TSTP Solution File: SEV245^5 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% 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 : n008.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 04:12:31 EDT 2024
% Result : Theorem 2.29s 0.70s
% Output : Refutation 2.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13 % 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
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 18:52:52 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH0_THM_NEQ_NAR problem
% 0.12/0.34 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
% 0.12/0.35 % (31025)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.12/0.35 % (31020)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 (3000ds/4Mi)
% 0.12/0.35 % (31023)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 (3000ds/2Mi)
% 0.12/0.35 % (31022)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.12/0.35 % (31021)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 (3000ds/27Mi)
% 0.12/0.35 % (31024)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 (3000ds/275Mi)
% 0.12/0.35 % (31026)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.12/0.35 % (31022)Instruction limit reached!
% 0.12/0.35 % (31022)------------------------------
% 0.12/0.35 % (31022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (31022)Termination reason: Unknown
% 0.12/0.35 % (31022)Termination phase: Saturation
% 0.12/0.35 % (31023)Instruction limit reached!
% 0.12/0.35 % (31023)------------------------------
% 0.12/0.35 % (31023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (31023)Termination reason: Unknown
% 0.12/0.35 % (31023)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (31023)Memory used [KB]: 895
% 0.12/0.35 % (31023)Time elapsed: 0.003 s
% 0.12/0.35 % (31023)Instructions burned: 2 (million)
% 0.12/0.35 % (31023)------------------------------
% 0.12/0.35 % (31023)------------------------------
% 0.12/0.35
% 0.12/0.35 % (31022)Memory used [KB]: 1023
% 0.12/0.35 % (31022)Time elapsed: 0.003 s
% 0.12/0.35 % (31022)Instructions burned: 2 (million)
% 0.12/0.35 % (31022)------------------------------
% 0.12/0.35 % (31022)------------------------------
% 0.12/0.36 % (31019)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.12/0.36 % (31026)Instruction limit reached!
% 0.12/0.36 % (31026)------------------------------
% 0.12/0.36 % (31026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (31026)Termination reason: Unknown
% 0.12/0.36 % (31026)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (31026)Memory used [KB]: 5500
% 0.12/0.36 % (31026)Time elapsed: 0.004 s
% 0.12/0.36 % (31026)Instructions burned: 4 (million)
% 0.12/0.36 % (31026)------------------------------
% 0.12/0.36 % (31026)------------------------------
% 0.12/0.36 % (31020)Instruction limit reached!
% 0.12/0.36 % (31020)------------------------------
% 0.12/0.36 % (31020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (31020)Termination reason: Unknown
% 0.12/0.36 % (31020)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (31020)Memory used [KB]: 5500
% 0.12/0.36 % (31020)Time elapsed: 0.005 s
% 0.12/0.36 % (31020)Instructions burned: 5 (million)
% 0.12/0.36 % (31020)------------------------------
% 0.12/0.36 % (31020)------------------------------
% 0.12/0.36 % (31025)Instruction limit reached!
% 0.12/0.36 % (31025)------------------------------
% 0.12/0.36 % (31025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.36 % (31025)Termination reason: Unknown
% 0.12/0.36 % (31025)Termination phase: Saturation
% 0.12/0.36
% 0.12/0.36 % (31025)Memory used [KB]: 5628
% 0.12/0.36 % (31025)Time elapsed: 0.012 s
% 0.12/0.36 % (31025)Instructions burned: 19 (million)
% 0.12/0.36 % (31025)------------------------------
% 0.12/0.36 % (31025)------------------------------
% 0.12/0.37 % (31027)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)
% 0.12/0.37 % (31021)Instruction limit reached!
% 0.12/0.37 % (31021)------------------------------
% 0.12/0.37 % (31021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (31021)Termination reason: Unknown
% 0.12/0.37 % (31021)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (31021)Memory used [KB]: 5628
% 0.12/0.37 % (31021)Time elapsed: 0.017 s
% 0.12/0.37 % (31021)Instructions burned: 28 (million)
% 0.12/0.37 % (31021)------------------------------
% 0.12/0.37 % (31021)------------------------------
% 0.12/0.37 % (31029)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)
% 0.12/0.37 % (31030)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)
% 0.12/0.37 % (31029)Instruction limit reached!
% 0.12/0.37 % (31029)------------------------------
% 0.12/0.37 % (31029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.37 % (31029)Termination reason: Unknown
% 0.12/0.37 % (31029)Termination phase: Saturation
% 0.12/0.37
% 0.12/0.37 % (31029)Memory used [KB]: 5500
% 0.12/0.37 % (31029)Time elapsed: 0.003 s
% 0.12/0.37 % (31029)Instructions burned: 3 (million)
% 0.12/0.37 % (31029)------------------------------
% 0.12/0.37 % (31029)------------------------------
% 0.12/0.37 % (31028)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)
% 0.12/0.38 % (31028)Instruction limit reached!
% 0.12/0.38 % (31028)------------------------------
% 0.12/0.38 % (31028)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.38 % (31028)Termination reason: Unknown
% 0.12/0.38 % (31028)Termination phase: Saturation
% 0.12/0.38
% 0.12/0.38 % (31028)Memory used [KB]: 5628
% 0.12/0.38 % (31028)Time elapsed: 0.010 s
% 0.12/0.38 % (31028)Instructions burned: 16 (million)
% 0.12/0.38 % (31028)------------------------------
% 0.12/0.38 % (31028)------------------------------
% 0.12/0.38 % (31032)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.12/0.38 % (31031)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.12/0.38 % (31027)Instruction limit reached!
% 0.12/0.38 % (31027)------------------------------
% 0.12/0.38 % (31027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (31027)Termination reason: Unknown
% 0.12/0.39 % (31027)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (31027)Memory used [KB]: 6140
% 0.12/0.39 % (31027)Time elapsed: 0.019 s
% 0.12/0.39 % (31027)Instructions burned: 38 (million)
% 0.12/0.39 % (31027)------------------------------
% 0.12/0.39 % (31027)------------------------------
% 0.12/0.39 % (31033)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)
% 0.12/0.39 % (31031)Instruction limit reached!
% 0.12/0.39 % (31031)------------------------------
% 0.12/0.39 % (31031)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (31031)Termination reason: Unknown
% 0.12/0.39 % (31031)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (31031)Memory used [KB]: 1023
% 0.12/0.39 % (31031)Time elapsed: 0.006 s
% 0.12/0.39 % (31031)Instructions burned: 8 (million)
% 0.12/0.39 % (31031)------------------------------
% 0.12/0.39 % (31031)------------------------------
% 0.12/0.39 % (31033)Instruction limit reached!
% 0.12/0.39 % (31033)------------------------------
% 0.12/0.39 % (31033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (31033)Termination reason: Unknown
% 0.12/0.39 % (31033)Termination phase: Twee Goal Transformation
% 0.12/0.39
% 0.12/0.39 % (31033)Memory used [KB]: 1023
% 0.12/0.39 % (31033)Time elapsed: 0.003 s
% 0.12/0.39 % (31033)Instructions burned: 3 (million)
% 0.12/0.39 % (31033)------------------------------
% 0.12/0.39 % (31033)------------------------------
% 0.12/0.39 % (31032)Instruction limit reached!
% 0.12/0.39 % (31032)------------------------------
% 0.12/0.39 % (31032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.39 % (31032)Termination reason: Unknown
% 0.12/0.39 % (31032)Termination phase: Saturation
% 0.12/0.39
% 0.12/0.39 % (31032)Memory used [KB]: 5756
% 0.12/0.39 % (31032)Time elapsed: 0.011 s
% 0.12/0.39 % (31032)Instructions burned: 16 (million)
% 0.12/0.39 % (31032)------------------------------
% 0.12/0.39 % (31032)------------------------------
% 0.12/0.39 % (31034)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)
% 0.12/0.40 % (31034)Instruction limit reached!
% 0.12/0.40 % (31034)------------------------------
% 0.12/0.40 % (31034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.40 % (31034)Termination reason: Unknown
% 0.12/0.40 % (31034)Termination phase: Saturation
% 0.12/0.40
% 0.12/0.40 % (31034)Memory used [KB]: 1023
% 0.12/0.40 % (31034)Time elapsed: 0.003 s
% 0.12/0.40 % (31034)Instructions burned: 3 (million)
% 0.12/0.40 % (31034)------------------------------
% 0.12/0.40 % (31034)------------------------------
% 0.12/0.40 % (31035)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)
% 0.12/0.40 % (31036)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)
% 0.18/0.40 % (31036)Instruction limit reached!
% 0.18/0.40 % (31036)------------------------------
% 0.18/0.40 % (31036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (31036)Termination reason: Unknown
% 0.18/0.40 % (31036)Termination phase: Saturation
% 0.18/0.40
% 0.18/0.40 % (31036)Memory used [KB]: 5500
% 0.18/0.40 % (31036)Time elapsed: 0.003 s
% 0.18/0.40 % (31036)Instructions burned: 3 (million)
% 0.18/0.40 % (31036)------------------------------
% 0.18/0.40 % (31036)------------------------------
% 0.18/0.40 % (31035)Refutation not found, incomplete strategy
% 0.18/0.40 % (31035)------------------------------
% 0.18/0.40 % (31035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.40 % (31035)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 % (31035)Memory used [KB]: 5500
% 0.18/0.40 % (31035)Time elapsed: 0.004 s
% 0.18/0.40 % (31035)Instructions burned: 4 (million)
% 0.18/0.40 % (31035)------------------------------
% 0.18/0.40 % (31035)------------------------------
% 0.18/0.40 % (31038)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)
% 0.18/0.41 % (31039)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.41 % (31038)Instruction limit reached!
% 0.18/0.41 % (31038)------------------------------
% 0.18/0.41 % (31038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.41 % (31038)Termination reason: Unknown
% 0.18/0.41 % (31038)Termination phase: Saturation
% 0.18/0.41
% 0.18/0.41 % (31038)Memory used [KB]: 5628
% 0.18/0.41 % (31038)Time elapsed: 0.011 s
% 0.18/0.41 % (31038)Instructions burned: 18 (million)
% 0.18/0.41 % (31038)------------------------------
% 0.18/0.41 % (31038)------------------------------
% 0.18/0.42 % (31040)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.42 % (31037)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.42 % (31041)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)
% 0.18/0.42 % (31037)Instruction limit reached!
% 0.18/0.42 % (31037)------------------------------
% 0.18/0.42 % (31037)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (31037)Termination reason: Unknown
% 0.18/0.42 % (31037)Termination phase: Saturation
% 0.18/0.42
% 0.18/0.42 % (31037)Memory used [KB]: 5500
% 0.18/0.42 % (31037)Time elapsed: 0.028 s
% 0.18/0.42 % (31037)Instructions burned: 5 (million)
% 0.18/0.42 % (31037)------------------------------
% 0.18/0.42 % (31037)------------------------------
% 0.18/0.42 % (31040)Instruction limit reached!
% 0.18/0.42 % (31040)------------------------------
% 0.18/0.42 % (31040)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.42 % (31040)Termination reason: Unknown
% 0.18/0.42 % (31040)Termination phase: Saturation
% 0.18/0.42
% 0.18/0.42 % (31040)Memory used [KB]: 5500
% 0.18/0.42 % (31040)Time elapsed: 0.005 s
% 0.18/0.42 % (31040)Instructions burned: 6 (million)
% 0.18/0.42 % (31040)------------------------------
% 0.18/0.42 % (31040)------------------------------
% 0.18/0.43 % (31042)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)
% 0.18/0.43 % (31019)Instruction limit reached!
% 0.18/0.43 % (31019)------------------------------
% 0.18/0.43 % (31019)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.43 % (31019)Termination reason: Unknown
% 0.18/0.43 % (31019)Termination phase: Saturation
% 0.18/0.43
% 0.18/0.43 % (31019)Memory used [KB]: 6908
% 0.18/0.43 % (31019)Time elapsed: 0.077 s
% 0.18/0.43 % (31019)Instructions burned: 184 (million)
% 0.18/0.43 % (31019)------------------------------
% 0.18/0.43 % (31019)------------------------------
% 0.18/0.43 % (31044)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)
% 0.18/0.43 % (31043)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.18/0.44 % (31044)Instruction limit reached!
% 0.18/0.44 % (31044)------------------------------
% 0.18/0.44 % (31044)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (31044)Termination reason: Unknown
% 0.18/0.44 % (31044)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (31044)Memory used [KB]: 5500
% 0.18/0.44 % (31044)Time elapsed: 0.005 s
% 0.18/0.44 % (31044)Instructions burned: 8 (million)
% 0.18/0.44 % (31044)------------------------------
% 0.18/0.44 % (31044)------------------------------
% 0.18/0.44 % (31043)Instruction limit reached!
% 0.18/0.44 % (31043)------------------------------
% 0.18/0.44 % (31043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (31043)Termination reason: Unknown
% 0.18/0.44 % (31043)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (31043)Memory used [KB]: 5500
% 0.18/0.44 % (31043)Time elapsed: 0.004 s
% 0.18/0.44 % (31043)Instructions burned: 5 (million)
% 0.18/0.44 % (31043)------------------------------
% 0.18/0.44 % (31043)------------------------------
% 0.18/0.44 % (31045)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.18/0.44 % (31042)Instruction limit reached!
% 0.18/0.44 % (31042)------------------------------
% 0.18/0.44 % (31042)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.44 % (31042)Termination reason: Unknown
% 0.18/0.44 % (31042)Termination phase: Saturation
% 0.18/0.44
% 0.18/0.44 % (31042)Memory used [KB]: 5628
% 0.18/0.44 % (31042)Time elapsed: 0.013 s
% 0.18/0.44 % (31042)Instructions burned: 21 (million)
% 0.18/0.44 % (31042)------------------------------
% 0.18/0.44 % (31042)------------------------------
% 0.18/0.45 % (31046)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)
% 0.18/0.45 % (31047)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)
% 0.18/0.46 % (31047)Instruction limit reached!
% 0.18/0.46 % (31047)------------------------------
% 0.18/0.46 % (31047)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.46 % (31047)Termination reason: Unknown
% 0.18/0.46 % (31047)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (31047)Memory used [KB]: 5628
% 0.18/0.46 % (31047)Time elapsed: 0.011 s
% 0.18/0.46 % (31047)Instructions burned: 20 (million)
% 0.18/0.46 % (31047)------------------------------
% 0.18/0.46 % (31047)------------------------------
% 0.18/0.46 % (31048)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)
% 0.18/0.48 % (31049)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.18/0.48 % (31024)Instruction limit reached!
% 0.18/0.48 % (31024)------------------------------
% 0.18/0.48 % (31024)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.48 % (31024)Termination reason: Unknown
% 0.18/0.48 % (31024)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (31024)Memory used [KB]: 6140
% 0.18/0.48 % (31024)Time elapsed: 0.133 s
% 0.18/0.48 % (31024)Instructions burned: 276 (million)
% 0.18/0.48 % (31024)------------------------------
% 0.18/0.48 % (31024)------------------------------
% 0.18/0.49 % (31049)Instruction limit reached!
% 0.18/0.49 % (31049)------------------------------
% 0.18/0.49 % (31049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.49 % (31049)Termination reason: Unknown
% 0.18/0.49 % (31049)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (31049)Memory used [KB]: 5628
% 0.18/0.49 % (31049)Time elapsed: 0.012 s
% 0.18/0.49 % (31049)Instructions burned: 17 (million)
% 0.18/0.49 % (31049)------------------------------
% 0.18/0.49 % (31049)------------------------------
% 0.18/0.50 % (31051)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.18/0.50 % (31050)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.18/0.50 % (31050)Instruction limit reached!
% 0.18/0.50 % (31050)------------------------------
% 0.18/0.50 % (31050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.50 % (31050)Termination reason: Unknown
% 0.18/0.50 % (31050)Termination phase: Property scanning
% 0.18/0.50
% 0.18/0.50 % (31050)Memory used [KB]: 1023
% 0.18/0.50 % (31050)Time elapsed: 0.003 s
% 0.18/0.50 % (31050)Instructions burned: 3 (million)
% 0.18/0.50 % (31050)------------------------------
% 0.18/0.50 % (31050)------------------------------
% 0.18/0.51 % (31051)Instruction limit reached!
% 0.18/0.51 % (31051)------------------------------
% 0.18/0.51 % (31051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.51 % (31051)Termination reason: Unknown
% 0.18/0.51 % (31051)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (31051)Memory used [KB]: 5628
% 0.18/0.51 % (31051)Time elapsed: 0.018 s
% 0.18/0.51 % (31051)Instructions burned: 31 (million)
% 0.18/0.51 % (31051)------------------------------
% 0.18/0.51 % (31051)------------------------------
% 0.18/0.52 % (31052)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)
% 0.18/0.53 % (31053)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)
% 0.18/0.55 % (31045)Instruction limit reached!
% 0.18/0.55 % (31045)------------------------------
% 0.18/0.55 % (31045)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.55 % (31045)Termination reason: Unknown
% 0.18/0.55 % (31045)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (31045)Memory used [KB]: 6268
% 0.18/0.55 % (31045)Time elapsed: 0.118 s
% 0.18/0.55 % (31045)Instructions burned: 378 (million)
% 0.18/0.55 % (31045)------------------------------
% 0.18/0.55 % (31045)------------------------------
% 0.18/0.56 % (31054)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)
% 0.18/0.56 % (31054)Instruction limit reached!
% 0.18/0.56 % (31054)------------------------------
% 0.18/0.56 % (31054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.56 % (31054)Termination reason: Unknown
% 0.18/0.56 % (31054)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (31054)Memory used [KB]: 5500
% 0.18/0.57 % (31054)Time elapsed: 0.025 s
% 0.18/0.57 % (31054)Instructions burned: 5 (million)
% 0.18/0.57 % (31054)------------------------------
% 0.18/0.57 % (31054)------------------------------
% 0.18/0.57 % (31055)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 (2997ds/20Mi)
% 0.18/0.58 % (31053)Instruction limit reached!
% 0.18/0.58 % (31053)------------------------------
% 0.18/0.58 % (31053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.58 % (31053)Termination reason: Unknown
% 0.18/0.58 % (31053)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (31053)Memory used [KB]: 5756
% 0.18/0.58 % (31053)Time elapsed: 0.074 s
% 0.18/0.58 % (31053)Instructions burned: 100 (million)
% 0.18/0.58 % (31053)------------------------------
% 0.18/0.58 % (31053)------------------------------
% 0.18/0.58 % (31055)Instruction limit reached!
% 0.18/0.58 % (31055)------------------------------
% 0.18/0.58 % (31055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.58 % (31055)Termination reason: Unknown
% 0.18/0.58 % (31055)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (31055)Memory used [KB]: 5628
% 0.18/0.58 % (31055)Time elapsed: 0.030 s
% 0.18/0.58 % (31055)Instructions burned: 20 (million)
% 0.18/0.58 % (31055)------------------------------
% 0.18/0.58 % (31055)------------------------------
% 0.18/0.58 % (31052)Instruction limit reached!
% 0.18/0.58 % (31052)------------------------------
% 0.18/0.58 % (31052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.18/0.58 % (31052)Termination reason: Unknown
% 0.18/0.58 % (31052)Termination phase: Saturation
% 0.18/0.58
% 0.18/0.58 % (31052)Memory used [KB]: 6012
% 0.18/0.58 % (31052)Time elapsed: 0.088 s
% 0.18/0.58 % (31052)Instructions burned: 128 (million)
% 0.18/0.58 % (31052)------------------------------
% 0.18/0.58 % (31052)------------------------------
% 0.18/0.59 % (31056)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 (2997ds/86Mi)
% 2.02/0.60 % (31058)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 (2997ds/39Mi)
% 2.02/0.60 % (31057)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 (2997ds/107Mi)
% 2.10/0.62 % (31058)Instruction limit reached!
% 2.10/0.62 % (31058)------------------------------
% 2.10/0.62 % (31058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.62 % (31058)Termination reason: Unknown
% 2.10/0.62 % (31058)Termination phase: Saturation
% 2.10/0.62
% 2.10/0.62 % (31058)Memory used [KB]: 5756
% 2.10/0.62 % (31058)Time elapsed: 0.044 s
% 2.10/0.62 % (31058)Instructions burned: 40 (million)
% 2.10/0.62 % (31058)------------------------------
% 2.10/0.62 % (31058)------------------------------
% 2.10/0.63 % (31056)Instruction limit reached!
% 2.10/0.63 % (31056)------------------------------
% 2.10/0.63 % (31056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.10/0.63 % (31056)Termination reason: Unknown
% 2.10/0.63 % (31056)Termination phase: Saturation
% 2.10/0.63
% 2.10/0.63 % (31056)Memory used [KB]: 6140
% 2.10/0.63 % (31056)Time elapsed: 0.063 s
% 2.10/0.63 % (31056)Instructions burned: 87 (million)
% 2.10/0.63 % (31056)------------------------------
% 2.10/0.63 % (31056)------------------------------
% 2.29/0.63 % (31059)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.29/0.64 % (31060)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.29/0.64 % (31057)Instruction limit reached!
% 2.29/0.64 % (31057)------------------------------
% 2.29/0.64 % (31057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.64 % (31057)Termination reason: Unknown
% 2.29/0.64 % (31057)Termination phase: Saturation
% 2.29/0.64
% 2.29/0.64 % (31057)Memory used [KB]: 5756
% 2.29/0.64 % (31057)Time elapsed: 0.075 s
% 2.29/0.64 % (31057)Instructions burned: 108 (million)
% 2.29/0.64 % (31057)------------------------------
% 2.29/0.64 % (31057)------------------------------
% 2.29/0.65 % (31060)Instruction limit reached!
% 2.29/0.65 % (31060)------------------------------
% 2.29/0.65 % (31060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.65 % (31060)Termination reason: Unknown
% 2.29/0.65 % (31060)Termination phase: Saturation
% 2.29/0.65
% 2.29/0.65 % (31060)Memory used [KB]: 5756
% 2.29/0.65 % (31060)Time elapsed: 0.018 s
% 2.29/0.65 % (31060)Instructions burned: 46 (million)
% 2.29/0.65 % (31060)------------------------------
% 2.29/0.65 % (31060)------------------------------
% 2.29/0.66 % (31061)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 (2996ds/98Mi)
% 2.29/0.66 % (31062)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 (2996ds/507Mi)
% 2.29/0.70 % (31061)First to succeed.
% 2.29/0.70 % (31061)Refutation found. Thanks to Tanya!
% 2.29/0.70 % SZS status Theorem for theBenchmark
% 2.29/0.70 % SZS output start Proof for theBenchmark
% 2.29/0.70 thf(func_def_14, type, ph0: !>[X0: $tType]:(X0)).
% 2.29/0.70 thf(func_def_15, type, sK1: ($i > $o) > $i > $o).
% 2.29/0.70 thf(func_def_17, type, sK3: $i > $o).
% 2.29/0.70 thf(func_def_18, type, sK4: ($i > $o) > ($i > $o) > $i).
% 2.29/0.70 thf(f337,plain,(
% 2.29/0.70 $false),
% 2.29/0.70 inference(trivial_inequality_removal,[],[f336])).
% 2.29/0.70 thf(f336,plain,(
% 2.29/0.70 ($true = $false)),
% 2.29/0.70 inference(backward_demodulation,[],[f300,f332])).
% 2.29/0.70 thf(f332,plain,(
% 2.29/0.70 ((sK3 @ sK5) = $false)),
% 2.29/0.70 inference(trivial_inequality_removal,[],[f328])).
% 2.29/0.70 thf(f328,plain,(
% 2.29/0.70 ($true = $false) | ((sK3 @ sK5) = $false)),
% 2.29/0.70 inference(superposition,[],[f24,f303])).
% 2.29/0.70 thf(f303,plain,(
% 2.29/0.70 ( ! [X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0)))) = $false) | ((X1 @ sK5) = $false)) )),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f302])).
% 2.29/0.70 thf(f302,plain,(
% 2.29/0.70 ( ! [X1 : $i > $o] : ((((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK1 @ X1 @ Y0)))) & (X1 @ sK5)) = $false)) )),
% 2.29/0.70 inference(beta_eta_normalization,[],[f301])).
% 2.29/0.70 thf(f301,plain,(
% 2.29/0.70 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5))) @ X1) = $false)) )),
% 2.29/0.70 inference(pi_clausification,[],[f299])).
% 2.29/0.70 thf(f299,plain,(
% 2.29/0.70 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5)))))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f298])).
% 2.29/0.70 thf(f298,plain,(
% 2.29/0.70 (((sK3 @ sK5) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK5))))) = $false)),
% 2.29/0.70 inference(beta_eta_normalization,[],[f297])).
% 2.29/0.70 thf(f297,plain,(
% 2.29/0.70 (((^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK5) = $false)),
% 2.29/0.70 inference(sigma_clausification,[],[f294])).
% 2.29/0.70 thf(f294,plain,(
% 2.29/0.70 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false)),
% 2.29/0.70 inference(trivial_inequality_removal,[],[f293])).
% 2.29/0.70 thf(f293,plain,(
% 2.29/0.70 ($true = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false)),
% 2.29/0.70 inference(forward_demodulation,[],[f287,f23])).
% 2.29/0.70 thf(f23,plain,(
% 2.29/0.70 ($true = (sK3 @ sK2))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f22])).
% 2.29/0.70 thf(f22,plain,(
% 2.29/0.70 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0)))) & (sK3 @ sK2)))),
% 2.29/0.70 inference(beta_eta_normalization,[],[f21])).
% 2.29/0.70 thf(f21,plain,(
% 2.29/0.70 ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2))) @ sK3))),
% 2.29/0.70 inference(sigma_clausification,[],[f20])).
% 2.29/0.70 thf(f20,plain,(
% 2.29/0.70 ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2)))))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f18])).
% 2.29/0.70 thf(f18,plain,(
% 2.29/0.70 (((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK1 @ Y0 @ Y1)))) & (Y0 @ sK2)))) => (sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK2)) = $false)),
% 2.29/0.70 inference(beta_eta_normalization,[],[f17])).
% 2.29/0.70 thf(f17,plain,(
% 2.29/0.70 (((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ sK2) = $false)),
% 2.29/0.70 inference(sigma_clausification,[],[f10])).
% 2.29/0.70 thf(f10,plain,(
% 2.29/0.70 ((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) = $false)),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f9])).
% 2.29/0.70 thf(f9,plain,(
% 2.29/0.70 (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2))))))))) => (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0)))) => (sK1 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) = $false)),
% 2.29/0.70 inference(beta_eta_normalization,[],[f8])).
% 2.29/0.70 thf(f8,plain,(
% 2.29/0.70 (((^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))) @ sK1) = $false)),
% 2.29/0.70 inference(sigma_clausification,[],[f7])).
% 2.29/0.70 thf(f7,plain,(
% 2.29/0.70 ($false = (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1))))))))),
% 2.29/0.70 inference(not_proxy_clausification,[],[f6])).
% 2.29/0.70 thf(f6,plain,(
% 2.29/0.70 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))))),
% 2.29/0.70 inference(cnf_transformation,[],[f5])).
% 2.29/0.70 thf(f5,plain,(
% 2.29/0.70 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((!! @ ($i > $o) @ (^[Y1 : $i > $o]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) => (Y2 @ Y3)))) => (!! @ $i @ (^[Y3 : $i]: ((Y0 @ Y1 @ Y3) => (Y0 @ Y2 @ Y3))))))))) => (!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))))),
% 2.29/0.70 inference(fool_elimination,[],[f4])).
% 2.29/0.70 thf(f4,plain,(
% 2.29/0.70 ~! [X0 : ($i > $o) > $i > $o] : (! [X1 : $i > $o,X2 : $i > $o] : (! [X3] : ((X2 @ X3) => (X1 @ X3)) => ! [X4] : ((X0 @ X2 @ X4) => (X0 @ X1 @ X4))) => ! [X5] : (? [X6 : $i > $o] : ((X6 @ X5) & ! [X7] : ((X6 @ X7) => (X0 @ X6 @ X7))) => (X0 @ (^[X8 : $i] : (? [X9 : $i > $o] : ((X9 @ X8) & ! [X10] : ((X9 @ X10) => (X0 @ X9 @ X10))))) @ X5)))),
% 2.29/0.70 inference(rectify,[],[f2])).
% 2.29/0.70 thf(f2,negated_conjecture,(
% 2.29/0.70 ~! [X0 : ($i > $o) > $i > $o] : (! [X2 : $i > $o,X1 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3))) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1)))),
% 2.29/0.70 inference(negated_conjecture,[],[f1])).
% 2.29/0.70 thf(f1,conjecture,(
% 2.29/0.70 ! [X0 : ($i > $o) > $i > $o] : (! [X2 : $i > $o,X1 : $i > $o] : (! [X3] : ((X1 @ X3) => (X2 @ X3)) => ! [X3] : ((X0 @ X1 @ X3) => (X0 @ X2 @ X3))) => ! [X1] : (? [X4 : $i > $o] : ((X4 @ X1) & ! [X3] : ((X4 @ X3) => (X0 @ X4 @ X3))) => (X0 @ (^[X3 : $i] : (? [X4 : $i > $o] : ((X4 @ X3) & ! [X5] : ((X4 @ X5) => (X0 @ X4 @ X5))))) @ X1)))),
% 2.29/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM2A_TWO_pme)).
% 2.29/0.70 thf(f287,plain,(
% 2.29/0.70 ((sK3 @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))))) = $false)),
% 2.29/0.70 inference(beta_eta_normalization,[],[f286])).
% 2.29/0.70 thf(f286,plain,(
% 2.29/0.70 ((sK3 @ sK2) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) = $false)),
% 2.29/0.70 inference(trivial_inequality_removal,[],[f273])).
% 2.29/0.70 thf(f273,plain,(
% 2.29/0.70 ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => ((^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK1 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) = $false) | ((sK3 @ sK2) = $false) | ($true = $false)),
% 2.29/0.70 inference(superposition,[],[f19,f56])).
% 2.29/0.70 thf(f56,plain,(
% 2.29/0.70 ( ! [X0 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0)))) = $false) | ((sK1 @ X1 @ X0) = $true) | ((sK3 @ X0) = $false)) )),
% 2.29/0.70 inference(trivial_inequality_removal,[],[f32])).
% 2.29/0.70 thf(f32,plain,(
% 2.29/0.70 ( ! [X0 : $i,X1 : $i > $o] : (($true = $false) | ((sK3 @ X0) = $false) | ((sK1 @ X1 @ X0) = $true) | ((!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (X1 @ Y0)))) = $false)) )),
% 2.29/0.70 inference(superposition,[],[f30,f27])).
% 2.29/0.70 thf(f27,plain,(
% 2.29/0.70 ( ! [X1 : $i] : (($true = (sK1 @ sK3 @ X1)) | ((sK3 @ X1) = $false)) )),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f26])).
% 2.29/0.70 thf(f26,plain,(
% 2.29/0.70 ( ! [X1 : $i] : (($true = ((sK3 @ X1) => (sK1 @ sK3 @ X1)))) )),
% 2.29/0.70 inference(beta_eta_normalization,[],[f25])).
% 2.29/0.70 thf(f25,plain,(
% 2.29/0.70 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0))) @ X1))) )),
% 2.29/0.70 inference(pi_clausification,[],[f24])).
% 2.29/0.70 thf(f30,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((sK1 @ X1 @ X3) = $false) | ($true = (sK1 @ X2 @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f29])).
% 2.29/0.70 thf(f29,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false) | ($true = ((sK1 @ X1 @ X3) => (sK1 @ X2 @ X3)))) )),
% 2.29/0.70 inference(beta_eta_normalization,[],[f28])).
% 2.29/0.70 thf(f28,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X3 : $i,X1 : $i > $o] : (($true = ((^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))) @ X3)) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.29/0.70 inference(pi_clausification,[],[f16])).
% 2.29/0.70 thf(f16,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))))) | ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) = $false)) )),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f15])).
% 2.29/0.70 thf(f15,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (X2 @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK1 @ X1 @ Y0) => (sK1 @ X2 @ Y0))))))) )),
% 2.29/0.70 inference(beta_eta_normalization,[],[f14])).
% 2.29/0.70 thf(f14,plain,(
% 2.29/0.70 ( ! [X2 : $i > $o,X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ X1 @ Y1) => (sK1 @ Y0 @ Y1)))))) @ X2))) )),
% 2.29/0.70 inference(pi_clausification,[],[f13])).
% 2.29/0.70 thf(f13,plain,(
% 2.29/0.70 ( ! [X1 : $i > $o] : (((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((X1 @ Y1) => (Y0 @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((sK1 @ X1 @ Y1) => (sK1 @ Y0 @ Y1))))))) = $true)) )),
% 2.29/0.70 inference(beta_eta_normalization,[],[f12])).
% 2.29/0.70 thf(f12,plain,(
% 2.29/0.70 ( ! [X1 : $i > $o] : (($true = ((^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2)))))))) @ X1))) )),
% 2.29/0.70 inference(pi_clausification,[],[f11])).
% 2.29/0.70 thf(f11,plain,(
% 2.29/0.70 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) => (Y1 @ Y2)))) => (!! @ $i @ (^[Y2 : $i]: ((sK1 @ Y0 @ Y2) => (sK1 @ Y1 @ Y2))))))))))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f9])).
% 2.29/0.70 thf(f19,plain,(
% 2.29/0.70 ((sK1 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK1 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK2) = $false)),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f18])).
% 2.29/0.70 thf(f24,plain,(
% 2.29/0.70 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK3 @ Y0) => (sK1 @ sK3 @ Y0)))))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f22])).
% 2.29/0.70 thf(f300,plain,(
% 2.29/0.70 ($true = (sK3 @ sK5))),
% 2.29/0.70 inference(binary_proxy_clausification,[],[f298])).
% 2.29/0.70 % SZS output end Proof for theBenchmark
% 2.29/0.70 % (31061)------------------------------
% 2.29/0.70 % (31061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.29/0.70 % (31061)Termination reason: Refutation
% 2.29/0.70
% 2.29/0.70 % (31061)Memory used [KB]: 1279
% 2.29/0.70 % (31061)Time elapsed: 0.039 s
% 2.29/0.70 % (31061)Instructions burned: 71 (million)
% 2.29/0.70 % (31061)------------------------------
% 2.29/0.70 % (31061)------------------------------
% 2.29/0.70 % (31018)Success in time 0.359 s
% 2.29/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------