TSTP Solution File: SEU710^1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU710^1 : TPTP v8.2.0. Released v3.7.0.
% 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 : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 03:50:56 EDT 2024

% Result   : Theorem 1.91s 0.54s
% Output   : Refutation 1.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SEU710^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.10  % 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
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit   : 300
% 0.10/0.28  % WCLimit    : 300
% 0.10/0.28  % DateTime   : Sun May 19 16:50:07 EDT 2024
% 0.10/0.28  % CPUTime    : 
% 0.10/0.28  This is a TH0_THM_EQU_NAR problem
% 0.10/0.29  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
% 0.10/0.31  % (8054)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.10/0.31  % (8050)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)
% 0.10/0.31  % (8053)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)
% 0.10/0.31  % (8048)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.10/0.31  % (8052)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)
% 0.10/0.31  % (8049)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)
% 0.10/0.31  % (8051)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.31  % (8051)Instruction limit reached!
% 0.13/0.31  % (8051)------------------------------
% 0.13/0.31  % (8051)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31  % (8051)Termination reason: Unknown
% 0.13/0.31  % (8051)Termination phase: shuffling
% 0.13/0.31  
% 0.13/0.31  % (8051)Memory used [KB]: 1407
% 0.13/0.31  % (8051)Time elapsed: 0.003 s
% 0.13/0.31  % (8051)Instructions burned: 2 (million)
% 0.13/0.31  % (8051)------------------------------
% 0.13/0.31  % (8051)------------------------------
% 0.13/0.31  % (8054)Instruction limit reached!
% 0.13/0.31  % (8054)------------------------------
% 0.13/0.31  % (8054)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31  % (8054)Termination reason: Unknown
% 0.13/0.31  % (8054)Termination phase: shuffling
% 0.13/0.31  
% 0.13/0.31  % (8054)Memory used [KB]: 1791
% 0.13/0.31  % (8054)Time elapsed: 0.008 s
% 0.13/0.31  % (8054)Instructions burned: 18 (million)
% 0.13/0.31  % (8054)------------------------------
% 0.13/0.31  % (8054)------------------------------
% 0.13/0.32  % (8049)Instruction limit reached!
% 0.13/0.32  % (8049)------------------------------
% 0.13/0.32  % (8049)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32  % (8049)Termination reason: Unknown
% 0.13/0.32  % (8049)Termination phase: shuffling
% 0.13/0.32  
% 0.13/0.32  % (8049)Memory used [KB]: 1407
% 0.13/0.32  % (8049)Time elapsed: 0.004 s
% 0.13/0.32  % (8049)Instructions burned: 5 (million)
% 0.13/0.32  % (8049)------------------------------
% 0.13/0.32  % (8049)------------------------------
% 0.13/0.32  % (8052)Instruction limit reached!
% 0.13/0.32  % (8052)------------------------------
% 0.13/0.32  % (8052)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32  % (8052)Termination reason: Unknown
% 0.13/0.32  % (8052)Termination phase: shuffling
% 0.13/0.32  
% 0.13/0.32  % (8052)Memory used [KB]: 1407
% 0.13/0.32  % (8052)Time elapsed: 0.004 s
% 0.13/0.32  % (8052)Instructions burned: 3 (million)
% 0.13/0.32  % (8052)------------------------------
% 0.13/0.32  % (8052)------------------------------
% 0.13/0.32  % (8050)Instruction limit reached!
% 0.13/0.32  % (8050)------------------------------
% 0.13/0.32  % (8050)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32  % (8050)Termination reason: Unknown
% 0.13/0.32  % (8050)Termination phase: shuffling
% 0.13/0.32  
% 0.13/0.32  % (8050)Memory used [KB]: 1918
% 0.13/0.32  % (8050)Time elapsed: 0.010 s
% 0.13/0.32  % (8050)Instructions burned: 28 (million)
% 0.13/0.32  % (8050)------------------------------
% 0.13/0.32  % (8050)------------------------------
% 0.13/0.32  % (8055)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.32  % (8055)Instruction limit reached!
% 0.13/0.32  % (8055)------------------------------
% 0.13/0.32  % (8055)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.32  % (8055)Termination reason: Unknown
% 0.13/0.32  % (8055)Termination phase: shuffling
% 0.13/0.32  
% 0.13/0.32  % (8055)Memory used [KB]: 1407
% 0.13/0.32  % (8055)Time elapsed: 0.003 s
% 0.13/0.32  % (8055)Instructions burned: 3 (million)
% 0.13/0.32  % (8055)------------------------------
% 0.13/0.32  % (8055)------------------------------
% 0.13/0.32  % (8057)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.32  % (8060)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.33  % (8056)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.13/0.33  % (8060)Instruction limit reached!
% 0.13/0.33  % (8060)------------------------------
% 0.13/0.33  % (8060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (8060)Termination reason: Unknown
% 0.13/0.33  % (8060)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (8060)Memory used [KB]: 1535
% 0.13/0.33  % (8060)Time elapsed: 0.004 s
% 0.13/0.33  % (8060)Instructions burned: 10 (million)
% 0.13/0.33  % (8060)------------------------------
% 0.13/0.33  % (8060)------------------------------
% 0.13/0.33  % (8058)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.33  % (8057)Instruction limit reached!
% 0.13/0.33  % (8057)------------------------------
% 0.13/0.33  % (8057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (8057)Termination reason: Unknown
% 0.13/0.33  % (8057)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (8057)Memory used [KB]: 1791
% 0.13/0.33  % (8057)Time elapsed: 0.007 s
% 0.13/0.33  % (8057)Instructions burned: 17 (million)
% 0.13/0.33  % (8057)------------------------------
% 0.13/0.33  % (8057)------------------------------
% 0.13/0.33  % (8058)Instruction limit reached!
% 0.13/0.33  % (8058)------------------------------
% 0.13/0.33  % (8058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.33  % (8058)Termination reason: Unknown
% 0.13/0.33  % (8058)Termination phase: shuffling
% 0.13/0.33  
% 0.13/0.33  % (8058)Memory used [KB]: 1407
% 0.13/0.33  % (8058)Time elapsed: 0.003 s
% 0.13/0.33  % (8058)Instructions burned: 4 (million)
% 0.13/0.33  % (8058)------------------------------
% 0.13/0.33  % (8058)------------------------------
% 0.13/0.33  % (8059)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.13/0.33  % (8061)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.34  % (8062)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.34  % (8062)Instruction limit reached!
% 0.13/0.34  % (8062)------------------------------
% 0.13/0.34  % (8062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (8062)Termination reason: Unknown
% 0.13/0.34  % (8062)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (8062)Memory used [KB]: 1407
% 0.13/0.34  % (8062)Time elapsed: 0.002 s
% 0.13/0.34  % (8062)Instructions burned: 3 (million)
% 0.13/0.34  % (8062)------------------------------
% 0.13/0.34  % (8062)------------------------------
% 0.13/0.34  % (8063)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.34  % (8063)Instruction limit reached!
% 0.13/0.34  % (8063)------------------------------
% 0.13/0.34  % (8063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (8063)Termination reason: Unknown
% 0.13/0.34  % (8063)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (8063)Memory used [KB]: 1407
% 0.13/0.34  % (8063)Time elapsed: 0.002 s
% 0.13/0.34  % (8063)Instructions burned: 3 (million)
% 0.13/0.34  % (8063)------------------------------
% 0.13/0.34  % (8063)------------------------------
% 0.13/0.34  % (8061)Instruction limit reached!
% 0.13/0.34  % (8061)------------------------------
% 0.13/0.34  % (8061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (8061)Termination reason: Unknown
% 0.13/0.34  % (8061)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (8061)Memory used [KB]: 1791
% 0.13/0.34  % (8061)Time elapsed: 0.008 s
% 0.13/0.34  % (8061)Instructions burned: 18 (million)
% 0.13/0.34  % (8061)------------------------------
% 0.13/0.34  % (8061)------------------------------
% 0.13/0.34  % (8064)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.34  % (8056)Instruction limit reached!
% 0.13/0.34  % (8056)------------------------------
% 0.13/0.34  % (8056)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (8056)Termination reason: Unknown
% 0.13/0.34  % (8056)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (8056)Memory used [KB]: 2174
% 0.13/0.34  % (8056)Time elapsed: 0.016 s
% 0.13/0.34  % (8056)Instructions burned: 37 (million)
% 0.13/0.34  % (8056)------------------------------
% 0.13/0.34  % (8056)------------------------------
% 0.13/0.34  % (8064)Instruction limit reached!
% 0.13/0.34  % (8064)------------------------------
% 0.13/0.34  % (8064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.34  % (8064)Termination reason: Unknown
% 0.13/0.34  % (8064)Termination phase: shuffling
% 0.13/0.34  
% 0.13/0.34  % (8064)Memory used [KB]: 1535
% 0.13/0.34  % (8064)Time elapsed: 0.004 s
% 0.13/0.34  % (8064)Instructions burned: 7 (million)
% 0.13/0.34  % (8064)------------------------------
% 0.13/0.34  % (8064)------------------------------
% 0.13/0.35  % (8065)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.35  % (8065)Instruction limit reached!
% 0.13/0.35  % (8065)------------------------------
% 0.13/0.35  % (8065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (8065)Termination reason: Unknown
% 0.13/0.35  % (8065)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (8065)Memory used [KB]: 1407
% 0.13/0.35  % (8065)Time elapsed: 0.002 s
% 0.13/0.35  % (8065)Instructions burned: 3 (million)
% 0.13/0.35  % (8065)------------------------------
% 0.13/0.35  % (8065)------------------------------
% 0.13/0.35  % (8066)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.35  % (8066)Instruction limit reached!
% 0.13/0.35  % (8066)------------------------------
% 0.13/0.35  % (8066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.35  % (8067)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)
% 0.13/0.35  % (8066)Termination reason: Unknown
% 0.13/0.35  % (8066)Termination phase: shuffling
% 0.13/0.35  
% 0.13/0.35  % (8066)Memory used [KB]: 1535
% 0.13/0.35  % (8066)Time elapsed: 0.003 s
% 0.13/0.35  % (8066)Instructions burned: 7 (million)
% 0.13/0.35  % (8066)------------------------------
% 0.13/0.35  % (8066)------------------------------
% 0.13/0.35  % (8068)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.13/0.35  % (8070)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.13/0.36  % (8069)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.13/0.36  % (8067)Instruction limit reached!
% 0.13/0.36  % (8067)------------------------------
% 0.13/0.36  % (8067)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (8067)Termination reason: Unknown
% 0.13/0.36  % (8067)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (8067)Memory used [KB]: 1791
% 0.13/0.36  % (8067)Time elapsed: 0.007 s
% 0.13/0.36  % (8067)Instructions burned: 19 (million)
% 0.13/0.36  % (8067)------------------------------
% 0.13/0.36  % (8067)------------------------------
% 0.13/0.36  % (8069)Instruction limit reached!
% 0.13/0.36  % (8069)------------------------------
% 0.13/0.36  % (8069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36  % (8069)Termination reason: Unknown
% 0.13/0.36  % (8069)Termination phase: shuffling
% 0.13/0.36  
% 0.13/0.36  % (8069)Memory used [KB]: 1535
% 0.13/0.36  % (8069)Time elapsed: 0.004 s
% 0.13/0.36  % (8071)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.13/0.36  % (8069)Instructions burned: 8 (million)
% 0.13/0.36  % (8069)------------------------------
% 0.13/0.36  % (8069)------------------------------
% 0.13/0.37  % (8072)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.13/0.37  % (8071)Instruction limit reached!
% 0.13/0.37  % (8071)------------------------------
% 0.13/0.37  % (8071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (8071)Termination reason: Unknown
% 0.13/0.37  % (8071)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (8071)Memory used [KB]: 1918
% 0.13/0.37  % (8071)Time elapsed: 0.008 s
% 0.13/0.37  % (8071)Instructions burned: 24 (million)
% 0.13/0.37  % (8071)------------------------------
% 0.13/0.37  % (8071)------------------------------
% 0.13/0.37  % (8072)Instruction limit reached!
% 0.13/0.37  % (8072)------------------------------
% 0.13/0.37  % (8072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (8072)Termination reason: Unknown
% 0.13/0.37  % (8072)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (8072)Memory used [KB]: 1535
% 0.13/0.37  % (8072)Time elapsed: 0.004 s
% 0.13/0.37  % (8072)Instructions burned: 7 (million)
% 0.13/0.37  % (8072)------------------------------
% 0.13/0.37  % (8072)------------------------------
% 0.13/0.37  % (8073)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.13/0.37  % (8048)Instruction limit reached!
% 0.13/0.37  % (8048)------------------------------
% 0.13/0.37  % (8048)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (8048)Termination reason: Unknown
% 0.13/0.37  % (8048)Termination phase: Saturation
% 0.13/0.37  
% 0.13/0.37  % (8048)Memory used [KB]: 7547
% 0.13/0.37  % (8048)Time elapsed: 0.060 s
% 0.13/0.37  % (8048)Instructions burned: 184 (million)
% 0.13/0.37  % (8048)------------------------------
% 0.13/0.37  % (8048)------------------------------
% 0.13/0.37  % (8073)Instruction limit reached!
% 0.13/0.37  % (8073)------------------------------
% 0.13/0.37  % (8073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37  % (8073)Termination reason: Unknown
% 0.13/0.37  % (8073)Termination phase: shuffling
% 0.13/0.37  
% 0.13/0.37  % (8073)Memory used [KB]: 1535
% 0.13/0.37  % (8073)Time elapsed: 0.004 s
% 0.13/0.37  % (8073)Instructions burned: 7 (million)
% 0.13/0.37  % (8073)------------------------------
% 0.13/0.37  % (8073)------------------------------
% 0.13/0.37  % (8074)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.13/0.38  % (8075)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.13/0.38  % (8076)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.13/0.38  % (8077)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.13/0.38  % (8076)Instruction limit reached!
% 0.13/0.38  % (8076)------------------------------
% 0.13/0.38  % (8076)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38  % (8076)Termination reason: Unknown
% 0.13/0.38  % (8076)Termination phase: shuffling
% 0.13/0.38  
% 0.13/0.38  % (8076)Memory used [KB]: 1791
% 0.13/0.38  % (8076)Time elapsed: 0.007 s
% 0.13/0.38  % (8076)Instructions burned: 20 (million)
% 0.13/0.38  % (8076)------------------------------
% 0.13/0.38  % (8076)------------------------------
% 0.13/0.39  % (8078)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.13/0.40  % (8078)Instruction limit reached!
% 0.13/0.40  % (8078)------------------------------
% 0.13/0.40  % (8078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (8078)Termination reason: Unknown
% 0.13/0.40  % (8078)Termination phase: shuffling
% 0.13/0.40  
% 0.13/0.40  % (8078)Memory used [KB]: 1791
% 0.13/0.40  % (8078)Time elapsed: 0.007 s
% 0.13/0.40  % (8078)Instructions burned: 19 (million)
% 0.13/0.40  % (8078)------------------------------
% 0.13/0.40  % (8078)------------------------------
% 0.13/0.40  % (8053)Instruction limit reached!
% 0.13/0.40  % (8053)------------------------------
% 0.13/0.40  % (8053)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40  % (8053)Termination reason: Unknown
% 0.13/0.40  % (8053)Termination phase: Saturation
% 0.13/0.40  
% 0.13/0.40  % (8053)Memory used [KB]: 9210
% 0.13/0.40  % (8053)Time elapsed: 0.096 s
% 0.13/0.40  % (8053)Instructions burned: 277 (million)
% 0.13/0.40  % (8053)------------------------------
% 0.13/0.40  % (8053)------------------------------
% 0.13/0.41  % (8079)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.13/0.41  % (8079)Instruction limit reached!
% 0.13/0.41  % (8079)------------------------------
% 0.13/0.41  % (8079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.41  % (8079)Termination reason: Unknown
% 0.13/0.41  % (8079)Termination phase: shuffling
% 0.13/0.41  
% 0.13/0.41  % (8079)Memory used [KB]: 1407
% 0.13/0.41  % (8079)Time elapsed: 0.003 s
% 0.13/0.41  % (8079)Instructions burned: 6 (million)
% 0.13/0.41  % (8079)------------------------------
% 0.13/0.41  % (8079)------------------------------
% 0.13/0.41  % (8080)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.13/0.42  % (8081)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.13/0.42  % (8080)Instruction limit reached!
% 0.13/0.42  % (8080)------------------------------
% 0.13/0.42  % (8080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.42  % (8080)Termination reason: Unknown
% 0.13/0.42  % (8080)Termination phase: shuffling
% 0.13/0.42  
% 0.13/0.42  % (8080)Memory used [KB]: 1918
% 0.13/0.42  % (8080)Time elapsed: 0.011 s
% 0.13/0.42  % (8080)Instructions burned: 31 (million)
% 0.13/0.42  % (8080)------------------------------
% 0.13/0.42  % (8080)------------------------------
% 0.13/0.43  % (8082)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.13/0.45  % (8081)Instruction limit reached!
% 0.13/0.45  % (8081)------------------------------
% 0.13/0.45  % (8081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.45  % (8081)Termination reason: Unknown
% 0.13/0.45  % (8081)Termination phase: Property scanning
% 0.13/0.45  
% 0.13/0.45  % (8081)Memory used [KB]: 2558
% 0.13/0.45  % (8081)Time elapsed: 0.036 s
% 0.13/0.45  % (8081)Instructions burned: 130 (million)
% 0.13/0.45  % (8081)------------------------------
% 0.13/0.45  % (8081)------------------------------
% 0.13/0.46  % (8082)Instruction limit reached!
% 0.13/0.46  % (8082)------------------------------
% 0.13/0.46  % (8082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.46  % (8082)Termination reason: Unknown
% 0.13/0.46  % (8082)Termination phase: Property scanning
% 0.13/0.46  
% 0.13/0.46  % (8082)Memory used [KB]: 2430
% 0.13/0.46  % (8082)Time elapsed: 0.029 s
% 0.13/0.46  % (8082)Instructions burned: 103 (million)
% 0.13/0.46  % (8082)------------------------------
% 0.13/0.46  % (8082)------------------------------
% 0.13/0.46  % (8083)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.13/0.46  % (8083)Instruction limit reached!
% 0.13/0.46  % (8083)------------------------------
% 0.13/0.46  % (8083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.46  % (8083)Termination reason: Unknown
% 0.13/0.46  % (8083)Termination phase: shuffling
% 0.13/0.46  
% 0.13/0.46  % (8083)Memory used [KB]: 1407
% 0.13/0.46  % (8083)Time elapsed: 0.003 s
% 0.13/0.46  % (8083)Instructions burned: 5 (million)
% 0.13/0.46  % (8083)------------------------------
% 0.13/0.46  % (8083)------------------------------
% 0.13/0.47  % (8084)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.13/0.47  % (8085)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.13/0.48  % (8084)Instruction limit reached!
% 0.13/0.48  % (8084)------------------------------
% 0.13/0.48  % (8084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (8084)Termination reason: Unknown
% 0.13/0.48  % (8084)Termination phase: shuffling
% 0.13/0.48  
% 0.13/0.48  % (8084)Memory used [KB]: 1791
% 0.13/0.48  % (8084)Time elapsed: 0.009 s
% 0.13/0.48  % (8084)Instructions burned: 22 (million)
% 0.13/0.48  % (8084)------------------------------
% 0.13/0.48  % (8084)------------------------------
% 0.13/0.48  % (8074)Instruction limit reached!
% 0.13/0.48  % (8074)------------------------------
% 0.13/0.48  % (8074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.48  % (8074)Termination reason: Unknown
% 0.13/0.48  % (8074)Termination phase: Saturation
% 0.13/0.48  
% 0.13/0.48  % (8074)Memory used [KB]: 9338
% 0.13/0.48  % (8074)Time elapsed: 0.110 s
% 0.13/0.48  % (8074)Instructions burned: 378 (million)
% 0.13/0.48  % (8074)------------------------------
% 0.13/0.48  % (8074)------------------------------
% 0.13/0.49  % (8086)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.13/0.49  % (8087)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.13/0.49  % (8085)Instruction limit reached!
% 0.13/0.49  % (8085)------------------------------
% 0.13/0.49  % (8085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.49  % (8085)Termination reason: Unknown
% 0.13/0.49  % (8085)Termination phase: Function definition elimination
% 0.13/0.49  
% 0.13/0.49  % (8085)Memory used [KB]: 2430
% 0.13/0.49  % (8085)Time elapsed: 0.025 s
% 0.13/0.49  % (8085)Instructions burned: 87 (million)
% 0.13/0.49  % (8085)------------------------------
% 0.13/0.49  % (8085)------------------------------
% 0.13/0.50  % (8087)Instruction limit reached!
% 0.13/0.50  % (8087)------------------------------
% 0.13/0.50  % (8087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.50  % (8087)Termination reason: Unknown
% 0.13/0.50  % (8087)Termination phase: Property scanning
% 0.13/0.50  
% 0.13/0.50  % (8087)Memory used [KB]: 2302
% 0.13/0.50  % (8087)Time elapsed: 0.013 s
% 0.13/0.50  % (8087)Instructions burned: 41 (million)
% 0.13/0.50  % (8087)------------------------------
% 0.13/0.50  % (8087)------------------------------
% 0.13/0.50  % (8088)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 0.13/0.51  % (8089)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 0.13/0.51  % (8086)Instruction limit reached!
% 0.13/0.51  % (8086)------------------------------
% 0.13/0.51  % (8086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.51  % (8086)Termination reason: Unknown
% 0.13/0.51  % (8086)Termination phase: Function definition elimination
% 0.13/0.51  
% 0.13/0.51  % (8086)Memory used [KB]: 2430
% 0.13/0.51  % (8086)Time elapsed: 0.030 s
% 0.13/0.51  % (8086)Instructions burned: 108 (million)
% 0.13/0.51  % (8086)------------------------------
% 0.13/0.51  % (8086)------------------------------
% 0.13/0.52  % (8090)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 (2997ds/98Mi)
% 0.13/0.52  % (8089)Instruction limit reached!
% 0.13/0.52  % (8089)------------------------------
% 0.13/0.52  % (8089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.52  % (8089)Termination reason: Unknown
% 0.13/0.52  % (8089)Termination phase: Property scanning
% 0.13/0.52  
% 0.13/0.52  % (8089)Memory used [KB]: 2174
% 0.13/0.52  % (8089)Time elapsed: 0.014 s
% 0.13/0.52  % (8089)Instructions burned: 48 (million)
% 0.13/0.52  % (8089)------------------------------
% 0.13/0.52  % (8089)------------------------------
% 0.13/0.53  % (8091)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 (2997ds/507Mi)
% 0.13/0.54  % (8070)First to succeed.
% 1.91/0.54  % (8070)Refutation found. Thanks to Tanya!
% 1.91/0.54  % SZS status Theorem for theBenchmark
% 1.91/0.54  % SZS output start Proof for theBenchmark
% 1.91/0.54  thf(func_def_0, type, in: $i > $i > $o).
% 1.91/0.54  thf(func_def_1, type, exu: ($i > $o) > $o).
% 1.91/0.54  thf(func_def_6, type, setadjoin: $i > $i > $i).
% 1.91/0.54  thf(func_def_8, type, powerset: $i > $i).
% 1.91/0.54  thf(func_def_10, type, setunion: $i > $i).
% 1.91/0.54  thf(func_def_19, type, descr: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_26, type, prop2set: $o > $i).
% 1.91/0.54  thf(func_def_36, type, nonempty: $i > $o).
% 1.91/0.54  thf(func_def_69, type, set2prop: $i > $o).
% 1.91/0.54  thf(func_def_88, type, subset: $i > $i > $o).
% 1.91/0.54  thf(func_def_89, type, disjoint: $i > $i > $o).
% 1.91/0.54  thf(func_def_90, type, setsmeet: $i > $i > $o).
% 1.91/0.54  thf(func_def_114, type, binunion: $i > $i > $i).
% 1.91/0.54  thf(func_def_122, type, binintersect: $i > $i > $i).
% 1.91/0.54  thf(func_def_135, type, regular: $i > $o).
% 1.91/0.54  thf(func_def_136, type, setminus: $i > $i > $i).
% 1.91/0.54  thf(func_def_147, type, symdiff: $i > $i > $i).
% 1.91/0.54  thf(func_def_153, type, iskpair: $i > $o).
% 1.91/0.54  thf(func_def_158, type, kpair: $i > $i > $i).
% 1.91/0.54  thf(func_def_160, type, cartprod: $i > $i > $i).
% 1.91/0.54  thf(func_def_177, type, singleton: $i > $o).
% 1.91/0.54  thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 1.91/0.54  thf(func_def_184, type, atmost1p: $i > $o).
% 1.91/0.54  thf(func_def_185, type, atleast2p: $i > $o).
% 1.91/0.54  thf(func_def_186, type, atmost2p: $i > $o).
% 1.91/0.54  thf(func_def_187, type, upairsetp: $i > $o).
% 1.91/0.54  thf(func_def_191, type, kfst: $i > $i).
% 1.91/0.54  thf(func_def_203, type, ksnd: $i > $i).
% 1.91/0.54  thf(func_def_213, type, breln: $i > $i > $i > $o).
% 1.91/0.54  thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 1.91/0.54  thf(func_def_222, type, func: $i > $i > $i > $o).
% 1.91/0.54  thf(func_def_223, type, funcSet: $i > $i > $i).
% 1.91/0.54  thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 1.91/0.54  thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 1.91/0.54  thf(func_def_279, type, sP1: $o > $i > $i > $i > $o).
% 1.91/0.54  thf(func_def_281, type, sP3: $i > $i > $i > $i > $o).
% 1.91/0.54  thf(func_def_283, type, sP5: $i > $i > $o).
% 1.91/0.54  thf(func_def_284, type, sP6: $i > $o).
% 1.91/0.54  thf(func_def_285, type, sP7: $i > $i > $o).
% 1.91/0.54  thf(func_def_286, type, sP8: $i > $i > $o).
% 1.91/0.54  thf(func_def_299, type, sK21: $i > $i > $i).
% 1.91/0.54  thf(func_def_300, type, sK22: $i > $i > $i).
% 1.91/0.54  thf(func_def_303, type, sK25: $i > $i > $i).
% 1.91/0.54  thf(func_def_324, type, sK46: $i > $i > $o).
% 1.91/0.54  thf(func_def_326, type, sK48: $i > $i).
% 1.91/0.54  thf(func_def_327, type, sK49: $i > $i).
% 1.91/0.54  thf(func_def_328, type, sK50: $i > ($i > $i > $o) > $i).
% 1.91/0.54  thf(func_def_329, type, sK51: $i > ($i > $i > $o) > $i).
% 1.91/0.54  thf(func_def_330, type, sK52: $i > $i > ($i > $i > $o) > $i).
% 1.91/0.54  thf(func_def_359, type, sK81: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_361, type, sK83: $i > $o).
% 1.91/0.54  thf(func_def_371, type, sK93: $i > $i).
% 1.91/0.54  thf(func_def_372, type, sK94: $i > $i).
% 1.91/0.54  thf(func_def_373, type, sK95: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_374, type, sK96: $i > $o).
% 1.91/0.54  thf(func_def_377, type, sK99: $i > $i).
% 1.91/0.54  thf(func_def_383, type, sK105: $o > $i > $i > $i).
% 1.91/0.54  thf(func_def_387, type, sK109: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.91/0.54  thf(func_def_388, type, sK110: ($i > $o) > ($i > $o) > $i > $i > $i).
% 1.91/0.54  thf(func_def_391, type, sK113: $i > $o).
% 1.91/0.54  thf(func_def_392, type, sK114: $i > $o).
% 1.91/0.54  thf(func_def_400, type, sK122: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_401, type, sK123: $i > $o).
% 1.91/0.54  thf(func_def_431, type, sK153: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_432, type, sK154: $i > $o).
% 1.91/0.54  thf(func_def_433, type, sK155: $i > $i).
% 1.91/0.54  thf(func_def_438, type, sK160: $i > $i > $o).
% 1.91/0.54  thf(func_def_450, type, sK172: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_451, type, sK173: $i > $o).
% 1.91/0.54  thf(func_def_457, type, sK179: $i > $i).
% 1.91/0.54  thf(func_def_459, type, sK181: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_460, type, sK182: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_466, type, sK188: $i > $o).
% 1.91/0.54  thf(func_def_472, type, sK194: $i > $o).
% 1.91/0.54  thf(func_def_475, type, sK197: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_483, type, sK205: $i > $o).
% 1.91/0.54  thf(func_def_486, type, sK208: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_498, type, sK220: $i > $o).
% 1.91/0.54  thf(func_def_517, type, sK239: $i > $o).
% 1.91/0.54  thf(func_def_531, type, sK253: $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_532, type, sK254: $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_554, type, sK276: $i > $o).
% 1.91/0.54  thf(func_def_559, type, sK281: $i > $i > $i).
% 1.91/0.54  thf(func_def_569, type, sK291: $i > $o).
% 1.91/0.54  thf(func_def_571, type, sK293: ($i > $o) > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_572, type, sK294: ($i > $o) > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_573, type, sK295: $i > $o).
% 1.91/0.54  thf(func_def_577, type, sK299: $i > $i > $o).
% 1.91/0.54  thf(func_def_580, type, sK302: $i > $i).
% 1.91/0.54  thf(func_def_583, type, sK305: $i > $i > $o).
% 1.91/0.54  thf(func_def_585, type, sK307: ($i > $o) > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_586, type, sK308: ($i > $o) > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_587, type, sK309: $i > $o).
% 1.91/0.54  thf(func_def_588, type, sK310: $i > $o).
% 1.91/0.54  thf(func_def_590, type, sK312: $i > $o).
% 1.91/0.54  thf(func_def_603, type, sK325: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_610, type, sK332: $i > $i > $i).
% 1.91/0.54  thf(func_def_615, type, sK337: $i > $i > $o).
% 1.91/0.54  thf(func_def_622, type, sK344: $i > $i).
% 1.91/0.54  thf(func_def_636, type, sK358: $i > $i).
% 1.91/0.54  thf(func_def_651, type, sK373: $i > $i > $i).
% 1.91/0.54  thf(func_def_671, type, sK393: $i > $i > $o).
% 1.91/0.54  thf(func_def_674, type, sK396: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_675, type, sK397: $i > $o).
% 1.91/0.54  thf(func_def_684, type, sK406: $i > $o).
% 1.91/0.54  thf(func_def_687, type, sK409: ($i > $i) > $i > $i > $i).
% 1.91/0.54  thf(func_def_690, type, sK412: $i > $i).
% 1.91/0.54  thf(func_def_691, type, sK413: $i > $i > $i).
% 1.91/0.54  thf(func_def_698, type, sK420: $i > $i).
% 1.91/0.54  thf(func_def_701, type, sK423: $i > $i > ($i > $i) > $i).
% 1.91/0.54  thf(func_def_705, type, sK427: $i > $o).
% 1.91/0.54  thf(func_def_707, type, sK429: ($i > $o) > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_708, type, sK430: ($i > $o) > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_719, type, sK441: $i > $i > $o).
% 1.91/0.54  thf(func_def_727, type, sK449: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_728, type, sK450: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_729, type, sK451: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_730, type, sK452: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_733, type, sK455: $i > $i > $i).
% 1.91/0.54  thf(func_def_743, type, sK465: $i > $o).
% 1.91/0.54  thf(func_def_750, type, sK472: $i > $i > $i).
% 1.91/0.54  thf(func_def_751, type, sK473: $i > $i > $i).
% 1.91/0.54  thf(func_def_752, type, sK474: $i > $i > $i).
% 1.91/0.54  thf(func_def_753, type, sK475: $i > $i > $i).
% 1.91/0.54  thf(func_def_754, type, sK476: $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_755, type, sK477: $i > $i).
% 1.91/0.54  thf(func_def_756, type, sK478: $i > $i).
% 1.91/0.54  thf(func_def_757, type, sK479: $i > $i).
% 1.91/0.54  thf(func_def_758, type, sK480: $i > $i).
% 1.91/0.54  thf(func_def_759, type, sK481: $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_760, type, sK482: $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_761, type, sK483: $i > $i > $i).
% 1.91/0.54  thf(func_def_762, type, sK484: $i > $i > $i).
% 1.91/0.54  thf(func_def_763, type, sK485: $i > $i > $i).
% 1.91/0.54  thf(func_def_764, type, sK486: $i > $i).
% 1.91/0.54  thf(func_def_765, type, sK487: $i > $i > $i).
% 1.91/0.54  thf(func_def_767, type, sK489: $i > $i).
% 1.91/0.54  thf(func_def_768, type, sK490: $i > $i).
% 1.91/0.54  thf(func_def_769, type, sK491: ($i > $i) > $i > $i > $i).
% 1.91/0.54  thf(func_def_772, type, sK494: $i > $i).
% 1.91/0.54  thf(func_def_781, type, sK503: ($i > $i) > $i > $i > $i).
% 1.91/0.54  thf(func_def_784, type, sK506: $i > $i).
% 1.91/0.54  thf(func_def_791, type, sK513: $i > $o).
% 1.91/0.54  thf(func_def_793, type, sK515: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_794, type, sK516: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_799, type, sK521: $i > $o).
% 1.91/0.54  thf(func_def_800, type, sK522: ($i > $o) > $i > $i > $i).
% 1.91/0.54  thf(func_def_809, type, sK531: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_810, type, sK532: $i > $o).
% 1.91/0.54  thf(func_def_817, type, sK539: $i > $o).
% 1.91/0.54  thf(func_def_819, type, sK541: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_837, type, sK559: ($i > $o) > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_838, type, sK560: ($i > $o) > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_839, type, sK561: $i > $o).
% 1.91/0.54  thf(func_def_840, type, sK562: $i > $o).
% 1.91/0.54  thf(func_def_841, type, sK563: $i > ($i > $i) > $i > $i).
% 1.91/0.54  thf(func_def_843, type, sK565: $i > $i).
% 1.91/0.54  thf(func_def_866, type, sK588: $i > $i).
% 1.91/0.54  thf(func_def_867, type, sK589: ($i > $i) > $i > $i > $i).
% 1.91/0.54  thf(func_def_869, type, sK591: $i > $o).
% 1.91/0.54  thf(func_def_878, type, sK600: $i > $o).
% 1.91/0.54  thf(func_def_890, type, sK612: $i > $i > $o).
% 1.91/0.54  thf(func_def_896, type, sK618: $i > $o).
% 1.91/0.54  thf(func_def_898, type, sK620: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_899, type, sK621: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_901, type, sK623: $i > $o).
% 1.91/0.54  thf(func_def_903, type, sK625: ($i > $o) > $i > $i).
% 1.91/0.54  thf(func_def_924, type, sK646: $i > ($i > $o) > $i).
% 1.91/0.54  thf(func_def_925, type, sK647: $i > $o).
% 1.91/0.54  thf(func_def_932, type, sK654: $i > $i > $i).
% 1.91/0.54  thf(func_def_943, type, sK665: $i > $o).
% 1.91/0.54  thf(func_def_944, type, sK666: $i > $i).
% 1.91/0.54  thf(func_def_945, type, sK667: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_957, type, sK679: $i > $o).
% 1.91/0.54  thf(func_def_960, type, sK682: $i > $o).
% 1.91/0.54  thf(func_def_962, type, sK684: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_963, type, sK685: ($i > $o) > $i).
% 1.91/0.54  thf(func_def_968, type, sK690: $i > $i > $i > $i > $i).
% 1.91/0.54  thf(func_def_976, type, sK698: $i > $i > $i).
% 1.91/0.54  thf(func_def_986, type, sK708: $i > $o).
% 1.91/0.54  thf(func_def_992, type, ph714: !>[X0: $tType]:(X0)).
% 1.91/0.54  thf(f7048,plain,(
% 1.91/0.54    $false),
% 1.91/0.54    inference(avatar_sat_refutation,[],[f6041,f6096,f6930])).
% 1.91/0.54  thf(f6930,plain,(
% 1.91/0.54    ~spl713_12),
% 1.91/0.54    inference(avatar_split_clause,[],[f6929,f3569])).
% 1.91/0.54  thf(f3569,plain,(
% 1.91/0.54    spl713_12 <=> ($true = (subset @ sK357 @ sK356))),
% 1.91/0.54    introduced(avatar_definition,[new_symbols(naming,[spl713_12])])).
% 1.91/0.54  thf(f6929,plain,(
% 1.91/0.54    ($true != (subset @ sK357 @ sK356))),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f6928])).
% 1.91/0.54  thf(f6928,plain,(
% 1.91/0.54    ($true != (subset @ sK357 @ sK356)) | ($true != $true)),
% 1.91/0.54    inference(forward_demodulation,[],[f6927,f2654])).
% 1.91/0.54  thf(f2654,plain,(
% 1.91/0.54    (binintersectRsub = $true)),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f1536,plain,(
% 1.91/0.54    (cartprodsndpairEq = $true) & (exuEu = $true) & (dpsetconstrSub = $true) & (subsetI2 = $true) & (lamp = $true) & (cartprodsndin = $true) & (ex1I2 = $true) & (ex1E2 = $true) & (nonemptyI1 = $true) & (dsetconstrEL = $true) & (cartprodpairin = $true) & (binunionIR = $true) & (($true = (in @ sK355 @ (powerset @ sK356))) & (($true != (in @ (binintersect @ sK355 @ sK357) @ (powerset @ sK356))) & ((in @ sK357 @ (powerset @ sK356)) = $true))) & (binunionE = $true) & (omegaIndAx = $true) & (setunionE2 = $true) & (omegaSAx = $true) & (bs114d = $true) & (uniqinunit = $true) & (omega0Ax = $true) & (setextsub = $true) & (exuI2 = $true) & (setminusI = $true) & (powerset__Cong = $true) & (quantDeMorgan3 = $true) & (singletonsubset = $true) & (ap2p = $true) & (binintersectSubset5 = $true) & (symdiffIneg2 = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (subsetE = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (emptyset__Cong = $true) & (setminusELneg = $true) & (disjointsetsI1 = $true) & (in__Cong = $true) & (emptysetAx = $true) & (powersetE1 = $true) & (funcext2 = $true) & (powersetI1 = $true) & (setunionsingleton = $true) & (subbreln = $true) & (setadjoinE = $true) & (binintersectEL = $true) & (cartprodmempair = $true) & (notinsingleton = $true) & (dpsetconstrEL2 = $true) & (binunionLsub = $true) & (cartprodfstpairEq = $true) & (notequalI2 = $true) & (ubforcartprodlem3 = $true) & (exuE2 = $true) & (subsetTrans = $true) & (theeq = $true) & (symdiffE = $true) & (eta1 = $true) & (ifSingleton = $true) & (nonemptyI = $true) & (singletonprop = $true) & (exuE3u = $true) & (cartprodmempaircEq = $true) & (descr__Cong = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (kpairp = $true) & (upairequniteq = $true) & (setukpairinjR = $true) & (powersetsubset = $true) & (emptyE1 = $true) & (symdiffIneg1 = $true) & (setminusSubset2 = $true) & (setunionsingleton2 = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (subsetemptysetimpeq = $true) & (ksndpairEq = $true) & (setadjoinOr = $true) & (subPowSU = $true) & (powersetI = $true) & (exu__Cong = $true) & (setminusER = $true) & (lamProp = $true) & (cartprodfstin = $true) & (eta2 = $true) & (subsetRefl = $true) & (setadjoin__Cong = $true) & (sepSubset = $true) & (exuE1 = $true) & (setunion__Cong = $true) & (binintersectRsub = $true) & (singletonsuniq = $true) & (setukpairinjR2 = $true) & (setadjoinSub = $true) & (ubforcartprodlem2 = $true) & (brelnall1 = $true) & (emptysetE = $true) & (iftrue = $true) & (nonemptyE1 = $true) & (symdiffI2 = $true) & (setbeta = $true) & (prop2setI = $true) & (singletonsswitch = $true) & (iftrueProp1 = $true) & (funcext = $true) & (quantDeMorgan2 = $true) & (emptysetsubset = $true) & (setext = $true) & (funcImageSingleton = $true) & (iftrueProp2 = $true) & (cartprodpairmemEL = $true) & (iftrueorfalse = $true) & (binintersectLsub = $true) & (infuncsetfunc = $true) & (eqimpsubset2 = $true) & (binintersectSubset2 = $true) & (binunionEcases = $true) & (funcGraphProp1 = $true) & (setminusILneg = $true) & (upairset2IR = $true) & (setukpairinjL1 = $true) & (setukpairinjL2 = $true) & (eqinunit = $true) & (notsubsetI = $true) & (quantDeMorgan1 = $true) & (binintersectSubset4 = $true) & (setminusLsub = $true) & (ex1I = $true) & (binintersectI = $true) & (beta2 = $true) & (quantDeMorgan4 = $true) & (subset2powerset = $true) & (setunionsingleton1 = $true) & (cartprodpairmemER = $true) & (funcGraphProp4 = $true) & (powersetAx = $true) & (setadjoinIL = $true) & (inPowerset = $true) & (exuI1 = $true) & (setminusERneg = $true) & (prop2setE = $true) & (setunionE = $true) & (iffalse = $true) & (kfstsingleton = $true) & (app = $true) & (lam2lamEq = $true) & (notequalI1 = $true) & (secondinupair = $true) & (ksndsingleton = $true) & (setminusEL = $true) & (setukpairIR = $true) & (vacuousDall = $true) & (beta1 = $true) & (exuE3e = $true) & (kpairsurjEq = $true) & (theprop = $true) & (dpsetconstrER = $true) & (setukpairinjR1 = $true) & (binintersectER = $true) & (emptyI = $true) & (setukpairinjL = $true) & (upairsetIL = $true) & (singletoninpowerset = $true) & (eqimpsubset1 = $true) & (setadjoinSub2 = $true) & (setadjoinAx = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (wellorderingAx = $true) & (apProp = $true) & (noeltsimpempty = $true) & (kfstpairEq = $true) & (kpairiskpair = $true) & (brelnall2 = $true) & (setunionAx = $true) & (ifp = $true) & (symdiffI1 = $true) & (setadjoinIR = $true) & (binintersectSubset1 = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (upairinpowunion = $true) & (dsetconstrER = $true) & (subsetI1 = $true) & (lam2p = $true) & (exuI3 = $true) & (funcextLem = $true) & (notdexE = $true) & (dpsetconstrERa = $true) & (setminusSubset1 = $true) & (binunionRsub = $true) & (singletoninpowunion = $true) & (iffalseProp2 = $true) & (inCongP = $true) & (notdallE = $true) & (setukpairinjR12 = $true) & (binunionIL = $true) & (ex1E1 = $true) & (descrp = $true) & (funcGraphProp2 = $true) & (funcinfuncset = $true) & (sepInPowerset = $true) & (setukpairinjR11 = $true) & (setextAx = $true) & (ap2apEq2 = $true) & (setOfPairsIsBReln = $true) & (omega__Cong = $true) & (upairsetIR = $true) & (iffalseProp1 = $true) & (setminusIRneg = $true) & (upairsubunion = $true) & (eqbreln = $true) & (replAx = $true) & (setukpairIL = $true) & (foundationAx = $true) & (setunionI = $true) & (binintersectSubset3 = $true) & (setoftrueEq = $true) & (dpsetconstrEL1 = $true) & (ubforcartprodlem1 = $true) & (dpsetconstrI = $true) & (nonemptyImpWitness = $true) & (cartprodpairsurjEq = $true) & (upairset2E = $true)),
% 1.91/0.54    inference(skolemisation,[status(esa),new_symbols(skolem,[sK355,sK356,sK357])],[f863,f1535,f1534])).
% 1.91/0.54  thf(f1534,plain,(
% 1.91/0.54    ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ? [X2] : (($true != (in @ (binintersect @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1))))) => (($true = (in @ sK355 @ (powerset @ sK356))) & ? [X2] : (($true != (in @ (binintersect @ sK355 @ X2) @ (powerset @ sK356))) & ((in @ X2 @ (powerset @ sK356)) = $true)))),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f1535,plain,(
% 1.91/0.54    ? [X2] : (($true != (in @ (binintersect @ sK355 @ X2) @ (powerset @ sK356))) & ((in @ X2 @ (powerset @ sK356)) = $true)) => (($true != (in @ (binintersect @ sK355 @ sK357) @ (powerset @ sK356))) & ((in @ sK357 @ (powerset @ sK356)) = $true))),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f863,plain,(
% 1.91/0.54    (cartprodsndpairEq = $true) & (exuEu = $true) & (dpsetconstrSub = $true) & (subsetI2 = $true) & (lamp = $true) & (cartprodsndin = $true) & (ex1I2 = $true) & (ex1E2 = $true) & (nonemptyI1 = $true) & (dsetconstrEL = $true) & (cartprodpairin = $true) & (binunionIR = $true) & ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ? [X2] : (($true != (in @ (binintersect @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1))))) & (binunionE = $true) & (omegaIndAx = $true) & (setunionE2 = $true) & (omegaSAx = $true) & (bs114d = $true) & (uniqinunit = $true) & (omega0Ax = $true) & (setextsub = $true) & (exuI2 = $true) & (setminusI = $true) & (powerset__Cong = $true) & (quantDeMorgan3 = $true) & (singletonsubset = $true) & (ap2p = $true) & (binintersectSubset5 = $true) & (symdiffIneg2 = $true) & (subsetE2 = $true) & (emptysetimpfalse = $true) & (subsetE = $true) & (dsetconstrI = $true) & (upairsetE = $true) & (emptyset__Cong = $true) & (setminusELneg = $true) & (disjointsetsI1 = $true) & (in__Cong = $true) & (emptysetAx = $true) & (powersetE1 = $true) & (funcext2 = $true) & (powersetI1 = $true) & (setunionsingleton = $true) & (subbreln = $true) & (setadjoinE = $true) & (binintersectEL = $true) & (cartprodmempair = $true) & (notinsingleton = $true) & (dpsetconstrEL2 = $true) & (binunionLsub = $true) & (cartprodfstpairEq = $true) & (notequalI2 = $true) & (ubforcartprodlem3 = $true) & (exuE2 = $true) & (subsetTrans = $true) & (theeq = $true) & (symdiffE = $true) & (eta1 = $true) & (ifSingleton = $true) & (nonemptyI = $true) & (singletonprop = $true) & (exuE3u = $true) & (cartprodmempaircEq = $true) & (descr__Cong = $true) & (emptyInPowerset = $true) & (emptyinPowerset = $true) & (prop2set2propI = $true) & (dsetconstr__Cong = $true) & (kpairp = $true) & (upairequniteq = $true) & (setukpairinjR = $true) & (powersetsubset = $true) & (emptyE1 = $true) & (symdiffIneg1 = $true) & (setminusSubset2 = $true) & (setunionsingleton2 = $true) & (powersetE = $true) & (cartprodmempair1 = $true) & (subsetemptysetimpeq = $true) & (ksndpairEq = $true) & (setadjoinOr = $true) & (subPowSU = $true) & (powersetI = $true) & (exu__Cong = $true) & (setminusER = $true) & (lamProp = $true) & (cartprodfstin = $true) & (eta2 = $true) & (subsetRefl = $true) & (setadjoin__Cong = $true) & (sepSubset = $true) & (exuE1 = $true) & (setunion__Cong = $true) & (binintersectRsub = $true) & (singletonsuniq = $true) & (setukpairinjR2 = $true) & (setadjoinSub = $true) & (ubforcartprodlem2 = $true) & (brelnall1 = $true) & (emptysetE = $true) & (iftrue = $true) & (nonemptyE1 = $true) & (symdiffI2 = $true) & (setbeta = $true) & (prop2setI = $true) & (singletonsswitch = $true) & (iftrueProp1 = $true) & (funcext = $true) & (quantDeMorgan2 = $true) & (emptysetsubset = $true) & (setext = $true) & (funcImageSingleton = $true) & (iftrueProp2 = $true) & (cartprodpairmemEL = $true) & (iftrueorfalse = $true) & (binintersectLsub = $true) & (infuncsetfunc = $true) & (eqimpsubset2 = $true) & (binintersectSubset2 = $true) & (binunionEcases = $true) & (funcGraphProp1 = $true) & (setminusILneg = $true) & (upairset2IR = $true) & (setukpairinjL1 = $true) & (setukpairinjL2 = $true) & (eqinunit = $true) & (notsubsetI = $true) & (quantDeMorgan1 = $true) & (binintersectSubset4 = $true) & (setminusLsub = $true) & (ex1I = $true) & (binintersectI = $true) & (beta2 = $true) & (quantDeMorgan4 = $true) & (subset2powerset = $true) & (setunionsingleton1 = $true) & (cartprodpairmemER = $true) & (funcGraphProp4 = $true) & (powersetAx = $true) & (setadjoinIL = $true) & (inPowerset = $true) & (exuI1 = $true) & (setminusERneg = $true) & (prop2setE = $true) & (setunionE = $true) & (iffalse = $true) & (kfstsingleton = $true) & (app = $true) & (lam2lamEq = $true) & (notequalI1 = $true) & (secondinupair = $true) & (ksndsingleton = $true) & (setminusEL = $true) & (setukpairIR = $true) & (vacuousDall = $true) & (beta1 = $true) & (exuE3e = $true) & (kpairsurjEq = $true) & (theprop = $true) & (dpsetconstrER = $true) & (setukpairinjR1 = $true) & (binintersectER = $true) & (emptyI = $true) & (setukpairinjL = $true) & (upairsetIL = $true) & (singletoninpowerset = $true) & (eqimpsubset1 = $true) & (setadjoinSub2 = $true) & (setadjoinAx = $true) & (emptyinunitempty = $true) & (ap2apEq1 = $true) & (wellorderingAx = $true) & (apProp = $true) & (noeltsimpempty = $true) & (kfstpairEq = $true) & (kpairiskpair = $true) & (brelnall2 = $true) & (setunionAx = $true) & (ifp = $true) & (symdiffI1 = $true) & (setadjoinIR = $true) & (binintersectSubset1 = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (upairinpowunion = $true) & (dsetconstrER = $true) & (subsetI1 = $true) & (lam2p = $true) & (exuI3 = $true) & (funcextLem = $true) & (notdexE = $true) & (dpsetconstrERa = $true) & (setminusSubset1 = $true) & (binunionRsub = $true) & (singletoninpowunion = $true) & (iffalseProp2 = $true) & (inCongP = $true) & (notdallE = $true) & (setukpairinjR12 = $true) & (binunionIL = $true) & (ex1E1 = $true) & (descrp = $true) & (funcGraphProp2 = $true) & (funcinfuncset = $true) & (sepInPowerset = $true) & (setukpairinjR11 = $true) & (setextAx = $true) & (ap2apEq2 = $true) & (setOfPairsIsBReln = $true) & (omega__Cong = $true) & (upairsetIR = $true) & (iffalseProp1 = $true) & (setminusIRneg = $true) & (upairsubunion = $true) & (eqbreln = $true) & (replAx = $true) & (setukpairIL = $true) & (foundationAx = $true) & (setunionI = $true) & (binintersectSubset3 = $true) & (setoftrueEq = $true) & (dpsetconstrEL1 = $true) & (ubforcartprodlem1 = $true) & (dpsetconstrI = $true) & (nonemptyImpWitness = $true) & (cartprodpairsurjEq = $true) & (upairset2E = $true)),
% 1.91/0.54    inference(flattening,[],[f862])).
% 1.91/0.54  thf(f862,plain,(
% 1.91/0.54    (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ? [X2] : (($true != (in @ (binintersect @ X0 @ X2) @ (powerset @ X1))) & ($true = (in @ X2 @ (powerset @ X1))))) & (iftrueorfalse = $true)) & (iffalse = $true)) & (iftrue = $true)) & (theeq = $true)) & (ifp = $true)) & (ifSingleton = $true)) & (iftrueProp2 = $true)) & (iftrueProp1 = $true)) & (iffalseProp2 = $true)) & (iffalseProp1 = $true)) & (eta2 = $true)) & (beta2 = $true)) & (lam2lamEq = $true)) & (eta1 = $true)) & (beta1 = $true)) & (ap2apEq2 = $true)) & (ap2apEq1 = $true)) & (funcext2 = $true)) & (funcext = $true)) & (eqbreln = $true)) & (subbreln = $true)) & (funcGraphProp4 = $true)) & (funcextLem = $true)) & (funcGraphProp2 = $true)) & (funcGraphProp3 = $true)) & (funcGraphProp1 = $true)) & (ex1E2 = $true)) & (brelnall2 = $true)) & (brelnall1 = $true)) & (lam2p = $true)) & (lamp = $true)) & (lamProp = $true)) & (funcinfuncset = $true)) & (ap2p = $true)) & (infuncsetfunc = $true)) & (app = $true)) & (apProp = $true)) & (funcImageSingleton = $true)) & (dpsetconstrER = $true)) & (dpsetconstrEL2 = $true)) & (dpsetconstrEL1 = $true)) & (dpsetconstrERa = $true)) & (setOfPairsIsBReln = $true)) & (dpsetconstrSub = $true)) & (dpsetconstrI = $true)) & (cartprodpairsurjEq = $true)) & (cartprodsndpairEq = $true)) & (cartprodfstpairEq = $true)) & (cartprodmempaircEq = $true)) & (cartprodpairmemER = $true)) & (cartprodpairmemEL = $true)) & (cartprodsndin = $true)) & (kpairsurjEq = $true)) & (ksndpairEq = $true)) & (ksndsingleton = $true)) & (setukpairinjR = $true)) & (setukpairinjR2 = $true)) & (upairequniteq = $true)) & (setukpairinjR1 = $true)) & (setukpairinjR12 = $true)) & (setukpairinjR11 = $true)) & (setukpairinjL = $true)) & (setukpairinjL2 = $true)) & (cartprodfstin = $true)) & (kfstpairEq = $true)) & (theprop = $true)) & (kfstsingleton = $true)) & (setukpairinjL1 = $true)) & (singletonsuniq = $true)) & (ex1I2 = $true)) & (ex1I = $true)) & (ex1E1 = $true)) & (singletonprop = $true)) & (setunionsingleton = $true)) & (setunionsingleton2 = $true)) & (setunionsingleton1 = $true)) & (setunionE2 = $true)) & (cartprodmempair = $true)) & (cartprodmempair1 = $true)) & (cartprodpairin = $true)) & (ubforcartprodlem3 = $true)) & (ubforcartprodlem2 = $true)) & (ubforcartprodlem1 = $true)) & (upairinpowunion = $true)) & (upairsubunion = $true)) & (upairset2E = $true)) & (singletoninpowunion = $true)) & (singletoninpowerset = $true)) & (singletonsubset = $true)) & (kpairp = $true)) & (kpairiskpair = $true)) & (setukpairIR = $true)) & (setukpairIL = $true)) & (secondinupair = $true)) & (symdiffIneg2 = $true)) & (symdiffIneg1 = $true)) & (symdiffI2 = $true)) & (symdiffI1 = $true)) & (symdiffE = $true)) & (setminusSubset1 = $true)) & (setminusLsub = $true)) & (setminusIRneg = $true)) & (setminusILneg = $true)) & (setminusELneg = $true)) & (setminusERneg = $true)) & (setminusSubset2 = $true)) & (setminusER = $true)) & (setminusEL = $true)) & (setminusI = $true)) & (bs114d = $true)) & (binintersectSubset1 = $true)) & (binintersectSubset4 = $true)) & (binintersectRsub = $true)) & (disjointsetsI1 = $true)) & (binintersectER = $true)) & (binintersectSubset3 = $true)) & (binintersectSubset2 = $true)) & (binintersectLsub = $true)) & (binintersectEL = $true)) & (binintersectSubset5 = $true)) & (binintersectI = $true)) & (binunionRsub = $true)) & (binunionLsub = $true)) & (binunionE = $true)) & (binunionEcases = $true)) & (binunionIR = $true)) & (upairset2IR = $true)) & (binunionIL = $true)) & (sepSubset = $true)) & (sepInPowerset = $true)) & (powersetsubset = $true)) & (inPowerset = $true)) & (powersetE1 = $true)) & (powersetI1 = $true)) & (subsetemptysetimpeq = $true)) & (setextsub = $true)) & (subset2powerset = $true)) & (setadjoinSub2 = $true)) & (setadjoinSub = $true)) & (subsetTrans = $true)) & (subsetRefl = $true)) & (notequalI2 = $true)) & (notequalI1 = $true)) & (notsubsetI = $true)) & (subsetE2 = $true)) & (subsetE = $true)) & (emptysetsubset = $true)) & (subsetI2 = $true)) & (eqimpsubset1 = $true)) & (eqimpsubset2 = $true)) & (subsetI1 = $true)) & (dsetconstr__Cong = $true)) & (descr__Cong = $true)) & (exuEu = $true)) & (omega__Cong = $true)) & (setunion__Cong = $true)) & (powerset__Cong = $true)) & (setadjoin__Cong = $true)) & (emptyset__Cong = $true)) & (exu__Cong = $true)) & (exuE3u = $true)) & (in__Cong = $true)) & (inCongP = $true)) & (exuI2 = $true)) & (exuI3 = $true)) & (exuI1 = $true)) & (notdallE = $true)) & (notdexE = $true)) & (prop2set2propI = $true)) & (prop2setI = $true)) & (quantDeMorgan4 = $true)) & (quantDeMorgan3 = $true)) & (quantDeMorgan2 = $true)) & (quantDeMorgan1 = $true)) & (vacuousDall = $true)) & (emptyE1 = $true)) & (upairsetIR = $true)) & (upairsetIL = $true)) & (upairsetE = $true)) & (singletonsswitch = $true)) & (eqinunit = $true)) & (notinsingleton = $true)) & (uniqinunit = $true)) & (nonemptyImpWitness = $true)) & (exuE2 = $true)) & (subPowSU = $true)) & (setunionE = $true)) & (setunionI = $true)) & (powersetE = $true)) & (emptyInPowerset = $true)) & (emptyinPowerset = $true)) & (powersetI = $true)) & (setoftrueEq = $true)) & (setadjoinOr = $true)) & (setadjoinE = $true)) & (setadjoinIR = $true)) & (emptyinunitempty = $true)) & (setadjoinIL = $true)) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 1.91/0.54    inference(ennf_transformation,[],[f317])).
% 1.91/0.54  thf(f317,plain,(
% 1.91/0.54    ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ((setadjoinIL = $true) => ((emptyinunitempty = $true) => ((setadjoinIR = $true) => ((setadjoinE = $true) => ((setadjoinOr = $true) => ((setoftrueEq = $true) => ((powersetI = $true) => ((emptyinPowerset = $true) => ((emptyInPowerset = $true) => ((powersetE = $true) => ((setunionI = $true) => ((setunionE = $true) => ((subPowSU = $true) => ((exuE2 = $true) => ((nonemptyImpWitness = $true) => ((uniqinunit = $true) => ((notinsingleton = $true) => ((eqinunit = $true) => ((singletonsswitch = $true) => ((upairsetE = $true) => ((upairsetIL = $true) => ((upairsetIR = $true) => ((emptyE1 = $true) => ((vacuousDall = $true) => ((quantDeMorgan1 = $true) => ((quantDeMorgan2 = $true) => ((quantDeMorgan3 = $true) => ((quantDeMorgan4 = $true) => ((prop2setI = $true) => ((prop2set2propI = $true) => ((notdexE = $true) => ((notdallE = $true) => ((exuI1 = $true) => ((exuI3 = $true) => ((exuI2 = $true) => ((inCongP = $true) => ((in__Cong = $true) => ((exuE3u = $true) => ((exu__Cong = $true) => ((emptyset__Cong = $true) => ((setadjoin__Cong = $true) => ((powerset__Cong = $true) => ((setunion__Cong = $true) => ((omega__Cong = $true) => ((exuEu = $true) => ((descr__Cong = $true) => ((dsetconstr__Cong = $true) => ((subsetI1 = $true) => ((eqimpsubset2 = $true) => ((eqimpsubset1 = $true) => ((subsetI2 = $true) => ((emptysetsubset = $true) => ((subsetE = $true) => ((subsetE2 = $true) => ((notsubsetI = $true) => ((notequalI1 = $true) => ((notequalI2 = $true) => ((subsetRefl = $true) => ((subsetTrans = $true) => ((setadjoinSub = $true) => ((setadjoinSub2 = $true) => ((subset2powerset = $true) => ((setextsub = $true) => ((subsetemptysetimpeq = $true) => ((powersetI1 = $true) => ((powersetE1 = $true) => ((inPowerset = $true) => ((powersetsubset = $true) => ((sepInPowerset = $true) => ((sepSubset = $true) => ((binunionIL = $true) => ((upairset2IR = $true) => ((binunionIR = $true) => ((binunionEcases = $true) => ((binunionE = $true) => ((binunionLsub = $true) => ((binunionRsub = $true) => ((binintersectI = $true) => ((binintersectSubset5 = $true) => ((binintersectEL = $true) => ((binintersectLsub = $true) => ((binintersectSubset2 = $true) => ((binintersectSubset3 = $true) => ((binintersectER = $true) => ((disjointsetsI1 = $true) => ((binintersectRsub = $true) => ((binintersectSubset4 = $true) => ((binintersectSubset1 = $true) => ((bs114d = $true) => ((setminusI = $true) => ((setminusEL = $true) => ((setminusER = $true) => ((setminusSubset2 = $true) => ((setminusERneg = $true) => ((setminusELneg = $true) => ((setminusILneg = $true) => ((setminusIRneg = $true) => ((setminusLsub = $true) => ((setminusSubset1 = $true) => ((symdiffE = $true) => ((symdiffI1 = $true) => ((symdiffI2 = $true) => ((symdiffIneg1 = $true) => ((symdiffIneg2 = $true) => ((secondinupair = $true) => ((setukpairIL = $true) => ((setukpairIR = $true) => ((kpairiskpair = $true) => ((kpairp = $true) => ((singletonsubset = $true) => ((singletoninpowerset = $true) => ((singletoninpowunion = $true) => ((upairset2E = $true) => ((upairsubunion = $true) => ((upairinpowunion = $true) => ((ubforcartprodlem1 = $true) => ((ubforcartprodlem2 = $true) => ((ubforcartprodlem3 = $true) => ((cartprodpairin = $true) => ((cartprodmempair1 = $true) => ((cartprodmempair = $true) => ((setunionE2 = $true) => ((setunionsingleton1 = $true) => ((setunionsingleton2 = $true) => ((setunionsingleton = $true) => ((singletonprop = $true) => ((ex1E1 = $true) => ((ex1I = $true) => ((ex1I2 = $true) => ((singletonsuniq = $true) => ((setukpairinjL1 = $true) => ((kfstsingleton = $true) => ((theprop = $true) => ((kfstpairEq = $true) => ((cartprodfstin = $true) => ((setukpairinjL2 = $true) => ((setukpairinjL = $true) => ((setukpairinjR11 = $true) => ((setukpairinjR12 = $true) => ((setukpairinjR1 = $true) => ((upairequniteq = $true) => ((setukpairinjR2 = $true) => ((setukpairinjR = $true) => ((ksndsingleton = $true) => ((ksndpairEq = $true) => ((kpairsurjEq = $true) => ((cartprodsndin = $true) => ((cartprodpairmemEL = $true) => ((cartprodpairmemER = $true) => ((cartprodmempaircEq = $true) => ((cartprodfstpairEq = $true) => ((cartprodsndpairEq = $true) => ((cartprodpairsurjEq = $true) => ((dpsetconstrI = $true) => ((dpsetconstrSub = $true) => ((setOfPairsIsBReln = $true) => ((dpsetconstrERa = $true) => ((dpsetconstrEL1 = $true) => ((dpsetconstrEL2 = $true) => ((dpsetconstrER = $true) => ((funcImageSingleton = $true) => ((apProp = $true) => ((app = $true) => ((infuncsetfunc = $true) => ((ap2p = $true) => ((funcinfuncset = $true) => ((lamProp = $true) => ((lamp = $true) => ((lam2p = $true) => ((brelnall1 = $true) => ((brelnall2 = $true) => ((ex1E2 = $true) => ((funcGraphProp1 = $true) => ((funcGraphProp3 = $true) => ((funcGraphProp2 = $true) => ((funcextLem = $true) => ((funcGraphProp4 = $true) => ((subbreln = $true) => ((eqbreln = $true) => ((funcext = $true) => ((funcext2 = $true) => ((ap2apEq1 = $true) => ((ap2apEq2 = $true) => ((beta1 = $true) => ((eta1 = $true) => ((lam2lamEq = $true) => ((beta2 = $true) => ((eta2 = $true) => ((iffalseProp1 = $true) => ((iffalseProp2 = $true) => ((iftrueProp1 = $true) => ((iftrueProp2 = $true) => ((ifSingleton = $true) => ((ifp = $true) => ((theeq = $true) => ((iftrue = $true) => ((iffalse = $true) => ((iftrueorfalse = $true) => ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ! [X2] : (($true = (in @ X2 @ (powerset @ X1))) => ($true = (in @ (binintersect @ X0 @ X2) @ (powerset @ X1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.91/0.54    inference(fool_elimination,[],[f316])).
% 1.91/0.54  thf(f316,plain,(
% 1.91/0.54    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => ! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => ! [X2] : ((in @ X2 @ (powerset @ X1)) => (in @ (binintersect @ X0 @ X2) @ (powerset @ X1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.91/0.54    inference(rectify,[],[f232])).
% 1.91/0.54  thf(f232,negated_conjecture,(
% 1.91/0.54    ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (binintersect @ X11 @ X16) @ (powerset @ X3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.91/0.54    inference(negated_conjecture,[],[f231])).
% 1.91/0.54  thf(f231,conjecture,(
% 1.91/0.54    setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => (setadjoinIL => (emptyinunitempty => (setadjoinIR => (setadjoinE => (setadjoinOr => (setoftrueEq => (powersetI => (emptyinPowerset => (emptyInPowerset => (powersetE => (setunionI => (setunionE => (subPowSU => (exuE2 => (nonemptyImpWitness => (uniqinunit => (notinsingleton => (eqinunit => (singletonsswitch => (upairsetE => (upairsetIL => (upairsetIR => (emptyE1 => (vacuousDall => (quantDeMorgan1 => (quantDeMorgan2 => (quantDeMorgan3 => (quantDeMorgan4 => (prop2setI => (prop2set2propI => (notdexE => (notdallE => (exuI1 => (exuI3 => (exuI2 => (inCongP => (in__Cong => (exuE3u => (exu__Cong => (emptyset__Cong => (setadjoin__Cong => (powerset__Cong => (setunion__Cong => (omega__Cong => (exuEu => (descr__Cong => (dsetconstr__Cong => (subsetI1 => (eqimpsubset2 => (eqimpsubset1 => (subsetI2 => (emptysetsubset => (subsetE => (subsetE2 => (notsubsetI => (notequalI1 => (notequalI2 => (subsetRefl => (subsetTrans => (setadjoinSub => (setadjoinSub2 => (subset2powerset => (setextsub => (subsetemptysetimpeq => (powersetI1 => (powersetE1 => (inPowerset => (powersetsubset => (sepInPowerset => (sepSubset => (binunionIL => (upairset2IR => (binunionIR => (binunionEcases => (binunionE => (binunionLsub => (binunionRsub => (binintersectI => (binintersectSubset5 => (binintersectEL => (binintersectLsub => (binintersectSubset2 => (binintersectSubset3 => (binintersectER => (disjointsetsI1 => (binintersectRsub => (binintersectSubset4 => (binintersectSubset1 => (bs114d => (setminusI => (setminusEL => (setminusER => (setminusSubset2 => (setminusERneg => (setminusELneg => (setminusILneg => (setminusIRneg => (setminusLsub => (setminusSubset1 => (symdiffE => (symdiffI1 => (symdiffI2 => (symdiffIneg1 => (symdiffIneg2 => (secondinupair => (setukpairIL => (setukpairIR => (kpairiskpair => (kpairp => (singletonsubset => (singletoninpowerset => (singletoninpowunion => (upairset2E => (upairsubunion => (upairinpowunion => (ubforcartprodlem1 => (ubforcartprodlem2 => (ubforcartprodlem3 => (cartprodpairin => (cartprodmempair1 => (cartprodmempair => (setunionE2 => (setunionsingleton1 => (setunionsingleton2 => (setunionsingleton => (singletonprop => (ex1E1 => (ex1I => (ex1I2 => (singletonsuniq => (setukpairinjL1 => (kfstsingleton => (theprop => (kfstpairEq => (cartprodfstin => (setukpairinjL2 => (setukpairinjL => (setukpairinjR11 => (setukpairinjR12 => (setukpairinjR1 => (upairequniteq => (setukpairinjR2 => (setukpairinjR => (ksndsingleton => (ksndpairEq => (kpairsurjEq => (cartprodsndin => (cartprodpairmemEL => (cartprodpairmemER => (cartprodmempaircEq => (cartprodfstpairEq => (cartprodsndpairEq => (cartprodpairsurjEq => (dpsetconstrI => (dpsetconstrSub => (setOfPairsIsBReln => (dpsetconstrERa => (dpsetconstrEL1 => (dpsetconstrEL2 => (dpsetconstrER => (funcImageSingleton => (apProp => (app => (infuncsetfunc => (ap2p => (funcinfuncset => (lamProp => (lamp => (lam2p => (brelnall1 => (brelnall2 => (ex1E2 => (funcGraphProp1 => (funcGraphProp3 => (funcGraphProp2 => (funcextLem => (funcGraphProp4 => (subbreln => (eqbreln => (funcext => (funcext2 => (ap2apEq1 => (ap2apEq2 => (beta1 => (eta1 => (lam2lamEq => (beta2 => (eta2 => (iffalseProp1 => (iffalseProp2 => (iftrueProp1 => (iftrueProp2 => (ifSingleton => (ifp => (theeq => (iftrue => (iffalse => (iftrueorfalse => ! [X11,X3] : ((in @ X11 @ (powerset @ X3)) => ! [X16] : ((in @ X16 @ (powerset @ X3)) => (in @ (binintersect @ X11 @ X16) @ (powerset @ X3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 1.91/0.54    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectT_lem)).
% 1.91/0.54  thf(f6927,plain,(
% 1.91/0.54    ($true != (subset @ sK357 @ sK356)) | (binintersectRsub != $true)),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f6867])).
% 1.91/0.54  thf(f6867,plain,(
% 1.91/0.54    (binintersectRsub != $true) | ($true != (subset @ sK357 @ sK356)) | ($true != $true)),
% 1.91/0.54    inference(superposition,[],[f3554,f2882])).
% 1.91/0.54  thf(f2882,plain,(
% 1.91/0.54    ( ! [X2 : $i,X3 : $i] : (((subset @ (binintersect @ X3 @ X2) @ X2) = $true) | (binintersectRsub != $true)) )),
% 1.91/0.54    inference(cnf_transformation,[],[f1704])).
% 1.91/0.54  thf(f1704,plain,(
% 1.91/0.54    ((binintersectRsub = $true) | ((subset @ (binintersect @ sK469 @ sK468) @ sK468) != $true)) & (! [X2,X3] : ((subset @ (binintersect @ X3 @ X2) @ X2) = $true) | (binintersectRsub != $true))),
% 1.91/0.54    inference(skolemisation,[status(esa),new_symbols(skolem,[sK468,sK469])],[f1702,f1703])).
% 1.91/0.54  thf(f1703,plain,(
% 1.91/0.54    ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X0)) => ((subset @ (binintersect @ sK469 @ sK468) @ sK468) != $true)),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f1702,plain,(
% 1.91/0.54    ((binintersectRsub = $true) | ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X0))) & (! [X2,X3] : ((subset @ (binintersect @ X3 @ X2) @ X2) = $true) | (binintersectRsub != $true))),
% 1.91/0.54    inference(rectify,[],[f1701])).
% 1.91/0.54  thf(f1701,plain,(
% 1.91/0.54    ((binintersectRsub = $true) | ? [X0,X1] : ($true != (subset @ (binintersect @ X1 @ X0) @ X0))) & (! [X0,X1] : ($true = (subset @ (binintersect @ X1 @ X0) @ X0)) | (binintersectRsub != $true))),
% 1.91/0.54    inference(nnf_transformation,[],[f504])).
% 1.91/0.54  thf(f504,plain,(
% 1.91/0.54    (binintersectRsub = $true) <=> ! [X0,X1] : ($true = (subset @ (binintersect @ X1 @ X0) @ X0))),
% 1.91/0.54    inference(fool_elimination,[],[f503])).
% 1.91/0.54  thf(f503,plain,(
% 1.91/0.54    (! [X0,X1] : (subset @ (binintersect @ X1 @ X0) @ X0) = binintersectRsub)),
% 1.91/0.54    inference(rectify,[],[f116])).
% 1.91/0.54  thf(f116,axiom,(
% 1.91/0.54    (! [X4,X3] : (subset @ (binintersect @ X3 @ X4) @ X4) = binintersectRsub)),
% 1.91/0.54    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',binintersectRsub)).
% 1.91/0.54  thf(f3554,plain,(
% 1.91/0.54    ( ! [X0 : $i] : (($true != (subset @ (binintersect @ sK355 @ sK357) @ X0)) | ((subset @ X0 @ sK356) != $true)) )),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f3553])).
% 1.91/0.54  thf(f3553,plain,(
% 1.91/0.54    ( ! [X0 : $i] : (((subset @ X0 @ sK356) != $true) | ($true != $true) | ($true != (subset @ (binintersect @ sK355 @ sK357) @ X0))) )),
% 1.91/0.54    inference(forward_demodulation,[],[f3552,f2693])).
% 1.91/0.54  thf(f2693,plain,(
% 1.91/0.54    (subsetTrans = $true)),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f3552,plain,(
% 1.91/0.54    ( ! [X0 : $i] : (((subset @ X0 @ sK356) != $true) | ($true != (subset @ (binintersect @ sK355 @ sK357) @ X0)) | (subsetTrans != $true)) )),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f3545])).
% 1.91/0.54  thf(f3545,plain,(
% 1.91/0.54    ( ! [X0 : $i] : (($true != $true) | ($true != (subset @ (binintersect @ sK355 @ sK357) @ X0)) | (subsetTrans != $true) | ((subset @ X0 @ sK356) != $true)) )),
% 1.91/0.54    inference(superposition,[],[f3454,f2801])).
% 1.91/0.54  thf(f2801,plain,(
% 1.91/0.54    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (subset @ X2 @ X1)) | (subsetTrans != $true) | ((subset @ X0 @ X1) != $true) | ($true != (subset @ X2 @ X0))) )),
% 1.91/0.54    inference(cnf_transformation,[],[f1603])).
% 1.91/0.54  thf(f1603,plain,(
% 1.91/0.54    (! [X0,X1,X2] : (($true = (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X0 @ X1) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | (($true != (subset @ sK402 @ sK401)) & ($true = (subset @ sK402 @ sK400)) & ($true = (subset @ sK400 @ sK401))))),
% 1.91/0.54    inference(skolemisation,[status(esa),new_symbols(skolem,[sK400,sK401,sK402])],[f1601,f1602])).
% 1.91/0.54  thf(f1602,plain,(
% 1.91/0.54    ? [X3,X4,X5] : (((subset @ X5 @ X4) != $true) & ((subset @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true)) => (($true != (subset @ sK402 @ sK401)) & ($true = (subset @ sK402 @ sK400)) & ($true = (subset @ sK400 @ sK401)))),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f1601,plain,(
% 1.91/0.54    (! [X0,X1,X2] : (($true = (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X0 @ X1) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X3,X4,X5] : (((subset @ X5 @ X4) != $true) & ((subset @ X5 @ X3) = $true) & ((subset @ X3 @ X4) = $true)))),
% 1.91/0.54    inference(rectify,[],[f1600])).
% 1.91/0.54  thf(f1600,plain,(
% 1.91/0.54    (! [X0,X1,X2] : (($true = (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X0 @ X1) != $true)) | (subsetTrans != $true)) & ((subsetTrans = $true) | ? [X0,X1,X2] : (($true != (subset @ X2 @ X1)) & ($true = (subset @ X2 @ X0)) & ((subset @ X0 @ X1) = $true)))),
% 1.91/0.54    inference(nnf_transformation,[],[f868])).
% 1.91/0.54  thf(f868,plain,(
% 1.91/0.54    ! [X0,X1,X2] : (($true = (subset @ X2 @ X1)) | ($true != (subset @ X2 @ X0)) | ((subset @ X0 @ X1) != $true)) <=> (subsetTrans = $true)),
% 1.91/0.54    inference(flattening,[],[f867])).
% 1.91/0.54  thf(f867,plain,(
% 1.91/0.54    (subsetTrans = $true) <=> ! [X0,X1,X2] : ((($true = (subset @ X2 @ X1)) | ((subset @ X0 @ X1) != $true)) | ($true != (subset @ X2 @ X0)))),
% 1.91/0.54    inference(ennf_transformation,[],[f667])).
% 1.91/0.54  thf(f667,plain,(
% 1.91/0.54    (subsetTrans = $true) <=> ! [X0,X1,X2] : (($true = (subset @ X2 @ X0)) => (((subset @ X0 @ X1) = $true) => ($true = (subset @ X2 @ X1))))),
% 1.91/0.54    inference(fool_elimination,[],[f666])).
% 1.91/0.54  thf(f666,plain,(
% 1.91/0.54    (subsetTrans = ! [X0,X1,X2] : ((subset @ X2 @ X0) => ((subset @ X0 @ X1) => (subset @ X2 @ X1))))),
% 1.91/0.54    inference(rectify,[],[f89])).
% 1.91/0.54  thf(f89,axiom,(
% 1.91/0.54    (subsetTrans = ! [X4,X5,X3] : ((subset @ X3 @ X4) => ((subset @ X4 @ X5) => (subset @ X3 @ X5))))),
% 1.91/0.54    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsetTrans)).
% 1.91/0.54  thf(f3454,plain,(
% 1.91/0.54    ($true != (subset @ (binintersect @ sK355 @ sK357) @ sK356))),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f3453])).
% 1.91/0.54  thf(f3453,plain,(
% 1.91/0.54    ($true != $true) | ($true != (subset @ (binintersect @ sK355 @ sK357) @ sK356))),
% 1.91/0.54    inference(forward_demodulation,[],[f3452,f2613])).
% 1.91/0.54  thf(f2613,plain,(
% 1.91/0.54    (subset2powerset = $true)),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f3452,plain,(
% 1.91/0.54    ($true != (subset @ (binintersect @ sK355 @ sK357) @ sK356)) | (subset2powerset != $true)),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f3440])).
% 1.91/0.54  thf(f3440,plain,(
% 1.91/0.54    ($true != $true) | ($true != (subset @ (binintersect @ sK355 @ sK357) @ sK356)) | (subset2powerset != $true)),
% 1.91/0.54    inference(superposition,[],[f2736,f2886])).
% 1.91/0.54  thf(f2886,plain,(
% 1.91/0.54    ( ! [X0 : $i,X1 : $i] : (((in @ X1 @ (powerset @ X0)) = $true) | ($true != (subset @ X1 @ X0)) | (subset2powerset != $true)) )),
% 1.91/0.54    inference(cnf_transformation,[],[f1708])).
% 1.91/0.54  thf(f1708,plain,(
% 1.91/0.54    (! [X0,X1] : (($true != (subset @ X1 @ X0)) | ((in @ X1 @ (powerset @ X0)) = $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | (($true = (subset @ sK471 @ sK470)) & ((in @ sK471 @ (powerset @ sK470)) != $true)))),
% 1.91/0.54    inference(skolemisation,[status(esa),new_symbols(skolem,[sK470,sK471])],[f1706,f1707])).
% 1.91/0.54  thf(f1707,plain,(
% 1.91/0.54    ? [X2,X3] : (($true = (subset @ X3 @ X2)) & ($true != (in @ X3 @ (powerset @ X2)))) => (($true = (subset @ sK471 @ sK470)) & ((in @ sK471 @ (powerset @ sK470)) != $true))),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f1706,plain,(
% 1.91/0.54    (! [X0,X1] : (($true != (subset @ X1 @ X0)) | ((in @ X1 @ (powerset @ X0)) = $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X2,X3] : (($true = (subset @ X3 @ X2)) & ($true != (in @ X3 @ (powerset @ X2)))))),
% 1.91/0.54    inference(rectify,[],[f1705])).
% 1.91/0.54  thf(f1705,plain,(
% 1.91/0.54    (! [X0,X1] : (($true != (subset @ X1 @ X0)) | ((in @ X1 @ (powerset @ X0)) = $true)) | (subset2powerset != $true)) & ((subset2powerset = $true) | ? [X0,X1] : (($true = (subset @ X1 @ X0)) & ((in @ X1 @ (powerset @ X0)) != $true)))),
% 1.91/0.54    inference(nnf_transformation,[],[f900])).
% 1.91/0.54  thf(f900,plain,(
% 1.91/0.54    ! [X0,X1] : (($true != (subset @ X1 @ X0)) | ((in @ X1 @ (powerset @ X0)) = $true)) <=> (subset2powerset = $true)),
% 1.91/0.54    inference(ennf_transformation,[],[f455])).
% 1.91/0.54  thf(f455,plain,(
% 1.91/0.54    ! [X0,X1] : (($true = (subset @ X1 @ X0)) => ((in @ X1 @ (powerset @ X0)) = $true)) <=> (subset2powerset = $true)),
% 1.91/0.54    inference(fool_elimination,[],[f454])).
% 1.91/0.54  thf(f454,plain,(
% 1.91/0.54    (! [X0,X1] : ((subset @ X1 @ X0) => (in @ X1 @ (powerset @ X0))) = subset2powerset)),
% 1.91/0.54    inference(rectify,[],[f92])).
% 1.91/0.54  thf(f92,axiom,(
% 1.91/0.54    (! [X4,X3] : ((subset @ X3 @ X4) => (in @ X3 @ (powerset @ X4))) = subset2powerset)),
% 1.91/0.54    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset2powerset)).
% 1.91/0.54  thf(f2736,plain,(
% 1.91/0.54    ($true != (in @ (binintersect @ sK355 @ sK357) @ (powerset @ sK356)))),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f6096,plain,(
% 1.91/0.54    spl713_12 | ~spl713_5),
% 1.91/0.54    inference(avatar_split_clause,[],[f6095,f3464,f3569])).
% 1.91/0.54  thf(f3464,plain,(
% 1.91/0.54    spl713_5 <=> ((in @ sK357 @ (powerset @ sK356)) = $true)),
% 1.91/0.54    introduced(avatar_definition,[new_symbols(naming,[spl713_5])])).
% 1.91/0.54  thf(f6095,plain,(
% 1.91/0.54    ($true = (subset @ sK357 @ sK356)) | ~spl713_5),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f6094])).
% 1.91/0.54  thf(f6094,plain,(
% 1.91/0.54    ($true = (subset @ sK357 @ sK356)) | ($true != $true) | ~spl713_5),
% 1.91/0.54    inference(forward_demodulation,[],[f6080,f2708])).
% 1.91/0.54  thf(f2708,plain,(
% 1.91/0.54    (powersetE1 = $true)),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f6080,plain,(
% 1.91/0.54    (powersetE1 != $true) | ($true = (subset @ sK357 @ sK356)) | ~spl713_5),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f6077])).
% 1.91/0.54  thf(f6077,plain,(
% 1.91/0.54    (powersetE1 != $true) | ($true = (subset @ sK357 @ sK356)) | ($true != $true) | ~spl713_5),
% 1.91/0.54    inference(superposition,[],[f2107,f3465])).
% 1.91/0.54  thf(f3465,plain,(
% 1.91/0.54    ((in @ sK357 @ (powerset @ sK356)) = $true) | ~spl713_5),
% 1.91/0.54    inference(avatar_component_clause,[],[f3464])).
% 1.91/0.54  thf(f2107,plain,(
% 1.91/0.54    ( ! [X2 : $i,X3 : $i] : (($true != (in @ X2 @ (powerset @ X3))) | ($true = (subset @ X2 @ X3)) | (powersetE1 != $true)) )),
% 1.91/0.54    inference(cnf_transformation,[],[f1041])).
% 1.91/0.54  thf(f1041,plain,(
% 1.91/0.54    ((powersetE1 = $true) | (($true = (in @ sK40 @ (powerset @ sK41))) & ($true != (subset @ sK40 @ sK41)))) & (! [X2,X3] : (($true != (in @ X2 @ (powerset @ X3))) | ($true = (subset @ X2 @ X3))) | (powersetE1 != $true))),
% 1.91/0.54    inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41])],[f1039,f1040])).
% 1.91/0.54  thf(f1040,plain,(
% 1.91/0.54    ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ((subset @ X0 @ X1) != $true)) => (($true = (in @ sK40 @ (powerset @ sK41))) & ($true != (subset @ sK40 @ sK41)))),
% 1.91/0.54    introduced(choice_axiom,[])).
% 1.91/0.54  thf(f1039,plain,(
% 1.91/0.54    ((powersetE1 = $true) | ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ((subset @ X0 @ X1) != $true))) & (! [X2,X3] : (($true != (in @ X2 @ (powerset @ X3))) | ($true = (subset @ X2 @ X3))) | (powersetE1 != $true))),
% 1.91/0.54    inference(rectify,[],[f1038])).
% 1.91/0.54  thf(f1038,plain,(
% 1.91/0.54    ((powersetE1 = $true) | ? [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) & ((subset @ X0 @ X1) != $true))) & (! [X0,X1] : (($true != (in @ X0 @ (powerset @ X1))) | ((subset @ X0 @ X1) = $true)) | (powersetE1 != $true))),
% 1.91/0.54    inference(nnf_transformation,[],[f861])).
% 1.91/0.54  thf(f861,plain,(
% 1.91/0.54    (powersetE1 = $true) <=> ! [X0,X1] : (($true != (in @ X0 @ (powerset @ X1))) | ((subset @ X0 @ X1) = $true))),
% 1.91/0.54    inference(ennf_transformation,[],[f609])).
% 1.91/0.54  thf(f609,plain,(
% 1.91/0.54    ! [X0,X1] : (($true = (in @ X0 @ (powerset @ X1))) => ((subset @ X0 @ X1) = $true)) <=> (powersetE1 = $true)),
% 1.91/0.54    inference(fool_elimination,[],[f608])).
% 1.91/0.54  thf(f608,plain,(
% 1.91/0.54    (! [X0,X1] : ((in @ X0 @ (powerset @ X1)) => (subset @ X0 @ X1)) = powersetE1)),
% 1.91/0.54    inference(rectify,[],[f96])).
% 1.91/0.54  thf(f96,axiom,(
% 1.91/0.54    (! [X4,X3] : ((in @ X4 @ (powerset @ X3)) => (subset @ X4 @ X3)) = powersetE1)),
% 1.91/0.54    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',powersetE1)).
% 1.91/0.54  thf(f6041,plain,(
% 1.91/0.54    spl713_5),
% 1.91/0.54    inference(avatar_contradiction_clause,[],[f6040])).
% 1.91/0.54  thf(f6040,plain,(
% 1.91/0.54    $false | spl713_5),
% 1.91/0.54    inference(trivial_inequality_removal,[],[f6025])).
% 1.91/0.54  thf(f6025,plain,(
% 1.91/0.54    ($true != $true) | spl713_5),
% 1.91/0.54    inference(superposition,[],[f3466,f2735])).
% 1.91/0.54  thf(f2735,plain,(
% 1.91/0.54    ((in @ sK357 @ (powerset @ sK356)) = $true)),
% 1.91/0.54    inference(cnf_transformation,[],[f1536])).
% 1.91/0.54  thf(f3466,plain,(
% 1.91/0.54    ((in @ sK357 @ (powerset @ sK356)) != $true) | spl713_5),
% 1.91/0.54    inference(avatar_component_clause,[],[f3464])).
% 1.91/0.54  % SZS output end Proof for theBenchmark
% 1.91/0.54  % (8070)------------------------------
% 1.91/0.54  % (8070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.91/0.54  % (8070)Termination reason: Refutation
% 1.91/0.54  
% 1.91/0.54  % (8070)Memory used [KB]: 10874
% 1.91/0.54  % (8070)Time elapsed: 0.186 s
% 1.91/0.54  % (8070)Instructions burned: 564 (million)
% 1.91/0.54  % (8070)------------------------------
% 1.91/0.54  % (8070)------------------------------
% 1.91/0.54  % (8047)Success in time 0.246 s
% 1.91/0.54  % Vampire---4.8 exiting
%------------------------------------------------------------------------------