 % (992)------------------------------
% 2.37/0.70 % (992)------------------------------
% 2.37/0.70 % (993)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2996ds/432Mi)
% 2.37/0.71 % (994)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2996ds/62Mi)
% 2.37/0.71 % (991)Instruction limit reached!
% 2.37/0.71 % (991)------------------------------
% 2.37/0.71 % (991)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.71 % (991)Termination reason: Unknown
% 2.37/0.71 % (991)Termination phase: Property scanning
% 2.37/0.71
% 2.37/0.71 % (991)Memory used [KB]: 1663
% 2.37/0.71 % (991)Time elapsed: 0.025 s
% 2.37/0.71 % (991)Instructions burned: 48 (million)
% 2.37/0.71 % (991)------------------------------
% 2.37/0.71 % (991)------------------------------
% 2.37/0.72 % (952)Instruction limit reached!
% 2.37/0.72 % (952)------------------------------
% 2.37/0.72 % (952)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.72 % (952)Termination reason: Unknown
% 2.37/0.72 % (952)Termination phase: Saturation
% 2.37/0.72
% 2.37/0.72 % (952)Memory used [KB]: 7291
% 2.37/0.72 % (952)Time elapsed: 0.298 s
% 2.37/0.72 % (952)Instructions burned: 711 (million)
% 2.37/0.72 % (952)------------------------------
% 2.37/0.72 % (952)------------------------------
% 2.37/0.72 % (994)Instruction limit reached!
% 2.37/0.72 % (994)------------------------------
% 2.37/0.72 % (994)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.72 % (994)Termination reason: Unknown
% 2.37/0.72 % (994)Termination phase: Function definition elimination
% 2.37/0.72
% 2.37/0.72 % (994)Memory used [KB]: 1918
% 2.37/0.72 % (994)Time elapsed: 0.019 s
% 2.37/0.72 % (994)Instructions burned: 68 (million)
% 2.37/0.72 % (994)------------------------------
% 2.37/0.72 % (994)------------------------------
% 2.37/0.73 % (996)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2996ds/96Mi)
% 2.37/0.73 % (995)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2996ds/31Mi)
% 2.37/0.73 % (997)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2996ds/453Mi)
% 2.37/0.74 % (995)Instruction limit reached!
% 2.37/0.74 % (995)------------------------------
% 2.37/0.74 % (995)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.74 % (995)Termination reason: Unknown
% 2.37/0.74 % (995)Termination phase: Property scanning
% 2.37/0.74
% 2.37/0.74 % (995)Memory used [KB]: 1663
% 2.37/0.74 % (995)Time elapsed: 0.017 s
% 2.37/0.74 % (995)Instructions burned: 31 (million)
% 2.37/0.74 % (995)------------------------------
% 2.37/0.74 % (995)------------------------------
% 2.37/0.75 % (981)Instruction limit reached!
% 2.37/0.75 % (981)------------------------------
% 2.37/0.75 % (981)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.75 % (981)Termination reason: Unknown
% 2.37/0.75 % (981)Termination phase: Saturation
% 2.37/0.75
% 2.37/0.75 % (981)Memory used [KB]: 7164
% 2.37/0.75 % (981)Time elapsed: 0.174 s
% 2.37/0.75 % (981)Instructions burned: 449 (million)
% 2.37/0.75 % (981)------------------------------
% 2.37/0.75 % (981)------------------------------
% 2.37/0.75 % (996)Instruction limit reached!
% 2.37/0.75 % (996)------------------------------
% 2.37/0.75 % (996)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.37/0.75 % (996)Termination reason: Unknown
% 2.37/0.75 % (996)Termination phase: Function definition elimination
% 2.37/0.75
% 2.37/0.75 % (996)Memory used [KB]: 1791
% 2.37/0.75 % (996)Time elapsed: 0.024 s
% 2.37/0.75 % (996)Instructions burned: 97 (million)
% 2.37/0.75 % (996)------------------------------
% 2.37/0.75 % (996)------------------------------
% 2.98/0.76 % (998)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2996ds/71Mi)
% 2.98/0.77 % (999)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2996ds/83Mi)
% 2.99/0.77 % (993)Instruction limit reached!
% 2.99/0.77 % (993)------------------------------
% 2.99/0.77 % (993)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.77 % (993)Termination reason: Unknown
% 2.99/0.77 % (993)Termination phase: Property scanning
% 2.99/0.77
% 2.99/0.77 % (993)Memory used [KB]: 2046
% 2.99/0.77 % (993)Time elapsed: 0.069 s
% 2.99/0.77 % (993)Instructions burned: 435 (million)
% 2.99/0.77 % (993)------------------------------
% 2.99/0.77 % (993)------------------------------
% 2.99/0.77 % (1000)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2996ds/11Mi)
% 2.99/0.77 % (942)Instruction limit reached!
% 2.99/0.77 % (942)------------------------------
% 2.99/0.77 % (942)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.77 % (942)Termination reason: Unknown
% 2.99/0.77 % (942)Termination phase: Property scanning
% 2.99/0.77
% 2.99/0.77 % (942)Memory used [KB]: 2046
% 2.99/0.77 % (942)Time elapsed: 0.355 s
% 2.99/0.77 % (942)Instructions burned: 1041 (million)
% 2.99/0.77 % (942)------------------------------
% 2.99/0.77 % (942)------------------------------
% 2.99/0.77 % (1000)Instruction limit reached!
% 2.99/0.77 % (1000)------------------------------
% 2.99/0.77 % (1000)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.77 % (1000)Termination reason: Unknown
% 2.99/0.77 % (1000)Termination phase: shuffling
% 2.99/0.77
% 2.99/0.77 % (1000)Memory used [KB]: 1535
% 2.99/0.77 % (1000)Time elapsed: 0.005 s
% 2.99/0.77 % (1000)Instructions burned: 11 (million)
% 2.99/0.77 % (1000)------------------------------
% 2.99/0.77 % (1000)------------------------------
% 2.99/0.78 % (1001)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.99/0.78 % (1002)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 2.99/0.78 % (1002)Instruction limit reached!
% 2.99/0.78 % (1002)------------------------------
% 2.99/0.78 % (1002)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.78 % (1002)Termination reason: Unknown
% 2.99/0.78 % (1002)Termination phase: shuffling
% 2.99/0.78
% 2.99/0.78 % (1002)Memory used [KB]: 1407
% 2.99/0.78 % (1002)Time elapsed: 0.004 s
% 2.99/0.78 % (1002)Instructions burned: 9 (million)
% 2.99/0.78 % (1002)------------------------------
% 2.99/0.78 % (1002)------------------------------
% 2.99/0.78 % (1003)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2995ds/150Mi)
% 2.99/0.79 % (1001)Instruction limit reached!
% 2.99/0.79 % (1001)------------------------------
% 2.99/0.79 % (1001)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.79 % (1001)Termination reason: Unknown
% 2.99/0.79 % (1001)Termination phase: Unused predicate definition removal
% 2.99/0.79
% 2.99/0.79 % (1001)Memory used [KB]: 1663
% 2.99/0.79 % (1001)Time elapsed: 0.012 s
% 2.99/0.79 % (1001)Instructions burned: 41 (million)
% 2.99/0.79 % (1001)------------------------------
% 2.99/0.79 % (1001)------------------------------
% 2.99/0.79 % (998)Instruction limit reached!
% 2.99/0.79 % (998)------------------------------
% 2.99/0.79 % (998)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.99/0.79 % (998)Termination reason: Unknown
% 2.99/0.79 % (998)Termination phase: Function definition elimination
% 2.99/0.79
% 2.99/0.79 % (998)Memory used [KB]: 1791
% 2.99/0.79 % (998)Time elapsed: 0.033 s
% 2.99/0.79 % (998)Instructions burned: 71 (million)
% 2.99/0.79 % (998)------------------------------
% 2.99/0.79 % (998)------------------------------
% 2.99/0.79 % (1004)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 2.99/0.79 % (1005)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2995ds/109Mi)
% 3.25/0.80 % (999)Instruction limit reached!
% 3.25/0.80 % (999)------------------------------
% 3.25/0.80 % (999)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.80 % (968)Instruction limit reached!
% 3.25/0.80 % (968)------------------------------
% 3.25/0.80 % (968)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.80 % (968)Termination reason: Unknown
% 3.25/0.80 % (968)Termination phase: Saturation
% 3.25/0.80
% 3.25/0.80 % (968)Memory used [KB]: 7547
% 3.25/0.80 % (968)Time elapsed: 0.355 s
% 3.25/0.80 % (968)Instructions burned: 779 (million)
% 3.25/0.80 % (968)------------------------------
% 3.25/0.80 % (968)------------------------------
% 3.25/0.80 % (999)Termination reason: Unknown
% 3.25/0.80 % (999)Termination phase: Saturation
% 3.25/0.80
% 3.25/0.80 % (999)Memory used [KB]: 6268
% 3.25/0.80 % (999)Time elapsed: 0.066 s
% 3.25/0.80 % (999)Instructions burned: 83 (million)
% 3.25/0.80 % (999)------------------------------
% 3.25/0.80 % (999)------------------------------
% 3.25/0.81 % (1006)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2995ds/253Mi)
% 3.25/0.81 % (997)Instruction limit reached!
% 3.25/0.81 % (997)------------------------------
% 3.25/0.81 % (997)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.81 % (997)Termination reason: Unknown
% 3.25/0.81 % (997)Termination phase: Property scanning
% 3.25/0.81
% 3.25/0.81 % (997)Memory used [KB]: 2046
% 3.25/0.81 % (997)Time elapsed: 0.080 s
% 3.25/0.81 % (997)Instructions burned: 454 (million)
% 3.25/0.81 % (997)------------------------------
% 3.25/0.81 % (997)------------------------------
% 3.25/0.82 % (1008)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2995ds/614Mi)
% 3.25/0.82 % (1005)Instruction limit reached!
% 3.25/0.82 % (1005)------------------------------
% 3.25/0.82 % (1005)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.82 % (1005)Termination reason: Unknown
% 3.25/0.82 % (1005)Termination phase: Function definition elimination
% 3.25/0.82
% 3.25/0.82 % (1005)Memory used [KB]: 1791
% 3.25/0.82 % (1005)Time elapsed: 0.024 s
% 3.25/0.82 % (1005)Instructions burned: 109 (million)
% 3.25/0.82 % (1005)------------------------------
% 3.25/0.82 % (1005)------------------------------
% 3.25/0.82 % (1007)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2995ds/140Mi)
% 3.25/0.82 % (1009)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2995ds/202Mi)
% 3.25/0.82 % (1010)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2995ds/339Mi)
% 3.25/0.83 % (970)Refutation not found, non-redundant clauses discarded% (970)------------------------------
% 3.25/0.83 % (970)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.83 % (970)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.25/0.83
% 3.25/0.83 % (970)Memory used [KB]: 7291
% 3.25/0.83 % (970)Time elapsed: 0.350 s
% 3.25/0.83 % (970)Instructions burned: 787 (million)
% 3.25/0.83 % (970)------------------------------
% 3.25/0.83 % (970)------------------------------
% 3.25/0.83 % (1006)Refutation not found, incomplete strategy
% 3.25/0.83 % (1006)------------------------------
% 3.25/0.83 % (1006)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.25/0.83 % (1006)Termination reason: Refutation not found, incomplete strategy
% 3.25/0.83
% 3.25/0.83
% 3.25/0.83 % (1006)Memory used [KB]: 6140
% 3.25/0.83 % (1006)Time elapsed: 0.047 s
% 3.25/0.83 % (1006)Instructions burned: 44 (million)
% 3.25/0.83 % (1006)------------------------------
% 3.25/0.83 % (1006)------------------------------
% 3.45/0.83 % (1003)Instruction limit reached!
% 3.45/0.83 % (1003)------------------------------
% 3.45/0.83 % (1003)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.83 % (1003)Termination reason: Unknown
% 3.45/0.83 % (1003)Termination phase: Function definition elimination
% 3.45/0.83
% 3.45/0.83 % (1003)Memory used [KB]: 1918
% 3.45/0.83 % (1003)Time elapsed: 0.049 s
% 3.45/0.83 % (1003)Instructions burned: 152 (million)
% 3.45/0.83 % (1003)------------------------------
% 3.45/0.83 % (1003)------------------------------
% 3.45/0.83 % (1009)Refutation not found, incomplete strategy
% 3.45/0.83 % (1009)------------------------------
% 3.45/0.83 % (1009)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.83 % (1009)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.83
% 3.45/0.83
% 3.45/0.83 % (1009)Memory used [KB]: 6140
% 3.45/0.83 % (1009)Time elapsed: 0.015 s
% 3.45/0.83 % (1009)Instructions burned: 45 (million)
% 3.45/0.83 % (1009)------------------------------
% 3.45/0.83 % (1009)------------------------------
% 3.45/0.84 % (1007)Refutation not found, incomplete strategy
% 3.45/0.84 % (1007)------------------------------
% 3.45/0.84 % (1007)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.84 % (1007)Termination reason: Refutation not found, incomplete strategy
% 3.45/0.84
% 3.45/0.84
% 3.45/0.84 % (1007)Memory used [KB]: 6140
% 3.45/0.84 % (1007)Time elapsed: 0.045 s
% 3.45/0.84 % (1007)Instructions burned: 50 (million)
% 3.45/0.84 % (1007)------------------------------
% 3.45/0.84 % (1007)------------------------------
% 3.45/0.84 % (1016)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=283:si=on:rtra=on_0 on theBenchmark for (2995ds/283Mi)
% 3.45/0.84 % (1024)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2995ds/298Mi)
% 3.45/0.84 % (1023)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2995ds/134Mi)
% 3.45/0.85 % (1025)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2995ds/192Mi)
% 3.45/0.87 % (1026)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2995ds/258Mi)
% 3.45/0.88 % (1010)Instruction limit reached!
% 3.45/0.88 % (1010)------------------------------
% 3.45/0.88 % (1010)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.88 % (1010)Termination reason: Unknown
% 3.45/0.88 % (1010)Termination phase: Function definition elimination
% 3.45/0.88
% 3.45/0.88 % (1010)Memory used [KB]: 1918
% 3.45/0.88 % (1010)Time elapsed: 0.053 s
% 3.45/0.88 % (1010)Instructions burned: 339 (million)
% 3.45/0.88 % (1010)------------------------------
% 3.45/0.88 % (1010)------------------------------
% 3.45/0.88 % (1023)Instruction limit reached!
% 3.45/0.88 % (1023)------------------------------
% 3.45/0.88 % (1023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.88 % (1023)Termination reason: Unknown
% 3.45/0.88 % (1023)Termination phase: Function definition elimination
% 3.45/0.88
% 3.45/0.88 % (1023)Memory used [KB]: 1918
% 3.45/0.88 % (1023)Time elapsed: 0.041 s
% 3.45/0.88 % (1023)Instructions burned: 141 (million)
% 3.45/0.88 % (1023)------------------------------
% 3.45/0.88 % (1023)------------------------------
% 3.45/0.88 % (1028)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.45/0.89 % (1029)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2994ds/231Mi)
% 3.45/0.89 % (1004)Instruction limit reached!
% 3.45/0.89 % (1004)------------------------------
% 3.45/0.89 % (1004)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.89 % (1004)Termination reason: Unknown
% 3.45/0.89 % (1004)Termination phase: Saturation
% 3.45/0.89
% 3.45/0.89 % (1004)Memory used [KB]: 7036
% 3.45/0.89 % (1004)Time elapsed: 0.103 s
% 3.45/0.89 % (1004)Instructions burned: 345 (million)
% 3.45/0.89 % (1004)------------------------------
% 3.45/0.89 % (1004)------------------------------
% 3.45/0.90 % (1024)Instruction limit reached!
% 3.45/0.90 % (1024)------------------------------
% 3.45/0.90 % (1024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.90 % (1024)Termination reason: Unknown
% 3.45/0.90 % (1024)Termination phase: Function definition elimination
% 3.45/0.90
% 3.45/0.90 % (1024)Memory used [KB]: 2046
% 3.45/0.90 % (1024)Time elapsed: 0.055 s
% 3.45/0.90 % (1024)Instructions burned: 298 (million)
% 3.45/0.90 % (1024)------------------------------
% 3.45/0.90 % (1024)------------------------------
% 3.45/0.90 % (1030)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2994ds/458Mi)
% 3.45/0.90 % (1028)Instruction limit reached!
% 3.45/0.90 % (1028)------------------------------
% 3.45/0.90 % (1028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.90 % (1028)Termination reason: Unknown
% 3.45/0.90 % (1028)Termination phase: Function definition elimination
% 3.45/0.90
% 3.45/0.90 % (1028)Memory used [KB]: 1791
% 3.45/0.90 % (1028)Time elapsed: 0.022 s
% 3.45/0.90 % (1028)Instructions burned: 98 (million)
% 3.45/0.90 % (1028)------------------------------
% 3.45/0.90 % (1028)------------------------------
% 3.45/0.91 % (1025)Instruction limit reached!
% 3.45/0.91 % (1025)------------------------------
% 3.45/0.91 % (1025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.91 % (1025)Termination reason: Unknown
% 3.45/0.91 % (1025)Termination phase: Function definition elimination
% 3.45/0.91
% 3.45/0.91 % (1025)Memory used [KB]: 1918
% 3.45/0.91 % (1025)Time elapsed: 0.058 s
% 3.45/0.91 % (1025)Instructions burned: 192 (million)
% 3.45/0.91 % (1025)------------------------------
% 3.45/0.91 % (1025)------------------------------
% 3.45/0.91 % (1031)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 3.45/0.91 % (1033)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2994ds/297Mi)
% 3.45/0.92 % (1016)Instruction limit reached!
% 3.45/0.92 % (1016)------------------------------
% 3.45/0.92 % (1016)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.45/0.92 % (1016)Termination reason: Unknown
% 3.45/0.92 % (1016)Termination phase: Function definition elimination
% 3.45/0.92
% 3.45/0.92 % (1016)Memory used [KB]: 2046
% 3.45/0.92 % (1016)Time elapsed: 0.081 s
% 3.45/0.92 % (1016)Instructions burned: 285 (million)
% 3.45/0.92 % (1016)------------------------------
% 3.45/0.92 % (1016)------------------------------
% 3.45/0.92 % (1034)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2994ds/987Mi)
% 4.09/0.92 % (1031)Instruction limit reached!
% 4.09/0.92 % (1031)------------------------------
% 4.09/0.92 % (1031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.09/0.92 % (1031)Termination reason: Unknown
% 4.09/0.92 % (1031)Termination phase: Property scanning
% 4.09/0.92
% 4.09/0.92 % (1031)Memory used [KB]: 1663
% 4.09/0.92 % (1031)Time elapsed: 0.016 s
% 4.09/0.93 % (1031)Instructions burned: 32 (million)
% 4.09/0.93 % (1031)------------------------------
% 4.09/0.93 % (1031)------------------------------
% 4.09/0.93 % (1029)Instruction limit reached!
% 4.09/0.93 % (1029)------------------------------
% 4.09/0.93 % (1029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.09/0.93 % (1029)Termination reason: Unknown
% 4.09/0.93 % (1029)Termination phase: Function definition elimination
% 4.09/0.93
% 4.09/0.93 % (1029)Memory used [KB]: 1918
% 4.09/0.93 % (1029)Time elapsed: 0.039 s
% 4.09/0.93 % (1029)Instructions burned: 235 (million)
% 4.09/0.93 % (1029)------------------------------
% 4.09/0.93 % (1029)------------------------------
% 4.09/0.94 % (1035)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 4.09/0.94 % (1037)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2994ds/154Mi)
% 4.09/0.94 % (1036)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2994ds/182Mi)
% 4.09/0.97 % (1037)Instruction limit reached!
% 4.09/0.97 % (1037)------------------------------
% 4.09/0.97 % (1037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.09/0.97 % (1037)Termination reason: Unknown
% 4.09/0.97 % (1037)Termination phase: Function definition elimination
% 4.09/0.97
% 4.09/0.97 % (1037)Memory used [KB]: 1918
% 4.09/0.97 % (1037)Time elapsed: 0.030 s
% 4.09/0.97 % (1037)Instructions burned: 158 (million)
% 4.09/0.97 % (1037)------------------------------
% 4.09/0.97 % (1037)------------------------------
% 4.09/0.97 % (1044)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2993ds/79Mi)
% 4.09/0.98 % (1030)Instruction limit reached!
% 4.09/0.98 % (1030)------------------------------
% 4.09/0.98 % (1030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.09/0.98 % (1030)Termination reason: Unknown
% 4.09/0.98 % (1030)Termination phase: Property scanning
% 4.09/0.98
% 4.09/0.98 % (1030)Memory used [KB]: 2046
% 4.09/0.98 % (1030)Time elapsed: 0.076 s
% 4.09/0.98 % (1030)Instructions burned: 459 (million)
% 4.09/0.98 % (1030)------------------------------
% 4.09/0.98 % (1030)------------------------------
% 4.09/0.99 % (1026)Instruction limit reached!
% 4.09/0.99 % (1026)------------------------------
% 4.09/0.99 % (1026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.09/0.99 % (1026)Termination reason: Unknown
% 4.09/0.99 % (1026)Termination phase: Saturation
% 4.09/0.99
% 4.09/0.99 % (1026)Memory used [KB]: 6780
% 4.09/0.99 % (1026)Time elapsed: 0.117 s
% 4.09/0.99 % (1026)Instructions burned: 258 (million)
% 4.09/0.99 % (1026)------------------------------
% 4.09/0.99 % (1026)------------------------------
% 4.09/0.99 % (1045)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2993ds/216Mi)
% 4.41/0.99 % (1035)Instruction limit reached!
% 4.41/0.99 % (1035)------------------------------
% 4.41/0.99 % (1035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/0.99 % (1035)Termination reason: Unknown
% 4.41/0.99 % (1035)Termination phase: Function definition elimination
% 4.41/0.99
% 4.41/0.99 % (1035)Memory used [KB]: 1918
% 4.41/0.99 % (1035)Time elapsed: 0.057 s
% 4.41/0.99 % (1035)Instructions burned: 184 (million)
% 4.41/0.99 % (1035)------------------------------
% 4.41/0.99 % (1035)------------------------------
% 4.41/0.99 % (1044)Instruction limit reached!
% 4.41/0.99 % (1044)------------------------------
% 4.41/0.99 % (1044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/0.99 % (1044)Termination reason: Unknown
% 4.41/0.99 % (1044)Termination phase: Function definition elimination
% 4.41/0.99
% 4.41/0.99 % (1044)Memory used [KB]: 1791
% 4.41/0.99 % (1044)Time elapsed: 0.020 s
% 4.41/0.99 % (1044)Instructions burned: 80 (million)
% 4.41/0.99 % (1044)------------------------------
% 4.41/0.99 % (1044)------------------------------
% 4.41/1.00 % (1046)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2993ds/114Mi)
% 4.41/1.00 % (1033)Instruction limit reached!
% 4.41/1.00 % (1033)------------------------------
% 4.41/1.00 % (1033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.00 % (1033)Termination reason: Unknown
% 4.41/1.00 % (1033)Termination phase: Saturation
% 4.41/1.00
% 4.41/1.00 % (1033)Memory used [KB]: 6908
% 4.41/1.00 % (1033)Time elapsed: 0.091 s
% 4.41/1.00 % (1033)Instructions burned: 298 (million)
% 4.41/1.00 % (1033)------------------------------
% 4.41/1.00 % (1033)------------------------------
% 4.41/1.00 % (1048)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2993ds/182Mi)
% 4.41/1.00 % (1008)Instruction limit reached!
% 4.41/1.00 % (1008)------------------------------
% 4.41/1.00 % (1008)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.00 % (1008)Termination reason: Unknown
% 4.41/1.00 % (1008)Termination phase: Property scanning
% 4.41/1.00
% 4.41/1.00 % (1008)Memory used [KB]: 2046
% 4.41/1.00 % (1008)Time elapsed: 0.188 s
% 4.41/1.00 % (1008)Instructions burned: 614 (million)
% 4.41/1.00 % (1008)------------------------------
% 4.41/1.00 % (1008)------------------------------
% 4.41/1.00 % (1047)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2993ds/922Mi)
% 4.41/1.01 % (1049)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2993ds/164Mi)
% 4.41/1.02 % (1050)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2993ds/50Mi)
% 4.41/1.03 % (1049)Refutation not found, incomplete strategy
% 4.41/1.03 % (1049)------------------------------
% 4.41/1.03 % (1049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.03 % (1049)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.03
% 4.41/1.03
% 4.41/1.03 % (1049)Memory used [KB]: 1663
% 4.41/1.03 % (1049)Time elapsed: 0.016 s
% 4.41/1.03 % (1049)Instructions burned: 54 (million)
% 4.41/1.03 % (1049)------------------------------
% 4.41/1.03 % (1049)------------------------------
% 4.41/1.03 % (1036)Instruction limit reached!
% 4.41/1.03 % (1036)------------------------------
% 4.41/1.03 % (1036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.03 % (1036)Termination reason: Unknown
% 4.41/1.03 % (1036)Termination phase: Saturation
% 4.41/1.03
% 4.41/1.03 % (1036)Memory used [KB]: 6524
% 4.41/1.03 % (1036)Time elapsed: 0.089 s
% 4.41/1.03 % (1036)Instructions burned: 182 (million)
% 4.41/1.03 % (1036)------------------------------
% 4.41/1.03 % (1036)------------------------------
% 4.41/1.03 % (1047)Refutation not found, incomplete strategy
% 4.41/1.03 % (1047)------------------------------
% 4.41/1.03 % (1047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.03 % (1047)Termination reason: Refutation not found, incomplete strategy
% 4.41/1.03
% 4.41/1.03
% 4.41/1.03 % (1047)Memory used [KB]: 6396
% 4.41/1.03 % (1047)Time elapsed: 0.028 s
% 4.41/1.03 % (1047)Instructions burned: 55 (million)
% 4.41/1.03 % (1047)------------------------------
% 4.41/1.03 % (1047)------------------------------
% 4.41/1.03 % (1048)Instruction limit reached!
% 4.41/1.03 % (1048)------------------------------
% 4.41/1.03 % (1048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.03 % (1048)Termination reason: Unknown
% 4.41/1.03 % (1048)Termination phase: Function definition elimination
% 4.41/1.03
% 4.41/1.03 % (1048)Memory used [KB]: 1918
% 4.41/1.03 % (1048)Time elapsed: 0.033 s
% 4.41/1.03 % (1048)Instructions burned: 189 (million)
% 4.41/1.03 % (1048)------------------------------
% 4.41/1.03 % (1048)------------------------------
% 4.41/1.03 % (1051)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2993ds/368Mi)
% 4.41/1.04 % (1046)Instruction limit reached!
% 4.41/1.04 % (1046)------------------------------
% 4.41/1.04 % (1046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.04 % (1046)Termination reason: Unknown
% 4.41/1.04 % (1046)Termination phase: Function definition elimination
% 4.41/1.04
% 4.41/1.04 % (1046)Memory used [KB]: 1918
% 4.41/1.04 % (1046)Time elapsed: 0.040 s
% 4.41/1.04 % (1046)Instructions burned: 116 (million)
% 4.41/1.04 % (1046)------------------------------
% 4.41/1.04 % (1046)------------------------------
% 4.41/1.04 % (1050)Instruction limit reached!
% 4.41/1.04 % (1050)------------------------------
% 4.41/1.04 % (1050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.04 % (1050)Termination reason: Unknown
% 4.41/1.04 % (1050)Termination phase: Property scanning
% 4.41/1.04
% 4.41/1.04 % (1050)Memory used [KB]: 1663
% 4.41/1.04 % (1050)Time elapsed: 0.023 s
% 4.41/1.04 % (1050)Instructions burned: 50 (million)
% 4.41/1.04 % (1050)------------------------------
% 4.41/1.04 % (1050)------------------------------
% 4.41/1.04 % (1052)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2993ds/1021Mi)
% 4.41/1.04 % (1054)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2993ds/204Mi)
% 4.41/1.04 % (1053)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2993ds/267Mi)
% 4.41/1.05 % (1055)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2993ds/26Mi)
% 4.41/1.05 % (1056)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2993ds/53Mi)
% 4.41/1.05 % (1045)Instruction limit reached!
% 4.41/1.05 % (1045)------------------------------
% 4.41/1.05 % (1045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.41/1.05 % (1045)Termination reason: Unknown
% 4.41/1.05 % (1045)Termination phase: Saturation
% 4.41/1.05
% 4.41/1.05 % (1045)Memory used [KB]: 7036
% 4.41/1.05 % (1045)Time elapsed: 0.069 s
% 4.41/1.05 % (1045)Instructions burned: 218 (million)
% 4.41/1.05 % (1045)------------------------------
% 4.41/1.05 % (1045)------------------------------
% 5.15/1.06 % (1055)Instruction limit reached!
% 5.15/1.06 % (1055)------------------------------
% 5.15/1.06 % (1055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.15/1.06 % (1055)Termination reason: Unknown
% 5.15/1.06 % (1055)Termination phase: Property scanning
% 5.15/1.06
% 5.15/1.06 % (1057)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2993ds/4436Mi)
% 5.15/1.06 % (1055)Memory used [KB]: 1663
% 5.15/1.06 % (1055)Time elapsed: 0.013 s
% 5.15/1.06 % (1055)Instructions burned: 26 (million)
% 5.15/1.06 % (1055)------------------------------
% 5.15/1.06 % (1055)------------------------------
% 5.15/1.07 % (1056)Instruction limit reached!
% 5.15/1.07 % (1056)------------------------------
% 5.15/1.07 % (1056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.15/1.07 % (1056)Termination reason: Unknown
% 5.15/1.07 % (1056)Termination phase: Property scanning
% 5.15/1.07
% 5.15/1.08 % (1056)Memory used [KB]: 1663
% 5.15/1.08 % (1056)Time elapsed: 0.024 s
% 5.15/1.08 % (1056)Instructions burned: 54 (million)
% 5.15/1.08 % (1056)------------------------------
% 5.15/1.08 % (1056)------------------------------
% 5.51/1.08 % (1054)Instruction limit reached!
% 5.51/1.08 % (1054)------------------------------
% 5.51/1.08 % (1054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.51/1.08 % (1054)Termination reason: Unknown
% 5.51/1.08 % (1054)Termination phase: Function definition elimination
% 5.51/1.08
% 5.51/1.08 % (1054)Memory used [KB]: 1918
% 5.51/1.08 % (1054)Time elapsed: 0.037 s
% 5.51/1.08 % (1054)Instructions burned: 207 (million)
% 5.51/1.08 % (1054)------------------------------
% 5.51/1.08 % (1054)------------------------------
% 5.51/1.08 % (1058)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2993ds/1539Mi)
% 5.51/1.09 % (1060)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2992ds/5205Mi)
% 5.51/1.09 % (1051)Instruction limit reached!
% 5.51/1.09 % (1051)------------------------------
% 5.51/1.09 % (1051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.51/1.09 % (1051)Termination reason: Unknown
% 5.51/1.09 % (1051)Termination phase: Function definition elimination
% 5.51/1.09
% 5.51/1.09 % (1051)Memory used [KB]: 1918
% 5.51/1.09 % (1051)Time elapsed: 0.056 s
% 5.51/1.09 % (1051)Instructions burned: 368 (million)
% 5.51/1.09 % (1051)------------------------------
% 5.51/1.09 % (1051)------------------------------
% 5.51/1.09 % (1059)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2992ds/408Mi)
% 5.51/1.09 % (1057)Refutation not found, incomplete strategy
% 5.51/1.09 % (1057)------------------------------
% 5.51/1.09 % (1057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.51/1.09 % (1057)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.09
% 5.51/1.09
% 5.51/1.09 % (1057)Memory used [KB]: 6268
% 5.51/1.09 % (1057)Time elapsed: 0.044 s
% 5.51/1.09 % (1057)Instructions burned: 70 (million)
% 5.51/1.09 % (1057)------------------------------
% 5.51/1.09 % (1057)------------------------------
% 5.51/1.10 % (1061)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2992ds/1913Mi)
% 5.51/1.10 % (1062)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on theBenchmark for (2992ds/4350Mi)
% 5.73/1.12 % (1053)Instruction limit reached!
% 5.73/1.12 % (1053)------------------------------
% 5.73/1.12 % (1053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.73/1.12 % (1053)Termination reason: Unknown
% 5.73/1.12 % (1053)Termination phase: Function definition elimination
% 5.73/1.12
% 5.73/1.12 % (1053)Memory used [KB]: 1918
% 5.73/1.12 % (1053)Time elapsed: 0.075 s
% 5.73/1.12 % (1053)Instructions burned: 268 (million)
% 5.73/1.12 % (1053)------------------------------
% 5.73/1.12 % (1053)------------------------------
% 5.73/1.13 % (1064)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on theBenchmark for (2992ds/68Mi)
% 5.83/1.16 % (1064)Instruction limit reached!
% 5.83/1.16 % (1064)------------------------------
% 5.83/1.16 % (1064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 5.83/1.16 % (1064)Termination reason: Unknown
% 5.83/1.16 % (1064)Termination phase: Function definition elimination
% 5.83/1.16
% 5.83/1.16 % (1064)Memory used [KB]: 1791
% 5.83/1.16 % (1064)Time elapsed: 0.031 s
% 5.83/1.16 % (1064)Instructions burned: 69 (million)
% 5.83/1.16 % (1064)------------------------------
% 5.83/1.16 % (1064)------------------------------
% 5.83/1.18 % (1065)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on theBenchmark for (2992ds/358Mi)
% 6.12/1.26 % (1034)Instruction limit reached!
% 6.12/1.26 % (1034)------------------------------
% 6.12/1.26 % (1034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.12/1.26 % (1034)Termination reason: Unknown
% 6.12/1.26 % (1034)Termination phase: Property scanning
% 6.12/1.26
% 6.12/1.26 % (1034)Memory used [KB]: 2046
% 6.12/1.26 % (1034)Time elapsed: 0.337 s
% 6.12/1.26 % (1034)Instructions burned: 987 (million)
% 6.12/1.26 % (1034)------------------------------
% 6.12/1.26 % (1034)------------------------------
% 6.12/1.27 % (1059)Instruction limit reached!
% 6.12/1.27 % (1059)------------------------------
% 6.12/1.27 % (1059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.12/1.27 % (1059)Termination reason: Unknown
% 6.12/1.27 % (1059)Termination phase: Saturation
% 6.12/1.27
% 6.12/1.27 % (1059)Memory used [KB]: 7291
% 6.12/1.27 % (1059)Time elapsed: 0.202 s
% 6.12/1.27 % (1059)Instructions burned: 409 (million)
% 6.12/1.27 % (1059)------------------------------
% 6.12/1.27 % (1059)------------------------------
% 6.12/1.28 % (1066)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2990ds/31Mi)
% 6.47/1.28 % (1067)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on theBenchmark for (2990ds/279Mi)
% 6.47/1.29 % (1066)Instruction limit reached!
% 6.47/1.29 % (1066)------------------------------
% 6.47/1.29 % (1066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.47/1.29 % (1066)Termination reason: Unknown
% 6.47/1.29 % (1066)Termination phase: Property scanning
% 6.47/1.29
% 6.47/1.29 % (1066)Memory used [KB]: 1663
% 6.47/1.29 % (1066)Time elapsed: 0.016 s
% 6.47/1.29 % (1066)Instructions burned: 31 (million)
% 6.47/1.29 % (1066)------------------------------
% 6.47/1.29 % (1066)------------------------------
% 6.47/1.30 % (1068)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on theBenchmark for (2990ds/258Mi)
% 6.47/1.34 % (1065)Instruction limit reached!
% 6.47/1.34 % (1065)------------------------------
% 6.47/1.34 % (1065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.47/1.34 % (1065)Termination reason: Unknown
% 6.47/1.34 % (1065)Termination phase: Saturation
% 6.47/1.34
% 6.47/1.34 % (1065)Memory used [KB]: 7291
% 6.47/1.34 % (1065)Time elapsed: 0.188 s
% 6.47/1.34 % (1065)Instructions burned: 359 (million)
% 6.47/1.34 % (1065)------------------------------
% 6.47/1.34 % (1065)------------------------------
% 6.83/1.36 % (1069)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2990ds/26Mi)
% 6.86/1.37 % (1069)Instruction limit reached!
% 6.86/1.37 % (1069)------------------------------
% 6.86/1.37 % (1069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.86/1.37 % (1069)Termination reason: Unknown
% 6.86/1.37 % (1069)Termination phase: Property scanning
% 6.86/1.37
% 6.86/1.37 % (1069)Memory used [KB]: 1663
% 6.86/1.37 % (1069)Time elapsed: 0.014 s
% 6.86/1.37 % (1069)Instructions burned: 26 (million)
% 6.86/1.37 % (1069)------------------------------
% 6.86/1.37 % (1069)------------------------------
% 6.86/1.38 % (1070)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on theBenchmark for (2989ds/995Mi)
% 6.86/1.39 % (1052)Instruction limit reached!
% 6.86/1.39 % (1052)------------------------------
% 6.86/1.39 % (1052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.86/1.39 % (1052)Termination reason: Unknown
% 6.86/1.39 % (1052)Termination phase: Property scanning
% 6.86/1.39
% 6.86/1.39 % (1052)Memory used [KB]: 2046
% 6.86/1.39 % (1052)Time elapsed: 0.354 s
% 6.86/1.39 % (1052)Instructions burned: 1023 (million)
% 6.86/1.39 % (1052)------------------------------
% 6.86/1.39 % (1052)------------------------------
% 6.86/1.41 % (1067)Instruction limit reached!
% 6.86/1.41 % (1067)------------------------------
% 6.86/1.41 % (1067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.86/1.41 % (1067)Termination reason: Unknown
% 6.86/1.41 % (1067)Termination phase: Saturation
% 6.86/1.41
% 6.86/1.41 % (1067)Memory used [KB]: 6780
% 6.86/1.41 % (1067)Time elapsed: 0.126 s
% 6.86/1.41 % (1067)Instructions burned: 279 (million)
% 6.86/1.41 % (1067)------------------------------
% 6.86/1.41 % (1067)------------------------------
% 6.86/1.41 % (1071)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on theBenchmark for (2989ds/373Mi)
% 7.10/1.42 % (1072)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on theBenchmark for (2989ds/253Mi)
% 7.10/1.43 % (1068)Instruction limit reached!
% 7.10/1.43 % (1068)------------------------------
% 7.10/1.43 % (1068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.10/1.43 % (1068)Termination reason: Unknown
% 7.10/1.43 % (1068)Termination phase: Saturation
% 7.10/1.43
% 7.10/1.43 % (1068)Memory used [KB]: 7291
% 7.10/1.43 % (1068)Time elapsed: 0.131 s
% 7.10/1.43 % (1068)Instructions burned: 258 (million)
% 7.10/1.43 % (1068)------------------------------
% 7.10/1.43 % (1068)------------------------------
% 7.28/1.45 % (1073)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on theBenchmark for (2989ds/832Mi)
% 7.28/1.48 % (1073)Refutation not found, incomplete strategy
% 7.28/1.48 % (1073)------------------------------
% 7.28/1.48 % (1073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.28/1.48 % (1073)Termination reason: Refutation not found, incomplete strategy
% 7.28/1.48
% 7.28/1.48
% 7.28/1.48 % (1073)Memory used [KB]: 6396
% 7.28/1.48 % (1073)Time elapsed: 0.038 s
% 7.28/1.48 % (1073)Instructions burned: 79 (million)
% 7.28/1.48 % (1073)------------------------------
% 7.28/1.48 % (1073)------------------------------
% 7.28/1.49 % (1072)Instruction limit reached!
% 7.28/1.49 % (1072)------------------------------
% 7.28/1.49 % (1072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.28/1.49 % (1072)Termination reason: Unknown
% 7.28/1.49 % (1072)Termination phase: Function definition elimination
% 7.28/1.49
% 7.28/1.49 % (1072)Memory used [KB]: 1918
% 7.28/1.49 % (1072)Time elapsed: 0.072 s
% 7.28/1.49 % (1072)Instructions burned: 253 (million)
% 7.28/1.49 % (1072)------------------------------
% 7.28/1.49 % (1072)------------------------------
% 7.28/1.50 % (1074)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on theBenchmark for (2988ds/668Mi)
% 7.28/1.50 % (1071)Instruction limit reached!
% 7.28/1.50 % (1071)------------------------------
% 7.28/1.50 % (1071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.28/1.50 % (1071)Termination reason: Unknown
% 7.28/1.50 % (1071)Termination phase: Function definition elimination
% 7.28/1.50
% 7.28/1.50 % (1071)Memory used [KB]: 2046
% 7.28/1.50 % (1071)Time elapsed: 0.096 s
% 7.28/1.50 % (1071)Instructions burned: 373 (million)
% 7.28/1.50 % (1071)------------------------------
% 7.28/1.50 % (1071)------------------------------
% 7.28/1.51 % (1075)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=40:si=on:rtra=on_0 on theBenchmark for (2988ds/40Mi)
% 7.28/1.52 % (1076)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on theBenchmark for (2988ds/294Mi)
% 7.60/1.52 % (1075)Instruction limit reached!
% 7.60/1.52 % (1075)------------------------------
% 7.60/1.52 % (1075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.60/1.52 % (1075)Termination reason: Unknown
% 7.60/1.52 % (1075)Termination phase: Preprocessing 3
% 7.60/1.52
% 7.60/1.52 % (1075)Memory used [KB]: 1663
% 7.60/1.52 % (1075)Time elapsed: 0.019 s
% 7.60/1.53 % (1075)Instructions burned: 41 (million)
% 7.60/1.53 % (1075)------------------------------
% 7.60/1.53 % (1075)------------------------------
% 7.60/1.54 % (1079)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on theBenchmark for (2988ds/187Mi)
% 7.60/1.57 % (1079)Instruction limit reached!
% 7.60/1.57 % (1079)------------------------------
% 7.60/1.57 % (1079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.60/1.57 % (1079)Termination reason: Unknown
% 7.60/1.57 % (1079)Termination phase: Function definition elimination
% 7.60/1.57
% 7.60/1.57 % (1079)Memory used [KB]: 1918
% 7.60/1.57 % (1079)Time elapsed: 0.034 s
% 7.60/1.57 % (1079)Instructions burned: 192 (million)
% 7.60/1.57 % (1079)------------------------------
% 7.60/1.57 % (1079)------------------------------
% 7.72/1.58 % (1080)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on theBenchmark for (2987ds/371Mi)
% 7.72/1.60 % (1080)Refutation not found, incomplete strategy
% 7.72/1.60 % (1080)------------------------------
% 7.72/1.60 % (1080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.72/1.60 % (1080)Termination reason: Refutation not found, incomplete strategy
% 7.72/1.60
% 7.72/1.60
% 7.72/1.60 % (1080)Memory used [KB]: 6268
% 7.72/1.60 % (1080)Time elapsed: 0.023 s
% 7.72/1.60 % (1080)Instructions burned: 72 (million)
% 7.72/1.60 % (1080)------------------------------
% 7.72/1.60 % (1080)------------------------------
% 7.72/1.61 % (1081)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on theBenchmark for (2987ds/1827Mi)
% 7.72/1.63 % (1058)Instruction limit reached!
% 7.72/1.63 % (1058)------------------------------
% 7.72/1.63 % (1058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.72/1.63 % (1058)Termination reason: Unknown
% 7.72/1.63 % (1058)Termination phase: Property scanning
% 7.72/1.63
% 7.72/1.63 % (1058)Memory used [KB]: 2046
% 7.72/1.63 % (1058)Time elapsed: 0.549 s
% 7.72/1.63 % (1058)Instructions burned: 1541 (million)
% 7.72/1.63 % (1058)------------------------------
% 7.72/1.63 % (1058)------------------------------
% 7.72/1.65 % (1076)Instruction limit reached!
% 7.72/1.65 % (1076)------------------------------
% 7.72/1.65 % (1076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.72/1.65 % (1076)Termination reason: Unknown
% 7.72/1.65 % (1076)Termination phase: Saturation
% 7.72/1.65
% 7.72/1.65 % (1076)Memory used [KB]: 6780
% 7.72/1.65 % (1076)Time elapsed: 0.134 s
% 7.72/1.65 % (1076)Instructions burned: 294 (million)
% 7.72/1.65 % (1076)------------------------------
% 7.72/1.65 % (1076)------------------------------
% 7.72/1.65 % (1082)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on theBenchmark for (2987ds/70Mi)
% 10.14/1.68 % (1083)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on theBenchmark for (2987ds/316Mi)
% 10.28/1.68 % (1082)Instruction limit reached!
% 10.28/1.68 % (1082)------------------------------
% 10.28/1.68 % (1082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.28/1.68 % (1082)Termination reason: Unknown
% 10.28/1.68 % (1082)Termination phase: Function definition elimination
% 10.28/1.68
% 10.28/1.68 % (1082)Memory used [KB]: 1918
% 10.28/1.68 % (1082)Time elapsed: 0.031 s
% 10.28/1.68 % (1082)Instructions burned: 70 (million)
% 10.28/1.68 % (1082)------------------------------
% 10.28/1.68 % (1082)------------------------------
% 10.28/1.69 % (1074)Instruction limit reached!
% 10.28/1.69 % (1074)------------------------------
% 10.28/1.69 % (1074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.28/1.69 % (1074)Termination reason: Unknown
% 10.28/1.69 % (1074)Termination phase: Property scanning
% 10.28/1.69
% 10.28/1.69 % (1074)Memory used [KB]: 2046
% 10.28/1.69 % (1074)Time elapsed: 0.190 s
% 10.28/1.69 % (1074)Instructions burned: 671 (million)
% 10.28/1.69 % (1074)------------------------------
% 10.28/1.69 % (1074)------------------------------
% 10.28/1.70 % (1089)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on theBenchmark for (2986ds/4714Mi)
% 10.28/1.70 % (1061)Instruction limit reached!
% 10.28/1.70 % (1061)------------------------------
% 10.28/1.70 % (1061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.28/1.70 % (1061)Termination reason: Unknown
% 10.28/1.70 % (1061)Termination phase: Saturation
% 10.28/1.70
% 10.28/1.70 % (1061)Memory used [KB]: 4733
% 10.28/1.70 % (1061)Time elapsed: 0.604 s
% 10.28/1.70 % (1061)Instructions burned: 1913 (million)
% 10.28/1.70 % (1061)------------------------------
% 10.28/1.70 % (1061)------------------------------
% 10.28/1.71 % (1093)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on theBenchmark for (2986ds/8250Mi)
% 10.28/1.71 % (1088)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on theBenchmark for (2986ds/932Mi)
% 10.28/1.72 % (1070)Instruction limit reached!
% 10.28/1.72 % (1070)------------------------------
% 10.28/1.72 % (1070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.28/1.72 % (1070)Termination reason: Unknown
% 10.28/1.72 % (1070)Termination phase: Property scanning
% 10.28/1.72
% 10.28/1.72 % (1070)Memory used [KB]: 2046
% 10.28/1.72 % (1070)Time elapsed: 0.337 s
% 10.28/1.72 % (1070)Instructions burned: 997 (million)
% 10.28/1.72 % (1070)------------------------------
% 10.28/1.72 % (1070)------------------------------
% 10.53/1.73 % (1083)Instruction limit reached!
% 10.53/1.73 % (1083)------------------------------
% 10.53/1.73 % (1083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 10.53/1.73 % (1083)Termination reason: Unknown
% 10.53/1.73 % (1083)Termination phase: Function definition elimination
% 10.53/1.73
% 10.53/1.73 % (1083)Memory used [KB]: 2046
% 10.53/1.73 % (1083)Time elapsed: 0.055 s
% 10.53/1.73 % (1083)Instructions burned: 316 (million)
% 10.53/1.73 % (1083)------------------------------
% 10.53/1.73 % (1083)------------------------------
% 10.53/1.74 % (1095)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on theBenchmark for (2986ds/794Mi)
% 10.53/1.74 % (1094)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on theBenchmark for (2986ds/770Mi)
% 11.00/1.89 % (1095)Instruction limit reached!
% 11.00/1.89 % (1095)------------------------------
% 11.00/1.89 % (1095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.00/1.89 % (1095)Termination reason: Unknown
% 11.00/1.89 % (1095)Termination phase: Property scanning
% 11.00/1.89
% 11.00/1.89 % (1095)Memory used [KB]: 2046
% 11.00/1.89 % (1095)Time elapsed: 0.153 s
% 11.00/1.89 % (1095)Instructions burned: 795 (million)
% 11.00/1.89 % (1095)------------------------------
% 11.00/1.89 % (1095)------------------------------
% 11.00/1.90 % (1096)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on theBenchmark for (2984ds/464Mi)
% 11.41/1.97 % (1096)Instruction limit reached!
% 11.41/1.97 % (1096)------------------------------
% 11.41/1.97 % (1096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.41/1.97 % (1096)Termination reason: Unknown
% 11.41/1.97 % (1096)Termination phase: Property scanning
% 11.41/1.97
% 11.41/1.97 % (1096)Memory used [KB]: 2046
% 11.41/1.97 % (1096)Time elapsed: 0.078 s
% 11.41/1.97 % (1096)Instructions burned: 464 (million)
% 11.41/1.97 % (1096)------------------------------
% 11.41/1.97 % (1096)------------------------------
% 11.58/1.98 % (1097)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on theBenchmark for (2983ds/1376Mi)
% 11.73/2.03 % (1088)Instruction limit reached!
% 11.73/2.03 % (1088)------------------------------
% 11.73/2.03 % (1088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.73/2.03 % (1088)Termination reason: Unknown
% 11.73/2.03 % (1088)Termination phase: Property scanning
% 11.73/2.03
% 11.73/2.03 % (1088)Memory used [KB]: 2046
% 11.73/2.03 % (1088)Time elapsed: 0.316 s
% 11.73/2.03 % (1088)Instructions burned: 933 (million)
% 11.73/2.03 % (1088)------------------------------
% 11.73/2.03 % (1088)------------------------------
% 12.09/2.04 % (1098)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on theBenchmark for (2983ds/906Mi)
% 12.09/2.06 % (1094)Instruction limit reached!
% 12.09/2.06 % (1094)------------------------------
% 12.09/2.06 % (1094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.09/2.06 % (1094)Termination reason: Unknown
% 12.09/2.06 % (1094)Termination phase: Saturation
% 12.09/2.06
% 12.09/2.06 % (1094)Memory used [KB]: 10746
% 12.09/2.06 % (1094)Time elapsed: 0.327 s
% 12.09/2.06 % (1094)Instructions burned: 770 (million)
% 12.09/2.06 % (1094)------------------------------
% 12.09/2.06 % (1094)------------------------------
% 12.09/2.07 % (1099)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on theBenchmark for (2983ds/434Mi)
% 14.12/2.25 % (1099)Instruction limit reached!
% 14.12/2.25 % (1099)------------------------------
% 14.12/2.25 % (1099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.12/2.25 % (1099)Termination reason: Unknown
% 14.12/2.25 % (1099)Termination phase: Saturation
% 14.12/2.25
% 14.12/2.25 % (1099)Memory used [KB]: 6908
% 14.12/2.25 % (1099)Time elapsed: 0.185 s
% 14.12/2.25 % (1099)Instructions burned: 436 (million)
% 14.12/2.25 % (1099)------------------------------
% 14.12/2.25 % (1099)------------------------------
% 14.12/2.26 % (1108)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on theBenchmark for (2981ds/865Mi)
% 14.78/2.28 % (1108)Refutation not found, incomplete strategy
% 14.78/2.28 % (1108)------------------------------
% 14.78/2.28 % (1108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 14.78/2.28 % (1108)Termination reason: Refutation not found, incomplete strategy
% 14.78/2.28
% 14.78/2.28
% 14.78/2.28 % (1108)Memory used [KB]: 6140
% 14.78/2.28 % (1108)Time elapsed: 0.017 s
% 14.78/2.28 % (1108)Instructions burned: 55 (million)
% 14.78/2.28 % (1108)------------------------------
% 14.78/2.28 % (1108)------------------------------
% 14.78/2.29 % (1109)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on theBenchmark for (2980ds/593Mi)
% 15.23/2.34 % (1081)Instruction limit reached!
% 15.23/2.34 % (1081)------------------------------
% 15.23/2.34 % (1081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.23/2.34 % (1081)Termination reason: Unknown
% 15.23/2.34 % (1081)Termination phase: Saturation
% 15.23/2.34
% 15.23/2.34 % (1081)Memory used [KB]: 9850
% 15.23/2.34 % (1081)Time elapsed: 0.736 s
% 15.23/2.34 % (1081)Instructions burned: 1830 (million)
% 15.23/2.34 % (1081)------------------------------
% 15.23/2.34 % (1081)------------------------------
% 15.23/2.35 % (1098)Instruction limit reached!
% 15.23/2.35 % (1098)------------------------------
% 15.23/2.35 % (1098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.23/2.35 % (1098)Termination reason: Unknown
% 15.23/2.35 % (1098)Termination phase: Property scanning
% 15.23/2.35
% 15.23/2.35 % (1098)Memory used [KB]: 2046
% 15.23/2.35 % (1098)Time elapsed: 0.307 s
% 15.23/2.35 % (1098)Instructions burned: 907 (million)
% 15.23/2.35 % (1098)------------------------------
% 15.23/2.35 % (1098)------------------------------
% 15.23/2.35 % (1110)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on theBenchmark for (2980ds/443Mi)
% 15.23/2.37 % (1111)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on theBenchmark for (2980ds/594Mi)
% 15.23/2.37 % (1097)Instruction limit reached!
% 15.23/2.37 % (1097)------------------------------
% 15.23/2.37 % (1097)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.23/2.37 % (1097)Termination reason: Unknown
% 15.23/2.37 % (1097)Termination phase: Property scanning
% 15.23/2.37
% 15.23/2.37 % (1097)Memory used [KB]: 2046
% 15.23/2.37 % (1097)Time elapsed: 0.389 s
% 15.23/2.37 % (1097)Instructions burned: 1376 (million)
% 15.23/2.37 % (1097)------------------------------
% 15.23/2.37 % (1097)------------------------------
% 15.23/2.39 % (1112)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on theBenchmark for (2979ds/327Mi)
% 15.23/2.39 % (1109)Instruction limit reached!
% 15.23/2.39 % (1109)------------------------------
% 15.23/2.39 % (1109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.23/2.39 % (1109)Termination reason: Unknown
% 15.23/2.39 % (1109)Termination phase: Property scanning
% 15.23/2.39
% 15.23/2.39 % (1109)Memory used [KB]: 2046
% 15.23/2.39 % (1109)Time elapsed: 0.109 s
% 15.23/2.39 % (1109)Instructions burned: 595 (million)
% 15.23/2.39 % (1109)------------------------------
% 15.23/2.39 % (1109)------------------------------
% 15.74/2.40 % (1113)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on theBenchmark for (2979ds/5411Mi)
% 15.74/2.42 % (1113)Refutation not found, incomplete strategy
% 15.74/2.42 % (1113)------------------------------
% 15.74/2.42 % (1113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.74/2.42 % (1113)Termination reason: Refutation not found, incomplete strategy
% 15.74/2.42
% 15.74/2.42
% 15.74/2.42 % (1113)Memory used [KB]: 6140
% 15.74/2.42 % (1113)Time elapsed: 0.016 s
% 15.74/2.42 % (1113)Instructions burned: 42 (million)
% 15.74/2.42 % (1113)------------------------------
% 15.74/2.42 % (1113)------------------------------
% 15.74/2.43 % (1114)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on theBenchmark for (2979ds/1762Mi)
% 15.74/2.45 % (1060)Instruction limit reached!
% 15.74/2.45 % (1060)------------------------------
% 15.74/2.45 % (1060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.74/2.45 % (1060)Termination reason: Unknown
% 15.74/2.45 % (1060)Termination phase: Saturation
% 15.74/2.45
% 15.74/2.45 % (1060)Memory used [KB]: 6908
% 15.74/2.45 % (1060)Time elapsed: 1.363 s
% 15.74/2.45 % (1060)Instructions burned: 5208 (million)
% 15.74/2.45 % (1060)------------------------------
% 15.74/2.45 % (1060)------------------------------
% 15.74/2.45 % (1110)Instruction limit reached!
% 15.74/2.45 % (1110)------------------------------
% 15.74/2.45 % (1110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 15.74/2.45 % (1110)Termination reason: Unknown
% 15.74/2.45 % (1110)Termination phase: Saturation
% 15.74/2.45
% 15.74/2.45 % (1110)Memory used [KB]: 6524
% 15.74/2.45 % (1110)Time elapsed: 0.099 s
% 15.74/2.45 % (1110)Instructions burned: 445 (million)
% 15.74/2.45 % (1110)------------------------------
% 15.74/2.45 % (1110)------------------------------
% 15.74/2.46 % (1115)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on theBenchmark for (2979ds/96Mi)
% 15.74/2.46 % (1116)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on theBenchmark for (2979ds/503Mi)
% 16.14/2.48 % (1115)Instruction limit reached!
% 16.14/2.48 % (1115)------------------------------
% 16.14/2.48 % (1115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.14/2.48 % (1115)Termination reason: Unknown
% 16.14/2.48 % (1115)Termination phase: Function definition elimination
% 16.14/2.48
% 16.14/2.48 % (1115)Memory used [KB]: 1918
% 16.14/2.48 % (1115)Time elapsed: 0.022 s
% 16.14/2.48 % (1115)Instructions burned: 98 (million)
% 16.14/2.48 % (1115)------------------------------
% 16.14/2.48 % (1115)------------------------------
% 16.14/2.48 % (1117)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2978ds/90Mi)
% 16.14/2.50 % (1117)Instruction limit reached!
% 16.14/2.50 % (1117)------------------------------
% 16.14/2.50 % (1117)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.14/2.50 % (1117)Termination reason: Unknown
% 16.14/2.50 % (1117)Termination phase: Function definition elimination
% 16.14/2.50
% 16.14/2.50 % (1117)Memory used [KB]: 1791
% 16.14/2.50 % (1117)Time elapsed: 0.022 s
% 16.14/2.50 % (1117)Instructions burned: 94 (million)
% 16.14/2.50 % (1117)------------------------------
% 16.14/2.50 % (1117)------------------------------
% 16.14/2.51 % (1118)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on theBenchmark for (2978ds/593Mi)
% 16.14/2.54 % (1112)Instruction limit reached!
% 16.14/2.54 % (1112)------------------------------
% 16.14/2.54 % (1112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.14/2.54 % (1112)Termination reason: Unknown
% 16.14/2.54 % (1112)Termination phase: Saturation
% 16.14/2.54
% 16.14/2.54 % (1112)Memory used [KB]: 7036
% 16.14/2.54 % (1112)Time elapsed: 0.156 s
% 16.14/2.54 % (1112)Instructions burned: 327 (million)
% 16.14/2.54 % (1112)------------------------------
% 16.14/2.54 % (1112)------------------------------
% 16.14/2.56 % (1119)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on theBenchmark for (2978ds/1512Mi)
% 16.75/2.60 % (1119)Refutation not found, incomplete strategy
% 16.75/2.60 % (1119)------------------------------
% 16.75/2.60 % (1119)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.60 % (1119)Termination reason: Refutation not found, incomplete strategy
% 16.75/2.60
% 16.75/2.60
% 16.75/2.60 % (1119)Memory used [KB]: 6396
% 16.75/2.60 % (1119)Time elapsed: 0.041 s
% 16.75/2.60 % (1119)Instructions burned: 83 (million)
% 16.75/2.60 % (1119)------------------------------
% 16.75/2.60 % (1119)------------------------------
% 16.75/2.61 % (1116)Instruction limit reached!
% 16.75/2.61 % (1116)------------------------------
% 16.75/2.61 % (1116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.61 % (1116)Termination reason: Unknown
% 16.75/2.61 % (1116)Termination phase: Saturation
% 16.75/2.61
% 16.75/2.61 % (1116)Memory used [KB]: 7547
% 16.75/2.61 % (1116)Time elapsed: 0.151 s
% 16.75/2.61 % (1116)Instructions burned: 504 (million)
% 16.75/2.61 % (1116)------------------------------
% 16.75/2.61 % (1116)------------------------------
% 16.75/2.61 % (1062)Instruction limit reached!
% 16.75/2.61 % (1062)------------------------------
% 16.75/2.61 % (1062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.61 % (1062)Termination reason: Unknown
% 16.75/2.61 % (1062)Termination phase: Saturation
% 16.75/2.61
% 16.75/2.61 % (1062)Memory used [KB]: 16502
% 16.75/2.61 % (1062)Time elapsed: 1.522 s
% 16.75/2.61 % (1062)Instructions burned: 4350 (million)
% 16.75/2.61 % (1062)------------------------------
% 16.75/2.61 % (1062)------------------------------
% 16.75/2.61 % (1120)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on theBenchmark for (2977ds/569Mi)
% 16.75/2.61 % (1121)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on theBenchmark for (2977ds/501Mi)
% 16.75/2.62 % (1122)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on theBenchmark for (2977ds/562Mi)
% 16.75/2.62 % (1118)Instruction limit reached!
% 16.75/2.62 % (1118)------------------------------
% 16.75/2.62 % (1118)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 16.75/2.62 % (1118)Termination reason: Unknown
% 16.75/2.62 % (1118)Termination phase: Property scanning
% 16.75/2.62
% 16.75/2.62 % (1118)Memory used [KB]: 2046
% 16.75/2.62 % (1118)Time elapsed: 0.110 s
% 16.75/2.62 % (1118)Instructions burned: 597 (million)
% 16.75/2.62 % (1118)------------------------------
% 16.75/2.62 % (1118)------------------------------
% 17.16/2.63 % (1111)Instruction limit reached!
% 17.16/2.63 % (1111)------------------------------
% 17.16/2.63 % (1111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.16/2.63 % (1111)Termination reason: Unknown
% 17.16/2.63 % (1111)Termination phase: Saturation
% 17.16/2.63
% 17.16/2.63 % (1111)Memory used [KB]: 6780
% 17.16/2.63 % (1111)Time elapsed: 0.283 s
% 17.16/2.63 % (1111)Instructions burned: 594 (million)
% 17.16/2.63 % (1111)------------------------------
% 17.16/2.63 % (1111)------------------------------
% 17.16/2.63 % (1124)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on theBenchmark for (2977ds/406Mi)
% 17.16/2.66 % (1125)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on theBenchmark for (2977ds/582Mi)
% 17.16/2.70 % (1121)Instruction limit reached!
% 17.16/2.70 % (1121)------------------------------
% 17.16/2.70 % (1121)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 17.16/2.70 % (1121)Termination reason: Unknown
% 17.16/2.70 % (1121)Termination phase: Property scanning
% 17.16/2.70
% 17.16/2.70 % (1121)Memory used [KB]: 2046
% 17.16/2.70 % (1121)Time elapsed: 0.086 s
% 17.16/2.70 % (1121)Instructions burned: 502 (million)
% 17.16/2.70 % (1121)------------------------------
% 17.16/2.70 % (1121)------------------------------
% 17.16/2.71 % (1129)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on theBenchmark for (2976ds/456Mi)
% 18.29/2.72 % (1129)Refutation not found, incomplete strategy
% 18.29/2.72 % (1129)------------------------------
% 18.29/2.72 % (1129)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.29/2.72 % (1129)Termination reason: Refutation not found, incomplete strategy
% 18.29/2.72
% 18.29/2.72
% 18.29/2.72 % (1129)Memory used [KB]: 6140
% 18.29/2.72 % (1129)Time elapsed: 0.017 s
% 18.29/2.72 % (1129)Instructions burned: 55 (million)
% 18.29/2.72 % (1129)------------------------------
% 18.29/2.72 % (1129)------------------------------
% 18.29/2.73 % (1130)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on theBenchmark for (2976ds/393Mi)
% 18.29/2.76 % (1124)Instruction limit reached!
% 18.29/2.76 % (1124)------------------------------
% 18.29/2.76 % (1124)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.29/2.76 % (1124)Termination reason: Unknown
% 18.29/2.76 % (1124)Termination phase: Saturation
% 18.29/2.76
% 18.29/2.76 % (1124)Memory used [KB]: 7547
% 18.29/2.76 % (1124)Time elapsed: 0.137 s
% 18.29/2.76 % (1124)Instructions burned: 408 (million)
% 18.29/2.76 % (1124)------------------------------
% 18.29/2.76 % (1124)------------------------------
% 18.29/2.77 % (1120)Instruction limit reached!
% 18.29/2.77 % (1120)------------------------------
% 18.29/2.77 % (1120)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.29/2.77 % (1120)Termination reason: Unknown
% 18.29/2.77 % (1120)Termination phase: Property scanning
% 18.29/2.77
% 18.29/2.77 % (1120)Memory used [KB]: 2046
% 18.29/2.77 % (1120)Time elapsed: 0.142 s
% 18.29/2.77 % (1120)Instructions burned: 570 (million)
% 18.29/2.77 % (1120)------------------------------
% 18.29/2.77 % (1120)------------------------------
% 18.29/2.77 % (1131)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on theBenchmark for (2975ds/1335Mi)
% 18.29/2.77 % (1132)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on theBenchmark for (2975ds/3373Mi)
% 18.79/2.80 % (1130)Instruction limit reached!
% 18.79/2.80 % (1130)------------------------------
% 18.79/2.80 % (1130)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.79/2.80 % (1130)Termination reason: Unknown
% 18.79/2.80 % (1130)Termination phase: Twee Goal Transformation
% 18.79/2.80
% 18.79/2.80 % (1130)Memory used [KB]: 2046
% 18.79/2.80 % (1130)Time elapsed: 0.065 s
% 18.79/2.80 % (1130)Instructions burned: 393 (million)
% 18.79/2.80 % (1130)------------------------------
% 18.79/2.80 % (1130)------------------------------
% 18.79/2.80 % (1133)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on theBenchmark for (2975ds/474Mi)
% 18.79/2.83 % (1122)Instruction limit reached!
% 18.79/2.83 % (1122)------------------------------
% 18.79/2.83 % (1122)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.79/2.83 % (1122)Termination reason: Unknown
% 18.79/2.83 % (1122)Termination phase: Saturation
% 18.79/2.83
% 18.79/2.83 % (1122)Memory used [KB]: 6908
% 18.79/2.83 % (1122)Time elapsed: 0.233 s
% 18.79/2.83 % (1122)Instructions burned: 562 (million)
% 18.79/2.83 % (1122)------------------------------
% 18.79/2.83 % (1122)------------------------------
% 18.79/2.83 % (1125)Instruction limit reached!
% 18.79/2.83 % (1125)------------------------------
% 18.79/2.83 % (1125)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 18.79/2.83 % (1125)Termination reason: Unknown
% 18.79/2.83 % (1125)Termination phase: Property scanning
% 18.79/2.83
% 18.79/2.83 % (1125)Memory used [KB]: 2046
% 18.79/2.83 % (1125)Time elapsed: 0.181 s
% 18.79/2.83 % (1125)Instructions burned: 584 (million)
% 18.79/2.83 % (1125)------------------------------
% 18.79/2.83 % (1125)------------------------------
% 18.79/2.84 % (1134)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on theBenchmark for (2975ds/157Mi)
% 18.79/2.85 % (1135)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on theBenchmark for (2975ds/590Mi)
% 19.28/2.88 % (1133)Instruction limit reached!
% 19.28/2.88 % (1133)------------------------------
% 19.28/2.88 % (1133)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.28/2.88 % (1133)Termination reason: Unknown
% 19.28/2.88 % (1133)Termination phase: Property scanning
% 19.28/2.88
% 19.28/2.88 % (1133)Memory used [KB]: 2046
% 19.28/2.88 % (1133)Time elapsed: 0.080 s
% 19.28/2.88 % (1133)Instructions burned: 474 (million)
% 19.28/2.88 % (1133)------------------------------
% 19.28/2.88 % (1133)------------------------------
% 19.28/2.89 % (1136)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on theBenchmark for (2974ds/104Mi)
% 19.28/2.89 % (1134)Instruction limit reached!
% 19.28/2.89 % (1134)------------------------------
% 19.28/2.89 % (1134)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.28/2.89 % (1134)Termination reason: Unknown
% 19.28/2.89 % (1134)Termination phase: Function definition elimination
% 19.28/2.89
% 19.28/2.89 % (1134)Memory used [KB]: 1918
% 19.28/2.89 % (1134)Time elapsed: 0.053 s
% 19.28/2.89 % (1134)Instructions burned: 158 (million)
% 19.28/2.89 % (1134)------------------------------
% 19.28/2.89 % (1134)------------------------------
% 19.50/2.91 % (1137)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on theBenchmark for (2974ds/414Mi)
% 19.53/2.91 % (1136)Instruction limit reached!
% 19.53/2.91 % (1136)------------------------------
% 19.53/2.91 % (1136)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.53/2.91 % (1136)Termination reason: Unknown
% 19.53/2.91 % (1136)Termination phase: Function definition elimination
% 19.53/2.91
% 19.53/2.91 % (1136)Memory used [KB]: 1918
% 19.53/2.91 % (1136)Time elapsed: 0.024 s
% 19.53/2.91 % (1136)Instructions burned: 110 (million)
% 19.53/2.91 % (1136)------------------------------
% 19.53/2.91 % (1136)------------------------------
% 19.53/2.92 % (1138)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on theBenchmark for (2974ds/715Mi)
% 19.82/3.03 % (1137)Instruction limit reached!
% 19.82/3.03 % (1137)------------------------------
% 19.82/3.03 % (1137)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.82/3.03 % (1137)Termination reason: Unknown
% 19.82/3.03 % (1137)Termination phase: Property scanning
% 19.82/3.03
% 19.82/3.03 % (1137)Memory used [KB]: 2046
% 19.82/3.03 % (1137)Time elapsed: 0.119 s
% 19.82/3.03 % (1137)Instructions burned: 415 (million)
% 19.82/3.03 % (1137)------------------------------
% 19.82/3.03 % (1137)------------------------------
% 19.82/3.04 % (1135)Instruction limit reached!
% 19.82/3.04 % (1135)------------------------------
% 19.82/3.04 % (1135)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.82/3.04 % (1135)Termination reason: Unknown
% 19.82/3.04 % (1135)Termination phase: Property scanning
% 19.82/3.04
% 19.82/3.04 % (1135)Memory used [KB]: 1918
% 19.82/3.04 % (1135)Time elapsed: 0.191 s
% 19.82/3.04 % (1135)Instructions burned: 591 (million)
% 19.82/3.04 % (1135)------------------------------
% 19.82/3.04 % (1135)------------------------------
% 19.82/3.04 % (1089)Instruction limit reached!
% 19.82/3.04 % (1089)------------------------------
% 19.82/3.04 % (1089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.82/3.04 % (1089)Termination reason: Unknown
% 19.82/3.04 % (1089)Termination phase: Saturation
% 19.82/3.04
% 19.82/3.04 % (1089)Memory used [KB]: 2430
% 19.82/3.04 % (1089)Time elapsed: 1.335 s
% 19.82/3.04 % (1089)Instructions burned: 4715 (million)
% 19.82/3.04 % (1089)------------------------------
% 19.82/3.04 % (1089)------------------------------
% 19.82/3.04 % (1139)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on theBenchmark for (2973ds/961Mi)
% 19.82/3.05 % (1140)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on theBenchmark for (2973ds/1213Mi)
% 19.82/3.05 % (1138)Instruction limit reached!
% 19.82/3.05 % (1138)------------------------------
% 19.82/3.05 % (1138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.82/3.05 % (1138)Termination reason: Unknown
% 19.82/3.05 % (1138)Termination phase: Property scanning
% 19.82/3.05
% 19.82/3.05 % (1138)Memory used [KB]: 2046
% 19.82/3.05 % (1138)Time elapsed: 0.134 s
% 19.82/3.05 % (1138)Instructions burned: 718 (million)
% 19.82/3.05 % (1138)------------------------------
% 19.82/3.05 % (1138)------------------------------
% 19.82/3.06 % (1141)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on theBenchmark for (2973ds/1979Mi)
% 19.82/3.06 % (1142)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on theBenchmark for (2973ds/481Mi)
% 19.82/3.07 % (1114)Instruction limit reached!
% 19.82/3.07 % (1114)------------------------------
% 19.82/3.07 % (1114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 19.82/3.07 % (1114)Termination reason: Unknown
% 19.82/3.07 % (1114)Termination phase: Property scanning
% 19.82/3.07
% 19.82/3.07 % (1114)Memory used [KB]: 2046
% 19.82/3.07 % (1114)Time elapsed: 0.637 s
% 19.82/3.07 % (1114)Instructions burned: 1762 (million)
% 19.82/3.07 % (1114)------------------------------
% 19.82/3.07 % (1114)------------------------------
% 20.50/3.08 % (1143)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on theBenchmark for (2972ds/783Mi)
% 20.50/3.14 % (1142)Instruction limit reached!
% 20.50/3.14 % (1142)------------------------------
% 20.50/3.14 % (1142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.50/3.14 % (1142)Termination reason: Unknown
% 20.50/3.14 % (1142)Termination phase: Property scanning
% 20.50/3.14
% 20.50/3.14 % (1142)Memory used [KB]: 2046
% 20.50/3.14 % (1142)Time elapsed: 0.080 s
% 20.50/3.14 % (1142)Instructions burned: 482 (million)
% 20.50/3.14 % (1142)------------------------------
% 20.50/3.14 % (1142)------------------------------
% 20.50/3.15 % (1144)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on theBenchmark for (2972ds/432Mi)
% 20.50/3.15 % (1131)First to succeed.
% 20.50/3.17 % (1131)Refutation found. Thanks to Tanya!
% 20.50/3.17 % SZS status Theorem for theBenchmark
% 20.50/3.17 % SZS output start Proof for theBenchmark
% 20.50/3.17 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_3, type, eps: ($i > $o) > $i).
% 20.50/3.17 thf(func_def_4, type, in: $i > $i > $o).
% 20.50/3.17 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 20.50/3.17 thf(func_def_7, type, union: $i > $i).
% 20.50/3.17 thf(func_def_8, type, power: $i > $i).
% 20.50/3.17 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_10, type, d_Union_closed: $i > $o).
% 20.50/3.17 thf(func_def_11, type, d_Power_closed: $i > $o).
% 20.50/3.17 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 20.50/3.17 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 20.50/3.17 thf(func_def_14, type, univof: $i > $i).
% 20.50/3.17 thf(func_def_15, type, if: $o > $i > $i > $i).
% 20.50/3.17 thf(func_def_16, type, nIn: $i > $i > $o).
% 20.50/3.17 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 20.50/3.17 thf(func_def_18, type, d_Sing: $i > $i).
% 20.50/3.17 thf(func_def_19, type, binunion: $i > $i > $i).
% 20.50/3.17 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 20.50/3.17 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_23, type, setminus: $i > $i > $i).
% 20.50/3.17 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 20.50/3.17 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 20.50/3.17 thf(func_def_26, type, ordsucc: $i > $i).
% 20.50/3.17 thf(func_def_27, type, nat_p: $i > $o).
% 20.50/3.17 thf(func_def_29, type, d_Inj1: $i > $i).
% 20.50/3.17 thf(func_def_30, type, d_Inj0: $i > $i).
% 20.50/3.17 thf(func_def_31, type, d_Unj: $i > $i).
% 20.50/3.17 thf(func_def_32, type, pair: $i > $i > $i).
% 20.50/3.17 thf(func_def_33, type, proj0: $i > $i).
% 20.50/3.17 thf(func_def_34, type, proj1: $i > $i).
% 20.50/3.17 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_36, type, setprod: $i > $i > $i).
% 20.50/3.17 thf(func_def_37, type, ap: $i > $i > $i).
% 20.50/3.17 thf(func_def_38, type, pair_p: $i > $o).
% 20.50/3.17 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_40, type, imp: $o > $o > $o).
% 20.50/3.17 thf(func_def_41, type, d_not: $o > $o).
% 20.50/3.17 thf(func_def_42, type, wel: $o > $o).
% 20.50/3.17 thf(func_def_44, type, l_ec: $o > $o > $o).
% 20.50/3.17 thf(func_def_45, type, d_and: $o > $o > $o).
% 20.50/3.17 thf(func_def_46, type, l_or: $o > $o > $o).
% 20.50/3.17 thf(func_def_47, type, orec: $o > $o > $o).
% 20.50/3.17 thf(func_def_48, type, l_iff: $o > $o > $o).
% 20.50/3.17 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 20.50/3.17 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 20.50/3.17 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 20.50/3.17 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 20.50/3.17 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 20.50/3.17 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 20.50/3.17 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 20.50/3.17 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_72, type, first: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_73, type, second: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_80, type, r_ec: $o > $o > $o).
% 20.50/3.17 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_82, type, empty: $i > $i > $o).
% 20.50/3.17 thf(func_def_83, type, nonempty: $i > $i > $o).
% 20.50/3.17 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 20.50/3.17 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 20.50/3.17 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 20.50/3.17 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 20.50/3.17 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 20.50/3.17 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 20.50/3.17 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 20.50/3.17 thf(func_def_103, type, n_is: $i > $i > $o).
% 20.50/3.17 thf(func_def_104, type, nis: $i > $i > $o).
% 20.50/3.17 thf(func_def_105, type, n_in: $i > $i > $o).
% 20.50/3.17 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 20.50/3.17 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 20.50/3.17 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 20.50/3.17 thf(func_def_110, type, cond1: $i > $o).
% 20.50/3.17 thf(func_def_111, type, cond2: $i > $o).
% 20.50/3.17 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 20.50/3.17 thf(func_def_113, type, d_22_prop1: $i > $o).
% 20.50/3.17 thf(func_def_114, type, d_23_prop1: $i > $o).
% 20.50/3.17 thf(func_def_115, type, d_24_prop1: $i > $o).
% 20.50/3.17 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 20.50/3.17 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_118, type, prop4: $i > $o).
% 20.50/3.17 thf(func_def_119, type, d_24_g: $i > $i).
% 20.50/3.17 thf(func_def_120, type, plus: $i > $i).
% 20.50/3.17 thf(func_def_121, type, n_pl: $i > $i > $i).
% 20.50/3.17 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 20.50/3.17 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 20.50/3.17 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 20.50/3.17 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 20.50/3.17 thf(func_def_128, type, iii: $i > $i > $o).
% 20.50/3.17 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 20.50/3.17 thf(func_def_130, type, moreis: $i > $i > $o).
% 20.50/3.17 thf(func_def_131, type, lessis: $i > $i > $o).
% 20.50/3.17 thf(func_def_152, type, sK1: ($i > $o) > $i).
% 20.50/3.17 thf(func_def_156, type, sK5: $i > ($i > $i) > ($i > $i) > $i).
% 20.50/3.17 thf(func_def_157, type, ph6: !>[X0: $tType]:(X0)).
% 20.50/3.17 thf(f4446,plain,(
% 20.50/3.17 $false),
% 20.50/3.17 inference(avatar_sat_refutation,[],[f1103,f1116,f1258,f1262,f1320,f1333,f1342,f1402,f1431,f1438,f1499,f1512,f1516,f2532,f2535,f3147,f3219,f3236,f3348,f3399,f3541,f4299,f4302,f4376,f4400])).
% 20.50/3.17 thf(f4400,plain,(
% 20.50/3.17 spl0_8 | ~spl0_1 | ~spl0_10),
% 20.50/3.17 inference(avatar_split_clause,[],[f4399,f1330,f1096,f1317])).
% 20.50/3.17 thf(f1317,plain,(
% 20.50/3.17 spl0_8 <=> ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
% 20.50/3.17 thf(f1096,plain,(
% 20.50/3.17 spl0_1 <=> (sK2 = sK3)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 20.50/3.17 thf(f1330,plain,(
% 20.50/3.17 spl0_10 <=> ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
% 20.50/3.17 thf(f4399,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | (~spl0_1 | ~spl0_10)),
% 20.50/3.17 inference(forward_demodulation,[],[f1332,f1098])).
% 20.50/3.17 thf(f1098,plain,(
% 20.50/3.17 (sK2 = sK3) | ~spl0_1),
% 20.50/3.17 inference(avatar_component_clause,[],[f1096])).
% 20.50/3.17 thf(f1332,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ~spl0_10),
% 20.50/3.17 inference(avatar_component_clause,[],[f1330])).
% 20.50/3.17 thf(f4376,plain,(
% 20.50/3.17 ~spl0_1 | ~spl0_17 | spl0_24),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f4375])).
% 20.50/3.17 thf(f4375,plain,(
% 20.50/3.17 $false | (~spl0_1 | ~spl0_17 | spl0_24)),
% 20.50/3.17 inference(subsumption_resolution,[],[f4359,f1493])).
% 20.50/3.17 thf(f1493,plain,(
% 20.50/3.17 ($false != (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | spl0_24),
% 20.50/3.17 inference(avatar_component_clause,[],[f1492])).
% 20.50/3.17 thf(f1492,plain,(
% 20.50/3.17 spl0_24 <=> ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_24])])).
% 20.50/3.17 thf(f4359,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | (~spl0_1 | ~spl0_17)),
% 20.50/3.17 inference(backward_demodulation,[],[f1430,f1098])).
% 20.50/3.17 thf(f1430,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ~spl0_17),
% 20.50/3.17 inference(avatar_component_clause,[],[f1428])).
% 20.50/3.17 thf(f1428,plain,(
% 20.50/3.17 spl0_17 <=> ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
% 20.50/3.17 thf(f4302,plain,(
% 20.50/3.17 ~spl0_8 | ~spl0_24),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f4301])).
% 20.50/3.17 thf(f4301,plain,(
% 20.50/3.17 $false | (~spl0_8 | ~spl0_24)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f4300])).
% 20.50/3.17 thf(f4300,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_8 | ~spl0_24)),
% 20.50/3.17 inference(backward_demodulation,[],[f1319,f1494])).
% 20.50/3.17 thf(f1494,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ~spl0_24),
% 20.50/3.17 inference(avatar_component_clause,[],[f1492])).
% 20.50/3.17 thf(f1319,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ~spl0_8),
% 20.50/3.17 inference(avatar_component_clause,[],[f1317])).
% 20.50/3.17 thf(f4299,plain,(
% 20.50/3.17 spl0_24 | ~spl0_17 | spl0_40 | ~spl0_50),
% 20.50/3.17 inference(avatar_split_clause,[],[f4298,f3210,f2501,f1428,f1492])).
% 20.50/3.17 thf(f2501,plain,(
% 20.50/3.17 spl0_40 <=> ($false = (in @ sK4 @ nat))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_40])])).
% 20.50/3.17 thf(f3210,plain,(
% 20.50/3.17 spl0_50 <=> ! [X0] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_50])])).
% 20.50/3.17 thf(f4298,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | (~spl0_17 | spl0_40 | ~spl0_50)),
% 20.50/3.17 inference(subsumption_resolution,[],[f4254,f2502])).
% 20.50/3.17 thf(f2502,plain,(
% 20.50/3.17 ($false != (in @ sK4 @ nat)) | spl0_40),
% 20.50/3.17 inference(avatar_component_clause,[],[f2501])).
% 20.50/3.17 thf(f4254,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | (~spl0_17 | ~spl0_50)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f4236])).
% 20.50/3.17 thf(f4236,plain,(
% 20.50/3.17 ($false = $true) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | (~spl0_17 | ~spl0_50)),
% 20.50/3.17 inference(superposition,[],[f3211,f1430])).
% 20.50/3.17 thf(f3211,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | ~spl0_50),
% 20.50/3.17 inference(avatar_component_clause,[],[f3210])).
% 20.50/3.17 thf(f3541,plain,(
% 20.50/3.17 spl0_50 | spl0_19 | spl0_30),
% 20.50/3.17 inference(avatar_split_clause,[],[f3540,f1656,f1450,f3210])).
% 20.50/3.17 thf(f1450,plain,(
% 20.50/3.17 spl0_19 <=> ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
% 20.50/3.17 thf(f1656,plain,(
% 20.50/3.17 spl0_30 <=> ($false = (in @ sK3 @ nat))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_30])])).
% 20.50/3.17 thf(f3540,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0)))))) ) | (spl0_19 | spl0_30)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f3539])).
% 20.50/3.17 thf(f3539,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = $true) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0)))))) ) | (spl0_19 | spl0_30)),
% 20.50/3.17 inference(forward_demodulation,[],[f3538,f1082])).
% 20.50/3.17 thf(f1082,plain,(
% 20.50/3.17 ((in @ sK2 @ nat) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1080])).
% 20.50/3.17 thf(f1080,plain,(
% 20.50/3.17 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y0)) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y1))))))))))))),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1079])).
% 20.50/3.17 thf(f1079,plain,(
% 20.50/3.17 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3))))) => (Y0 = Y1)) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3))))) => (Y1 = Y2)) => ((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3))))) => (Y0 = Y2)))))))))))) @ sK2))),
% 20.50/3.17 inference(sigma_clausification,[],[f744])).
% 20.50/3.17 thf(f744,plain,(
% 20.50/3.17 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3))))) => (Y0 = Y1)) => (((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3))))) => (Y1 = Y2)) => ((d_not @ (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3))))) => (Y0 = Y2))))))))))))) != $true)),
% 20.50/3.17 inference(beta_eta_normalization,[],[f696])).
% 20.50/3.17 thf(f696,plain,(
% 20.50/3.17 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y0 @ Y1) => (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y1 @ Y2) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y0 @ Y2))))))))) != $true)),
% 20.50/3.17 inference(definition_unfolding,[],[f615,f674,f674,f674,f677,f677,f677])).
% 20.50/3.17 thf(f677,plain,(
% 20.50/3.17 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f626,f675,f673,f670])).
% 20.50/3.17 thf(f670,plain,(
% 20.50/3.17 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 20.50/3.17 inference(definition_unfolding,[],[f606,f669])).
% 20.50/3.17 thf(f669,plain,(
% 20.50/3.17 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f281])).
% 20.50/3.17 thf(f281,plain,(
% 20.50/3.17 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 20.50/3.17 inference(fool_elimination,[],[f280])).
% 20.50/3.17 thf(f280,plain,(
% 20.50/3.17 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 20.50/3.17 inference(rectify,[],[f91])).
% 20.50/3.17 thf(f91,axiom,(
% 20.50/3.17 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 20.50/3.17 thf(f606,plain,(
% 20.50/3.17 (n_is = (e_is @ nat))),
% 20.50/3.17 inference(cnf_transformation,[],[f498])).
% 20.50/3.17 thf(f498,plain,(
% 20.50/3.17 (n_is = (e_is @ nat))),
% 20.50/3.17 inference(fool_elimination,[],[f157])).
% 20.50/3.17 thf(f157,axiom,(
% 20.50/3.17 (n_is = (e_is @ nat))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 20.50/3.17 thf(f673,plain,(
% 20.50/3.17 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f628,f653,f671])).
% 20.50/3.17 thf(f671,plain,(
% 20.50/3.17 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f638,f670])).
% 20.50/3.17 thf(f638,plain,(
% 20.50/3.17 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f575])).
% 20.50/3.17 thf(f575,plain,(
% 20.50/3.17 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))),
% 20.50/3.17 inference(fool_elimination,[],[f203])).
% 20.50/3.17 thf(f203,axiom,(
% 20.50/3.17 (diffprop = (^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_diffprop)).
% 20.50/3.17 thf(f653,plain,(
% 20.50/3.17 (n_some = (l_some @ nat))),
% 20.50/3.17 inference(cnf_transformation,[],[f386])).
% 20.50/3.17 thf(f386,plain,(
% 20.50/3.17 (n_some = (l_some @ nat))),
% 20.50/3.17 inference(fool_elimination,[],[f160])).
% 20.50/3.17 thf(f160,axiom,(
% 20.50/3.17 (n_some = (l_some @ nat))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_some)).
% 20.50/3.17 thf(f628,plain,(
% 20.50/3.17 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f369])).
% 20.50/3.17 thf(f369,plain,(
% 20.50/3.17 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 20.50/3.17 inference(fool_elimination,[],[f206])).
% 20.50/3.17 thf(f206,axiom,(
% 20.50/3.17 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii)).
% 20.50/3.17 thf(f675,plain,(
% 20.50/3.17 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))),
% 20.50/3.17 inference(definition_unfolding,[],[f666,f616])).
% 20.50/3.17 thf(f616,plain,(
% 20.50/3.17 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 20.50/3.17 inference(cnf_transformation,[],[f264])).
% 20.50/3.17 thf(f264,plain,(
% 20.50/3.17 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 20.50/3.17 inference(fool_elimination,[],[f263])).
% 20.50/3.17 thf(f263,plain,(
% 20.50/3.17 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 20.50/3.17 inference(rectify,[],[f74])).
% 20.50/3.17 thf(f74,axiom,(
% 20.50/3.17 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_imp)).
% 20.50/3.17 thf(f666,plain,(
% 20.50/3.17 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 20.50/3.17 inference(cnf_transformation,[],[f319])).
% 20.50/3.17 thf(f319,plain,(
% 20.50/3.17 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 20.50/3.17 inference(fool_elimination,[],[f81])).
% 20.50/3.17 thf(f81,axiom,(
% 20.50/3.17 (l_or = (^[X0 : $o] : (imp @ (d_not @ X0))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_l_or)).
% 20.50/3.17 thf(f626,plain,(
% 20.50/3.17 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f506])).
% 20.50/3.17 thf(f506,plain,(
% 20.50/3.17 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 20.50/3.17 inference(fool_elimination,[],[f217])).
% 20.50/3.17 thf(f217,axiom,(
% 20.50/3.17 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessis)).
% 20.50/3.17 thf(f674,plain,(
% 20.50/3.17 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f662,f603])).
% 20.50/3.17 thf(f603,plain,(
% 20.50/3.17 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 20.50/3.17 inference(cnf_transformation,[],[f578])).
% 20.50/3.17 thf(f578,plain,(
% 20.50/3.17 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 20.50/3.17 inference(fool_elimination,[],[f1])).
% 20.50/3.17 thf(f1,axiom,(
% 20.50/3.17 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 20.50/3.17 thf(f662,plain,(
% 20.50/3.17 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f302])).
% 20.50/3.17 thf(f302,plain,(
% 20.50/3.17 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 20.50/3.17 inference(fool_elimination,[],[f301])).
% 20.50/3.17 thf(f301,plain,(
% 20.50/3.17 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 20.50/3.17 inference(rectify,[],[f2])).
% 20.50/3.17 thf(f2,axiom,(
% 20.50/3.17 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 20.50/3.17 thf(f615,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((lessis @ Y0 @ Y1) => ((lessis @ Y1 @ Y2) => (lessis @ Y0 @ Y2))))))))) != $true)),
% 20.50/3.17 inference(cnf_transformation,[],[f594])).
% 20.50/3.17 thf(f594,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((lessis @ Y0 @ Y1) => ((lessis @ Y1 @ Y2) => (lessis @ Y0 @ Y2))))))))) != $true)),
% 20.50/3.17 inference(flattening,[],[f516])).
% 20.50/3.17 thf(f516,plain,(
% 20.50/3.17 ~((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((lessis @ Y0 @ Y1) => ((lessis @ Y1 @ Y2) => (lessis @ Y0 @ Y2))))))))) = $true)),
% 20.50/3.17 inference(fool_elimination,[],[f515])).
% 20.50/3.17 thf(f515,plain,(
% 20.50/3.17 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((lessis @ X1 @ X3) => ((lessis @ X3 @ X5) => (lessis @ X1 @ X5)))))))))),
% 20.50/3.17 inference(rectify,[],[f234])).
% 20.50/3.17 thf(f234,negated_conjecture,(
% 20.50/3.17 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((lessis @ X0 @ X1) => ((lessis @ X1 @ X2) => (lessis @ X0 @ X2)))))))))),
% 20.50/3.17 inference(negated_conjecture,[],[f233])).
% 20.50/3.17 thf(f233,conjecture,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((lessis @ X0 @ X1) => ((lessis @ X1 @ X2) => (lessis @ X0 @ X2)))))))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz17)).
% 20.50/3.17 thf(f3538,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | (spl0_19 | spl0_30)),
% 20.50/3.17 inference(subsumption_resolution,[],[f3532,f1657])).
% 20.50/3.17 thf(f1657,plain,(
% 20.50/3.17 ($false != (in @ sK3 @ nat)) | spl0_30),
% 20.50/3.17 inference(avatar_component_clause,[],[f1656])).
% 20.50/3.17 thf(f3532,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (in @ sK2 @ nat)) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ((in @ X0 @ nat) = $false)) ) | spl0_19),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f3528])).
% 20.50/3.17 thf(f3528,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false != $false) | ($true = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK2 @ nat))) ) | spl0_19),
% 20.50/3.17 inference(superposition,[],[f1451,f1149])).
% 20.50/3.17 thf(f1149,plain,(
% 20.50/3.17 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0))))) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) | ((in @ X1 @ nat) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0)))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1148])).
% 20.50/3.17 thf(f1148,plain,(
% 20.50/3.17 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) | (((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0))))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X3 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1147])).
% 20.50/3.17 thf(f1147,plain,(
% 20.50/3.17 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0)))))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1146])).
% 20.50/3.17 thf(f1146,plain,(
% 20.50/3.17 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | (((in @ X3 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))) => ((l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X2 @ Y0)))) => (l_some @ nat @ (^[Y0 : $i]: (X3 = (n_pl @ X1 @ Y0))))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1145])).
% 20.50/3.17 thf(f1145,plain,(
% 20.50/3.17 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))) @ X3) = $true) | ((in @ X2 @ nat) = $false)) )),
% 20.50/3.17 inference(pi_clausification,[],[f1144])).
% 20.50/3.17 thf(f1144,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))))))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1143])).
% 20.50/3.17 thf(f1143,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X2 = (n_pl @ X1 @ Y1)))) => ((l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X2 @ Y1)))) => (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1)))))))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1142])).
% 20.50/3.17 thf(f1142,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2))))))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(pi_clausification,[],[f1141])).
% 20.50/3.17 thf(f1141,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2)))))))))))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1140])).
% 20.50/3.17 thf(f1140,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ X1 @ Y2)))) => ((l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ X1 @ Y2))))))))))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1139])).
% 20.50/3.17 thf(f1139,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3)))) => ((l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3)))))))))))))) @ X1) = $true)) )),
% 20.50/3.17 inference(pi_clausification,[],[f741])).
% 20.50/3.17 thf(f741,plain,(
% 20.50/3.17 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((l_some @ nat @ (^[Y3 : $i]: (Y1 = (n_pl @ Y0 @ Y3)))) => ((l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y1 @ Y3)))) => (l_some @ nat @ (^[Y3 : $i]: (Y2 = (n_pl @ Y0 @ Y3))))))))))))))))),
% 20.50/3.17 inference(beta_eta_normalization,[],[f728])).
% 20.50/3.17 thf(f728,plain,(
% 20.50/3.17 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y0 @ Y1) => (((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y1 @ Y2) => ((^[Y3 : $i]: ((^[Y4 : $i]: (l_some @ nat @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ nat @ Y5 @ (n_pl @ Y6 @ Y7))))))) @ Y4 @ Y3))))) @ Y0 @ Y2))))))))) = $true)),
% 20.50/3.17 inference(definition_unfolding,[],[f665,f674,f674,f674,f673,f673,f673])).
% 20.50/3.17 thf(f665,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((iii @ Y0 @ Y1) => ((iii @ Y1 @ Y2) => (iii @ Y0 @ Y2))))))))) = $true)),
% 20.50/3.17 inference(cnf_transformation,[],[f385])).
% 20.50/3.17 thf(f385,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((iii @ Y0 @ Y1) => ((iii @ Y1 @ Y2) => (iii @ Y0 @ Y2))))))))) = $true)),
% 20.50/3.17 inference(fool_elimination,[],[f384])).
% 20.50/3.17 thf(f384,plain,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((iii @ X1 @ X3) => ((iii @ X3 @ X5) => (iii @ X1 @ X5)))))))))),
% 20.50/3.17 inference(rectify,[],[f228])).
% 20.50/3.17 thf(f228,axiom,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((iii @ X0 @ X1) => ((iii @ X1 @ X2) => (iii @ X0 @ X2)))))))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz15)).
% 20.50/3.17 thf(f1451,plain,(
% 20.50/3.17 ($false != (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) | spl0_19),
% 20.50/3.17 inference(avatar_component_clause,[],[f1450])).
% 20.50/3.17 thf(f3399,plain,(
% 20.50/3.17 ~spl0_46 | ~spl0_47),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f3398])).
% 20.50/3.17 thf(f3398,plain,(
% 20.50/3.17 $false | (~spl0_46 | ~spl0_47)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f3397])).
% 20.50/3.17 thf(f3397,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_46 | ~spl0_47)),
% 20.50/3.17 inference(forward_demodulation,[],[f3197,f3185])).
% 20.50/3.17 thf(f3185,plain,(
% 20.50/3.17 ($false = (d_not @ $false)) | ~spl0_46),
% 20.50/3.17 inference(avatar_component_clause,[],[f3183])).
% 20.50/3.17 thf(f3183,plain,(
% 20.50/3.17 spl0_46 <=> ($false = (d_not @ $false))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_46])])).
% 20.50/3.17 thf(f3197,plain,(
% 20.50/3.17 ($true = (d_not @ $false)) | ~spl0_47),
% 20.50/3.17 inference(avatar_component_clause,[],[f3195])).
% 20.50/3.17 thf(f3195,plain,(
% 20.50/3.17 spl0_47 <=> ($true = (d_not @ $false))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_47])])).
% 20.50/3.17 thf(f3348,plain,(
% 20.50/3.17 spl0_47 | ~spl0_18),
% 20.50/3.17 inference(avatar_split_clause,[],[f3346,f1435,f3195])).
% 20.50/3.17 thf(f1435,plain,(
% 20.50/3.17 spl0_18 <=> ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
% 20.50/3.17 thf(f3346,plain,(
% 20.50/3.17 ($true = (d_not @ $false)) | ~spl0_18),
% 20.50/3.17 inference(backward_demodulation,[],[f1118,f1437])).
% 20.50/3.17 thf(f1437,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_18),
% 20.50/3.17 inference(avatar_component_clause,[],[f1435])).
% 20.50/3.17 thf(f1118,plain,(
% 20.50/3.17 ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1104])).
% 20.50/3.17 thf(f1104,plain,(
% 20.50/3.17 ($false = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK4)))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1091])).
% 20.50/3.17 thf(f1091,plain,(
% 20.50/3.17 ($false = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))) => (sK3 = sK4)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK4))))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1089])).
% 20.50/3.17 thf(f1089,plain,(
% 20.50/3.17 ($false = (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK3)) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))) => (sK3 = sK4)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK4)))))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1088])).
% 20.50/3.17 thf(f1088,plain,(
% 20.50/3.17 ($false = ((in @ sK4 @ nat) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK3)) => (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))) => (sK3 = sK4)) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK4))))))),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1087])).
% 20.50/3.17 thf(f1087,plain,(
% 20.50/3.17 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ sK2 @ Y1))))) => (sK2 = sK3)) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK3 @ Y1))))) => (sK3 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK2 @ Y1))))) => (sK2 = Y0)))))) @ sK4))),
% 20.50/3.17 inference(sigma_clausification,[],[f1085])).
% 20.50/3.17 thf(f1085,plain,(
% 20.50/3.17 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ sK2 @ Y1))))) => (sK2 = sK3)) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK3 @ Y1))))) => (sK3 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK2 @ Y1))))) => (sK2 = Y0))))))))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1084])).
% 20.50/3.17 thf(f1084,plain,(
% 20.50/3.17 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (sK3 = (n_pl @ sK2 @ Y1))))) => (sK2 = sK3)) => (((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK3 @ Y1))))) => (sK3 = Y0)) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ sK2 @ Y1))))) => (sK2 = Y0)))))))))),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1083])).
% 20.50/3.17 thf(f1083,plain,(
% 20.50/3.17 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y0)) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y1))))))))) @ sK3))),
% 20.50/3.17 inference(sigma_clausification,[],[f1081])).
% 20.50/3.17 thf(f1081,plain,(
% 20.50/3.17 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y0)) => (((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1)) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ sK2 @ Y2))))) => (sK2 = Y1)))))))))))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1080])).
% 20.50/3.17 thf(f3236,plain,(
% 20.50/3.17 spl0_46 | ~spl0_2 | ~spl0_19),
% 20.50/3.17 inference(avatar_split_clause,[],[f1539,f1450,f1100,f3183])).
% 20.50/3.17 thf(f1100,plain,(
% 20.50/3.17 spl0_2 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 20.50/3.17 thf(f1539,plain,(
% 20.50/3.17 ($false = (d_not @ $false)) | (~spl0_2 | ~spl0_19)),
% 20.50/3.17 inference(backward_demodulation,[],[f1102,f1452])).
% 20.50/3.17 thf(f1452,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) | ~spl0_19),
% 20.50/3.17 inference(avatar_component_clause,[],[f1450])).
% 20.50/3.17 thf(f1102,plain,(
% 20.50/3.17 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))))) | ~spl0_2),
% 20.50/3.17 inference(avatar_component_clause,[],[f1100])).
% 20.50/3.17 thf(f3219,plain,(
% 20.50/3.17 spl0_9 | ~spl0_8),
% 20.50/3.17 inference(avatar_split_clause,[],[f3218,f1317,f1326])).
% 20.50/3.17 thf(f1326,plain,(
% 20.50/3.17 spl0_9 <=> ($false = (d_not @ $true))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
% 20.50/3.17 thf(f3218,plain,(
% 20.50/3.17 ($false = (d_not @ $true)) | ~spl0_8),
% 20.50/3.17 inference(backward_demodulation,[],[f1275,f1319])).
% 20.50/3.17 thf(f1275,plain,(
% 20.50/3.17 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1274])).
% 20.50/3.17 thf(f1274,plain,(
% 20.50/3.17 ($false = $true) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 20.50/3.17 inference(forward_demodulation,[],[f1273,f1090])).
% 20.50/3.17 thf(f1090,plain,(
% 20.50/3.17 ((in @ sK4 @ nat) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1088])).
% 20.50/3.17 thf(f1273,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1272])).
% 20.50/3.17 thf(f1272,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))) | ($false = $true)),
% 20.50/3.17 inference(forward_demodulation,[],[f1271,f1082])).
% 20.50/3.17 thf(f1271,plain,(
% 20.50/3.17 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 20.50/3.17 inference(subsumption_resolution,[],[f1270,f1119])).
% 20.50/3.17 thf(f1119,plain,(
% 20.50/3.17 (sK2 != sK4)),
% 20.50/3.17 inference(equality_proxy_clausification,[],[f1117])).
% 20.50/3.17 thf(f1117,plain,(
% 20.50/3.17 ($false = (sK2 = sK4))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1104])).
% 20.50/3.17 thf(f1270,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | (sK2 = sK4) | ($false = (in @ sK2 @ nat)) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1265])).
% 20.50/3.17 thf(f1265,plain,(
% 20.50/3.17 ($false = $true) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | (sK2 = sK4)),
% 20.50/3.17 inference(superposition,[],[f1078,f1118])).
% 20.50/3.17 thf(f1078,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X1 = X2)) )),
% 20.50/3.17 inference(equality_proxy_clausification,[],[f1077])).
% 20.50/3.17 thf(f1077,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0)))))) | ((in @ X2 @ nat) = $false) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | ((X1 = X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1076])).
% 20.50/3.17 thf(f1076,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) | (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2)) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1075])).
% 20.50/3.17 thf(f1075,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1074])).
% 20.50/3.17 thf(f1074,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) => ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2)))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1073])).
% 20.50/3.17 thf(f1073,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(pi_clausification,[],[f1072])).
% 20.50/3.17 thf(f1072,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0)))))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1071])).
% 20.50/3.17 thf(f1071,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))) => ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f1070])).
% 20.50/3.17 thf(f1070,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1)))))))) @ X1) = $true)) )),
% 20.50/3.17 inference(pi_clausification,[],[f745])).
% 20.50/3.17 thf(f745,plain,(
% 20.50/3.17 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))) => ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))))))))) = $true)),
% 20.50/3.17 inference(beta_eta_normalization,[],[f704])).
% 20.50/3.17 thf(f704,plain,(
% 20.50/3.17 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1)))))) = $true)),
% 20.50/3.17 inference(definition_unfolding,[],[f627,f674,f674,f672,f677])).
% 20.50/3.17 thf(f672,plain,(
% 20.50/3.17 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f658,f653,f671])).
% 20.50/3.17 thf(f658,plain,(
% 20.50/3.17 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 20.50/3.17 inference(cnf_transformation,[],[f313])).
% 20.50/3.17 thf(f313,plain,(
% 20.50/3.17 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))),
% 20.50/3.17 inference(fool_elimination,[],[f205])).
% 20.50/3.17 thf(f205,axiom,(
% 20.50/3.17 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))) = d_29_ii)),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_29_ii)).
% 20.50/3.17 thf(f627,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))) = $true)),
% 20.50/3.17 inference(cnf_transformation,[],[f343])).
% 20.50/3.17 thf(f343,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))) = $true)),
% 20.50/3.17 inference(fool_elimination,[],[f342])).
% 20.50/3.17 thf(f342,plain,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (d_29_ii @ X1 @ X3)) => (lessis @ X1 @ X3))))))),
% 20.50/3.17 inference(rectify,[],[f222])).
% 20.50/3.17 thf(f222,axiom,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (d_29_ii @ X0 @ X1)) => (lessis @ X0 @ X1))))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10e)).
% 20.50/3.17 thf(f3147,plain,(
% 20.50/3.17 ~spl0_10 | ~spl0_11 | ~spl0_24 | spl0_30 | spl0_40),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f3146])).
% 20.50/3.17 thf(f3146,plain,(
% 20.50/3.17 $false | (~spl0_10 | ~spl0_11 | ~spl0_24 | spl0_30 | spl0_40)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f3145])).
% 20.50/3.17 thf(f3145,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_10 | ~spl0_11 | ~spl0_24 | spl0_30 | spl0_40)),
% 20.50/3.17 inference(forward_demodulation,[],[f3144,f1494])).
% 20.50/3.17 thf(f3144,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | (~spl0_10 | ~spl0_11 | spl0_30 | spl0_40)),
% 20.50/3.17 inference(subsumption_resolution,[],[f3109,f2502])).
% 20.50/3.17 thf(f3109,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | (~spl0_10 | ~spl0_11 | spl0_30)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f3065])).
% 20.50/3.17 thf(f3065,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = $true) | (~spl0_10 | ~spl0_11 | spl0_30)),
% 20.50/3.17 inference(superposition,[],[f2622,f1332])).
% 20.50/3.17 thf(f2622,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))) = $true) | ((in @ X0 @ nat) = $false)) ) | (~spl0_11 | spl0_30)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f2621])).
% 20.50/3.17 thf(f2621,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))) = $true) | ($false = $true) | ((in @ X0 @ nat) = $false)) ) | (~spl0_11 | spl0_30)),
% 20.50/3.17 inference(forward_demodulation,[],[f2620,f1082])).
% 20.50/3.17 thf(f2620,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ((in @ X0 @ nat) = $false) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))) = $true)) ) | (~spl0_11 | spl0_30)),
% 20.50/3.17 inference(subsumption_resolution,[],[f2606,f1657])).
% 20.50/3.17 thf(f2606,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))) = $true) | ((in @ X0 @ nat) = $false) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0)))))) ) | ~spl0_11),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f2541])).
% 20.50/3.17 thf(f2541,plain,(
% 20.50/3.17 ( ! [X0 : $i] : (($false = (in @ sK2 @ nat)) | ((in @ X0 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ X0 @ Y0))))) | ($false = (in @ sK3 @ nat)) | ($false = $true) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ X0 @ Y0)))) = $true)) ) | ~spl0_11),
% 20.50/3.17 inference(superposition,[],[f1149,f1341])).
% 20.50/3.17 thf(f1341,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ~spl0_11),
% 20.50/3.17 inference(avatar_component_clause,[],[f1339])).
% 20.50/3.17 thf(f1339,plain,(
% 20.50/3.17 spl0_11 <=> ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_11])])).
% 20.50/3.17 thf(f2535,plain,(
% 20.50/3.17 ~spl0_40),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f2534])).
% 20.50/3.17 thf(f2534,plain,(
% 20.50/3.17 $false | ~spl0_40),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f2533])).
% 20.50/3.17 thf(f2533,plain,(
% 20.50/3.17 ($false = $true) | ~spl0_40),
% 20.50/3.17 inference(backward_demodulation,[],[f1090,f2503])).
% 20.50/3.17 thf(f2503,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ~spl0_40),
% 20.50/3.17 inference(avatar_component_clause,[],[f2501])).
% 20.50/3.17 thf(f2532,plain,(
% 20.50/3.17 ~spl0_30),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f2531])).
% 20.50/3.17 thf(f2531,plain,(
% 20.50/3.17 $false | ~spl0_30),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f2530])).
% 20.50/3.17 thf(f2530,plain,(
% 20.50/3.17 ($false = $true) | ~spl0_30),
% 20.50/3.17 inference(backward_demodulation,[],[f1086,f1658])).
% 20.50/3.17 thf(f1658,plain,(
% 20.50/3.17 ($false = (in @ sK3 @ nat)) | ~spl0_30),
% 20.50/3.17 inference(avatar_component_clause,[],[f1656])).
% 20.50/3.17 thf(f1086,plain,(
% 20.50/3.17 ((in @ sK3 @ nat) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1084])).
% 20.50/3.17 thf(f1516,plain,(
% 20.50/3.17 ~spl0_7 | ~spl0_25),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f1515])).
% 20.50/3.17 thf(f1515,plain,(
% 20.50/3.17 $false | (~spl0_7 | ~spl0_25)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1514])).
% 20.50/3.17 thf(f1514,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_7 | ~spl0_25)),
% 20.50/3.17 inference(backward_demodulation,[],[f1498,f1315])).
% 20.50/3.17 thf(f1315,plain,(
% 20.50/3.17 ($false = (d_not @ (sK2 = sK4))) | ~spl0_7),
% 20.50/3.17 inference(avatar_component_clause,[],[f1313])).
% 20.50/3.17 thf(f1313,plain,(
% 20.50/3.17 spl0_7 <=> ($false = (d_not @ (sK2 = sK4)))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])).
% 20.50/3.17 thf(f1498,plain,(
% 20.50/3.17 ((d_not @ (sK2 = sK4)) = $true) | ~spl0_25),
% 20.50/3.17 inference(avatar_component_clause,[],[f1496])).
% 20.50/3.17 thf(f1496,plain,(
% 20.50/3.17 spl0_25 <=> ((d_not @ (sK2 = sK4)) = $true)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
% 20.50/3.17 thf(f1512,plain,(
% 20.50/3.17 ~spl0_9 | ~spl0_15),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f1511])).
% 20.50/3.17 thf(f1511,plain,(
% 20.50/3.17 $false | (~spl0_9 | ~spl0_15)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1510])).
% 20.50/3.17 thf(f1510,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_9 | ~spl0_15)),
% 20.50/3.17 inference(forward_demodulation,[],[f1419,f1328])).
% 20.50/3.17 thf(f1328,plain,(
% 20.50/3.17 ($false = (d_not @ $true)) | ~spl0_9),
% 20.50/3.17 inference(avatar_component_clause,[],[f1326])).
% 20.50/3.17 thf(f1419,plain,(
% 20.50/3.17 ($true = (d_not @ $true)) | ~spl0_15),
% 20.50/3.17 inference(avatar_component_clause,[],[f1417])).
% 20.50/3.17 thf(f1417,plain,(
% 20.50/3.17 spl0_15 <=> ($true = (d_not @ $true))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_15])])).
% 20.50/3.17 thf(f1499,plain,(
% 20.50/3.17 spl0_24 | spl0_25),
% 20.50/3.17 inference(avatar_split_clause,[],[f1383,f1496,f1492])).
% 20.50/3.17 thf(f1383,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ((d_not @ (sK2 = sK4)) = $true)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1382])).
% 20.50/3.17 thf(f1382,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ($false = $true) | ((d_not @ (sK2 = sK4)) = $true)),
% 20.50/3.17 inference(forward_demodulation,[],[f1381,f1082])).
% 20.50/3.17 thf(f1381,plain,(
% 20.50/3.17 ($false = (in @ sK2 @ nat)) | ((d_not @ (sK2 = sK4)) = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1380])).
% 20.50/3.17 thf(f1380,plain,(
% 20.50/3.17 ($false = (in @ sK2 @ nat)) | ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ((d_not @ (sK2 = sK4)) = $true)),
% 20.50/3.17 inference(forward_demodulation,[],[f1379,f1090])).
% 20.50/3.17 thf(f1379,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ((d_not @ (sK2 = sK4)) = $true) | ($false = (in @ sK2 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))))),
% 20.50/3.17 inference(boolean_simplification,[],[f1365])).
% 20.50/3.17 thf(f1365,plain,(
% 20.50/3.17 ((d_not @ ($true => (sK2 = sK4))) = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat))),
% 20.50/3.17 inference(superposition,[],[f1001,f1118])).
% 20.50/3.17 thf(f1001,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) = $true) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ($false = (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1000])).
% 20.50/3.17 thf(f1000,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2)))) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f999])).
% 20.50/3.17 thf(f999,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f998])).
% 20.50/3.17 thf(f998,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0)))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(pi_clausification,[],[f997])).
% 20.50/3.17 thf(f997,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))))))) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f996])).
% 20.50/3.17 thf(f996,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0)))))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f995])).
% 20.50/3.17 thf(f995,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))))))))) @ X1))) )),
% 20.50/3.17 inference(pi_clausification,[],[f758])).
% 20.50/3.17 thf(f758,plain,(
% 20.50/3.17 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))) => (d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1)))))))))) = $true)),
% 20.50/3.17 inference(beta_eta_normalization,[],[f685])).
% 20.50/3.17 thf(f685,plain,(
% 20.50/3.17 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1) => (d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1))))))) = $true)),
% 20.50/3.17 inference(definition_unfolding,[],[f601,f674,f674,f672,f677])).
% 20.50/3.17 thf(f601,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_not @ (lessis @ Y0 @ Y1))))))) = $true)),
% 20.50/3.17 inference(cnf_transformation,[],[f249])).
% 20.50/3.17 thf(f249,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_not @ (lessis @ Y0 @ Y1))))))) = $true)),
% 20.50/3.17 inference(fool_elimination,[],[f248])).
% 20.50/3.17 thf(f248,plain,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_29_ii @ X1 @ X3) => (d_not @ (lessis @ X1 @ X3)))))))),
% 20.50/3.17 inference(rectify,[],[f224])).
% 20.50/3.17 thf(f224,axiom,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_29_ii @ X0 @ X1) => (d_not @ (lessis @ X0 @ X1)))))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10g)).
% 20.50/3.17 thf(f1438,plain,(
% 20.50/3.17 spl0_18 | spl0_15),
% 20.50/3.17 inference(avatar_split_clause,[],[f1396,f1417,f1435])).
% 20.50/3.17 thf(f1396,plain,(
% 20.50/3.17 ($true = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1395])).
% 20.50/3.17 thf(f1395,plain,(
% 20.50/3.17 ($false = $true) | ($true = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false)),
% 20.50/3.17 inference(forward_demodulation,[],[f1394,f1082])).
% 20.50/3.17 thf(f1394,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = (in @ sK2 @ nat)) | ($true = (d_not @ $true))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1393])).
% 20.50/3.17 thf(f1393,plain,(
% 20.50/3.17 ($true = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = (in @ sK2 @ nat)) | ($false = $true)),
% 20.50/3.17 inference(forward_demodulation,[],[f1377,f1090])).
% 20.50/3.17 thf(f1377,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ($true = (d_not @ $true)) | ($false = (in @ sK2 @ nat))),
% 20.50/3.17 inference(boolean_simplification,[],[f1366])).
% 20.50/3.17 thf(f1366,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ($false = (in @ sK4 @ nat)) | ((d_not @ ($false => (sK4 = sK2))) = $true) | ($false = (in @ sK2 @ nat))),
% 20.50/3.17 inference(superposition,[],[f1001,f1275])).
% 20.50/3.17 thf(f1431,plain,(
% 20.50/3.17 spl0_15 | spl0_17 | ~spl0_4),
% 20.50/3.17 inference(avatar_split_clause,[],[f1426,f1113,f1428,f1417])).
% 20.50/3.17 thf(f1113,plain,(
% 20.50/3.17 spl0_4 <=> ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))))),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 20.50/3.17 thf(f1426,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ($true = (d_not @ $true)) | ~spl0_4),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1425])).
% 20.50/3.17 thf(f1425,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ($false = $true) | ($true = (d_not @ $true)) | ~spl0_4),
% 20.50/3.17 inference(forward_demodulation,[],[f1407,f1090])).
% 20.50/3.17 thf(f1407,plain,(
% 20.50/3.17 ($true = (d_not @ $true)) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ~spl0_4),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1406])).
% 20.50/3.17 thf(f1406,plain,(
% 20.50/3.17 ($true = (d_not @ $true)) | ($false = $true) | ($false = (in @ sK4 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ~spl0_4),
% 20.50/3.17 inference(forward_demodulation,[],[f1369,f1086])).
% 20.50/3.17 thf(f1369,plain,(
% 20.50/3.17 ($false = (in @ sK3 @ nat)) | ($false = (in @ sK4 @ nat)) | ($true = (d_not @ $true)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ~spl0_4),
% 20.50/3.17 inference(boolean_simplification,[],[f1364])).
% 20.50/3.17 thf(f1364,plain,(
% 20.50/3.17 ($false = (in @ sK3 @ nat)) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0))))) | ((d_not @ ($false => (sK3 = sK4))) = $true) | ($false = (in @ sK4 @ nat)) | ~spl0_4),
% 20.50/3.17 inference(superposition,[],[f1001,f1115])).
% 20.50/3.17 thf(f1115,plain,(
% 20.50/3.17 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0)))))) | ~spl0_4),
% 20.50/3.17 inference(avatar_component_clause,[],[f1113])).
% 20.50/3.17 thf(f1402,plain,(
% 20.50/3.17 ~spl0_7 | ~spl0_9),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f1401])).
% 20.50/3.17 thf(f1401,plain,(
% 20.50/3.17 $false | (~spl0_7 | ~spl0_9)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1400])).
% 20.50/3.17 thf(f1400,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_7 | ~spl0_9)),
% 20.50/3.17 inference(forward_demodulation,[],[f1399,f1386])).
% 20.50/3.17 thf(f1386,plain,(
% 20.50/3.17 ($false = (d_not @ $false)) | ~spl0_7),
% 20.50/3.17 inference(backward_demodulation,[],[f1275,f1385])).
% 20.50/3.17 thf(f1385,plain,(
% 20.50/3.17 ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ~spl0_7),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1384])).
% 20.50/3.17 thf(f1384,plain,(
% 20.50/3.17 ($false = $true) | ($false = (l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0))))) | ~spl0_7),
% 20.50/3.17 inference(forward_demodulation,[],[f1383,f1315])).
% 20.50/3.17 thf(f1399,plain,(
% 20.50/3.17 ($true = (d_not @ $false)) | ~spl0_9),
% 20.50/3.17 inference(backward_demodulation,[],[f1118,f1398])).
% 20.50/3.17 thf(f1398,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_9),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1397])).
% 20.50/3.17 thf(f1397,plain,(
% 20.50/3.17 ($false = $true) | ((l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK2 @ Y0)))) = $false) | ~spl0_9),
% 20.50/3.17 inference(forward_demodulation,[],[f1396,f1328])).
% 20.50/3.17 thf(f1342,plain,(
% 20.50/3.17 spl0_11 | spl0_9 | ~spl0_2),
% 20.50/3.17 inference(avatar_split_clause,[],[f1337,f1100,f1326,f1339])).
% 20.50/3.17 thf(f1337,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ($false = (d_not @ $true)) | ~spl0_2),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1336])).
% 20.50/3.17 thf(f1336,plain,(
% 20.50/3.17 ($false = $true) | ($false = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ~spl0_2),
% 20.50/3.17 inference(forward_demodulation,[],[f1335,f1086])).
% 20.50/3.17 thf(f1335,plain,(
% 20.50/3.17 ($false = (in @ sK3 @ nat)) | ($false = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ~spl0_2),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1334])).
% 20.50/3.17 thf(f1334,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ($false = $true) | ($false = (d_not @ $true)) | ($false = (in @ sK3 @ nat)) | ~spl0_2),
% 20.50/3.17 inference(forward_demodulation,[],[f1305,f1082])).
% 20.50/3.17 thf(f1305,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (d_not @ $true)) | ~spl0_2),
% 20.50/3.17 inference(boolean_simplification,[],[f1300])).
% 20.50/3.17 thf(f1300,plain,(
% 20.50/3.17 ($false = (d_not @ ($false => (sK2 = sK3)))) | ($false = (in @ sK3 @ nat)) | ($false = (in @ sK2 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK3 @ Y0)))) = $true) | ~spl0_2),
% 20.50/3.17 inference(superposition,[],[f876,f1102])).
% 20.50/3.17 thf(f876,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (($false = (d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2)))) | ((l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))) = $true) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f875])).
% 20.50/3.17 thf(f875,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0))))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f874])).
% 20.50/3.17 thf(f874,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((in @ X2 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (X2 = (n_pl @ X1 @ Y0))))) => (X1 = X2))) => (l_some @ nat @ (^[Y0 : $i]: (X1 = (n_pl @ X2 @ Y0)))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f873])).
% 20.50/3.17 thf(f873,plain,(
% 20.50/3.17 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))))) @ X2) = $true) | ((in @ X1 @ nat) = $false)) )),
% 20.50/3.17 inference(pi_clausification,[],[f872])).
% 20.50/3.17 thf(f872,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1)))))))) = $true)) )),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f871])).
% 20.50/3.17 thf(f871,plain,(
% 20.50/3.17 ( ! [X1 : $i] : ((((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y1 : $i]: (Y0 = (n_pl @ X1 @ Y1))))) => (X1 = Y0))) => (l_some @ nat @ (^[Y1 : $i]: (X1 = (n_pl @ Y0 @ Y1))))))))) = $true)) )),
% 20.50/3.17 inference(beta_eta_normalization,[],[f870])).
% 20.50/3.17 thf(f870,plain,(
% 20.50/3.17 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2)))))))))) @ X1))) )),
% 20.50/3.17 inference(pi_clausification,[],[f773])).
% 20.50/3.17 thf(f773,plain,(
% 20.50/3.17 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_not @ ((d_not @ (l_some @ nat @ (^[Y2 : $i]: (Y1 = (n_pl @ Y0 @ Y2))))) => (Y0 = Y1))) => (l_some @ nat @ (^[Y2 : $i]: (Y0 = (n_pl @ Y1 @ Y2))))))))))) = $true)),
% 20.50/3.17 inference(beta_eta_normalization,[],[f729])).
% 20.50/3.17 thf(f729,plain,(
% 20.50/3.17 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ Y0 @ Y1)))))))),
% 20.50/3.17 inference(definition_unfolding,[],[f667,f674,f674,f677,f672])).
% 20.50/3.17 thf(f667,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) = $true)),
% 20.50/3.17 inference(cnf_transformation,[],[f585])).
% 20.50/3.17 thf(f585,plain,(
% 20.50/3.17 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (lessis @ Y0 @ Y1)) => (d_29_ii @ Y0 @ Y1)))))) = $true)),
% 20.50/3.17 inference(fool_elimination,[],[f584])).
% 20.50/3.17 thf(f584,plain,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (lessis @ X1 @ X3)) => (d_29_ii @ X1 @ X3))))))),
% 20.50/3.17 inference(rectify,[],[f227])).
% 20.50/3.17 thf(f227,axiom,(
% 20.50/3.17 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (lessis @ X0 @ X1)) => (d_29_ii @ X0 @ X1))))))),
% 20.50/3.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10k)).
% 20.50/3.17 thf(f1333,plain,(
% 20.50/3.17 spl0_9 | spl0_10 | ~spl0_4),
% 20.50/3.17 inference(avatar_split_clause,[],[f1324,f1113,f1330,f1326])).
% 20.50/3.17 thf(f1324,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (d_not @ $true)) | ~spl0_4),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1323])).
% 20.50/3.17 thf(f1323,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = $true) | ($false = (d_not @ $true)) | ~spl0_4),
% 20.50/3.17 inference(forward_demodulation,[],[f1322,f1086])).
% 20.50/3.17 thf(f1322,plain,(
% 20.50/3.17 ($false = (in @ sK3 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (d_not @ $true)) | ~spl0_4),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1321])).
% 20.50/3.17 thf(f1321,plain,(
% 20.50/3.17 ($false = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (in @ sK3 @ nat)) | ($false = $true) | ~spl0_4),
% 20.50/3.17 inference(forward_demodulation,[],[f1306,f1090])).
% 20.50/3.17 thf(f1306,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (d_not @ $true)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ~spl0_4),
% 20.50/3.17 inference(boolean_simplification,[],[f1299])).
% 20.50/3.17 thf(f1299,plain,(
% 20.50/3.17 ($false = (in @ sK4 @ nat)) | ((l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (in @ sK3 @ nat)) | ((d_not @ ($false => (sK3 = sK4))) = $false) | ~spl0_4),
% 20.50/3.17 inference(superposition,[],[f876,f1115])).
% 20.50/3.17 thf(f1320,plain,(
% 20.50/3.17 spl0_7 | spl0_8),
% 20.50/3.17 inference(avatar_split_clause,[],[f1311,f1317,f1313])).
% 20.50/3.17 thf(f1311,plain,(
% 20.50/3.17 ($false = (d_not @ (sK2 = sK4))) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1310])).
% 20.50/3.17 thf(f1310,plain,(
% 20.50/3.17 ($false = (d_not @ (sK2 = sK4))) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = $true)),
% 20.50/3.17 inference(forward_demodulation,[],[f1309,f1090])).
% 20.50/3.17 thf(f1309,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (in @ sK4 @ nat)) | ($false = (d_not @ (sK2 = sK4)))),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1308])).
% 20.50/3.17 thf(f1308,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (d_not @ (sK2 = sK4))) | ($false = $true) | ($false = (in @ sK4 @ nat))),
% 20.50/3.17 inference(forward_demodulation,[],[f1307,f1082])).
% 20.50/3.17 thf(f1307,plain,(
% 20.50/3.17 ($false = (in @ sK2 @ nat)) | ($false = (d_not @ (sK2 = sK4))) | ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (in @ sK4 @ nat))),
% 20.50/3.17 inference(boolean_simplification,[],[f1298])).
% 20.50/3.17 thf(f1298,plain,(
% 20.50/3.17 ((l_some @ nat @ (^[Y0 : $i]: (sK2 = (n_pl @ sK4 @ Y0)))) = $true) | ($false = (d_not @ ($true => (sK2 = sK4)))) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat))),
% 20.50/3.17 inference(superposition,[],[f876,f1118])).
% 20.50/3.17 thf(f1262,plain,(
% 20.50/3.17 ~spl0_1 | ~spl0_3),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f1261])).
% 20.50/3.17 thf(f1261,plain,(
% 20.50/3.17 $false | (~spl0_1 | ~spl0_3)),
% 20.50/3.17 inference(subsumption_resolution,[],[f1259,f1119])).
% 20.50/3.17 thf(f1259,plain,(
% 20.50/3.17 (sK2 = sK4) | (~spl0_1 | ~spl0_3)),
% 20.50/3.17 inference(backward_demodulation,[],[f1111,f1098])).
% 20.50/3.17 thf(f1111,plain,(
% 20.50/3.17 (sK3 = sK4) | ~spl0_3),
% 20.50/3.17 inference(avatar_component_clause,[],[f1109])).
% 20.50/3.17 thf(f1109,plain,(
% 20.50/3.17 spl0_3 <=> (sK3 = sK4)),
% 20.50/3.17 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 20.50/3.17 thf(f1258,plain,(
% 20.50/3.17 ~spl0_2 | ~spl0_3),
% 20.50/3.17 inference(avatar_contradiction_clause,[],[f1257])).
% 20.50/3.17 thf(f1257,plain,(
% 20.50/3.17 $false | (~spl0_2 | ~spl0_3)),
% 20.50/3.17 inference(trivial_inequality_removal,[],[f1256])).
% 20.50/3.17 thf(f1256,plain,(
% 20.50/3.17 ($false = $true) | (~spl0_2 | ~spl0_3)),
% 20.50/3.17 inference(forward_demodulation,[],[f1254,f1102])).
% 20.50/3.17 thf(f1254,plain,(
% 20.50/3.17 ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) = $true) | ~spl0_3),
% 20.50/3.17 inference(backward_demodulation,[],[f1118,f1111])).
% 20.50/3.17 thf(f1116,plain,(
% 20.50/3.17 spl0_3 | spl0_4),
% 20.50/3.17 inference(avatar_split_clause,[],[f1107,f1113,f1109])).
% 20.50/3.17 thf(f1107,plain,(
% 20.50/3.17 (sK3 = sK4) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))))),
% 20.50/3.17 inference(equality_proxy_clausification,[],[f1106])).
% 20.50/3.17 thf(f1106,plain,(
% 20.50/3.17 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0)))))) | ((sK3 = sK4) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1105])).
% 20.50/3.17 thf(f1105,plain,(
% 20.50/3.17 ($true = ((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK4 = (n_pl @ sK3 @ Y0))))) => (sK3 = sK4)))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1091])).
% 20.50/3.17 thf(f1103,plain,(
% 20.50/3.17 spl0_1 | spl0_2),
% 20.50/3.17 inference(avatar_split_clause,[],[f1094,f1100,f1096])).
% 20.50/3.17 thf(f1094,plain,(
% 20.50/3.17 ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0)))))) | (sK2 = sK3)),
% 20.50/3.17 inference(equality_proxy_clausification,[],[f1093])).
% 20.50/3.17 thf(f1093,plain,(
% 20.50/3.17 ((sK2 = sK3) = $true) | ($false = (d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))))),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1092])).
% 20.50/3.17 thf(f1092,plain,(
% 20.50/3.17 (((d_not @ (l_some @ nat @ (^[Y0 : $i]: (sK3 = (n_pl @ sK2 @ Y0))))) => (sK2 = sK3)) = $true)),
% 20.50/3.17 inference(binary_proxy_clausification,[],[f1089])).
% 20.50/3.17 % SZS output end Proof for theBenchmark
% 20.50/3.17 % (1131)------------------------------
% 20.50/3.17 % (1131)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 20.50/3.17 % (1131)Termination reason: Refutation
% 20.50/3.17
% 20.50/3.17 % (1131)Memory used [KB]: 8059
% 20.50/3.17 % (1131)Time elapsed: 0.392 s
% 20.50/3.17 % (1131)Instructions burned: 1260 (million)
% 20.50/3.17 % (1131)------------------------------
% 20.50/3.17 % (1131)------------------------------
% 20.50/3.17 % (929)Success in time 2.803 s
% 20.50/3.17 % Vampire---4.8 exiting
%------------------------------------------------------------------------------