TSTP Solution File: NUM677^4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM677^4 : 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 : n032.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 01:44:36 EDT 2024
% Result : Theorem 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : NUM677^4 : TPTP v8.2.0. Released v7.1.0.
% 0.03/0.10 % 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
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 06:53:22 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a TH0_THM_EQU_NAR problem
% 0.09/0.30 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
% 0.16/0.33 % (19334)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)
% 0.16/0.33 % (19337)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)
% 0.16/0.33 % (19335)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)
% 0.16/0.33 % (19338)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)
% 0.16/0.33 % (19340)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)
% 0.16/0.33 % (19337)Instruction limit reached!
% 0.16/0.33 % (19337)------------------------------
% 0.16/0.33 % (19337)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19337)Termination reason: Unknown
% 0.16/0.33 % (19337)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (19337)Memory used [KB]: 1279
% 0.16/0.33 % (19337)Time elapsed: 0.002 s
% 0.16/0.33 % (19337)Instructions burned: 2 (million)
% 0.16/0.33 % (19337)------------------------------
% 0.16/0.33 % (19337)------------------------------
% 0.16/0.33 % (19334)Instruction limit reached!
% 0.16/0.33 % (19334)------------------------------
% 0.16/0.33 % (19334)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19334)Termination reason: Unknown
% 0.16/0.33 % (19334)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (19334)Memory used [KB]: 1407
% 0.16/0.33 % (19334)Time elapsed: 0.003 s
% 0.16/0.33 % (19334)Instructions burned: 4 (million)
% 0.16/0.33 % (19334)------------------------------
% 0.16/0.33 % (19334)------------------------------
% 0.16/0.33 % (19340)Instruction limit reached!
% 0.16/0.33 % (19340)------------------------------
% 0.16/0.33 % (19340)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19340)Termination reason: Unknown
% 0.16/0.33 % (19340)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (19340)Memory used [KB]: 1407
% 0.16/0.33 % (19340)Time elapsed: 0.003 s
% 0.16/0.33 % (19340)Instructions burned: 6 (million)
% 0.16/0.33 % (19340)------------------------------
% 0.16/0.33 % (19340)------------------------------
% 0.16/0.33 % (19339)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.33 % (19336)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.33 % (19336)Instruction limit reached!
% 0.16/0.33 % (19336)------------------------------
% 0.16/0.33 % (19336)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.33 % (19336)Termination reason: Unknown
% 0.16/0.33 % (19336)Termination phase: shuffling
% 0.16/0.33
% 0.16/0.33 % (19336)Memory used [KB]: 1407
% 0.16/0.33 % (19336)Time elapsed: 0.003 s
% 0.16/0.33 % (19336)Instructions burned: 5 (million)
% 0.16/0.33 % (19336)------------------------------
% 0.16/0.33 % (19336)------------------------------
% 0.16/0.34 % (19335)Instruction limit reached!
% 0.16/0.34 % (19335)------------------------------
% 0.16/0.34 % (19335)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19335)Termination reason: Unknown
% 0.16/0.34 % (19335)Termination phase: Property scanning
% 0.16/0.34
% 0.16/0.34 % (19335)Memory used [KB]: 1663
% 0.16/0.34 % (19335)Time elapsed: 0.010 s
% 0.16/0.34 % (19335)Instructions burned: 28 (million)
% 0.16/0.34 % (19335)------------------------------
% 0.16/0.34 % (19335)------------------------------
% 0.16/0.34 % (19333)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.34 % (19341)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)
% 0.16/0.34 % (19343)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)
% 0.16/0.34 % (19343)Instruction limit reached!
% 0.16/0.34 % (19343)------------------------------
% 0.16/0.34 % (19343)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19343)Termination reason: Unknown
% 0.16/0.34 % (19343)Termination phase: shuffling
% 0.16/0.34
% 0.16/0.34 % (19343)Memory used [KB]: 1279
% 0.16/0.34 % (19343)Time elapsed: 0.002 s
% 0.16/0.34 % (19343)Instructions burned: 3 (million)
% 0.16/0.34 % (19343)------------------------------
% 0.16/0.34 % (19343)------------------------------
% 0.16/0.34 % (19339)Instruction limit reached!
% 0.16/0.34 % (19339)------------------------------
% 0.16/0.34 % (19339)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19339)Termination reason: Unknown
% 0.16/0.34 % (19339)Termination phase: shuffling
% 0.16/0.34
% 0.16/0.34 % (19339)Memory used [KB]: 1663
% 0.16/0.34 % (19339)Time elapsed: 0.010 s
% 0.16/0.34 % (19339)Instructions burned: 18 (million)
% 0.16/0.34 % (19339)------------------------------
% 0.16/0.34 % (19339)------------------------------
% 0.16/0.34 % (19338)Refutation not found, incomplete strategy
% 0.16/0.34 % (19338)------------------------------
% 0.16/0.34 % (19338)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.34 % (19338)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.34
% 0.16/0.34
% 0.16/0.34 % (19338)Memory used [KB]: 6268
% 0.16/0.34 % (19338)Time elapsed: 0.014 s
% 0.16/0.34 % (19338)Instructions burned: 47 (million)
% 0.16/0.34 % (19338)------------------------------
% 0.16/0.34 % (19338)------------------------------
% 0.16/0.34 % (19344)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)
% 0.16/0.34 % (19345)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.35 % (19345)Instruction limit reached!
% 0.16/0.35 % (19345)------------------------------
% 0.16/0.35 % (19345)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19345)Termination reason: Unknown
% 0.16/0.35 % (19345)Termination phase: shuffling
% 0.16/0.35
% 0.16/0.35 % (19345)Memory used [KB]: 1407
% 0.16/0.35 % (19345)Time elapsed: 0.004 s
% 0.16/0.35 % (19345)Instructions burned: 9 (million)
% 0.16/0.35 % (19345)------------------------------
% 0.16/0.35 % (19345)------------------------------
% 0.16/0.35 % (19341)Instruction limit reached!
% 0.16/0.35 % (19341)------------------------------
% 0.16/0.35 % (19341)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19341)Termination reason: Unknown
% 0.16/0.35 % (19341)Termination phase: Property scanning
% 0.16/0.35
% 0.16/0.35 % (19341)Memory used [KB]: 1791
% 0.16/0.35 % (19341)Time elapsed: 0.012 s
% 0.16/0.35 % (19341)Instructions burned: 39 (million)
% 0.16/0.35 % (19341)------------------------------
% 0.16/0.35 % (19341)------------------------------
% 0.16/0.35 % (19346)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.35 % (19342)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)
% 0.16/0.35 % (19347)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)
% 0.16/0.35 % (19347)Instruction limit reached!
% 0.16/0.35 % (19347)------------------------------
% 0.16/0.35 % (19347)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19347)Termination reason: Unknown
% 0.16/0.35 % (19347)Termination phase: shuffling
% 0.16/0.35
% 0.16/0.35 % (19347)Memory used [KB]: 1279
% 0.16/0.35 % (19347)Time elapsed: 0.003 s
% 0.16/0.35 % (19347)Instructions burned: 3 (million)
% 0.16/0.35 % (19347)------------------------------
% 0.16/0.35 % (19347)------------------------------
% 0.16/0.35 % (19346)Instruction limit reached!
% 0.16/0.35 % (19346)------------------------------
% 0.16/0.35 % (19346)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19346)Termination reason: Unknown
% 0.16/0.35 % (19346)Termination phase: shuffling
% 0.16/0.35
% 0.16/0.35 % (19346)Memory used [KB]: 1535
% 0.16/0.35 % (19346)Time elapsed: 0.006 s
% 0.16/0.35 % (19346)Instructions burned: 16 (million)
% 0.16/0.35 % (19346)------------------------------
% 0.16/0.35 % (19346)------------------------------
% 0.16/0.35 % (19342)Instruction limit reached!
% 0.16/0.35 % (19342)------------------------------
% 0.16/0.35 % (19342)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.35 % (19342)Termination reason: Unknown
% 0.16/0.35 % (19342)Termination phase: shuffling
% 0.16/0.35
% 0.16/0.35 % (19342)Memory used [KB]: 1535
% 0.16/0.35 % (19342)Time elapsed: 0.006 s
% 0.16/0.35 % (19342)Instructions burned: 16 (million)
% 0.16/0.35 % (19342)------------------------------
% 0.16/0.35 % (19342)------------------------------
% 0.16/0.36 % (19349)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)
% 0.16/0.36 % (19350)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)
% 0.16/0.36 % (19350)Instruction limit reached!
% 0.16/0.36 % (19350)------------------------------
% 0.16/0.36 % (19350)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19350)Termination reason: Unknown
% 0.16/0.36 % (19350)Termination phase: shuffling
% 0.16/0.36
% 0.16/0.36 % (19350)Memory used [KB]: 1279
% 0.16/0.36 % (19350)Time elapsed: 0.002 s
% 0.16/0.36 % (19350)Instructions burned: 3 (million)
% 0.16/0.36 % (19350)------------------------------
% 0.16/0.36 % (19350)------------------------------
% 0.16/0.36 % (19349)Instruction limit reached!
% 0.16/0.36 % (19349)------------------------------
% 0.16/0.36 % (19349)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19349)Termination reason: Unknown
% 0.16/0.36 % (19349)Termination phase: shuffling
% 0.16/0.36
% 0.16/0.36 % (19349)Memory used [KB]: 1407
% 0.16/0.36 % (19349)Time elapsed: 0.004 s
% 0.16/0.36 % (19349)Instructions burned: 9 (million)
% 0.16/0.36 % (19349)------------------------------
% 0.16/0.36 % (19349)------------------------------
% 0.16/0.36 % (19352)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)
% 0.16/0.36 % (19351)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.16/0.36 % (19348)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)
% 0.16/0.36 % (19351)Instruction limit reached!
% 0.16/0.36 % (19351)------------------------------
% 0.16/0.36 % (19351)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19351)Termination reason: Unknown
% 0.16/0.36 % (19351)Termination phase: shuffling
% 0.16/0.36
% 0.16/0.36 % (19351)Memory used [KB]: 1407
% 0.16/0.36 % (19351)Time elapsed: 0.003 s
% 0.16/0.36 % (19351)Instructions burned: 6 (million)
% 0.16/0.36 % (19351)------------------------------
% 0.16/0.36 % (19351)------------------------------
% 0.16/0.36 % (19348)Instruction limit reached!
% 0.16/0.36 % (19348)------------------------------
% 0.16/0.36 % (19348)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.36 % (19348)Termination reason: Unknown
% 0.16/0.36 % (19348)Termination phase: shuffling
% 0.16/0.36
% 0.16/0.36 % (19348)Memory used [KB]: 1279
% 0.16/0.36 % (19348)Time elapsed: 0.003 s
% 0.16/0.36 % (19348)Instructions burned: 3 (million)
% 0.16/0.36 % (19348)------------------------------
% 0.16/0.36 % (19348)------------------------------
% 0.16/0.37 % (19354)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.37 % (19352)Instruction limit reached!
% 0.16/0.37 % (19352)------------------------------
% 0.16/0.37 % (19352)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19352)Termination reason: Unknown
% 0.16/0.37 % (19352)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (19352)Memory used [KB]: 1663
% 0.16/0.37 % (19352)Time elapsed: 0.007 s
% 0.16/0.37 % (19352)Instructions burned: 19 (million)
% 0.16/0.37 % (19352)------------------------------
% 0.16/0.37 % (19352)------------------------------
% 0.16/0.37 % (19354)Instruction limit reached!
% 0.16/0.37 % (19354)------------------------------
% 0.16/0.37 % (19354)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19354)Termination reason: Unknown
% 0.16/0.37 % (19354)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (19354)Memory used [KB]: 1407
% 0.16/0.37 % (19354)Time elapsed: 0.003 s
% 0.16/0.37 % (19354)Instructions burned: 6 (million)
% 0.16/0.37 % (19354)------------------------------
% 0.16/0.37 % (19354)------------------------------
% 0.16/0.37 % (19355)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)
% 0.16/0.37 % (19356)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)
% 0.16/0.37 % (19353)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.16/0.37 % (19357)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.16/0.37 % (19357)Instruction limit reached!
% 0.16/0.37 % (19357)------------------------------
% 0.16/0.37 % (19357)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.37 % (19357)Termination reason: Unknown
% 0.16/0.37 % (19357)Termination phase: shuffling
% 0.16/0.37
% 0.16/0.37 % (19357)Memory used [KB]: 1407
% 0.16/0.37 % (19357)Time elapsed: 0.003 s
% 0.16/0.37 % (19357)Instructions burned: 5 (million)
% 0.16/0.37 % (19357)------------------------------
% 0.16/0.37 % (19357)------------------------------
% 0.16/0.38 % (19359)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.16/0.38 % (19358)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)
% 0.16/0.38 % (19358)Instruction limit reached!
% 0.16/0.38 % (19358)------------------------------
% 0.16/0.38 % (19358)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19358)Termination reason: Unknown
% 0.16/0.38 % (19358)Termination phase: shuffling
% 0.16/0.38
% 0.16/0.38 % (19358)Memory used [KB]: 1407
% 0.16/0.38 % (19358)Time elapsed: 0.003 s
% 0.16/0.38 % (19358)Instructions burned: 7 (million)
% 0.16/0.38 % (19358)------------------------------
% 0.16/0.38 % (19358)------------------------------
% 0.16/0.38 % (19356)Instruction limit reached!
% 0.16/0.38 % (19356)------------------------------
% 0.16/0.38 % (19356)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19356)Termination reason: Unknown
% 0.16/0.38 % (19356)Termination phase: shuffling
% 0.16/0.38
% 0.16/0.38 % (19356)Memory used [KB]: 1663
% 0.16/0.38 % (19356)Time elapsed: 0.008 s
% 0.16/0.38 % (19356)Instructions burned: 22 (million)
% 0.16/0.38 % (19356)------------------------------
% 0.16/0.38 % (19356)------------------------------
% 0.16/0.38 % (19333)Instruction limit reached!
% 0.16/0.38 % (19333)------------------------------
% 0.16/0.38 % (19333)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.38 % (19333)Termination reason: Unknown
% 0.16/0.38 % (19333)Termination phase: Function definition elimination
% 0.16/0.38
% 0.16/0.38 % (19333)Memory used [KB]: 2046
% 0.16/0.38 % (19333)Time elapsed: 0.044 s
% 0.16/0.38 % (19333)Instructions burned: 187 (million)
% 0.16/0.38 % (19333)------------------------------
% 0.16/0.38 % (19333)------------------------------
% 0.16/0.38 % (19360)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)
% 0.16/0.39 % (19361)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.16/0.39 % (19362)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.16/0.39 % (19363)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.16/0.39 % (19361)Instruction limit reached!
% 0.16/0.39 % (19361)------------------------------
% 0.16/0.39 % (19361)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (19361)Termination reason: Unknown
% 0.16/0.39 % (19361)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (19361)Memory used [KB]: 1663
% 0.16/0.39 % (19361)Time elapsed: 0.007 s
% 0.16/0.39 % (19361)Instructions burned: 21 (million)
% 0.16/0.39 % (19361)------------------------------
% 0.16/0.39 % (19361)------------------------------
% 0.16/0.39 % (19363)Instruction limit reached!
% 0.16/0.39 % (19363)------------------------------
% 0.16/0.39 % (19363)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (19363)Termination reason: Unknown
% 0.16/0.39 % (19363)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (19363)Memory used [KB]: 1663
% 0.16/0.39 % (19363)Time elapsed: 0.007 s
% 0.16/0.39 % (19363)Instructions burned: 18 (million)
% 0.16/0.39 % (19363)------------------------------
% 0.16/0.39 % (19363)------------------------------
% 0.16/0.39 % (19355)Refutation not found, incomplete strategy
% 0.16/0.39 % (19355)------------------------------
% 0.16/0.39 % (19355)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (19355)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.39
% 0.16/0.39
% 0.16/0.39 % (19355)Memory used [KB]: 6524
% 0.16/0.39 % (19355)Time elapsed: 0.025 s
% 0.16/0.39 % (19355)Instructions burned: 88 (million)
% 0.16/0.39 % (19355)------------------------------
% 0.16/0.39 % (19355)------------------------------
% 0.16/0.40 % (19364)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.40 % (19364)Instruction limit reached!
% 0.16/0.40 % (19364)------------------------------
% 0.16/0.40 % (19364)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (19364)Termination reason: Unknown
% 0.16/0.40 % (19364)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (19364)Memory used [KB]: 1279
% 0.16/0.40 % (19364)Time elapsed: 0.002 s
% 0.16/0.40 % (19364)Instructions burned: 3 (million)
% 0.16/0.40 % (19364)------------------------------
% 0.16/0.40 % (19364)------------------------------
% 0.16/0.40 % (19366)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 (2999ds/127Mi)
% 0.16/0.40 % (19365)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.16/0.41 % (19367)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)
% 0.16/0.41 % (19365)Instruction limit reached!
% 0.16/0.41 % (19365)------------------------------
% 0.16/0.41 % (19365)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (19365)Termination reason: Unknown
% 0.16/0.41 % (19365)Termination phase: Property scanning
% 0.16/0.41
% 0.16/0.41 % (19365)Memory used [KB]: 1663
% 0.16/0.41 % (19365)Time elapsed: 0.011 s
% 0.16/0.41 % (19365)Instructions burned: 33 (million)
% 0.16/0.41 % (19365)------------------------------
% 0.16/0.41 % (19365)------------------------------
% 0.16/0.42 % (19368)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)
% 0.16/0.42 % (19362)Refutation not found, incomplete strategy
% 0.16/0.42 % (19362)------------------------------
% 0.16/0.42 % (19362)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (19362)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.42
% 0.16/0.42
% 0.16/0.42 % (19362)Memory used [KB]: 6524
% 0.16/0.42 % (19362)Time elapsed: 0.035 s
% 0.16/0.42 % (19362)Instructions burned: 112 (million)
% 0.16/0.42 % (19362)------------------------------
% 0.16/0.42 % (19362)------------------------------
% 0.16/0.42 % (19368)Instruction limit reached!
% 0.16/0.42 % (19368)------------------------------
% 0.16/0.42 % (19368)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (19368)Termination reason: Unknown
% 0.16/0.42 % (19368)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (19368)Memory used [KB]: 1407
% 0.16/0.42 % (19368)Time elapsed: 0.003 s
% 0.16/0.42 % (19368)Instructions burned: 5 (million)
% 0.16/0.42 % (19368)------------------------------
% 0.16/0.42 % (19368)------------------------------
% 0.16/0.43 % (19366)Instruction limit reached!
% 0.16/0.43 % (19366)------------------------------
% 0.16/0.43 % (19366)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (19366)Termination reason: Unknown
% 0.16/0.43 % (19366)Termination phase: Function definition elimination
% 0.16/0.43
% 0.16/0.43 % (19366)Memory used [KB]: 2046
% 0.16/0.43 % (19366)Time elapsed: 0.027 s
% 0.16/0.43 % (19366)Instructions burned: 131 (million)
% 0.16/0.43 % (19366)------------------------------
% 0.16/0.43 % (19366)------------------------------
% 0.16/0.43 % (19369)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)
% 0.16/0.43 % (19359)Instruction limit reached!
% 0.16/0.43 % (19359)------------------------------
% 0.16/0.43 % (19359)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (19359)Termination reason: Unknown
% 0.16/0.43 % (19359)Termination phase: Function definition elimination
% 0.16/0.43
% 0.16/0.43 % (19359)Memory used [KB]: 2046
% 0.16/0.43 % (19359)Time elapsed: 0.057 s
% 0.16/0.43 % (19359)Instructions burned: 378 (million)
% 0.16/0.43 % (19359)------------------------------
% 0.16/0.43 % (19359)------------------------------
% 0.16/0.43 % (19370)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)
% 0.16/0.43 % (19367)Instruction limit reached!
% 0.16/0.43 % (19367)------------------------------
% 0.16/0.43 % (19367)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (19367)Termination reason: Unknown
% 0.16/0.43 % (19367)Termination phase: Function definition elimination
% 0.16/0.43
% 0.16/0.43 % (19367)Memory used [KB]: 2046
% 0.16/0.43 % (19367)Time elapsed: 0.024 s
% 0.16/0.43 % (19367)Instructions burned: 100 (million)
% 0.16/0.43 % (19367)------------------------------
% 0.16/0.43 % (19367)------------------------------
% 0.16/0.44 % (19371)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)
% 0.16/0.44 % (19369)Instruction limit reached!
% 0.16/0.44 % (19369)------------------------------
% 0.16/0.44 % (19369)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (19369)Termination reason: Unknown
% 0.16/0.44 % (19369)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (19369)Memory used [KB]: 1663
% 0.16/0.44 % (19369)Time elapsed: 0.008 s
% 0.16/0.44 % (19369)Instructions burned: 22 (million)
% 0.16/0.44 % (19369)------------------------------
% 0.16/0.44 % (19369)------------------------------
% 0.16/0.44 % (19372)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)
% 0.16/0.44 % (19373)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.16/0.45 % (19374)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.16/0.45 % (19372)Instruction limit reached!
% 0.16/0.45 % (19372)------------------------------
% 0.16/0.45 % (19372)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (19372)Termination reason: Unknown
% 0.16/0.45 % (19372)Termination phase: Property scanning
% 0.16/0.45
% 0.16/0.45 % (19372)Memory used [KB]: 1791
% 0.16/0.45 % (19372)Time elapsed: 0.012 s
% 0.16/0.45 % (19372)Instructions burned: 41 (million)
% 0.16/0.45 % (19372)------------------------------
% 0.16/0.45 % (19372)------------------------------
% 0.16/0.45 % (19370)Instruction limit reached!
% 0.16/0.45 % (19370)------------------------------
% 0.16/0.45 % (19370)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.45 % (19370)Termination reason: Unknown
% 0.16/0.45 % (19370)Termination phase: Function definition elimination
% 0.16/0.45
% 0.16/0.45 % (19370)Memory used [KB]: 2046
% 0.16/0.45 % (19370)Time elapsed: 0.023 s
% 0.16/0.45 % (19370)Instructions burned: 91 (million)
% 0.16/0.45 % (19370)------------------------------
% 0.16/0.45 % (19370)------------------------------
% 0.16/0.46 % (19375)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.16/0.46 % (19374)Instruction limit reached!
% 0.16/0.46 % (19374)------------------------------
% 0.16/0.46 % (19374)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (19374)Termination reason: Unknown
% 0.16/0.46 % (19374)Termination phase: Preprocessing 1
% 0.16/0.46
% 0.16/0.46 % (19374)Memory used [KB]: 1663
% 0.16/0.46 % (19374)Time elapsed: 0.015 s
% 0.16/0.46 % (19374)Instructions burned: 49 (million)
% 0.16/0.46 % (19374)------------------------------
% 0.16/0.46 % (19374)------------------------------
% 0.16/0.46 % (19376)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 0.16/0.46 % (19371)Instruction limit reached!
% 0.16/0.46 % (19371)------------------------------
% 0.16/0.46 % (19371)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.46 % (19371)Termination reason: Unknown
% 0.16/0.46 % (19371)Termination phase: Saturation
% 0.16/0.46
% 0.16/0.46 % (19371)Memory used [KB]: 6652
% 0.16/0.46 % (19371)Time elapsed: 0.029 s
% 0.16/0.46 % (19371)Instructions burned: 107 (million)
% 0.16/0.46 % (19371)------------------------------
% 0.16/0.46 % (19371)------------------------------
% 0.16/0.47 % (19377)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 (2998ds/149Mi)
% 0.16/0.47 % (19378)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.16/0.48 % (19375)Instruction limit reached!
% 0.16/0.48 % (19375)------------------------------
% 0.16/0.48 % (19375)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48 % (19375)Termination reason: Unknown
% 0.16/0.48 % (19375)Termination phase: Function definition elimination
% 0.16/0.48
% 0.16/0.48 % (19375)Memory used [KB]: 2046
% 0.16/0.48 % (19375)Time elapsed: 0.023 s
% 0.16/0.48 % (19375)Instructions burned: 106 (million)
% 0.16/0.48 % (19375)------------------------------
% 0.16/0.48 % (19375)------------------------------
% 0.16/0.48 % (19378)Instruction limit reached!
% 0.16/0.48 % (19378)------------------------------
% 0.16/0.48 % (19378)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.48 % (19378)Termination reason: Unknown
% 0.16/0.48 % (19378)Termination phase: Property scanning
% 0.16/0.48
% 0.16/0.48 % (19378)Memory used [KB]: 1663
% 0.16/0.48 % (19378)Time elapsed: 0.012 s
% 0.16/0.48 % (19378)Instructions burned: 39 (million)
% 0.16/0.48 % (19378)------------------------------
% 0.16/0.48 % (19378)------------------------------
% 0.16/0.49 % (19379)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 (2998ds/6Mi)
% 0.16/0.49 % (19379)Instruction limit reached!
% 0.16/0.49 % (19379)------------------------------
% 0.16/0.49 % (19379)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.49 % (19379)Termination reason: Unknown
% 0.16/0.49 % (19379)Termination phase: shuffling
% 0.16/0.49
% 0.16/0.49 % (19379)Memory used [KB]: 1407
% 0.16/0.49 % (19379)Time elapsed: 0.003 s
% 0.16/0.49 % (19379)Instructions burned: 6 (million)
% 0.16/0.49 % (19379)------------------------------
% 0.16/0.49 % (19379)------------------------------
% 0.16/0.49 % (19380)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 (2998ds/1087Mi)
% 0.16/0.49 % (19377)Instruction limit reached!
% 0.16/0.49 % (19377)------------------------------
% 0.16/0.49 % (19377)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.49 % (19377)Termination reason: Unknown
% 0.16/0.49 % (19377)Termination phase: Function definition elimination
% 0.16/0.49
% 0.16/0.49 % (19377)Memory used [KB]: 2046
% 0.16/0.49 % (19377)Time elapsed: 0.029 s
% 0.16/0.49 % (19377)Instructions burned: 149 (million)
% 0.16/0.49 % (19377)------------------------------
% 0.16/0.49 % (19377)------------------------------
% 0.16/0.50 % (19381)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2998ds/47Mi)
% 0.16/0.50 % (19373)First to succeed.
% 0.16/0.50 % (19373)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% 0.16/0.50 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.16/0.50 thf(func_def_4, type, in: $i > $i > $o).
% 0.16/0.50 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.16/0.50 thf(func_def_7, type, union: $i > $i).
% 0.16/0.50 thf(func_def_8, type, power: $i > $i).
% 0.16/0.50 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.16/0.50 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.16/0.50 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.16/0.50 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.16/0.50 thf(func_def_14, type, univof: $i > $i).
% 0.16/0.50 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.16/0.50 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.16/0.50 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.16/0.50 thf(func_def_18, type, d_Sing: $i > $i).
% 0.16/0.50 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.16/0.50 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.16/0.50 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.16/0.50 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.16/0.50 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.16/0.50 thf(func_def_26, type, ordsucc: $i > $i).
% 0.16/0.50 thf(func_def_27, type, nat_p: $i > $o).
% 0.16/0.50 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.16/0.50 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.16/0.50 thf(func_def_31, type, d_Unj: $i > $i).
% 0.16/0.50 thf(func_def_32, type, pair: $i > $i > $i).
% 0.16/0.50 thf(func_def_33, type, proj0: $i > $i).
% 0.16/0.50 thf(func_def_34, type, proj1: $i > $i).
% 0.16/0.50 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.16/0.50 thf(func_def_37, type, ap: $i > $i > $i).
% 0.16/0.50 thf(func_def_38, type, pair_p: $i > $o).
% 0.16/0.50 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_40, type, imp: $o > $o > $o).
% 0.16/0.50 thf(func_def_41, type, d_not: $o > $o).
% 0.16/0.50 thf(func_def_42, type, wel: $o > $o).
% 0.16/0.50 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.16/0.50 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.16/0.50 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.16/0.50 thf(func_def_47, type, orec: $o > $o > $o).
% 0.16/0.50 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.16/0.50 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.16/0.50 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.16/0.50 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.16/0.50 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.16/0.50 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.16/0.50 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.16/0.50 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.16/0.50 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.16/0.50 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_82, type, empty: $i > $i > $o).
% 0.16/0.50 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.16/0.50 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.16/0.50 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.16/0.50 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.16/0.50 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.16/0.50 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.16/0.50 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.16/0.50 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.16/0.50 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.16/0.50 thf(func_def_104, type, nis: $i > $i > $o).
% 0.16/0.50 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.16/0.50 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.16/0.50 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.16/0.50 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.16/0.50 thf(func_def_110, type, cond1: $i > $o).
% 0.16/0.50 thf(func_def_111, type, cond2: $i > $o).
% 0.16/0.50 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.16/0.50 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.16/0.50 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.16/0.50 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.16/0.50 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.16/0.50 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_118, type, prop4: $i > $o).
% 0.16/0.50 thf(func_def_119, type, d_24_g: $i > $i).
% 0.16/0.50 thf(func_def_120, type, plus: $i > $i).
% 0.16/0.50 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.16/0.50 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 0.16/0.50 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 0.16/0.50 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 0.16/0.50 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 0.16/0.50 thf(func_def_128, type, iii: $i > $i > $o).
% 0.16/0.50 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 0.16/0.50 thf(func_def_130, type, moreis: $i > $i > $o).
% 0.16/0.50 thf(func_def_131, type, lessis: $i > $i > $o).
% 0.16/0.50 thf(func_def_152, type, sK1: ($i > $i) > $i > ($i > $i) > $i).
% 0.16/0.50 thf(func_def_153, type, sK2: ($i > $o) > $i).
% 0.16/0.50 thf(f1655,plain,(
% 0.16/0.50 $false),
% 0.16/0.50 inference(trivial_inequality_removal,[],[f1654])).
% 0.16/0.50 thf(f1654,plain,(
% 0.16/0.50 ($true = $false)),
% 0.16/0.50 inference(backward_demodulation,[],[f1180,f1647])).
% 0.16/0.50 thf(f1647,plain,(
% 0.16/0.50 ($false = (d_29_ii @ sK5 @ sK6))),
% 0.16/0.50 inference(trivial_inequality_removal,[],[f1646])).
% 0.16/0.50 thf(f1646,plain,(
% 0.16/0.50 ($true = $false) | ($false = (d_29_ii @ sK5 @ sK6))),
% 0.16/0.50 inference(forward_demodulation,[],[f1645,f1163])).
% 0.16/0.50 thf(f1163,plain,(
% 0.16/0.50 ($true = (in @ sK3 @ nat))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1161])).
% 0.16/0.50 thf(f1161,plain,(
% 0.16/0.50 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y2 @ Y0)))))))))))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f1160])).
% 0.16/0.50 thf(f1160,plain,(
% 0.16/0.50 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1))))))))))))))) @ sK3) = $false)),
% 0.16/0.50 inference(sigma_clausification,[],[f1159])).
% 0.16/0.50 thf(f1159,plain,(
% 0.16/0.50 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1)))))))))))))))) = $false)),
% 0.16/0.50 inference(not_proxy_clausification,[],[f739])).
% 0.16/0.50 thf(f739,plain,(
% 0.16/0.50 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1))))))))))))))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f719])).
% 0.16/0.50 thf(f719,plain,(
% 0.16/0.50 ($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]: ((^[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 > $o]: ((^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (((^[Y6 : $i]: ((^[Y7 : $i > $o]: (Y7 @ Y6)))) @ Y5 @ Y3) => (Y4 @ Y5))))))) @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1))))))))))))))),
% 0.16/0.50 inference(definition_unfolding,[],[f675,f697,f697,f697,f697,f695])).
% 0.16/0.50 thf(f695,plain,(
% 0.16/0.50 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 0.16/0.50 inference(definition_unfolding,[],[f662,f646])).
% 0.16/0.50 thf(f646,plain,(
% 0.16/0.50 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.16/0.50 inference(cnf_transformation,[],[f469])).
% 0.16/0.50 thf(f469,plain,(
% 0.16/0.50 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.16/0.50 inference(fool_elimination,[],[f468])).
% 0.16/0.50 thf(f468,plain,(
% 0.16/0.50 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 0.16/0.50 inference(rectify,[],[f91])).
% 0.16/0.50 thf(f91,axiom,(
% 0.16/0.50 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 0.16/0.50 thf(f662,plain,(
% 0.16/0.50 (n_is = (e_is @ nat))),
% 0.16/0.50 inference(cnf_transformation,[],[f370])).
% 0.16/0.50 thf(f370,plain,(
% 0.16/0.50 (n_is = (e_is @ nat))),
% 0.16/0.50 inference(fool_elimination,[],[f157])).
% 0.16/0.50 thf(f157,axiom,(
% 0.16/0.50 (n_is = (e_is @ nat))),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 0.16/0.50 thf(f697,plain,(
% 0.16/0.50 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.16/0.50 inference(definition_unfolding,[],[f660,f634])).
% 0.16/0.50 thf(f634,plain,(
% 0.16/0.50 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.16/0.50 inference(cnf_transformation,[],[f262])).
% 0.16/0.50 thf(f262,plain,(
% 0.16/0.50 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.16/0.50 inference(fool_elimination,[],[f1])).
% 0.16/0.50 thf(f1,axiom,(
% 0.16/0.50 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 0.16/0.50 thf(f660,plain,(
% 0.16/0.50 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.16/0.50 inference(cnf_transformation,[],[f509])).
% 0.16/0.50 thf(f509,plain,(
% 0.16/0.50 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.16/0.50 inference(fool_elimination,[],[f508])).
% 0.16/0.50 thf(f508,plain,(
% 0.16/0.50 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.16/0.50 inference(rectify,[],[f2])).
% 0.16/0.50 thf(f2,axiom,(
% 0.16/0.50 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 0.16/0.50 thf(f675,plain,(
% 0.16/0.50 ($true = (~ (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]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: ((n_is @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1))))))))))))))),
% 0.16/0.50 inference(cnf_transformation,[],[f430])).
% 0.16/0.50 thf(f430,plain,(
% 0.16/0.50 ($true = (~ (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]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: ((n_is @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y3 @ Y1))))))))))))))),
% 0.16/0.50 inference(fool_elimination,[],[f429])).
% 0.16/0.50 thf(f429,plain,(
% 0.16/0.50 ~(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] : (all_of @ (^[X6 : $i] : (in @ X6 @ nat)) @ (^[X7 : $i] : ((n_is @ X1 @ X3) => ((d_29_ii @ X5 @ X7) => (d_29_ii @ (n_pl @ X5 @ X1) @ (n_pl @ X7 @ X3))))))))))))),
% 0.16/0.50 inference(rectify,[],[f246])).
% 0.16/0.50 thf(f246,negated_conjecture,(
% 0.16/0.50 ~(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] : (all_of @ (^[X3 : $i] : (in @ X3 @ nat)) @ (^[X3 : $i] : ((n_is @ X0 @ X1) => ((d_29_ii @ X2 @ X3) => (d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X3 @ X1))))))))))))),
% 0.16/0.50 inference(negated_conjecture,[],[f245])).
% 0.16/0.50 thf(f245,conjecture,(
% 0.16/0.50 (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] : (all_of @ (^[X3 : $i] : (in @ X3 @ nat)) @ (^[X3 : $i] : ((n_is @ X0 @ X1) => ((d_29_ii @ X2 @ X3) => (d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X3 @ X1))))))))))))),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19h)).
% 0.16/0.50 thf(f1645,plain,(
% 0.16/0.50 ($false = (d_29_ii @ sK5 @ sK6)) | ($false = (in @ sK3 @ nat))),
% 0.16/0.50 inference(trivial_inequality_removal,[],[f1644])).
% 0.16/0.50 thf(f1644,plain,(
% 0.16/0.50 ($false = (d_29_ii @ sK5 @ sK6)) | ($true = $false) | ($false = (in @ sK3 @ nat))),
% 0.16/0.50 inference(forward_demodulation,[],[f1643,f1175])).
% 0.16/0.50 thf(f1175,plain,(
% 0.16/0.50 ($true = (in @ sK6 @ nat))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1173])).
% 0.16/0.50 thf(f1173,plain,(
% 0.16/0.50 ($false = ((in @ sK6 @ nat) => ((sK3 = sK4) => ((d_29_ii @ sK5 @ sK6) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK6 @ sK4))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f1172])).
% 0.16/0.50 thf(f1172,plain,(
% 0.16/0.50 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = sK4) => ((d_29_ii @ sK5 @ Y0) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ Y0 @ sK4)))))) @ sK6) = $false)),
% 0.16/0.50 inference(sigma_clausification,[],[f1170])).
% 0.16/0.50 thf(f1170,plain,(
% 0.16/0.50 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = sK4) => ((d_29_ii @ sK5 @ Y0) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ Y0 @ sK4))))))))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1169])).
% 0.16/0.50 thf(f1169,plain,(
% 0.16/0.50 ($false = ((in @ sK5 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK3 = sK4) => ((d_29_ii @ sK5 @ Y0) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ Y0 @ sK4)))))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f1168])).
% 0.16/0.50 thf(f1168,plain,(
% 0.16/0.50 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = sK4) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y1 @ sK4))))))))) @ sK5) = $false)),
% 0.16/0.50 inference(sigma_clausification,[],[f1166])).
% 0.16/0.50 thf(f1166,plain,(
% 0.16/0.50 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = sK4) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y1 @ sK4)))))))))) = $false)),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1165])).
% 0.16/0.50 thf(f1165,plain,(
% 0.16/0.50 ($false = ((in @ sK4 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK3 = sK4) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ sK3) @ (n_pl @ Y1 @ sK4))))))))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f1164])).
% 0.16/0.50 thf(f1164,plain,(
% 0.16/0.50 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y2 @ Y0)))))))))))) @ sK4))),
% 0.16/0.50 inference(sigma_clausification,[],[f1162])).
% 0.16/0.50 thf(f1162,plain,(
% 0.16/0.50 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK3 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ Y1 @ sK3) @ (n_pl @ Y2 @ Y0))))))))))))) = $false)),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1161])).
% 0.16/0.50 thf(f1643,plain,(
% 0.16/0.50 ($false = (in @ sK6 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (d_29_ii @ sK5 @ sK6))),
% 0.16/0.50 inference(trivial_inequality_removal,[],[f1642])).
% 0.16/0.50 thf(f1642,plain,(
% 0.16/0.50 ($false = (in @ sK6 @ nat)) | ($false = (d_29_ii @ sK5 @ sK6)) | ($false = (in @ sK3 @ nat)) | ($true = $false)),
% 0.16/0.50 inference(forward_demodulation,[],[f1628,f1171])).
% 0.16/0.50 thf(f1171,plain,(
% 0.16/0.50 ($true = (in @ sK5 @ nat))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1169])).
% 0.16/0.50 thf(f1628,plain,(
% 0.16/0.50 ($false = (in @ sK5 @ nat)) | ($false = (in @ sK3 @ nat)) | ($false = (in @ sK6 @ nat)) | ($false = (d_29_ii @ sK5 @ sK6))),
% 0.16/0.50 inference(trivial_inequality_removal,[],[f1620])).
% 0.16/0.50 thf(f1620,plain,(
% 0.16/0.50 ($false = (d_29_ii @ sK5 @ sK6)) | ($false = (in @ sK5 @ nat)) | ($true = $false) | ($false = (in @ sK6 @ nat)) | ($false = (in @ sK3 @ nat))),
% 0.16/0.50 inference(superposition,[],[f990,f1186])).
% 0.16/0.50 thf(f1186,plain,(
% 0.16/0.50 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK6 @ sK3)))),
% 0.16/0.50 inference(forward_demodulation,[],[f1179,f1178])).
% 0.16/0.50 thf(f1178,plain,(
% 0.16/0.50 (sK3 = sK4)),
% 0.16/0.50 inference(equality_proxy_clausification,[],[f1177])).
% 0.16/0.50 thf(f1177,plain,(
% 0.16/0.50 ($true = (sK3 = sK4))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1174])).
% 0.16/0.50 thf(f1174,plain,(
% 0.16/0.50 (((sK3 = sK4) => ((d_29_ii @ sK5 @ sK6) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK6 @ sK4)))) = $false)),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1173])).
% 0.16/0.50 thf(f1179,plain,(
% 0.16/0.50 ($false = (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK6 @ sK4)))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1176])).
% 0.16/0.50 thf(f1176,plain,(
% 0.16/0.50 (((d_29_ii @ sK5 @ sK6) => (d_29_ii @ (n_pl @ sK5 @ sK3) @ (n_pl @ sK6 @ sK4))) = $false)),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1174])).
% 0.16/0.50 thf(f990,plain,(
% 0.16/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((d_29_ii @ X1 @ X2) = $false)) )),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f989])).
% 0.16/0.50 thf(f989,plain,(
% 0.16/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ($true = ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))))) )),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f988])).
% 0.16/0.50 thf(f988,plain,(
% 0.16/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ X3) @ (n_pl @ X2 @ X3))))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )),
% 0.16/0.50 inference(beta_eta_normalization,[],[f987])).
% 0.16/0.50 thf(f987,plain,(
% 0.16/0.50 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0))))) @ X3)) | ((in @ X1 @ nat) = $false)) )),
% 0.16/0.50 inference(pi_clausification,[],[f986])).
% 0.16/0.50 thf(f986,plain,(
% 0.16/0.50 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0))))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f985])).
% 0.16/0.50 thf(f985,plain,(
% 0.16/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X1 @ Y0) @ (n_pl @ X2 @ Y0)))))))) | ((in @ X1 @ nat) = $false)) )),
% 0.16/0.50 inference(beta_eta_normalization,[],[f984])).
% 0.16/0.50 thf(f984,plain,(
% 0.16/0.50 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)))))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 0.16/0.50 inference(pi_clausification,[],[f983])).
% 0.16/0.50 thf(f983,plain,(
% 0.16/0.50 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1))))))))))) )),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f982])).
% 0.16/0.50 thf(f982,plain,(
% 0.16/0.50 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ X1 @ Y1) @ (n_pl @ Y0 @ Y1)))))))))))) )),
% 0.16/0.50 inference(beta_eta_normalization,[],[f981])).
% 0.16/0.50 thf(f981,plain,(
% 0.16/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))) @ X1))) )),
% 0.16/0.50 inference(pi_clausification,[],[f758])).
% 0.16/0.50 thf(f758,plain,(
% 0.16/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)))))))))))))),
% 0.16/0.50 inference(beta_eta_normalization,[],[f700])).
% 0.16/0.50 thf(f700,plain,(
% 0.16/0.50 (((^[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]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))) = $true)),
% 0.16/0.50 inference(definition_unfolding,[],[f636,f697,f697,f697])).
% 0.16/0.50 thf(f636,plain,(
% 0.16/0.50 ($true = (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 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))),
% 0.16/0.50 inference(cnf_transformation,[],[f496])).
% 0.16/0.50 thf(f496,plain,(
% 0.16/0.50 ($true = (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]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))),
% 0.16/0.50 inference(fool_elimination,[],[f495])).
% 0.16/0.50 thf(f495,plain,(
% 0.16/0.50 (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] : ((d_29_ii @ X1 @ X3) => (d_29_ii @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)))))))))),
% 0.16/0.50 inference(rectify,[],[f238])).
% 0.16/0.50 thf(f238,axiom,(
% 0.16/0.50 (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 : $i] : ((d_29_ii @ X0 @ X1) => (d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)))))))))),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19a)).
% 0.16/0.50 thf(f1180,plain,(
% 0.16/0.50 ($true = (d_29_ii @ sK5 @ sK6))),
% 0.16/0.50 inference(binary_proxy_clausification,[],[f1176])).
% 0.16/0.50 % SZS output end Proof for theBenchmark
% 0.16/0.50 % (19373)------------------------------
% 0.16/0.50 % (19373)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.50 % (19373)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (19373)Memory used [KB]: 6908
% 0.16/0.50 % (19373)Time elapsed: 0.058 s
% 0.16/0.50 % (19373)Instructions burned: 193 (million)
% 0.16/0.50 % (19373)------------------------------
% 0.16/0.50 % (19373)------------------------------
% 0.16/0.50 % (19332)Success in time 0.191 s
% 0.16/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------