0.12/0.20 % Problem : Vampire---4.8_4913 : TPTP v0.0.0. Released v0.0.0. 0.12/0.21 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.22/0.42 % Computer : n012.cluster.edu 0.22/0.42 % Model : x86_64 x86_64 0.22/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.22/0.42 % Memory : 8042.1875MB 0.22/0.42 % OS : Linux 3.10.0-693.el7.x86_64 0.22/0.42 % CPULimit : 1440 0.22/0.42 % WCLimit : 180 0.22/0.42 % DateTime : Mon Jul 3 12:55:52 EDT 2023 0.22/0.43 % CPUTime : 0.22/0.43 This is a THF_ problem 0.22/0.43 Running vampire_rel_static_ahmed-new-hol_6848 --cores 8 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.gKP4WcE5jr/Vampire---4.8_4913 -m 12000 -t 180 0.22/0.48 % (5158)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi) 0.22/0.48 % (5160)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=34:si=on:rtra=on_0 on Vampire---4 for (1799ds/34Mi) 0.22/0.48 % (5161)lrs+1002_1:1_au=on:s2a=on:s2agt=32:sgt=8:ss=axioms:i=385:si=on:rtra=on_0 on Vampire---4 for (1799ds/385Mi) 0.22/0.48 % (5162)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi) 0.22/0.48 % (5163)ott+1010_1:1_cnfonf=lazy_gen:fe=off:kws=inv_arity:plsq=on:plsqc=1:plsqr=32,1:prag=on:sp=const_frequency:i=74:si=on:rtra=on_0 on Vampire---4 for (1799ds/74Mi) 0.22/0.48 % (5164)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (1799ds/4Mi) 0.22/0.48 % (5159)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi) 0.22/0.48 % (5165)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=915:si=on:rtra=on_0 on Vampire---4 for (1799ds/915Mi) 0.28/0.48 % (5164)Instruction limit reached! 0.28/0.48 % (5164)------------------------------ 0.28/0.48 % (5164)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.48 % (5164)Termination reason: Unknown 0.28/0.48 % (5164)Termination phase: shuffling 0.28/0.48 0.28/0.48 % (5164)Memory used [KB]: 1663 0.28/0.48 % (5164)Time elapsed: 0.004 s 0.28/0.48 % (5164)Instructions burned: 4 (million) 0.28/0.48 % (5164)------------------------------ 0.28/0.48 % (5164)------------------------------ 0.28/0.49 % (5162)Instruction limit reached! 0.28/0.49 % (5162)------------------------------ 0.28/0.49 % (5162)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.49 % (5162)Termination reason: Unknown 0.28/0.49 % (5162)Termination phase: shuffling 0.28/0.49 0.28/0.49 % (5162)Memory used [KB]: 1918 0.28/0.49 % (5162)Time elapsed: 0.011 s 0.28/0.49 % (5162)Instructions burned: 18 (million) 0.28/0.49 % (5162)------------------------------ 0.28/0.49 % (5162)------------------------------ 0.28/0.49 % (5160)Instruction limit reached! 0.28/0.49 % (5160)------------------------------ 0.28/0.49 % (5160)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.49 % (5160)Termination reason: Unknown 0.28/0.49 % (5160)Termination phase: shuffling 0.28/0.49 0.28/0.49 % (5160)Memory used [KB]: 2302 0.28/0.49 % (5160)Time elapsed: 0.019 s 0.28/0.49 % (5160)Instructions burned: 34 (million) 0.28/0.49 % (5160)------------------------------ 0.28/0.49 % (5160)------------------------------ 0.28/0.49 % (5166)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on Vampire---4 for (1799ds/21Mi) 0.28/0.50 % (5159)Instruction limit reached! 0.28/0.50 % (5159)------------------------------ 0.28/0.50 % (5159)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.50 % (5159)Termination reason: Unknown 0.28/0.50 % (5159)Termination phase: shuffling 0.28/0.50 0.28/0.50 % (5159)Memory used [KB]: 2302 0.28/0.50 % (5159)Time elapsed: 0.021 s 0.28/0.50 % (5159)Instructions burned: 36 (million) 0.28/0.50 % (5159)------------------------------ 0.28/0.50 % (5159)------------------------------ 0.28/0.50 % (5168)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi) 0.28/0.51 % (5168)Instruction limit reached! 0.28/0.51 % (5168)------------------------------ 0.28/0.51 % (5168)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.51 % (5166)Instruction limit reached! 0.28/0.51 % (5166)------------------------------ 0.28/0.51 % (5166)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.51 % (5166)Termination reason: Unknown 0.28/0.51 % (5166)Termination phase: shuffling 0.28/0.51 0.28/0.51 % (5166)Memory used [KB]: 2046 0.28/0.51 % (5166)Time elapsed: 0.013 s 0.28/0.51 % (5166)Instructions burned: 22 (million) 0.28/0.51 % (5166)------------------------------ 0.28/0.51 % (5166)------------------------------ 0.28/0.51 % (5168)Termination reason: Unknown 0.28/0.51 % (5168)Termination phase: shuffling 0.28/0.51 0.28/0.51 % (5168)Memory used [KB]: 1663 0.28/0.51 % (5168)Time elapsed: 0.006 s 0.28/0.51 % (5168)Instructions burned: 7 (million) 0.28/0.51 % (5168)------------------------------ 0.28/0.51 % (5168)------------------------------ 0.28/0.51 % (5172)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on Vampire---4 for (1799ds/1021Mi) 0.28/0.51 % (5173)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on Vampire---4 for (1799ds/71Mi) 0.28/0.52 % (5163)Instruction limit reached! 0.28/0.52 % (5163)------------------------------ 0.28/0.52 % (5163)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.52 % (5163)Termination reason: Unknown 0.28/0.52 % (5163)Termination phase: Property scanning 0.28/0.52 0.28/0.52 % (5163)Memory used [KB]: 2686 0.28/0.52 % (5163)Time elapsed: 0.044 s 0.28/0.52 % (5163)Instructions burned: 74 (million) 0.28/0.52 % (5163)------------------------------ 0.28/0.52 % (5163)------------------------------ 0.28/0.52 % (5177)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=1044:si=on:rtra=on_0 on Vampire---4 for (1799ds/1044Mi) 0.28/0.52 % (5176)lrs-1010_1:50_au=on:awrs=converge:awrsf=430:bet=on:cbe=off:cha=on:nm=20:sac=on:i=9:si=on:rtra=on_0 on Vampire---4 for (1799ds/9Mi) 0.28/0.53 % (5176)Instruction limit reached! 0.28/0.53 % (5176)------------------------------ 0.28/0.53 % (5176)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.53 % (5176)Termination reason: Unknown 0.28/0.53 % (5176)Termination phase: shuffling 0.28/0.53 0.28/0.53 % (5176)Memory used [KB]: 1663 0.28/0.53 % (5176)Time elapsed: 0.008 s 0.28/0.53 % (5176)Instructions burned: 9 (million) 0.28/0.53 % (5176)------------------------------ 0.28/0.53 % (5176)------------------------------ 0.28/0.53 % (5158)Instruction limit reached! 0.28/0.53 % (5158)------------------------------ 0.28/0.53 % (5158)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.53 % (5158)Termination reason: Unknown 0.28/0.53 % (5158)Termination phase: Property scanning 0.28/0.53 0.28/0.53 % (5158)Memory used [KB]: 2686 0.28/0.53 % (5158)Time elapsed: 0.057 s 0.28/0.53 % (5158)Instructions burned: 97 (million) 0.28/0.53 % (5158)------------------------------ 0.28/0.53 % (5158)------------------------------ 0.28/0.54 % (5180)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=128:si=on:rtra=on_0 on Vampire---4 for (1799ds/128Mi) 0.28/0.55 % (5184)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi) 0.28/0.55 % (5173)Instruction limit reached! 0.28/0.55 % (5173)------------------------------ 0.28/0.55 % (5173)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.55 % (5173)Termination reason: Unknown 0.28/0.55 % (5173)Termination phase: Property scanning 0.28/0.55 0.28/0.55 % (5173)Memory used [KB]: 2686 0.28/0.55 % (5173)Time elapsed: 0.038 s 0.28/0.55 % (5173)Instructions burned: 72 (million) 0.28/0.55 % (5173)------------------------------ 0.28/0.55 % (5173)------------------------------ 0.28/0.55 % (5188)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi) 0.28/0.56 % (5188)Instruction limit reached! 0.28/0.56 % (5188)------------------------------ 0.28/0.56 % (5188)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.56 % (5188)Termination reason: Unknown 0.28/0.56 % (5188)Termination phase: shuffling 0.28/0.56 0.28/0.56 % (5188)Memory used [KB]: 1791 0.28/0.56 % (5188)Time elapsed: 0.011 s 0.28/0.56 % (5188)Instructions burned: 14 (million) 0.28/0.56 % (5188)------------------------------ 0.28/0.56 % (5188)------------------------------ 0.28/0.56 % (5199)lrs+2_5:1_cnfonf=lazy_not_be_gen:hud=10:inj=on:ntd=on:tnu=1:i=2:si=on:rtra=on_0 on Vampire---4 for (1798ds/2Mi) 0.28/0.57 % (5199)Instruction limit reached! 0.28/0.57 % (5199)------------------------------ 0.28/0.57 % (5199)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.57 % (5199)Termination reason: Unknown 0.28/0.57 % (5199)Termination phase: shuffling 0.28/0.57 0.28/0.57 % (5199)Memory used [KB]: 1663 0.28/0.57 % (5199)Time elapsed: 0.004 s 0.28/0.57 % (5199)Instructions burned: 3 (million) 0.28/0.57 % (5199)------------------------------ 0.28/0.57 % (5199)------------------------------ 0.28/0.58 % (5202)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on Vampire---4 for (1798ds/1041Mi) 0.28/0.59 % (5184)Instruction limit reached! 0.28/0.59 % (5184)------------------------------ 0.28/0.59 % (5184)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.59 % (5184)Termination reason: Unknown 0.28/0.59 % (5184)Termination phase: Preprocessing 2 0.28/0.59 0.28/0.59 % (5184)Memory used [KB]: 2558 0.28/0.59 % (5184)Time elapsed: 0.041 s 0.28/0.59 % (5184)Instructions burned: 61 (million) 0.28/0.59 % (5184)------------------------------ 0.28/0.59 % (5184)------------------------------ 0.28/0.59 % (5180)Instruction limit reached! 0.28/0.59 % (5180)------------------------------ 0.28/0.59 % (5180)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 0.28/0.59 % (5180)Termination reason: Unknown 0.28/0.59 % (5180)Termination phase: Property scanning 0.28/0.59 0.28/0.59 % (5180)Memory used [KB]: 2942 0.28/0.59 % (5180)Time elapsed: 0.054 s 0.28/0.59 % (5180)Instructions burned: 131 (million) 0.28/0.59 % (5180)------------------------------ 0.28/0.59 % (5180)------------------------------ 0.28/0.60 % (5206)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on Vampire---4 for (1798ds/11Mi) 0.28/0.60 % (5225)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=26:si=on:rtra=on_0 on Vampire---4 for (1798ds/26Mi) 1.21/0.60 % (5221)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on Vampire---4 for (1798ds/140Mi) 1.21/0.60 % (5206)Instruction limit reached! 1.21/0.60 % (5206)------------------------------ 1.21/0.60 % (5206)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.21/0.60 % (5206)Termination reason: Unknown 1.21/0.60 % (5206)Termination phase: shuffling 1.21/0.60 1.21/0.60 % (5206)Memory used [KB]: 1791 1.21/0.60 % (5206)Time elapsed: 0.008 s 1.21/0.60 % (5206)Instructions burned: 12 (million) 1.21/0.60 % (5206)------------------------------ 1.21/0.60 % (5206)------------------------------ 1.21/0.61 % (5225)Instruction limit reached! 1.21/0.61 % (5225)------------------------------ 1.21/0.61 % (5225)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.21/0.61 % (5225)Termination reason: Unknown 1.21/0.61 % (5225)Termination phase: shuffling 1.21/0.61 1.21/0.61 % (5225)Memory used [KB]: 2174 1.21/0.61 % (5225)Time elapsed: 0.010 s 1.21/0.61 % (5225)Instructions burned: 29 (million) 1.21/0.61 % (5225)------------------------------ 1.21/0.61 % (5225)------------------------------ 1.21/0.61 % (5231)lrs+1002_1:4_au=on:av=off:bsr=on:cbe=off:nm=2:i=56:si=on:rtra=on_0 on Vampire---4 for (1798ds/56Mi) 1.21/0.62 % (5235)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (1798ds/275Mi) 1.41/0.63 % (5231)Instruction limit reached! 1.41/0.63 % (5231)------------------------------ 1.41/0.63 % (5231)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.63 % (5231)Termination reason: Unknown 1.41/0.63 % (5231)Termination phase: shuffling 1.41/0.63 1.41/0.63 % (5231)Memory used [KB]: 2686 1.41/0.63 % (5231)Time elapsed: 0.019 s 1.41/0.63 % (5231)Instructions burned: 58 (million) 1.41/0.63 % (5231)------------------------------ 1.41/0.63 % (5231)------------------------------ 1.41/0.64 % (5251)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.41/0.64 % (5161)Instruction limit reached! 1.41/0.64 % (5161)------------------------------ 1.41/0.64 % (5161)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.64 % (5161)Termination reason: Unknown 1.41/0.64 % (5161)Termination phase: Saturation 1.41/0.64 1.41/0.64 % (5161)Memory used [KB]: 9338 1.41/0.64 % (5161)Time elapsed: 0.164 s 1.41/0.64 % (5161)Instructions burned: 385 (million) 1.41/0.64 % (5161)------------------------------ 1.41/0.64 % (5161)------------------------------ 1.41/0.64 % (5251)Instruction limit reached! 1.41/0.64 % (5251)------------------------------ 1.41/0.64 % (5251)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.41/0.64 % (5251)Termination reason: Unknown 1.41/0.64 % (5251)Termination phase: shuffling 1.41/0.64 1.41/0.64 % (5251)Memory used [KB]: 1663 1.41/0.64 % (5251)Time elapsed: 0.003 s 1.41/0.64 % (5251)Instructions burned: 5 (million) 1.41/0.64 % (5251)------------------------------ 1.41/0.64 % (5251)------------------------------ 1.60/0.65 % (5256)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on Vampire---4 for (1797ds/19Mi) 1.60/0.65 % (5257)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on Vampire---4 for (1797ds/44Mi) 1.60/0.65 % (5256)Instruction limit reached! 1.60/0.65 % (5256)------------------------------ 1.60/0.65 % (5256)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.65 % (5256)Termination reason: Unknown 1.60/0.65 % (5256)Termination phase: shuffling 1.60/0.65 1.60/0.65 % (5256)Memory used [KB]: 1918 1.60/0.65 % (5256)Time elapsed: 0.007 s 1.60/0.65 % (5256)Instructions burned: 20 (million) 1.60/0.65 % (5256)------------------------------ 1.60/0.65 % (5256)------------------------------ 1.60/0.66 % (5221)Instruction limit reached! 1.60/0.66 % (5221)------------------------------ 1.60/0.66 % (5221)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.66 % (5221)Termination reason: Unknown 1.60/0.66 % (5221)Termination phase: Property scanning 1.60/0.66 1.60/0.66 % (5221)Memory used [KB]: 2942 1.60/0.66 % (5221)Time elapsed: 0.056 s 1.60/0.66 % (5221)Instructions burned: 141 (million) 1.60/0.66 % (5221)------------------------------ 1.60/0.66 % (5221)------------------------------ 1.60/0.66 % (5257)Instruction limit reached! 1.60/0.66 % (5257)------------------------------ 1.60/0.66 % (5257)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.66 % (5257)Termination reason: Unknown 1.60/0.66 % (5257)Termination phase: shuffling 1.60/0.66 1.60/0.66 % (5257)Memory used [KB]: 2430 1.60/0.66 % (5257)Time elapsed: 0.014 s 1.60/0.66 % (5257)Instructions burned: 44 (million) 1.60/0.66 % (5257)------------------------------ 1.60/0.66 % (5257)------------------------------ 1.60/0.66 % (5258)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1797ds/191Mi) 1.60/0.67 % (5260)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=105:si=on:rtra=on_0 on Vampire---4 for (1797ds/105Mi) 1.60/0.67 % (5259)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on Vampire---4 for (1797ds/62Mi) 1.60/0.70 % (5259)Instruction limit reached! 1.60/0.70 % (5259)------------------------------ 1.60/0.70 % (5259)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.70 % (5259)Termination reason: Unknown 1.60/0.70 % (5259)Termination phase: shuffling 1.60/0.70 1.60/0.70 % (5259)Memory used [KB]: 2686 1.60/0.70 % (5259)Time elapsed: 0.026 s 1.60/0.70 % (5259)Instructions burned: 63 (million) 1.60/0.70 % (5259)------------------------------ 1.60/0.70 % (5259)------------------------------ 1.60/0.70 % (5235)Instruction limit reached! 1.60/0.70 % (5235)------------------------------ 1.60/0.70 % (5235)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.70 % (5235)Termination reason: Unknown 1.60/0.70 % (5235)Termination phase: Saturation 1.60/0.70 1.60/0.70 % (5235)Memory used [KB]: 10618 1.60/0.70 % (5235)Time elapsed: 0.085 s 1.60/0.70 % (5235)Instructions burned: 276 (million) 1.60/0.70 % (5235)------------------------------ 1.60/0.70 % (5235)------------------------------ 1.60/0.70 % (5263)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.60/0.71 % (5263)Instruction limit reached! 1.60/0.71 % (5263)------------------------------ 1.60/0.71 % (5263)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.71 % (5263)Termination reason: Unknown 1.60/0.71 % (5263)Termination phase: shuffling 1.60/0.71 1.60/0.71 % (5263)Memory used [KB]: 1663 1.60/0.71 % (5263)Time elapsed: 0.003 s 1.60/0.71 % (5263)Instructions burned: 5 (million) 1.60/0.71 % (5263)------------------------------ 1.60/0.71 % (5263)------------------------------ 1.60/0.71 % (5260)Instruction limit reached! 1.60/0.71 % (5260)------------------------------ 1.60/0.71 % (5260)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.71 % (5260)Termination reason: Unknown 1.60/0.71 % (5260)Termination phase: Property scanning 1.60/0.71 1.60/0.71 % (5260)Memory used [KB]: 2942 1.60/0.71 % (5260)Time elapsed: 0.038 s 1.60/0.71 % (5260)Instructions burned: 108 (million) 1.60/0.71 % (5260)------------------------------ 1.60/0.71 % (5260)------------------------------ 1.60/0.71 % (5264)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=238:si=on:rtra=on_0 on Vampire---4 for (1797ds/238Mi) 1.60/0.71 % (5265)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi) 1.60/0.72 % (5265)Instruction limit reached! 1.60/0.72 % (5265)------------------------------ 1.60/0.72 % (5265)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.72 % (5265)Termination reason: Unknown 1.60/0.72 % (5265)Termination phase: shuffling 1.60/0.72 1.60/0.72 % (5265)Memory used [KB]: 1663 1.60/0.72 % (5265)Time elapsed: 0.002 s 1.60/0.72 % (5265)Instructions burned: 3 (million) 1.60/0.72 % (5265)------------------------------ 1.60/0.72 % (5265)------------------------------ 1.60/0.72 % (5266)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (1797ds/4Mi) 1.60/0.72 % (5266)Instruction limit reached! 1.60/0.72 % (5266)------------------------------ 1.60/0.72 % (5266)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 1.60/0.72 % (5266)Termination reason: Unknown 1.60/0.72 % (5266)Termination phase: shuffling 1.60/0.72 1.60/0.72 % (5266)Memory used [KB]: 1663 1.60/0.72 % (5266)Time elapsed: 0.003 s 1.60/0.72 % (5266)Instructions burned: 5 (million) 1.60/0.72 % (5266)------------------------------ 1.60/0.72 % (5266)------------------------------ 2.21/0.72 % (5267)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on Vampire---4 for (1797ds/149Mi) 2.21/0.73 % (5268)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1797ds/150Mi) 2.21/0.73 % (5258)Instruction limit reached! 2.21/0.73 % (5258)------------------------------ 2.21/0.73 % (5258)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.73 % (5258)Termination reason: Unknown 2.21/0.73 % (5258)Termination phase: Saturation 2.21/0.73 2.21/0.73 % (5258)Memory used [KB]: 7547 2.21/0.73 % (5258)Time elapsed: 0.070 s 2.21/0.73 % (5258)Instructions burned: 191 (million) 2.21/0.73 % (5258)------------------------------ 2.21/0.73 % (5258)------------------------------ 2.21/0.75 % (5269)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=199:si=on:rtra=on_0 on Vampire---4 for (1797ds/199Mi) 2.21/0.76 % (5172)First to succeed. 2.21/0.76 % (5267)Instruction limit reached! 2.21/0.76 % (5267)------------------------------ 2.21/0.76 % (5267)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.76 % (5267)Termination reason: Unknown 2.21/0.76 % (5267)Termination phase: Function definition elimination 2.21/0.76 2.21/0.76 % (5267)Memory used [KB]: 2942 2.21/0.76 % (5267)Time elapsed: 0.042 s 2.21/0.76 % (5267)Instructions burned: 149 (million) 2.21/0.76 % (5267)------------------------------ 2.21/0.76 % (5267)------------------------------ 2.21/0.77 % (5172)Refutation found. Thanks to Tanya! 2.21/0.77 % SZS status Theorem for Vampire---4 2.21/0.77 % SZS output start Proof for Vampire---4 2.21/0.77 thf(func_def_0, type, in: $i > $i > $o). 2.21/0.77 thf(func_def_1, type, exu: ($i > $o) > $o). 2.21/0.77 thf(func_def_6, type, setadjoin: $i > $i > $i). 2.21/0.77 thf(func_def_8, type, powerset: $i > $i). 2.21/0.77 thf(func_def_10, type, setunion: $i > $i). 2.21/0.77 thf(func_def_19, type, descr: ($i > $o) > $i). 2.21/0.77 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_26, type, prop2set: $o > $i). 2.21/0.77 thf(func_def_36, type, nonempty: $i > $o). 2.21/0.77 thf(func_def_69, type, set2prop: $i > $o). 2.21/0.77 thf(func_def_88, type, subset: $i > $i > $o). 2.21/0.77 thf(func_def_89, type, disjoint: $i > $i > $o). 2.21/0.77 thf(func_def_90, type, setsmeet: $i > $i > $o). 2.21/0.77 thf(func_def_114, type, binunion: $i > $i > $i). 2.21/0.77 thf(func_def_122, type, binintersect: $i > $i > $i). 2.21/0.77 thf(func_def_135, type, regular: $i > $o). 2.21/0.77 thf(func_def_136, type, setminus: $i > $i > $i). 2.21/0.77 thf(func_def_147, type, symdiff: $i > $i > $i). 2.21/0.77 thf(func_def_153, type, iskpair: $i > $o). 2.21/0.77 thf(func_def_158, type, kpair: $i > $i > $i). 2.21/0.77 thf(func_def_160, type, cartprod: $i > $i > $i). 2.21/0.77 thf(func_def_177, type, singleton: $i > $o). 2.21/0.77 thf(func_def_179, type, ex1: $i > ($i > $o) > $o). 2.21/0.77 thf(func_def_184, type, atmost1p: $i > $o). 2.21/0.77 thf(func_def_185, type, atleast2p: $i > $o). 2.21/0.77 thf(func_def_186, type, atmost2p: $i > $o). 2.21/0.77 thf(func_def_187, type, upairsetp: $i > $o). 2.21/0.77 thf(func_def_191, type, kfst: $i > $i). 2.21/0.77 thf(func_def_203, type, ksnd: $i > $i). 2.21/0.77 thf(func_def_213, type, breln: $i > $i > $i > $o). 2.21/0.77 thf(func_def_214, type, dpsetconstr: $i > $i > ($i > $i > $o) > $i). 2.21/0.77 thf(func_def_222, type, func: $i > $i > $i > $o). 2.21/0.77 thf(func_def_223, type, funcSet: $i > $i > $i). 2.21/0.77 thf(func_def_226, type, ap: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_232, type, lam: $i > $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_259, type, if: $i > $o > $i > $i > $i). 2.21/0.77 thf(func_def_323, type, breln1: $i > $i > $o). 2.21/0.77 thf(func_def_325, type, breln1Set: $i > $i). 2.21/0.77 thf(func_def_327, type, transitive: $i > $i > $o). 2.21/0.77 thf(func_def_328, type, antisymmetric: $i > $i > $o). 2.21/0.77 thf(func_def_329, type, reflexive: $i > $i > $o). 2.21/0.77 thf(func_def_330, type, refltransitive: $i > $i > $o). 2.21/0.77 thf(func_def_331, type, refllinearorder: $i > $i > $o). 2.21/0.77 thf(func_def_332, type, reflwellordering: $i > $i > $o). 2.21/0.77 thf(func_def_338, type, breln1invset: $i > $i > $i). 2.21/0.77 thf(func_def_342, type, breln1compset: $i > $i > $i > $i). 2.21/0.77 thf(func_def_360, type, image1: $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_364, type, injective: $i > $i > $i > $o). 2.21/0.77 thf(func_def_365, type, injFuncSet: $i > $i > $i). 2.21/0.77 thf(func_def_381, type, sP0: $i > ($i > $i > $o) > $i > $o). 2.21/0.77 thf(func_def_383, type, sP2: $i > $i > $i > $o > $o). 2.21/0.77 thf(func_def_384, type, sP3: $i > $i > $i > $o). 2.21/0.77 thf(func_def_386, type, sP5: $i > ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_389, type, sP8: $i > $i > $i > $o). 2.21/0.77 thf(func_def_390, type, sP9: $i > $i > $o). 2.21/0.77 thf(func_def_391, type, sP10: $i > $i > $i > $o). 2.21/0.77 thf(func_def_392, type, sP11: $i > $i > ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_393, type, sP12: $i > $i > ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_395, type, sP14: $i > $i > $o > $o). 2.21/0.77 thf(func_def_396, type, sP15: $i > $i > $i > $o). 2.21/0.77 thf(func_def_402, type, sP21: $i > $i > $o). 2.21/0.77 thf(func_def_410, type, sP29: $i > $o). 2.21/0.77 thf(func_def_413, type, sP32: $i > ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_419, type, sP38: $i > ($i > $o) > $o). 2.21/0.77 thf(func_def_420, type, sP39: ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_421, type, sP40: $i > $i > $o > $o). 2.21/0.77 thf(func_def_423, type, sP42: $i > $i > $i > $o). 2.21/0.77 thf(func_def_424, type, sP43: $i > $i > $i > $o). 2.21/0.77 thf(func_def_425, type, sP44: $o > $i > $i > $i > $o). 2.21/0.77 thf(func_def_426, type, sP45: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_427, type, sP46: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_428, type, sP47: $i > $i > $i > $o). 2.21/0.77 thf(func_def_429, type, sP48: $i > $i > $i > $o). 2.21/0.77 thf(func_def_430, type, sP49: $i > $i > $o). 2.21/0.77 thf(func_def_431, type, sP50: $i > $i > $i > $o). 2.21/0.77 thf(func_def_432, type, sP51: $i > $i > $o). 2.21/0.77 thf(func_def_433, type, sP52: $i > $i > $o). 2.21/0.77 thf(func_def_434, type, sP53: $i > $o). 2.21/0.77 thf(func_def_435, type, sP54: $i > $i > $o). 2.21/0.77 thf(func_def_437, type, sP56: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_439, type, sP58: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_440, type, sP59: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_441, type, sP60: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_442, type, sP61: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_445, type, sP64: $i > $i > $o > $o). 2.21/0.77 thf(func_def_446, type, sP65: $i > $i > $i > $o). 2.21/0.77 thf(func_def_448, type, sP67: ($i > $i > $o) > $i > $o). 2.21/0.77 thf(func_def_452, type, sP71: $i > $i > $o). 2.21/0.77 thf(func_def_455, type, sP74: $i > $i > $i > $o). 2.21/0.77 thf(func_def_461, type, sP80: ($i > $o) > ($i > $o) > $i > $i > $o). 2.21/0.77 thf(func_def_463, type, sP82: $i > $i > $i > $o > $i > $i > $o). 2.21/0.77 thf(func_def_464, type, sP83: ($i > $o) > $i > $o). 2.21/0.77 thf(func_def_465, type, sP84: $i > ($i > $o) > $o). 2.21/0.77 thf(func_def_469, type, sK88: $i > $i > $o). 2.21/0.77 thf(func_def_472, type, sK91: $i > $i). 2.21/0.77 thf(func_def_473, type, sK92: $i > $i > ($i > $i > $o) > $i). 2.21/0.77 thf(func_def_474, type, sK93: $i > ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_475, type, sK94: $i > ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_480, type, sK99: $i > $i > $i > $o). 2.21/0.77 thf(func_def_484, type, sK103: $i > $o). 2.21/0.77 thf(func_def_485, type, sK104: $i > $o). 2.21/0.77 thf(func_def_486, type, sK105: ($i > $o) > ($i > $o) > $i). 2.21/0.77 thf(func_def_487, type, sK106: ($i > $o) > ($i > $o) > $i). 2.21/0.77 thf(func_def_489, type, sK108: $i > $i). 2.21/0.77 thf(func_def_500, type, sK119: $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_501, type, sK120: $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_504, type, sK123: $i > $o). 2.21/0.77 thf(func_def_529, type, sK148: $i > $i). 2.21/0.77 thf(func_def_533, type, sK152: $i > $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_537, type, sK156: $i > $o). 2.21/0.77 thf(func_def_540, type, sK159: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_551, type, sK170: $i > $i). 2.21/0.77 thf(func_def_553, type, sK172: $i > $i > $i > $i). 2.21/0.77 thf(func_def_554, type, sK173: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_564, type, sK183: $i > $i > $i). 2.21/0.77 thf(func_def_565, type, sK184: $i > $i > $i > $i). 2.21/0.77 thf(func_def_568, type, sK187: $i > $i > $i > $i). 2.21/0.77 thf(func_def_569, type, sK188: $i > $i > $i > $i). 2.21/0.77 thf(func_def_581, type, sK200: $i > $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_582, type, sK201: $i > $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_586, type, sK205: $i > $o). 2.21/0.77 thf(func_def_601, type, sK220: $i > $o). 2.21/0.77 thf(func_def_607, type, sK226: $i > $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_608, type, sK227: $i > $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_612, type, sK231: $i > $o). 2.21/0.77 thf(func_def_617, type, sK236: $i > $o). 2.21/0.77 thf(func_def_618, type, sK237: $i > $i > $o). 2.21/0.77 thf(func_def_622, type, sK241: $i > $i). 2.21/0.77 thf(func_def_623, type, sK242: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_631, type, sK250: $i > $i > $i > $o). 2.21/0.77 thf(func_def_637, type, sK256: $i > $i). 2.21/0.77 thf(func_def_639, type, sK258: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_642, type, sK261: $i > $i > $i). 2.21/0.77 thf(func_def_660, type, sK279: $i > $i > $o). 2.21/0.77 thf(func_def_666, type, sK285: $i > $i). 2.21/0.77 thf(func_def_667, type, sK286: $i > $o). 2.21/0.77 thf(func_def_670, type, sK289: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_688, type, sK307: $i > $o). 2.21/0.77 thf(func_def_690, type, sK309: ($i > $o) > $i). 2.21/0.77 thf(func_def_691, type, sK310: ($i > $o) > $i). 2.21/0.77 thf(func_def_705, type, sK324: $i > $i > $i > $i). 2.21/0.77 thf(func_def_706, type, sK325: $i > $i > $i > $i). 2.21/0.77 thf(func_def_710, type, sK329: $i > $i > $i). 2.21/0.77 thf(func_def_711, type, sK330: $i > $i > $i > $i). 2.21/0.77 thf(func_def_725, type, sK344: $i > $i). 2.21/0.77 thf(func_def_727, type, sK346: $i > $i). 2.21/0.77 thf(func_def_740, type, sK359: $i > $o). 2.21/0.77 thf(func_def_755, type, sK374: $i > $i > $o). 2.21/0.77 thf(func_def_766, type, sK385: $i > $o). 2.21/0.77 thf(func_def_769, type, sK388: $i > $o). 2.21/0.77 thf(func_def_771, type, sK390: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_774, type, sK393: $i > $o). 2.21/0.77 thf(func_def_776, type, sK395: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_792, type, sK411: $i > $i > $i). 2.21/0.77 thf(func_def_813, type, sK432: $i > $o). 2.21/0.77 thf(func_def_815, type, sK434: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_816, type, sK435: $i > $o). 2.21/0.77 thf(func_def_817, type, sK436: $i > $i). 2.21/0.77 thf(func_def_818, type, sK437: ($i > $o) > $i). 2.21/0.77 thf(func_def_829, type, sK448: $i > $o). 2.21/0.77 thf(func_def_832, type, sK451: $i > $o). 2.21/0.77 thf(func_def_839, type, sK458: $i > $i). 2.21/0.77 thf(func_def_840, type, sK459: $i > $i). 2.21/0.77 thf(func_def_851, type, sK470: $i > $i). 2.21/0.77 thf(func_def_854, type, sK473: $i > $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_873, type, sK492: $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_874, type, sK493: $i > ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_877, type, sK496: $i > $o). 2.21/0.77 thf(func_def_883, type, sK502: $i > $o). 2.21/0.77 thf(func_def_885, type, sK504: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_927, type, sK546: $i > $i > $i). 2.21/0.77 thf(func_def_943, type, sK562: $i > $o). 2.21/0.77 thf(func_def_946, type, sK565: $i > $i). 2.21/0.77 thf(func_def_948, type, sK567: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_951, type, sK570: $i > $o). 2.21/0.77 thf(func_def_953, type, sK572: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_957, type, sK576: $o > $i > $i > $i). 2.21/0.77 thf(func_def_958, type, sK577: $i > $o). 2.21/0.77 thf(func_def_959, type, sK578: ($i > $o) > $i). 2.21/0.77 thf(func_def_973, type, sK592: $i > $i > $o). 2.21/0.77 thf(func_def_979, type, sK598: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_980, type, sK599: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_981, type, sK600: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_983, type, sK602: $i > $o). 2.21/0.77 thf(func_def_990, type, sK609: $i > $o). 2.21/0.77 thf(func_def_1046, type, sK665: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1047, type, sK666: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1048, type, sK667: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1049, type, sK668: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1053, type, sK672: $i > $i > $i > $i > $o). 2.21/0.77 thf(func_def_1063, type, sK682: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1064, type, sK683: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1065, type, sK684: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1066, type, sK685: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1076, type, sK695: $i > $i > $i). 2.21/0.77 thf(func_def_1077, type, sK696: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1078, type, sK697: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1092, type, sK711: $i > $i). 2.21/0.77 thf(func_def_1093, type, sK712: $i > $i). 2.21/0.77 thf(func_def_1094, type, sK713: $i > $i). 2.21/0.77 thf(func_def_1095, type, sK714: $i > $i > $i). 2.21/0.77 thf(func_def_1096, type, sK715: $i > $i > $i). 2.21/0.77 thf(func_def_1097, type, sK716: $i > $i > $i). 2.21/0.77 thf(func_def_1098, type, sK717: $i > $i). 2.21/0.77 thf(func_def_1099, type, sK718: $i > $i). 2.21/0.77 thf(func_def_1100, type, sK719: $i > $i). 2.21/0.77 thf(func_def_1101, type, sK720: $i > $i). 2.21/0.77 thf(func_def_1102, type, sK721: $i > $i > $i). 2.21/0.77 thf(func_def_1103, type, sK722: $i > $i > $i). 2.21/0.77 thf(func_def_1104, type, sK723: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1105, type, sK724: $i > $i > $i). 2.21/0.77 thf(func_def_1106, type, sK725: $i > $i > $i). 2.21/0.77 thf(func_def_1107, type, sK726: $i > $i > $i). 2.21/0.77 thf(func_def_1108, type, sK727: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1109, type, sK728: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1131, type, sK750: $i > $i). 2.21/0.77 thf(func_def_1134, type, sK753: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1142, type, sK761: $i > $o). 2.21/0.77 thf(func_def_1143, type, sK762: $i > $i). 2.21/0.77 thf(func_def_1144, type, sK763: ($i > $o) > $i). 2.21/0.77 thf(func_def_1145, type, sK764: $i > $i). 2.21/0.77 thf(func_def_1155, type, sK774: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1156, type, sK775: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1157, type, sK776: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1158, type, sK777: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1177, type, sK796: $i > $i > $o). 2.21/0.77 thf(func_def_1185, type, sK804: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1186, type, sK805: $i > $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1213, type, sK832: $i > $i > $o). 2.21/0.77 thf(func_def_1216, type, sK835: $i > $i). 2.21/0.77 thf(func_def_1230, type, sK849: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1231, type, sK850: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1244, type, sK863: $i > $i). 2.21/0.77 thf(func_def_1246, type, sK865: $i > $i). 2.21/0.77 thf(func_def_1247, type, sK866: $i > $i). 2.21/0.77 thf(func_def_1248, type, sK867: $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_1249, type, sK868: $i > $i > ($i > $i) > $i). 2.21/0.77 thf(func_def_1257, type, sK876: $i > $o). 2.21/0.77 thf(func_def_1262, type, sK881: $i > $i > $o). 2.21/0.77 thf(func_def_1267, type, sK886: $i > $i > $i). 2.21/0.77 thf(func_def_1270, type, sK889: $i > $o). 2.21/0.77 thf(func_def_1275, type, sK894: $i > $i > $i > $o). 2.21/0.77 thf(func_def_1276, type, sK895: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1293, type, sK912: $i > $o). 2.21/0.77 thf(func_def_1304, type, sK923: $i > $i). 2.21/0.77 thf(func_def_1306, type, sK925: $i > ($i > $i) > $i > $i). 2.21/0.77 thf(func_def_1309, type, sK928: $i > $i > $o). 2.21/0.77 thf(func_def_1331, type, sK950: $i > $i > $o). 2.21/0.77 thf(func_def_1333, type, sK952: $i > ($i > $i > $o) > $i). 2.21/0.77 thf(func_def_1334, type, sK953: $i > ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_1335, type, sK954: $i > ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_1336, type, sK955: ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_1337, type, sK956: $i > ($i > $i > $o) > $i > $i). 2.21/0.77 thf(func_def_1346, type, sK965: $i > $o). 2.21/0.77 thf(func_def_1351, type, sK970: $i > $i > $i). 2.21/0.77 thf(func_def_1352, type, sK971: $i > $i > $i). 2.21/0.77 thf(func_def_1361, type, sK980: $i > $i > $i). 2.21/0.77 thf(func_def_1364, type, sK983: $i > $i > $i). 2.21/0.77 thf(func_def_1365, type, sK984: $i > $i > $i). 2.21/0.77 thf(func_def_1370, type, sK989: $i > $o). 2.21/0.77 thf(func_def_1371, type, sK990: $i > $o). 2.21/0.77 thf(func_def_1372, type, sK991: ($i > $o) > ($i > $o) > $i). 2.21/0.77 thf(func_def_1373, type, sK992: ($i > $o) > ($i > $o) > $i). 2.21/0.77 thf(func_def_1387, type, sK1006: $i > $i > $i > $i). 2.21/0.77 thf(func_def_1388, type, sK1007: $i > $i > $i > $i > $i). 2.21/0.77 thf(func_def_1395, type, sK1014: $i > $o). 2.21/0.77 thf(func_def_1398, type, sK1017: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1407, type, sK1026: $i > $o). 2.21/0.77 thf(func_def_1408, type, sK1027: ($i > $o) > $i > $i > $i). 2.21/0.77 thf(func_def_1413, type, sK1032: $i > $i). 2.21/0.77 thf(func_def_1414, type, sK1033: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_1429, type, sK1048: $i > $o). 2.21/0.77 thf(func_def_1432, type, sK1051: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1443, type, sK1062: $i > $i > $i). 2.21/0.77 thf(func_def_1452, type, sK1071: ($i > $o) > ($i > $o) > $i > $i > $i). 2.21/0.77 thf(func_def_1453, type, sK1072: ($i > $o) > ($i > $o) > $i > $i > $i). 2.21/0.77 thf(func_def_1456, type, sK1075: $i > $o). 2.21/0.77 thf(func_def_1457, type, sK1076: $i > $o). 2.21/0.77 thf(func_def_1465, type, sK1084: $i > $i). 2.21/0.77 thf(func_def_1466, type, sK1085: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_1476, type, sK1095: $i > $i > $i > $o > $i > $i > $i). 2.21/0.77 thf(func_def_1493, type, sK1112: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1494, type, sK1113: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1495, type, sK1114: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1496, type, sK1115: $i > $o). 2.21/0.77 thf(func_def_1503, type, sK1122: $i > $o). 2.21/0.77 thf(func_def_1516, type, sK1135: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1517, type, sK1136: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1518, type, sK1137: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1519, type, sK1138: ($i > $o) > $i). 2.21/0.77 thf(func_def_1520, type, sK1139: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1521, type, sK1140: ($i > $o) > $i). 2.21/0.77 thf(func_def_1522, type, sK1141: ($i > $o) > $i). 2.21/0.77 thf(func_def_1523, type, sK1142: ($i > $o) > $i). 2.21/0.77 thf(func_def_1524, type, sK1143: ($i > $o) > $i). 2.21/0.77 thf(func_def_1525, type, sK1144: ($i > $i) > $i > $i). 2.21/0.77 thf(func_def_1526, type, sK1145: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_1527, type, sK1146: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_1528, type, sK1147: ($i > $i) > $i > $i > $i). 2.21/0.77 thf(func_def_1529, type, sK1148: $i > $i). 2.21/0.77 thf(func_def_1530, type, sK1149: $i > $i). 2.21/0.77 thf(func_def_1534, type, sK1153: ($i > $o) > $i). 2.21/0.77 thf(func_def_1535, type, sK1154: $i > $i). 2.21/0.77 thf(func_def_1536, type, sK1155: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1537, type, sK1156: ($i > $i > $o) > $i > $i > $i). 2.21/0.77 thf(func_def_1538, type, sK1157: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1539, type, sK1158: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1540, type, sK1159: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1541, type, sK1160: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1542, type, sK1161: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1543, type, sK1162: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1544, type, sK1163: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1546, type, sK1165: $i > $i). 2.21/0.77 thf(func_def_1547, type, sK1166: ($i > $o) > $i). 2.21/0.77 thf(func_def_1548, type, sK1167: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1549, type, sK1168: ($i > $o) > $i). 2.21/0.77 thf(func_def_1550, type, sK1169: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1551, type, sK1170: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1552, type, sK1171: ($i > $o) > $i). 2.21/0.77 thf(func_def_1553, type, sK1172: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1554, type, sK1173: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1555, type, sK1174: ($i > $o) > $i). 2.21/0.77 thf(func_def_1556, type, sK1175: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1557, type, sK1176: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1558, type, sK1177: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1560, type, sK1179: $i > $i). 2.21/0.77 thf(func_def_1562, type, sK1181: $i > ($i > $o) > $i). 2.21/0.77 thf(func_def_1563, type, sK1182: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1564, type, sK1183: $i > $i). 2.21/0.77 thf(func_def_1565, type, sK1184: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1566, type, sK1185: ($i > $o) > $i). 2.21/0.77 thf(func_def_1567, type, sK1186: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1568, type, sK1187: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1569, type, sK1188: ($i > $o) > $i). 2.21/0.77 thf(func_def_1570, type, sK1189: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1571, type, sK1190: ($i > $o) > $i > $i). 2.21/0.77 thf(func_def_1572, type, sK1191: ($i > $o) > $i). 2.21/0.77 thf(func_def_1574, type, ph1193: !>[X0: $tType]:(X0)). 2.21/0.77 thf(f9724,plain,( 2.21/0.77 $false), 2.21/0.77 inference(subsumption_resolution,[],[f9723,f4213])). 2.21/0.77 thf(f4213,plain,( 2.21/0.77 ((in @ sK604 @ (funcSet @ sK605 @ sK603)) != $true)), 2.21/0.77 inference(cnf_transformation,[],[f2401])). 2.21/0.77 thf(f2401,plain,( 2.21/0.77 (setukpairinjL1 = $true) & (kpairp = $true) & (omega0Ax = $true) & (brelnall1 = $true) & (notdexE = $true) & (upairset2IR = $true) & (iftrue = $true) & (upairinpowunion = $true) & (kfstsingleton = $true) & (sepInPowerset = $true) & (dsetconstrI = $true) & (binunionRsub = $true) & (emptyE1 = $true) & (demorgan1 = $true) & (doubleComplementEq = $true) & (woz1_3 = $true) & (setminusIRneg = $true) & (dpsetconstrERa = $true) & (powersetT_lem = $true) & (breln1unionIL = $true) & (powersetI1 = $true) & (binunionT_lem = $true) & (omegaSAx = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (singletoninpowerset = $true) & (inComplementUnionImpNotIn1 = $true) & (demorgan2a2 = $true) & (replAx = $true) & (woz13rule1 = $true) & (binintersectSubset3 = $true) & (upairsetIR = $true) & (woz13rule2 = $true) & (subsetTrans = $true) & (setukpairinjL = $true) & (setukpairIR = $true) & (demorgan2a = $true) & (setadjoinOr = $true) & (emptysetsubset = $true) & (setminusLsub = $true) & (breln1unionprop = $true) & (image1Ex1 = $true) & (complementT_lem = $true) & (ifp = $true) & (exu__Cong = $true) & (breln1invI = $true) & (subsetI1 = $true) & (binintersectTERcontra = $true) & (setextAx = $true) & (funcextLem = $true) & (lam2lamEq = $true) & (symdiffIneg1 = $true) & (iffalseProp2 = $true) & (breln1unionI = $true) & (theprop = $true) & (brelnall2 = $true) & (upairsetE = $true) & (doubleComplementSub2 = $true) & (iffalseProp1 = $true) & (breln1unionEcases = $true) & (binunionTILcontra = $true) & (cartprodmempaircEq = $true) & (vacuousDall = $true) & (cartprodsndin = $true) & (cartprodpairmemER = $true) & (woz2W = $true) & (setukpairinjR = $true) & (binunionEcases = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (setminusELneg = $true) & (contraSubsetComplement = $true) & (setukpairinjR11 = $true) & (setadjoinE = $true) & (setminusER = $true) & (setextsub = $true) & (complementTnotintersectT = $true) & (exuEu = $true) & (breln1compE = $true) & (inIntersectImpInUnion = $true) & (secondinupair = $true) & (setminusILneg = $true) & (omega__Cong = $true) & (singletoninpowunion = $true) & (woz1_4 = $true) & (emptyinunitempty = $true) & (complementTcontraSubset = $true) & (subsetE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (binunionTEcontra = $true) & (subbreln1 = $true) & (noeltsimpempty = $true) & (cartprodfstin = $true) & (sepSubset = $true) & (kfstpairEq = $true) & (setminusEL = $true) & (woz13rule4 = $true) & (ex1I = $true) & (binintersectT_lem = $true) & (in__Cong = $true) & (binintersectI = $true) & (quantDeMorgan3 = $true) & (emptyI = $true) & (woz1_5 = $true) & (breln1unionCommutes = $true) & (complementSubsetComplementIntersect = $true) & (setminusERneg = $true) & (singletonsubset = $true) & (singletonprop = $true) & (funcext = $true) & (demorgan2 = $true) & (breln1compprop = $true) & (wellorderingAx = $true) & (choice2fnsingleton = $true) & (complementTI1 = $true) & (binunionLsub = $true) & (complementUnionInPowersetComplement = $true) & (quantDeMorgan2 = $true) & (setukpairinjR12 = $true) & (quantDeMorgan4 = $true) & (infuncsetfunc = $true) & (funcGraphProp4 = $true) & (prop2setI = $true) & (subsetRefl = $true) & (funcext2 = $true) & (setunionI = $true) & (setadjoinIL = $true) & (woz2B = $true) & (cartprodpairin = $true) & (notdallE = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (powersetTE1 = $true) & (uniqinunit = $true) & (ap2apEq2 = $true) & (iftrueProp1 = $true) & (setunionsingleton = $true) & (setOfPairsIsBReln1 = $true) & (inCongP = $true) & (injFuncInInjFuncSet = $true) & (contrasubsetT = $true) & (eqinunit = $true) & (setext = $true) & (demorgan2b = $true) & (eqbreln = $true) & (breln1SetBreln1 = $true) & (woz1_1 = $true) & (demorgan2b2 = $true) & (emptyInPowerset = $true) & (doubleComplementSub1 = $true) & (exuI2 = $true) & (inIntersectImpInUnion2 = $true) & (exuE1 = $true) & (iftrueProp2 = $true) & (demorgan1b = $true) & (setminusI = $true) & (nonemptyImpWitness = $true) & (setunionsingleton1 = $true) & (dsetconstrER = $true) & (((in @ sK604 @ (funcSet @ sK605 @ sK603)) != $true) & ((in @ sK604 @ (injFuncSet @ sK605 @ sK603)) = $true)) & (breln1unionE = $true) & (breln1compEex = $true) & (ap2p = $true) & (exuE3e = $true) & (breln1unionIR = $true) & (setukpairinjR2 = $true) & (iftrueorfalse = $true) & (upairsetIL = $true) & (ubforcartprodlem3 = $true) & (inIntersectImpInIntersectUnions = $true) & (foundationAx = $true) & (setOfPairsIsBReln = $true) & (binunionE = $true) & (binunionTIRcontra = $true) & (cartprodpairmemEL = $true) & (emptyset__Cong = $true) & (upairsubunion = $true) & (eta1 = $true) & (iffalse = $true) & (eqimpsubset1 = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true) & (notsubsetI = $true) & (contrasubsetT1 = $true) & (ex1E2 = $true) & (lamp = $true) & (binintersectLsub = $true) & (doubleComplementE1 = $true) & (disjointsetsI1 = $true) & (woz13rule0 = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (ubforcartprodlem2 = $true) & (breln1invprop = $true) & (woz2A = $true) & (nonemptyI = $true) & (subbreln = $true) & (setminusSubset2 = $true) & (kpairiskpair = $true) & (binunionIR = $true) & (setminusSubset1 = $true) & (funcinfuncset = $true) & (emptyinPowerset = $true) & (breln1compI = $true) & (setukpairinjL2 = $true) & (ksndsingleton = $true) & (kpairsurjEq = $true) & (demorgan2a1 = $true) & (setukpairinjR1 = $true) & (exuE2 = $true) & (descr__Cong = $true) & (complementInPowersetComplementIntersect = $true) & (setunion__Cong = $true) & (beta2 = $true) & (binintersectSubset5 = $true) & (upairset2E = $true) & (nonemptyE1 = $true) & (cartprodmempair1 = $true) & (breln1all2 = $true) & (binintersectTELcontra = $true) & (theeq = $true) & (symdiffI2 = $true) & (dpsetconstrSub = $true) & (subsetTI = $true) & (apProp = $true) & (lamProp = $true) & (exuI1 = $true) & (emptysetAx = $true) & (symdiffIneg2 = $true) & (woz13rule3 = $true) & (binintersectRsub = $true) & (powersetsubset = $true) & (setextT = $true) & (cartprodfstpairEq = $true) & (binintersectEL = $true) & (notequalI2 = $true) & (cartprodpairsurjEq = $true) & (image1Ex = $true) & (setoftrueEq = $true) & (symdiffE = $true) & (binunionIL = $true) & (setadjoinSub2 = $true) & (doubleComplementI1 = $true) & (funcGraphProp2 = $true) & (upairequniteq = $true) & (image1E = $true) & (ubforcartprodlem1 = $true) & (image1I = $true) & (dsetconstr__Cong = $true) & (setbeta = $true) & (subsetI2 = $true) & (descrp = $true) & (binintersectSubset2 = $true) & (inPowerset = $true) & (beta1 = $true) & (setunionAx = $true) & (ap2apEq1 = $true) & (ksndpairEq = $true) & (powersetTI1 = $true) & (subsetemptysetimpeq = $true) & (powersetE1 = $true) & (demorgan1a = $true) & (ifSingleton = $true) & (binunionTE = $true) & (powersetE = $true) & (dpsetconstrER = $true) & (nonemptyI1 = $true) & (dpsetconstrEL2 = $true) & (setadjoin__Cong = $true) & (woz2Ex = $true) & (breln1invE = $true) & (lam2p = $true) & (eqimpsubset2 = $true) & (ex1I2 = $true) & (ex1E1 = $true) & (setadjoinIR = $true) & (breln1all1 = $true) & (exuI3 = $true) & (symdiffI1 = $true) & (notinsingleton = $true) & (setunionsingleton2 = $true) & (subset2powerset = $true) & (woz1_2 = $true) & (setadjoinAx = $true) & (eqbreln1 = $true) & (image1Equiv = $true) & (contrasubsetT3 = $true) & (binintersectER = $true) & (subsetE = $true) & (funcImageSingleton = $true) & (bs114d = $true) & (complementImpComplementIntersect = $true) & (contrasubsetT2 = $true) & (powersetAx = $true) & (subPowSU = $true) & (cartprodsndpairEq = $true) & (app = $true) & (singletonsuniq = $true) & (setunionE2 = $true) & (funcGraphProp1 = $true) & (omegaIndAx = $true) & (eta2 = $true) & (dpsetconstrEL1 = $true) & (cartprodmempair = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionE = $true) & (setminusT_lem = $true) & (singletonsswitch = $true) & (powersetI = $true) & (binintersectSubset4 = $true) & (notequalI1 = $true) & (emptysetE = $true) & (dpsetconstrI = $true) & (complementTE1 = $true) & (powerset__Cong = $true) & (prop2setE = $true)), 2.21/0.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK603,sK604,sK605])],[f1105,f2400])). 2.21/0.77 thf(f2400,plain,( 2.21/0.77 ? [X0,X1,X2] : (((in @ X1 @ (funcSet @ X2 @ X0)) != $true) & ((in @ X1 @ (injFuncSet @ X2 @ X0)) = $true)) => (((in @ sK604 @ (funcSet @ sK605 @ sK603)) != $true) & ((in @ sK604 @ (injFuncSet @ sK605 @ sK603)) = $true))), 2.21/0.77 introduced(choice_axiom,[])). 2.21/0.77 thf(f1105,plain,( 2.21/0.77 (setukpairinjL1 = $true) & (kpairp = $true) & (omega0Ax = $true) & (brelnall1 = $true) & (notdexE = $true) & (upairset2IR = $true) & (iftrue = $true) & (upairinpowunion = $true) & (kfstsingleton = $true) & (sepInPowerset = $true) & (dsetconstrI = $true) & (binunionRsub = $true) & (emptyE1 = $true) & (demorgan1 = $true) & (doubleComplementEq = $true) & (woz1_3 = $true) & (setminusIRneg = $true) & (dpsetconstrERa = $true) & (powersetT_lem = $true) & (breln1unionIL = $true) & (powersetI1 = $true) & (binunionT_lem = $true) & (omegaSAx = $true) & (quantDeMorgan1 = $true) & (exuE3u = $true) & (singletoninpowerset = $true) & (inComplementUnionImpNotIn1 = $true) & (demorgan2a2 = $true) & (replAx = $true) & (woz13rule1 = $true) & (binintersectSubset3 = $true) & (upairsetIR = $true) & (woz13rule2 = $true) & (subsetTrans = $true) & (setukpairinjL = $true) & (setukpairIR = $true) & (demorgan2a = $true) & (setadjoinOr = $true) & (emptysetsubset = $true) & (setminusLsub = $true) & (breln1unionprop = $true) & (image1Ex1 = $true) & (complementT_lem = $true) & (ifp = $true) & (exu__Cong = $true) & (breln1invI = $true) & (subsetI1 = $true) & (binintersectTERcontra = $true) & (setextAx = $true) & (funcextLem = $true) & (lam2lamEq = $true) & (symdiffIneg1 = $true) & (iffalseProp2 = $true) & (breln1unionI = $true) & (theprop = $true) & (brelnall2 = $true) & (upairsetE = $true) & (doubleComplementSub2 = $true) & (iffalseProp1 = $true) & (breln1unionEcases = $true) & (binunionTILcontra = $true) & (cartprodmempaircEq = $true) & (vacuousDall = $true) & (cartprodsndin = $true) & (cartprodpairmemER = $true) & (woz2W = $true) & (setukpairinjR = $true) & (binunionEcases = $true) & (dsetconstrEL = $true) & (setadjoinSub = $true) & (setminusELneg = $true) & (contraSubsetComplement = $true) & (setukpairinjR11 = $true) & (setadjoinE = $true) & (setminusER = $true) & (setextsub = $true) & (complementTnotintersectT = $true) & (exuEu = $true) & (breln1compE = $true) & (inIntersectImpInUnion = $true) & (secondinupair = $true) & (setminusILneg = $true) & (omega__Cong = $true) & (singletoninpowunion = $true) & (woz1_4 = $true) & (emptyinunitempty = $true) & (complementTcontraSubset = $true) & (subsetE2 = $true) & (inComplementUnionImpInComplement1 = $true) & (binunionTEcontra = $true) & (subbreln1 = $true) & (noeltsimpempty = $true) & (cartprodfstin = $true) & (sepSubset = $true) & (kfstpairEq = $true) & (setminusEL = $true) & (woz13rule4 = $true) & (ex1I = $true) & (binintersectT_lem = $true) & (in__Cong = $true) & (binintersectI = $true) & (quantDeMorgan3 = $true) & (emptyI = $true) & (woz1_5 = $true) & (breln1unionCommutes = $true) & (complementSubsetComplementIntersect = $true) & (setminusERneg = $true) & (singletonsubset = $true) & (singletonprop = $true) & (funcext = $true) & (demorgan2 = $true) & (breln1compprop = $true) & (wellorderingAx = $true) & (choice2fnsingleton = $true) & (complementTI1 = $true) & (binunionLsub = $true) & (complementUnionInPowersetComplement = $true) & (quantDeMorgan2 = $true) & (setukpairinjR12 = $true) & (quantDeMorgan4 = $true) & (infuncsetfunc = $true) & (funcGraphProp4 = $true) & (prop2setI = $true) & (subsetRefl = $true) & (funcext2 = $true) & (setunionI = $true) & (setadjoinIL = $true) & (woz2B = $true) & (cartprodpairin = $true) & (notdallE = $true) & (funcGraphProp3 = $true) & (notinemptyset = $true) & (powersetTE1 = $true) & (uniqinunit = $true) & (ap2apEq2 = $true) & (iftrueProp1 = $true) & (setunionsingleton = $true) & (setOfPairsIsBReln1 = $true) & (inCongP = $true) & (injFuncInInjFuncSet = $true) & (contrasubsetT = $true) & (eqinunit = $true) & (setext = $true) & (demorgan2b = $true) & (eqbreln = $true) & (breln1SetBreln1 = $true) & (woz1_1 = $true) & (demorgan2b2 = $true) & (emptyInPowerset = $true) & (doubleComplementSub1 = $true) & (exuI2 = $true) & (inIntersectImpInUnion2 = $true) & (exuE1 = $true) & (iftrueProp2 = $true) & (demorgan1b = $true) & (setminusI = $true) & (nonemptyImpWitness = $true) & (setunionsingleton1 = $true) & (dsetconstrER = $true) & ? [X0,X1,X2] : (((in @ X1 @ (funcSet @ X2 @ X0)) != $true) & ((in @ X1 @ (injFuncSet @ X2 @ X0)) = $true)) & (breln1unionE = $true) & (breln1compEex = $true) & (ap2p = $true) & (exuE3e = $true) & (breln1unionIR = $true) & (setukpairinjR2 = $true) & (iftrueorfalse = $true) & (upairsetIL = $true) & (ubforcartprodlem3 = $true) & (inIntersectImpInIntersectUnions = $true) & (foundationAx = $true) & (setOfPairsIsBReln = $true) & (binunionE = $true) & (binunionTIRcontra = $true) & (cartprodpairmemEL = $true) & (emptyset__Cong = $true) & (upairsubunion = $true) & (eta1 = $true) & (iffalse = $true) & (eqimpsubset1 = $true) & (emptysetimpfalse = $true) & (prop2set2propI = $true) & (notsubsetI = $true) & (contrasubsetT1 = $true) & (ex1E2 = $true) & (lamp = $true) & (binintersectLsub = $true) & (doubleComplementE1 = $true) & (disjointsetsI1 = $true) & (woz13rule0 = $true) & (binintersectSubset1 = $true) & (setukpairIL = $true) & (ubforcartprodlem2 = $true) & (breln1invprop = $true) & (woz2A = $true) & (nonemptyI = $true) & (subbreln = $true) & (setminusSubset2 = $true) & (kpairiskpair = $true) & (binunionIR = $true) & (setminusSubset1 = $true) & (funcinfuncset = $true) & (emptyinPowerset = $true) & (breln1compI = $true) & (setukpairinjL2 = $true) & (ksndsingleton = $true) & (kpairsurjEq = $true) & (demorgan2a1 = $true) & (setukpairinjR1 = $true) & (exuE2 = $true) & (descr__Cong = $true) & (complementInPowersetComplementIntersect = $true) & (setunion__Cong = $true) & (beta2 = $true) & (binintersectSubset5 = $true) & (upairset2E = $true) & (nonemptyE1 = $true) & (cartprodmempair1 = $true) & (breln1all2 = $true) & (binintersectTELcontra = $true) & (theeq = $true) & (symdiffI2 = $true) & (dpsetconstrSub = $true) & (subsetTI = $true) & (apProp = $true) & (lamProp = $true) & (exuI1 = $true) & (emptysetAx = $true) & (symdiffIneg2 = $true) & (woz13rule3 = $true) & (binintersectRsub = $true) & (powersetsubset = $true) & (setextT = $true) & (cartprodfstpairEq = $true) & (binintersectEL = $true) & (notequalI2 = $true) & (cartprodpairsurjEq = $true) & (image1Ex = $true) & (setoftrueEq = $true) & (symdiffE = $true) & (binunionIL = $true) & (setadjoinSub2 = $true) & (doubleComplementI1 = $true) & (funcGraphProp2 = $true) & (upairequniteq = $true) & (image1E = $true) & (ubforcartprodlem1 = $true) & (image1I = $true) & (dsetconstr__Cong = $true) & (setbeta = $true) & (subsetI2 = $true) & (descrp = $true) & (binintersectSubset2 = $true) & (inPowerset = $true) & (beta1 = $true) & (setunionAx = $true) & (ap2apEq1 = $true) & (ksndpairEq = $true) & (powersetTI1 = $true) & (subsetemptysetimpeq = $true) & (powersetE1 = $true) & (demorgan1a = $true) & (ifSingleton = $true) & (binunionTE = $true) & (powersetE = $true) & (dpsetconstrER = $true) & (nonemptyI1 = $true) & (dpsetconstrEL2 = $true) & (setadjoin__Cong = $true) & (woz2Ex = $true) & (breln1invE = $true) & (lam2p = $true) & (eqimpsubset2 = $true) & (ex1I2 = $true) & (ex1E1 = $true) & (setadjoinIR = $true) & (breln1all1 = $true) & (exuI3 = $true) & (symdiffI1 = $true) & (notinsingleton = $true) & (setunionsingleton2 = $true) & (subset2powerset = $true) & (woz1_2 = $true) & (setadjoinAx = $true) & (eqbreln1 = $true) & (image1Equiv = $true) & (contrasubsetT3 = $true) & (binintersectER = $true) & (subsetE = $true) & (funcImageSingleton = $true) & (bs114d = $true) & (complementImpComplementIntersect = $true) & (contrasubsetT2 = $true) & (powersetAx = $true) & (subPowSU = $true) & (cartprodsndpairEq = $true) & (app = $true) & (singletonsuniq = $true) & (setunionE2 = $true) & (funcGraphProp1 = $true) & (omegaIndAx = $true) & (eta2 = $true) & (dpsetconstrEL1 = $true) & (cartprodmempair = $true) & (intersectInPowersetIntersectUnions = $true) & (setunionE = $true) & (setminusT_lem = $true) & (singletonsswitch = $true) & (powersetI = $true) & (binintersectSubset4 = $true) & (notequalI1 = $true) & (emptysetE = $true) & (dpsetconstrI = $true) & (complementTE1 = $true) & (powerset__Cong = $true) & (prop2setE = $true)), 2.21/0.77 inference(flattening,[],[f1104])). 2.21/0.77 thf(f1104,plain,( 2.21/0.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((? [X0,X1,X2] : (((in @ X1 @ (funcSet @ X2 @ X0)) != $true) & ((in @ X1 @ (injFuncSet @ X2 @ X0)) = $true)) & (injFuncInInjFuncSet = $true)) & (image1I = $true)) & (image1E = $true)) & (image1Equiv = $true)) & (image1Ex1 = $true)) & (image1Ex = $true)) & (woz2B = $true)) & (woz2A = $true)) & (woz2W = $true)) & (woz2Ex = $true)) & (breln1unionCommutes = $true)) & (breln1unionEcases = $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)), 2.21/0.77 inference(ennf_transformation,[],[f679])). 2.21/0.77 thf(f679,plain,( 2.21/0.77 ~((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) => ((breln1unionEcases = $true) => ((breln1unionCommutes = $true) => ((woz2Ex = $true) => ((woz2W = $true) => ((woz2A = $true) => ((woz2B = $true) => ((image1Ex = $true) => ((image1Ex1 = $true) => ((image1Equiv = $true) => ((image1E = $true) => ((image1I = $true) => ((injFuncInInjFuncSet = $true) => ! [X0,X1,X2] : (((in @ X1 @ (injFuncSet @ X2 @ X0)) = $true) => ((in @ X1 @ (funcSet @ X2 @ X0)) = $true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.21/0.77 inference(fool_elimination,[],[f678])). 2.21/0.77 thf(f678,plain,( 2.21/0.77 ~(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 => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => ! [X0,X1,X2] : ((in @ X1 @ (injFuncSet @ X2 @ X0)) => (in @ X1 @ (funcSet @ X2 @ X0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.21/0.77 inference(rectify,[],[f320])). 2.21/0.77 thf(f320,negated_conjecture,( 2.21/0.77 ~(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 => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => ! [X4,X12,X3] : ((in @ X12 @ (injFuncSet @ X3 @ X4)) => (in @ X12 @ (funcSet @ X3 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.21/0.77 inference(negated_conjecture,[],[f319])). 2.21/0.77 thf(f319,conjecture,( 2.21/0.77 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 => (breln1unionEcases => (breln1unionCommutes => (woz2Ex => (woz2W => (woz2A => (woz2B => (image1Ex => (image1Ex1 => (image1Equiv => (image1E => (image1I => (injFuncInInjFuncSet => ! [X4,X12,X3] : ((in @ X12 @ (injFuncSet @ X3 @ X4)) => (in @ X12 @ (funcSet @ X3 @ X4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 2.21/0.77 file('/export/starexec/sandbox/tmp/tmp.gKP4WcE5jr/Vampire---4.8_4913',injFuncSetFuncIn)). 2.21/0.77 thf(f9723,plain,( 2.21/0.77 ((in @ sK604 @ (funcSet @ sK605 @ sK603)) = $true)), 2.21/0.77 inference(trivial_inequality_removal,[],[f9716])). 2.21/0.77 thf(f9716,plain,( 2.21/0.77 ($true != $true) | ((in @ sK604 @ (funcSet @ sK605 @ sK603)) = $true)), 2.21/0.77 inference(superposition,[],[f6656,f6837])). 2.21/0.77 thf(f6837,plain,( 2.21/0.77 ((in @ sK604 @ (dsetconstr @ (funcSet @ sK605 @ sK603) @ (injective @ sK605 @ sK603))) = $true)), 2.21/0.77 inference(beta_eta_normalization,[],[f5753])). 2.21/0.77 thf(f5753,plain,( 2.21/0.77 ((in @ sK604 @ ((^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))) @ sK605 @ sK603)) = $true)), 2.21/0.77 inference(definition_unfolding,[],[f4212,f4030])). 2.21/0.77 thf(f4030,plain,( 2.21/0.77 (injFuncSet = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))))), 2.21/0.77 inference(cnf_transformation,[],[f353])). 2.21/0.77 thf(f353,plain,( 2.21/0.77 (injFuncSet = (^[Y0 : $i]: ((^[Y1 : $i]: (dsetconstr @ (funcSet @ Y0 @ Y1) @ (^[Y2 : $i]: (injective @ Y0 @ Y1 @ Y2)))))))), 2.21/0.77 inference(fool_elimination,[],[f352])). 2.21/0.77 thf(f352,plain,( 2.21/0.77 ((^[X0 : $i, X1 : $i] : (dsetconstr @ (funcSet @ X0 @ X1) @ (^[X2 : $i] : (injective @ X0 @ X1 @ X2)))) = injFuncSet)), 2.21/0.77 inference(rectify,[],[f317])). 2.21/0.77 thf(f317,axiom,( 2.21/0.77 ((^[X3 : $i, X4 : $i] : (dsetconstr @ (funcSet @ X3 @ X4) @ (^[X12 : $i] : (injective @ X3 @ X4 @ X12)))) = injFuncSet)), 2.21/0.77 file('/export/starexec/sandbox/tmp/tmp.gKP4WcE5jr/Vampire---4.8_4913',injFuncSet)). 2.21/0.77 thf(f4212,plain,( 2.21/0.77 ((in @ sK604 @ (injFuncSet @ sK605 @ sK603)) = $true)), 2.21/0.77 inference(cnf_transformation,[],[f2401])). 2.21/0.77 thf(f6656,plain,( 2.21/0.77 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ X3)) != $true) | ((in @ X5 @ X4) = $true)) )), 2.21/0.77 inference(beta_eta_normalization,[],[f6655])). 2.21/0.77 thf(f6655,plain,( 2.21/0.77 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((in @ X5 @ X4) = $true)) )), 2.21/0.77 inference(trivial_inequality_removal,[],[f6155])). 2.21/0.77 thf(f6155,plain,( 2.21/0.77 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | ((in @ X5 @ X4) = $true) | ($true != $true)) )), 2.21/0.77 inference(definition_unfolding,[],[f4916,f4304])). 2.21/0.77 thf(f4304,plain,( 2.21/0.77 (dsetconstrEL = $true)), 2.21/0.77 inference(cnf_transformation,[],[f2401])). 2.21/0.77 thf(f4916,plain,( 2.21/0.77 ( ! [X3 : $i > $o,X4 : $i,X5 : $i] : (((in @ X5 @ X4) = $true) | ((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true) | (dsetconstrEL != $true)) )), 2.21/0.77 inference(cnf_transformation,[],[f3004])). 2.21/0.77 thf(f3004,plain,( 2.21/0.77 ((dsetconstrEL = $true) | (((in @ sK967 @ sK966) != $true) & ((in @ sK967 @ (dsetconstr @ sK966 @ (^[Y0 : $i]: (sK965 @ Y0)))) = $true))) & (! [X3 : $i > $o,X4,X5] : (((in @ X5 @ X4) = $true) | ((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true)) | (dsetconstrEL != $true))), 2.21/0.77 inference(skolemisation,[status(esa),new_symbols(skolem,[sK965,sK966,sK967])],[f3002,f3003])). 2.21/0.77 thf(f3003,plain,( 2.21/0.77 ? [X0 : $i > $o,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) = $true)) => (((in @ sK967 @ sK966) != $true) & ((in @ sK967 @ (dsetconstr @ sK966 @ (^[Y0 : $i]: (sK965 @ Y0)))) = $true))), 2.21/0.77 introduced(choice_axiom,[])). 2.21/0.77 thf(f3002,plain,( 2.21/0.77 ((dsetconstrEL = $true) | ? [X0 : $i > $o,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) = $true))) & (! [X3 : $i > $o,X4,X5] : (((in @ X5 @ X4) = $true) | ((in @ X5 @ (dsetconstr @ X4 @ (^[Y0 : $i]: (X3 @ Y0)))) != $true)) | (dsetconstrEL != $true))), 2.21/0.77 inference(rectify,[],[f3001])). 2.21/0.77 thf(f3001,plain,( 2.21/0.77 ((dsetconstrEL = $true) | ? [X0 : $i > $o,X1,X2] : (((in @ X2 @ X1) != $true) & ((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) = $true))) & (! [X0 : $i > $o,X1,X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) != $true)) | (dsetconstrEL != $true))), 2.21/0.77 inference(nnf_transformation,[],[f1133])). 2.21/0.77 thf(f1133,plain,( 2.21/0.77 (dsetconstrEL = $true) <=> ! [X0 : $i > $o,X1,X2] : (((in @ X2 @ X1) = $true) | ((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) != $true))), 2.21/0.77 inference(ennf_transformation,[],[f343])). 2.21/0.77 thf(f343,plain,( 2.21/0.77 ! [X0 : $i > $o,X1,X2] : (((in @ X2 @ (dsetconstr @ X1 @ (^[Y0 : $i]: (X0 @ Y0)))) = $true) => ((in @ X2 @ X1) = $true)) <=> (dsetconstrEL = $true)), 2.21/0.77 inference(fool_elimination,[],[f342])). 2.21/0.77 thf(f342,plain,( 2.21/0.77 (! [X0 : $i > $o,X1,X2] : ((in @ X2 @ (dsetconstr @ X1 @ (^[X3 : $i] : (X0 @ X3)))) => (in @ X2 @ X1)) = dsetconstrEL)), 2.21/0.77 inference(rectify,[],[f15])). 2.21/0.77 thf(f15,axiom,( 2.21/0.77 (! [X0 : $i > $o,X3,X1] : ((in @ X1 @ (dsetconstr @ X3 @ (^[X2 : $i] : (X0 @ X2)))) => (in @ X1 @ X3)) = dsetconstrEL)), 2.21/0.77 file('/export/starexec/sandbox/tmp/tmp.gKP4WcE5jr/Vampire---4.8_4913',dsetconstrEL)). 2.21/0.77 % SZS output end Proof for Vampire---4 2.21/0.77 % (5172)------------------------------ 2.21/0.77 % (5172)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100) 2.21/0.77 % (5172)Termination reason: Refutation 2.21/0.77 2.21/0.77 % (5172)Memory used [KB]: 12920 2.21/0.77 % (5172)Time elapsed: 0.261 s 2.21/0.77 % (5172)Instructions burned: 641 (million) 2.21/0.77 % (5172)------------------------------ 2.21/0.77 % (5172)------------------------------ 2.21/0.77 % (5157)Success in time 0.335 s 2.21/0.77 % Vampire---4.8 exiting 2.21/0.77 EOF