%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU787^1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 03:51:31 EDT 2024

% Result   : Theorem 2.04s 0.66s
% Output   : Refutation 2.04s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SEU787^1 : TPTP v8.2.0. Released v3.7.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 17:09:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a TH0_THM_EQU_NAR problem
% 0.13/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39  % (23083)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.19/0.39  % (23084)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)
% 0.19/0.39  % (23082)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)
% 0.19/0.39  % (23084)Instruction limit reached!
% 0.19/0.39  % (23084)------------------------------
% 0.19/0.39  % (23084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.39  % (23084)Termination reason: Unknown
% 0.19/0.39  % (23084)Termination phase: shuffling
% 0.19/0.39  
% 0.19/0.39  % (23084)Memory used [KB]: 1535
% 0.19/0.39  % (23084)Time elapsed: 0.003 s
% 0.19/0.39  % (23084)Instructions burned: 4 (million)
% 0.19/0.39  % (23084)------------------------------
% 0.19/0.39  % (23084)------------------------------
% 0.19/0.39  % (23078)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)
% 0.19/0.40  % (23078)Instruction limit reached!
% 0.19/0.40  % (23078)------------------------------
% 0.19/0.40  % (23078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (23078)Termination reason: Unknown
% 0.19/0.40  % (23078)Termination phase: shuffling
% 0.19/0.40  
% 0.19/0.40  % (23078)Memory used [KB]: 1535
% 0.19/0.40  % (23078)Time elapsed: 0.004 s
% 0.19/0.40  % (23078)Instructions burned: 4 (million)
% 0.19/0.40  % (23078)------------------------------
% 0.19/0.40  % (23078)------------------------------
% 0.19/0.40  % (23083)Instruction limit reached!
% 0.19/0.40  % (23083)------------------------------
% 0.19/0.40  % (23083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (23083)Termination reason: Unknown
% 0.19/0.40  % (23083)Termination phase: shuffling
% 0.19/0.40  
% 0.19/0.40  % (23083)Memory used [KB]: 1918
% 0.19/0.40  % (23083)Time elapsed: 0.010 s
% 0.19/0.40  % (23083)Instructions burned: 18 (million)
% 0.19/0.40  % (23083)------------------------------
% 0.19/0.40  % (23083)------------------------------
% 0.19/0.40  % (23080)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.40  % (23080)Instruction limit reached!
% 0.19/0.40  % (23080)------------------------------
% 0.19/0.40  % (23080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.40  % (23080)Termination reason: Unknown
% 0.19/0.40  % (23080)Termination phase: shuffling
% 0.19/0.40  
% 0.19/0.40  % (23080)Memory used [KB]: 1535
% 0.19/0.40  % (23080)Time elapsed: 0.004 s
% 0.19/0.40  % (23080)Instructions burned: 2 (million)
% 0.19/0.40  % (23080)------------------------------
% 0.19/0.40  % (23080)------------------------------
% 0.19/0.40  % (23079)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)
% 0.19/0.40  % (23077)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.19/0.40  % (23081)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)
% 0.19/0.41  % (23081)Instruction limit reached!
% 0.19/0.41  % (23081)------------------------------
% 0.19/0.41  % (23081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.41  % (23081)Termination reason: Unknown
% 0.19/0.41  % (23081)Termination phase: shuffling
% 0.19/0.41  
% 0.19/0.41  % (23081)Memory used [KB]: 1535
% 0.19/0.41  % (23081)Time elapsed: 0.002 s
% 0.19/0.41  % (23081)Instructions burned: 2 (million)
% 0.19/0.41  % (23081)------------------------------
% 0.19/0.41  % (23081)------------------------------
% 0.19/0.41  % (23085)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)
% 0.19/0.42  % (23088)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)
% 0.19/0.42  % (23086)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)
% 0.19/0.42  % (23079)Instruction limit reached!
% 0.19/0.42  % (23079)------------------------------
% 0.19/0.42  % (23079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (23079)Termination reason: Unknown
% 0.19/0.42  % (23079)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (23079)Memory used [KB]: 2046
% 0.19/0.42  % (23079)Time elapsed: 0.016 s
% 0.19/0.42  % (23079)Instructions burned: 27 (million)
% 0.19/0.42  % (23079)------------------------------
% 0.19/0.42  % (23079)------------------------------
% 0.19/0.42  % (23089)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.42  % (23087)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)
% 0.19/0.42  % (23089)Instruction limit reached!
% 0.19/0.42  % (23089)------------------------------
% 0.19/0.42  % (23089)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (23087)Instruction limit reached!
% 0.19/0.42  % (23087)------------------------------
% 0.19/0.42  % (23087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (23087)Termination reason: Unknown
% 0.19/0.42  % (23087)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (23087)Memory used [KB]: 1535
% 0.19/0.42  % (23087)Time elapsed: 0.004 s
% 0.19/0.42  % (23087)Instructions burned: 4 (million)
% 0.19/0.42  % (23087)------------------------------
% 0.19/0.42  % (23087)------------------------------
% 0.19/0.42  % (23089)Termination reason: Unknown
% 0.19/0.42  % (23089)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (23089)Memory used [KB]: 1663
% 0.19/0.42  % (23089)Time elapsed: 0.005 s
% 0.19/0.42  % (23089)Instructions burned: 7 (million)
% 0.19/0.42  % (23089)------------------------------
% 0.19/0.42  % (23089)------------------------------
% 0.19/0.42  % (23086)Instruction limit reached!
% 0.19/0.42  % (23086)------------------------------
% 0.19/0.42  % (23086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.42  % (23086)Termination reason: Unknown
% 0.19/0.42  % (23086)Termination phase: shuffling
% 0.19/0.42  
% 0.19/0.42  % (23086)Memory used [KB]: 1791
% 0.19/0.42  % (23086)Time elapsed: 0.009 s
% 0.19/0.42  % (23086)Instructions burned: 15 (million)
% 0.19/0.42  % (23086)------------------------------
% 0.19/0.42  % (23086)------------------------------
% 0.19/0.43  % (23085)Instruction limit reached!
% 0.19/0.43  % (23085)------------------------------
% 0.19/0.43  % (23085)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.43  % (23085)Termination reason: Unknown
% 0.19/0.43  % (23085)Termination phase: shuffling
% 0.19/0.43  
% 0.19/0.43  % (23085)Memory used [KB]: 2302
% 0.19/0.43  % (23085)Time elapsed: 0.018 s
% 0.19/0.43  % (23085)Instructions burned: 37 (million)
% 0.19/0.43  % (23085)------------------------------
% 0.19/0.43  % (23085)------------------------------
% 0.19/0.43  % (23090)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.44  % (23092)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)
% 0.19/0.44  % (23092)Instruction limit reached!
% 0.19/0.44  % (23092)------------------------------
% 0.19/0.44  % (23092)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (23092)Termination reason: Unknown
% 0.19/0.44  % (23092)Termination phase: shuffling
% 0.19/0.44  
% 0.19/0.44  % (23092)Memory used [KB]: 1535
% 0.19/0.44  % (23092)Time elapsed: 0.003 s
% 0.19/0.44  % (23092)Instructions burned: 3 (million)
% 0.19/0.44  % (23092)------------------------------
% 0.19/0.44  % (23092)------------------------------
% 0.19/0.44  % (23093)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)
% 0.19/0.44  % (23094)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)
% 0.19/0.44  % (23090)Instruction limit reached!
% 0.19/0.44  % (23090)------------------------------
% 0.19/0.44  % (23090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (23094)Instruction limit reached!
% 0.19/0.44  % (23094)------------------------------
% 0.19/0.44  % (23094)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (23094)Termination reason: Unknown
% 0.19/0.44  % (23094)Termination phase: shuffling
% 0.19/0.44  
% 0.19/0.44  % (23094)Memory used [KB]: 1535
% 0.19/0.44  % (23094)Time elapsed: 0.003 s
% 0.19/0.44  % (23094)Instructions burned: 3 (million)
% 0.19/0.44  % (23094)------------------------------
% 0.19/0.44  % (23094)------------------------------
% 0.19/0.44  % (23090)Termination reason: Unknown
% 0.19/0.44  % (23090)Termination phase: shuffling
% 0.19/0.44  
% 0.19/0.44  % (23090)Memory used [KB]: 1791
% 0.19/0.44  % (23090)Time elapsed: 0.011 s
% 0.19/0.44  % (23090)Instructions burned: 17 (million)
% 0.19/0.44  % (23090)------------------------------
% 0.19/0.44  % (23090)------------------------------
% 0.19/0.44  % (23093)Instruction limit reached!
% 0.19/0.44  % (23093)------------------------------
% 0.19/0.44  % (23093)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (23093)Termination reason: Unknown
% 0.19/0.44  % (23093)Termination phase: shuffling
% 0.19/0.44  
% 0.19/0.44  % (23093)Memory used [KB]: 1663
% 0.19/0.44  % (23093)Time elapsed: 0.005 s
% 0.19/0.44  % (23093)Instructions burned: 7 (million)
% 0.19/0.44  % (23093)------------------------------
% 0.19/0.44  % (23093)------------------------------
% 0.19/0.44  % (23091)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)
% 0.19/0.44  % (23091)Instruction limit reached!
% 0.19/0.44  % (23091)------------------------------
% 0.19/0.44  % (23091)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.44  % (23091)Termination reason: Unknown
% 0.19/0.44  % (23091)Termination phase: shuffling
% 0.19/0.44  
% 0.19/0.44  % (23091)Memory used [KB]: 1535
% 0.19/0.44  % (23091)Time elapsed: 0.004 s
% 0.19/0.44  % (23091)Instructions burned: 4 (million)
% 0.19/0.44  % (23091)------------------------------
% 0.19/0.44  % (23091)------------------------------
% 0.19/0.45  % (23095)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.45  % (23095)Instruction limit reached!
% 0.19/0.45  % (23095)------------------------------
% 0.19/0.45  % (23095)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.45  % (23095)Termination reason: Unknown
% 0.19/0.45  % (23095)Termination phase: shuffling
% 0.19/0.45  
% 0.19/0.45  % (23095)Memory used [KB]: 1535
% 0.19/0.45  % (23095)Time elapsed: 0.004 s
% 0.19/0.45  % (23095)Instructions burned: 5 (million)
% 0.19/0.45  % (23095)------------------------------
% 0.19/0.45  % (23095)------------------------------
% 0.19/0.46  % (23096)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)
% 0.19/0.46  % (23098)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.46  % (23097)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.46  % (23098)Instruction limit reached!
% 0.19/0.46  % (23098)------------------------------
% 0.19/0.46  % (23098)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46  % (23098)Termination reason: Unknown
% 0.19/0.46  % (23098)Termination phase: shuffling
% 0.19/0.46  
% 0.19/0.46  % (23098)Memory used [KB]: 1663
% 0.19/0.46  % (23098)Time elapsed: 0.005 s
% 0.19/0.46  % (23098)Instructions burned: 7 (million)
% 0.19/0.46  % (23098)------------------------------
% 0.19/0.46  % (23098)------------------------------
% 0.19/0.46  % (23099)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)
% 0.19/0.46  % (23096)Instruction limit reached!
% 0.19/0.46  % (23096)------------------------------
% 0.19/0.46  % (23096)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.46  % (23096)Termination reason: Unknown
% 0.19/0.46  % (23096)Termination phase: shuffling
% 0.19/0.47  
% 0.19/0.47  % (23096)Memory used [KB]: 1918
% 0.19/0.47  % (23096)Time elapsed: 0.012 s
% 0.19/0.47  % (23096)Instructions burned: 20 (million)
% 0.19/0.47  % (23096)------------------------------
% 0.19/0.47  % (23096)------------------------------
% 0.19/0.47  % (23100)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)
% 0.19/0.47  % (23101)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.19/0.48  % (23101)Instruction limit reached!
% 0.19/0.48  % (23101)------------------------------
% 0.19/0.48  % (23101)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48  % (23101)Termination reason: Unknown
% 0.19/0.48  % (23101)Termination phase: shuffling
% 0.19/0.48  
% 0.19/0.48  % (23101)Memory used [KB]: 1535
% 0.19/0.48  % (23101)Time elapsed: 0.004 s
% 0.19/0.48  % (23101)Instructions burned: 5 (million)
% 0.19/0.48  % (23101)------------------------------
% 0.19/0.48  % (23101)------------------------------
% 0.19/0.48  % (23102)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.19/0.48  % (23100)Instruction limit reached!
% 0.19/0.48  % (23100)------------------------------
% 0.19/0.48  % (23100)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48  % (23100)Termination reason: Unknown
% 0.19/0.48  % (23100)Termination phase: shuffling
% 0.19/0.48  
% 0.19/0.48  % (23100)Memory used [KB]: 1918
% 0.19/0.48  % (23100)Time elapsed: 0.011 s
% 0.19/0.48  % (23100)Instructions burned: 21 (million)
% 0.19/0.48  % (23100)------------------------------
% 0.19/0.48  % (23100)------------------------------
% 0.19/0.48  % (23102)Instruction limit reached!
% 0.19/0.48  % (23102)------------------------------
% 0.19/0.48  % (23102)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.48  % (23102)Termination reason: Unknown
% 0.19/0.48  % (23102)Termination phase: shuffling
% 0.19/0.48  
% 0.19/0.48  % (23102)Memory used [KB]: 1663
% 0.19/0.48  % (23102)Time elapsed: 0.006 s
% 0.19/0.48  % (23102)Instructions burned: 7 (million)
% 0.19/0.48  % (23102)------------------------------
% 0.19/0.48  % (23102)------------------------------
% 0.19/0.49  % (23077)Instruction limit reached!
% 0.19/0.49  % (23077)------------------------------
% 0.19/0.49  % (23077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.49  % (23077)Termination reason: Unknown
% 0.19/0.49  % (23077)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (23077)Memory used [KB]: 7547
% 0.19/0.49  % (23077)Time elapsed: 0.087 s
% 0.19/0.49  % (23077)Instructions burned: 185 (million)
% 0.19/0.49  % (23077)------------------------------
% 0.19/0.49  % (23077)------------------------------
% 0.19/0.49  % (23103)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.19/0.50  % (23104)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.19/0.50  % (23105)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.19/0.50  % (23106)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.19/0.51  % (23105)Instruction limit reached!
% 0.19/0.51  % (23105)------------------------------
% 0.19/0.51  % (23105)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.19/0.51  % (23105)Termination reason: Unknown
% 0.19/0.51  % (23105)Termination phase: shuffling
% 0.19/0.51  
% 0.19/0.51  % (23105)Memory used [KB]: 1918
% 0.19/0.51  % (23105)Time elapsed: 0.010 s
% 0.19/0.51  % (23105)Instructions burned: 19 (million)
% 0.19/0.51  % (23105)------------------------------
% 0.19/0.51  % (23105)------------------------------
% 1.13/0.52  % (23082)Instruction limit reached!
% 1.13/0.52  % (23082)------------------------------
% 1.13/0.52  % (23082)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/0.52  % (23082)Termination reason: Unknown
% 1.13/0.52  % (23082)Termination phase: Saturation
% 1.13/0.52  
% 1.13/0.52  % (23082)Memory used [KB]: 10490
% 1.13/0.52  % (23082)Time elapsed: 0.118 s
% 1.13/0.52  % (23082)Instructions burned: 276 (million)
% 1.13/0.52  % (23082)------------------------------
% 1.13/0.52  % (23082)------------------------------
% 1.13/0.52  % (23107)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 1.13/0.53  % (23107)Instruction limit reached!
% 1.13/0.53  % (23107)------------------------------
% 1.13/0.53  % (23107)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/0.53  % (23107)Termination reason: Unknown
% 1.13/0.53  % (23107)Termination phase: shuffling
% 1.13/0.53  
% 1.13/0.53  % (23107)Memory used [KB]: 1791
% 1.13/0.53  % (23107)Time elapsed: 0.009 s
% 1.13/0.53  % (23107)Instructions burned: 18 (million)
% 1.13/0.53  % (23107)------------------------------
% 1.13/0.53  % (23107)------------------------------
% 1.13/0.53  % (23108)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.13/0.53  % (23108)Instruction limit reached!
% 1.13/0.53  % (23108)------------------------------
% 1.13/0.53  % (23108)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.13/0.53  % (23108)Termination reason: Unknown
% 1.13/0.53  % (23108)Termination phase: shuffling
% 1.13/0.53  
% 1.13/0.53  % (23108)Memory used [KB]: 1535
% 1.13/0.53  % (23108)Time elapsed: 0.003 s
% 1.13/0.53  % (23108)Instructions burned: 6 (million)
% 1.13/0.53  % (23108)------------------------------
% 1.13/0.53  % (23108)------------------------------
% 1.29/0.54  % (23110)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)
% 1.29/0.54  % (23109)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.29/0.56  % (23109)Instruction limit reached!
% 1.29/0.56  % (23109)------------------------------
% 1.29/0.56  % (23109)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.56  % (23109)Termination reason: Unknown
% 1.29/0.56  % (23109)Termination phase: shuffling
% 1.29/0.56  
% 1.29/0.56  % (23109)Memory used [KB]: 2046
% 1.29/0.56  % (23109)Time elapsed: 0.015 s
% 1.29/0.56  % (23109)Instructions burned: 30 (million)
% 1.29/0.56  % (23109)------------------------------
% 1.29/0.56  % (23109)------------------------------
% 1.29/0.57  % (23111)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)
% 1.29/0.58  % (23110)Instruction limit reached!
% 1.29/0.58  % (23110)------------------------------
% 1.29/0.58  % (23110)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.58  % (23110)Termination reason: Unknown
% 1.29/0.58  % (23110)Termination phase: Property scanning
% 1.29/0.58  
% 1.29/0.58  % (23110)Memory used [KB]: 2814
% 1.29/0.58  % (23110)Time elapsed: 0.037 s
% 1.29/0.58  % (23110)Instructions burned: 128 (million)
% 1.29/0.58  % (23110)------------------------------
% 1.29/0.58  % (23110)------------------------------
% 1.29/0.59  % (23112)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 (2997ds/3Mi)
% 1.29/0.59  % (23112)Instruction limit reached!
% 1.29/0.59  % (23112)------------------------------
% 1.29/0.59  % (23112)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.59  % (23112)Termination reason: Unknown
% 1.29/0.59  % (23112)Termination phase: shuffling
% 1.29/0.59  
% 1.29/0.59  % (23112)Memory used [KB]: 1535
% 1.29/0.59  % (23112)Time elapsed: 0.003 s
% 1.29/0.59  % (23112)Instructions burned: 5 (million)
% 1.29/0.59  % (23112)------------------------------
% 1.29/0.59  % (23112)------------------------------
% 1.29/0.60  % (23113)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.29/0.60  % (23111)Instruction limit reached!
% 1.29/0.60  % (23111)------------------------------
% 1.29/0.60  % (23111)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.60  % (23111)Termination reason: Unknown
% 1.29/0.60  % (23111)Termination phase: Property scanning
% 1.29/0.60  
% 1.29/0.60  % (23111)Memory used [KB]: 2814
% 1.29/0.60  % (23111)Time elapsed: 0.027 s
% 1.29/0.60  % (23111)Instructions burned: 101 (million)
% 1.29/0.60  % (23111)------------------------------
% 1.29/0.60  % (23111)------------------------------
% 1.29/0.60  % (23113)Instruction limit reached!
% 1.29/0.60  % (23113)------------------------------
% 1.29/0.60  % (23113)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.60  % (23113)Termination reason: Unknown
% 1.29/0.60  % (23113)Termination phase: shuffling
% 1.29/0.60  
% 1.29/0.60  % (23113)Memory used [KB]: 1918
% 1.29/0.60  % (23113)Time elapsed: 0.009 s
% 1.29/0.60  % (23113)Instructions burned: 21 (million)
% 1.29/0.60  % (23113)------------------------------
% 1.29/0.60  % (23113)------------------------------
% 1.29/0.61  % (23114)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.29/0.61  % (23115)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.29/0.63  % (23114)Instruction limit reached!
% 1.29/0.63  % (23114)------------------------------
% 1.29/0.63  % (23114)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.29/0.63  % (23114)Termination reason: Unknown
% 1.29/0.63  % (23114)Termination phase: Property scanning
% 1.29/0.63  
% 1.29/0.63  % (23114)Memory used [KB]: 2686
% 1.29/0.63  % (23114)Time elapsed: 0.024 s
% 1.29/0.63  % (23114)Instructions burned: 89 (million)
% 1.29/0.63  % (23114)------------------------------
% 1.29/0.63  % (23114)------------------------------
% 2.04/0.64  % (23116)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.04/0.64  % (23115)Instruction limit reached!
% 2.04/0.64  % (23115)------------------------------
% 2.04/0.64  % (23115)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.64  % (23115)Termination reason: Unknown
% 2.04/0.64  % (23115)Termination phase: SInE selection
% 2.04/0.64  
% 2.04/0.64  % (23115)Memory used [KB]: 2686
% 2.04/0.64  % (23115)Time elapsed: 0.031 s
% 2.04/0.64  % (23115)Instructions burned: 107 (million)
% 2.04/0.64  % (23115)------------------------------
% 2.04/0.64  % (23115)------------------------------
% 2.04/0.65  % (23116)Instruction limit reached!
% 2.04/0.65  % (23116)------------------------------
% 2.04/0.65  % (23116)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.65  % (23116)Termination reason: Unknown
% 2.04/0.65  % (23116)Termination phase: shuffling
% 2.04/0.65  
% 2.04/0.65  % (23116)Memory used [KB]: 2302
% 2.04/0.65  % (23116)Time elapsed: 0.012 s
% 2.04/0.65  % (23116)Instructions burned: 40 (million)
% 2.04/0.65  % (23116)------------------------------
% 2.04/0.65  % (23116)------------------------------
% 2.04/0.65  % (23117)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2997ds/448Mi)
% 2.04/0.65  % (23103)Instruction limit reached!
% 2.04/0.65  % (23103)------------------------------
% 2.04/0.65  % (23103)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.65  % (23103)Termination reason: Unknown
% 2.04/0.65  % (23103)Termination phase: Saturation
% 2.04/0.65  
% 2.04/0.65  % (23103)Memory used [KB]: 9466
% 2.04/0.65  % (23103)Time elapsed: 0.163 s
% 2.04/0.65  % (23103)Instructions burned: 378 (million)
% 2.04/0.65  % (23103)------------------------------
% 2.04/0.65  % (23103)------------------------------
% 2.04/0.66  % (23118)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 2.04/0.66  % (23099)First to succeed.
% 2.04/0.66  % (23099)Refutation found. Thanks to Tanya!
% 2.04/0.66  % SZS status Theorem for theBenchmark
% 2.04/0.66  % SZS output start Proof for theBenchmark
% 2.04/0.66  thf(func_def_0, type, in: $i > $i > $o).
% 2.04/0.66  thf(func_def_1, type, exu: ($i > $o) > $o).
% 2.04/0.66  thf(func_def_6, type, setadjoin: $i > $i > $i).
% 2.04/0.66  thf(func_def_8, type, powerset: $i > $i).
% 2.04/0.66  thf(func_def_10, type, setunion: $i > $i).
% 2.04/0.66  thf(func_def_19, type, descr: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_26, type, prop2set: $o > $i).
% 2.04/0.66  thf(func_def_36, type, nonempty: $i > $o).
% 2.04/0.66  thf(func_def_69, type, set2prop: $i > $o).
% 2.04/0.66  thf(func_def_88, type, subset: $i > $i > $o).
% 2.04/0.66  thf(func_def_89, type, disjoint: $i > $i > $o).
% 2.04/0.66  thf(func_def_90, type, setsmeet: $i > $i > $o).
% 2.04/0.66  thf(func_def_114, type, binunion: $i > $i > $i).
% 2.04/0.66  thf(func_def_122, type, binintersect: $i > $i > $i).
% 2.04/0.66  thf(func_def_135, type, regular: $i > $o).
% 2.04/0.66  thf(func_def_136, type, setminus: $i > $i > $i).
% 2.04/0.66  thf(func_def_147, type, symdiff: $i > $i > $i).
% 2.04/0.66  thf(func_def_153, type, iskpair: $i > $o).
% 2.04/0.66  thf(func_def_158, type, kpair: $i > $i > $i).
% 2.04/0.66  thf(func_def_160, type, cartprod: $i > $i > $i).
% 2.04/0.66  thf(func_def_177, type, singleton: $i > $o).
% 2.04/0.66  thf(func_def_179, type, ex1: $i > ($i > $o) > $o).
% 2.04/0.66  thf(func_def_184, type, atmost1p: $i > $o).
% 2.04/0.66  thf(func_def_185, type, atleast2p: $i > $o).
% 2.04/0.66  thf(func_def_186, type, atmost2p: $i > $o).
% 2.04/0.66  thf(func_def_187, type, upairsetp: $i > $o).
% 2.04/0.66  thf(func_def_191, type, kfst: $i > $i).
% 2.04/0.66  thf(func_def_203, type, ksnd: $i > $i).
% 2.04/0.66  thf(func_def_213, type, breln: $i > $i > $i > $o).
% 2.04/0.66  thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i).
% 2.04/0.66  thf(func_def_222, type, func: $i > $i > $i > $o).
% 2.04/0.66  thf(func_def_223, type, funcSet: $i > $i > $i).
% 2.04/0.66  thf(func_def_226, type, ap: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i).
% 2.04/0.66  thf(func_def_259, type, if: $i > $o > $i > $i > $i).
% 2.04/0.66  thf(func_def_323, type, breln1: $i > $i > $o).
% 2.04/0.66  thf(func_def_325, type, breln1Set: $i > $i).
% 2.04/0.66  thf(func_def_327, type, transitive: $i > $i > $o).
% 2.04/0.66  thf(func_def_328, type, antisymmetric: $i > $i > $o).
% 2.04/0.66  thf(func_def_329, type, reflexive: $i > $i > $o).
% 2.04/0.66  thf(func_def_330, type, refltransitive: $i > $i > $o).
% 2.04/0.66  thf(func_def_331, type, refllinearorder: $i > $i > $o).
% 2.04/0.66  thf(func_def_332, type, reflwellordering: $i > $i > $o).
% 2.04/0.66  thf(func_def_338, type, breln1invset: $i > $i > $i).
% 2.04/0.66  thf(func_def_342, type, breln1compset: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_366, type, sP1: $i > $i > $i > $o).
% 2.04/0.66  thf(func_def_370, type, sP5: $i > $o > $i > $i > $o).
% 2.04/0.66  thf(func_def_371, type, sP6: $i > $i > $o).
% 2.04/0.66  thf(func_def_372, type, sP7: $i > $o).
% 2.04/0.66  thf(func_def_373, type, sP8: $i > $i > $o).
% 2.04/0.66  thf(func_def_374, type, sP9: $i > $i > $o).
% 2.04/0.66  thf(func_def_376, type, sP11: $i > $i > $i > $i > $o).
% 2.04/0.66  thf(func_def_378, type, sP13: $i > $i > $i > $o).
% 2.04/0.66  thf(func_def_411, type, sK46: ($i > $o) > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_412, type, sK47: ($i > $o) > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_416, type, sK51: $i > $o).
% 2.04/0.66  thf(func_def_424, type, sK59: $i > $o).
% 2.04/0.66  thf(func_def_436, type, sK71: $i > $o).
% 2.04/0.66  thf(func_def_438, type, sK73: ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_459, type, sK94: $i > $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_462, type, sK97: $i > $i > $o).
% 2.04/0.66  thf(func_def_469, type, sK104: $i > $o).
% 2.04/0.66  thf(func_def_474, type, sK109: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_475, type, sK110: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_476, type, sK111: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_477, type, sK112: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_500, type, sK135: $i > $o).
% 2.04/0.66  thf(func_def_503, type, sK138: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_507, type, sK142: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_508, type, sK143: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_509, type, sK144: $i > $o).
% 2.04/0.66  thf(func_def_512, type, sK147: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_516, type, sK151: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_522, type, sK157: $i > $o).
% 2.04/0.66  thf(func_def_534, type, sK169: $i > $o).
% 2.04/0.66  thf(func_def_536, type, sK171: $i > ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_553, type, sK188: $i > $i > $i).
% 2.04/0.66  thf(func_def_559, type, sK194: $i > $i > $i).
% 2.04/0.66  thf(func_def_563, type, sK198: $i > $i > $o).
% 2.04/0.66  thf(func_def_568, type, sK203: $i > $o).
% 2.04/0.66  thf(func_def_571, type, sK206: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_572, type, sK207: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_575, type, sK210: $i > $o).
% 2.04/0.66  thf(func_def_585, type, sK220: $i > $o).
% 2.04/0.66  thf(func_def_594, type, sK229: $i > $i).
% 2.04/0.66  thf(func_def_595, type, sK230: ($i > $i) > $i > $i > $i).
% 2.04/0.66  thf(func_def_602, type, sK237: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_603, type, sK238: $i > $o).
% 2.04/0.66  thf(func_def_609, type, sK244: $o > $i > $i > $i).
% 2.04/0.66  thf(func_def_614, type, sK249: $i > $i > $i).
% 2.04/0.66  thf(func_def_633, type, sK268: ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_634, type, sK269: ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_637, type, sK272: $i > $o).
% 2.04/0.66  thf(func_def_662, type, sK297: ($i > $o) > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_663, type, sK298: ($i > $o) > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_664, type, sK299: $i > $o).
% 2.04/0.66  thf(func_def_665, type, sK300: $i > $o).
% 2.04/0.66  thf(func_def_683, type, sK318: $i > $o).
% 2.04/0.66  thf(func_def_684, type, sK319: $i > $i).
% 2.04/0.66  thf(func_def_685, type, sK320: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_686, type, sK321: $i > $o).
% 2.04/0.66  thf(func_def_702, type, sK337: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_720, type, sK355: ($i > $i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_723, type, sK358: $i > $i > $o).
% 2.04/0.66  thf(func_def_726, type, sK361: $i > $i).
% 2.04/0.66  thf(func_def_730, type, sK365: $i > $i > $i).
% 2.04/0.66  thf(func_def_731, type, sK366: $i > $i > $i).
% 2.04/0.66  thf(func_def_732, type, sK367: $i > $i > $i).
% 2.04/0.66  thf(func_def_733, type, sK368: $i > $i > $i).
% 2.04/0.66  thf(func_def_734, type, sK369: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_735, type, sK370: $i > $i).
% 2.04/0.66  thf(func_def_736, type, sK371: $i > $i).
% 2.04/0.66  thf(func_def_737, type, sK372: $i > $i).
% 2.04/0.66  thf(func_def_738, type, sK373: $i > $i).
% 2.04/0.66  thf(func_def_739, type, sK374: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_740, type, sK375: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_741, type, sK376: $i > $i > $i).
% 2.04/0.66  thf(func_def_742, type, sK377: $i > $i > $i).
% 2.04/0.66  thf(func_def_743, type, sK378: $i > $i > $i).
% 2.04/0.66  thf(func_def_745, type, sK380: $i > $i).
% 2.04/0.66  thf(func_def_746, type, sK381: $i > $i).
% 2.04/0.66  thf(func_def_747, type, sK382: $i > $i).
% 2.04/0.66  thf(func_def_748, type, sK383: $i > $i > $i).
% 2.04/0.66  thf(func_def_749, type, sK384: ($i > $i) > $i > $i > $i).
% 2.04/0.66  thf(func_def_752, type, sK387: $i > $i).
% 2.04/0.66  thf(func_def_773, type, sK408: $i > $i > ($i > $i) > $i).
% 2.04/0.66  thf(func_def_774, type, sK409: $i > $i).
% 2.04/0.66  thf(func_def_779, type, sK414: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_780, type, sK415: $i > $o).
% 2.04/0.66  thf(func_def_791, type, sK426: $i > $i).
% 2.04/0.66  thf(func_def_793, type, sK428: $i > $i).
% 2.04/0.66  thf(func_def_801, type, sK436: $i > $i > $o).
% 2.04/0.66  thf(func_def_807, type, sK442: $i > $i).
% 2.04/0.66  thf(func_def_810, type, sK445: $i > ($i > $i) > $i > $i).
% 2.04/0.66  thf(func_def_811, type, sK446: $i > $o).
% 2.04/0.66  thf(func_def_819, type, sK454: $i > $o).
% 2.04/0.66  thf(func_def_821, type, sK456: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_833, type, sK468: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_834, type, sK469: ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_836, type, sK471: $i > $o).
% 2.04/0.66  thf(func_def_843, type, sK478: ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_844, type, sK479: ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_847, type, sK482: $i > $o).
% 2.04/0.66  thf(func_def_854, type, sK489: $i > $i > $o).
% 2.04/0.66  thf(func_def_864, type, sK499: ($i > $o) > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_865, type, sK500: ($i > $o) > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_869, type, sK504: $i > $o).
% 2.04/0.66  thf(func_def_877, type, sK512: $o > $i > $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_919, type, sK554: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_920, type, sK555: $i > $o).
% 2.04/0.66  thf(func_def_924, type, sK559: $i > $o).
% 2.04/0.66  thf(func_def_940, type, sK575: $i > $o).
% 2.04/0.66  thf(func_def_942, type, sK577: $i > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_989, type, sK624: $i > $i).
% 2.04/0.66  thf(func_def_1013, type, sK648: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1014, type, sK649: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1025, type, sK660: $i > $o).
% 2.04/0.66  thf(func_def_1027, type, sK662: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_1028, type, sK663: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_1029, type, sK664: ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_1031, type, sK666: $i > $o).
% 2.04/0.66  thf(func_def_1038, type, sK673: ($i > $o) > $i).
% 2.04/0.66  thf(func_def_1039, type, sK674: $i > $o).
% 2.04/0.66  thf(func_def_1040, type, sK675: $i > $i).
% 2.04/0.66  thf(func_def_1050, type, sK685: $i > $i > $o).
% 2.04/0.66  thf(func_def_1082, type, sK717: $i > $i).
% 2.04/0.66  thf(func_def_1094, type, sK729: $i > $i > $i).
% 2.04/0.66  thf(func_def_1095, type, sK730: $i > $i > $i).
% 2.04/0.66  thf(func_def_1099, type, sK734: $i > $i > $o).
% 2.04/0.66  thf(func_def_1104, type, sK739: $i > $i).
% 2.04/0.66  thf(func_def_1106, type, sK741: ($i > $i) > $i > $i > $i).
% 2.04/0.66  thf(func_def_1107, type, sK742: $i > $o).
% 2.04/0.66  thf(func_def_1117, type, sK752: $i > $i > $i).
% 2.04/0.66  thf(func_def_1127, type, sK762: $i > $i > $i).
% 2.04/0.66  thf(func_def_1128, type, sK763: $i > $o).
% 2.04/0.66  thf(func_def_1142, type, sK777: $i > $o).
% 2.04/0.66  thf(func_def_1146, type, sK781: $i > $o).
% 2.04/0.66  thf(func_def_1157, type, sK792: $i > $i > $o).
% 2.04/0.66  thf(func_def_1167, type, sK802: $i > $o).
% 2.04/0.66  thf(func_def_1168, type, sK803: $i > $o).
% 2.04/0.66  thf(func_def_1169, type, sK804: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_1170, type, sK805: ($i > $o) > ($i > $o) > $i > $i > $i).
% 2.04/0.66  thf(func_def_1175, type, sK810: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1176, type, sK811: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1177, type, sK812: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1178, type, sK813: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1179, type, sK814: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1180, type, sK815: $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1194, type, sK829: $i > $i).
% 2.04/0.66  thf(func_def_1196, type, sK831: $i > ($i > $i) > $i > $i).
% 2.04/0.66  thf(func_def_1202, type, sK837: $i > $i > $i).
% 2.04/0.66  thf(func_def_1206, type, sK841: ($i > $o) > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_1207, type, sK842: ($i > $o) > ($i > $o) > $i).
% 2.04/0.66  thf(func_def_1208, type, sK843: $i > $o).
% 2.04/0.66  thf(func_def_1209, type, sK844: $i > $o).
% 2.04/0.66  thf(func_def_1220, type, sK855: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1221, type, sK856: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1231, type, sK866: $i > $i).
% 2.04/0.66  thf(func_def_1249, type, sK884: $i > $i).
% 2.04/0.66  thf(func_def_1273, type, sK908: $i > $o).
% 2.04/0.66  thf(func_def_1293, type, sK928: $i > $i > $o).
% 2.04/0.66  thf(func_def_1307, type, sK942: $i > $i > $o).
% 2.04/0.66  thf(func_def_1309, type, sK944: $i > $i).
% 2.04/0.66  thf(func_def_1310, type, sK945: $i > $i).
% 2.04/0.66  thf(func_def_1311, type, sK946: $i > ($i > $i > $o) > $i).
% 2.04/0.66  thf(func_def_1312, type, sK947: $i > ($i > $i > $o) > $i).
% 2.04/0.66  thf(func_def_1313, type, sK948: $i > $i > ($i > $i > $o) > $i).
% 2.04/0.66  thf(func_def_1324, type, sK959: $i > $i > $i).
% 2.04/0.66  thf(func_def_1325, type, sK960: $i > $i).
% 2.04/0.66  thf(func_def_1328, type, sK963: $i > $o).
% 2.04/0.66  thf(func_def_1330, type, sK965: ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_1331, type, sK966: ($i > $o) > $i > $i).
% 2.04/0.66  thf(func_def_1342, type, sK977: $i > $i > $i).
% 2.04/0.66  thf(func_def_1371, type, sK1006: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1372, type, sK1007: $i > $i > $i > $i > $i).
% 2.04/0.66  thf(func_def_1389, type, ph1024: !>[X0: $tType]:(X0)).
% 2.04/0.66  thf(f4912,plain,(
% 2.04/0.66    $false),
% 2.04/0.66    inference(avatar_sat_refutation,[],[f4786,f4791,f4792,f4906])).
% 2.04/0.66  thf(f4906,plain,(
% 2.04/0.66    spl1023_3 | spl1023_1),
% 2.04/0.66    inference(avatar_split_clause,[],[f4905,f4779,f4788])).
% 2.04/0.66  thf(f4788,plain,(
% 2.04/0.66    spl1023_3 <=> ((in @ (kpair @ sK898 @ sK899) @ sK896) = $true)),
% 2.04/0.66    introduced(avatar_definition,[new_symbols(naming,[spl1023_3])])).
% 2.04/0.66  thf(f4779,plain,(
% 2.04/0.66    spl1023_1 <=> ($true = (in @ (kpair @ sK898 @ sK899) @ sK897))),
% 2.04/0.66    introduced(avatar_definition,[new_symbols(naming,[spl1023_1])])).
% 2.04/0.66  thf(f4905,plain,(
% 2.04/0.66    ($true = (in @ (kpair @ sK898 @ sK899) @ sK897)) | ((in @ (kpair @ sK898 @ sK899) @ sK896) = $true)),
% 2.04/0.66    inference(trivial_inequality_removal,[],[f4904])).
% 2.04/0.66  thf(f4904,plain,(
% 2.04/0.66    ((in @ (kpair @ sK898 @ sK899) @ sK896) = $true) | ($true != $true) | ($true = (in @ (kpair @ sK898 @ sK899) @ sK897))),
% 2.04/0.66    inference(forward_demodulation,[],[f4868,f4305])).
% 2.04/0.66  thf(f4305,plain,(
% 2.04/0.66    (binunionE = $true)),
% 2.04/0.66    inference(cnf_transformation,[],[f2725])).
% 2.04/0.66  thf(f2725,plain,(
% 2.04/0.66    (notsubsetI = $true) & (cartprodmempair = $true) & (eqinunit = $true) & (emptyinunitempty = $true) & (binintersectSubset4 = $true) & (cartprodmempair1 = $true) & (powersetAx = $true) & (emptyset__Cong = $true) & (ex1E2 = $true) & (breln1unionE = $true) & (demorgan2a2 = $true) & (upairsubunion = $true) & (cartprodfstpairEq = $true) & (subsetI2 = $true) & (binunionTE = $true) & (sepInPowerset = $true) & (binintersectSubset2 = $true) & (woz13rule2 = $true) & (setadjoinIL = $true) & (setukpairIR = $true) & (woz1_4 = $true) & (descrp = $true) & (exuI3 = $true) & (setminusELneg = $true) & (subsetI1 = $true) & (ex1E1 = $true) & (setminusSubset2 = $true) & (upairequniteq = $true) & (demorgan1a = $true) & (setminusEL = $true) & (exuE1 = $true) & (binintersectRsub = $true) & (breln1compI = $true) & (binunionEcases = $true) & (kfstpairEq = $true) & (demorgan1 = $true) & (prop2setI = $true) & (complementInPowersetComplementIntersect = $true) & (ap2p = $true) & (cartprodsndpairEq = $true) & (omegaSAx = $true) & (funcGraphProp1 = $true) & (setukpairinjL1 = $true) & (binunionLsub = $true) & (ubforcartprodlem3 = $true) & (cartprodpairin = $true) & (powersetT_lem = $true) & (doubleComplementEq = $true) & (setunionsingleton1 = $true) & (complementImpComplementIntersect = $true) & (contrasubsetT2 = $true) & (kpairsurjEq = $true) & (symdiffIneg2 = $true) & (inIntersectImpInIntersectUnions = $true) & (funcext = $true) & (complementTE1 = $true) & (eqimpsubset2 = $true) & (binunionTIRcontra = $true) & (setukpairinjR = $true) & (emptyinPowerset = $true) & (powersetE1 = $true) & (breln1compEex = $true) & (powersetI1 = $true) & (setextAx = $true) & (inCongP = $true) & (complementUnionInPowersetComplement = $true) & (setunionE = $true) & (setukpairIL = $true) & (setukpairinjR1 = $true) & (funcextLem = $true) & (iftrueProp1 = $true) & (setminusILneg = $true) & (demorgan2b2 = $true) & (iffalseProp1 = $true) & (exu__Cong = $true) & (contrasubsetT = $true) & (singletoninpowerset = $true) & (binintersectTELcontra = $true) & (exuEu = $true) & (inComplementUnionImpNotIn1 = $true) & (emptyI = $true) & (setadjoinIR = $true) & (app = $true) & (apProp = $true) & (exuI2 = $true) & (theprop = $true) & (subbreln1 = $true) & (emptysetE = $true) & (complementTcontraSubset = $true) & (beta1 = $true) & (funcinfuncset = $true) & (quantDeMorgan2 = $true) & (breln1SetBreln1 = $true) & (noeltsimpempty = $true) & (setextT = $true) & (ex1I2 = $true) & (breln1unionI = $true) & (iftrueProp2 = $true) & (setunionsingleton2 = $true) & (emptyE1 = $true) & (woz1_5 = $true) & (dpsetconstrSub = $true) & (nonemptyImpWitness = $true) & (setminusER = $true) & (ifSingleton = $true) & (subsetemptysetimpeq = $true) & (singletonsswitch = $true) & (notinemptyset = $true) & (inIntersectImpInUnion = $true) & (prop2setE = $true) & (powersetTI1 = $true) & (upairsetE = $true) & (binintersectLsub = $true) & (doubleComplementSub1 = $true) & (setukpairinjR12 = $true) & (contraSubsetComplement = $true) & (powersetE = $true) & (funcImageSingleton = $true) & (subset2powerset = $true) & (eqbreln = $true) & (kpairiskpair = $true) & (subsetE2 = $true) & (woz1_3 = $true) & (iffalse = $true) & (doubleComplementI1 = $true) & (binunionE = $true) & (dpsetconstrEL2 = $true) & (exuE3e = $true) & (upairsetIL = $true) & (demorgan2a = $true) & (lam2lamEq = $true) & (binunionTEcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (complementTI1 = $true) & (emptysetAx = $true) & (setminusERneg = $true) & (cartprodmempaircEq = $true) & (breln1invI = $true) & (setunionI = $true) & (upairsetIR = $true) & (symdiffE = $true) & (cartprodfstin = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (ubforcartprodlem1 = $true) & (ifp = $true) & (setbeta = $true) & (setextsub = $true) & (notdexE = $true) & (nonemptyI1 = $true) & (singletoninpowunion = $true) & (emptysetsubset = $true) & (exuE2 = $true) & (breln1all2 = $true) & (binintersectEL = $true) & (upairset2E = $true) & (symdiffI2 = $true) & (intersectInPowersetIntersectUnions = $true) & (contrasubsetT3 = $true) & (setext = $true) & (lamp = $true) & (infuncsetfunc = $true) & (singletonsuniq = $true) & (funcGraphProp3 = $true) & (sepSubset = $true) & (setadjoinSub2 = $true) & (demorgan1b = $true) & (inIntersectImpInUnion2 = $true) & (demorgan2 = $true) & (iffalseProp2 = $true) & (cartprodpairsurjEq = $true) & (powersetsubset = $true) & (subsetTI = $true) & (binunionT_lem = $true) & (binintersectSubset1 = $true) & (woz13rule1 = $true) & (binintersectSubset5 = $true) & (secondinupair = $true) & (woz13rule4 = $true) & (exuI1 = $true) & (quantDeMorgan4 = $true) & (woz1_1 = $true) & (brelnall2 = $true) & (dpsetconstrI = $true) & (eta2 = $true) & (subPowSU = $true) & (setOfPairsIsBReln1 = $true) & (binintersectTERcontra = $true) & (setunionAx = $true) & (complementT_lem = $true) & (powerset__Cong = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (woz13rule0 = $true) & (breln1unionIL = $true) & (inPowerset = $true) & (setminusSubset1 = $true) & (upairinpowunion = $true) & (binunionRsub = $true) & (binintersectT_lem = $true) & (notinsingleton = $true) & (disjointsetsI1 = $true) & (symdiffIneg1 = $true) & (($true = (breln1 @ sK895 @ sK896)) & (((((in @ (kpair @ sK898 @ sK899) @ (binunion @ sK896 @ sK897)) = $true) & ((sK900 != $true) & (($true != (in @ (kpair @ sK898 @ sK899) @ sK897)) | (sK900 = $true)) & (((in @ (kpair @ sK898 @ sK899) @ sK896) != $true) | (sK900 = $true))) & ((in @ sK899 @ sK895) = $true)) & ($true = (in @ sK898 @ sK895))) & ($true = (breln1 @ sK895 @ sK897)))) & (setunionE2 = $true) & (setadjoin__Cong = $true) & (funcext2 = $true) & (complementTnotintersectT = $true) & (omegaIndAx = $true) & (funcGraphProp2 = $true) & (cartprodpairmemEL = $true) & (demorgan2b = $true) & (setminusT_lem = $true) & (dsetconstrI = $true) & (binintersectSubset3 = $true) & (singletonsubset = $true) & (lam2p = $true) & (nonemptyE1 = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (ubforcartprodlem2 = $true) & (wellorderingAx = $true) & (emptysetimpfalse = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (upairset2IR = $true) & (setadjoinOr = $true) & (exuE3u = $true) & (dpsetconstrEL1 = $true) & (iftrue = $true) & (singletonprop = $true) & (doubleComplementSub2 = $true) & (ap2apEq2 = $true) & (uniqinunit = $true) & (subsetE = $true) & (lamProp = $true) & (omega0Ax = $true) & (replAx = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (notequalI2 = $true) & (binunionIR = $true) & (breln1invprop = $true) & (symdiffI1 = $true) & (foundationAx = $true) & (omega__Cong = $true) & (breln1invE = $true) & (complementSubsetComplementIntersect = $true) & (kpairp = $true) & (setminusI = $true) & (ksndpairEq = $true) & (eqbreln1 = $true) & (binintersectER = $true) & (setukpairinjL2 = $true) & (breln1all1 = $true) & (powersetI = $true) & (demorgan2a1 = $true) & (iftrueorfalse = $true) & (in__Cong = $true) & (vacuousDall = $true) & (binunionTILcontra = $true) & (notdallE = $true) & (funcGraphProp4 = $true) & (setoftrueEq = $true) & (choice2fnsingleton = $true) & (subbreln = $true) & (dsetconstrER = $true) & (setunionsingleton = $true) & (breln1compE = $true) & (bs114d = $true) & (eta1 = $true) & (ksndsingleton = $true) & (cartprodsndin = $true) & (subsetRefl = $true) & (doubleComplementE1 = $true) & (binunionIL = $true) & (descr__Cong = $true) & (beta2 = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (kfstsingleton = $true) & (woz1_2 = $true) & (powersetTE1 = $true) & (dpsetconstrERa = $true) & (woz13rule3 = $true) & (setadjoinE = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR2 = $true) & (theeq = $true) & (dpsetconstrER = $true) & (breln1unionprop = $true) & (ex1I = $true) & (breln1unionIR = $true) & (setukpairinjR11 = $true) & (prop2set2propI = $true) & (breln1compprop = $true) & (contrasubsetT1 = $true) & (emptyInPowerset = $true) & (ap2apEq1 = $true) & (cartprodpairmemER = $true) & (binintersectI = $true)),
% 2.04/0.66    inference(skolemisation,[status(esa),new_symbols(skolem,[sK895,sK896,sK897,sK898,sK899,sK900])],[f1079,f2724,f2723,f2722,f2721,f2720])).
% 2.04/0.66  thf(f2720,plain,(
% 2.04/0.66    ? [X0,X1] : (((breln1 @ X0 @ X1) = $true) & ? [X2] : (? [X3] : (? [X4] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ X2) != $true) | ($true = X5)) & (((in @ (kpair @ X3 @ X4) @ X1) != $true) | ($true = X5))) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ X0) = $true)) & ((breln1 @ X0 @ X2) = $true))) => (($true = (breln1 @ sK895 @ sK896)) & ? [X2] : (? [X3] : (? [X4] : (($true = (in @ (kpair @ X3 @ X4) @ (binunion @ sK896 @ X2))) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ X2) != $true) | ($true = X5)) & (($true != (in @ (kpair @ X3 @ X4) @ sK896)) | ($true = X5))) & ($true = (in @ X4 @ sK895))) & ((in @ X3 @ sK895) = $true)) & ((breln1 @ sK895 @ X2) = $true)))),
% 2.04/0.66    introduced(choice_axiom,[])).
% 2.04/0.66  thf(f2721,plain,(
% 2.04/0.66    ? [X2] : (? [X3] : (? [X4] : (($true = (in @ (kpair @ X3 @ X4) @ (binunion @ sK896 @ X2))) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ X2) != $true) | ($true = X5)) & (($true != (in @ (kpair @ X3 @ X4) @ sK896)) | ($true = X5))) & ($true = (in @ X4 @ sK895))) & ((in @ X3 @ sK895) = $true)) & ((breln1 @ sK895 @ X2) = $true)) => (? [X3] : (? [X4] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK896 @ sK897)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ sK897) != $true) | ($true = X5)) & (($true != (in @ (kpair @ X3 @ X4) @ sK896)) | ($true = X5))) & ($true = (in @ X4 @ sK895))) & ((in @ X3 @ sK895) = $true)) & ($true = (breln1 @ sK895 @ sK897)))),
% 2.04/0.66    introduced(choice_axiom,[])).
% 2.04/0.66  thf(f2722,plain,(
% 2.04/0.66    ? [X3] : (? [X4] : (((in @ (kpair @ X3 @ X4) @ (binunion @ sK896 @ sK897)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ sK897) != $true) | ($true = X5)) & (($true != (in @ (kpair @ X3 @ X4) @ sK896)) | ($true = X5))) & ($true = (in @ X4 @ sK895))) & ((in @ X3 @ sK895) = $true)) => (? [X4] : (((in @ (kpair @ sK898 @ X4) @ (binunion @ sK896 @ sK897)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ sK898 @ X4) @ sK897) != $true) | ($true = X5)) & (((in @ (kpair @ sK898 @ X4) @ sK896) != $true) | ($true = X5))) & ($true = (in @ X4 @ sK895))) & ($true = (in @ sK898 @ sK895)))),
% 2.04/0.66    introduced(choice_axiom,[])).
% 2.04/0.66  thf(f2723,plain,(
% 2.04/0.66    ? [X4] : (((in @ (kpair @ sK898 @ X4) @ (binunion @ sK896 @ sK897)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ sK898 @ X4) @ sK897) != $true) | ($true = X5)) & (((in @ (kpair @ sK898 @ X4) @ sK896) != $true) | ($true = X5))) & ($true = (in @ X4 @ sK895))) => (((in @ (kpair @ sK898 @ sK899) @ (binunion @ sK896 @ sK897)) = $true) & ? [X5 : $o] : (($true != X5) & (($true != (in @ (kpair @ sK898 @ sK899) @ sK897)) | ($true = X5)) & (((in @ (kpair @ sK898 @ sK899) @ sK896) != $true) | ($true = X5))) & ((in @ sK899 @ sK895) = $true))),
% 2.04/0.66    introduced(choice_axiom,[])).
% 2.04/0.66  thf(f2724,plain,(
% 2.04/0.66    ? [X5 : $o] : (($true != X5) & (($true != (in @ (kpair @ sK898 @ sK899) @ sK897)) | ($true = X5)) & (((in @ (kpair @ sK898 @ sK899) @ sK896) != $true) | ($true = X5))) => ((sK900 != $true) & (($true != (in @ (kpair @ sK898 @ sK899) @ sK897)) | (sK900 = $true)) & (((in @ (kpair @ sK898 @ sK899) @ sK896) != $true) | (sK900 = $true)))),
% 2.04/0.66    introduced(choice_axiom,[])).
% 2.04/0.66  thf(f1079,plain,(
% 2.04/0.66    (notsubsetI = $true) & (cartprodmempair = $true) & (eqinunit = $true) & (emptyinunitempty = $true) & (binintersectSubset4 = $true) & (cartprodmempair1 = $true) & (powersetAx = $true) & (emptyset__Cong = $true) & (ex1E2 = $true) & (breln1unionE = $true) & (demorgan2a2 = $true) & (upairsubunion = $true) & (cartprodfstpairEq = $true) & (subsetI2 = $true) & (binunionTE = $true) & (sepInPowerset = $true) & (binintersectSubset2 = $true) & (woz13rule2 = $true) & (setadjoinIL = $true) & (setukpairIR = $true) & (woz1_4 = $true) & (descrp = $true) & (exuI3 = $true) & (setminusELneg = $true) & (subsetI1 = $true) & (ex1E1 = $true) & (setminusSubset2 = $true) & (upairequniteq = $true) & (demorgan1a = $true) & (setminusEL = $true) & (exuE1 = $true) & (binintersectRsub = $true) & (breln1compI = $true) & (binunionEcases = $true) & (kfstpairEq = $true) & (demorgan1 = $true) & (prop2setI = $true) & (complementInPowersetComplementIntersect = $true) & (ap2p = $true) & (cartprodsndpairEq = $true) & (omegaSAx = $true) & (funcGraphProp1 = $true) & (setukpairinjL1 = $true) & (binunionLsub = $true) & (ubforcartprodlem3 = $true) & (cartprodpairin = $true) & (powersetT_lem = $true) & (doubleComplementEq = $true) & (setunionsingleton1 = $true) & (complementImpComplementIntersect = $true) & (contrasubsetT2 = $true) & (kpairsurjEq = $true) & (symdiffIneg2 = $true) & (inIntersectImpInIntersectUnions = $true) & (funcext = $true) & (complementTE1 = $true) & (eqimpsubset2 = $true) & (binunionTIRcontra = $true) & (setukpairinjR = $true) & (emptyinPowerset = $true) & (powersetE1 = $true) & (breln1compEex = $true) & (powersetI1 = $true) & (setextAx = $true) & (inCongP = $true) & (complementUnionInPowersetComplement = $true) & (setunionE = $true) & (setukpairIL = $true) & (setukpairinjR1 = $true) & (funcextLem = $true) & (iftrueProp1 = $true) & (setminusILneg = $true) & (demorgan2b2 = $true) & (iffalseProp1 = $true) & (exu__Cong = $true) & (contrasubsetT = $true) & (singletoninpowerset = $true) & (binintersectTELcontra = $true) & (exuEu = $true) & (inComplementUnionImpNotIn1 = $true) & (emptyI = $true) & (setadjoinIR = $true) & (app = $true) & (apProp = $true) & (exuI2 = $true) & (theprop = $true) & (subbreln1 = $true) & (emptysetE = $true) & (complementTcontraSubset = $true) & (beta1 = $true) & (funcinfuncset = $true) & (quantDeMorgan2 = $true) & (breln1SetBreln1 = $true) & (noeltsimpempty = $true) & (setextT = $true) & (ex1I2 = $true) & (breln1unionI = $true) & (iftrueProp2 = $true) & (setunionsingleton2 = $true) & (emptyE1 = $true) & (woz1_5 = $true) & (dpsetconstrSub = $true) & (nonemptyImpWitness = $true) & (setminusER = $true) & (ifSingleton = $true) & (subsetemptysetimpeq = $true) & (singletonsswitch = $true) & (notinemptyset = $true) & (inIntersectImpInUnion = $true) & (prop2setE = $true) & (powersetTI1 = $true) & (upairsetE = $true) & (binintersectLsub = $true) & (doubleComplementSub1 = $true) & (setukpairinjR12 = $true) & (contraSubsetComplement = $true) & (powersetE = $true) & (funcImageSingleton = $true) & (subset2powerset = $true) & (eqbreln = $true) & (kpairiskpair = $true) & (subsetE2 = $true) & (woz1_3 = $true) & (iffalse = $true) & (doubleComplementI1 = $true) & (binunionE = $true) & (dpsetconstrEL2 = $true) & (exuE3e = $true) & (upairsetIL = $true) & (demorgan2a = $true) & (lam2lamEq = $true) & (binunionTEcontra = $true) & (inComplementUnionImpInComplement1 = $true) & (complementTI1 = $true) & (emptysetAx = $true) & (setminusERneg = $true) & (cartprodmempaircEq = $true) & (breln1invI = $true) & (setunionI = $true) & (upairsetIR = $true) & (symdiffE = $true) & (cartprodfstin = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (ubforcartprodlem1 = $true) & (ifp = $true) & (setbeta = $true) & (setextsub = $true) & (notdexE = $true) & (nonemptyI1 = $true) & (singletoninpowunion = $true) & (emptysetsubset = $true) & (exuE2 = $true) & (breln1all2 = $true) & (binintersectEL = $true) & (upairset2E = $true) & (symdiffI2 = $true) & (intersectInPowersetIntersectUnions = $true) & (contrasubsetT3 = $true) & (setext = $true) & (lamp = $true) & (infuncsetfunc = $true) & (singletonsuniq = $true) & (funcGraphProp3 = $true) & (sepSubset = $true) & (setadjoinSub2 = $true) & (demorgan1b = $true) & (inIntersectImpInUnion2 = $true) & (demorgan2 = $true) & (iffalseProp2 = $true) & (cartprodpairsurjEq = $true) & (powersetsubset = $true) & (subsetTI = $true) & (binunionT_lem = $true) & (binintersectSubset1 = $true) & (woz13rule1 = $true) & (binintersectSubset5 = $true) & (secondinupair = $true) & (woz13rule4 = $true) & (exuI1 = $true) & (quantDeMorgan4 = $true) & (woz1_1 = $true) & (brelnall2 = $true) & (dpsetconstrI = $true) & (eta2 = $true) & (subPowSU = $true) & (setOfPairsIsBReln1 = $true) & (binintersectTERcontra = $true) & (setunionAx = $true) & (complementT_lem = $true) & (powerset__Cong = $true) & (setunion__Cong = $true) & (nonemptyI = $true) & (woz13rule0 = $true) & (breln1unionIL = $true) & (inPowerset = $true) & (setminusSubset1 = $true) & (upairinpowunion = $true) & (binunionRsub = $true) & (binintersectT_lem = $true) & (notinsingleton = $true) & (disjointsetsI1 = $true) & (symdiffIneg1 = $true) & ? [X0,X1] : (((breln1 @ X0 @ X1) = $true) & ? [X2] : (? [X3] : (? [X4] : (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) & ? [X5 : $o] : (($true != X5) & (((in @ (kpair @ X3 @ X4) @ X2) != $true) | ($true = X5)) & (((in @ (kpair @ X3 @ X4) @ X1) != $true) | ($true = X5))) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ X0) = $true)) & ((breln1 @ X0 @ X2) = $true))) & (setunionE2 = $true) & (setadjoin__Cong = $true) & (funcext2 = $true) & (complementTnotintersectT = $true) & (omegaIndAx = $true) & (funcGraphProp2 = $true) & (cartprodpairmemEL = $true) & (demorgan2b = $true) & (setminusT_lem = $true) & (dsetconstrI = $true) & (binintersectSubset3 = $true) & (singletonsubset = $true) & (lam2p = $true) & (nonemptyE1 = $true) & (brelnall1 = $true) & (subsetTrans = $true) & (ubforcartprodlem2 = $true) & (wellorderingAx = $true) & (emptysetimpfalse = $true) & (setadjoinAx = $true) & (eqimpsubset1 = $true) & (notequalI1 = $true) & (upairset2IR = $true) & (setadjoinOr = $true) & (exuE3u = $true) & (dpsetconstrEL1 = $true) & (iftrue = $true) & (singletonprop = $true) & (doubleComplementSub2 = $true) & (ap2apEq2 = $true) & (uniqinunit = $true) & (subsetE = $true) & (lamProp = $true) & (omega0Ax = $true) & (replAx = $true) & (setminusLsub = $true) & (setminusIRneg = $true) & (notequalI2 = $true) & (binunionIR = $true) & (breln1invprop = $true) & (symdiffI1 = $true) & (foundationAx = $true) & (omega__Cong = $true) & (breln1invE = $true) & (complementSubsetComplementIntersect = $true) & (kpairp = $true) & (setminusI = $true) & (ksndpairEq = $true) & (eqbreln1 = $true) & (binintersectER = $true) & (setukpairinjL2 = $true) & (breln1all1 = $true) & (powersetI = $true) & (demorgan2a1 = $true) & (iftrueorfalse = $true) & (in__Cong = $true) & (vacuousDall = $true) & (binunionTILcontra = $true) & (notdallE = $true) & (funcGraphProp4 = $true) & (setoftrueEq = $true) & (choice2fnsingleton = $true) & (subbreln = $true) & (dsetconstrER = $true) & (setunionsingleton = $true) & (breln1compE = $true) & (bs114d = $true) & (eta1 = $true) & (ksndsingleton = $true) & (cartprodsndin = $true) & (subsetRefl = $true) & (doubleComplementE1 = $true) & (binunionIL = $true) & (descr__Cong = $true) & (beta2 = $true) & (quantDeMorgan1 = $true) & (quantDeMorgan3 = $true) & (setukpairinjL = $true) & (dsetconstr__Cong = $true) & (kfstsingleton = $true) & (woz1_2 = $true) & (powersetTE1 = $true) & (dpsetconstrERa = $true) & (woz13rule3 = $true) & (setadjoinE = $true) & (setOfPairsIsBReln = $true) & (setukpairinjR2 = $true) & (theeq = $true) & (dpsetconstrER = $true) & (breln1unionprop = $true) & (ex1I = $true) & (breln1unionIR = $true) & (setukpairinjR11 = $true) & (prop2set2propI = $true) & (breln1compprop = $true) & (contrasubsetT1 = $true) & (emptyInPowerset = $true) & (ap2apEq1 = $true) & (cartprodpairmemER = $true) & (binintersectI = $true)),
% 2.04/0.66    inference(flattening,[],[f1078])).
% 2.04/0.66  thf(f1078,plain,(
% 2.04/0.66    ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1] : (? [X2] : (? [X3] : (? [X4] : ((? [X5 : $o] : ((($true != X5) & (((in @ (kpair @ X3 @ X4) @ X2) != $true) | ($true = X5))) & (((in @ (kpair @ X3 @ X4) @ X1) != $true) | ($true = X5))) & ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true)) & ((in @ X4 @ X0) = $true)) & ((in @ X3 @ X0) = $true)) & ((breln1 @ X0 @ X2) = $true)) & ((breln1 @ X0 @ X1) = $true)) & (breln1unionE = $true)) & (breln1unionI = $true)) & (breln1unionIR = $true)) & (breln1unionIL = $true)) & (breln1unionprop = $true)) & (breln1compEex = $true)) & (breln1compE = $true)) & (breln1compI = $true)) & (breln1compprop = $true)) & (breln1invE = $true)) & (breln1invI = $true)) & (breln1invprop = $true)) & (eqbreln1 = $true)) & (subbreln1 = $true)) & (breln1all1 = $true)) & (setOfPairsIsBReln1 = $true)) & (choice2fnsingleton = $true)) & (breln1SetBreln1 = $true)) & (breln1all2 = $true)) & (woz1_5 = $true)) & (woz1_4 = $true)) & (woz1_3 = $true)) & (woz1_2 = $true)) & (woz1_1 = $true)) & (woz13rule4 = $true)) & (woz13rule3 = $true)) & (woz13rule2 = $true)) & (woz13rule1 = $true)) & (woz13rule0 = $true)) & (demorgan2 = $true)) & (demorgan2b = $true)) & (demorgan2b2 = $true)) & (demorgan2a = $true)) & (demorgan1 = $true)) & (demorgan1b = $true)) & (demorgan1a = $true)) & (demorgan2a2 = $true)) & (complementUnionInPowersetComplement = $true)) & (demorgan2a1 = $true)) & (binunionTEcontra = $true)) & (binunionTE = $true)) & (inComplementUnionImpInComplement1 = $true)) & (inComplementUnionImpNotIn1 = $true)) & (intersectInPowersetIntersectUnions = $true)) & (inIntersectImpInIntersectUnions = $true)) & (inIntersectImpInUnion2 = $true)) & (inIntersectImpInUnion = $true)) & (binunionTIRcontra = $true)) & (binunionTILcontra = $true)) & (complementTcontraSubset = $true)) & (contraSubsetComplement = $true)) & (complementInPowersetComplementIntersect = $true)) & (complementSubsetComplementIntersect = $true)) & (complementImpComplementIntersect = $true)) & (complementTnotintersectT = $true)) & (doubleComplementEq = $true)) & (doubleComplementSub2 = $true)) & (doubleComplementSub1 = $true)) & (doubleComplementE1 = $true)) & (doubleComplementI1 = $true)) & (contrasubsetT3 = $true)) & (contrasubsetT2 = $true)) & (contrasubsetT1 = $true)) & (contrasubsetT = $true)) & (binintersectTERcontra = $true)) & (binintersectTELcontra = $true)) & (complementTE1 = $true)) & (complementTI1 = $true)) & (powersetTE1 = $true)) & (powersetTI1 = $true)) & (subsetTI = $true)) & (setextT = $true)) & (complementT_lem = $true)) & (setminusT_lem = $true)) & (powersetT_lem = $true)) & (binunionT_lem = $true)) & (binintersectT_lem = $true)) & (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)),
% 2.04/0.67    inference(ennf_transformation,[],[f798])).
% 2.04/0.67  thf(f798,plain,(
% 2.04/0.67    ~((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) => ((binintersectT_lem = $true) => ((binunionT_lem = $true) => ((powersetT_lem = $true) => ((setminusT_lem = $true) => ((complementT_lem = $true) => ((setextT = $true) => ((subsetTI = $true) => ((powersetTI1 = $true) => ((powersetTE1 = $true) => ((complementTI1 = $true) => ((complementTE1 = $true) => ((binintersectTELcontra = $true) => ((binintersectTERcontra = $true) => ((contrasubsetT = $true) => ((contrasubsetT1 = $true) => ((contrasubsetT2 = $true) => ((contrasubsetT3 = $true) => ((doubleComplementI1 = $true) => ((doubleComplementE1 = $true) => ((doubleComplementSub1 = $true) => ((doubleComplementSub2 = $true) => ((doubleComplementEq = $true) => ((complementTnotintersectT = $true) => ((complementImpComplementIntersect = $true) => ((complementSubsetComplementIntersect = $true) => ((complementInPowersetComplementIntersect = $true) => ((contraSubsetComplement = $true) => ((complementTcontraSubset = $true) => ((binunionTILcontra = $true) => ((binunionTIRcontra = $true) => ((inIntersectImpInUnion = $true) => ((inIntersectImpInUnion2 = $true) => ((inIntersectImpInIntersectUnions = $true) => ((intersectInPowersetIntersectUnions = $true) => ((inComplementUnionImpNotIn1 = $true) => ((inComplementUnionImpInComplement1 = $true) => ((binunionTE = $true) => ((binunionTEcontra = $true) => ((demorgan2a1 = $true) => ((complementUnionInPowersetComplement = $true) => ((demorgan2a2 = $true) => ((demorgan1a = $true) => ((demorgan1b = $true) => ((demorgan1 = $true) => ((demorgan2a = $true) => ((demorgan2b2 = $true) => ((demorgan2b = $true) => ((demorgan2 = $true) => ((woz13rule0 = $true) => ((woz13rule1 = $true) => ((woz13rule2 = $true) => ((woz13rule3 = $true) => ((woz13rule4 = $true) => ((woz1_1 = $true) => ((woz1_2 = $true) => ((woz1_3 = $true) => ((woz1_4 = $true) => ((woz1_5 = $true) => ((breln1all2 = $true) => ((breln1SetBreln1 = $true) => ((choice2fnsingleton = $true) => ((setOfPairsIsBReln1 = $true) => ((breln1all1 = $true) => ((subbreln1 = $true) => ((eqbreln1 = $true) => ((breln1invprop = $true) => ((breln1invI = $true) => ((breln1invE = $true) => ((breln1compprop = $true) => ((breln1compI = $true) => ((breln1compE = $true) => ((breln1compEex = $true) => ((breln1unionprop = $true) => ((breln1unionIL = $true) => ((breln1unionIR = $true) => ((breln1unionI = $true) => ((breln1unionE = $true) => ! [X0,X1] : (((breln1 @ X0 @ X1) = $true) => ! [X2] : (((breln1 @ X0 @ X2) = $true) => ! [X3] : (((in @ X3 @ X0) = $true) => ! [X4] : (((in @ X4 @ X0) = $true) => (((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) = $true) => ! [X5 : $o] : ((((in @ (kpair @ X3 @ X4) @ X1) = $true) => ($true = X5)) => ((((in @ (kpair @ X3 @ X4) @ X2) = $true) => ($true = X5)) => ($true = X5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.04/0.67    inference(fool_elimination,[],[f797])).
% 2.04/0.67  thf(f797,plain,(
% 2.04/0.67    ~(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 => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => ! [X0,X1] : ((breln1 @ X0 @ X1) => ! [X2] : ((breln1 @ X0 @ X2) => ! [X3] : ((in @ X3 @ X0) => ! [X4] : ((in @ X4 @ X0) => ((in @ (kpair @ X3 @ X4) @ (binunion @ X1 @ X2)) => ! [X5 : $o] : (((in @ (kpair @ X3 @ X4) @ X1) => X5) => (((in @ (kpair @ X3 @ X4) @ X2) => X5) => X5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.04/0.67    inference(rectify,[],[f307])).
% 2.04/0.67  thf(f307,negated_conjecture,(
% 2.04/0.67    ~(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 => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ! [X0 : $o] : (((in @ (kpair @ X1 @ X2) @ X13) => X0) => (((in @ (kpair @ X1 @ X2) @ X15) => X0) => X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.04/0.67    inference(negated_conjecture,[],[f306])).
% 2.04/0.67  thf(f306,conjecture,(
% 2.04/0.67    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 => (binintersectT_lem => (binunionT_lem => (powersetT_lem => (setminusT_lem => (complementT_lem => (setextT => (subsetTI => (powersetTI1 => (powersetTE1 => (complementTI1 => (complementTE1 => (binintersectTELcontra => (binintersectTERcontra => (contrasubsetT => (contrasubsetT1 => (contrasubsetT2 => (contrasubsetT3 => (doubleComplementI1 => (doubleComplementE1 => (doubleComplementSub1 => (doubleComplementSub2 => (doubleComplementEq => (complementTnotintersectT => (complementImpComplementIntersect => (complementSubsetComplementIntersect => (complementInPowersetComplementIntersect => (contraSubsetComplement => (complementTcontraSubset => (binunionTILcontra => (binunionTIRcontra => (inIntersectImpInUnion => (inIntersectImpInUnion2 => (inIntersectImpInIntersectUnions => (intersectInPowersetIntersectUnions => (inComplementUnionImpNotIn1 => (inComplementUnionImpInComplement1 => (binunionTE => (binunionTEcontra => (demorgan2a1 => (complementUnionInPowersetComplement => (demorgan2a2 => (demorgan1a => (demorgan1b => (demorgan1 => (demorgan2a => (demorgan2b2 => (demorgan2b => (demorgan2 => (woz13rule0 => (woz13rule1 => (woz13rule2 => (woz13rule3 => (woz13rule4 => (woz1_1 => (woz1_2 => (woz1_3 => (woz1_4 => (woz1_5 => (breln1all2 => (breln1SetBreln1 => (choice2fnsingleton => (setOfPairsIsBReln1 => (breln1all1 => (subbreln1 => (eqbreln1 => (breln1invprop => (breln1invI => (breln1invE => (breln1compprop => (breln1compI => (breln1compE => (breln1compEex => (breln1unionprop => (breln1unionIL => (breln1unionIR => (breln1unionI => (breln1unionE => ! [X3,X13] : ((breln1 @ X3 @ X13) => ! [X15] : ((breln1 @ X3 @ X15) => ! [X1] : ((in @ X1 @ X3) => ! [X2] : ((in @ X2 @ X3) => ((in @ (kpair @ X1 @ X2) @ (binunion @ X13 @ X15)) => ! [X0 : $o] : (((in @ (kpair @ X1 @ X2) @ X13) => X0) => (((in @ (kpair @ X1 @ X2) @ X15) => X0) => X0)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 2.04/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p',breln1unionEcases)).
% 2.04/0.67  thf(f4868,plain,(
% 2.04/0.67    (binunionE != $true) | ((in @ (kpair @ sK898 @ sK899) @ sK896) = $true) | ($true = (in @ (kpair @ sK898 @ sK899) @ sK897))),
% 2.04/0.67    inference(trivial_inequality_removal,[],[f4862])).
% 2.04/0.67  thf(f4862,plain,(
% 2.04/0.67    ((in @ (kpair @ sK898 @ sK899) @ sK896) = $true) | ($true != $true) | ($true = (in @ (kpair @ sK898 @ sK899) @ sK897)) | (binunionE != $true)),
% 2.04/0.67    inference(superposition,[],[f4498,f4226])).
% 2.04/0.67  thf(f4226,plain,(
% 2.04/0.67    ((in @ (kpair @ sK898 @ sK899) @ (binunion @ sK896 @ sK897)) = $true)),
% 2.04/0.67    inference(cnf_transformation,[],[f2725])).
% 2.04/0.67  thf(f4498,plain,(
% 2.04/0.67    ( ! [X3 : $i,X4 : $i,X5 : $i] : (((in @ X5 @ (binunion @ X4 @ X3)) != $true) | ($true = (in @ X5 @ X3)) | ((in @ X5 @ X4) = $true) | (binunionE != $true)) )),
% 2.04/0.67    inference(cnf_transformation,[],[f2798])).
% 2.04/0.67  thf(f2798,plain,(
% 2.04/0.67    ((binunionE = $true) | (((in @ sK951 @ sK949) != $true) & ((in @ sK951 @ (binunion @ sK950 @ sK949)) = $true) & ((in @ sK951 @ sK950) != $true))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ((in @ X5 @ (binunion @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true)) | (binunionE != $true))),
% 2.04/0.67    inference(skolemisation,[status(esa),new_symbols(skolem,[sK949,sK950,sK951])],[f2796,f2797])).
% 2.04/0.67  thf(f2797,plain,(
% 2.04/0.67    ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true)) => (((in @ sK951 @ sK949) != $true) & ((in @ sK951 @ (binunion @ sK950 @ sK949)) = $true) & ((in @ sK951 @ sK950) != $true))),
% 2.04/0.67    introduced(choice_axiom,[])).
% 2.04/0.67  thf(f2796,plain,(
% 2.04/0.67    ((binunionE = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true))) & (! [X3,X4,X5] : (($true = (in @ X5 @ X3)) | ((in @ X5 @ (binunion @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true)) | (binunionE != $true))),
% 2.04/0.67    inference(rectify,[],[f2795])).
% 2.04/0.67  thf(f2795,plain,(
% 2.04/0.67    ((binunionE = $true) | ? [X0,X1,X2] : (((in @ X2 @ X0) != $true) & ((in @ X2 @ (binunion @ X1 @ X0)) = $true) & ((in @ X2 @ X1) != $true))) & (! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (binunion @ X1 @ X0)) != $true) | ((in @ X2 @ X1) = $true)) | (binunionE != $true))),
% 2.04/0.67    inference(nnf_transformation,[],[f1096])).
% 2.04/0.67  thf(f1096,plain,(
% 2.04/0.67    (binunionE = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ X0) = $true) | ((in @ X2 @ (binunion @ X1 @ X0)) != $true) | ((in @ X2 @ X1) = $true))),
% 2.04/0.67    inference(flattening,[],[f1095])).
% 2.04/0.67  thf(f1095,plain,(
% 2.04/0.67    (binunionE = $true) <=> ! [X0,X1,X2] : ((((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) = $true)) | ((in @ X2 @ (binunion @ X1 @ X0)) != $true))),
% 2.04/0.67    inference(ennf_transformation,[],[f342])).
% 2.04/0.67  thf(f342,plain,(
% 2.04/0.67    (binunionE = $true) <=> ! [X0,X1,X2] : (((in @ X2 @ (binunion @ X1 @ X0)) = $true) => (((in @ X2 @ X1) = $true) | ((in @ X2 @ X0) = $true)))),
% 2.04/0.67    inference(fool_elimination,[],[f341])).
% 2.04/0.67  thf(f341,plain,(
% 2.04/0.67    (! [X0,X1,X2] : ((in @ X2 @ (binunion @ X1 @ X0)) => ((in @ X2 @ X0) | (in @ X2 @ X1))) = binunionE)),
% 2.04/0.67    inference(rectify,[],[f105])).
% 2.04/0.67  thf(f105,axiom,(
% 2.04/0.67    (! [X4,X3,X1] : ((in @ X1 @ (binunion @ X3 @ X4)) => ((in @ X1 @ X4) | (in @ X1 @ X3))) = binunionE)),
% 2.04/0.67    file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionE)).
% 2.04/0.67  thf(f4792,plain,(
% 2.04/0.67    ~spl1023_2),
% 2.04/0.67    inference(avatar_split_clause,[],[f4225,f4783])).
% 2.04/0.67  thf(f4783,plain,(
% 2.04/0.67    spl1023_2 <=> (sK900 = $true)),
% 2.04/0.67    introduced(avatar_definition,[new_symbols(naming,[spl1023_2])])).
% 2.04/0.67  thf(f4225,plain,(
% 2.04/0.67    (sK900 != $true)),
% 2.04/0.67    inference(cnf_transformation,[],[f2725])).
% 2.04/0.67  thf(f4791,plain,(
% 2.04/0.67    ~spl1023_3 | spl1023_2),
% 2.04/0.67    inference(avatar_split_clause,[],[f4223,f4783,f4788])).
% 2.04/0.67  thf(f4223,plain,(
% 2.04/0.67    ((in @ (kpair @ sK898 @ sK899) @ sK896) != $true) | (sK900 = $true)),
% 2.04/0.67    inference(cnf_transformation,[],[f2725])).
% 2.04/0.67  thf(f4786,plain,(
% 2.04/0.67    ~spl1023_1 | spl1023_2),
% 2.04/0.67    inference(avatar_split_clause,[],[f4224,f4783,f4779])).
% 2.04/0.67  thf(f4224,plain,(
% 2.04/0.67    (sK900 = $true) | ($true != (in @ (kpair @ sK898 @ sK899) @ sK897))),
% 2.04/0.67    inference(cnf_transformation,[],[f2725])).
% 2.04/0.67  % SZS output end Proof for theBenchmark
% 2.04/0.67  % (23099)------------------------------
% 2.04/0.67  % (23099)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.04/0.67  % (23099)Termination reason: Refutation
% 2.04/0.67  
% 2.04/0.67  % (23099)Memory used [KB]: 11385
% 2.04/0.67  % (23099)Time elapsed: 0.204 s
% 2.04/0.67  % (23099)Instructions burned: 412 (million)
% 2.04/0.67  % (23099)------------------------------
% 2.04/0.67  % (23099)------------------------------
% 2.04/0.67  % (23076)Success in time 0.316 s
% 2.04/0.67  % Vampire---4.8 exiting
%------------------------------------------------------------------------------