TSTP Solution File: NUM639^4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM639^4 : 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 : n009.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 01:44:00 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM639^4 : TPTP v8.2.0. Released v7.1.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 05:14:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.13/0.37 % (11728)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)
% 0.13/0.37 % (11728)Instruction limit reached!
% 0.13/0.37 % (11728)------------------------------
% 0.13/0.37 % (11728)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (11728)Termination reason: Unknown
% 0.13/0.37 % (11728)Termination phase: shuffling
% 0.13/0.37
% 0.13/0.37 % (11728)Memory used [KB]: 1279
% 0.13/0.37 % (11728)Time elapsed: 0.003 s
% 0.13/0.37 % (11728)Instructions burned: 4 (million)
% 0.13/0.37 % (11728)------------------------------
% 0.13/0.37 % (11728)------------------------------
% 0.13/0.38 % (11729)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)
% 0.13/0.38 % (11730)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.38 % (11731)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)
% 0.13/0.38 % (11733)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.38 % (11732)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)
% 0.13/0.38 % (11727)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.38 % (11734)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)
% 0.13/0.38 % (11730)Instruction limit reached!
% 0.13/0.38 % (11730)------------------------------
% 0.13/0.38 % (11730)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (11731)Instruction limit reached!
% 0.13/0.38 % (11731)------------------------------
% 0.13/0.38 % (11731)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (11730)Termination reason: Unknown
% 0.13/0.38 % (11730)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (11730)Memory used [KB]: 1279
% 0.13/0.38 % (11730)Time elapsed: 0.004 s
% 0.13/0.38 % (11730)Instructions burned: 3 (million)
% 0.13/0.38 % (11730)------------------------------
% 0.13/0.38 % (11730)------------------------------
% 0.13/0.38 % (11731)Termination reason: Unknown
% 0.13/0.38 % (11731)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (11731)Memory used [KB]: 1279
% 0.13/0.38 % (11731)Time elapsed: 0.004 s
% 0.13/0.38 % (11731)Instructions burned: 3 (million)
% 0.13/0.38 % (11731)------------------------------
% 0.13/0.38 % (11731)------------------------------
% 0.13/0.38 % (11734)Instruction limit reached!
% 0.13/0.38 % (11734)------------------------------
% 0.13/0.38 % (11734)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (11734)Termination reason: Unknown
% 0.13/0.38 % (11734)Termination phase: shuffling
% 0.13/0.38
% 0.13/0.38 % (11734)Memory used [KB]: 1279
% 0.13/0.38 % (11734)Time elapsed: 0.004 s
% 0.13/0.38 % (11734)Instructions burned: 3 (million)
% 0.13/0.38 % (11734)------------------------------
% 0.13/0.38 % (11734)------------------------------
% 0.13/0.38 % (11735)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)
% 0.13/0.39 % (11733)Instruction limit reached!
% 0.13/0.39 % (11733)------------------------------
% 0.13/0.39 % (11733)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (11733)Termination reason: Unknown
% 0.13/0.39 % (11733)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (11733)Memory used [KB]: 1535
% 0.13/0.39 % (11733)Time elapsed: 0.012 s
% 0.13/0.39 % (11733)Instructions burned: 18 (million)
% 0.13/0.39 % (11733)------------------------------
% 0.13/0.39 % (11733)------------------------------
% 0.13/0.39 % (11729)Instruction limit reached!
% 0.13/0.39 % (11729)------------------------------
% 0.13/0.39 % (11729)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (11729)Termination reason: Unknown
% 0.13/0.39 % (11729)Termination phase: Preprocessing 3
% 0.13/0.39
% 0.13/0.39 % (11729)Memory used [KB]: 1535
% 0.13/0.39 % (11729)Time elapsed: 0.017 s
% 0.13/0.39 % (11729)Instructions burned: 28 (million)
% 0.13/0.39 % (11729)------------------------------
% 0.13/0.39 % (11729)------------------------------
% 0.13/0.39 % (11735)Instruction limit reached!
% 0.13/0.39 % (11735)------------------------------
% 0.13/0.39 % (11735)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (11735)Termination reason: Unknown
% 0.13/0.39 % (11735)Termination phase: Property scanning
% 0.13/0.39
% 0.13/0.39 % (11735)Memory used [KB]: 1535
% 0.13/0.39 % (11735)Time elapsed: 0.012 s
% 0.13/0.39 % (11735)Instructions burned: 38 (million)
% 0.13/0.39 % (11735)------------------------------
% 0.13/0.39 % (11735)------------------------------
% 0.13/0.39 % (11736)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)
% 0.13/0.39 % (11737)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)
% 0.13/0.39 % (11738)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)
% 0.13/0.40 % (11732)Refutation not found, incomplete strategy
% 0.13/0.40 % (11732)------------------------------
% 0.13/0.40 % (11732)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (11732)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.40
% 0.13/0.40
% 0.13/0.40 % (11732)Memory used [KB]: 6012
% 0.13/0.40 % (11732)Time elapsed: 0.020 s
% 0.13/0.40 % (11732)Instructions burned: 32 (million)
% 0.13/0.40 % (11732)------------------------------
% 0.13/0.40 % (11732)------------------------------
% 0.13/0.40 % (11737)Instruction limit reached!
% 0.13/0.40 % (11737)------------------------------
% 0.13/0.40 % (11737)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (11737)Termination reason: Unknown
% 0.13/0.40 % (11737)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (11737)Memory used [KB]: 1279
% 0.13/0.40 % (11737)Time elapsed: 0.004 s
% 0.13/0.40 % (11737)Instructions burned: 3 (million)
% 0.13/0.40 % (11737)------------------------------
% 0.13/0.40 % (11737)------------------------------
% 0.13/0.40 % (11741)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)
% 0.13/0.40 % (11736)Instruction limit reached!
% 0.13/0.40 % (11736)------------------------------
% 0.13/0.40 % (11736)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (11736)Termination reason: Unknown
% 0.13/0.40 % (11736)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (11736)Memory used [KB]: 1407
% 0.13/0.40 % (11736)Time elapsed: 0.010 s
% 0.13/0.40 % (11736)Instructions burned: 15 (million)
% 0.13/0.40 % (11736)------------------------------
% 0.13/0.40 % (11736)------------------------------
% 0.13/0.40 % (11739)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.40 % (11741)Instruction limit reached!
% 0.13/0.40 % (11741)------------------------------
% 0.13/0.40 % (11741)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (11741)Termination reason: Unknown
% 0.13/0.40 % (11741)Termination phase: shuffling
% 0.13/0.40
% 0.13/0.40 % (11741)Memory used [KB]: 1279
% 0.13/0.40 % (11741)Time elapsed: 0.003 s
% 0.13/0.40 % (11741)Instructions burned: 5 (million)
% 0.13/0.40 % (11741)------------------------------
% 0.13/0.40 % (11741)------------------------------
% 0.13/0.41 % (11739)Instruction limit reached!
% 0.13/0.41 % (11739)------------------------------
% 0.13/0.41 % (11739)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (11739)Termination reason: Unknown
% 0.13/0.41 % (11739)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (11739)Memory used [KB]: 1279
% 0.13/0.41 % (11739)Time elapsed: 0.006 s
% 0.13/0.41 % (11739)Instructions burned: 7 (million)
% 0.13/0.41 % (11739)------------------------------
% 0.13/0.41 % (11739)------------------------------
% 0.13/0.41 % (11740)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.41 % (11742)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)
% 0.13/0.41 % (11743)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)
% 0.13/0.41 % (11745)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.41 % (11742)Instruction limit reached!
% 0.13/0.41 % (11742)------------------------------
% 0.13/0.41 % (11742)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (11742)Termination reason: Unknown
% 0.13/0.41 % (11742)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (11742)Memory used [KB]: 1279
% 0.13/0.41 % (11742)Time elapsed: 0.004 s
% 0.13/0.41 % (11742)Instructions burned: 4 (million)
% 0.13/0.41 % (11742)------------------------------
% 0.13/0.41 % (11742)------------------------------
% 0.13/0.41 % (11745)Instruction limit reached!
% 0.13/0.41 % (11745)------------------------------
% 0.13/0.41 % (11745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41 % (11745)Termination reason: Unknown
% 0.13/0.41 % (11745)Termination phase: shuffling
% 0.13/0.41
% 0.13/0.41 % (11745)Memory used [KB]: 1279
% 0.13/0.41 % (11745)Time elapsed: 0.003 s
% 0.13/0.41 % (11745)Instructions burned: 6 (million)
% 0.13/0.41 % (11745)------------------------------
% 0.13/0.41 % (11745)------------------------------
% 0.13/0.42 % (11743)Instruction limit reached!
% 0.13/0.42 % (11743)------------------------------
% 0.13/0.42 % (11743)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11743)Termination reason: Unknown
% 0.13/0.42 % (11743)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (11743)Memory used [KB]: 1279
% 0.13/0.42 % (11743)Time elapsed: 0.006 s
% 0.13/0.42 % (11743)Instructions burned: 7 (million)
% 0.13/0.42 % (11743)------------------------------
% 0.13/0.42 % (11743)------------------------------
% 0.13/0.42 % (11740)Instruction limit reached!
% 0.13/0.42 % (11740)------------------------------
% 0.13/0.42 % (11740)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11740)Termination reason: Unknown
% 0.13/0.42 % (11740)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (11740)Memory used [KB]: 1535
% 0.13/0.42 % (11740)Time elapsed: 0.011 s
% 0.13/0.42 % (11740)Instructions burned: 17 (million)
% 0.13/0.42 % (11740)------------------------------
% 0.13/0.42 % (11740)------------------------------
% 0.13/0.42 % (11744)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)
% 0.13/0.42 % (11744)Instruction limit reached!
% 0.13/0.42 % (11744)------------------------------
% 0.13/0.42 % (11744)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42 % (11744)Termination reason: Unknown
% 0.13/0.42 % (11744)Termination phase: shuffling
% 0.13/0.42
% 0.13/0.42 % (11744)Memory used [KB]: 1279
% 0.13/0.42 % (11744)Time elapsed: 0.003 s
% 0.13/0.42 % (11744)Instructions burned: 3 (million)
% 0.13/0.42 % (11744)------------------------------
% 0.13/0.42 % (11744)------------------------------
% 0.20/0.42 % (11746)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)
% 0.20/0.42 % (11748)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (11748)Instruction limit reached!
% 0.20/0.42 % (11748)------------------------------
% 0.20/0.42 % (11748)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (11748)Termination reason: Unknown
% 0.20/0.42 % (11748)Termination phase: shuffling
% 0.20/0.42
% 0.20/0.42 % (11748)Memory used [KB]: 1279
% 0.20/0.42 % (11748)Time elapsed: 0.003 s
% 0.20/0.42 % (11748)Instructions burned: 6 (million)
% 0.20/0.42 % (11748)------------------------------
% 0.20/0.42 % (11748)------------------------------
% 0.20/0.43 % (11747)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.43 % (11749)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)
% 0.20/0.43 % (11750)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)
% 0.20/0.43 % (11746)Instruction limit reached!
% 0.20/0.43 % (11746)------------------------------
% 0.20/0.43 % (11746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (11746)Termination reason: Unknown
% 0.20/0.43 % (11746)Termination phase: Property scanning
% 0.20/0.43
% 0.20/0.43 % (11746)Memory used [KB]: 1535
% 0.20/0.43 % (11746)Time elapsed: 0.012 s
% 0.20/0.43 % (11746)Instructions burned: 18 (million)
% 0.20/0.43 % (11746)------------------------------
% 0.20/0.43 % (11746)------------------------------
% 0.20/0.43 % (11752)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)
% 0.20/0.43 % (11751)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.44 % (11752)Instruction limit reached!
% 0.20/0.44 % (11752)------------------------------
% 0.20/0.44 % (11752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (11752)Termination reason: Unknown
% 0.20/0.44 % (11752)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (11752)Memory used [KB]: 1279
% 0.20/0.44 % (11752)Time elapsed: 0.004 s
% 0.20/0.44 % (11752)Instructions burned: 9 (million)
% 0.20/0.44 % (11752)------------------------------
% 0.20/0.44 % (11752)------------------------------
% 0.20/0.44 % (11751)Instruction limit reached!
% 0.20/0.44 % (11751)------------------------------
% 0.20/0.44 % (11751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (11751)Termination reason: Unknown
% 0.20/0.44 % (11751)Termination phase: shuffling
% 0.20/0.44
% 0.20/0.44 % (11751)Memory used [KB]: 1279
% 0.20/0.44 % (11751)Time elapsed: 0.005 s
% 0.20/0.44 % (11751)Instructions burned: 6 (million)
% 0.20/0.44 % (11751)------------------------------
% 0.20/0.44 % (11751)------------------------------
% 0.20/0.44 % (11750)Instruction limit reached!
% 0.20/0.44 % (11750)------------------------------
% 0.20/0.44 % (11750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (11750)Termination reason: Unknown
% 0.20/0.44 % (11750)Termination phase: Property scanning
% 0.20/0.44
% 0.20/0.44 % (11750)Memory used [KB]: 1535
% 0.20/0.44 % (11750)Time elapsed: 0.014 s
% 0.20/0.44 % (11750)Instructions burned: 22 (million)
% 0.20/0.44 % (11750)------------------------------
% 0.20/0.44 % (11750)------------------------------
% 0.20/0.44 % (11754)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)
% 0.20/0.45 % (11753)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.45 % (11727)Instruction limit reached!
% 0.20/0.45 % (11727)------------------------------
% 0.20/0.45 % (11727)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (11727)Termination reason: Unknown
% 0.20/0.45 % (11727)Termination phase: Property scanning
% 0.20/0.45
% 0.20/0.45 % (11727)Memory used [KB]: 1663
% 0.20/0.45 % (11727)Time elapsed: 0.070 s
% 0.20/0.45 % (11727)Instructions burned: 183 (million)
% 0.20/0.45 % (11727)------------------------------
% 0.20/0.45 % (11727)------------------------------
% 0.20/0.45 % (11755)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)
% 0.20/0.46 % (11756)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)
% 0.20/0.46 % (11755)Instruction limit reached!
% 0.20/0.46 % (11755)------------------------------
% 0.20/0.46 % (11755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (11755)Termination reason: Unknown
% 0.20/0.46 % (11755)Termination phase: shuffling
% 0.20/0.46
% 0.20/0.46 % (11755)Memory used [KB]: 1535
% 0.20/0.46 % (11755)Time elapsed: 0.012 s
% 0.20/0.46 % (11755)Instructions burned: 20 (million)
% 0.20/0.46 % (11755)------------------------------
% 0.20/0.46 % (11755)------------------------------
% 0.20/0.46 % (11757)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (11749)Refutation not found, incomplete strategy
% 0.20/0.46 % (11749)------------------------------
% 0.20/0.46 % (11749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (11749)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (11749)Memory used [KB]: 6268
% 0.20/0.46 % (11749)Time elapsed: 0.033 s
% 0.20/0.46 % (11749)Instructions burned: 59 (million)
% 0.20/0.46 % (11749)------------------------------
% 0.20/0.46 % (11749)------------------------------
% 0.20/0.47 % (11757)Instruction limit reached!
% 0.20/0.47 % (11757)------------------------------
% 0.20/0.47 % (11757)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47 % (11757)Termination reason: Unknown
% 0.20/0.47 % (11757)Termination phase: shuffling
% 0.20/0.47
% 0.20/0.47 % (11757)Memory used [KB]: 1535
% 0.20/0.47 % (11757)Time elapsed: 0.011 s
% 0.20/0.47 % (11757)Instructions burned: 17 (million)
% 0.20/0.47 % (11757)------------------------------
% 0.20/0.47 % (11757)------------------------------
% 0.20/0.47 % (11759)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.20/0.47 % (11758)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.20/0.48 % (11758)Instruction limit reached!
% 0.20/0.48 % (11758)------------------------------
% 0.20/0.48 % (11758)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (11758)Termination reason: Unknown
% 0.20/0.48 % (11758)Termination phase: shuffling
% 0.20/0.48
% 0.20/0.48 % (11758)Memory used [KB]: 1279
% 0.20/0.48 % (11758)Time elapsed: 0.003 s
% 0.20/0.48 % (11758)Instructions burned: 3 (million)
% 0.20/0.48 % (11758)------------------------------
% 0.20/0.48 % (11758)------------------------------
% 0.20/0.48 % (11754)First to succeed.
% 0.20/0.48 % (11760)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)
% 0.20/0.48 % (11754)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% 0.20/0.48 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_3, type, eps: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_4, type, in: $i > $i > $o).
% 0.20/0.48 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 0.20/0.48 thf(func_def_7, type, union: $i > $i).
% 0.20/0.48 thf(func_def_8, type, power: $i > $i).
% 0.20/0.48 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_10, type, d_Union_closed: $i > $o).
% 0.20/0.48 thf(func_def_11, type, d_Power_closed: $i > $o).
% 0.20/0.48 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 0.20/0.48 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 0.20/0.48 thf(func_def_14, type, univof: $i > $i).
% 0.20/0.48 thf(func_def_15, type, if: $o > $i > $i > $i).
% 0.20/0.48 thf(func_def_16, type, nIn: $i > $i > $o).
% 0.20/0.48 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 0.20/0.48 thf(func_def_18, type, d_Sing: $i > $i).
% 0.20/0.48 thf(func_def_19, type, binunion: $i > $i > $i).
% 0.20/0.48 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 0.20/0.48 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_23, type, setminus: $i > $i > $i).
% 0.20/0.48 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 0.20/0.48 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 0.20/0.48 thf(func_def_26, type, ordsucc: $i > $i).
% 0.20/0.48 thf(func_def_27, type, nat_p: $i > $o).
% 0.20/0.48 thf(func_def_29, type, d_Inj1: $i > $i).
% 0.20/0.48 thf(func_def_30, type, d_Inj0: $i > $i).
% 0.20/0.48 thf(func_def_31, type, d_Unj: $i > $i).
% 0.20/0.48 thf(func_def_32, type, pair: $i > $i > $i).
% 0.20/0.48 thf(func_def_33, type, proj0: $i > $i).
% 0.20/0.48 thf(func_def_34, type, proj1: $i > $i).
% 0.20/0.48 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_36, type, setprod: $i > $i > $i).
% 0.20/0.48 thf(func_def_37, type, ap: $i > $i > $i).
% 0.20/0.48 thf(func_def_38, type, pair_p: $i > $o).
% 0.20/0.48 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_40, type, imp: $o > $o > $o).
% 0.20/0.48 thf(func_def_41, type, d_not: $o > $o).
% 0.20/0.48 thf(func_def_42, type, wel: $o > $o).
% 0.20/0.48 thf(func_def_44, type, l_ec: $o > $o > $o).
% 0.20/0.48 thf(func_def_45, type, d_and: $o > $o > $o).
% 0.20/0.48 thf(func_def_46, type, l_or: $o > $o > $o).
% 0.20/0.48 thf(func_def_47, type, orec: $o > $o > $o).
% 0.20/0.48 thf(func_def_48, type, l_iff: $o > $o > $o).
% 0.20/0.48 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 0.20/0.48 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 0.20/0.48 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 0.20/0.48 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 0.20/0.48 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 0.20/0.48 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 0.20/0.48 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 0.20/0.48 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_72, type, first: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_73, type, second: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_80, type, r_ec: $o > $o > $o).
% 0.20/0.48 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_82, type, empty: $i > $i > $o).
% 0.20/0.48 thf(func_def_83, type, nonempty: $i > $i > $o).
% 0.20/0.48 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.48 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 0.20/0.48 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 0.20/0.48 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 0.20/0.48 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.48 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 0.20/0.48 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 0.20/0.48 thf(func_def_103, type, n_is: $i > $i > $o).
% 0.20/0.48 thf(func_def_104, type, nis: $i > $i > $o).
% 0.20/0.48 thf(func_def_105, type, n_in: $i > $i > $o).
% 0.20/0.48 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 0.20/0.48 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 0.20/0.48 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 0.20/0.48 thf(func_def_110, type, cond1: $i > $o).
% 0.20/0.48 thf(func_def_111, type, cond2: $i > $o).
% 0.20/0.48 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_113, type, d_22_prop1: $i > $o).
% 0.20/0.48 thf(func_def_114, type, d_23_prop1: $i > $o).
% 0.20/0.48 thf(func_def_115, type, d_24_prop1: $i > $o).
% 0.20/0.48 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 0.20/0.48 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 0.20/0.48 thf(func_def_118, type, prop4: $i > $o).
% 0.20/0.48 thf(func_def_119, type, d_24_g: $i > $i).
% 0.20/0.48 thf(func_def_120, type, plus: $i > $i).
% 0.20/0.48 thf(func_def_121, type, n_pl: $i > $i > $i).
% 0.20/0.48 thf(func_def_142, type, sK1: ($i > $o) > $i).
% 0.20/0.48 thf(func_def_143, type, sK2: ($i > $i) > $i > ($i > $i) > $i).
% 0.20/0.48 thf(func_def_145, type, ph4: !>[X0: $tType]:(X0)).
% 0.20/0.48 thf(f795,plain,(
% 0.20/0.48 $false),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f792])).
% 0.20/0.48 thf(f792,plain,(
% 0.20/0.48 ($false = $true)),
% 0.20/0.48 inference(backward_demodulation,[],[f693,f791])).
% 0.20/0.48 thf(f791,plain,(
% 0.20/0.48 ((in @ sK3 @ nat) = $false)),
% 0.20/0.48 inference(trivial_inequality_removal,[],[f790])).
% 0.20/0.48 thf(f790,plain,(
% 0.20/0.48 ((in @ sK3 @ nat) = $false) | ((ordsucc @ sK3) != (ordsucc @ sK3))),
% 0.20/0.48 inference(superposition,[],[f694,f598])).
% 0.20/0.48 thf(f598,plain,(
% 0.20/0.48 ( ! [X1 : $i] : (((ordsucc @ X1) = (n_pl @ X1 @ (ordsucc @ emptyset))) | ((in @ X1 @ nat) = $false)) )),
% 0.20/0.48 inference(equality_proxy_clausification,[],[f597])).
% 0.20/0.48 thf(f597,plain,(
% 0.20/0.48 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((n_pl @ X1 @ (ordsucc @ emptyset)) = (ordsucc @ X1)))) )),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f596])).
% 0.20/0.48 thf(f596,plain,(
% 0.20/0.48 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => ((n_pl @ X1 @ (ordsucc @ emptyset)) = (ordsucc @ X1))))) )),
% 0.20/0.48 inference(beta_eta_normalization,[],[f595])).
% 0.20/0.48 thf(f595,plain,(
% 0.20/0.48 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ Y0 @ (ordsucc @ emptyset)) = (ordsucc @ Y0)))) @ X1) = $true)) )),
% 0.20/0.48 inference(pi_clausification,[],[f537])).
% 0.20/0.48 thf(f537,plain,(
% 0.20/0.48 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ Y0 @ (ordsucc @ emptyset)) = (ordsucc @ Y0))))) = $true)),
% 0.20/0.48 inference(beta_eta_normalization,[],[f516])).
% 0.20/0.48 thf(f516,plain,(
% 0.20/0.48 ($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]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (n_pl @ Y0 @ (ordsucc @ emptyset)) @ (ordsucc @ Y0)))))),
% 0.20/0.48 inference(definition_unfolding,[],[f485,f510,f511,f492])).
% 0.20/0.48 thf(f492,plain,(
% 0.20/0.48 ((ordsucc @ emptyset) = n_1)),
% 0.20/0.48 inference(cnf_transformation,[],[f225])).
% 0.20/0.48 thf(f225,plain,(
% 0.20/0.48 ((ordsucc @ emptyset) = n_1)),
% 0.20/0.48 inference(fool_elimination,[],[f163])).
% 0.20/0.48 thf(f163,axiom,(
% 0.20/0.48 ((ordsucc @ emptyset) = n_1)),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_1)).
% 0.20/0.48 thf(f511,plain,(
% 0.20/0.48 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 0.20/0.48 inference(definition_unfolding,[],[f483,f497])).
% 0.20/0.48 thf(f497,plain,(
% 0.20/0.48 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.20/0.48 inference(cnf_transformation,[],[f303])).
% 0.20/0.48 thf(f303,plain,(
% 0.20/0.48 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 0.20/0.48 inference(fool_elimination,[],[f302])).
% 0.20/0.48 thf(f302,plain,(
% 0.20/0.48 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))),
% 0.20/0.48 inference(rectify,[],[f91])).
% 0.20/0.48 thf(f91,axiom,(
% 0.20/0.48 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 0.20/0.48 thf(f483,plain,(
% 0.20/0.48 (n_is = (e_is @ nat))),
% 0.20/0.48 inference(cnf_transformation,[],[f281])).
% 0.20/0.48 thf(f281,plain,(
% 0.20/0.48 (n_is = (e_is @ nat))),
% 0.20/0.48 inference(fool_elimination,[],[f157])).
% 0.20/0.48 thf(f157,axiom,(
% 0.20/0.48 (n_is = (e_is @ nat))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 0.20/0.48 thf(f510,plain,(
% 0.20/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.48 inference(definition_unfolding,[],[f494,f499])).
% 0.20/0.48 thf(f499,plain,(
% 0.20/0.48 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.20/0.48 inference(cnf_transformation,[],[f213])).
% 0.20/0.48 thf(f213,plain,(
% 0.20/0.48 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 0.20/0.48 inference(fool_elimination,[],[f1])).
% 0.20/0.48 thf(f1,axiom,(
% 0.20/0.48 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 0.20/0.48 thf(f494,plain,(
% 0.20/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.48 inference(cnf_transformation,[],[f223])).
% 0.20/0.48 thf(f223,plain,(
% 0.20/0.48 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 0.20/0.48 inference(fool_elimination,[],[f222])).
% 0.20/0.48 thf(f222,plain,(
% 0.20/0.48 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.20/0.48 inference(rectify,[],[f2])).
% 0.20/0.48 thf(f2,axiom,(
% 0.20/0.48 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 0.20/0.48 thf(f485,plain,(
% 0.20/0.48 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ Y0 @ n_1) @ (ordsucc @ Y0)))))),
% 0.20/0.48 inference(cnf_transformation,[],[f334])).
% 0.20/0.48 thf(f334,plain,(
% 0.20/0.48 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (n_pl @ Y0 @ n_1) @ (ordsucc @ Y0)))))),
% 0.20/0.48 inference(fool_elimination,[],[f333])).
% 0.20/0.48 thf(f333,plain,(
% 0.20/0.48 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ X1 @ n_1) @ (ordsucc @ X1))))),
% 0.20/0.48 inference(rectify,[],[f186])).
% 0.20/0.48 thf(f186,axiom,(
% 0.20/0.48 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (n_pl @ X0 @ n_1) @ (ordsucc @ X0))))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4a)).
% 0.20/0.48 thf(f694,plain,(
% 0.20/0.48 ((ordsucc @ sK3) != (n_pl @ sK3 @ (ordsucc @ emptyset)))),
% 0.20/0.48 inference(equality_proxy_clausification,[],[f692])).
% 0.20/0.48 thf(f692,plain,(
% 0.20/0.48 (((ordsucc @ sK3) = (n_pl @ sK3 @ (ordsucc @ emptyset))) = $false)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f691])).
% 0.20/0.48 thf(f691,plain,(
% 0.20/0.48 ($false = ((in @ sK3 @ nat) => ((ordsucc @ sK3) = (n_pl @ sK3 @ (ordsucc @ emptyset)))))),
% 0.20/0.48 inference(beta_eta_normalization,[],[f690])).
% 0.20/0.48 thf(f690,plain,(
% 0.20/0.48 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ Y0 @ (ordsucc @ emptyset))))) @ sK3))),
% 0.20/0.48 inference(sigma_clausification,[],[f689])).
% 0.20/0.48 thf(f689,plain,(
% 0.20/0.48 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ Y0 @ (ordsucc @ emptyset)))))) = $false)),
% 0.20/0.48 inference(not_proxy_clausification,[],[f528])).
% 0.20/0.48 thf(f528,plain,(
% 0.20/0.48 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((ordsucc @ Y0) = (n_pl @ Y0 @ (ordsucc @ emptyset))))))) = $true)),
% 0.20/0.48 inference(beta_eta_normalization,[],[f521])).
% 0.20/0.48 thf(f521,plain,(
% 0.20/0.48 ((~ ((^[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]: ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2 = Y3)))))) @ nat @ (ordsucc @ Y0) @ (n_pl @ Y0 @ (ordsucc @ emptyset)))))) = $true)),
% 0.20/0.48 inference(definition_unfolding,[],[f498,f510,f511,f492])).
% 0.20/0.48 thf(f498,plain,(
% 0.20/0.48 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ Y0 @ n_1))))) = $true)),
% 0.20/0.48 inference(cnf_transformation,[],[f433])).
% 0.20/0.48 thf(f433,plain,(
% 0.20/0.48 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (n_is @ (ordsucc @ Y0) @ (n_pl @ Y0 @ n_1))))) = $true)),
% 0.20/0.48 inference(fool_elimination,[],[f432])).
% 0.20/0.48 thf(f432,plain,(
% 0.20/0.48 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1))))),
% 0.20/0.48 inference(rectify,[],[f191])).
% 0.20/0.48 thf(f191,negated_conjecture,(
% 0.20/0.48 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ X0 @ n_1))))),
% 0.20/0.48 inference(negated_conjecture,[],[f190])).
% 0.20/0.48 thf(f190,conjecture,(
% 0.20/0.48 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (n_is @ (ordsucc @ X0) @ (n_pl @ X0 @ n_1))))),
% 0.20/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4e)).
% 0.20/0.48 thf(f693,plain,(
% 0.20/0.48 ((in @ sK3 @ nat) = $true)),
% 0.20/0.48 inference(binary_proxy_clausification,[],[f691])).
% 0.20/0.48 % SZS output end Proof for theBenchmark
% 0.20/0.48 % (11754)------------------------------
% 0.20/0.48 % (11754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (11754)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (11754)Memory used [KB]: 6396
% 0.20/0.48 % (11754)Time elapsed: 0.039 s
% 0.20/0.48 % (11754)Instructions burned: 78 (million)
% 0.20/0.48 % (11754)------------------------------
% 0.20/0.48 % (11754)------------------------------
% 0.20/0.48 % (11726)Success in time 0.13 s
% 0.20/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------