TSTP Solution File: ITP027^2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ITP027^2 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/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 : Mon May 20 22:32:58 EDT 2024

% Result   : Theorem 12.01s 1.98s
% Output   : Refutation 12.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : ITP027^2 : TPTP v8.2.0. Released v7.5.0.
% 0.09/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 17:02:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TH1_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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41  % (8138)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.41  % (8144)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.41  % (8143)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)
% 0.20/0.42  % (8140)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)
% 0.20/0.42  % (8142)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)
% 0.20/0.42  % (8139)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)
% 0.20/0.42  % (8141)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.42  % (8145)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)
% 0.20/0.42  % (8141)Instruction limit reached!
% 0.20/0.42  % (8141)------------------------------
% 0.20/0.42  % (8141)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (8141)Termination reason: Unknown
% 0.20/0.42  % (8141)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (8142)Instruction limit reached!
% 0.20/0.42  % (8142)------------------------------
% 0.20/0.42  % (8142)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (8142)Termination reason: Unknown
% 0.20/0.42  % (8142)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (8142)Memory used [KB]: 1407
% 0.20/0.42  % (8142)Time elapsed: 0.003 s
% 0.20/0.42  % (8142)Instructions burned: 2 (million)
% 0.20/0.42  % (8142)------------------------------
% 0.20/0.42  % (8142)------------------------------
% 0.20/0.42  % (8141)Memory used [KB]: 1407
% 0.20/0.42  % (8141)Time elapsed: 0.003 s
% 0.20/0.42  % (8141)Instructions burned: 2 (million)
% 0.20/0.42  % (8141)------------------------------
% 0.20/0.42  % (8141)------------------------------
% 0.20/0.42  % (8145)Instruction limit reached!
% 0.20/0.42  % (8145)------------------------------
% 0.20/0.42  % (8145)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (8145)Termination reason: Unknown
% 0.20/0.42  % (8145)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (8145)Memory used [KB]: 1407
% 0.20/0.42  % (8145)Time elapsed: 0.003 s
% 0.20/0.42  % (8145)Instructions burned: 3 (million)
% 0.20/0.42  % (8145)------------------------------
% 0.20/0.42  % (8145)------------------------------
% 0.20/0.42  % (8139)Instruction limit reached!
% 0.20/0.42  % (8139)------------------------------
% 0.20/0.42  % (8139)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (8139)Termination reason: Unknown
% 0.20/0.42  % (8139)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (8139)Memory used [KB]: 1535
% 0.20/0.42  % (8139)Time elapsed: 0.005 s
% 0.20/0.42  % (8139)Instructions burned: 5 (million)
% 0.20/0.42  % (8139)------------------------------
% 0.20/0.42  % (8139)------------------------------
% 0.20/0.42  % (8144)Instruction limit reached!
% 0.20/0.42  % (8144)------------------------------
% 0.20/0.42  % (8144)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42  % (8144)Termination reason: Unknown
% 0.20/0.42  % (8144)Termination phase: shuffling
% 0.20/0.42  
% 0.20/0.42  % (8144)Memory used [KB]: 1791
% 0.20/0.42  % (8144)Time elapsed: 0.012 s
% 0.20/0.42  % (8144)Instructions burned: 18 (million)
% 0.20/0.42  % (8144)------------------------------
% 0.20/0.42  % (8144)------------------------------
% 0.20/0.43  % (8140)Instruction limit reached!
% 0.20/0.43  % (8140)------------------------------
% 0.20/0.43  % (8140)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (8140)Termination reason: Unknown
% 0.20/0.43  % (8140)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (8140)Memory used [KB]: 1918
% 0.20/0.43  % (8140)Time elapsed: 0.018 s
% 0.20/0.43  % (8140)Instructions burned: 28 (million)
% 0.20/0.43  % (8140)------------------------------
% 0.20/0.43  % (8140)------------------------------
% 0.20/0.43  % (8148)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)
% 0.20/0.43  % (8146)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)
% 0.20/0.43  % (8147)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)
% 0.20/0.43  % (8149)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)
% 0.20/0.43  % (8148)Instruction limit reached!
% 0.20/0.43  % (8148)------------------------------
% 0.20/0.43  % (8148)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43  % (8148)Termination reason: Unknown
% 0.20/0.43  % (8148)Termination phase: shuffling
% 0.20/0.43  
% 0.20/0.43  % (8148)Memory used [KB]: 1407
% 0.20/0.43  % (8148)Time elapsed: 0.004 s
% 0.20/0.43  % (8148)Instructions burned: 4 (million)
% 0.20/0.43  % (8148)------------------------------
% 0.20/0.43  % (8148)------------------------------
% 0.20/0.44  % (8150)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.44  % (8147)Instruction limit reached!
% 0.20/0.44  % (8147)------------------------------
% 0.20/0.44  % (8147)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (8147)Termination reason: Unknown
% 0.20/0.44  % (8147)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (8147)Memory used [KB]: 1663
% 0.20/0.44  % (8147)Time elapsed: 0.011 s
% 0.20/0.44  % (8147)Instructions burned: 15 (million)
% 0.20/0.44  % (8147)------------------------------
% 0.20/0.44  % (8147)------------------------------
% 0.20/0.44  % (8150)Instruction limit reached!
% 0.20/0.44  % (8150)------------------------------
% 0.20/0.44  % (8150)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44  % (8150)Termination reason: Unknown
% 0.20/0.44  % (8150)Termination phase: shuffling
% 0.20/0.44  
% 0.20/0.44  % (8150)Memory used [KB]: 1535
% 0.20/0.44  % (8150)Time elapsed: 0.006 s
% 0.20/0.44  % (8150)Instructions burned: 8 (million)
% 0.20/0.44  % (8150)------------------------------
% 0.20/0.44  % (8150)------------------------------
% 0.20/0.45  % (8151)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.45  % (8152)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)
% 0.20/0.45  % (8152)Instruction limit reached!
% 0.20/0.45  % (8152)------------------------------
% 0.20/0.45  % (8152)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (8152)Termination reason: Unknown
% 0.20/0.45  % (8152)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (8152)Memory used [KB]: 1407
% 0.20/0.45  % (8152)Time elapsed: 0.004 s
% 0.20/0.45  % (8152)Instructions burned: 3 (million)
% 0.20/0.45  % (8152)------------------------------
% 0.20/0.45  % (8152)------------------------------
% 0.20/0.45  % (8146)Instruction limit reached!
% 0.20/0.45  % (8146)------------------------------
% 0.20/0.45  % (8146)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45  % (8146)Termination reason: Unknown
% 0.20/0.45  % (8146)Termination phase: shuffling
% 0.20/0.45  
% 0.20/0.45  % (8146)Memory used [KB]: 2046
% 0.20/0.45  % (8146)Time elapsed: 0.023 s
% 0.20/0.45  % (8146)Instructions burned: 38 (million)
% 0.20/0.45  % (8146)------------------------------
% 0.20/0.45  % (8146)------------------------------
% 0.20/0.46  % (8151)Instruction limit reached!
% 0.20/0.46  % (8151)------------------------------
% 0.20/0.46  % (8151)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (8151)Termination reason: Unknown
% 0.20/0.46  % (8151)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (8151)Memory used [KB]: 1791
% 0.20/0.46  % (8151)Time elapsed: 0.012 s
% 0.20/0.46  % (8151)Instructions burned: 17 (million)
% 0.20/0.46  % (8151)------------------------------
% 0.20/0.46  % (8151)------------------------------
% 0.20/0.46  % (8153)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)
% 0.20/0.46  % (8153)Instruction limit reached!
% 0.20/0.46  % (8153)------------------------------
% 0.20/0.46  % (8153)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (8153)Termination reason: Unknown
% 0.20/0.46  % (8153)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (8153)Memory used [KB]: 1407
% 0.20/0.46  % (8153)Time elapsed: 0.004 s
% 0.20/0.46  % (8153)Instructions burned: 3 (million)
% 0.20/0.46  % (8153)------------------------------
% 0.20/0.46  % (8153)------------------------------
% 0.20/0.46  % (8154)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)
% 0.20/0.46  % (8154)Instruction limit reached!
% 0.20/0.46  % (8154)------------------------------
% 0.20/0.46  % (8154)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46  % (8154)Termination reason: Unknown
% 0.20/0.46  % (8154)Termination phase: shuffling
% 0.20/0.46  
% 0.20/0.46  % (8154)Memory used [KB]: 1535
% 0.20/0.46  % (8154)Time elapsed: 0.005 s
% 0.20/0.46  % (8154)Instructions burned: 7 (million)
% 0.20/0.46  % (8154)------------------------------
% 0.20/0.46  % (8154)------------------------------
% 0.20/0.47  % (8155)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)
% 0.20/0.47  % (8156)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.47  % (8155)Instruction limit reached!
% 0.20/0.47  % (8155)------------------------------
% 0.20/0.47  % (8155)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (8155)Termination reason: Unknown
% 0.20/0.47  % (8155)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (8155)Memory used [KB]: 1407
% 0.20/0.47  % (8155)Time elapsed: 0.004 s
% 0.20/0.47  % (8155)Instructions burned: 3 (million)
% 0.20/0.47  % (8155)------------------------------
% 0.20/0.47  % (8155)------------------------------
% 0.20/0.47  % (8156)Instruction limit reached!
% 0.20/0.47  % (8156)------------------------------
% 0.20/0.47  % (8156)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.47  % (8156)Termination reason: Unknown
% 0.20/0.47  % (8156)Termination phase: shuffling
% 0.20/0.47  
% 0.20/0.47  % (8156)Memory used [KB]: 1535
% 0.20/0.47  % (8156)Time elapsed: 0.004 s
% 0.20/0.47  % (8156)Instructions burned: 4 (million)
% 0.20/0.47  % (8156)------------------------------
% 0.20/0.47  % (8156)------------------------------
% 0.20/0.47  % (8157)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)
% 0.20/0.47  % (8158)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.48  % (8159)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.48  % (8159)Instruction limit reached!
% 0.20/0.48  % (8159)------------------------------
% 0.20/0.48  % (8159)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (8159)Termination reason: Unknown
% 0.20/0.48  % (8159)Termination phase: shuffling
% 0.20/0.48  
% 0.20/0.48  % (8159)Memory used [KB]: 1535
% 0.20/0.48  % (8159)Time elapsed: 0.006 s
% 0.20/0.48  % (8159)Instructions burned: 7 (million)
% 0.20/0.48  % (8159)------------------------------
% 0.20/0.48  % (8159)------------------------------
% 0.20/0.48  % (8157)Instruction limit reached!
% 0.20/0.48  % (8157)------------------------------
% 0.20/0.48  % (8157)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48  % (8157)Termination reason: Unknown
% 0.20/0.48  % (8157)Termination phase: shuffling
% 0.20/0.48  
% 0.20/0.48  % (8157)Memory used [KB]: 1791
% 0.20/0.48  % (8157)Time elapsed: 0.012 s
% 0.20/0.48  % (8157)Instructions burned: 18 (million)
% 0.20/0.48  % (8157)------------------------------
% 0.20/0.48  % (8157)------------------------------
% 0.20/0.49  % (8160)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 (2998ds/902Mi)
% 0.20/0.49  % (8161)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 (2998ds/21Mi)
% 0.20/0.50  % (8162)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.20/0.50  % (8161)Instruction limit reached!
% 0.20/0.50  % (8161)------------------------------
% 0.20/0.50  % (8161)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (8161)Termination reason: Unknown
% 0.20/0.50  % (8161)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (8161)Memory used [KB]: 1791
% 0.20/0.50  % (8163)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 (2998ds/6Mi)
% 0.20/0.50  % (8161)Time elapsed: 0.014 s
% 0.20/0.50  % (8161)Instructions burned: 21 (million)
% 0.20/0.50  % (8161)------------------------------
% 0.20/0.50  % (8161)------------------------------
% 0.20/0.50  % (8162)Instruction limit reached!
% 0.20/0.50  % (8162)------------------------------
% 0.20/0.50  % (8162)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (8162)Termination reason: Unknown
% 0.20/0.50  % (8162)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (8162)Memory used [KB]: 1535
% 0.20/0.50  % (8162)Time elapsed: 0.005 s
% 0.20/0.50  % (8162)Instructions burned: 5 (million)
% 0.20/0.50  % (8162)------------------------------
% 0.20/0.50  % (8162)------------------------------
% 0.20/0.50  % (8163)Instruction limit reached!
% 0.20/0.50  % (8163)------------------------------
% 0.20/0.50  % (8163)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.50  % (8163)Termination reason: Unknown
% 0.20/0.50  % (8163)Termination phase: shuffling
% 0.20/0.50  
% 0.20/0.50  % (8163)Memory used [KB]: 1535
% 0.20/0.50  % (8163)Time elapsed: 0.005 s
% 0.20/0.50  % (8163)Instructions burned: 6 (million)
% 0.20/0.50  % (8163)------------------------------
% 0.20/0.50  % (8163)------------------------------
% 0.20/0.51  % (8138)Instruction limit reached!
% 0.20/0.51  % (8138)------------------------------
% 0.20/0.51  % (8138)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.51  % (8138)Termination reason: Unknown
% 0.20/0.51  % (8138)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (8138)Memory used [KB]: 7419
% 0.20/0.51  % (8138)Time elapsed: 0.097 s
% 0.20/0.51  % (8138)Instructions burned: 184 (million)
% 0.20/0.51  % (8138)------------------------------
% 0.20/0.51  % (8138)------------------------------
% 0.20/0.51  % (8164)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.20/0.52  % (8165)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 (2998ds/779Mi)
% 0.20/0.52  % (8166)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.20/0.53  % (8167)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.20/0.53  % (8166)Instruction limit reached!
% 0.20/0.53  % (8166)------------------------------
% 0.20/0.53  % (8166)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.53  % (8166)Termination reason: Unknown
% 0.20/0.53  % (8166)Termination phase: shuffling
% 0.20/0.53  
% 0.20/0.53  % (8166)Memory used [KB]: 1663
% 0.20/0.53  % (8166)Time elapsed: 0.013 s
% 0.20/0.53  % (8166)Instructions burned: 19 (million)
% 0.20/0.53  % (8166)------------------------------
% 0.20/0.53  % (8166)------------------------------
% 0.20/0.55  % (8168)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.20/0.56  % (8168)Instruction limit reached!
% 0.20/0.56  % (8168)------------------------------
% 0.20/0.56  % (8168)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56  % (8168)Termination reason: Unknown
% 0.20/0.56  % (8168)Termination phase: shuffling
% 0.20/0.56  
% 0.20/0.56  % (8168)Memory used [KB]: 1663
% 0.20/0.56  % (8168)Time elapsed: 0.013 s
% 0.20/0.56  % (8168)Instructions burned: 18 (million)
% 0.20/0.56  % (8168)------------------------------
% 0.20/0.56  % (8168)------------------------------
% 0.20/0.56  % (8143)Instruction limit reached!
% 0.20/0.56  % (8143)------------------------------
% 0.20/0.56  % (8143)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.56  % (8143)Termination reason: Unknown
% 0.20/0.56  % (8143)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (8143)Memory used [KB]: 7803
% 0.20/0.56  % (8143)Time elapsed: 0.148 s
% 0.20/0.56  % (8143)Instructions burned: 276 (million)
% 0.20/0.56  % (8143)------------------------------
% 0.20/0.56  % (8143)------------------------------
% 0.20/0.57  % (8169)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 0.20/0.57  % (8169)Instruction limit reached!
% 0.20/0.57  % (8169)------------------------------
% 0.20/0.57  % (8169)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.57  % (8169)Termination reason: Unknown
% 0.20/0.57  % (8169)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (8169)Memory used [KB]: 1407
% 0.20/0.57  % (8169)Time elapsed: 0.004 s
% 0.20/0.57  % (8169)Instructions burned: 3 (million)
% 0.20/0.57  % (8169)------------------------------
% 0.20/0.57  % (8169)------------------------------
% 0.20/0.58  % (8170)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2997ds/30Mi)
% 0.20/0.59  % (8171)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 (2997ds/127Mi)
% 0.20/0.59  % (8170)Instruction limit reached!
% 0.20/0.59  % (8170)------------------------------
% 0.20/0.59  % (8170)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.59  % (8170)Termination reason: Unknown
% 0.20/0.59  % (8170)Termination phase: shuffling
% 0.20/0.59  
% 0.20/0.59  % (8170)Memory used [KB]: 1918
% 0.20/0.59  % (8170)Time elapsed: 0.018 s
% 0.20/0.59  % (8170)Instructions burned: 31 (million)
% 0.20/0.59  % (8170)------------------------------
% 0.20/0.59  % (8170)------------------------------
% 0.20/0.61  % (8172)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 (2997ds/100Mi)
% 2.02/0.66  % (8172)Instruction limit reached!
% 2.02/0.66  % (8172)------------------------------
% 2.02/0.66  % (8172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.66  % (8172)Termination reason: Unknown
% 2.02/0.66  % (8172)Termination phase: Property scanning
% 2.02/0.66  
% 2.02/0.66  % (8172)Memory used [KB]: 2430
% 2.02/0.66  % (8172)Time elapsed: 0.052 s
% 2.02/0.66  % (8172)Instructions burned: 100 (million)
% 2.02/0.66  % (8172)------------------------------
% 2.02/0.66  % (8172)------------------------------
% 2.02/0.67  % (8171)Instruction limit reached!
% 2.02/0.67  % (8171)------------------------------
% 2.02/0.67  % (8171)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.67  % (8171)Termination reason: Unknown
% 2.02/0.67  % (8171)Termination phase: Property scanning
% 2.02/0.67  
% 2.02/0.67  % (8171)Memory used [KB]: 2686
% 2.02/0.67  % (8171)Time elapsed: 0.078 s
% 2.02/0.67  % (8171)Instructions burned: 127 (million)
% 2.02/0.67  % (8171)------------------------------
% 2.02/0.67  % (8171)------------------------------
% 2.02/0.67  % (8173)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 (2996ds/3Mi)
% 2.02/0.68  % (8173)Instruction limit reached!
% 2.02/0.68  % (8173)------------------------------
% 2.02/0.68  % (8173)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.68  % (8173)Termination reason: Unknown
% 2.02/0.68  % (8173)Termination phase: shuffling
% 2.02/0.68  
% 2.02/0.68  % (8173)Memory used [KB]: 1407
% 2.02/0.68  % (8173)Time elapsed: 0.004 s
% 2.02/0.68  % (8173)Instructions burned: 4 (million)
% 2.02/0.68  % (8173)------------------------------
% 2.02/0.68  % (8173)------------------------------
% 2.02/0.68  % (8174)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 (2996ds/20Mi)
% 2.02/0.69  % (8175)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 (2996ds/86Mi)
% 2.02/0.70  % (8174)Instruction limit reached!
% 2.02/0.70  % (8174)------------------------------
% 2.02/0.70  % (8174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.02/0.70  % (8174)Termination reason: Unknown
% 2.02/0.70  % (8174)Termination phase: shuffling
% 2.02/0.70  
% 2.02/0.70  % (8174)Memory used [KB]: 1791
% 2.02/0.70  % (8174)Time elapsed: 0.014 s
% 2.02/0.70  % (8174)Instructions burned: 21 (million)
% 2.02/0.70  % (8174)------------------------------
% 2.02/0.70  % (8174)------------------------------
% 2.57/0.71  % (8176)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 (2996ds/107Mi)
% 2.57/0.74  % (8175)Instruction limit reached!
% 2.57/0.74  % (8175)------------------------------
% 2.57/0.74  % (8175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.57/0.74  % (8175)Termination reason: Unknown
% 2.57/0.74  % (8175)Termination phase: Preprocessing 3
% 2.57/0.74  
% 2.57/0.74  % (8175)Memory used [KB]: 2558
% 2.57/0.74  % (8175)Time elapsed: 0.048 s
% 2.57/0.74  % (8175)Instructions burned: 86 (million)
% 2.57/0.74  % (8175)------------------------------
% 2.57/0.74  % (8175)------------------------------
% 2.57/0.74  % (8164)Instruction limit reached!
% 2.57/0.74  % (8164)------------------------------
% 2.57/0.74  % (8164)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.57/0.74  % (8164)Termination reason: Unknown
% 2.57/0.74  % (8164)Termination phase: Saturation
% 2.57/0.74  
% 2.57/0.74  % (8164)Memory used [KB]: 8699
% 2.57/0.74  % (8164)Time elapsed: 0.229 s
% 2.57/0.74  % (8164)Instructions burned: 378 (million)
% 2.57/0.74  % (8164)------------------------------
% 2.57/0.74  % (8164)------------------------------
% 2.57/0.76  % (8177)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 (2996ds/39Mi)
% 2.57/0.76  % (8178)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 (2996ds/448Mi)
% 2.93/0.77  % (8177)Instruction limit reached!
% 2.93/0.77  % (8177)------------------------------
% 2.93/0.77  % (8177)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.77  % (8177)Termination reason: Unknown
% 2.93/0.77  % (8177)Termination phase: shuffling
% 2.93/0.77  
% 2.93/0.77  % (8177)Memory used [KB]: 2046
% 2.93/0.77  % (8177)Time elapsed: 0.021 s
% 2.93/0.77  % (8177)Instructions burned: 40 (million)
% 2.93/0.77  % (8177)------------------------------
% 2.93/0.77  % (8177)------------------------------
% 2.93/0.78  % (8176)Instruction limit reached!
% 2.93/0.78  % (8176)------------------------------
% 2.93/0.78  % (8176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.78  % (8176)Termination reason: Unknown
% 2.93/0.78  % (8176)Termination phase: Property scanning
% 2.93/0.78  
% 2.93/0.78  % (8176)Memory used [KB]: 2686
% 2.93/0.78  % (8176)Time elapsed: 0.067 s
% 2.93/0.78  % (8176)Instructions burned: 108 (million)
% 2.93/0.78  % (8176)------------------------------
% 2.93/0.78  % (8176)------------------------------
% 2.93/0.79  % (8179)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 (2995ds/46Mi)
% 2.93/0.80  % (8180)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 (2995ds/98Mi)
% 2.93/0.81  % (8179)Instruction limit reached!
% 2.93/0.81  % (8179)------------------------------
% 2.93/0.81  % (8179)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.81  % (8179)Termination reason: Unknown
% 2.93/0.81  % (8179)Termination phase: shuffling
% 2.93/0.81  
% 2.93/0.81  % (8179)Memory used [KB]: 2174
% 2.93/0.81  % (8179)Time elapsed: 0.026 s
% 2.93/0.81  % (8179)Instructions burned: 47 (million)
% 2.93/0.81  % (8179)------------------------------
% 2.93/0.81  % (8179)------------------------------
% 2.93/0.83  % (8181)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 (2995ds/507Mi)
% 2.93/0.85  % (8180)Instruction limit reached!
% 2.93/0.85  % (8180)------------------------------
% 2.93/0.85  % (8180)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.93/0.85  % (8180)Termination reason: Unknown
% 2.93/0.85  % (8180)Termination phase: Property scanning
% 2.93/0.85  
% 2.93/0.85  % (8180)Memory used [KB]: 2430
% 2.93/0.85  % (8180)Time elapsed: 0.056 s
% 2.93/0.85  % (8180)Instructions burned: 98 (million)
% 2.93/0.85  % (8180)------------------------------
% 2.93/0.85  % (8180)------------------------------
% 3.54/0.87  % (8182)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.78/0.91  % (8158)Instruction limit reached!
% 3.78/0.91  % (8158)------------------------------
% 3.78/0.91  % (8158)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.91  % (8158)Termination reason: Unknown
% 3.78/0.91  % (8158)Termination phase: Saturation
% 3.78/0.91  
% 3.78/0.91  % (8158)Memory used [KB]: 8827
% 3.78/0.91  % (8158)Time elapsed: 0.457 s
% 3.78/0.91  % (8158)Instructions burned: 710 (million)
% 3.78/0.91  % (8158)------------------------------
% 3.78/0.91  % (8158)------------------------------
% 3.78/0.92  % (8165)Instruction limit reached!
% 3.78/0.92  % (8165)------------------------------
% 3.78/0.92  % (8165)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.78/0.92  % (8165)Termination reason: Unknown
% 3.78/0.92  % (8165)Termination phase: Saturation
% 3.78/0.92  
% 3.78/0.92  % (8165)Memory used [KB]: 9083
% 3.78/0.92  % (8165)Time elapsed: 0.411 s
% 3.78/0.92  % (8165)Instructions burned: 779 (million)
% 3.78/0.92  % (8165)------------------------------
% 3.78/0.92  % (8165)------------------------------
% 4.01/0.93  % (8183)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2994ds/39Mi)
% 4.04/0.94  % (8184)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 4.04/0.94  % (8184)Instruction limit reached!
% 4.04/0.94  % (8184)------------------------------
% 4.04/0.94  % (8184)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/0.94  % (8184)Termination reason: Unknown
% 4.04/0.94  % (8184)Termination phase: shuffling
% 4.04/0.94  
% 4.04/0.94  % (8184)Memory used [KB]: 1535
% 4.04/0.94  % (8184)Time elapsed: 0.005 s
% 4.04/0.94  % (8184)Instructions burned: 6 (million)
% 4.04/0.94  % (8184)------------------------------
% 4.04/0.94  % (8184)------------------------------
% 4.04/0.95  % (8183)Instruction limit reached!
% 4.04/0.95  % (8183)------------------------------
% 4.04/0.95  % (8183)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/0.95  % (8183)Termination reason: Unknown
% 4.04/0.95  % (8183)Termination phase: shuffling
% 4.04/0.95  
% 4.04/0.95  % (8183)Memory used [KB]: 2046
% 4.04/0.95  % (8183)Time elapsed: 0.025 s
% 4.04/0.95  % (8183)Instructions burned: 39 (million)
% 4.04/0.95  % (8183)------------------------------
% 4.04/0.95  % (8183)------------------------------
% 4.04/0.95  % (8182)Instruction limit reached!
% 4.04/0.95  % (8182)------------------------------
% 4.04/0.95  % (8182)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/0.95  % (8182)Termination reason: Unknown
% 4.04/0.96  % (8182)Termination phase: Property scanning
% 4.04/0.96  
% 4.04/0.96  % (8182)Memory used [KB]: 2814
% 4.04/0.96  % (8182)Time elapsed: 0.090 s
% 4.04/0.96  % (8182)Instructions burned: 149 (million)
% 4.04/0.96  % (8182)------------------------------
% 4.04/0.96  % (8182)------------------------------
% 4.04/0.96  % (8185)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2994ds/1087Mi)
% 4.04/0.97  % (8186)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2994ds/47Mi)
% 4.04/0.97  % (8187)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2994ds/44Mi)
% 4.04/0.99  % (8160)Instruction limit reached!
% 4.04/0.99  % (8160)------------------------------
% 4.04/0.99  % (8160)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/0.99  % (8160)Termination reason: Unknown
% 4.04/0.99  % (8160)Termination phase: Saturation
% 4.04/0.99  
% 4.04/0.99  % (8160)Memory used [KB]: 8571
% 4.04/0.99  % (8160)Time elapsed: 0.509 s
% 4.04/0.99  % (8160)Instructions burned: 902 (million)
% 4.04/0.99  % (8160)------------------------------
% 4.04/0.99  % (8160)------------------------------
% 4.04/0.99  % (8187)Instruction limit reached!
% 4.04/0.99  % (8187)------------------------------
% 4.04/0.99  % (8187)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/1.00  % (8187)Termination reason: Unknown
% 4.04/1.00  % (8187)Termination phase: shuffling
% 4.04/1.00  
% 4.04/1.00  % (8187)Memory used [KB]: 2174
% 4.04/1.00  % (8187)Time elapsed: 0.026 s
% 4.04/1.00  % (8187)Instructions burned: 44 (million)
% 4.04/1.00  % (8187)------------------------------
% 4.04/1.00  % (8187)------------------------------
% 4.04/1.00  % (8186)Instruction limit reached!
% 4.04/1.00  % (8186)------------------------------
% 4.04/1.00  % (8186)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.04/1.00  % (8186)Termination reason: Unknown
% 4.04/1.00  % (8186)Termination phase: shuffling
% 4.04/1.00  
% 4.04/1.00  % (8186)Memory used [KB]: 2174
% 4.04/1.00  % (8186)Time elapsed: 0.029 s
% 4.04/1.00  % (8186)Instructions burned: 47 (million)
% 4.04/1.00  % (8186)------------------------------
% 4.04/1.00  % (8186)------------------------------
% 4.49/1.01  % (8188)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2993ds/432Mi)
% 4.49/1.01  % (8189)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2993ds/62Mi)
% 4.49/1.01  % (8167)Instruction limit reached!
% 4.49/1.01  % (8167)------------------------------
% 4.49/1.01  % (8167)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/1.01  % (8167)Termination reason: Unknown
% 4.49/1.01  % (8167)Termination phase: Saturation
% 4.49/1.01  
% 4.49/1.01  % (8167)Memory used [KB]: 9466
% 4.49/1.01  % (8167)Time elapsed: 0.487 s
% 4.49/1.01  % (8167)Instructions burned: 880 (million)
% 4.49/1.01  % (8167)------------------------------
% 4.49/1.01  % (8167)------------------------------
% 4.49/1.01  % (8190)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2993ds/31Mi)
% 4.49/1.03  % (8178)Instruction limit reached!
% 4.49/1.03  % (8178)------------------------------
% 4.49/1.03  % (8178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/1.03  % (8178)Termination reason: Unknown
% 4.49/1.03  % (8178)Termination phase: Saturation
% 4.49/1.03  
% 4.49/1.03  % (8178)Memory used [KB]: 8827
% 4.49/1.03  % (8178)Time elapsed: 0.269 s
% 4.49/1.03  % (8178)Instructions burned: 449 (million)
% 4.49/1.03  % (8178)------------------------------
% 4.49/1.03  % (8178)------------------------------
% 4.49/1.03  % (8191)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2993ds/96Mi)
% 4.49/1.03  % (8190)Instruction limit reached!
% 4.49/1.03  % (8190)------------------------------
% 4.49/1.03  % (8190)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/1.03  % (8190)Termination reason: Unknown
% 4.49/1.03  % (8190)Termination phase: shuffling
% 4.49/1.03  
% 4.49/1.03  % (8190)Memory used [KB]: 1918
% 4.49/1.03  % (8190)Time elapsed: 0.021 s
% 4.49/1.03  % (8190)Instructions burned: 32 (million)
% 4.49/1.03  % (8190)------------------------------
% 4.49/1.03  % (8190)------------------------------
% 4.49/1.04  % (8192)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2993ds/453Mi)
% 4.49/1.04  % (8189)Instruction limit reached!
% 4.49/1.04  % (8189)------------------------------
% 4.49/1.04  % (8189)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/1.04  % (8189)Termination reason: Unknown
% 4.49/1.04  % (8189)Termination phase: shuffling
% 4.49/1.04  
% 4.49/1.04  % (8189)Memory used [KB]: 2302
% 4.49/1.04  % (8189)Time elapsed: 0.035 s
% 4.49/1.04  % (8189)Instructions burned: 62 (million)
% 4.49/1.04  % (8189)------------------------------
% 4.49/1.04  % (8189)------------------------------
% 4.49/1.05  % (8193)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2993ds/71Mi)
% 4.49/1.05  % (8149)Instruction limit reached!
% 4.49/1.05  % (8149)------------------------------
% 4.49/1.05  % (8149)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.49/1.05  % (8149)Termination reason: Unknown
% 4.49/1.05  % (8149)Termination phase: Saturation
% 4.49/1.05  
% 4.49/1.05  % (8149)Memory used [KB]: 10362
% 4.49/1.05  % (8149)Time elapsed: 0.621 s
% 4.49/1.05  % (8149)Instructions burned: 1041 (million)
% 4.49/1.05  % (8149)------------------------------
% 4.49/1.05  % (8149)------------------------------
% 4.49/1.06  % (8194)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2993ds/83Mi)
% 4.93/1.07  % (8195)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2993ds/11Mi)
% 4.93/1.08  % (8195)Instruction limit reached!
% 4.93/1.08  % (8195)------------------------------
% 4.93/1.08  % (8195)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.08  % (8195)Termination reason: Unknown
% 4.93/1.08  % (8195)Termination phase: shuffling
% 4.93/1.08  
% 4.93/1.08  % (8195)Memory used [KB]: 1663
% 4.93/1.08  % (8195)Time elapsed: 0.009 s
% 4.93/1.08  % (8195)Instructions burned: 12 (million)
% 4.93/1.08  % (8195)------------------------------
% 4.93/1.08  % (8195)------------------------------
% 4.93/1.08  % (8191)Instruction limit reached!
% 4.93/1.08  % (8191)------------------------------
% 4.93/1.08  % (8191)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.08  % (8191)Termination reason: Unknown
% 4.93/1.08  % (8191)Termination phase: Preprocessing 3
% 4.93/1.08  
% 4.93/1.08  % (8191)Memory used [KB]: 2686
% 4.93/1.08  % (8191)Time elapsed: 0.052 s
% 4.93/1.08  % (8191)Instructions burned: 97 (million)
% 4.93/1.08  % (8191)------------------------------
% 4.93/1.08  % (8191)------------------------------
% 4.93/1.09  % (8193)Instruction limit reached!
% 4.93/1.09  % (8193)------------------------------
% 4.93/1.09  % (8193)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.09  % (8193)Termination reason: Unknown
% 4.93/1.09  % (8193)Termination phase: Property scanning
% 4.93/1.09  
% 4.93/1.09  % (8193)Memory used [KB]: 2302
% 4.93/1.09  % (8193)Time elapsed: 0.044 s
% 4.93/1.09  % (8193)Instructions burned: 72 (million)
% 4.93/1.09  % (8193)------------------------------
% 4.93/1.09  % (8193)------------------------------
% 4.93/1.09  % (8197)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2992ds/6Mi)
% 4.93/1.09  % (8196)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2992ds/41Mi)
% 4.93/1.10  % (8197)Instruction limit reached!
% 4.93/1.10  % (8197)------------------------------
% 4.93/1.10  % (8197)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.10  % (8197)Termination reason: Unknown
% 4.93/1.10  % (8197)Termination phase: shuffling
% 4.93/1.10  
% 4.93/1.10  % (8197)Memory used [KB]: 1535
% 4.93/1.10  % (8197)Time elapsed: 0.006 s
% 4.93/1.10  % (8197)Instructions burned: 7 (million)
% 4.93/1.10  % (8197)------------------------------
% 4.93/1.10  % (8197)------------------------------
% 4.93/1.11  % (8194)Instruction limit reached!
% 4.93/1.11  % (8194)------------------------------
% 4.93/1.11  % (8194)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.11  % (8194)Termination reason: Unknown
% 4.93/1.11  % (8194)Termination phase: SInE selection
% 4.93/1.11  
% 4.93/1.11  % (8194)Memory used [KB]: 2302
% 4.93/1.11  % (8194)Time elapsed: 0.048 s
% 4.93/1.11  % (8194)Instructions burned: 83 (million)
% 4.93/1.11  % (8194)------------------------------
% 4.93/1.11  % (8194)------------------------------
% 4.93/1.11  % (8198)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2992ds/150Mi)
% 4.93/1.11  % (8181)Instruction limit reached!
% 4.93/1.11  % (8181)------------------------------
% 4.93/1.11  % (8181)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.11  % (8181)Termination reason: Unknown
% 4.93/1.11  % (8181)Termination phase: Saturation
% 4.93/1.11  
% 4.93/1.11  % (8181)Memory used [KB]: 8443
% 4.93/1.11  % (8181)Time elapsed: 0.282 s
% 4.93/1.11  % (8181)Instructions burned: 508 (million)
% 4.93/1.11  % (8181)------------------------------
% 4.93/1.11  % (8181)------------------------------
% 4.93/1.11  % (8199)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2992ds/343Mi)
% 4.93/1.12  % (8196)Instruction limit reached!
% 4.93/1.12  % (8196)------------------------------
% 4.93/1.12  % (8196)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.93/1.12  % (8196)Termination reason: Unknown
% 4.93/1.12  % (8196)Termination phase: shuffling
% 4.93/1.12  
% 4.93/1.12  % (8196)Memory used [KB]: 2174
% 4.93/1.12  % (8196)Time elapsed: 0.024 s
% 4.93/1.12  % (8196)Instructions burned: 41 (million)
% 4.93/1.12  % (8196)------------------------------
% 4.93/1.12  % (8196)------------------------------
% 4.93/1.12  % (8200)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2992ds/109Mi)
% 4.93/1.13  % (8201)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2992ds/253Mi)
% 4.93/1.13  % (8202)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2992ds/140Mi)
% 6.23/1.19  % (8200)Instruction limit reached!
% 6.23/1.19  % (8200)------------------------------
% 6.23/1.19  % (8200)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.23/1.19  % (8200)Termination reason: Unknown
% 6.23/1.19  % (8200)Termination phase: Preprocessing 3
% 6.23/1.19  
% 6.23/1.19  % (8200)Memory used [KB]: 2686
% 6.23/1.19  % (8200)Time elapsed: 0.065 s
% 6.23/1.19  % (8200)Instructions burned: 110 (million)
% 6.23/1.19  % (8200)------------------------------
% 6.23/1.19  % (8200)------------------------------
% 6.53/1.20  % (8203)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on theBenchmark for (2991ds/614Mi)
% 6.53/1.21  % (8198)Instruction limit reached!
% 6.53/1.21  % (8198)------------------------------
% 6.53/1.21  % (8198)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.53/1.21  % (8198)Termination reason: Unknown
% 6.53/1.21  % (8198)Termination phase: Property scanning
% 6.53/1.21  
% 6.53/1.21  % (8198)Memory used [KB]: 2686
% 6.53/1.21  % (8198)Time elapsed: 0.093 s
% 6.53/1.21  % (8198)Instructions burned: 151 (million)
% 6.53/1.22  % (8198)------------------------------
% 6.53/1.22  % (8198)------------------------------
% 6.53/1.22  % (8202)Instruction limit reached!
% 6.53/1.22  % (8202)------------------------------
% 6.53/1.22  % (8202)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.53/1.22  % (8202)Termination reason: Unknown
% 6.53/1.22  % (8202)Termination phase: Saturation
% 6.53/1.22  
% 6.53/1.22  % (8202)Memory used [KB]: 7419
% 6.53/1.22  % (8202)Time elapsed: 0.086 s
% 6.53/1.22  % (8202)Instructions burned: 140 (million)
% 6.53/1.22  % (8202)------------------------------
% 6.53/1.22  % (8202)------------------------------
% 6.53/1.23  % (8204)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on theBenchmark for (2991ds/202Mi)
% 6.53/1.23  % (8205)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on theBenchmark for (2991ds/339Mi)
% 6.76/1.27  % (8188)Instruction limit reached!
% 6.76/1.27  % (8188)------------------------------
% 6.76/1.27  % (8188)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.76/1.27  % (8188)Termination reason: Unknown
% 6.76/1.27  % (8188)Termination phase: Saturation
% 6.76/1.27  
% 6.76/1.27  % (8188)Memory used [KB]: 4861
% 6.76/1.27  % (8188)Time elapsed: 0.260 s
% 6.76/1.27  % (8188)Instructions burned: 432 (million)
% 6.76/1.27  % (8188)------------------------------
% 6.76/1.27  % (8188)------------------------------
% 6.76/1.28  % (8201)Instruction limit reached!
% 6.76/1.28  % (8201)------------------------------
% 6.76/1.28  % (8201)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.76/1.28  % (8201)Termination reason: Unknown
% 6.76/1.28  % (8201)Termination phase: Saturation
% 6.76/1.28  
% 6.76/1.28  % (8201)Memory used [KB]: 8059
% 6.76/1.28  % (8201)Time elapsed: 0.152 s
% 6.76/1.28  % (8201)Instructions burned: 254 (million)
% 6.76/1.28  % (8201)------------------------------
% 6.76/1.28  % (8201)------------------------------
% 6.76/1.29  % (8206)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=283:si=on:rtra=on_0 on theBenchmark for (2990ds/283Mi)
% 6.76/1.29  % (8192)Instruction limit reached!
% 6.76/1.29  % (8192)------------------------------
% 6.76/1.29  % (8192)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.76/1.29  % (8192)Termination reason: Unknown
% 6.76/1.29  % (8192)Termination phase: Saturation
% 6.76/1.29  
% 6.76/1.29  % (8192)Memory used [KB]: 8699
% 6.76/1.29  % (8192)Time elapsed: 0.253 s
% 6.76/1.29  % (8192)Instructions burned: 453 (million)
% 6.76/1.29  % (8192)------------------------------
% 6.76/1.29  % (8192)------------------------------
% 6.76/1.30  % (8207)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on theBenchmark for (2990ds/134Mi)
% 6.76/1.30  % (8199)Instruction limit reached!
% 6.76/1.30  % (8199)------------------------------
% 6.76/1.30  % (8199)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 6.76/1.30  % (8199)Termination reason: Unknown
% 6.76/1.30  % (8199)Termination phase: Saturation
% 6.76/1.30  
% 6.76/1.30  % (8199)Memory used [KB]: 8059
% 6.76/1.30  % (8199)Time elapsed: 0.209 s
% 6.76/1.30  % (8199)Instructions burned: 343 (million)
% 6.76/1.30  % (8199)------------------------------
% 6.76/1.30  % (8199)------------------------------
% 6.76/1.31  % (8208)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on theBenchmark for (2990ds/298Mi)
% 6.76/1.31  % (8209)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on theBenchmark for (2990ds/192Mi)
% 7.08/1.35  % (8204)Instruction limit reached!
% 7.08/1.35  % (8204)------------------------------
% 7.08/1.35  % (8204)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.08/1.35  % (8204)Termination reason: Unknown
% 7.08/1.35  % (8204)Termination phase: Saturation
% 7.08/1.35  
% 7.08/1.35  % (8204)Memory used [KB]: 7803
% 7.08/1.35  % (8204)Time elapsed: 0.120 s
% 7.08/1.35  % (8204)Instructions burned: 202 (million)
% 7.08/1.35  % (8204)------------------------------
% 7.08/1.35  % (8204)------------------------------
% 7.08/1.37  % (8210)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on theBenchmark for (2990ds/258Mi)
% 7.08/1.37  % (8207)Instruction limit reached!
% 7.08/1.37  % (8207)------------------------------
% 7.08/1.37  % (8207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.08/1.37  % (8207)Termination reason: Unknown
% 7.08/1.37  % (8207)Termination phase: Function definition elimination
% 7.08/1.37  
% 7.08/1.37  % (8207)Memory used [KB]: 2814
% 7.08/1.37  % (8207)Time elapsed: 0.080 s
% 7.08/1.37  % (8207)Instructions burned: 134 (million)
% 7.08/1.37  % (8207)------------------------------
% 7.08/1.37  % (8207)------------------------------
% 7.34/1.39  % (8211)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 7.34/1.41  % (8209)Instruction limit reached!
% 7.34/1.41  % (8209)------------------------------
% 7.34/1.41  % (8209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.34/1.41  % (8209)Termination reason: Unknown
% 7.34/1.41  % (8209)Termination phase: Saturation
% 7.34/1.41  
% 7.34/1.41  % (8209)Memory used [KB]: 3326
% 7.34/1.41  % (8209)Time elapsed: 0.103 s
% 7.34/1.41  % (8209)Instructions burned: 193 (million)
% 7.34/1.41  % (8209)------------------------------
% 7.34/1.41  % (8209)------------------------------
% 7.34/1.43  % (8212)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on theBenchmark for (2989ds/231Mi)
% 7.34/1.43  % (8205)Instruction limit reached!
% 7.34/1.43  % (8205)------------------------------
% 7.34/1.43  % (8205)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.34/1.43  % (8205)Termination reason: Unknown
% 7.34/1.43  % (8205)Termination phase: Saturation
% 7.34/1.43  
% 7.34/1.43  % (8205)Memory used [KB]: 7803
% 7.34/1.43  % (8205)Time elapsed: 0.199 s
% 7.34/1.43  % (8205)Instructions burned: 340 (million)
% 7.34/1.43  % (8205)------------------------------
% 7.34/1.43  % (8205)------------------------------
% 7.73/1.44  % (8211)Instruction limit reached!
% 7.73/1.44  % (8211)------------------------------
% 7.73/1.44  % (8211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.73/1.44  % (8211)Termination reason: Unknown
% 7.73/1.44  % (8211)Termination phase: Preprocessing 3
% 7.73/1.44  
% 7.73/1.44  % (8211)Memory used [KB]: 2558
% 7.73/1.44  % (8211)Time elapsed: 0.056 s
% 7.73/1.44  % (8211)Instructions burned: 91 (million)
% 7.73/1.44  % (8211)------------------------------
% 7.73/1.44  % (8211)------------------------------
% 7.73/1.45  % (8206)Instruction limit reached!
% 7.73/1.45  % (8206)------------------------------
% 7.73/1.45  % (8206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.73/1.45  % (8213)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on theBenchmark for (2989ds/458Mi)
% 7.73/1.45  % (8206)Termination reason: Unknown
% 7.73/1.45  % (8206)Termination phase: Saturation
% 7.73/1.45  
% 7.73/1.45  % (8206)Memory used [KB]: 7931
% 7.73/1.45  % (8206)Time elapsed: 0.165 s
% 7.73/1.45  % (8206)Instructions burned: 283 (million)
% 7.73/1.45  % (8206)------------------------------
% 7.73/1.45  % (8206)------------------------------
% 7.81/1.46  % (8214)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2989ds/31Mi)
% 7.81/1.47  % (8215)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on theBenchmark for (2989ds/297Mi)
% 7.81/1.48  % (8214)Instruction limit reached!
% 7.81/1.48  % (8214)------------------------------
% 7.81/1.48  % (8214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.81/1.48  % (8214)Termination reason: Unknown
% 7.81/1.48  % (8214)Termination phase: shuffling
% 7.81/1.48  
% 7.81/1.48  % (8214)Memory used [KB]: 1918
% 7.81/1.48  % (8214)Time elapsed: 0.020 s
% 7.81/1.48  % (8214)Instructions burned: 31 (million)
% 7.81/1.48  % (8214)------------------------------
% 7.81/1.48  % (8214)------------------------------
% 7.81/1.48  % (8208)Instruction limit reached!
% 7.81/1.48  % (8208)------------------------------
% 7.81/1.48  % (8208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 7.81/1.48  % (8208)Termination reason: Unknown
% 7.81/1.48  % (8208)Termination phase: Saturation
% 7.81/1.48  
% 7.81/1.48  % (8208)Memory used [KB]: 8443
% 7.81/1.48  % (8208)Time elapsed: 0.170 s
% 7.81/1.48  % (8208)Instructions burned: 298 (million)
% 7.81/1.48  % (8208)------------------------------
% 7.81/1.48  % (8208)------------------------------
% 7.81/1.50  % (8216)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on theBenchmark for (2988ds/987Mi)
% 7.81/1.50  % (8217)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on theBenchmark for (2988ds/182Mi)
% 8.26/1.52  % (8210)Instruction limit reached!
% 8.26/1.52  % (8210)------------------------------
% 8.26/1.52  % (8210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.26/1.52  % (8210)Termination reason: Unknown
% 8.26/1.52  % (8210)Termination phase: Saturation
% 8.26/1.52  
% 8.26/1.52  % (8210)Memory used [KB]: 8187
% 8.26/1.52  % (8210)Time elapsed: 0.157 s
% 8.26/1.52  % (8210)Instructions burned: 258 (million)
% 8.26/1.52  % (8210)------------------------------
% 8.26/1.52  % (8210)------------------------------
% 8.26/1.54  % (8218)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on theBenchmark for (2988ds/182Mi)
% 8.26/1.54  % (8212)Instruction limit reached!
% 8.26/1.54  % (8212)------------------------------
% 8.26/1.54  % (8212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.26/1.54  % (8212)Termination reason: Unknown
% 8.26/1.54  % (8212)Termination phase: Property scanning
% 8.26/1.54  % (8203)Instruction limit reached!
% 8.26/1.54  % (8203)------------------------------
% 8.26/1.54  % (8203)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.26/1.54  
% 8.26/1.54  % (8212)Memory used [KB]: 2942
% 8.26/1.54  % (8212)Time elapsed: 0.116 s
% 8.26/1.54  % (8212)Instructions burned: 232 (million)
% 8.26/1.54  % (8212)------------------------------
% 8.26/1.54  % (8212)------------------------------
% 8.26/1.54  % (8203)Termination reason: Unknown
% 8.26/1.54  % (8203)Termination phase: Saturation
% 8.26/1.54  
% 8.26/1.54  % (8203)Memory used [KB]: 9083
% 8.26/1.54  % (8203)Time elapsed: 0.343 s
% 8.26/1.54  % (8203)Instructions burned: 615 (million)
% 8.26/1.54  % (8203)------------------------------
% 8.26/1.54  % (8203)------------------------------
% 8.96/1.55  % (8185)Instruction limit reached!
% 8.96/1.55  % (8185)------------------------------
% 8.96/1.55  % (8185)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.96/1.55  % (8185)Termination reason: Unknown
% 8.96/1.55  % (8185)Termination phase: Saturation
% 8.96/1.55  
% 8.96/1.55  % (8185)Memory used [KB]: 8315
% 8.96/1.55  % (8185)Time elapsed: 0.591 s
% 8.96/1.55  % (8185)Instructions burned: 1088 (million)
% 8.96/1.55  % (8185)------------------------------
% 8.96/1.55  % (8185)------------------------------
% 8.96/1.56  % (8219)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on theBenchmark for (2988ds/154Mi)
% 8.96/1.56  % (8220)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on theBenchmark for (2988ds/79Mi)
% 8.96/1.57  % (8221)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on theBenchmark for (2988ds/216Mi)
% 8.96/1.60  % (8217)Instruction limit reached!
% 8.96/1.60  % (8217)------------------------------
% 8.96/1.60  % (8217)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.96/1.60  % (8217)Termination reason: Unknown
% 8.96/1.60  % (8217)Termination phase: Saturation
% 8.96/1.60  
% 8.96/1.60  % (8217)Memory used [KB]: 7419
% 8.96/1.60  % (8217)Time elapsed: 0.108 s
% 8.96/1.60  % (8217)Instructions burned: 182 (million)
% 8.96/1.60  % (8217)------------------------------
% 8.96/1.60  % (8217)------------------------------
% 8.96/1.60  % (8220)Instruction limit reached!
% 8.96/1.60  % (8220)------------------------------
% 8.96/1.60  % (8220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.96/1.60  % (8220)Termination reason: Unknown
% 8.96/1.60  % (8220)Termination phase: Preprocessing 1
% 8.96/1.60  
% 8.96/1.60  % (8220)Memory used [KB]: 2302
% 8.96/1.60  % (8220)Time elapsed: 0.045 s
% 8.96/1.60  % (8220)Instructions burned: 80 (million)
% 8.96/1.60  % (8220)------------------------------
% 8.96/1.60  % (8220)------------------------------
% 8.96/1.62  % (8223)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on theBenchmark for (2987ds/922Mi)
% 8.96/1.62  % (8222)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on theBenchmark for (2987ds/114Mi)
% 8.96/1.63  % (8215)Instruction limit reached!
% 8.96/1.63  % (8215)------------------------------
% 8.96/1.63  % (8215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.96/1.63  % (8215)Termination reason: Unknown
% 8.96/1.63  % (8215)Termination phase: Saturation
% 8.96/1.63  
% 8.96/1.63  % (8215)Memory used [KB]: 7675
% 8.96/1.63  % (8215)Time elapsed: 0.168 s
% 8.96/1.63  % (8215)Instructions burned: 297 (million)
% 8.96/1.63  % (8215)------------------------------
% 8.96/1.63  % (8215)------------------------------
% 8.96/1.63  % (8219)Instruction limit reached!
% 8.96/1.63  % (8219)------------------------------
% 8.96/1.63  % (8219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 8.96/1.63  % (8219)Termination reason: Unknown
% 8.96/1.63  % (8219)Termination phase: Property scanning
% 8.96/1.63  
% 8.96/1.63  % (8219)Memory used [KB]: 2942
% 8.96/1.63  % (8219)Time elapsed: 0.077 s
% 8.96/1.63  % (8219)Instructions burned: 154 (million)
% 8.96/1.63  % (8219)------------------------------
% 8.96/1.63  % (8219)------------------------------
% 9.43/1.65  % (8218)Instruction limit reached!
% 9.43/1.65  % (8218)------------------------------
% 9.43/1.65  % (8218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.43/1.65  % (8218)Termination reason: Unknown
% 9.43/1.65  % (8218)Termination phase: Saturation
% 9.43/1.65  
% 9.43/1.65  % (8218)Memory used [KB]: 7291
% 9.43/1.65  % (8218)Time elapsed: 0.110 s
% 9.43/1.65  % (8218)Instructions burned: 182 (million)
% 9.43/1.65  % (8218)------------------------------
% 9.43/1.65  % (8218)------------------------------
% 9.43/1.65  % (8224)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on theBenchmark for (2987ds/182Mi)
% 9.43/1.65  % (8225)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on theBenchmark for (2987ds/164Mi)
% 9.43/1.66  % (8226)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on theBenchmark for (2987ds/50Mi)
% 9.43/1.68  % (8222)Instruction limit reached!
% 9.43/1.68  % (8222)------------------------------
% 9.43/1.68  % (8222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.43/1.68  % (8222)Termination reason: Unknown
% 9.43/1.68  % (8222)Termination phase: Property scanning
% 9.43/1.68  
% 9.43/1.68  % (8222)Memory used [KB]: 2686
% 9.43/1.68  % (8222)Time elapsed: 0.067 s
% 9.43/1.68  % (8222)Instructions burned: 114 (million)
% 9.43/1.68  % (8222)------------------------------
% 9.43/1.68  % (8222)------------------------------
% 9.64/1.69  % (8221)Instruction limit reached!
% 9.64/1.69  % (8221)------------------------------
% 9.64/1.69  % (8221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.69  % (8221)Termination reason: Unknown
% 9.64/1.69  % (8221)Termination phase: Saturation
% 9.64/1.69  
% 9.64/1.69  % (8221)Memory used [KB]: 7291
% 9.64/1.69  % (8221)Time elapsed: 0.127 s
% 9.64/1.69  % (8221)Instructions burned: 216 (million)
% 9.64/1.69  % (8226)Instruction limit reached!
% 9.64/1.69  % (8226)------------------------------
% 9.64/1.69  % (8226)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.69  % (8221)------------------------------
% 9.64/1.69  % (8221)------------------------------
% 9.64/1.69  % (8226)Termination reason: Unknown
% 9.64/1.69  % (8226)Termination phase: shuffling
% 9.64/1.69  
% 9.64/1.69  % (8226)Memory used [KB]: 2174
% 9.64/1.69  % (8226)Time elapsed: 0.030 s
% 9.64/1.69  % (8226)Instructions burned: 51 (million)
% 9.64/1.69  % (8226)------------------------------
% 9.64/1.69  % (8226)------------------------------
% 9.64/1.70  % (8227)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on theBenchmark for (2986ds/368Mi)
% 9.64/1.71  % (8228)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on theBenchmark for (2986ds/1021Mi)
% 9.64/1.71  % (8229)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on theBenchmark for (2986ds/267Mi)
% 9.64/1.72  % (8213)Instruction limit reached!
% 9.64/1.72  % (8213)------------------------------
% 9.64/1.72  % (8213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.73  % (8213)Termination reason: Unknown
% 9.64/1.73  % (8213)Termination phase: Saturation
% 9.64/1.73  
% 9.64/1.73  % (8213)Memory used [KB]: 8827
% 9.64/1.73  % (8213)Time elapsed: 0.278 s
% 9.64/1.73  % (8213)Instructions burned: 459 (million)
% 9.64/1.73  % (8213)------------------------------
% 9.64/1.73  % (8213)------------------------------
% 9.64/1.73  % (8225)Instruction limit reached!
% 9.64/1.73  % (8225)------------------------------
% 9.64/1.73  % (8225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.73  % (8225)Termination reason: Unknown
% 9.64/1.73  % (8225)Termination phase: Property scanning
% 9.64/1.73  
% 9.64/1.73  % (8225)Memory used [KB]: 2686
% 9.64/1.73  % (8225)Time elapsed: 0.085 s
% 9.64/1.73  % (8225)Instructions burned: 165 (million)
% 9.64/1.73  % (8225)------------------------------
% 9.64/1.73  % (8225)------------------------------
% 9.64/1.74  % (8230)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on theBenchmark for (2986ds/204Mi)
% 9.64/1.75  % (8231)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on theBenchmark for (2986ds/26Mi)
% 9.64/1.75  % (8224)Instruction limit reached!
% 9.64/1.75  % (8224)------------------------------
% 9.64/1.75  % (8224)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.75  % (8224)Termination reason: Unknown
% 9.64/1.75  % (8224)Termination phase: Property scanning
% 9.64/1.75  
% 9.64/1.75  % (8224)Memory used [KB]: 2942
% 9.64/1.75  % (8224)Time elapsed: 0.104 s
% 9.64/1.75  % (8224)Instructions burned: 182 (million)
% 9.64/1.75  % (8224)------------------------------
% 9.64/1.75  % (8224)------------------------------
% 9.64/1.76  % (8231)Instruction limit reached!
% 9.64/1.76  % (8231)------------------------------
% 9.64/1.76  % (8231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 9.64/1.76  % (8231)Termination reason: Unknown
% 9.64/1.76  % (8231)Termination phase: shuffling
% 9.64/1.76  
% 9.64/1.76  % (8231)Memory used [KB]: 1918
% 9.64/1.76  % (8231)Time elapsed: 0.016 s
% 9.64/1.76  % (8231)Instructions burned: 27 (million)
% 9.64/1.76  % (8231)------------------------------
% 9.64/1.76  % (8231)------------------------------
% 10.98/1.77  % (8232)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on theBenchmark for (2986ds/53Mi)
% 11.04/1.78  % (8233)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on theBenchmark for (2986ds/4436Mi)
% 11.04/1.80  % (8232)Instruction limit reached!
% 11.04/1.80  % (8232)------------------------------
% 11.04/1.80  % (8232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.04/1.80  % (8232)Termination reason: Unknown
% 11.04/1.80  % (8232)Termination phase: shuffling
% 11.04/1.80  
% 11.04/1.80  % (8232)Memory used [KB]: 2302
% 11.04/1.80  % (8232)Time elapsed: 0.031 s
% 11.04/1.80  % (8232)Instructions burned: 53 (million)
% 11.04/1.80  % (8232)------------------------------
% 11.04/1.80  % (8232)------------------------------
% 11.04/1.81  % (8234)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on theBenchmark for (2985ds/1539Mi)
% 11.55/1.86  % (8230)Instruction limit reached!
% 11.55/1.86  % (8230)------------------------------
% 11.55/1.86  % (8230)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.55/1.86  % (8230)Termination reason: Unknown
% 11.55/1.86  % (8230)Termination phase: Saturation
% 11.55/1.86  
% 11.55/1.86  % (8230)Memory used [KB]: 7419
% 11.55/1.86  % (8230)Time elapsed: 0.124 s
% 11.55/1.86  % (8230)Instructions burned: 204 (million)
% 11.55/1.86  % (8230)------------------------------
% 11.55/1.86  % (8230)------------------------------
% 11.55/1.88  % (8229)Instruction limit reached!
% 11.55/1.88  % (8229)------------------------------
% 11.55/1.88  % (8229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.55/1.88  % (8229)Termination reason: Unknown
% 11.55/1.88  % (8229)Termination phase: Saturation
% 11.55/1.88  
% 11.55/1.88  % (8229)Memory used [KB]: 7803
% 11.55/1.88  % (8229)Time elapsed: 0.188 s
% 11.55/1.88  % (8229)Instructions burned: 267 (million)
% 11.55/1.88  % (8229)------------------------------
% 11.55/1.88  % (8229)------------------------------
% 11.55/1.88  % (8235)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on theBenchmark for (2985ds/408Mi)
% 11.55/1.90  % (8236)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on theBenchmark for (2984ds/5205Mi)
% 11.55/1.90  % (8227)Instruction limit reached!
% 11.55/1.90  % (8227)------------------------------
% 11.55/1.90  % (8227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 11.55/1.90  % (8227)Termination reason: Unknown
% 11.55/1.90  % (8227)Termination phase: Saturation
% 11.55/1.90  
% 11.55/1.90  % (8227)Memory used [KB]: 8827
% 11.55/1.90  % (8227)Time elapsed: 0.205 s
% 11.55/1.90  % (8227)Instructions burned: 369 (million)
% 11.55/1.90  % (8227)------------------------------
% 11.55/1.90  % (8227)------------------------------
% 11.55/1.92  % (8237)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on theBenchmark for (2984ds/1913Mi)
% 12.01/1.98  % (8234)First to succeed.
% 12.01/1.98  % (8234)Refutation found. Thanks to Tanya!
% 12.01/1.98  % SZS status Theorem for theBenchmark
% 12.01/1.98  % SZS output start Proof for theBenchmark
% 12.01/1.98  thf(type_def_5, type, carrier_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(type_def_6, type, set: ($tType) > $tType).
% 12.01/1.98  thf(type_def_8, type, ring_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(type_def_9, type, aGroup_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(type_def_10, type, nat: $tType).
% 12.01/1.98  thf(type_def_11, type, module_ext: ($tType * $tType * $tType) > $tType).
% 12.01/1.98  thf(type_def_12, type, product_unit: $tType).
% 12.01/1.98  thf(type_def_13, type, c: $tType).
% 12.01/1.98  thf(type_def_14, type, d: $tType).
% 12.01/1.98  thf(type_def_15, type, a: $tType).
% 12.01/1.98  thf(type_def_16, type, e: $tType).
% 12.01/1.98  thf(type_def_17, type, b: $tType).
% 12.01/1.98  thf(func_def_0, type, carrier_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(func_def_1, type, module_ext: ($tType * $tType * $tType) > $tType).
% 12.01/1.98  thf(func_def_2, type, aGroup_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(func_def_3, type, ring_ext: ($tType * $tType) > $tType).
% 12.01/1.98  thf(func_def_4, type, product_unit: $tType).
% 12.01/1.98  thf(func_def_5, type, set: ($tType) > $tType).
% 12.01/1.98  thf(func_def_6, type, nat: $tType).
% 12.01/1.98  thf(func_def_7, type, e: $tType).
% 12.01/1.98  thf(func_def_8, type, d: $tType).
% 12.01/1.98  thf(func_def_9, type, c: $tType).
% 12.01/1.98  thf(func_def_10, type, b: $tType).
% 12.01/1.98  thf(func_def_11, type, a: $tType).
% 12.01/1.98  thf(func_def_12, type, type: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_13, type, plus: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_14, type, ord: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_15, type, group_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_16, type, semigroup_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_17, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_18, type, ab_semigroup_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_19, type, cancel_semigroup_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_20, type, ordere779506340up_add: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_21, type, ordere236663937imp_le: !>[X0: $tType]:($o)).
% 12.01/1.98  thf(func_def_22, type, carrier: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ X1 > set @ X0)).
% 12.01/1.98  thf(func_def_23, type, j_rad: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0)).
% 12.01/1.98  thf(func_def_24, type, ring: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 12.01/1.98  thf(func_def_25, type, tp: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > X0 > X0)).
% 12.01/1.98  thf(func_def_26, type, un: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0)).
% 12.01/1.98  thf(func_def_27, type, sr: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1)).
% 12.01/1.98  thf(func_def_28, type, subring: !>[X0: $tType, X1: $tType, X2: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > $o)).
% 12.01/1.98  thf(func_def_29, type, unit: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > $o)).
% 12.01/1.98  thf(func_def_30, type, aGroup: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > $o)).
% 12.01/1.98  thf(func_def_31, type, mop: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > X0 > X0)).
% 12.01/1.98  thf(func_def_32, type, pop: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > X0 > X0 > X0)).
% 12.01/1.98  thf(func_def_33, type, aset_sum: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ X1 > set @ X0 > set @ X0 > set @ X0)).
% 12.01/1.98  thf(func_def_34, type, carr_dsumag: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > set @ (X0 > X1))).
% 12.01/1.98  thf(func_def_35, type, carr_prodag: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > set @ (X0 > X1))).
% 12.01/1.98  thf(func_def_36, type, local_ring: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 12.01/1.98  thf(func_def_37, type, maximal_ideal: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 12.01/1.98  thf(func_def_38, type, mul_closed_set: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 12.01/1.98  thf(func_def_39, type, nscal: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > X0 > nat > X0)).
% 12.01/1.98  thf(func_def_40, type, primary_ideal: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 12.01/1.98  thf(func_def_41, type, prod_mOp: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > (X0 > X1) > X0 > X1)).
% 12.01/1.98  thf(func_def_42, type, prod_pOp: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > (X0 > X1) > (X0 > X1) > X0 > X1)).
% 12.01/1.98  thf(func_def_43, type, prod_zero: !>[X0: $tType, X1: $tType, X2: $tType]:(set @ X0 > (X0 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X2) > X0 > X1)).
% 12.01/1.98  thf(func_def_44, type, rInvim: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ ring_ext @ X2 @ X3 > (X0 > X2) > set @ X2 > set @ X0)).
% 12.01/1.98  thf(func_def_45, type, sr2: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > $o)).
% 12.01/1.98  thf(func_def_46, type, zeroring: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > $o)).
% 12.01/1.98  thf(func_def_47, type, sum_mult: !>[X0: $tType, X1: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X0 > set @ X0 > set @ X0)).
% 12.01/1.98  thf(func_def_48, type, module: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X3 > $o)).
% 12.01/1.98  thf(func_def_49, type, sprod: !>[X0: $tType, X1: $tType, X2: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ module_ext @ X0 @ X1 @ X2 > X1 > X0 > X0)).
% 12.01/1.98  thf(func_def_50, type, mHom: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > carrier_ext @ X2 @ aGroup_ext @ X2 @ module_ext @ X2 @ X0 @ X3 > carrier_ext @ X4 @ aGroup_ext @ X4 @ module_ext @ X4 @ X0 @ X5 > set @ (X2 > X4))).
% 12.01/1.98  thf(func_def_51, type, algebr1000837334_prodM: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X2 > (X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X4) > carrier_ext @ (X2 > X3) @ aGroup_ext @ (X2 > X3) @ module_ext @ (X2 > X3) @ X0 @ product_unit)).
% 12.01/1.98  thf(func_def_52, type, algebr142713364_sprod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X1 > set @ X2 > (X2 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X4) > X0 > (X2 > X3) > X2 > X3)).
% 12.01/1.98  thf(func_def_53, type, pi: !>[X0: $tType, X1: $tType]:(set @ X0 > (X0 > set @ X1) > set @ (X0 > X1))).
% 12.01/1.98  thf(func_def_54, type, plus_plus: !>[X0: $tType]:(X0 > X0 > X0)).
% 12.01/1.98  thf(func_def_55, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 12.01/1.98  thf(func_def_56, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 12.01/1.98  thf(func_def_57, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 12.01/1.98  thf(func_def_58, type, i: set @ c).
% 12.01/1.98  thf(func_def_59, type, m: c > carrier_ext @ d @ aGroup_ext @ d @ module_ext @ d @ a @ e).
% 12.01/1.98  thf(func_def_60, type, r: carrier_ext @ a @ aGroup_ext @ a @ ring_ext @ a @ b).
% 12.01/1.98  thf(func_def_75, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > (X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_76, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_77, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_78, type, sK3: !>[X0: $tType, X1: $tType]:(X1 > set @ X1 > set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_79, type, sK4: !>[X0: $tType, X1: $tType]:(X1 > set @ X1 > set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_80, type, sK5: set @ a).
% 12.01/1.98  thf(func_def_81, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_82, type, sK7: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_83, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_84, type, sK9: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 12.01/1.98  thf(func_def_85, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_86, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ module_ext @ X1 @ a @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_87, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ module_ext @ X1 @ a @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_88, type, sK13: !>[X0: $tType, X1: $tType]:((X1 > set @ X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_89, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ module_ext @ X1 @ a @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_90, type, sK15: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_91, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_92, type, sK17: !>[X0: $tType, X1: $tType]:((X1 > set @ X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_93, type, sK18: !>[X0: $tType, X1: $tType]:(carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > set @ X1)).
% 12.01/1.98  thf(func_def_94, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_95, type, sK20: !>[X0: $tType, X1: $tType]:((X1 > set @ X0) > (X1 > set @ X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_96, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_97, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > (X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_98, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_99, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X4 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X2 @ X1) > set @ X4 > carrier_ext @ X2 @ aGroup_ext @ X2 @ ring_ext @ X2 @ X0 > X4)).
% 12.01/1.98  thf(func_def_100, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_101, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X4 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X1 @ X2) > set @ X4 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X4)).
% 12.01/1.98  thf(func_def_102, type, sK27: a > set @ a).
% 12.01/1.98  thf(func_def_103, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > (X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_104, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_105, type, sK30: nat > nat > nat).
% 12.01/1.98  thf(func_def_106, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_107, type, sK32: set @ a > a).
% 12.01/1.98  thf(func_def_108, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_109, type, sK34: c > d).
% 12.01/1.98  thf(func_def_110, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_111, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X4 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X2 @ X1) > set @ X4 > carrier_ext @ X2 @ aGroup_ext @ X2 @ ring_ext @ X2 @ X0 > X4)).
% 12.01/1.98  thf(func_def_112, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_113, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_114, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_115, type, sK40: !>[X0: $tType, X1: $tType]:(set @ X0 > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_116, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((X3 > X2) > (X3 > X2) > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X1 @ X0 > X3)).
% 12.01/1.98  thf(func_def_117, type, sK42: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 12.01/1.98  thf(func_def_118, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ module_ext @ X1 @ a @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_119, type, sK44: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_120, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > (X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_121, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_122, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_123, type, sK48: !>[X0: $tType]:((X0 > $o) > (X0 > $o) > X0)).
% 12.01/1.98  thf(func_def_124, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > carrier_ext @ X1 @ aGroup_ext @ X1 @ X0) > set @ X2 > X2)).
% 12.01/1.98  thf(func_def_125, type, sK50: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 12.01/1.98  thf(func_def_126, type, sK51: !>[X0: $tType, X1: $tType]:(X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > set @ X1)).
% 12.01/1.98  thf(func_def_127, type, sK52: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > set @ X1 > X1)).
% 12.01/1.98  thf(func_def_128, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((X4 > carrier_ext @ X3 @ aGroup_ext @ X3 @ module_ext @ X3 @ X0 @ X1) > set @ X4 > carrier_ext @ X0 @ aGroup_ext @ X0 @ ring_ext @ X0 @ X2 > X4)).
% 12.01/1.98  thf(func_def_129, type, sK54: !>[X0: $tType]:(set @ X0 > set @ X0 > X0)).
% 12.01/1.98  thf(func_def_131, type, sK56: set @ a > a).
% 12.01/1.98  thf(func_def_132, type, sK57: set @ a > a).
% 12.01/1.98  thf(func_def_133, type, sK58: set @ a > a).
% 12.01/1.98  thf(func_def_134, type, sK59: set @ a > a).
% 12.01/1.98  thf(func_def_135, type, sK60: a > a > a).
% 12.01/1.98  thf(func_def_136, type, sK61: !>[X0: $tType, X1: $tType]:(carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1 > X1)).
% 12.01/1.98  thf(func_def_137, type, sK62: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_138, type, sK63: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_139, type, sK64: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_140, type, sK65: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_141, type, sK66: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_142, type, sK67: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_143, type, sK68: set @ a > a).
% 12.01/1.98  thf(func_def_144, type, sK69: set @ a > a).
% 12.01/1.98  thf(func_def_145, type, sK70: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_146, type, sK71: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_147, type, sK72: a > a).
% 12.01/1.98  thf(func_def_148, type, sK73: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_149, type, sK74: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_150, type, sK75: set @ a > a).
% 12.01/1.98  thf(func_def_151, type, sK76: set @ a > a).
% 12.01/1.98  thf(func_def_152, type, sK77: set @ a > a).
% 12.01/1.98  thf(func_def_153, type, sK78: set @ a > a).
% 12.01/1.98  thf(func_def_154, type, sK79: !>[X0: $tType, X1: $tType]:(set @ X1 > (X1 > set @ X0) > (X1 > X0) > X1)).
% 12.01/1.98  thf(func_def_155, type, sK80: a > a).
% 12.01/1.98  thf(func_def_156, type, sK81: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_157, type, sK82: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_158, type, sK83: !>[X0: $tType, X1: $tType]:(X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_159, type, sK84: set @ a > a).
% 12.01/1.98  thf(func_def_160, type, sK85: set @ a > a).
% 12.01/1.98  thf(func_def_161, type, sK86: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_162, type, sK87: !>[X0: $tType, X1: $tType]:(set @ X1 > carrier_ext @ X1 @ aGroup_ext @ X1 @ ring_ext @ X1 @ X0 > X1)).
% 12.01/1.98  thf(func_def_163, type, sK88: set @ a > a).
% 12.01/1.98  thf(func_def_164, type, sK89: set @ a > a).
% 12.01/1.98  thf(func_def_166, type, ph90: !>[X0: $tType]:(X0)).
% 12.01/1.98  thf(func_def_167, type, sK91: c).
% 12.01/1.98  thf(f2186,plain,(
% 12.01/1.98    $false),
% 12.01/1.98    inference(avatar_sat_refutation,[],[f2008,f2018,f2028,f2043,f2185])).
% 12.01/1.98  thf(f2185,plain,(
% 12.01/1.98    ~spl55_3 | ~spl55_5 | spl55_7 | ~spl55_9),
% 12.01/1.98    inference(avatar_contradiction_clause,[],[f2184])).
% 12.01/1.98  thf(f2184,plain,(
% 12.01/1.98    $false | (~spl55_3 | ~spl55_5 | spl55_7 | ~spl55_9)),
% 12.01/1.98    inference(subsumption_resolution,[],[f2183,f2027])).
% 12.01/1.98  thf(f2027,plain,(
% 12.01/1.98    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != sK34) | spl55_7),
% 12.01/1.98    inference(avatar_component_clause,[],[f2025])).
% 12.01/1.98  thf(f2025,plain,(
% 12.01/1.98    spl55_7 <=> ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = sK34)),
% 12.01/1.98    introduced(avatar_definition,[new_symbols(naming,[spl55_7])])).
% 12.01/1.98  thf(f2183,plain,(
% 12.01/1.98    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = sK34) | (~spl55_3 | ~spl55_5 | ~spl55_9)),
% 12.01/1.98    inference(forward_demodulation,[],[f2182,f2042])).
% 12.01/1.98  thf(f2042,plain,(
% 12.01/1.98    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34) = sK34) | ~spl55_9),
% 12.01/1.98    inference(avatar_component_clause,[],[f2040])).
% 12.01/1.98  thf(f2040,plain,(
% 12.01/1.98    spl55_9 <=> ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34) = sK34)),
% 12.01/1.98    introduced(avatar_definition,[new_symbols(naming,[spl55_9])])).
% 12.01/1.98  thf(f2182,plain,(
% 12.01/1.98    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34)) | (~spl55_3 | ~spl55_5)),
% 12.01/1.98    inference(trivial_inequality_removal,[],[f2180])).
% 12.01/1.98  thf(f2180,plain,(
% 12.01/1.98    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34)) | ($true != $true) | (~spl55_3 | ~spl55_5)),
% 12.01/1.98    inference(superposition,[],[f2079,f2017])).
% 12.01/1.98  thf(f2017,plain,(
% 12.01/1.98    ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) | ~spl55_5),
% 12.01/1.98    inference(avatar_component_clause,[],[f2015])).
% 12.01/1.98  thf(f2015,plain,(
% 12.01/1.98    spl55_5 <=> ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true)),
% 12.01/1.98    introduced(avatar_definition,[new_symbols(naming,[spl55_5])])).
% 12.01/1.98  thf(f2079,plain,(
% 12.01/1.98    ( ! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ sK34) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ X0))) ) | ~spl55_3),
% 12.01/1.98    inference(trivial_inequality_removal,[],[f2078])).
% 12.01/1.98  thf(f2078,plain,(
% 12.01/1.98    ( ! [X0 : c > d] : (($true != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ sK34) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ X0)) | ((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) ) | ~spl55_3),
% 12.01/1.98    inference(superposition,[],[f1393,f2007])).
% 12.01/1.98  thf(f2007,plain,(
% 12.01/1.98    ((member @ (c > d) @ sK34 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) | ~spl55_3),
% 12.01/1.98    inference(avatar_component_clause,[],[f2005])).
% 12.01/1.98  thf(f2005,plain,(
% 12.01/1.98    spl55_3 <=> ((member @ (c > d) @ sK34 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true)),
% 12.01/1.98    introduced(avatar_definition,[new_symbols(naming,[spl55_3])])).
% 12.01/1.98  thf(f1393,plain,(
% 12.01/1.98    ( ! [X4 : c > d,X5 : c > d] : (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X4) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5)) | ((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) )),
% 12.01/1.98    inference(cnf_transformation,[],[f1251])).
% 12.01/1.98  thf(f1251,plain,(
% 12.01/1.98    ! [X0 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0) = X0) | ((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) & ! [X1 : c > d] : (($true != (member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) | ! [X2 : c > d] : (! [X3 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X2 @ X3)) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X2) @ X3)) | ((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) | ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true))) & ! [X4 : c > d] : (! [X5 : c > d] : (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X4) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5))) | ((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) & ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) = $true) & ! [X6 : c > d] : (((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6) @ X6))) & ($true = (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))))),
% 12.01/1.99    inference(rectify,[],[f954])).
% 12.01/1.99  thf(f954,plain,(
% 12.01/1.99    ! [X3 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X3) = X3) | ((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) & ! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ! [X1 : c > d] : (! [X2 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1) @ X2) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X2))) | ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) | ($true != (member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))) & ! [X4 : c > d] : (! [X5 : c > d] : (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X4) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5))) | ((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true)) & ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) = $true) & ! [X6 : c > d] : (((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6) @ X6))) & ($true = (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))))),
% 12.01/1.99    inference(ennf_transformation,[],[f808])).
% 12.01/1.99  thf(f808,plain,(
% 12.01/1.99    ! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ! [X1 : c > d] : (($true = (member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) => ! [X2 : c > d] : (((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1) @ X2) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X2)))))) & ! [X3 : c > d] : (((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X3) = X3)) & ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ! [X6 : c > d] : (((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6) @ X6))) & ! [X4 : c > d] : (((member @ (c > d) @ X4 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ! [X5 : c > d] : (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X4) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X4 @ X5)))) & ($true = (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) & ((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) = $true)),
% 12.01/1.99    inference(rectify,[],[f287])).
% 12.01/1.99  thf(f287,plain,(
% 12.01/1.99    ! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ! [X1 : c > d] : (($true = (member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) => ! [X2 : c > d] : (((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1) @ X2) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X2)))))) & ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ! [X3 : c > d] : (((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X3) = X3)) & ((member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) = $true) & ! [X5 : c > d] : (((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ! [X6 : c > d] : (((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6 @ X5) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6)))) & ($true = (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y0 : c > d]: (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[Y1 : c > d]: (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))))))) & ! [X9 : c > d] : (($true = (member @ (c > d) @ X9 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m))) => ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X9) @ X9)))),
% 12.01/1.99    inference(fool_elimination,[],[f286])).
% 12.01/1.99  thf(f286,plain,(
% 12.01/1.99    ! [X0 : c > d] : ((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X1 : c > d] : ((member @ (c > d) @ X1 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X2 : c > d] : ((member @ (c > d) @ X2 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ X1) @ X2) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X1 @ X2)))))) & (member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) & ! [X3 : c > d] : ((member @ (c > d) @ X3 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X3) = X3)) & (member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X4 : c > d] : (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) & ! [X5 : c > d] : ((member @ (c > d) @ X5 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X6 : c > d] : ((member @ (c > d) @ X6 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X6 @ X5) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X5 @ X6)))) & (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X7 : c > d] : (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X8 : c > d] : (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))) & ! [X9 : c > d] : ((member @ (c > d) @ X9 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X9) @ X9)))),
% 12.01/1.99    inference(rectify,[],[f270])).
% 12.01/1.99  thf(f270,axiom,(
% 12.01/1.99    ! [X81 : c > d] : ((member @ (c > d) @ X81 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X82 : c > d] : ((member @ (c > d) @ X82 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X83 : c > d] : ((member @ (c > d) @ X83 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X81 @ X82) @ X83) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X81 @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X82 @ X83)))))) & (member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) & ! [X81 : c > d] : ((member @ (c > d) @ X81 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X81) = X81)) & (member @ ((c > d) > c > d) @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X16 : c > d] : (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))) & ! [X81 : c > d] : ((member @ (c > d) @ X81 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ! [X82 : c > d] : ((member @ (c > d) @ X82 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X81 @ X82) = (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X82 @ X81)))) & (member @ ((c > d) > (c > d) > c > d) @ (prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (pi @ (c > d) @ ((c > d) > c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X16 : c > d] : (pi @ (c > d) @ (c > d) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (^[X17 : c > d] : (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))))) & ! [X81 : c > d] : ((member @ (c > d) @ X81 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) => ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_mOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X81) @ X81) = (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 12.01/1.99    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 12.01/1.99  thf(f2043,plain,(
% 12.01/1.99    spl55_9 | ~spl55_3),
% 12.01/1.99    inference(avatar_split_clause,[],[f2037,f2005,f2040])).
% 12.01/1.99  thf(f2037,plain,(
% 12.01/1.99    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34) = sK34) | ~spl55_3),
% 12.01/1.99    inference(trivial_inequality_removal,[],[f2036])).
% 12.01/1.99  thf(f2036,plain,(
% 12.01/1.99    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ sK34) = sK34) | ($true != $true) | ~spl55_3),
% 12.01/1.99    inference(superposition,[],[f1395,f2007])).
% 12.01/1.99  thf(f1395,plain,(
% 12.01/1.99    ( ! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ X0) = X0)) )),
% 12.01/1.99    inference(cnf_transformation,[],[f1251])).
% 12.01/1.99  thf(f2028,plain,(
% 12.01/1.99    ~spl55_7),
% 12.01/1.99    inference(avatar_split_clause,[],[f1554,f2025])).
% 12.01/1.99  thf(f1554,plain,(
% 12.01/1.99    ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != sK34)),
% 12.01/1.99    inference(cnf_transformation,[],[f1309])).
% 12.01/1.99  thf(f1309,plain,(
% 12.01/1.99    ((member @ (c > d) @ sK34 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != sK34)),
% 12.01/1.99    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f1110,f1308])).
% 12.01/1.99  thf(f1308,plain,(
% 12.01/1.99    ? [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != X0)) => (((member @ (c > d) @ sK34 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ sK34 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != sK34))),
% 12.01/1.99    introduced(choice_axiom,[])).
% 12.01/1.99  thf(f1110,plain,(
% 12.01/1.99    ? [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true) & ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != X0))),
% 12.01/1.99    inference(ennf_transformation,[],[f822])).
% 12.01/1.99  thf(f822,plain,(
% 12.01/1.99    ~! [X0 : c > d] : (((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) != $true) | ((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = X0))),
% 12.01/1.99    inference(flattening,[],[f545])).
% 12.01/1.99  thf(f545,plain,(
% 12.01/1.99    ~! [X0 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = X0) | ~((member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true))),
% 12.01/1.99    inference(fool_elimination,[],[f544])).
% 12.01/1.99  thf(f544,plain,(
% 12.01/1.99    ~! [X0 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X0 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = X0) | ~(member @ (c > d) @ X0 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 12.01/1.99    inference(rectify,[],[f272])).
% 12.01/1.99  thf(f272,negated_conjecture,(
% 12.01/1.99    ~! [X60 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X60 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = X60) | ~(member @ (c > d) @ X60 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 12.01/1.99    inference(negated_conjecture,[],[f271])).
% 12.01/1.99  thf(f271,conjecture,(
% 12.01/1.99    ! [X60 : c > d] : (((prod_pOp @ c @ d @ module_ext @ d @ a @ e @ i @ m @ X60 @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = X60) | ~(member @ (c > d) @ X60 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)))),
% 12.01/1.99    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 12.01/1.99  thf(f2018,plain,(
% 12.01/1.99    spl55_5),
% 12.01/1.99    inference(avatar_split_clause,[],[f1392,f2015])).
% 12.01/1.99  thf(f1392,plain,(
% 12.01/1.99    ((member @ (c > d) @ (prod_zero @ c @ d @ module_ext @ d @ a @ e @ i @ m) @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true)),
% 12.01/1.99    inference(cnf_transformation,[],[f1251])).
% 12.01/1.99  thf(f2008,plain,(
% 12.01/1.99    spl55_3),
% 12.01/1.99    inference(avatar_split_clause,[],[f1555,f2005])).
% 12.01/1.99  thf(f1555,plain,(
% 12.01/1.99    ((member @ (c > d) @ sK34 @ (carr_prodag @ c @ d @ module_ext @ d @ a @ e @ i @ m)) = $true)),
% 12.01/1.99    inference(cnf_transformation,[],[f1309])).
% 12.01/1.99  % SZS output end Proof for theBenchmark
% 12.01/1.99  % (8234)------------------------------
% 12.01/1.99  % (8234)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 12.01/1.99  % (8234)Termination reason: Refutation
% 12.01/1.99  
% 12.01/1.99  % (8234)Memory used [KB]: 8187
% 12.01/1.99  % (8234)Time elapsed: 0.190 s
% 12.01/1.99  % (8234)Instructions burned: 261 (million)
% 12.01/1.99  % (8234)------------------------------
% 12.01/1.99  % (8234)------------------------------
% 12.01/1.99  % (8137)Success in time 1.631 s
% 12.01/1.99  % Vampire---4.8 exiting
%------------------------------------------------------------------------------