TSTP Solution File: ITP131^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP131^2 : TPTP v8.2.0. Released v7.5.0.
% 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 : n010.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 : Mon May 20 22:33:53 EDT 2024
% Result : ContradictoryAxioms 1.67s 0.59s
% Output : Refutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : ITP131^2 : TPTP v8.2.0. Released v7.5.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n010.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 17:04:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a TH1_THM_EQU_NAR problem
% 0.16/0.36 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
% 0.16/0.39 % (14557)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.39 % (14559)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)
% 0.16/0.39 % (14560)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.39 % (14558)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)
% 0.16/0.39 % (14561)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)
% 0.16/0.39 % (14562)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)
% 0.16/0.39 % (14563)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.39 % (14564)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)
% 0.16/0.39 % (14560)Instruction limit reached!
% 0.16/0.39 % (14560)------------------------------
% 0.16/0.39 % (14560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (14560)Termination reason: Unknown
% 0.16/0.39 % (14560)Termination phase: shuffling
% 0.16/0.39 % (14561)Instruction limit reached!
% 0.16/0.39 % (14561)------------------------------
% 0.16/0.39 % (14561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.39 % (14561)Termination reason: Unknown
% 0.16/0.39 % (14561)Termination phase: shuffling
% 0.16/0.39
% 0.16/0.39 % (14561)Memory used [KB]: 1279
% 0.16/0.39 % (14561)Time elapsed: 0.004 s
% 0.16/0.39 % (14561)Instructions burned: 3 (million)
% 0.16/0.39 % (14561)------------------------------
% 0.16/0.39 % (14561)------------------------------
% 0.16/0.39
% 0.16/0.39 % (14560)Memory used [KB]: 1279
% 0.16/0.39 % (14560)Time elapsed: 0.004 s
% 0.16/0.39 % (14560)Instructions burned: 3 (million)
% 0.16/0.40 % (14560)------------------------------
% 0.16/0.40 % (14560)------------------------------
% 0.16/0.40 % (14558)Instruction limit reached!
% 0.16/0.40 % (14558)------------------------------
% 0.16/0.40 % (14558)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (14558)Termination reason: Unknown
% 0.16/0.40 % (14558)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (14558)Memory used [KB]: 1279
% 0.16/0.40 % (14558)Time elapsed: 0.004 s
% 0.16/0.40 % (14558)Instructions burned: 5 (million)
% 0.16/0.40 % (14558)------------------------------
% 0.16/0.40 % (14558)------------------------------
% 0.16/0.40 % (14564)Instruction limit reached!
% 0.16/0.40 % (14564)------------------------------
% 0.16/0.40 % (14564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.40 % (14564)Termination reason: Unknown
% 0.16/0.40 % (14564)Termination phase: shuffling
% 0.16/0.40
% 0.16/0.40 % (14564)Memory used [KB]: 1279
% 0.16/0.40 % (14564)Time elapsed: 0.005 s
% 0.16/0.40 % (14564)Instructions burned: 4 (million)
% 0.16/0.40 % (14564)------------------------------
% 0.16/0.40 % (14564)------------------------------
% 0.16/0.41 % (14563)Instruction limit reached!
% 0.16/0.41 % (14563)------------------------------
% 0.16/0.41 % (14563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (14563)Termination reason: Unknown
% 0.16/0.41 % (14563)Termination phase: Property scanning
% 0.16/0.41
% 0.16/0.41 % (14563)Memory used [KB]: 1535
% 0.16/0.41 % (14563)Time elapsed: 0.014 s
% 0.16/0.41 % (14563)Instructions burned: 18 (million)
% 0.16/0.41 % (14563)------------------------------
% 0.16/0.41 % (14563)------------------------------
% 0.16/0.41 % (14559)Instruction limit reached!
% 0.16/0.41 % (14559)------------------------------
% 0.16/0.41 % (14559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (14559)Termination reason: Unknown
% 0.16/0.41 % (14559)Termination phase: Preprocessing 1
% 0.16/0.41
% 0.16/0.41 % (14559)Memory used [KB]: 1535
% 0.16/0.41 % (14559)Time elapsed: 0.018 s
% 0.16/0.41 % (14559)Instructions burned: 27 (million)
% 0.16/0.41 % (14559)------------------------------
% 0.16/0.41 % (14559)------------------------------
% 0.16/0.41 % (14562)Refutation not found, incomplete strategy
% 0.16/0.41 % (14562)------------------------------
% 0.16/0.41 % (14562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (14562)Termination reason: Refutation not found, incomplete strategy
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 % (14562)Memory used [KB]: 6012
% 0.16/0.41 % (14562)Time elapsed: 0.018 s
% 0.16/0.41 % (14562)Instructions burned: 27 (million)
% 0.16/0.41 % (14565)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)
% 0.16/0.41 % (14562)------------------------------
% 0.16/0.41 % (14562)------------------------------
% 0.16/0.41 % (14566)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)
% 0.16/0.41 % (14567)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)
% 0.16/0.41 % (14569)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)
% 0.16/0.41 % (14567)Instruction limit reached!
% 0.16/0.41 % (14567)------------------------------
% 0.16/0.41 % (14567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.41 % (14567)Termination reason: Unknown
% 0.16/0.41 % (14567)Termination phase: shuffling
% 0.16/0.41
% 0.16/0.41 % (14567)Memory used [KB]: 1279
% 0.16/0.41 % (14567)Time elapsed: 0.004 s
% 0.16/0.41 % (14567)Instructions burned: 3 (million)
% 0.16/0.41 % (14567)------------------------------
% 0.16/0.41 % (14567)------------------------------
% 0.16/0.42 % (14566)Instruction limit reached!
% 0.16/0.42 % (14566)------------------------------
% 0.16/0.42 % (14566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (14566)Termination reason: Unknown
% 0.16/0.42 % (14566)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (14566)Memory used [KB]: 1535
% 0.16/0.42 % (14566)Time elapsed: 0.012 s
% 0.16/0.42 % (14566)Instructions burned: 15 (million)
% 0.16/0.42 % (14566)------------------------------
% 0.16/0.42 % (14566)------------------------------
% 0.16/0.42 % (14570)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.42 % (14571)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.16/0.42 % (14570)Instruction limit reached!
% 0.16/0.42 % (14570)------------------------------
% 0.16/0.42 % (14570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (14570)Termination reason: Unknown
% 0.16/0.42 % (14570)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (14570)Memory used [KB]: 1407
% 0.16/0.42 % (14570)Time elapsed: 0.007 s
% 0.16/0.42 % (14570)Instructions burned: 8 (million)
% 0.16/0.43 % (14570)------------------------------
% 0.16/0.43 % (14570)------------------------------
% 0.16/0.43 % (14572)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)
% 0.16/0.43 % (14572)Instruction limit reached!
% 0.16/0.43 % (14572)------------------------------
% 0.16/0.43 % (14572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (14572)Termination reason: Unknown
% 0.16/0.43 % (14572)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (14572)Memory used [KB]: 1279
% 0.16/0.43 % (14572)Time elapsed: 0.004 s
% 0.16/0.43 % (14572)Instructions burned: 3 (million)
% 0.16/0.43 % (14572)------------------------------
% 0.16/0.43 % (14572)------------------------------
% 0.16/0.43 % (14573)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)
% 0.16/0.43 % (14565)Instruction limit reached!
% 0.16/0.43 % (14565)------------------------------
% 0.16/0.43 % (14565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (14565)Termination reason: Unknown
% 0.16/0.43 % (14565)Termination phase: Property scanning
% 0.16/0.43
% 0.16/0.43 % (14565)Memory used [KB]: 1918
% 0.16/0.43 % (14565)Time elapsed: 0.021 s
% 0.16/0.43 % (14565)Instructions burned: 37 (million)
% 0.16/0.43 % (14565)------------------------------
% 0.16/0.43 % (14565)------------------------------
% 0.22/0.43 % (14573)Instruction limit reached!
% 0.22/0.43 % (14573)------------------------------
% 0.22/0.43 % (14573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (14573)Termination reason: Unknown
% 0.22/0.43 % (14573)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (14573)Memory used [KB]: 1279
% 0.22/0.43 % (14573)Time elapsed: 0.004 s
% 0.22/0.43 % (14573)Instructions burned: 3 (million)
% 0.22/0.43 % (14573)------------------------------
% 0.22/0.43 % (14573)------------------------------
% 0.22/0.43 % (14571)Instruction limit reached!
% 0.22/0.43 % (14571)------------------------------
% 0.22/0.43 % (14571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (14571)Termination reason: Unknown
% 0.22/0.43 % (14571)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (14571)Memory used [KB]: 1535
% 0.22/0.43 % (14571)Time elapsed: 0.013 s
% 0.22/0.43 % (14571)Instructions burned: 16 (million)
% 0.22/0.43 % (14571)------------------------------
% 0.22/0.43 % (14571)------------------------------
% 0.22/0.44 % (14574)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 % (14575)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 % (14574)Instruction limit reached!
% 0.22/0.44 % (14574)------------------------------
% 0.22/0.44 % (14574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (14574)Termination reason: Unknown
% 0.22/0.44 % (14574)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (14574)Memory used [KB]: 1407
% 0.22/0.44 % (14574)Time elapsed: 0.007 s
% 0.22/0.44 % (14574)Instructions burned: 7 (million)
% 0.22/0.44 % (14574)------------------------------
% 0.22/0.44 % (14574)------------------------------
% 0.22/0.44 % (14575)Instruction limit reached!
% 0.22/0.44 % (14575)------------------------------
% 0.22/0.44 % (14575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (14575)Termination reason: Unknown
% 0.22/0.44 % (14575)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (14575)Memory used [KB]: 1279
% 0.22/0.44 % (14575)Time elapsed: 0.004 s
% 0.22/0.44 % (14575)Instructions burned: 3 (million)
% 0.22/0.44 % (14575)------------------------------
% 0.22/0.44 % (14575)------------------------------
% 0.22/0.44 % (14577)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 % (14578)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 % (14576)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.45 % (14576)Instruction limit reached!
% 0.22/0.45 % (14576)------------------------------
% 0.22/0.45 % (14576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (14576)Termination reason: Unknown
% 0.22/0.45 % (14576)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (14576)Memory used [KB]: 1279
% 0.22/0.45 % (14576)Time elapsed: 0.005 s
% 0.22/0.45 % (14576)Instructions burned: 4 (million)
% 0.22/0.45 % (14576)------------------------------
% 0.22/0.45 % (14576)------------------------------
% 0.22/0.45 % (14580)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.45 % (14580)Instruction limit reached!
% 0.22/0.45 % (14580)------------------------------
% 0.22/0.45 % (14580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (14580)Termination reason: Unknown
% 0.22/0.45 % (14580)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (14580)Memory used [KB]: 1279
% 0.22/0.45 % (14580)Time elapsed: 0.006 s
% 0.22/0.45 % (14580)Instructions burned: 6 (million)
% 0.22/0.45 % (14580)------------------------------
% 0.22/0.45 % (14580)------------------------------
% 0.22/0.46 % (14583)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.22/0.46 % (14577)Instruction limit reached!
% 0.22/0.46 % (14577)------------------------------
% 0.22/0.46 % (14577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (14577)Termination reason: Unknown
% 0.22/0.46 % (14577)Termination phase: Property scanning
% 0.22/0.46
% 0.22/0.46 % (14577)Memory used [KB]: 1535
% 0.22/0.46 % (14577)Time elapsed: 0.014 s
% 0.22/0.46 % (14577)Instructions burned: 18 (million)
% 0.22/0.46 % (14577)------------------------------
% 0.22/0.46 % (14577)------------------------------
% 0.22/0.46 % (14584)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)
% 0.22/0.46 % (14578)Refutation not found, incomplete strategy
% 0.22/0.46 % (14578)------------------------------
% 0.22/0.46 % (14578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.46 % (14578)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 % (14578)Memory used [KB]: 6012
% 0.22/0.46 % (14578)Time elapsed: 0.018 s
% 0.22/0.46 % (14578)Instructions burned: 26 (million)
% 0.22/0.46 % (14578)------------------------------
% 0.22/0.46 % (14578)------------------------------
% 0.22/0.47 % (14587)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.47 % (14589)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 % (14587)Instruction limit reached!
% 0.22/0.47 % (14587)------------------------------
% 0.22/0.47 % (14587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (14587)Termination reason: Unknown
% 0.22/0.47 % (14587)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (14587)Memory used [KB]: 1279
% 0.22/0.47 % (14587)Time elapsed: 0.005 s
% 0.22/0.47 % (14587)Instructions burned: 5 (million)
% 0.22/0.47 % (14587)------------------------------
% 0.22/0.47 % (14587)------------------------------
% 0.22/0.47 % (14589)Instruction limit reached!
% 0.22/0.47 % (14589)------------------------------
% 0.22/0.47 % (14589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (14589)Termination reason: Unknown
% 0.22/0.47 % (14591)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 % (14589)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (14589)Memory used [KB]: 1279
% 0.22/0.47 % (14589)Time elapsed: 0.005 s
% 0.22/0.47 % (14589)Instructions burned: 6 (million)
% 0.22/0.47 % (14589)------------------------------
% 0.22/0.47 % (14589)------------------------------
% 0.22/0.47 % (14584)Instruction limit reached!
% 0.22/0.47 % (14584)------------------------------
% 0.22/0.47 % (14584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (14584)Termination reason: Unknown
% 0.22/0.47 % (14584)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (14584)Memory used [KB]: 1535
% 0.22/0.47 % (14584)Time elapsed: 0.015 s
% 0.22/0.47 % (14584)Instructions burned: 21 (million)
% 0.22/0.47 % (14584)------------------------------
% 0.22/0.47 % (14584)------------------------------
% 0.22/0.48 % (14592)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 % (14595)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)
% 0.22/0.49 % (14596)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)
% 0.22/0.49 % (14599)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.22/0.50 % (14595)Instruction limit reached!
% 0.22/0.50 % (14595)------------------------------
% 0.22/0.50 % (14595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (14595)Termination reason: Unknown
% 0.22/0.50 % (14595)Termination phase: shuffling
% 0.22/0.50
% 0.22/0.50 % (14595)Memory used [KB]: 1535
% 0.22/0.50 % (14595)Time elapsed: 0.014 s
% 0.22/0.50 % (14595)Instructions burned: 20 (million)
% 0.22/0.50 % (14595)------------------------------
% 0.22/0.50 % (14595)------------------------------
% 0.22/0.50 % (14599)Instruction limit reached!
% 0.22/0.50 % (14599)------------------------------
% 0.22/0.50 % (14599)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (14599)Termination reason: Unknown
% 0.22/0.50 % (14599)Termination phase: Property scanning
% 0.22/0.50
% 0.22/0.50 % (14599)Memory used [KB]: 1535
% 0.22/0.50 % (14599)Time elapsed: 0.012 s
% 0.22/0.50 % (14599)Instructions burned: 17 (million)
% 0.22/0.50 % (14599)------------------------------
% 0.22/0.50 % (14599)------------------------------
% 0.22/0.50 % (14583)Refutation not found, incomplete strategy
% 0.22/0.50 % (14583)------------------------------
% 0.22/0.50 % (14583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (14583)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (14583)Memory used [KB]: 6396
% 0.22/0.50 % (14583)Time elapsed: 0.046 s
% 0.22/0.50 % (14583)Instructions burned: 70 (million)
% 0.22/0.50 % (14583)------------------------------
% 0.22/0.50 % (14583)------------------------------
% 0.22/0.50 % (14596)Refutation not found, incomplete strategy
% 0.22/0.50 % (14596)------------------------------
% 0.22/0.50 % (14596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (14596)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (14596)Memory used [KB]: 6012
% 0.22/0.50 % (14596)Time elapsed: 0.019 s
% 0.22/0.50 % (14596)Instructions burned: 31 (million)
% 0.22/0.50 % (14596)------------------------------
% 0.22/0.50 % (14596)------------------------------
% 0.22/0.51 % (14557)Instruction limit reached!
% 0.22/0.51 % (14557)------------------------------
% 0.22/0.51 % (14557)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (14557)Termination reason: Unknown
% 0.22/0.51 % (14557)Termination phase: Saturation
% 0.22/0.51
% 0.22/0.51 % (14557)Memory used [KB]: 6780
% 0.22/0.51 % (14557)Time elapsed: 0.114 s
% 0.22/0.51 % (14557)Instructions burned: 184 (million)
% 0.22/0.51 % (14557)------------------------------
% 0.22/0.51 % (14557)------------------------------
% 0.22/0.51 % (14614)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.51 % (14614)Instruction limit reached!
% 0.22/0.51 % (14614)------------------------------
% 0.22/0.51 % (14614)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.51 % (14614)Termination reason: Unknown
% 0.22/0.51 % (14614)Termination phase: shuffling
% 0.22/0.51
% 0.22/0.51 % (14614)Memory used [KB]: 1279
% 0.22/0.51 % (14614)Time elapsed: 0.003 s
% 0.22/0.51 % (14614)Instructions burned: 5 (million)
% 0.22/0.51 % (14614)------------------------------
% 0.22/0.51 % (14614)------------------------------
% 0.22/0.51 % (14615)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.51 % (14617)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)
% 0.22/0.52 % (14619)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)
% 0.22/0.52 % (14621)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)
% 0.22/0.52 % (14623)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)
% 0.22/0.52 % (14621)Instruction limit reached!
% 0.22/0.52 % (14621)------------------------------
% 0.22/0.52 % (14621)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (14621)Termination reason: Unknown
% 0.22/0.52 % (14621)Termination phase: shuffling
% 0.22/0.52
% 0.22/0.52 % (14621)Memory used [KB]: 1279
% 0.22/0.52 % (14621)Time elapsed: 0.002 s
% 0.22/0.52 % (14621)Instructions burned: 3 (million)
% 0.22/0.52 % (14621)------------------------------
% 0.22/0.52 % (14621)------------------------------
% 0.22/0.52 % (14615)Instruction limit reached!
% 0.22/0.52 % (14615)------------------------------
% 0.22/0.52 % (14615)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (14615)Termination reason: Unknown
% 0.22/0.52 % (14615)Termination phase: Preprocessing 3
% 0.22/0.52
% 0.22/0.52 % (14615)Memory used [KB]: 1663
% 0.22/0.52 % (14615)Time elapsed: 0.012 s
% 0.22/0.52 % (14615)Instructions burned: 31 (million)
% 0.22/0.52 % (14615)------------------------------
% 0.22/0.52 % (14615)------------------------------
% 0.22/0.52 % (14623)Instruction limit reached!
% 0.22/0.52 % (14623)------------------------------
% 0.22/0.52 % (14623)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (14623)Termination reason: Unknown
% 0.22/0.52 % (14623)Termination phase: Property scanning
% 0.22/0.52
% 0.22/0.52 % (14623)Memory used [KB]: 1535
% 0.22/0.52 % (14623)Time elapsed: 0.009 s
% 0.22/0.52 % (14623)Instructions burned: 20 (million)
% 0.22/0.52 % (14623)------------------------------
% 0.22/0.52 % (14623)------------------------------
% 0.22/0.53 % (14632)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)
% 0.22/0.53 % (14637)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)
% 0.22/0.53 % (14644)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)
% 0.22/0.54 % (14637)Refutation not found, incomplete strategy
% 0.22/0.54 % (14637)------------------------------
% 0.22/0.54 % (14637)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (14637)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54
% 0.22/0.54 % (14637)Memory used [KB]: 6012
% 0.22/0.54 % (14637)Time elapsed: 0.011 s
% 0.22/0.54 % (14637)Instructions burned: 28 (million)
% 0.22/0.54 % (14637)------------------------------
% 0.22/0.54 % (14637)------------------------------
% 0.22/0.55 % (14619)Instruction limit reached!
% 0.22/0.55 % (14619)------------------------------
% 0.22/0.55 % (14619)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (14619)Termination reason: Unknown
% 0.22/0.55 % (14619)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (14619)Memory used [KB]: 6524
% 0.22/0.55 % (14619)Time elapsed: 0.033 s
% 0.22/0.55 % (14619)Instructions burned: 101 (million)
% 0.22/0.55 % (14619)------------------------------
% 0.22/0.55 % (14619)------------------------------
% 0.22/0.55 % (14644)Instruction limit reached!
% 0.22/0.55 % (14644)------------------------------
% 0.22/0.55 % (14644)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (14644)Termination reason: Unknown
% 0.22/0.55 % (14644)Termination phase: Property scanning
% 0.22/0.55
% 0.22/0.55 % (14644)Memory used [KB]: 1918
% 0.22/0.55 % (14644)Time elapsed: 0.016 s
% 0.22/0.55 % (14644)Instructions burned: 40 (million)
% 0.22/0.55 % (14644)------------------------------
% 0.22/0.55 % (14644)------------------------------
% 0.22/0.55 % (14655)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)
% 0.22/0.55 % (14617)Instruction limit reached!
% 0.22/0.55 % (14617)------------------------------
% 0.22/0.55 % (14617)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (14617)Termination reason: Unknown
% 0.22/0.55 % (14617)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (14617)Memory used [KB]: 6652
% 0.22/0.55 % (14617)Time elapsed: 0.047 s
% 0.22/0.55 % (14617)Instructions burned: 129 (million)
% 0.22/0.55 % (14617)------------------------------
% 0.22/0.55 % (14617)------------------------------
% 0.22/0.55 % (14632)Instruction limit reached!
% 0.22/0.55 % (14632)------------------------------
% 0.22/0.55 % (14632)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.55 % (14632)Termination reason: Unknown
% 0.22/0.55 % (14632)Termination phase: Saturation
% 0.22/0.55
% 0.22/0.55 % (14632)Memory used [KB]: 6524
% 0.22/0.55 % (14632)Time elapsed: 0.030 s
% 0.22/0.55 % (14632)Instructions burned: 86 (million)
% 0.22/0.55 % (14632)------------------------------
% 0.22/0.55 % (14632)------------------------------
% 1.54/0.56 % (14664)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 1.54/0.56 % (14666)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 1.54/0.56 % (14671)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2998ds/507Mi)
% 1.54/0.56 % (14672)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)
% 1.54/0.57 % (14664)Refutation not found, incomplete strategy
% 1.54/0.57 % (14664)------------------------------
% 1.54/0.57 % (14664)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.54/0.57 % (14664)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.57
% 1.54/0.57
% 1.54/0.57 % (14664)Memory used [KB]: 6012
% 1.54/0.57 % (14664)Time elapsed: 0.011 s
% 1.54/0.57 % (14664)Instructions burned: 29 (million)
% 1.54/0.57 % (14664)------------------------------
% 1.54/0.57 % (14664)------------------------------
% 1.67/0.57 % (14676)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 1.67/0.59 % (14676)Instruction limit reached!
% 1.67/0.59 % (14676)------------------------------
% 1.67/0.59 % (14676)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.67/0.59 % (14676)Termination reason: Unknown
% 1.67/0.59 % (14676)Termination phase: Property scanning
% 1.67/0.59
% 1.67/0.59 % (14676)Memory used [KB]: 1663
% 1.67/0.59 % (14676)Time elapsed: 0.015 s
% 1.67/0.59 % (14676)Instructions burned: 41 (million)
% 1.67/0.59 % (14676)------------------------------
% 1.67/0.59 % (14676)------------------------------
% 1.67/0.59 % (14671)Refutation not found, incomplete strategy
% 1.67/0.59 % (14671)------------------------------
% 1.67/0.59 % (14671)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.67/0.59 % (14671)Termination reason: Refutation not found, incomplete strategy
% 1.67/0.59
% 1.67/0.59
% 1.67/0.59 % (14671)Memory used [KB]: 6652
% 1.67/0.59 % (14671)Time elapsed: 0.026 s
% 1.67/0.59 % (14671)Instructions burned: 75 (million)
% 1.67/0.59 % (14671)------------------------------
% 1.67/0.59 % (14671)------------------------------
% 1.67/0.59 % (14569)First to succeed.
% 1.67/0.59 % (14666)Instruction limit reached!
% 1.67/0.59 % (14666)------------------------------
% 1.67/0.59 % (14666)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.67/0.59 % (14666)Termination reason: Unknown
% 1.67/0.59 % (14666)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (14666)Memory used [KB]: 2046
% 1.67/0.59 % (14666)Time elapsed: 0.029 s
% 1.67/0.59 % (14666)Instructions burned: 98 (million)
% 1.67/0.59 % (14666)------------------------------
% 1.67/0.59 % (14666)------------------------------
% 1.67/0.59 % (14569)Refutation found. Thanks to Tanya!
% 1.67/0.59 % SZS status ContradictoryAxioms for theBenchmark
% 1.67/0.59 % SZS output start Proof for theBenchmark
% 1.67/0.59 thf(type_def_6, type, nat: $tType).
% 1.67/0.59 thf(func_def_0, type, nat: $tType).
% 1.67/0.59 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_2, type, group_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_3, type, monoid_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_4, type, ab_group_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_5, type, wellorder: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_6, type, semigroup_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_7, type, semigroup_mult: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_8, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_9, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_10, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_11, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_12, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_13, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_14, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_15, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_16, type, linord219039673up_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_17, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_18, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_19, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_20, type, ordere223160158up_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_21, type, ordere623563068d_diff: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_22, type, strict2144017051up_add: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_23, type, ordere516151231imp_le: !>[X0: $tType]:($o)).
% 1.67/0.59 thf(func_def_24, type, minus_minus: !>[X0: $tType]:(X0 > X0 > X0)).
% 1.67/0.59 thf(func_def_25, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 1.67/0.59 thf(func_def_26, type, times_times: !>[X0: $tType]:(X0 > X0 > X0)).
% 1.67/0.59 thf(func_def_27, type, zero_zero: !>[X0: $tType]:(X0)).
% 1.67/0.59 thf(func_def_28, type, number2016821345itions: (nat > nat) > nat > $o).
% 1.67/0.59 thf(func_def_29, type, ord_less: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.67/0.59 thf(func_def_30, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 1.67/0.59 thf(func_def_31, type, i: nat).
% 1.67/0.59 thf(func_def_32, type, k: nat).
% 1.67/0.59 thf(func_def_33, type, n: nat).
% 1.67/0.59 thf(func_def_34, type, p: nat > nat).
% 1.67/0.59 thf(func_def_52, type, ph1: !>[X0: $tType]:(X0)).
% 1.67/0.59 thf(f2824,plain,(
% 1.67/0.59 $false),
% 1.67/0.59 inference(trivial_inequality_removal,[],[f2823])).
% 1.67/0.59 thf(f2823,plain,(
% 1.67/0.59 ($false = $true)),
% 1.67/0.59 inference(equality_proxy_clausification,[],[f2790])).
% 1.67/0.59 thf(f2790,plain,(
% 1.67/0.59 (($true = $false) = $true)),
% 1.67/0.59 inference(forward_demodulation,[],[f2773,f1990])).
% 1.67/0.59 thf(f1990,plain,(
% 1.67/0.59 ($true = (ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ k @ (p @ k)))))),
% 1.67/0.59 inference(forward_demodulation,[],[f1987,f1985])).
% 1.67/0.59 thf(f1985,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (((times_times @ nat @ X1 @ X2) = (times_times @ nat @ X2 @ X1))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f1984])).
% 1.67/0.59 thf(f1984,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (((times_times @ nat @ X1 @ X2) = ((^[Y0 : nat]: (times_times @ nat @ Y0 @ X1)) @ X2))) )),
% 1.67/0.59 inference(argument_congruence,[],[f1979])).
% 1.67/0.59 thf(f1979,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (((times_times @ nat @ X1) = (^[Y0 : nat]: (times_times @ nat @ Y0 @ X1)))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f1977])).
% 1.67/0.59 thf(f1977,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (((times_times @ nat @ X1) = ((^[Y0 : nat]: ((^[Y1 : nat]: (times_times @ nat @ Y1 @ Y0)))) @ X1))) )),
% 1.67/0.59 inference(argument_congruence,[],[f1969])).
% 1.67/0.59 thf(f1969,plain,(
% 1.67/0.59 (times_times @ nat = (^[Y0 : nat]: ((^[Y1 : nat]: (times_times @ nat @ Y1 @ Y0)))))),
% 1.67/0.59 inference(equality_proxy_clausification,[],[f1968])).
% 1.67/0.59 thf(f1968,plain,(
% 1.67/0.59 ((times_times @ nat = (^[Y0 : nat]: ((^[Y1 : nat]: (times_times @ nat @ Y1 @ Y0))))) = $true)),
% 1.67/0.59 inference(boolean_simplification,[],[f1967])).
% 1.67/0.59 thf(f1967,plain,(
% 1.67/0.59 ($true = ($true => (times_times @ nat = (^[Y0 : nat]: ((^[Y1 : nat]: (times_times @ nat @ Y1 @ Y0)))))))),
% 1.67/0.59 inference(superposition,[],[f968,f1162])).
% 1.67/0.59 thf(f1162,plain,(
% 1.67/0.59 (ab_semigroup_mult @ nat = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f362])).
% 1.67/0.59 thf(f362,plain,(
% 1.67/0.59 (ab_semigroup_mult @ nat = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f361])).
% 1.67/0.59 thf(f361,plain,(
% 1.67/0.59 ab_semigroup_mult @ nat),
% 1.67/0.59 inference(rectify,[],[f265])).
% 1.67/0.59 thf(f265,axiom,(
% 1.67/0.59 ab_semigroup_mult @ nat),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',tcon_Nat_Onat___Groups_Oab__semigroup__mult)).
% 1.67/0.59 thf(f968,plain,(
% 1.67/0.59 ( ! [X0 : $tType] : (((ab_semigroup_mult @ X0 => (times_times @ X0 = (^[Y0 : X0]: ((^[Y1 : X0]: (times_times @ X0 @ Y1 @ Y0)))))) = $true)) )),
% 1.67/0.59 inference(cnf_transformation,[],[f847])).
% 1.67/0.59 thf(f847,plain,(
% 1.67/0.59 ! [X0 : $tType] : ((ab_semigroup_mult @ X0 => (times_times @ X0 = (^[Y0 : X0]: ((^[Y1 : X0]: (times_times @ X0 @ Y1 @ Y0)))))) = $true)),
% 1.67/0.59 inference(closure,[],[f401])).
% 1.67/0.59 thf(f401,plain,(
% 1.67/0.59 ( ! [X0 : $tType] : (((ab_semigroup_mult @ X0 => (times_times @ X0 = (^[Y0 : X0]: ((^[Y1 : X0]: (times_times @ X0 @ Y1 @ Y0)))))) = $true)) )),
% 1.67/0.59 inference(fool_elimination,[],[f400])).
% 1.67/0.59 thf(f400,plain,(
% 1.67/0.59 ! [X0 : $tType] : (ab_semigroup_mult @ X0 => (times_times @ X0 = (^[X1 : X0, X2 : X0] : (times_times @ X0 @ X2 @ X1))))),
% 1.67/0.59 inference(rectify,[],[f176])).
% 1.67/0.59 thf(f176,axiom,(
% 1.67/0.59 ! [X0 : $tType] : (ab_semigroup_mult @ X0 => (times_times @ X0 = (^[X16 : X0, X17 : X0] : (times_times @ X0 @ X17 @ X16))))),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_175_mult_Ocommute)).
% 1.67/0.59 thf(f1987,plain,(
% 1.67/0.59 ($true = (ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ (p @ k) @ k))))),
% 1.67/0.59 inference(backward_demodulation,[],[f1146,f1985])).
% 1.67/0.59 thf(f1146,plain,(
% 1.67/0.59 ((ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k))) = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f551])).
% 1.67/0.59 thf(f551,plain,(
% 1.67/0.59 ((ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k))) = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f550])).
% 1.67/0.59 thf(f550,plain,(
% 1.67/0.59 (ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)))),
% 1.67/0.59 inference(rectify,[],[f4])).
% 1.67/0.59 thf(f4,axiom,(
% 1.67/0.59 (ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)))),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_lower__bound)).
% 1.67/0.59 thf(f2773,plain,(
% 1.67/0.59 ($true = ((ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ k @ (p @ k)))) = $false))),
% 1.67/0.59 inference(boolean_simplification,[],[f2751])).
% 1.67/0.59 thf(f2751,plain,(
% 1.67/0.59 (((ord_less @ nat @ n @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ k @ (p @ k)))) = (~ $true)) = $true)),
% 1.67/0.59 inference(superposition,[],[f2704,f1991])).
% 1.67/0.59 thf(f1991,plain,(
% 1.67/0.59 ($true = (ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ k @ (p @ k))) @ n))),
% 1.67/0.59 inference(forward_demodulation,[],[f1988,f1985])).
% 1.67/0.59 thf(f1988,plain,(
% 1.67/0.59 ((ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ i @ (p @ i)) @ (times_times @ nat @ (p @ k) @ k)) @ n) = $true)),
% 1.67/0.59 inference(backward_demodulation,[],[f1129,f1985])).
% 1.67/0.59 thf(f1129,plain,(
% 1.67/0.59 ((ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)) @ n) = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f475])).
% 1.67/0.59 thf(f475,plain,(
% 1.67/0.59 ((ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)) @ n) = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f474])).
% 1.67/0.59 thf(f474,plain,(
% 1.67/0.59 (ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)) @ n)),
% 1.67/0.59 inference(rectify,[],[f3])).
% 1.67/0.59 thf(f3,axiom,(
% 1.67/0.59 (ord_less_eq @ nat @ (plus_plus @ nat @ (times_times @ nat @ (p @ i) @ i) @ (times_times @ nat @ (p @ k) @ k)) @ n)),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_upper__bound)).
% 1.67/0.59 thf(f2704,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ X2) = (~ (ord_less_eq @ nat @ X2 @ X1))) = $true)) )),
% 1.67/0.59 inference(forward_demodulation,[],[f2703,f2621])).
% 1.67/0.59 thf(f2621,plain,(
% 1.67/0.59 ( ! [X0 : nat,X1 : nat] : (((~ (ord_less_eq @ nat @ X0 @ X1)) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ X0 @ X1)))) )),
% 1.67/0.59 inference(superposition,[],[f1539,f2515])).
% 1.67/0.59 thf(f2515,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (((ord_less_eq @ nat @ X2 @ X1) = (zero_zero @ nat = (minus_minus @ nat @ X2 @ X1)))) )),
% 1.67/0.59 inference(equality_proxy_clausification,[],[f2509])).
% 1.67/0.59 thf(f2509,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (($true = ((zero_zero @ nat = (minus_minus @ nat @ X2 @ X1)) = (ord_less_eq @ nat @ X2 @ X1)))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f2508])).
% 1.67/0.59 thf(f2508,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (($true = ((^[Y0 : nat]: ((zero_zero @ nat = (minus_minus @ nat @ Y0 @ X1)) = (ord_less_eq @ nat @ Y0 @ X1))) @ X2))) )),
% 1.67/0.59 inference(pi_clausification,[],[f2475])).
% 1.67/0.59 thf(f2475,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (($true = (!! @ nat @ (^[Y0 : nat]: ((zero_zero @ nat = (minus_minus @ nat @ Y0 @ X1)) = (ord_less_eq @ nat @ Y0 @ X1)))))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f2474])).
% 1.67/0.59 thf(f2474,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (($true = ((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((zero_zero @ nat = (minus_minus @ nat @ Y1 @ Y0)) = (ord_less_eq @ nat @ Y1 @ Y0))))) @ X1))) )),
% 1.67/0.59 inference(pi_clausification,[],[f1063])).
% 1.67/0.59 thf(f1063,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((zero_zero @ nat = (minus_minus @ nat @ Y1 @ Y0)) = (ord_less_eq @ nat @ Y1 @ Y0)))))) = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f740])).
% 1.67/0.59 thf(f740,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((zero_zero @ nat = (minus_minus @ nat @ Y1 @ Y0)) = (ord_less_eq @ nat @ Y1 @ Y0)))))) = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f739])).
% 1.67/0.59 thf(f739,plain,(
% 1.67/0.59 ! [X0 : nat,X1 : nat] : ((zero_zero @ nat = (minus_minus @ nat @ X0 @ X1)) = (ord_less_eq @ nat @ X0 @ X1))),
% 1.67/0.59 inference(rectify,[],[f81])).
% 1.67/0.59 thf(f81,axiom,(
% 1.67/0.59 ! [X5 : nat,X3 : nat] : ((zero_zero @ nat = (minus_minus @ nat @ X5 @ X3)) = (ord_less_eq @ nat @ X5 @ X3))),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_diff__is__0__eq)).
% 1.67/0.59 thf(f1539,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (((~ (zero_zero @ nat = X1)) = (ord_less @ nat @ zero_zero @ nat @ X1))) )),
% 1.67/0.59 inference(equality_proxy_clausification,[],[f1538])).
% 1.67/0.59 thf(f1538,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (($true = ((~ (zero_zero @ nat = X1)) = (ord_less @ nat @ zero_zero @ nat @ X1)))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f1537])).
% 1.67/0.59 thf(f1537,plain,(
% 1.67/0.59 ( ! [X1 : nat] : ((((^[Y0 : nat]: ((~ (zero_zero @ nat = Y0)) = (ord_less @ nat @ zero_zero @ nat @ Y0))) @ X1) = $true)) )),
% 1.67/0.59 inference(pi_clausification,[],[f1138])).
% 1.67/0.59 thf(f1138,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = Y0)) = (ord_less @ nat @ zero_zero @ nat @ Y0)))) = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f803])).
% 1.67/0.59 thf(f803,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = Y0)) = (ord_less @ nat @ zero_zero @ nat @ Y0)))) = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f802])).
% 1.67/0.59 thf(f802,plain,(
% 1.67/0.59 ! [X0 : nat] : ((zero_zero @ nat != X0) = (ord_less @ nat @ zero_zero @ nat @ X0))),
% 1.67/0.59 inference(rectify,[],[f54])).
% 1.67/0.59 thf(f54,axiom,(
% 1.67/0.59 ! [X3 : nat] : ((zero_zero @ nat != X3) = (ord_less @ nat @ zero_zero @ nat @ X3))),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_neq0__conv)).
% 1.67/0.59 thf(f2703,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : ((((ord_less @ nat @ X1 @ X2) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ X2 @ X1))) = $true)) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f2702])).
% 1.67/0.59 thf(f2702,plain,(
% 1.67/0.59 ( ! [X2 : nat,X1 : nat] : (($true = ((^[Y0 : nat]: ((ord_less @ nat @ X1 @ Y0) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ Y0 @ X1)))) @ X2))) )),
% 1.67/0.59 inference(pi_clausification,[],[f2667])).
% 1.67/0.59 thf(f2667,plain,(
% 1.67/0.59 ( ! [X1 : nat] : (($true = (!! @ nat @ (^[Y0 : nat]: ((ord_less @ nat @ X1 @ Y0) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ Y0 @ X1))))))) )),
% 1.67/0.59 inference(beta_eta_normalization,[],[f2666])).
% 1.67/0.59 thf(f2666,plain,(
% 1.67/0.59 ( ! [X1 : nat] : ((((^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y0 @ Y1) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ Y1 @ Y0)))))) @ X1) = $true)) )),
% 1.67/0.59 inference(pi_clausification,[],[f1098])).
% 1.67/0.59 thf(f1098,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y0 @ Y1) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ Y1 @ Y0))))))) = $true)),
% 1.67/0.59 inference(cnf_transformation,[],[f702])).
% 1.67/0.59 thf(f702,plain,(
% 1.67/0.59 ((!! @ nat @ (^[Y0 : nat]: (!! @ nat @ (^[Y1 : nat]: ((ord_less @ nat @ Y0 @ Y1) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ Y1 @ Y0))))))) = $true)),
% 1.67/0.59 inference(fool_elimination,[],[f701])).
% 1.67/0.59 thf(f701,plain,(
% 1.67/0.59 ! [X0 : nat,X1 : nat] : ((ord_less @ nat @ X1 @ X0) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ X0 @ X1)))),
% 1.67/0.59 inference(rectify,[],[f79])).
% 1.67/0.59 thf(f79,axiom,(
% 1.67/0.59 ! [X3 : nat,X5 : nat] : ((ord_less @ nat @ X5 @ X3) = (ord_less @ nat @ zero_zero @ nat @ (minus_minus @ nat @ X3 @ X5)))),
% 1.67/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_zero__less__diff)).
% 1.67/0.59 % SZS output end Proof for theBenchmark
% 1.67/0.59 % (14569)------------------------------
% 1.67/0.59 % (14569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.67/0.59 % (14569)Termination reason: Refutation
% 1.67/0.59
% 1.67/0.59 % (14569)Memory used [KB]: 7675
% 1.67/0.59 % (14569)Time elapsed: 0.181 s
% 1.67/0.59 % (14569)Instructions burned: 429 (million)
% 1.67/0.59 % (14569)------------------------------
% 1.67/0.59 % (14569)------------------------------
% 1.67/0.59 % (14556)Success in time 0.216 s
% 1.67/0.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------