TSTP Solution File: DAT327^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : DAT327^1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n007.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 : Sun May  5 05:05:17 EDT 2024

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : DAT327^1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.14  % 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
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:46:50 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH1_THM_EQU_NAR problem
% 0.14/0.36  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/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801
% 0.21/0.37  % (14021)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 Vampire---4 for (2999ds/4Mi)
% 0.21/0.37  % (14023)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.37  % (14025)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.37  % (14024)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.37  % (14026)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.37  % (14022)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 Vampire---4 for (2999ds/27Mi)
% 0.21/0.38  % (14023)Instruction limit reached!
% 0.21/0.38  % (14023)------------------------------
% 0.21/0.38  % (14023)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (14023)Termination reason: Unknown
% 0.21/0.38  % (14023)Termination phase: Preprocessing 3
% 0.21/0.38  % Exception at run slice level
% 0.21/0.38  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.38  
% 0.21/0.38  % (14023)Memory used [KB]: 895
% 0.21/0.38  % (14023)Time elapsed: 0.003 s
% 0.21/0.38  % (14023)Instructions burned: 2 (million)
% 0.21/0.38  % (14023)------------------------------
% 0.21/0.38  % (14023)------------------------------
% 0.21/0.38  % (14021)Instruction limit reached!
% 0.21/0.38  % (14021)------------------------------
% 0.21/0.38  % (14021)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (14021)Termination reason: Unknown
% 0.21/0.38  % (14021)Termination phase: Saturation
% 0.21/0.38  
% 0.21/0.38  % (14021)Memory used [KB]: 5500
% 0.21/0.38  % (14021)Time elapsed: 0.005 s
% 0.21/0.38  % (14021)Instructions burned: 4 (million)
% 0.21/0.38  % (14021)------------------------------
% 0.21/0.38  % (14021)------------------------------
% 0.21/0.38  % (14025)Refutation not found, incomplete strategy
% 0.21/0.38  % (14025)------------------------------
% 0.21/0.38  % (14025)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (14025)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38  
% 0.21/0.38  
% 0.21/0.38  % (14025)Memory used [KB]: 5500
% 0.21/0.38  % (14025)Time elapsed: 0.004 s
% 0.21/0.38  % (14025)Instructions burned: 2 (million)
% 0.21/0.38  % (14025)------------------------------
% 0.21/0.38  % (14025)------------------------------
% 0.21/0.38  % (14020)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38  % (14027)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.39  % (14027)Instruction limit reached!
% 0.21/0.39  % (14027)------------------------------
% 0.21/0.39  % (14027)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (14027)Termination reason: Unknown
% 0.21/0.39  % (14027)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14027)Memory used [KB]: 5500
% 0.21/0.39  % (14027)Time elapsed: 0.004 s
% 0.21/0.39  % (14027)Instructions burned: 3 (million)
% 0.21/0.39  % (14027)------------------------------
% 0.21/0.39  % (14027)------------------------------
% 0.21/0.39  % (14026)Instruction limit reached!
% 0.21/0.39  % (14026)------------------------------
% 0.21/0.39  % (14026)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (14026)Termination reason: Unknown
% 0.21/0.39  % (14026)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14026)Memory used [KB]: 5628
% 0.21/0.39  % (14026)Time elapsed: 0.015 s
% 0.21/0.39  % (14026)Instructions burned: 19 (million)
% 0.21/0.39  % (14026)------------------------------
% 0.21/0.39  % (14026)------------------------------
% 0.21/0.39  % (14028)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.39  % (14030)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.39  % Exception at run slice level
% 0.21/0.39  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.39  % (14031)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.39  % Exception at run slice level
% 0.21/0.39  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.39  % (14029)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.39  % (14030)Instruction limit reached!
% 0.21/0.39  % (14030)------------------------------
% 0.21/0.39  % (14030)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (14030)Termination reason: Unknown
% 0.21/0.39  % (14030)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14030)Memory used [KB]: 5500
% 0.21/0.39  % (14030)Time elapsed: 0.004 s
% 0.21/0.39  % (14030)Instructions burned: 3 (million)
% 0.21/0.39  % (14030)------------------------------
% 0.21/0.39  % (14030)------------------------------
% 0.21/0.39  % (14022)Instruction limit reached!
% 0.21/0.39  % (14022)------------------------------
% 0.21/0.39  % (14022)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39  % (14022)Termination reason: Unknown
% 0.21/0.39  % (14022)Termination phase: Saturation
% 0.21/0.39  
% 0.21/0.39  % (14022)Memory used [KB]: 5628
% 0.21/0.39  % (14022)Time elapsed: 0.021 s
% 0.21/0.39  % (14022)Instructions burned: 28 (million)
% 0.21/0.39  % (14022)------------------------------
% 0.21/0.39  % (14022)------------------------------
% 0.21/0.40  % (14032)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40  % (14033)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.40  % (14029)Instruction limit reached!
% 0.21/0.40  % (14029)------------------------------
% 0.21/0.40  % (14029)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (14029)Termination reason: Unknown
% 0.21/0.40  % (14029)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (14029)Memory used [KB]: 5628
% 0.21/0.40  % (14029)Time elapsed: 0.012 s
% 0.21/0.40  % (14029)Instructions burned: 15 (million)
% 0.21/0.40  % (14029)------------------------------
% 0.21/0.40  % (14029)------------------------------
% 0.21/0.40  % (14032)Instruction limit reached!
% 0.21/0.40  % (14032)------------------------------
% 0.21/0.40  % (14032)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40  % (14032)Termination reason: Unknown
% 0.21/0.40  % (14032)Termination phase: Saturation
% 0.21/0.40  
% 0.21/0.40  % (14032)Memory used [KB]: 1023
% 0.21/0.40  % (14032)Time elapsed: 0.006 s
% 0.21/0.40  % (14032)Instructions burned: 7 (million)
% 0.21/0.40  % (14032)------------------------------
% 0.21/0.40  % (14032)------------------------------
% 0.21/0.41  % (14034)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.41  % (14035)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.41  % (14034)Instruction limit reached!
% 0.21/0.41  % (14034)------------------------------
% 0.21/0.41  % (14034)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (14036)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41  % (14034)Termination reason: Unknown
% 0.21/0.41  % (14034)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14034)Memory used [KB]: 5500
% 0.21/0.41  % (14034)Time elapsed: 0.004 s
% 0.21/0.41  % (14034)Instructions burned: 3 (million)
% 0.21/0.41  % (14034)------------------------------
% 0.21/0.41  % (14034)------------------------------
% 0.21/0.41  % (14037)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.41  % (14035)Instruction limit reached!
% 0.21/0.41  % (14035)------------------------------
% 0.21/0.41  % (14035)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (14035)Termination reason: Unknown
% 0.21/0.41  % (14035)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14035)Memory used [KB]: 1023
% 0.21/0.41  % (14035)Time elapsed: 0.004 s
% 0.21/0.41  % (14035)Instructions burned: 3 (million)
% 0.21/0.41  % (14035)------------------------------
% 0.21/0.41  % (14035)------------------------------
% 0.21/0.41  % Exception at run slice level
% 0.21/0.41  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.41  % (14036)Instruction limit reached!
% 0.21/0.41  % (14036)------------------------------
% 0.21/0.41  % (14036)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (14036)Termination reason: Unknown
% 0.21/0.41  % (14036)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14036)Memory used [KB]: 5500
% 0.21/0.41  % (14036)Time elapsed: 0.007 s
% 0.21/0.41  % (14036)Instructions burned: 8 (million)
% 0.21/0.41  % (14036)------------------------------
% 0.21/0.41  % (14036)------------------------------
% 0.21/0.41  % (14033)Instruction limit reached!
% 0.21/0.41  % (14033)------------------------------
% 0.21/0.41  % (14033)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41  % (14033)Termination reason: Unknown
% 0.21/0.41  % (14033)Termination phase: Saturation
% 0.21/0.41  
% 0.21/0.41  % (14033)Memory used [KB]: 5756
% 0.21/0.41  % (14033)Time elapsed: 0.014 s
% 0.21/0.41  % (14033)Instructions burned: 17 (million)
% 0.21/0.41  % (14033)------------------------------
% 0.21/0.41  % (14033)------------------------------
% 0.21/0.42  % (14038)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.42  % (14039)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.42  % (14038)Instruction limit reached!
% 0.21/0.42  % (14038)------------------------------
% 0.21/0.42  % (14038)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42  % (14038)Termination reason: Unknown
% 0.21/0.42  % (14038)Termination phase: Saturation
% 0.21/0.42  
% 0.21/0.42  % (14038)Memory used [KB]: 5500
% 0.21/0.42  % (14038)Time elapsed: 0.005 s
% 0.21/0.42  % (14038)Instructions burned: 4 (million)
% 0.21/0.42  % (14038)------------------------------
% 0.21/0.42  % (14038)------------------------------
% 0.21/0.42  % (14040)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.42  % (14041)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.42  % (14042)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 Vampire---4 for (2999ds/902Mi)
% 0.21/0.43  % (14043)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 Vampire---4 for (2999ds/21Mi)
% 0.21/0.43  % (14041)Instruction limit reached!
% 0.21/0.43  % (14041)------------------------------
% 0.21/0.43  % (14041)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (14041)Termination reason: Unknown
% 0.21/0.43  % (14041)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (14041)Memory used [KB]: 5500
% 0.21/0.43  % (14041)Time elapsed: 0.006 s
% 0.21/0.43  % (14041)Instructions burned: 6 (million)
% 0.21/0.43  % (14041)------------------------------
% 0.21/0.43  % (14041)------------------------------
% 0.21/0.43  % (14044)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.43  % Exception at run slice level
% 0.21/0.43  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.43  % (14039)Instruction limit reached!
% 0.21/0.43  % (14039)------------------------------
% 0.21/0.43  % (14039)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43  % (14039)Termination reason: Unknown
% 0.21/0.43  % (14039)Termination phase: Saturation
% 0.21/0.43  
% 0.21/0.43  % (14039)Memory used [KB]: 5628
% 0.21/0.43  % (14039)Time elapsed: 0.013 s
% 0.21/0.43  % (14039)Instructions burned: 19 (million)
% 0.21/0.43  % (14039)------------------------------
% 0.21/0.43  % (14039)------------------------------
% 0.21/0.44  % (14045)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 Vampire---4 for (2999ds/6Mi)
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.44  % (14048)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 Vampire---4 for (2999ds/19Mi)
% 0.21/0.44  % Exception at run slice level
% 0.21/0.44  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.44  % (14046)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.44  % (14047)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 Vampire---4 for (2999ds/779Mi)
% 0.21/0.44  % Exception at run slice level
% 0.21/0.45  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.45  % (14043)Instruction limit reached!
% 0.21/0.45  % (14043)------------------------------
% 0.21/0.45  % (14043)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45  % (14043)Termination reason: Unknown
% 0.21/0.45  % (14043)Termination phase: Saturation
% 0.21/0.45  
% 0.21/0.45  % (14043)Memory used [KB]: 5628
% 0.21/0.45  % (14043)Time elapsed: 0.022 s
% 0.21/0.45  % (14043)Instructions burned: 21 (million)
% 0.21/0.45  % (14043)------------------------------
% 0.21/0.45  % (14043)------------------------------
% 0.21/0.45  % (14050)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.45  % (14049)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.46  % (14050)Instruction limit reached!
% 0.21/0.46  % (14050)------------------------------
% 0.21/0.46  % (14050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (14050)Termination reason: Unknown
% 0.21/0.46  % (14050)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (14050)Memory used [KB]: 5628
% 0.21/0.46  % (14050)Time elapsed: 0.008 s
% 0.21/0.46  % (14050)Instructions burned: 18 (million)
% 0.21/0.46  % (14050)------------------------------
% 0.21/0.46  % (14050)------------------------------
% 0.21/0.46  % (14051)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.46  % (14051)Instruction limit reached!
% 0.21/0.46  % (14051)------------------------------
% 0.21/0.46  % (14051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46  % (14051)Termination reason: Unknown
% 0.21/0.46  % (14051)Termination phase: Saturation
% 0.21/0.46  
% 0.21/0.46  % (14051)Memory used [KB]: 1023
% 0.21/0.46  % (14051)Time elapsed: 0.003 s
% 0.21/0.46  % (14051)Instructions burned: 3 (million)
% 0.21/0.46  % (14051)------------------------------
% 0.21/0.46  % (14051)------------------------------
% 0.21/0.46  % (14052)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.21/0.46  % (14053)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.21/0.47  % (14054)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.21/0.48  % (14052)Instruction limit reached!
% 0.21/0.48  % (14052)------------------------------
% 0.21/0.48  % (14052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (14052)Termination reason: Unknown
% 0.21/0.48  % (14052)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (14052)Memory used [KB]: 5756
% 0.21/0.48  % (14052)Time elapsed: 0.015 s
% 0.21/0.48  % (14052)Instructions burned: 32 (million)
% 0.21/0.48  % (14052)------------------------------
% 0.21/0.48  % (14052)------------------------------
% 0.21/0.48  % (14020)Instruction limit reached!
% 0.21/0.48  % (14020)------------------------------
% 0.21/0.48  % (14020)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48  % (14020)Termination reason: Unknown
% 0.21/0.48  % (14020)Termination phase: Saturation
% 0.21/0.48  
% 0.21/0.48  % (14020)Memory used [KB]: 6268
% 0.21/0.48  % (14020)Time elapsed: 0.103 s
% 0.21/0.48  % (14020)Instructions burned: 185 (million)
% 0.21/0.48  % (14020)------------------------------
% 0.21/0.48  % (14020)------------------------------
% 0.21/0.48  % (14055)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 Vampire---4 for (2998ds/3Mi)
% 0.21/0.49  % Exception at run slice level
% 0.21/0.49  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 0.21/0.49  % (14056)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 Vampire---4 for (2998ds/20Mi)
% 0.21/0.49  % (14056)Refutation not found, incomplete strategy
% 0.21/0.49  % (14056)------------------------------
% 0.21/0.49  % (14056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49  % (14056)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49  
% 0.21/0.49  
% 0.21/0.49  % (14056)Memory used [KB]: 5500
% 0.21/0.49  % (14056)Time elapsed: 0.002 s
% 0.21/0.49  % (14056)Instructions burned: 2 (million)
% 0.21/0.49  % (14056)------------------------------
% 0.21/0.49  % (14056)------------------------------
% 0.21/0.49  % (14046)First to succeed.
% 0.21/0.49  % (14057)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 Vampire---4 for (2998ds/86Mi)
% 0.21/0.49  % (14049)Also succeeded, but the first one will report.
% 0.21/0.50  % (14046)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Theorem for Vampire---4
% 0.21/0.50  % SZS output start Proof for Vampire---4
% 0.21/0.50  thf(type_def_5, type, 'type/ind_types/list': ($tType) > $tType).
% 0.21/0.50  thf(type_def_7, type, sK2: $tType).
% 0.21/0.50  thf(func_def_0, type, 'type/ind_types/list': ($tType) > $tType).
% 0.21/0.50  thf(func_def_1, type, 'const/sets/set_of_list': !>[X0: $tType]:('type/ind_types/list' @ X0 > X0 > $o)).
% 0.21/0.50  thf(func_def_2, type, 'const/sets/INSERT': !>[X0: $tType]:(X0 > (X0 > $o) > X0 > $o)).
% 0.21/0.50  thf(func_def_3, type, 'const/sets/EMPTY': !>[X0: $tType]:(X0 > $o)).
% 0.21/0.50  thf(func_def_4, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 0.21/0.50  thf(func_def_5, type, 'const/ind_types/CONS': !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 0.21/0.50  thf(func_def_10, type, sK0: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > X0)).
% 0.21/0.50  thf(func_def_11, type, sK1: !>[X0: $tType]:(('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0)).
% 0.21/0.50  thf(func_def_12, type, sK3: 'type/ind_types/list' @ sK2).
% 0.21/0.50  thf(func_def_14, type, ph5: !>[X0: $tType]:(X0)).
% 0.21/0.50  thf(func_def_18, type, sK6: !>[X0: $tType]:(X0 > (X0 > $o) > X0)).
% 0.21/0.50  thf(func_def_19, type, sK7: !>[X0: $tType]:(X0 > 'type/ind_types/list' @ X0 > X0)).
% 0.21/0.50  thf(func_def_20, type, sK8: !>[X0: $tType]:('type/ind_types/list' @ X0 > X0)).
% 0.21/0.50  thf(func_def_21, type, sK9: 'type/ind_types/list' @ sK2 > sK2).
% 0.21/0.50  thf(f473,plain,(
% 0.21/0.50    $false),
% 0.21/0.50    inference(avatar_sat_refutation,[],[f46,f47,f50,f443,f471])).
% 0.21/0.50  thf(f471,plain,(
% 0.21/0.50    spl4_2 | ~spl4_1 | ~spl4_11),
% 0.21/0.50    inference(avatar_split_clause,[],[f462,f440,f39,f43])).
% 0.21/0.50  thf(f43,plain,(
% 0.21/0.50    spl4_2 <=> ('const/ind_types/NIL' @ sK2 = sK3)),
% 0.21/0.50    introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
% 0.21/0.50  thf(f39,plain,(
% 0.21/0.50    spl4_1 <=> (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3))),
% 0.21/0.50    introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
% 0.21/0.50  thf(f440,plain,(
% 0.21/0.50    spl4_11 <=> (('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ sK3)) = $true)),
% 0.21/0.50    introduced(avatar_definition,[new_symbols(naming,[spl4_11])])).
% 0.21/0.50  thf(f462,plain,(
% 0.21/0.50    ('const/ind_types/NIL' @ sK2 = sK3) | (~spl4_1 | ~spl4_11)),
% 0.21/0.50    inference(trivial_inequality_removal,[],[f461])).
% 0.21/0.50  thf(f461,plain,(
% 0.21/0.50    ('const/ind_types/NIL' @ sK2 = sK3) | ($false = $true) | (~spl4_1 | ~spl4_11)),
% 0.21/0.50    inference(duplicate_literal_removal,[],[f450])).
% 0.21/0.50  thf(f450,plain,(
% 0.21/0.50    ('const/ind_types/NIL' @ sK2 = sK3) | ($false = $true) | ($false = $true) | (~spl4_1 | ~spl4_11)),
% 0.21/0.50    inference(superposition,[],[f393,f442])).
% 0.21/0.50  thf(f442,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ sK3)) = $true) | ~spl4_11),
% 0.21/0.50    inference(avatar_component_clause,[],[f440])).
% 0.21/0.50  thf(f393,plain,(
% 0.21/0.50    ( ! [X0 : 'type/ind_types/list' @ sK2] : (($false = ('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ X0))) | ($false = ('const/sets/set_of_list' @ sK2 @ X0 @ (sK9 @ X0))) | ('const/ind_types/NIL' @ sK2 = X0)) ) | ~spl4_1),
% 0.21/0.50    inference(binary_proxy_clausification,[],[f388])).
% 0.21/0.50  thf(f388,plain,(
% 0.21/0.50    ( ! [X0 : 'type/ind_types/list' @ sK2] : (('const/ind_types/NIL' @ sK2 = X0) | (('const/sets/set_of_list' @ sK2 @ X0 @ (sK9 @ X0)) != ('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ X0)))) ) | ~spl4_1),
% 0.21/0.50    inference(negative_extensionality,[],[f382])).
% 0.21/0.50  thf(f382,plain,(
% 0.21/0.50    ( ! [X0 : 'type/ind_types/list' @ sK2] : ((('const/sets/set_of_list' @ sK2 @ X0) != ('const/sets/set_of_list' @ sK2 @ sK3)) | ('const/ind_types/NIL' @ sK2 = X0)) ) | ~spl4_1),
% 0.21/0.50    inference(superposition,[],[f366,f41])).
% 0.21/0.50  thf(f41,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)) | ~spl4_1),
% 0.21/0.50    inference(avatar_component_clause,[],[f39])).
% 0.21/0.50  thf(f366,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/sets/set_of_list' @ X0 @ 'const/ind_types/NIL' @ X0) != ('const/sets/set_of_list' @ X0 @ X1)) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.21/0.50    inference(superposition,[],[f101,f133])).
% 0.21/0.50  thf(f133,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1) | ('const/ind_types/NIL' @ X0 = X1)) )),
% 0.21/0.50    inference(equality_proxy_clausification,[],[f132])).
% 0.21/0.50  thf(f132,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (((X1 = 'const/ind_types/NIL' @ X0) = $true) | (('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.21/0.50    inference(not_proxy_clausification,[],[f131])).
% 0.21/0.50  thf(f131,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (((~ (X1 = 'const/ind_types/NIL' @ X0)) != $true) | (('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1)) )),
% 0.21/0.50    inference(beta_eta_normalization,[],[f115])).
% 0.21/0.50  thf(f115,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ((('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0)))) @ (sK1 @ X0 @ (^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))))) = X1) | (((^[Y0 : 'type/ind_types/list' @ X0]: (~ (X1 = Y0))) @ 'const/ind_types/NIL' @ X0) != $true)) )),
% 0.21/0.50    inference(leibniz_equality_elimination,[],[f28])).
% 0.21/0.50  thf(f28,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o,X4 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) != $true) | ($true = (X1 @ X4)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true)) )),
% 0.21/0.50    inference(cnf_transformation,[],[f20])).
% 0.21/0.50  thf(f20,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((((X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) != $true) & ($true = (X1 @ (sK1 @ X0 @ X1)))) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)))),
% 0.21/0.50    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f19])).
% 0.21/0.50  thf(f19,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true) & ((X1 @ X3) = $true)) => (((X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))) != $true) & ($true = (X1 @ (sK1 @ X0 @ X1)))))),
% 0.21/0.50    introduced(choice_axiom,[])).
% 0.21/0.50  thf(f17,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true) & ((X1 @ X3) = $true)) | ((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)))),
% 0.21/0.50    inference(flattening,[],[f16])).
% 0.21/0.50  thf(f16,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)) | (((X1 @ 'const/ind_types/NIL' @ X0) != $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) != $true) & ((X1 @ X3) = $true))))),
% 0.21/0.50    inference(ennf_transformation,[],[f10])).
% 0.21/0.50  thf(f10,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : ((((X1 @ 'const/ind_types/NIL' @ X0) = $true) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : (((X1 @ X3) = $true) => ((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = $true))) => ! [X4 : 'type/ind_types/list' @ X0] : ($true = (X1 @ X4)))),
% 0.21/0.50    inference(fool_elimination,[],[f9])).
% 0.21/0.50  thf(f9,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ 'const/ind_types/NIL' @ X0) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)))) => ! [X4 : 'type/ind_types/list' @ X0] : (X1 @ X4))),
% 0.21/0.50    inference(rectify,[],[f1])).
% 0.21/0.50  thf(f1,axiom,(
% 0.21/0.50    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0 > $o] : (((X1 @ 'const/ind_types/NIL' @ X0) & ! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)))) => ! [X2 : 'type/ind_types/list' @ X0] : (X1 @ X2))),
% 0.21/0.50    file('/export/starexec/sandbox/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801','thm/ind_types/list_INDUCT_')).
% 0.21/0.50  thf(f101,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/sets/set_of_list' @ X0 @ 'const/ind_types/NIL' @ X0) != ('const/sets/set_of_list' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2)))) )),
% 0.21/0.50    inference(superposition,[],[f30,f25])).
% 0.21/0.50  thf(f25,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : X0] : ((('const/sets/INSERT' @ X0 @ X1 @ ('const/sets/set_of_list' @ X0 @ X2)) = ('const/sets/set_of_list' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2)))) )),
% 0.21/0.50    inference(cnf_transformation,[],[f13])).
% 0.21/0.50  thf(f13,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : X0,X2 : 'type/ind_types/list' @ X0] : (('const/sets/INSERT' @ X0 @ X1 @ ('const/sets/set_of_list' @ X0 @ X2)) = ('const/sets/set_of_list' @ X0 @ ('const/ind_types/CONS' @ X0 @ X1 @ X2)))),
% 0.21/0.50    inference(rectify,[],[f4])).
% 0.21/0.50  thf(f4,axiom,(
% 0.21/0.50    ! [X0 : $tType,X2 : X0,X3 : 'type/ind_types/list' @ X0] : (('const/sets/set_of_list' @ X0 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3)) = ('const/sets/INSERT' @ X0 @ X2 @ ('const/sets/set_of_list' @ X0 @ X3)))),
% 0.21/0.50    file('/export/starexec/sandbox/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801','thm/sets/set_of_list_1')).
% 0.21/0.50  thf(f30,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : ((('const/sets/set_of_list' @ X0 @ 'const/ind_types/NIL' @ X0) != ('const/sets/INSERT' @ X0 @ X1 @ X2))) )),
% 0.21/0.50    inference(definition_unfolding,[],[f23,f26])).
% 0.21/0.50  thf(f26,plain,(
% 0.21/0.50    ( ! [X0 : $tType] : (('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ 'const/ind_types/NIL' @ X0))) )),
% 0.21/0.50    inference(cnf_transformation,[],[f5])).
% 0.21/0.50  thf(f5,axiom,(
% 0.21/0.50    ! [X0 : $tType] : ('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ 'const/ind_types/NIL' @ X0))),
% 0.21/0.50    file('/export/starexec/sandbox/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801','thm/sets/set_of_list_0')).
% 0.21/0.50  thf(f23,plain,(
% 0.21/0.50    ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0] : (('const/sets/EMPTY' @ X0 != ('const/sets/INSERT' @ X0 @ X1 @ X2))) )),
% 0.21/0.50    inference(cnf_transformation,[],[f14])).
% 0.21/0.50  thf(f14,plain,(
% 0.21/0.50    ! [X0 : $tType,X1 : X0,X2 : X0 > $o] : ('const/sets/EMPTY' @ X0 != ('const/sets/INSERT' @ X0 @ X1 @ X2))),
% 0.21/0.50    inference(rectify,[],[f3])).
% 0.21/0.50  thf(f3,axiom,(
% 0.21/0.50    ! [X0 : $tType,X2 : X0,X3 : X0 > $o] : (('const/sets/INSERT' @ X0 @ X2 @ X3) != 'const/sets/EMPTY' @ X0)),
% 0.21/0.50    file('/export/starexec/sandbox/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801','thm/sets/NOT_INSERT_EMPTY_')).
% 0.21/0.50  thf(f443,plain,(
% 0.21/0.50    spl4_2 | spl4_11 | ~spl4_1),
% 0.21/0.50    inference(avatar_split_clause,[],[f438,f39,f440,f43])).
% 0.21/0.50  thf(f438,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ sK3)) = $true) | ('const/ind_types/NIL' @ sK2 = sK3) | ~spl4_1),
% 0.21/0.50    inference(trivial_inequality_removal,[],[f436])).
% 0.21/0.50  thf(f436,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ sK3)) = $true) | ('const/ind_types/NIL' @ sK2 = sK3) | ($true != $true) | ~spl4_1),
% 0.21/0.50    inference(equality_factoring,[],[f392])).
% 0.21/0.50  thf(f392,plain,(
% 0.21/0.50    ( ! [X0 : 'type/ind_types/list' @ sK2] : (($true = ('const/sets/set_of_list' @ sK2 @ sK3 @ (sK9 @ X0))) | ($true = ('const/sets/set_of_list' @ sK2 @ X0 @ (sK9 @ X0))) | ('const/ind_types/NIL' @ sK2 = X0)) ) | ~spl4_1),
% 0.21/0.50    inference(binary_proxy_clausification,[],[f388])).
% 0.21/0.50  thf(f50,plain,(
% 0.21/0.50    spl4_1 | ~spl4_2),
% 0.21/0.50    inference(avatar_contradiction_clause,[],[f49])).
% 0.21/0.50  thf(f49,plain,(
% 0.21/0.50    $false | (spl4_1 | ~spl4_2)),
% 0.21/0.50    inference(trivial_inequality_removal,[],[f48])).
% 0.21/0.50  thf(f48,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ sK3) != ('const/sets/set_of_list' @ sK2 @ sK3)) | (spl4_1 | ~spl4_2)),
% 0.21/0.50    inference(backward_demodulation,[],[f40,f45])).
% 0.21/0.50  thf(f45,plain,(
% 0.21/0.50    ('const/ind_types/NIL' @ sK2 = sK3) | ~spl4_2),
% 0.21/0.50    inference(avatar_component_clause,[],[f43])).
% 0.21/0.50  thf(f40,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) != ('const/sets/set_of_list' @ sK2 @ sK3)) | spl4_1),
% 0.21/0.50    inference(avatar_component_clause,[],[f39])).
% 0.21/0.50  thf(f47,plain,(
% 0.21/0.50    ~spl4_2 | ~spl4_1),
% 0.21/0.50    inference(avatar_split_clause,[],[f35,f39,f43])).
% 0.21/0.50  thf(f35,plain,(
% 0.21/0.50    (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) != ('const/sets/set_of_list' @ sK2 @ sK3)) | ('const/ind_types/NIL' @ sK2 != sK3)),
% 0.21/0.50    inference(equality_proxy_clausification,[],[f34])).
% 0.21/0.50  thf(f34,plain,(
% 0.21/0.50    ((('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)) = $false) | ('const/ind_types/NIL' @ sK2 != sK3)),
% 0.21/0.50    inference(equality_proxy_clausification,[],[f33])).
% 0.21/0.50  thf(f33,plain,(
% 0.21/0.50    (('const/ind_types/NIL' @ sK2 = sK3) = $false) | ((('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)) = $false)),
% 0.21/0.50    inference(binary_proxy_clausification,[],[f31])).
% 0.21/0.50  thf(f31,plain,(
% 0.21/0.50    (('const/ind_types/NIL' @ sK2 = sK3) != (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)))),
% 0.21/0.50    inference(definition_unfolding,[],[f29,f26])).
% 0.21/0.50  thf(f29,plain,(
% 0.21/0.50    (('const/ind_types/NIL' @ sK2 = sK3) != ('const/sets/EMPTY' @ sK2 = ('const/sets/set_of_list' @ sK2 @ sK3)))),
% 0.21/0.50    inference(cnf_transformation,[],[f22])).
% 0.21/0.50  thf(f22,plain,(
% 0.21/0.50    (('const/ind_types/NIL' @ sK2 = sK3) != ('const/sets/EMPTY' @ sK2 = ('const/sets/set_of_list' @ sK2 @ sK3)))),
% 0.21/0.50    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f18,f21])).
% 0.21/0.50  thf(f21,plain,(
% 0.21/0.50    ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X1)) != ('const/ind_types/NIL' @ X0 = X1)) => (('const/ind_types/NIL' @ sK2 = sK3) != ('const/sets/EMPTY' @ sK2 = ('const/sets/set_of_list' @ sK2 @ sK3)))),
% 0.21/0.50    introduced(choice_axiom,[])).
% 0.21/0.50  thf(f18,plain,(
% 0.21/0.50    ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X1)) != ('const/ind_types/NIL' @ X0 = X1))),
% 0.21/0.50    inference(ennf_transformation,[],[f12])).
% 0.21/0.50  thf(f12,plain,(
% 0.21/0.50    ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X1)) = ('const/ind_types/NIL' @ X0 = X1))),
% 0.21/0.50    inference(fool_elimination,[],[f11])).
% 0.21/0.50  thf(f11,plain,(
% 0.21/0.50    ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X1) = ('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X1)))),
% 0.21/0.50    inference(rectify,[],[f7])).
% 0.21/0.50  thf(f7,negated_conjecture,(
% 0.21/0.50    ~! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X2) = ('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X2)))),
% 0.21/0.50    inference(negated_conjecture,[],[f6])).
% 0.21/0.50  thf(f6,conjecture,(
% 0.21/0.50    ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0] : (('const/ind_types/NIL' @ X0 = X2) = ('const/sets/EMPTY' @ X0 = ('const/sets/set_of_list' @ X0 @ X2)))),
% 0.21/0.50    file('/export/starexec/sandbox/tmp/tmp.UEkLIqVtrl/Vampire---4.8_13801','thm/sets/SET_OF_LIST_EQ_EMPTY_')).
% 0.21/0.50  thf(f46,plain,(
% 0.21/0.50    spl4_1 | spl4_2),
% 0.21/0.50    inference(avatar_split_clause,[],[f37,f43,f39])).
% 0.21/0.50  thf(f37,plain,(
% 0.21/0.50    ('const/ind_types/NIL' @ sK2 = sK3) | (('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3))),
% 0.21/0.50    inference(equality_proxy_clausification,[],[f36])).
% 0.21/0.50  thf(f36,plain,(
% 0.21/0.50    ((('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)) = $true) | ('const/ind_types/NIL' @ sK2 = sK3)),
% 0.21/0.50    inference(equality_proxy_clausification,[],[f32])).
% 0.21/0.50  thf(f32,plain,(
% 0.21/0.50    (('const/ind_types/NIL' @ sK2 = sK3) = $true) | ((('const/sets/set_of_list' @ sK2 @ 'const/ind_types/NIL' @ sK2) = ('const/sets/set_of_list' @ sK2 @ sK3)) = $true)),
% 0.21/0.50    inference(binary_proxy_clausification,[],[f31])).
% 0.21/0.50  % SZS output end Proof for Vampire---4
% 0.21/0.50  % (14046)------------------------------
% 0.21/0.50  % (14046)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50  % (14046)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (14046)Memory used [KB]: 5884
% 0.21/0.50  % (14046)Time elapsed: 0.053 s
% 0.21/0.50  % (14046)Instructions burned: 89 (million)
% 0.21/0.50  % (14046)------------------------------
% 0.21/0.50  % (14046)------------------------------
% 0.21/0.50  % (14019)Success in time 0.125 s
% 0.21/0.50  % Vampire---4.8 exiting
%------------------------------------------------------------------------------