0.07/0.13	% Problem    : Vampire---4.8_25977 : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
0.15/0.36	% Computer : n006.cluster.edu
0.15/0.36	% Model    : x86_64 x86_64
0.15/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory   : 8042.1875MB
0.15/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit   : 1440
0.15/0.36	% WCLimit    : 180
0.15/0.36	% DateTime   : Mon Jul  3 12:49:21 EDT 2023
0.15/0.36	% CPUTime    : 
0.15/0.37	This is a THF_ problem
0.15/0.37	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.kk9AojkMIn/Vampire---4.8_25977 -m 12000  -t 180
0.15/0.39	% (26217)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (1799ds/17Mi)
0.15/0.39	% (26213)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on Vampire---4 for (1799ds/96Mi)
0.15/0.39	% (26216)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)
0.15/0.39	% (26215)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)
0.15/0.39	% (26214)lrs+10_1:2_cnfonf=off:hud=1:inj=on:i=36:si=on:rtra=on_0 on Vampire---4 for (1799ds/36Mi)
0.15/0.39	% (26219)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)
0.15/0.39	% (26218)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)
0.15/0.39	% (26220)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)
0.15/0.39	% (26219)Instruction limit reached!
0.15/0.39	% (26219)------------------------------
0.15/0.39	% (26219)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (26219)Termination reason: Unknown
0.15/0.39	% (26219)Termination phase: Property scanning
0.15/0.39	
0.15/0.39	% (26219)Memory used [KB]: 1023
0.15/0.39	% (26219)Time elapsed: 0.004 s
0.15/0.39	% (26219)Instructions burned: 4 (million)
0.15/0.39	% (26219)------------------------------
0.15/0.39	% (26219)------------------------------
0.15/0.39	% (26220)Refutation not found, incomplete strategy
0.15/0.39	% (26220)------------------------------
0.15/0.39	% (26220)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (26220)Termination reason: Refutation not found, incomplete strategy
0.15/0.39	
0.15/0.39	
0.15/0.39	% (26220)Memory used [KB]: 5500
0.15/0.39	% (26220)Time elapsed: 0.005 s
0.15/0.39	% (26220)Instructions burned: 6 (million)
0.15/0.39	% (26220)------------------------------
0.15/0.39	% (26220)------------------------------
0.15/0.39	% (26217)Instruction limit reached!
0.15/0.39	% (26217)------------------------------
0.15/0.39	% (26217)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.15/0.39	% (26217)Termination reason: Unknown
0.15/0.39	% (26217)Termination phase: Saturation
0.15/0.39	
0.15/0.39	% (26217)Memory used [KB]: 5628
0.15/0.39	% (26217)Time elapsed: 0.009 s
0.15/0.39	% (26217)Instructions burned: 17 (million)
0.15/0.39	% (26217)------------------------------
0.15/0.39	% (26217)------------------------------
0.23/0.40	% (26221)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)
0.23/0.41	% (26215)Instruction limit reached!
0.23/0.41	% (26215)------------------------------
0.23/0.41	% (26215)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.41	% (26215)Termination reason: Unknown
0.23/0.41	% (26215)Termination phase: Saturation
0.23/0.41	
0.23/0.41	% (26215)Memory used [KB]: 5884
0.23/0.41	% (26215)Time elapsed: 0.021 s
0.23/0.41	% (26215)Instructions burned: 35 (million)
0.23/0.41	% (26215)------------------------------
0.23/0.41	% (26215)------------------------------
0.23/0.41	% (26222)lrs-3_1:1024_cbe=off:chr=on:tnu=1:i=7:si=on:rtra=on_0 on Vampire---4 for (1799ds/7Mi)
0.23/0.41	% (26214)Instruction limit reached!
0.23/0.41	% (26214)------------------------------
0.23/0.41	% (26214)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.41	% (26214)Termination reason: Unknown
0.23/0.41	% (26214)Termination phase: Saturation
0.23/0.41	
0.23/0.41	% (26214)Memory used [KB]: 5756
0.23/0.41	% (26214)Time elapsed: 0.022 s
0.23/0.41	% (26214)Instructions burned: 36 (million)
0.23/0.41	% (26214)------------------------------
0.23/0.41	% (26214)------------------------------
0.23/0.41	% (26223)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)
0.23/0.41	% (26222)Instruction limit reached!
0.23/0.41	% (26222)------------------------------
0.23/0.41	% (26222)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.41	% (26222)Termination reason: Unknown
0.23/0.41	% (26222)Termination phase: Saturation
0.23/0.41	
0.23/0.41	% (26222)Memory used [KB]: 5500
0.23/0.41	% (26222)Time elapsed: 0.006 s
0.23/0.41	% (26222)Instructions burned: 8 (million)
0.23/0.41	% (26222)------------------------------
0.23/0.41	% (26222)------------------------------
0.23/0.42	% (26221)Instruction limit reached!
0.23/0.42	% (26221)------------------------------
0.23/0.42	% (26221)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.42	% (26221)Termination reason: Unknown
0.23/0.42	% (26221)Termination phase: Saturation
0.23/0.42	
0.23/0.42	% (26221)Memory used [KB]: 5756
0.23/0.42	% (26221)Time elapsed: 0.014 s
0.23/0.42	% (26221)Instructions burned: 21 (million)
0.23/0.42	% (26221)------------------------------
0.23/0.42	% (26221)------------------------------
0.23/0.42	% (26224)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)
0.23/0.42	% (26225)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)
0.23/0.43	% (26226)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)
0.23/0.43	% (26225)Instruction limit reached!
0.23/0.43	% (26225)------------------------------
0.23/0.43	% (26225)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.43	% (26225)Termination reason: Unknown
0.23/0.43	% (26225)Termination phase: Saturation
0.23/0.43	
0.23/0.43	% (26225)Memory used [KB]: 5628
0.23/0.43	% (26225)Time elapsed: 0.007 s
0.23/0.43	% (26225)Instructions burned: 10 (million)
0.23/0.43	% (26225)------------------------------
0.23/0.43	% (26225)------------------------------
0.23/0.43	% (26227)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)
0.23/0.44	% (26218)Instruction limit reached!
0.23/0.44	% (26218)------------------------------
0.23/0.44	% (26218)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.44	% (26218)Termination reason: Unknown
0.23/0.44	% (26218)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (26218)Memory used [KB]: 6140
0.23/0.44	% (26218)Time elapsed: 0.049 s
0.23/0.44	% (26218)Instructions burned: 74 (million)
0.23/0.44	% (26218)------------------------------
0.23/0.44	% (26218)------------------------------
0.23/0.44	% (26230)lrs+21_1:1_cond=on:e2e=on:i=61:si=on:rtra=on_0 on Vampire---4 for (1799ds/61Mi)
0.23/0.44	% (26213)Instruction limit reached!
0.23/0.44	% (26213)------------------------------
0.23/0.44	% (26213)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.44	% (26213)Termination reason: Unknown
0.23/0.44	% (26213)Termination phase: Saturation
0.23/0.44	
0.23/0.44	% (26213)Memory used [KB]: 6012
0.23/0.44	% (26213)Time elapsed: 0.059 s
0.23/0.44	% (26213)Instructions burned: 96 (million)
0.23/0.44	% (26213)------------------------------
0.23/0.44	% (26213)------------------------------
0.23/0.46	% (26237)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 (1799ds/2Mi)
0.23/0.46	% (26234)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=14:si=on:rtra=on_0 on Vampire---4 for (1799ds/14Mi)
0.23/0.46	% (26237)Instruction limit reached!
0.23/0.46	% (26237)------------------------------
0.23/0.46	% (26237)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.46	% (26237)Termination reason: Unknown
0.23/0.46	% (26237)Termination phase: shuffling
0.23/0.46	
0.23/0.46	% (26237)Memory used [KB]: 1023
0.23/0.46	% (26237)Time elapsed: 0.003 s
0.23/0.46	% (26237)Instructions burned: 2 (million)
0.23/0.46	% (26237)------------------------------
0.23/0.46	% (26237)------------------------------
0.23/0.46	% (26224)Instruction limit reached!
0.23/0.46	% (26224)------------------------------
0.23/0.46	% (26224)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.46	% (26224)Termination reason: Unknown
0.23/0.46	% (26224)Termination phase: Saturation
0.23/0.46	
0.23/0.46	% (26224)Memory used [KB]: 5884
0.23/0.46	% (26224)Time elapsed: 0.046 s
0.23/0.46	% (26224)Instructions burned: 72 (million)
0.23/0.46	% (26224)------------------------------
0.23/0.46	% (26224)------------------------------
0.23/0.47	% (26234)Instruction limit reached!
0.23/0.47	% (26234)------------------------------
0.23/0.47	% (26234)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.47	% (26234)Termination reason: Unknown
0.23/0.47	% (26234)Termination phase: Saturation
0.23/0.47	
0.23/0.47	% (26234)Memory used [KB]: 5628
0.23/0.47	% (26234)Time elapsed: 0.010 s
0.23/0.47	% (26234)Instructions burned: 14 (million)
0.23/0.47	% (26234)------------------------------
0.23/0.47	% (26234)------------------------------
0.23/0.47	% (26241)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 (1799ds/1041Mi)
0.23/0.48	% (26230)Instruction limit reached!
0.23/0.48	% (26230)------------------------------
0.23/0.48	% (26230)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.48	% (26230)Termination reason: Unknown
0.23/0.48	% (26230)Termination phase: Saturation
0.23/0.48	
0.23/0.48	% (26230)Memory used [KB]: 6012
0.23/0.48	% (26230)Time elapsed: 0.036 s
0.23/0.48	% (26230)Instructions burned: 62 (million)
0.23/0.48	% (26230)------------------------------
0.23/0.48	% (26230)------------------------------
0.23/0.48	% (26247)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 (1799ds/140Mi)
0.23/0.48	% (26246)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 (1799ds/11Mi)
0.23/0.48	% (26247)Refutation not found, incomplete strategy
0.23/0.48	% (26247)------------------------------
0.23/0.48	% (26247)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.48	% (26247)Termination reason: Refutation not found, incomplete strategy
0.23/0.48	
0.23/0.48	
0.23/0.48	% (26247)Memory used [KB]: 5628
0.23/0.48	% (26247)Time elapsed: 0.009 s
0.23/0.48	% (26247)Instructions burned: 15 (million)
0.23/0.48	% (26247)------------------------------
0.23/0.48	% (26247)------------------------------
0.23/0.49	% (26246)Instruction limit reached!
0.23/0.49	% (26246)------------------------------
0.23/0.49	% (26246)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.49	% (26246)Termination reason: Unknown
0.23/0.49	% (26246)Termination phase: Saturation
0.23/0.49	
0.23/0.49	% (26246)Memory used [KB]: 5628
0.23/0.49	% (26246)Time elapsed: 0.008 s
0.23/0.49	% (26246)Instructions burned: 13 (million)
0.23/0.49	% (26246)------------------------------
0.23/0.49	% (26246)------------------------------
0.23/0.49	% (26260)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 (1799ds/26Mi)
0.23/0.49	% (26265)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)
0.23/0.50	% (26267)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)
0.23/0.50	% (26267)Refutation not found, incomplete strategy
0.23/0.50	% (26267)------------------------------
0.23/0.50	% (26267)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.50	% (26267)Termination reason: Refutation not found, incomplete strategy
0.23/0.50	
0.23/0.50	
0.23/0.50	% (26267)Memory used [KB]: 5500
0.23/0.50	% (26267)Time elapsed: 0.003 s
0.23/0.50	% (26267)Instructions burned: 6 (million)
0.23/0.50	% (26267)------------------------------
0.23/0.50	% (26267)------------------------------
0.23/0.50	% (26260)Instruction limit reached!
0.23/0.50	% (26260)------------------------------
0.23/0.50	% (26260)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.50	% (26260)Termination reason: Unknown
0.23/0.50	% (26260)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (26260)Memory used [KB]: 5756
0.23/0.50	% (26260)Time elapsed: 0.012 s
0.23/0.50	% (26260)Instructions burned: 26 (million)
0.23/0.50	% (26260)------------------------------
0.23/0.50	% (26260)------------------------------
0.23/0.50	% (26227)Instruction limit reached!
0.23/0.50	% (26227)------------------------------
0.23/0.50	% (26227)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.50	% (26227)Termination reason: Unknown
0.23/0.50	% (26227)Termination phase: Saturation
0.23/0.50	
0.23/0.50	% (26227)Memory used [KB]: 6012
0.23/0.50	% (26227)Time elapsed: 0.074 s
0.23/0.50	% (26227)Instructions burned: 130 (million)
0.23/0.50	% (26227)------------------------------
0.23/0.50	% (26227)------------------------------
0.23/0.51	% (26285)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 (1798ds/3Mi)
0.23/0.51	% (26286)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 (1798ds/19Mi)
0.23/0.51	% (26285)Instruction limit reached!
0.23/0.51	% (26285)------------------------------
0.23/0.51	% (26285)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.51	% (26285)Termination reason: Unknown
0.23/0.51	% (26285)Termination phase: Property scanning
0.23/0.51	
0.23/0.51	% (26285)Memory used [KB]: 1023
0.23/0.51	% (26285)Time elapsed: 0.002 s
0.23/0.51	% (26285)Instructions burned: 4 (million)
0.23/0.51	% (26285)------------------------------
0.23/0.51	% (26285)------------------------------
0.23/0.51	% (26288)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 (1798ds/44Mi)
0.23/0.51	% (26286)Refutation not found, incomplete strategy
0.23/0.51	% (26286)------------------------------
0.23/0.51	% (26286)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.51	% (26286)Termination reason: Refutation not found, incomplete strategy
0.23/0.51	
0.23/0.51	
0.23/0.51	% (26286)Memory used [KB]: 5628
0.23/0.51	% (26286)Time elapsed: 0.005 s
0.23/0.51	% (26286)Instructions burned: 13 (million)
0.23/0.51	% (26286)------------------------------
0.23/0.51	% (26286)------------------------------
0.23/0.52	% (26265)Instruction limit reached!
0.23/0.52	% (26265)------------------------------
0.23/0.52	% (26265)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.52	% (26265)Termination reason: Unknown
0.23/0.52	% (26265)Termination phase: Saturation
0.23/0.52	
0.23/0.52	% (26265)Memory used [KB]: 1535
0.23/0.52	% (26265)Time elapsed: 0.024 s
0.23/0.52	% (26265)Instructions burned: 58 (million)
0.23/0.52	% (26265)------------------------------
0.23/0.52	% (26265)------------------------------
0.23/0.52	% (26295)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=191:si=on:rtra=on_0 on Vampire---4 for (1798ds/191Mi)
0.23/0.52	% (26297)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 (1798ds/62Mi)
0.23/0.52	% (26288)Instruction limit reached!
0.23/0.52	% (26288)------------------------------
0.23/0.52	% (26288)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.53	% (26288)Termination reason: Unknown
0.23/0.53	% (26288)Termination phase: Saturation
0.23/0.53	
0.23/0.53	% (26288)Memory used [KB]: 1279
0.23/0.53	% (26288)Time elapsed: 0.015 s
0.23/0.53	% (26288)Instructions burned: 45 (million)
0.23/0.53	% (26288)------------------------------
0.23/0.53	% (26288)------------------------------
0.23/0.53	% (26305)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 (1798ds/105Mi)
0.23/0.53	% (26313)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (1798ds/3Mi)
0.23/0.53	% (26313)Instruction limit reached!
0.23/0.53	% (26313)------------------------------
0.23/0.53	% (26313)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.53	% (26313)Termination reason: Unknown
0.23/0.53	% (26313)Termination phase: Property scanning
0.23/0.53	
0.23/0.53	% (26313)Memory used [KB]: 1023
0.23/0.53	% (26313)Time elapsed: 0.002 s
0.23/0.53	% (26313)Instructions burned: 3 (million)
0.23/0.53	% (26313)------------------------------
0.23/0.53	% (26313)------------------------------
0.23/0.54	% (26314)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 (1798ds/238Mi)
0.23/0.54	% (26297)Instruction limit reached!
0.23/0.54	% (26297)------------------------------
0.23/0.54	% (26297)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.54	% (26297)Termination reason: Unknown
0.23/0.54	% (26297)Termination phase: Saturation
0.23/0.54	
0.23/0.54	% (26297)Memory used [KB]: 6012
0.23/0.54	% (26297)Time elapsed: 0.023 s
0.23/0.54	% (26297)Instructions burned: 64 (million)
0.23/0.54	% (26297)------------------------------
0.23/0.54	% (26297)------------------------------
0.23/0.55	% (26321)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 (1798ds/3Mi)
0.23/0.55	% (26321)Instruction limit reached!
0.23/0.55	% (26321)------------------------------
0.23/0.55	% (26321)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.55	% (26321)Termination reason: Unknown
0.23/0.55	% (26321)Termination phase: Property scanning
0.23/0.55	
0.23/0.55	% (26321)Memory used [KB]: 1023
0.23/0.55	% (26321)Time elapsed: 0.002 s
0.23/0.55	% (26321)Instructions burned: 3 (million)
0.23/0.55	% (26321)------------------------------
0.23/0.55	% (26321)------------------------------
0.23/0.56	% (26216)Instruction limit reached!
0.23/0.56	% (26216)------------------------------
0.23/0.56	% (26216)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.56	% (26216)Termination reason: Unknown
0.23/0.56	% (26216)Termination phase: Saturation
0.23/0.56	
0.23/0.56	% (26216)Memory used [KB]: 6396
0.23/0.56	% (26216)Time elapsed: 0.175 s
0.23/0.56	% (26216)Instructions burned: 385 (million)
0.23/0.56	% (26216)------------------------------
0.23/0.56	% (26216)------------------------------
0.23/0.56	% (26326)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 (1798ds/4Mi)
0.23/0.56	% (26326)Instruction limit reached!
0.23/0.56	% (26326)------------------------------
0.23/0.56	% (26326)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.56	% (26326)Termination reason: Unknown
0.23/0.56	% (26326)Termination phase: Property scanning
0.23/0.56	
0.23/0.56	% (26326)Memory used [KB]: 1023
0.23/0.56	% (26326)Time elapsed: 0.003 s
0.23/0.56	% (26326)Instructions burned: 7 (million)
0.23/0.56	% (26326)------------------------------
0.23/0.56	% (26326)------------------------------
0.23/0.57	% (26305)Instruction limit reached!
0.23/0.57	% (26305)------------------------------
0.23/0.57	% (26305)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.57	% (26305)Termination reason: Unknown
0.23/0.57	% (26305)Termination phase: Saturation
0.23/0.57	
0.23/0.57	% (26305)Memory used [KB]: 6012
0.23/0.57	% (26305)Time elapsed: 0.047 s
0.23/0.57	% (26305)Instructions burned: 105 (million)
0.23/0.57	% (26305)------------------------------
0.23/0.57	% (26305)------------------------------
0.23/0.58	% (26333)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on Vampire---4 for (1798ds/150Mi)
0.23/0.58	% (26295)Instruction limit reached!
0.23/0.58	% (26295)------------------------------
0.23/0.58	% (26295)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
0.23/0.58	% (26295)Termination reason: Unknown
0.23/0.58	% (26295)Termination phase: Saturation
0.23/0.58	
0.23/0.58	% (26295)Memory used [KB]: 6396
0.23/0.58	% (26295)Time elapsed: 0.064 s
0.23/0.58	% (26295)Instructions burned: 193 (million)
0.23/0.58	% (26295)------------------------------
0.23/0.58	% (26295)------------------------------
0.23/0.58	% (26342)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 (1798ds/199Mi)
1.82/0.59	% (26342)Refutation not found, incomplete strategy
1.82/0.59	% (26342)------------------------------
1.82/0.59	% (26342)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.82/0.59	% (26342)Termination reason: Refutation not found, incomplete strategy
1.82/0.59	
1.82/0.59	
1.82/0.59	% (26342)Memory used [KB]: 5628
1.82/0.59	% (26342)Time elapsed: 0.006 s
1.82/0.59	% (26342)Instructions burned: 16 (million)
1.82/0.59	% (26342)------------------------------
1.82/0.59	% (26342)------------------------------
1.82/0.59	% (26343)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on Vampire---4 for (1798ds/39Mi)
1.82/0.59	% (26332)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 (1798ds/149Mi)
1.82/0.60	% (26344)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=721:si=on:rtra=on_0 on Vampire---4 for (1797ds/721Mi)
1.82/0.60	% (26343)Instruction limit reached!
1.82/0.60	% (26343)------------------------------
1.82/0.60	% (26343)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.82/0.60	% (26343)Termination reason: Unknown
1.82/0.60	% (26343)Termination phase: Saturation
1.82/0.60	
1.82/0.60	% (26343)Memory used [KB]: 5884
1.82/0.60	% (26343)Time elapsed: 0.014 s
1.82/0.60	% (26343)Instructions burned: 40 (million)
1.82/0.60	% (26343)------------------------------
1.82/0.60	% (26343)------------------------------
1.95/0.60	% (26333)Refutation not found, incomplete strategy
1.95/0.60	% (26333)------------------------------
1.95/0.60	% (26333)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.95/0.60	% (26333)Termination reason: Refutation not found, incomplete strategy
1.95/0.60	
1.95/0.60	
1.95/0.60	% (26333)Memory used [KB]: 6012
1.95/0.60	% (26333)Time elapsed: 0.051 s
1.95/0.60	% (26333)Instructions burned: 82 (million)
1.95/0.60	% (26333)------------------------------
1.95/0.60	% (26333)------------------------------
1.95/0.61	% (26345)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=3:si=on:rtra=on_0 on Vampire---4 for (1797ds/3Mi)
1.95/0.61	% (26345)Instruction limit reached!
1.95/0.61	% (26345)------------------------------
1.95/0.61	% (26345)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.95/0.61	% (26345)Termination reason: Unknown
1.95/0.61	% (26345)Termination phase: Property scanning
1.95/0.61	
1.95/0.61	% (26345)Memory used [KB]: 1023
1.95/0.61	% (26345)Time elapsed: 0.002 s
1.95/0.61	% (26345)Instructions burned: 4 (million)
1.95/0.61	% (26345)------------------------------
1.95/0.61	% (26345)------------------------------
1.95/0.61	% (26346)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (1797ds/18Mi)
1.95/0.62	% (26314)Instruction limit reached!
1.95/0.62	% (26314)------------------------------
1.95/0.62	% (26314)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.95/0.62	% (26314)Termination reason: Unknown
1.95/0.62	% (26314)Termination phase: Saturation
1.95/0.62	
1.95/0.62	% (26314)Memory used [KB]: 6140
1.95/0.62	% (26314)Time elapsed: 0.078 s
1.95/0.62	% (26314)Instructions burned: 238 (million)
1.95/0.62	% (26314)------------------------------
1.95/0.62	% (26314)------------------------------
1.95/0.62	% (26346)Instruction limit reached!
1.95/0.62	% (26346)------------------------------
1.95/0.62	% (26346)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
1.95/0.62	% (26346)Termination reason: Unknown
1.95/0.62	% (26346)Termination phase: Saturation
1.95/0.62	
1.95/0.62	% (26346)Memory used [KB]: 5628
1.95/0.62	% (26346)Time elapsed: 0.032 s
1.95/0.62	% (26346)Instructions burned: 19 (million)
1.95/0.62	% (26346)------------------------------
1.95/0.62	% (26346)------------------------------
1.95/0.62	% (26347)lrs+10_1:1_au=on:c=on:sac=on:slsq=on:slsqc=2:i=218:si=on:rtra=on_0 on Vampire---4 for (1797ds/218Mi)
1.95/0.63	% (26348)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on Vampire---4 for (1797ds/448Mi)
1.95/0.63	% (26349)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on Vampire---4 for (1797ds/6Mi)
2.12/0.63	% (26349)Instruction limit reached!
2.12/0.63	% (26349)------------------------------
2.12/0.63	% (26349)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.63	% (26349)Termination reason: Unknown
2.12/0.63	% (26349)Termination phase: Function definition elimination
2.12/0.63	
2.12/0.63	% (26349)Memory used [KB]: 1023
2.12/0.63	% (26349)Time elapsed: 0.003 s
2.12/0.63	% (26349)Instructions burned: 6 (million)
2.12/0.63	% (26349)------------------------------
2.12/0.63	% (26349)------------------------------
2.12/0.64	% (26350)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=9:si=on:rtra=on_0 on Vampire---4 for (1797ds/9Mi)
2.12/0.64	% (26350)Instruction limit reached!
2.12/0.64	% (26350)------------------------------
2.12/0.64	% (26350)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.64	% (26350)Termination reason: Unknown
2.12/0.64	% (26350)Termination phase: Saturation
2.12/0.64	
2.12/0.64	% (26350)Memory used [KB]: 5628
2.12/0.64	% (26350)Time elapsed: 0.004 s
2.12/0.64	% (26350)Instructions burned: 10 (million)
2.12/0.64	% (26350)------------------------------
2.12/0.64	% (26350)------------------------------
2.12/0.64	% (26332)Instruction limit reached!
2.12/0.64	% (26332)------------------------------
2.12/0.64	% (26332)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.64	% (26332)Termination reason: Unknown
2.12/0.64	% (26332)Termination phase: Saturation
2.12/0.64	
2.12/0.64	% (26332)Memory used [KB]: 6140
2.12/0.64	% (26332)Time elapsed: 0.084 s
2.12/0.64	% (26332)Instructions burned: 149 (million)
2.12/0.64	% (26332)------------------------------
2.12/0.64	% (26332)------------------------------
2.12/0.65	% (26351)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (1797ds/16Mi)
2.12/0.65	% (26352)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=40:si=on:rtra=on_0 on Vampire---4 for (1797ds/40Mi)
2.12/0.66	% (26351)Instruction limit reached!
2.12/0.66	% (26351)------------------------------
2.12/0.66	% (26351)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.66	% (26351)Termination reason: Unknown
2.12/0.66	% (26351)Termination phase: Saturation
2.12/0.66	
2.12/0.66	% (26351)Memory used [KB]: 5628
2.12/0.66	% (26351)Time elapsed: 0.006 s
2.12/0.66	% (26351)Instructions burned: 17 (million)
2.12/0.66	% (26351)------------------------------
2.12/0.66	% (26351)------------------------------
2.12/0.66	% (26353)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (1797ds/2Mi)
2.12/0.66	% (26352)Instruction limit reached!
2.12/0.66	% (26352)------------------------------
2.12/0.66	% (26352)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.66	% (26352)Termination reason: Unknown
2.12/0.66	% (26352)Termination phase: Saturation
2.12/0.66	
2.12/0.66	% (26352)Memory used [KB]: 5884
2.12/0.66	% (26352)Time elapsed: 0.036 s
2.12/0.66	% (26352)Instructions burned: 40 (million)
2.12/0.66	% (26352)------------------------------
2.12/0.66	% (26352)------------------------------
2.12/0.66	% (26353)Instruction limit reached!
2.12/0.66	% (26353)------------------------------
2.12/0.66	% (26353)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.66	% (26353)Termination reason: Unknown
2.12/0.66	% (26353)Termination phase: Property scanning
2.12/0.66	
2.12/0.66	% (26353)Memory used [KB]: 1023
2.12/0.66	% (26353)Time elapsed: 0.002 s
2.12/0.66	% (26353)Instructions burned: 3 (million)
2.12/0.66	% (26353)------------------------------
2.12/0.66	% (26353)------------------------------
2.12/0.67	% (26354)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on Vampire---4 for (1797ds/98Mi)
2.12/0.67	% (26355)lrs+1004_1:1_chr=on:prag=on:i=8:si=on:rtra=on_0 on Vampire---4 for (1797ds/8Mi)
2.12/0.68	% (26355)Instruction limit reached!
2.12/0.68	% (26355)------------------------------
2.12/0.68	% (26355)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.68	% (26355)Termination reason: Unknown
2.12/0.68	% (26355)Termination phase: Saturation
2.12/0.68	
2.12/0.68	% (26355)Memory used [KB]: 5628
2.12/0.68	% (26355)Time elapsed: 0.004 s
2.12/0.68	% (26355)Instructions burned: 10 (million)
2.12/0.68	% (26355)------------------------------
2.12/0.68	% (26355)------------------------------
2.12/0.68	% (26226)First to succeed.
2.12/0.68	% (26356)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on Vampire---4 for (1796ds/86Mi)
2.12/0.69	% (26347)Instruction limit reached!
2.12/0.69	% (26347)------------------------------
2.12/0.69	% (26347)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.69	% (26347)Termination reason: Unknown
2.12/0.69	% (26347)Termination phase: Saturation
2.12/0.69	
2.12/0.69	% (26347)Memory used [KB]: 6012
2.12/0.69	% (26347)Time elapsed: 0.098 s
2.12/0.69	% (26347)Instructions burned: 219 (million)
2.12/0.69	% (26347)------------------------------
2.12/0.69	% (26347)------------------------------
2.12/0.70	% (26226)Refutation found. Thanks to Tanya!
2.12/0.70	% SZS status Theorem for Vampire---4
2.12/0.70	% SZS output start Proof for Vampire---4
2.12/0.70	thf(type_def_5, type, mworld: $tType).
2.12/0.70	thf(func_def_0, type, mworld: $tType).
2.12/0.70	thf(func_def_1, type, mrel: mworld > mworld > $o).
2.12/0.70	thf(func_def_2, type, mactual: mworld).
2.12/0.70	thf(func_def_3, type, mlocal: (mworld > $o) > $o).
2.12/0.70	thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_12, type, eiw_di: $i > mworld > $o).
2.12/0.70	thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
2.12/0.70	thf(func_def_17, type, number: $i > $i > mworld > $o).
2.12/0.70	thf(func_def_18, type, string: $i > mworld > $o).
2.12/0.70	thf(func_def_19, type, in: $i > $i > $i > mworld > $o).
2.12/0.70	thf(func_def_20, type, do: $i > $i > $i > mworld > $o).
2.12/0.70	thf(func_def_21, type, entry_box: $i > mworld > $o).
2.12/0.70	thf(func_def_22, type, userid: $i > $i > mworld > $o).
2.12/0.70	thf(func_def_38, type, sK0: mworld > $i).
2.12/0.70	thf(func_def_43, type, sK2: mworld).
2.12/0.70	thf(func_def_44, type, sK3: $i > $i > mworld).
2.12/0.70	thf(func_def_45, type, sK4: $i > $i > $i > $i > mworld).
2.12/0.70	thf(func_def_46, type, sK5: $i > $i > $i > $i > $i).
2.12/0.70	thf(func_def_47, type, sK6: $i > $i > $i > $i > mworld).
2.12/0.70	thf(func_def_48, type, sK7: $i > $i > $i > $i > $i).
2.12/0.70	thf(func_def_49, type, sK8: mworld > $i > $i > $i > $i).
2.12/0.70	thf(func_def_51, type, sK10: mworld > $i).
2.12/0.70	thf(f1516,plain,(
2.12/0.70	  $false),
2.12/0.70	  inference(avatar_sat_refutation,[],[f334,f364,f384,f1267,f1290,f1395,f1477,f1515])).
2.12/0.70	thf(f1515,plain,(
2.12/0.70	  ~spl1_10),
2.12/0.70	  inference(avatar_contradiction_clause,[],[f1514])).
2.12/0.70	thf(f1514,plain,(
2.12/0.70	  $false | ~spl1_10),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1509])).
2.12/0.70	thf(f1509,plain,(
2.12/0.70	  ($false = $true) | ~spl1_10),
2.12/0.70	  inference(superposition,[],[f77,f1493])).
2.12/0.70	thf(f1493,plain,(
2.12/0.70	  ((mrel @ sK2 @ sK2) = $false) | ~spl1_10),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1492])).
2.12/0.70	thf(f1492,plain,(
2.12/0.70	  ($false = $true) | ((mrel @ sK2 @ sK2) = $false) | ~spl1_10),
2.12/0.70	  inference(forward_demodulation,[],[f1491,f89])).
2.12/0.70	thf(f89,plain,(
2.12/0.70	  ($true = (mrel @ mactual @ sK2))),
2.12/0.70	  inference(binary_proxy_clausification,[],[f87])).
2.12/0.70	thf(f87,plain,(
2.12/0.70	  (((mrel @ mactual @ sK2) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))) & (eiw_di @ Y3 @ sK2)))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2))))) = $false)),
2.12/0.70	  inference(beta_eta_normalization,[],[f86])).
2.12/0.70	thf(f86,plain,(
2.12/0.70	  ($false = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))))) & (eiw_di @ Y4 @ Y0)))) & (eiw_di @ Y3 @ Y0)))) & (eiw_di @ Y2 @ Y0)))) & (eiw_di @ Y1 @ Y0)))))) @ sK2))),
2.12/0.70	  inference(sigma_clausification,[],[f85])).
2.12/0.70	thf(f85,plain,(
2.12/0.70	  ($true != (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => ((userid @ u @ Y1 @ Y5) & ((entry_box @ Y2 @ Y5) & (number @ Y2 @ one @ Y5)))))) & (!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y4 @ Y3 @ Y6 @ Y5) => (in @ Y1 @ Y2 @ Y6 @ Y5))))))))) & (eiw_di @ Y4 @ Y0)))) & (eiw_di @ Y3 @ Y0)))) & (eiw_di @ Y2 @ Y0)))) & (eiw_di @ Y1 @ Y0))))))))),
2.12/0.70	  inference(beta_eta_normalization,[],[f82])).
2.12/0.70	thf(f82,plain,(
2.12/0.70	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((Y1 @ Y3 @ Y2) & (eiw_di @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((Y2 @ Y4 @ Y3) & (eiw_di @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (userid @ u @ Y0) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld]: ((Y4 @ Y6) & (Y5 @ Y6))))))) @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))) != $true)),
2.12/0.70	  inference(definition_unfolding,[],[f67,f69,f66,f75,f75,f75,f75,f68,f66,f68,f68,f66,f76,f70])).
2.12/0.70	thf(f70,plain,(
2.12/0.70	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f48])).
2.12/0.70	thf(f48,plain,(
2.12/0.70	  (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
2.12/0.70	  inference(fool_elimination,[],[f47])).
2.12/0.70	thf(f47,plain,(
2.12/0.70	  (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
2.12/0.70	  inference(rectify,[],[f5])).
2.12/0.70	thf(f5,axiom,(
2.12/0.70	  (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mimplies_def)).
2.12/0.70	thf(f76,plain,(
2.12/0.70	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f50])).
2.12/0.70	thf(f50,plain,(
2.12/0.70	  (mforall_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))))),
2.12/0.70	  inference(fool_elimination,[],[f49])).
2.12/0.70	thf(f49,plain,(
2.12/0.70	  (mforall_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (! [X2] : ((eiw_di @ X2 @ X1) => (X0 @ X2 @ X1)))))),
2.12/0.70	  inference(rectify,[],[f9])).
2.12/0.70	thf(f9,axiom,(
2.12/0.70	  (mforall_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (! [X5] : ((eiw_di @ X5 @ X2) => (X1 @ X5 @ X2)))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mforall_di_def)).
2.12/0.70	thf(f68,plain,(
2.12/0.70	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f28])).
2.12/0.70	thf(f28,plain,(
2.12/0.70	  (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
2.12/0.70	  inference(fool_elimination,[],[f27])).
2.12/0.70	thf(f27,plain,(
2.12/0.70	  (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
2.12/0.70	  inference(rectify,[],[f3])).
2.12/0.70	thf(f3,axiom,(
2.12/0.70	  (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mand_def)).
2.12/0.70	thf(f75,plain,(
2.12/0.70	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f36])).
2.12/0.70	thf(f36,plain,(
2.12/0.70	  (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
2.12/0.70	  inference(fool_elimination,[],[f35])).
2.12/0.70	thf(f35,plain,(
2.12/0.70	  ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
2.12/0.70	  inference(rectify,[],[f10])).
2.12/0.70	thf(f10,axiom,(
2.12/0.70	  ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mexists_di_def)).
2.12/0.70	thf(f66,plain,(
2.12/0.70	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f26])).
2.12/0.70	thf(f26,plain,(
2.12/0.70	  (mbox = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))))),
2.12/0.70	  inference(fool_elimination,[],[f25])).
2.12/0.70	thf(f25,plain,(
2.12/0.70	  (mbox = (^[X0 : mworld > $o, X1 : mworld] : (! [X2 : mworld] : ((mrel @ X1 @ X2) => (X0 @ X2)))))),
2.12/0.70	  inference(rectify,[],[f7])).
2.12/0.70	thf(f7,axiom,(
2.12/0.70	  (mbox = (^[X0 : mworld > $o, X2 : mworld] : (! [X4 : mworld] : ((mrel @ X2 @ X4) => (X0 @ X4)))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mbox_def)).
2.12/0.70	thf(f69,plain,(
2.12/0.70	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
2.12/0.70	  inference(cnf_transformation,[],[f53])).
2.12/0.70	thf(f53,plain,(
2.12/0.70	  (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
2.12/0.70	  inference(fool_elimination,[],[f1])).
2.12/0.70	thf(f1,axiom,(
2.12/0.70	  ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mlocal_def)).
2.12/0.70	thf(f67,plain,(
2.12/0.70	  ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
2.12/0.70	  inference(cnf_transformation,[],[f56])).
2.12/0.70	thf(f56,plain,(
2.12/0.70	  ($true != (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
2.12/0.70	  inference(flattening,[],[f30])).
2.12/0.70	thf(f30,plain,(
2.12/0.70	  ~($true = (mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mand @ (mbox @ (mand @ (userid @ u @ Y0) @ (mand @ (entry_box @ Y1) @ (number @ Y1 @ one)))) @ (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y3 @ Y2 @ Y4) @ (in @ Y0 @ Y1 @ Y4)))))))))))))))))),
2.12/0.70	  inference(fool_elimination,[],[f29])).
2.12/0.70	thf(f29,plain,(
2.12/0.70	  ~(mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X0) @ (mand @ (entry_box @ X1) @ (number @ X1 @ one)))) @ (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X3 @ X2 @ X4) @ (in @ X0 @ X1 @ X4))))))))))))))))),
2.12/0.70	  inference(rectify,[],[f14])).
2.12/0.70	thf(f14,negated_conjecture,(
2.12/0.70	  ~(mlocal @ (mbox @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X7 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X6) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X7 @ X1 @ X8) @ (in @ X6 @ X3 @ X8))))))))))))))))),
2.12/0.70	  inference(negated_conjecture,[],[f13])).
2.12/0.70	thf(f13,conjecture,(
2.12/0.70	  (mlocal @ (mbox @ (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X7 : $i] : (mand @ (mbox @ (mand @ (userid @ u @ X6) @ (mand @ (entry_box @ X3) @ (number @ X3 @ one)))) @ (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X7 @ X1 @ X8) @ (in @ X6 @ X3 @ X8))))))))))))))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',con)).
2.12/0.70	thf(f1491,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ((mrel @ sK2 @ sK2) = $false) | ~spl1_10),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1489])).
2.12/0.70	thf(f1489,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ($false = $true) | ((mrel @ sK2 @ sK2) = $false) | ~spl1_10),
2.12/0.70	  inference(superposition,[],[f176,f1386])).
2.12/0.70	thf(f1386,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ~spl1_10),
2.12/0.70	  inference(avatar_component_clause,[],[f1384])).
2.12/0.70	thf(f1384,plain,(
2.12/0.70	  spl1_10 <=> ($false = (string @ (sK10 @ sK2) @ sK2))),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
2.12/0.70	thf(f176,plain,(
2.12/0.70	  ( ! [X2 : mworld,X1 : mworld] : (($true = (string @ (sK10 @ X1) @ X2)) | ($false = (mrel @ mactual @ X1)) | ((mrel @ X1 @ X2) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f175])).
2.12/0.70	thf(f175,plain,(
2.12/0.70	  ( ! [X2 : mworld,X1 : mworld] : ((((userid @ u @ (sK10 @ X1) @ X2) & (string @ (sK10 @ X1) @ X2)) = $true) | ($false = (mrel @ mactual @ X1)) | ((mrel @ X1 @ X2) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f174])).
2.12/0.70	thf(f174,plain,(
2.12/0.70	  ( ! [X2 : mworld,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | (((mrel @ X1 @ X2) => ((userid @ u @ (sK10 @ X1) @ X2) & (string @ (sK10 @ X1) @ X2))) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f173])).
2.12/0.70	thf(f173,plain,(
2.12/0.70	  ( ! [X2 : mworld,X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK10 @ X1) @ Y0) & (string @ (sK10 @ X1) @ Y0)))) @ X2) = $true) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f172])).
2.12/0.70	thf(f172,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK10 @ X1) @ Y0) & (string @ (sK10 @ X1) @ Y0))))))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f170])).
2.12/0.70	thf(f170,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => ((userid @ u @ (sK10 @ X1) @ Y0) & (string @ (sK10 @ X1) @ Y0))))) & (eiw_di @ (sK10 @ X1) @ X1)) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f169])).
2.12/0.70	thf(f169,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))) @ (sK10 @ X1)))) )),
2.12/0.70	  inference(sigma_clausification,[],[f168])).
2.12/0.70	thf(f168,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ((?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1)))) = $true)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f167])).
2.12/0.70	thf(f167,plain,(
2.12/0.70	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => ((userid @ u @ Y0 @ Y1) & (string @ Y0 @ Y1))))) & (eiw_di @ Y0 @ X1))))) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f166])).
2.12/0.70	thf(f166,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0)))))) @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f165])).
2.12/0.70	thf(f165,plain,(
2.12/0.70	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y0 @ Y2) => ((userid @ u @ Y1 @ Y2) & (string @ Y1 @ Y2))))) & (eiw_di @ Y1 @ Y0))))))) = $true)),
2.12/0.70	  inference(beta_eta_normalization,[],[f81])).
2.12/0.70	thf(f81,plain,(
2.12/0.70	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
2.12/0.70	  inference(definition_unfolding,[],[f63,f69,f66,f75,f66,f68])).
2.12/0.70	thf(f63,plain,(
2.12/0.70	  ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
2.12/0.70	  inference(cnf_transformation,[],[f24])).
2.12/0.70	thf(f24,plain,(
2.12/0.70	  ((mlocal @ (mbox @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (userid @ u @ Y0) @ (string @ Y0))))))) = $true)),
2.12/0.70	  inference(fool_elimination,[],[f23])).
2.12/0.70	thf(f23,plain,(
2.12/0.70	  (mlocal @ (mbox @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (userid @ u @ X0) @ (string @ X0)))))))),
2.12/0.70	  inference(rectify,[],[f12])).
2.12/0.70	thf(f12,axiom,(
2.12/0.70	  (mlocal @ (mbox @ (mexists_di @ (^[X6 : $i] : (mbox @ (mand @ (userid @ u @ X6) @ (string @ X6)))))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',ax1)).
2.12/0.70	thf(f77,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (((mrel @ X0 @ X0) = $true)) )),
2.12/0.70	  inference(cnf_transformation,[],[f22])).
2.12/0.70	thf(f22,plain,(
2.12/0.70	  ! [X0 : mworld] : ((mrel @ X0 @ X0) = $true)),
2.12/0.70	  inference(fool_elimination,[],[f21])).
2.12/0.70	thf(f21,plain,(
2.12/0.70	  ! [X0 : mworld] : (mrel @ X0 @ X0)),
2.12/0.70	  inference(rectify,[],[f11])).
2.12/0.70	thf(f11,axiom,(
2.12/0.70	  ! [X2 : mworld] : (mrel @ X2 @ X2)),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mrel_reflexive)).
2.12/0.70	thf(f1477,plain,(
2.12/0.70	  spl1_10 | ~spl1_2 | spl1_7 | ~spl1_9),
2.12/0.70	  inference(avatar_split_clause,[],[f1476,f1380,f1258,f325,f1384])).
2.12/0.70	thf(f325,plain,(
2.12/0.70	  spl1_2 <=> ! [X0,X1] : (((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)))),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
2.12/0.70	thf(f1258,plain,(
2.12/0.70	  spl1_7 <=> ((entry_box @ sK9 @ sK2) = $false)),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
2.12/0.70	thf(f1380,plain,(
2.12/0.70	  spl1_9 <=> ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false)),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
2.12/0.70	thf(f1476,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_9)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1475])).
2.12/0.70	thf(f1475,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = $true) | (~spl1_2 | spl1_7 | ~spl1_9)),
2.12/0.70	  inference(forward_demodulation,[],[f1474,f230])).
2.12/0.70	thf(f230,plain,(
2.12/0.70	  ($true = (eiw_di @ (sK10 @ sK2) @ sK2))),
2.12/0.70	  inference(trivial_inequality_removal,[],[f224])).
2.12/0.70	thf(f224,plain,(
2.12/0.70	  ($true != $true) | ($true = (eiw_di @ (sK10 @ sK2) @ sK2))),
2.12/0.70	  inference(superposition,[],[f207,f215])).
2.12/0.70	thf(f215,plain,(
2.12/0.70	  ((eiw_di @ (sK10 @ sK2) @ mactual) = $true)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f214])).
2.12/0.70	thf(f214,plain,(
2.12/0.70	  ($false = $true) | ((eiw_di @ (sK10 @ sK2) @ mactual) = $true)),
2.12/0.70	  inference(forward_demodulation,[],[f213,f89])).
2.12/0.70	thf(f213,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ (sK10 @ sK2) @ mactual) = $true)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f208])).
2.12/0.70	thf(f208,plain,(
2.12/0.70	  ((eiw_di @ (sK10 @ sK2) @ mactual) = $true) | ($true != $true) | ($false = (mrel @ mactual @ sK2))),
2.12/0.70	  inference(superposition,[],[f204,f171])).
2.12/0.70	thf(f171,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($true = (eiw_di @ (sK10 @ X1) @ X1)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f170])).
2.12/0.70	thf(f204,plain,(
2.12/0.70	  ( ! [X0 : $i] : (($true != (eiw_di @ X0 @ sK2)) | ($true = (eiw_di @ X0 @ mactual))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f199])).
2.12/0.70	thf(f199,plain,(
2.12/0.70	  ( ! [X0 : $i] : (($true != $true) | ($true != (eiw_di @ X0 @ sK2)) | ($true = (eiw_di @ X0 @ mactual))) )),
2.12/0.70	  inference(superposition,[],[f73,f89])).
2.12/0.70	thf(f73,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : mworld,X1 : mworld] : (($true != (mrel @ X1 @ X0)) | ($true != (eiw_di @ X2 @ X0)) | ($true = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(cnf_transformation,[],[f58])).
2.12/0.70	thf(f58,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2] : (($true != (eiw_di @ X2 @ X0)) | ($true != (mrel @ X1 @ X0)) | ($true = (eiw_di @ X2 @ X1)))),
2.12/0.70	  inference(flattening,[],[f57])).
2.12/0.70	thf(f57,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2] : (($true = (eiw_di @ X2 @ X1)) | (($true != (mrel @ X1 @ X0)) | ($true != (eiw_di @ X2 @ X0))))),
2.12/0.70	  inference(ennf_transformation,[],[f34])).
2.12/0.70	thf(f34,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2] : ((($true = (mrel @ X1 @ X0)) & ($true = (eiw_di @ X2 @ X0))) => ($true = (eiw_di @ X2 @ X1)))),
2.12/0.70	  inference(fool_elimination,[],[f33])).
2.12/0.70	thf(f33,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2] : (((eiw_di @ X2 @ X0) & (mrel @ X1 @ X0)) => (eiw_di @ X2 @ X1))),
2.12/0.70	  inference(rectify,[],[f19])).
2.12/0.70	thf(f19,axiom,(
2.12/0.70	  ! [X2 : mworld,X4 : mworld,X5] : (((eiw_di @ X5 @ X2) & (mrel @ X4 @ X2)) => (eiw_di @ X5 @ X4))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',eiw_di_decr)).
2.12/0.70	thf(f207,plain,(
2.12/0.70	  ( ! [X0 : $i] : (($true != (eiw_di @ X0 @ mactual)) | ($true = (eiw_di @ X0 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f201])).
2.12/0.70	thf(f201,plain,(
2.12/0.70	  ( ! [X0 : $i] : (($true = (eiw_di @ X0 @ sK2)) | ($true != $true) | ($true != (eiw_di @ X0 @ mactual))) )),
2.12/0.70	  inference(superposition,[],[f73,f183])).
2.12/0.70	thf(f183,plain,(
2.12/0.70	  ($true = (mrel @ sK2 @ mactual))),
2.12/0.70	  inference(trivial_inequality_removal,[],[f182])).
2.12/0.70	thf(f182,plain,(
2.12/0.70	  ($true = (mrel @ sK2 @ mactual)) | ($true != $true)),
2.12/0.70	  inference(superposition,[],[f180,f77])).
2.12/0.70	thf(f180,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($true != (mrel @ mactual @ X0)) | ((mrel @ sK2 @ X0) = $true)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f178])).
2.12/0.70	thf(f178,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (((mrel @ sK2 @ X0) = $true) | ($true != $true) | ($true != (mrel @ mactual @ X0))) )),
2.12/0.70	  inference(superposition,[],[f64,f89])).
2.12/0.70	thf(f64,plain,(
2.12/0.70	  ( ! [X2 : mworld,X0 : mworld,X1 : mworld] : (($true != (mrel @ X2 @ X0)) | ($true = (mrel @ X0 @ X1)) | ((mrel @ X2 @ X1) != $true)) )),
2.12/0.70	  inference(cnf_transformation,[],[f60])).
2.12/0.70	thf(f60,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (($true = (mrel @ X0 @ X1)) | ((mrel @ X2 @ X1) != $true) | ($true != (mrel @ X2 @ X0)))),
2.12/0.70	  inference(flattening,[],[f59])).
2.12/0.70	thf(f59,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (($true = (mrel @ X0 @ X1)) | (((mrel @ X2 @ X1) != $true) | ($true != (mrel @ X2 @ X0))))),
2.12/0.70	  inference(ennf_transformation,[],[f55])).
2.12/0.70	thf(f55,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : ((((mrel @ X2 @ X1) = $true) & ($true = (mrel @ X2 @ X0))) => ($true = (mrel @ X0 @ X1)))),
2.12/0.70	  inference(fool_elimination,[],[f54])).
2.12/0.70	thf(f54,plain,(
2.12/0.70	  ! [X0 : mworld,X1 : mworld,X2 : mworld] : (((mrel @ X2 @ X1) & (mrel @ X2 @ X0)) => (mrel @ X0 @ X1))),
2.12/0.70	  inference(rectify,[],[f18])).
2.12/0.70	thf(f18,axiom,(
2.12/0.70	  ! [X9 : mworld,X4 : mworld,X2 : mworld] : (((mrel @ X2 @ X4) & (mrel @ X2 @ X9)) => (mrel @ X9 @ X4))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',mrel_euclidean)).
2.12/0.70	thf(f1474,plain,(
2.12/0.70	  ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_9)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1473])).
2.12/0.70	thf(f1473,plain,(
2.12/0.70	  ($false = $true) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_9)),
2.12/0.70	  inference(forward_demodulation,[],[f1472,f232])).
2.12/0.70	thf(f232,plain,(
2.12/0.70	  ((eiw_di @ sK9 @ sK2) = $true)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f222])).
2.12/0.70	thf(f222,plain,(
2.12/0.70	  ((eiw_di @ sK9 @ sK2) = $true) | ($true != $true)),
2.12/0.70	  inference(superposition,[],[f207,f158])).
2.12/0.70	thf(f158,plain,(
2.12/0.70	  ((eiw_di @ sK9 @ mactual) = $true)),
2.12/0.70	  inference(binary_proxy_clausification,[],[f157])).
2.12/0.70	thf(f157,plain,(
2.12/0.70	  ($true = ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK9 @ Y0) & (number @ sK9 @ one @ Y0))))) & (eiw_di @ sK9 @ mactual)))),
2.12/0.70	  inference(beta_eta_normalization,[],[f156])).
2.12/0.70	thf(f156,plain,(
2.12/0.70	  ($true = ((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1))))) & (eiw_di @ Y0 @ mactual))) @ sK9))),
2.12/0.70	  inference(sigma_clausification,[],[f155])).
2.12/0.70	thf(f155,plain,(
2.12/0.70	  ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ mactual @ Y1) => ((entry_box @ Y0 @ Y1) & (number @ Y0 @ one @ Y1))))) & (eiw_di @ Y0 @ mactual)))))),
2.12/0.70	  inference(beta_eta_normalization,[],[f84])).
2.12/0.70	thf(f84,plain,(
2.12/0.70	  ($true = ((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ Y2 @ Y3) => (Y1 @ Y3))))))) @ ((^[Y1 : mworld > $o]: ((^[Y2 : mworld > $o]: ((^[Y3 : mworld]: ((Y1 @ Y3) & (Y2 @ Y3))))))) @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
2.12/0.70	  inference(definition_unfolding,[],[f80,f69,f75,f66,f68])).
2.12/0.70	thf(f80,plain,(
2.12/0.70	  ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
2.12/0.70	  inference(cnf_transformation,[],[f32])).
2.12/0.70	thf(f32,plain,(
2.12/0.70	  ($true = (mlocal @ (mexists_di @ (^[Y0 : $i]: (mbox @ (mand @ (entry_box @ Y0) @ (number @ Y0 @ one)))))))),
2.12/0.70	  inference(fool_elimination,[],[f31])).
2.12/0.70	thf(f31,plain,(
2.12/0.70	  (mlocal @ (mexists_di @ (^[X0 : $i] : (mbox @ (mand @ (entry_box @ X0) @ (number @ X0 @ one))))))),
2.12/0.70	  inference(rectify,[],[f15])).
2.12/0.70	thf(f15,axiom,(
2.12/0.70	  (mlocal @ (mexists_di @ (^[X3 : $i] : (mbox @ (mand @ (entry_box @ X3) @ (number @ X3 @ one))))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',ax2)).
2.12/0.70	thf(f1472,plain,(
2.12/0.70	  ((eiw_di @ sK9 @ sK2) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_9)),
2.12/0.70	  inference(subsumption_resolution,[],[f1464,f1259])).
2.12/0.70	thf(f1259,plain,(
2.12/0.70	  ((entry_box @ sK9 @ sK2) != $false) | spl1_7),
2.12/0.70	  inference(avatar_component_clause,[],[f1258])).
2.12/0.70	thf(f1464,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ((eiw_di @ sK9 @ sK2) = $false) | ((entry_box @ sK9 @ sK2) = $false) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | ~spl1_9)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1457])).
2.12/0.70	thf(f1457,plain,(
2.12/0.70	  ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ sK2) = $false) | ($false = $true) | (~spl1_2 | ~spl1_9)),
2.12/0.70	  inference(superposition,[],[f1436,f338])).
2.12/0.70	thf(f338,plain,(
2.12/0.70	  ( ! [X0 : $i,X1 : $i] : (($true = (mrel @ mactual @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) ) | ~spl1_2),
2.12/0.70	  inference(trivial_inequality_removal,[],[f335])).
2.12/0.70	thf(f335,plain,(
2.12/0.70	  ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($true = (mrel @ mactual @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($true != $true) | ($false = (string @ X0 @ sK2))) ) | ~spl1_2),
2.12/0.70	  inference(superposition,[],[f186,f326])).
2.12/0.70	thf(f326,plain,(
2.12/0.70	  ( ! [X0 : $i,X1 : $i] : (((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (string @ X0 @ sK2))) ) | ~spl1_2),
2.12/0.70	  inference(avatar_component_clause,[],[f325])).
2.12/0.70	thf(f186,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (((mrel @ sK2 @ X0) != $true) | ($true = (mrel @ mactual @ X0))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f185])).
2.12/0.70	thf(f185,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($true != $true) | ($true = (mrel @ mactual @ X0)) | ((mrel @ sK2 @ X0) != $true)) )),
2.12/0.70	  inference(superposition,[],[f64,f183])).
2.12/0.70	thf(f1436,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ (sK3 @ (sK10 @ sK2) @ sK9))) | ~spl1_9),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1433])).
2.12/0.70	thf(f1433,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ (sK3 @ (sK10 @ sK2) @ sK9))) | ($false = $true) | ~spl1_9),
2.12/0.70	  inference(superposition,[],[f1382,f164])).
2.12/0.70	thf(f164,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($true = (entry_box @ sK9 @ X1)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f162])).
2.12/0.70	thf(f162,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((entry_box @ sK9 @ X1) & (number @ sK9 @ one @ X1)))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f161])).
2.12/0.70	thf(f161,plain,(
2.12/0.70	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => ((entry_box @ sK9 @ X1) & (number @ sK9 @ one @ X1))) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f160])).
2.12/0.70	thf(f160,plain,(
2.12/0.70	  ( ! [X1 : mworld] : ((((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK9 @ Y0) & (number @ sK9 @ one @ Y0)))) @ X1) = $true)) )),
2.12/0.70	  inference(pi_clausification,[],[f159])).
2.12/0.70	thf(f159,plain,(
2.12/0.70	  ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => ((entry_box @ sK9 @ Y0) & (number @ sK9 @ one @ Y0))))))),
2.12/0.70	  inference(binary_proxy_clausification,[],[f157])).
2.12/0.70	thf(f1382,plain,(
2.12/0.70	  ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ~spl1_9),
2.12/0.70	  inference(avatar_component_clause,[],[f1380])).
2.12/0.70	thf(f1395,plain,(
2.12/0.70	  spl1_9 | spl1_10 | ~spl1_2 | spl1_7 | ~spl1_8),
2.12/0.70	  inference(avatar_split_clause,[],[f1394,f1262,f1258,f325,f1384,f1380])).
2.12/0.70	thf(f1262,plain,(
2.12/0.70	  spl1_8 <=> ! [X0 : mworld] : (($false = (mrel @ mactual @ X0)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))))),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_8])])).
2.12/0.70	thf(f1394,plain,(
2.12/0.70	  ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1393])).
2.12/0.70	thf(f1393,plain,(
2.12/0.70	  ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = $true) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(forward_demodulation,[],[f1392,f89])).
2.12/0.70	thf(f1392,plain,(
2.12/0.70	  ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = (mrel @ mactual @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1391])).
2.12/0.70	thf(f1391,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = $true) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(forward_demodulation,[],[f1390,f232])).
2.12/0.70	thf(f1390,plain,(
2.12/0.70	  ((eiw_di @ sK9 @ sK2) = $false) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (mrel @ mactual @ sK2)) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1389])).
2.12/0.70	thf(f1389,plain,(
2.12/0.70	  ($false = $true) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (mrel @ mactual @ sK2)) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(forward_demodulation,[],[f1388,f230])).
2.12/0.70	thf(f1388,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ sK9 @ sK2) = $false) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(subsumption_resolution,[],[f1369,f1259])).
2.12/0.70	thf(f1369,plain,(
2.12/0.70	  ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ sK9 @ sK2) = $false) | ((entry_box @ sK9 @ sK2) = $false) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1368])).
2.12/0.70	thf(f1368,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (mrel @ mactual @ sK2)) | ($false = $true) | ((entry_box @ sK9 @ sK2) = $false) | ((eiw_di @ sK9 @ sK2) = $false) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(duplicate_literal_removal,[],[f1337])).
2.12/0.70	thf(f1337,plain,(
2.12/0.70	  ($false = (string @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ (sK3 @ (sK10 @ sK2) @ sK9)) = $false) | ($false = (string @ (sK10 @ sK2) @ sK2)) | ($false = $true) | ($false = (mrel @ mactual @ sK2)) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (eiw_di @ (sK10 @ sK2) @ sK2)) | ((entry_box @ sK9 @ sK2) = $false) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(superposition,[],[f1328,f326])).
2.12/0.70	thf(f1328,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ X0)) | ((string @ (sK10 @ X0) @ sK2) = $false)) ) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1327])).
2.12/0.70	thf(f1327,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = $true) | ($false = (mrel @ mactual @ X0)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (eiw_di @ (sK10 @ X0) @ sK2))) ) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(forward_demodulation,[],[f1326,f232])).
2.12/0.70	thf(f1326,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ mactual @ X0)) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((string @ (sK10 @ X0) @ sK2) = $false) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9)))) ) | (~spl1_2 | spl1_7 | ~spl1_8)),
2.12/0.70	  inference(subsumption_resolution,[],[f1325,f1259])).
2.12/0.70	thf(f1325,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (((eiw_di @ sK9 @ sK2) = $false) | ($false = (mrel @ mactual @ X0)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((entry_box @ sK9 @ sK2) = $false) | ((string @ (sK10 @ X0) @ sK2) = $false)) ) | (~spl1_2 | ~spl1_8)),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1324])).
2.12/0.70	thf(f1324,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ X0)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((entry_box @ sK9 @ sK2) = $false) | ((eiw_di @ sK9 @ sK2) = $false) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = $true) | ($false = (eiw_di @ (sK10 @ X0) @ sK2))) ) | (~spl1_2 | ~spl1_8)),
2.12/0.70	  inference(duplicate_literal_removal,[],[f1314])).
2.12/0.70	thf(f1314,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = $true) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((entry_box @ sK9 @ sK2) = $false) | ((eiw_di @ sK9 @ sK2) = $false) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (mrel @ mactual @ X0)) | ($false = (eiw_di @ (sK10 @ X0) @ sK2))) ) | (~spl1_2 | ~spl1_8)),
2.12/0.70	  inference(superposition,[],[f338,f1263])).
2.12/0.70	thf(f1263,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ X0)) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2))) ) | ~spl1_8),
2.12/0.70	  inference(avatar_component_clause,[],[f1262])).
2.12/0.70	thf(f1290,plain,(
2.12/0.70	  ~spl1_7),
2.12/0.70	  inference(avatar_contradiction_clause,[],[f1289])).
2.12/0.70	thf(f1289,plain,(
2.12/0.70	  $false | ~spl1_7),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1288])).
2.12/0.70	thf(f1288,plain,(
2.12/0.70	  ($false = $true) | ~spl1_7),
2.12/0.70	  inference(backward_demodulation,[],[f89,f1287])).
2.12/0.70	thf(f1287,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ~spl1_7),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1284])).
2.12/0.70	thf(f1284,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ sK2)) | ($false = $true) | ~spl1_7),
2.12/0.70	  inference(superposition,[],[f1260,f164])).
2.12/0.70	thf(f1260,plain,(
2.12/0.70	  ((entry_box @ sK9 @ sK2) = $false) | ~spl1_7),
2.12/0.70	  inference(avatar_component_clause,[],[f1258])).
2.12/0.70	thf(f1267,plain,(
2.12/0.70	  spl1_8 | spl1_7 | ~spl1_3),
2.12/0.70	  inference(avatar_split_clause,[],[f1266,f355,f1258,f1262])).
2.12/0.70	thf(f355,plain,(
2.12/0.70	  spl1_3 <=> ! [X0,X1] : (($false = (entry_box @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))))),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
2.12/0.70	thf(f1266,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ X0)) | ((entry_box @ sK9 @ sK2) = $false) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ((string @ (sK10 @ X0) @ sK2) = $false)) ) | ~spl1_3),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1265])).
2.12/0.70	thf(f1265,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ X0)) | ((entry_box @ sK9 @ sK2) = $false) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = $true)) ) | ~spl1_3),
2.12/0.70	  inference(forward_demodulation,[],[f1253,f232])).
2.12/0.70	thf(f1253,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ((string @ (sK10 @ X0) @ sK2) = $false) | ($false = (mrel @ mactual @ X0)) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ((entry_box @ sK9 @ sK2) = $false)) ) | ~spl1_3),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1251])).
2.12/0.70	thf(f1251,plain,(
2.12/0.70	  ( ! [X0 : mworld] : (($false = (mrel @ mactual @ X0)) | ((entry_box @ sK9 @ sK2) = $false) | ((eiw_di @ sK9 @ sK2) = $false) | ($false = (mrel @ mactual @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (mrel @ X0 @ (sK3 @ (sK10 @ X0) @ sK9))) | ($false = $true) | ($false = (entry_box @ sK9 @ (sK3 @ (sK10 @ X0) @ sK9))) | ((string @ (sK10 @ X0) @ sK2) = $false)) ) | ~spl1_3),
2.12/0.70	  inference(superposition,[],[f1112,f163])).
2.12/0.70	thf(f163,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($true = (number @ sK9 @ one @ X1)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f162])).
2.12/0.70	thf(f1112,plain,(
2.12/0.70	  ( ! [X0 : mworld,X1 : $i] : (($false = (number @ X1 @ one @ (sK3 @ (sK10 @ X0) @ X1))) | ($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = (mrel @ mactual @ X0)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ((string @ (sK10 @ X0) @ sK2) = $false) | ((mrel @ X0 @ (sK3 @ (sK10 @ X0) @ X1)) = $false) | ($false = (entry_box @ X1 @ (sK3 @ (sK10 @ X0) @ X1)))) ) | ~spl1_3),
2.12/0.70	  inference(trivial_inequality_removal,[],[f1109])).
2.12/0.70	thf(f1109,plain,(
2.12/0.70	  ( ! [X0 : mworld,X1 : $i] : (($false = (eiw_di @ (sK10 @ X0) @ sK2)) | ($false = $true) | ($false = (number @ X1 @ one @ (sK3 @ (sK10 @ X0) @ X1))) | ($false = (entry_box @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ (sK10 @ X0) @ X1))) | ((mrel @ X0 @ (sK3 @ (sK10 @ X0) @ X1)) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (mrel @ mactual @ X0)) | ((string @ (sK10 @ X0) @ sK2) = $false)) ) | ~spl1_3),
2.12/0.70	  inference(superposition,[],[f356,f177])).
2.12/0.70	thf(f177,plain,(
2.12/0.70	  ( ! [X2 : mworld,X1 : mworld] : (($true = (userid @ u @ (sK10 @ X1) @ X2)) | ((mrel @ X1 @ X2) = $false) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f175])).
2.12/0.70	thf(f356,plain,(
2.12/0.70	  ( ! [X0 : $i,X1 : $i] : (($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2))) ) | ~spl1_3),
2.12/0.70	  inference(avatar_component_clause,[],[f355])).
2.12/0.70	thf(f384,plain,(
2.12/0.70	  ~spl1_1),
2.12/0.70	  inference(avatar_contradiction_clause,[],[f383])).
2.12/0.70	thf(f383,plain,(
2.12/0.70	  $false | ~spl1_1),
2.12/0.70	  inference(trivial_inequality_removal,[],[f371])).
2.12/0.70	thf(f371,plain,(
2.12/0.70	  ($false = $true) | ~spl1_1),
2.12/0.70	  inference(backward_demodulation,[],[f237,f323])).
2.12/0.70	thf(f323,plain,(
2.12/0.70	  ( ! [X2 : $i] : (((eiw_di @ X2 @ sK2) = $false)) ) | ~spl1_1),
2.12/0.70	  inference(avatar_component_clause,[],[f322])).
2.12/0.70	thf(f322,plain,(
2.12/0.70	  spl1_1 <=> ! [X2] : ((eiw_di @ X2 @ sK2) = $false)),
2.12/0.70	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
2.12/0.70	thf(f237,plain,(
2.12/0.70	  ($true = (eiw_di @ (sK10 @ mactual) @ sK2))),
2.12/0.70	  inference(trivial_inequality_removal,[],[f236])).
2.12/0.70	thf(f236,plain,(
2.12/0.70	  ($false = $true) | ($true = (eiw_di @ (sK10 @ mactual) @ sK2))),
2.12/0.70	  inference(forward_demodulation,[],[f228,f77])).
2.12/0.70	thf(f228,plain,(
2.12/0.70	  ($true = (eiw_di @ (sK10 @ mactual) @ sK2)) | ($false = (mrel @ mactual @ mactual))),
2.12/0.70	  inference(trivial_inequality_removal,[],[f225])).
2.12/0.70	thf(f225,plain,(
2.12/0.70	  ($false = (mrel @ mactual @ mactual)) | ($true != $true) | ($true = (eiw_di @ (sK10 @ mactual) @ sK2))),
2.12/0.70	  inference(superposition,[],[f207,f171])).
2.12/0.70	thf(f364,plain,(
2.12/0.70	  spl1_1 | spl1_3),
2.12/0.70	  inference(avatar_split_clause,[],[f363,f355,f322])).
2.12/0.70	thf(f363,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f362])).
2.12/0.70	thf(f362,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (string @ X0 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = $true) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(forward_demodulation,[],[f347,f89])).
2.12/0.70	thf(f347,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f346])).
2.12/0.70	thf(f346,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (mrel @ mactual @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f344])).
2.12/0.70	thf(f344,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (mrel @ mactual @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(superposition,[],[f146,f305])).
2.12/0.70	thf(f305,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f304])).
2.12/0.70	thf(f304,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (entry_box @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(forward_demodulation,[],[f303,f89])).
2.12/0.70	thf(f303,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1)))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f302])).
2.12/0.70	thf(f302,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (entry_box @ X1 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (string @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (mrel @ mactual @ sK2)) | ($false = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f297])).
2.12/0.70	thf(f297,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (entry_box @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = $true) | ($false = (eiw_di @ X0 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(superposition,[],[f122,f275])).
2.12/0.70	thf(f275,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((mrel @ X1 @ (sK6 @ X0 @ (sK8 @ X1 @ X0 @ X2 @ X3) @ X3 @ X2)) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X2))) | ($false = (eiw_di @ X3 @ X1)) | ($false = (mrel @ mactual @ X1)) | ((entry_box @ X2 @ (sK3 @ X0 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (string @ X0 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (entry_box @ X2 @ X1)) | ((eiw_di @ (sK8 @ X1 @ X0 @ X2 @ X3) @ sK2) = $false) | ((number @ X2 @ one @ (sK3 @ X0 @ X2)) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ X1))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f274])).
2.12/0.70	thf(f274,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($false = (string @ X0 @ X1)) | ($false = (entry_box @ X2 @ X1)) | ($false = (eiw_di @ X0 @ X1)) | ((eiw_di @ (sK8 @ X1 @ X0 @ X2 @ X3) @ sK2) = $false) | ((entry_box @ X2 @ (sK3 @ X0 @ X2)) = $false) | ((mrel @ X1 @ (sK6 @ X0 @ (sK8 @ X1 @ X0 @ X2 @ X3) @ X3 @ X2)) = $false) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = $true) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X2))) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X3 @ X1)) | ((number @ X2 @ one @ (sK3 @ X0 @ X2)) = $false)) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f270])).
2.12/0.70	thf(f270,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld] : (((mrel @ X1 @ (sK6 @ X0 @ (sK8 @ X1 @ X0 @ X2 @ X3) @ X3 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ((entry_box @ X2 @ (sK3 @ X0 @ X2)) = $false) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X2))) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (string @ X0 @ X1)) | ($false = (entry_box @ X2 @ X1)) | ((eiw_di @ (sK8 @ X1 @ X0 @ X2 @ X3) @ sK2) = $false) | ($false = (mrel @ mactual @ X1)) | ((number @ X2 @ one @ (sK3 @ X0 @ X2)) = $false) | ($false = (eiw_di @ X2 @ X1)) | ($false = (eiw_di @ X0 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X0 @ X2)) = $false) | ((eiw_di @ (sK8 @ X1 @ X0 @ X2 @ X3) @ sK2) = $false) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ((entry_box @ X2 @ (sK3 @ X0 @ X2)) = $false) | ($false = (eiw_di @ X0 @ X1)) | ($false = $true) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X2)))) )),
2.12/0.70	  inference(superposition,[],[f259,f126])).
2.12/0.70	thf(f126,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X4 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f124])).
2.12/0.70	thf(f124,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ($false = ((eiw_di @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)))))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f123])).
2.12/0.70	thf(f123,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2))))) @ (sK7 @ X1 @ X3 @ X4 @ X2))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false)) )),
2.12/0.70	  inference(sigma_clausification,[],[f121])).
2.12/0.70	thf(f121,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)))))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f120])).
2.12/0.70	thf(f120,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ($false = ((mrel @ sK2 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)))))))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X3 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f119])).
2.12/0.70	thf(f119,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ($false = ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = ((mrel @ sK2 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)))))))) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f118])).
2.12/0.70	thf(f118,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | (((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = ((mrel @ sK2 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK6 @ X1 @ X3 @ X4 @ X2))))))))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f117])).
2.12/0.70	thf(f117,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))) = $false) | ($false = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) @ (sK6 @ X1 @ X3 @ X4 @ X2))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2))) )),
2.12/0.70	  inference(sigma_clausification,[],[f105])).
2.12/0.70	thf(f105,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) | ($false = (eiw_di @ X1 @ sK2)) | (((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f104])).
2.12/0.70	thf(f104,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = ((mrel @ sK2 @ (sK3 @ X1 @ X2)) => ((userid @ u @ X1 @ (sK3 @ X1 @ X2)) & ((entry_box @ X2 @ (sK3 @ X1 @ X2)) & (number @ X2 @ one @ (sK3 @ X1 @ X2)))))) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X3 @ sK2))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f103])).
2.12/0.70	thf(f103,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = ((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0))))) @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0)))))))))) )),
2.12/0.70	  inference(sigma_clausification,[],[f102])).
2.12/0.70	thf(f102,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f101])).
2.12/0.70	thf(f101,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X4 @ sK2)) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f100])).
2.12/0.70	thf(f100,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X3 @ sK2)) | ((((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => ((userid @ u @ X1 @ Y0) & ((entry_box @ X2 @ Y0) & (number @ X2 @ one @ Y0)))))) & (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) & (eiw_di @ X4 @ sK2)) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f99])).
2.12/0.70	thf(f99,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))))) & (eiw_di @ Y0 @ sK2))) @ X4) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(pi_clausification,[],[f98])).
2.12/0.70	thf(f98,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))))) & (eiw_di @ Y0 @ sK2)))))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f97])).
2.12/0.70	thf(f97,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: (((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => ((userid @ u @ X1 @ Y1) & ((entry_box @ X2 @ Y1) & (number @ X2 @ one @ Y1)))))) & (!! @ mworld @ (^[Y1 : mworld]: ((mrel @ sK2 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ Y0 @ X3 @ Y2 @ Y1) => (in @ X1 @ X2 @ Y2 @ Y1))))))))) & (eiw_di @ Y0 @ sK2)))) & (eiw_di @ X3 @ sK2)))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f96])).
2.12/0.70	thf(f96,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2))) @ X3) = $false) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(pi_clausification,[],[f95])).
2.12/0.70	thf(f95,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2)))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f94])).
2.12/0.70	thf(f94,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => ((userid @ u @ X1 @ Y2) & ((entry_box @ X2 @ Y2) & (number @ X2 @ one @ Y2)))))) & (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ sK2 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ Y1 @ Y0 @ Y3 @ Y2) => (in @ X1 @ X2 @ Y3 @ Y2))))))))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2)))) & (eiw_di @ X2 @ sK2))) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f93])).
2.12/0.70	thf(f93,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2))) @ X2))) )),
2.12/0.70	  inference(pi_clausification,[],[f92])).
2.12/0.70	thf(f92,plain,(
2.12/0.70	  ( ! [X1 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2)))))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f91])).
2.12/0.70	thf(f91,plain,(
2.12/0.70	  ( ! [X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => ((userid @ u @ X1 @ Y3) & ((entry_box @ Y0 @ Y3) & (number @ Y0 @ one @ Y3)))))) & (!! @ mworld @ (^[Y3 : mworld]: ((mrel @ sK2 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ Y2 @ Y1 @ Y4 @ Y3) => (in @ X1 @ Y0 @ Y4 @ Y3))))))))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2)))) & (eiw_di @ X1 @ sK2)))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f90])).
2.12/0.70	thf(f90,plain,(
2.12/0.70	  ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))) & (eiw_di @ Y3 @ sK2)))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2))) @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f88])).
2.12/0.70	thf(f88,plain,(
2.12/0.70	  ($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => ((userid @ u @ Y0 @ Y4) & ((entry_box @ Y1 @ Y4) & (number @ Y1 @ one @ Y4)))))) & (!! @ mworld @ (^[Y4 : mworld]: ((mrel @ sK2 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y3 @ Y2 @ Y5 @ Y4) => (in @ Y0 @ Y1 @ Y5 @ Y4))))))))) & (eiw_di @ Y3 @ sK2)))) & (eiw_di @ Y2 @ sK2)))) & (eiw_di @ Y1 @ sK2)))) & (eiw_di @ Y0 @ sK2)))))),
2.12/0.70	  inference(binary_proxy_clausification,[],[f87])).
2.12/0.70	thf(f259,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK7 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1) @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1))) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (eiw_di @ X0 @ X2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X0 @ sK2)) | ((mrel @ X2 @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (string @ X0 @ X2)) | ($false = (eiw_di @ X1 @ X2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X3 @ X2)) | ((entry_box @ X1 @ X2) = $false) | ((mrel @ mactual @ X2) = $false)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f258])).
2.12/0.70	thf(f258,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ($false = $true) | ($false = (string @ X0 @ X2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X1 @ X2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (eiw_di @ X0 @ X2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ (sK7 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1) @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1))) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ X2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f254])).
2.12/0.70	thf(f254,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X3 @ sK2)) | ((mrel @ X2 @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1)) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X3 @ X2)) | ($false = $true) | ($false = (eiw_di @ (sK7 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1) @ (sK6 @ X0 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3 @ X1))) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ (sK3 @ X0 @ X1))) | ((mrel @ mactual @ X2) = $false) | ($false = (eiw_di @ X1 @ X2)) | ($false = (eiw_di @ X1 @ sK2)) | ((number @ X1 @ one @ (sK3 @ X0 @ X1)) = $false) | ($false = (string @ X0 @ X2)) | ($false = (userid @ u @ X0 @ (sK3 @ X0 @ X1))) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ X2)) | ((entry_box @ X1 @ X2) = $false)) )),
2.12/0.70	  inference(superposition,[],[f243,f127])).
2.12/0.70	thf(f127,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X1 @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X4 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f125])).
2.12/0.70	thf(f125,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = ((do @ X4 @ X3 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2))))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f124])).
2.12/0.70	thf(f243,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (((in @ X2 @ X3 @ (sK7 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $true) | ((eiw_di @ (sK7 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (string @ X2 @ X1)) | ($false = (mrel @ X1 @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5))) | ($false = (eiw_di @ X0 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (entry_box @ X3 @ X1)) | ($false = (number @ X5 @ one @ (sK3 @ X4 @ X5))) | ($false = (eiw_di @ X5 @ sK2)) | ($false = (userid @ u @ X4 @ (sK3 @ X4 @ X5))) | ((eiw_di @ (sK8 @ X1 @ X2 @ X3 @ X0) @ sK2) = $false) | ($false = (entry_box @ X5 @ (sK3 @ X4 @ X5))) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f240])).
2.12/0.70	thf(f240,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ X1)) | ($false = (number @ X5 @ one @ (sK3 @ X4 @ X5))) | ($false = (eiw_di @ X0 @ X1)) | ((eiw_di @ (sK8 @ X1 @ X2 @ X3 @ X0) @ sK2) = $false) | ($false = (entry_box @ X3 @ X1)) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X5 @ sK2)) | ($false = $true) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ (sK7 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $false) | ($false = (mrel @ X1 @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5))) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (mrel @ mactual @ X1)) | ($false = (string @ X2 @ X1)) | ($false = (userid @ u @ X4 @ (sK3 @ X4 @ X5))) | ((in @ X2 @ X3 @ (sK7 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5) @ (sK6 @ X4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0 @ X5)) = $true) | ($false = (entry_box @ X5 @ (sK3 @ X4 @ X5)))) )),
2.12/0.70	  inference(superposition,[],[f128,f154])).
2.12/0.70	thf(f154,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (($false = (do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5)) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X6 @ X5) = $false) | ($false = (string @ X3 @ X1)) | ($false = (entry_box @ X4 @ X1)) | ((mrel @ X1 @ X5) = $false) | ($true = (in @ X3 @ X4 @ X6 @ X5)) | ((eiw_di @ X4 @ X1) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f153])).
2.12/0.70	thf(f153,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X6 @ X5) = $false) | ((eiw_di @ X4 @ X1) = $false) | ($false = (mrel @ mactual @ X1)) | ((mrel @ X1 @ X5) = $false) | (((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)) = $true) | ($false = (string @ X3 @ X1)) | ($false = (entry_box @ X4 @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f152])).
2.12/0.70	thf(f152,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (((mrel @ X1 @ X5) = $false) | ($false = (eiw_di @ X3 @ X1)) | ($false = (string @ X3 @ X1)) | ($false = (mrel @ mactual @ X1)) | ($true = ((eiw_di @ X6 @ X5) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X6 @ X5) => (in @ X3 @ X4 @ X6 @ X5)))) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (entry_box @ X4 @ X1))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f151])).
2.12/0.70	thf(f151,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X6 : $i,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ($false = (entry_box @ X4 @ X1)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5)))) @ X6) = $true) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (string @ X3 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ((mrel @ X1 @ X5) = $false)) )),
2.12/0.70	  inference(pi_clausification,[],[f150])).
2.12/0.70	thf(f150,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))) = $true) | ($false = (eiw_di @ X3 @ X1)) | ((mrel @ X1 @ X5) = $false) | ((eiw_di @ X4 @ X1) = $false) | ($false = (entry_box @ X4 @ X1)) | ($false = (string @ X3 @ X1)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f149])).
2.12/0.70	thf(f149,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ($false = (string @ X3 @ X1)) | ($true = ((mrel @ X1 @ X5) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X5) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y0 @ X5) => (in @ X3 @ X4 @ Y0 @ X5))))))) | ($false = (mrel @ mactual @ X1)) | ($false = (entry_box @ X4 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f148])).
2.12/0.70	thf(f148,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i,X5 : mworld] : (($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (string @ X3 @ X1)) | (((^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))) @ X5) = $true) | ($false = (mrel @ mactual @ X1)) | ($false = (entry_box @ X4 @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f147])).
2.12/0.70	thf(f147,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (entry_box @ X4 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (string @ X3 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($true = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0))))))))) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f145])).
2.12/0.70	thf(f145,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($false = (string @ X3 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))))) & (eiw_di @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X1)) = $true) | ($false = (entry_box @ X4 @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f144])).
2.12/0.70	thf(f144,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (((eiw_di @ X4 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) = $false) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1)) | (((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ X1 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X2 @ (sK8 @ X1 @ X3 @ X4 @ X2) @ Y1 @ Y0) => (in @ X3 @ X4 @ Y1 @ Y0)))))))) & (eiw_di @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X1)) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f143])).
2.12/0.70	thf(f143,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (mrel @ mactual @ X1)) | (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) = $false) | (((^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1))) @ (sK8 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(sigma_clausification,[],[f142])).
2.12/0.70	thf(f142,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (mrel @ mactual @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($true = (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1))))) | (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f141])).
2.12/0.70	thf(f141,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (eiw_di @ X3 @ X1)) | ($true = (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1)))))) | ((eiw_di @ X4 @ X1) = $false) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f140])).
2.12/0.70	thf(f140,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1)) | (((eiw_di @ X4 @ X1) => (((string @ X3 @ X1) & (entry_box @ X4 @ X1)) => (?? @ $i @ (^[Y0 : $i]: ((!! @ mworld @ (^[Y1 : mworld]: ((mrel @ X1 @ Y1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => ((do @ X2 @ Y0 @ Y2 @ Y1) => (in @ X3 @ X4 @ Y2 @ Y1)))))))) & (eiw_di @ Y0 @ X1)))))) = $true) | ($false = (eiw_di @ X3 @ X1))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f139])).
2.12/0.70	thf(f139,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1))))))) @ X4) = $true) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (eiw_di @ X3 @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f138])).
2.12/0.70	thf(f138,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($true = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1))))))))) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f137])).
2.12/0.70	thf(f137,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((eiw_di @ X3 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (((string @ X3 @ X1) & (entry_box @ Y0 @ X1)) => (?? @ $i @ (^[Y1 : $i]: ((!! @ mworld @ (^[Y2 : mworld]: ((mrel @ X1 @ Y2) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => ((do @ X2 @ Y1 @ Y3 @ Y2) => (in @ X3 @ Y0 @ Y3 @ Y2)))))))) & (eiw_di @ Y1 @ X1)))))))))) | ($false = (eiw_di @ X2 @ X1))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f136])).
2.12/0.70	thf(f136,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld] : (($false = (eiw_di @ X2 @ X1)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1)))))))))) @ X3) = $true) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f135])).
2.12/0.70	thf(f135,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1))))))))))) = $true) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f134])).
2.12/0.70	thf(f134,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : mworld] : (($false = (mrel @ mactual @ X1)) | ($true = ((eiw_di @ X2 @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (((string @ Y0 @ X1) & (entry_box @ Y1 @ X1)) => (?? @ $i @ (^[Y2 : $i]: ((!! @ mworld @ (^[Y3 : mworld]: ((mrel @ X1 @ Y3) => (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => ((do @ X2 @ Y2 @ Y4 @ Y3) => (in @ Y0 @ Y1 @ Y4 @ Y3)))))))) & (eiw_di @ Y2 @ X1)))))))))))))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f133])).
2.12/0.70	thf(f133,plain,(
2.12/0.70	  ( ! [X2 : $i,X1 : mworld] : (($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1))))))))))))) @ X2)) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f132])).
2.12/0.70	thf(f132,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (((!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1)))))))))))))) = $true) | ($false = (mrel @ mactual @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f131])).
2.12/0.70	thf(f131,plain,(
2.12/0.70	  ( ! [X1 : mworld] : ((((mrel @ mactual @ X1) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ X1) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ X1) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ X1) => (((string @ Y1 @ X1) & (entry_box @ Y2 @ X1)) => (?? @ $i @ (^[Y3 : $i]: ((!! @ mworld @ (^[Y4 : mworld]: ((mrel @ X1 @ Y4) => (!! @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) => ((do @ Y0 @ Y3 @ Y5 @ Y4) => (in @ Y1 @ Y2 @ Y5 @ Y4)))))))) & (eiw_di @ Y3 @ X1))))))))))))))) = $true)) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f130])).
2.12/0.70	thf(f130,plain,(
2.12/0.70	  ( ! [X1 : mworld] : (($true = ((^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) => (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))) & (eiw_di @ Y4 @ Y0)))))))))))))))) @ X1))) )),
2.12/0.70	  inference(pi_clausification,[],[f129])).
2.12/0.70	thf(f129,plain,(
2.12/0.70	  ((!! @ mworld @ (^[Y0 : mworld]: ((mrel @ mactual @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y0) => (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y0) => (((string @ Y2 @ Y0) & (entry_box @ Y3 @ Y0)) => (?? @ $i @ (^[Y4 : $i]: ((!! @ mworld @ (^[Y5 : mworld]: ((mrel @ Y0 @ Y5) => (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => ((do @ Y1 @ Y4 @ Y6 @ Y5) => (in @ Y2 @ Y3 @ Y6 @ Y5)))))))) & (eiw_di @ Y4 @ Y0))))))))))))))))) = $true)),
2.12/0.70	  inference(beta_eta_normalization,[],[f83])).
2.12/0.70	thf(f83,plain,(
2.12/0.70	  (((^[Y0 : mworld > $o]: (Y0 @ mactual)) @ ((^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (!! @ mworld @ (^[Y2 : mworld]: ((mrel @ Y1 @ Y2) => (Y0 @ Y2))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (!! @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) => (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (!! @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) => (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (!! @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) => (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) => (Y4 @ Y5))))))) @ ((^[Y3 : mworld > $o]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: ((Y3 @ Y5) & (Y4 @ Y5))))))) @ (string @ Y1) @ (entry_box @ Y2)) @ ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((Y3 @ Y5 @ Y4) & (eiw_di @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : mworld > $o]: ((^[Y5 : mworld]: (!! @ mworld @ (^[Y6 : mworld]: ((mrel @ Y5 @ Y6) => (Y4 @ Y6))))))) @ ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (!! @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) => (Y4 @ Y6 @ Y5))))))) @ (^[Y4 : $i]: ((^[Y5 : mworld > $o]: ((^[Y6 : mworld > $o]: ((^[Y7 : mworld]: ((Y5 @ Y7) => (Y6 @ Y7))))))) @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
2.12/0.70	  inference(definition_unfolding,[],[f72,f69,f66,f76,f76,f76,f70,f68,f75,f66,f76,f70])).
2.12/0.70	thf(f72,plain,(
2.12/0.70	  ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
2.12/0.70	  inference(cnf_transformation,[],[f52])).
2.12/0.70	thf(f52,plain,(
2.12/0.70	  ((mlocal @ (mbox @ (mforall_di @ (^[Y0 : $i]: (mforall_di @ (^[Y1 : $i]: (mforall_di @ (^[Y2 : $i]: (mimplies @ (mand @ (string @ Y1) @ (entry_box @ Y2)) @ (mexists_di @ (^[Y3 : $i]: (mbox @ (mforall_di @ (^[Y4 : $i]: (mimplies @ (do @ Y0 @ Y3 @ Y4) @ (in @ Y1 @ Y2 @ Y4)))))))))))))))) = $true)),
2.12/0.70	  inference(fool_elimination,[],[f51])).
2.12/0.70	thf(f51,plain,(
2.12/0.70	  (mlocal @ (mbox @ (mforall_di @ (^[X0 : $i] : (mforall_di @ (^[X1 : $i] : (mforall_di @ (^[X2 : $i] : (mimplies @ (mand @ (string @ X1) @ (entry_box @ X2)) @ (mexists_di @ (^[X3 : $i] : (mbox @ (mforall_di @ (^[X4 : $i] : (mimplies @ (do @ X0 @ X3 @ X4) @ (in @ X1 @ X2 @ X4))))))))))))))))),
2.12/0.70	  inference(rectify,[],[f17])).
2.12/0.70	thf(f17,axiom,(
2.12/0.70	  (mlocal @ (mbox @ (mforall_di @ (^[X7 : $i] : (mforall_di @ (^[X6 : $i] : (mforall_di @ (^[X3 : $i] : (mimplies @ (mand @ (string @ X6) @ (entry_box @ X3)) @ (mexists_di @ (^[X1 : $i] : (mbox @ (mforall_di @ (^[X8 : $i] : (mimplies @ (do @ X7 @ X1 @ X8) @ (in @ X6 @ X3 @ X8))))))))))))))))),
2.12/0.70	  file('/export/starexec/sandbox/tmp/tmp.kk9AojkMIn/Vampire---4.8_25977',ax3)).
2.12/0.70	thf(f128,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((do @ X4 @ X3 @ (sK7 @ X1 @ X3 @ X4 @ X2) @ (sK6 @ X1 @ X3 @ X4 @ X2)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2)))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f125])).
2.12/0.70	thf(f122,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (mrel @ sK2 @ (sK6 @ X1 @ X3 @ X4 @ X2))) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (entry_box @ X2 @ (sK3 @ X1 @ X2))) | ((number @ X2 @ one @ (sK3 @ X1 @ X2)) = $false) | ($false = (userid @ u @ X1 @ (sK3 @ X1 @ X2))) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f120])).
2.12/0.70	thf(f146,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : mworld,X4 : $i] : (($true = (eiw_di @ (sK8 @ X1 @ X3 @ X4 @ X2) @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (mrel @ mactual @ X1)) | ((eiw_di @ X4 @ X1) = $false) | ($false = (string @ X3 @ X1)) | ($false = (entry_box @ X4 @ X1))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f145])).
2.12/0.70	thf(f334,plain,(
2.12/0.70	  spl1_2 | spl1_1),
2.12/0.70	  inference(avatar_split_clause,[],[f314,f322,f325])).
2.12/0.70	thf(f314,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f313])).
2.12/0.70	thf(f313,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = $true) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f310])).
2.12/0.70	thf(f310,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = $true) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (string @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(superposition,[],[f277,f290])).
2.12/0.70	thf(f290,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f289])).
2.12/0.70	thf(f289,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X0 @ sK2)) | ($false = (string @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (entry_box @ X1 @ sK2)) | ($false = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2))) )),
2.12/0.70	  inference(forward_demodulation,[],[f288,f89])).
2.12/0.70	thf(f288,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ($false = (string @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f287])).
2.12/0.70	thf(f287,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = $true) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (mrel @ mactual @ sK2)) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f278])).
2.12/0.70	thf(f278,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = $true) | ((eiw_di @ X2 @ sK2) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (mrel @ mactual @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2))) )),
2.12/0.70	  inference(superposition,[],[f267,f110])).
2.12/0.70	thf(f110,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK2 @ (sK4 @ X3 @ X1 @ X4 @ X2)) = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f108])).
2.12/0.70	thf(f108,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | (((mrel @ sK2 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2))))))) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f107])).
2.12/0.70	thf(f107,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | (((^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))) @ (sK4 @ X3 @ X1 @ X4 @ X2)) = $false) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true)) )),
2.12/0.70	  inference(sigma_clausification,[],[f106])).
2.12/0.70	thf(f106,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (!! @ mworld @ (^[Y0 : mworld]: ((mrel @ sK2 @ Y0) => (!! @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ Y0) => ((do @ X4 @ X3 @ Y1 @ Y0) => (in @ X1 @ X2 @ Y1 @ Y0))))))))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f104])).
2.12/0.70	thf(f267,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = (eiw_di @ X0 @ X2)) | ($false = (eiw_di @ X1 @ X2)) | ($false = (string @ X0 @ X2)) | ((mrel @ mactual @ X2) = $false) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X3 @ X2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f266])).
2.12/0.70	thf(f266,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (string @ X0 @ X2)) | ($false = (eiw_di @ X3 @ sK2)) | ((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = $true) | ($false = (eiw_di @ X1 @ X2)) | ((mrel @ mactual @ X2) = $false) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (eiw_di @ X0 @ X2)) | ($false = (eiw_di @ X1 @ sK2)) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ X2))) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f262])).
2.12/0.70	thf(f262,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = $true) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ X2)) | ($false = (eiw_di @ X1 @ X2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ((mrel @ mactual @ X2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (string @ X0 @ X2)) | ($false = (eiw_di @ X1 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X0 @ sK2)) | ((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X0 @ X2)) | ($false = (eiw_di @ X3 @ sK2))) )),
2.12/0.70	  inference(superposition,[],[f251,f114])).
2.12/0.70	thf(f114,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (eiw_di @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true)) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f112])).
2.12/0.70	thf(f112,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | (((eiw_di @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2)) => ((do @ X4 @ X3 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2)))) = $false) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2))) )),
2.12/0.70	  inference(beta_eta_normalization,[],[f111])).
2.12/0.70	thf(f111,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2))))) @ (sK5 @ X1 @ X2 @ X3 @ X4)) = $false) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X4 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(sigma_clausification,[],[f109])).
2.12/0.70	thf(f109,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => ((do @ X4 @ X3 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ Y0 @ (sK4 @ X3 @ X1 @ X4 @ X2))))))) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f108])).
2.12/0.70	thf(f251,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK5 @ X0 @ X1 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3) @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (string @ X0 @ X2)) | ((mrel @ mactual @ X2) = $false) | ($false = (eiw_di @ X3 @ X2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ X2)) | ($false = (eiw_di @ X0 @ X2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f250])).
2.12/0.70	thf(f250,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (($false = (string @ X0 @ X2)) | ((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ((mrel @ mactual @ X2) = $false) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X3 @ X2)) | ($false = (eiw_di @ X0 @ X2)) | ($false = $true) | ($false = (eiw_di @ X1 @ X2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ((eiw_di @ (sK5 @ X0 @ X1 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3) @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false)) )),
2.12/0.70	  inference(duplicate_literal_removal,[],[f247])).
2.12/0.70	thf(f247,plain,(
2.12/0.70	  ( ! [X2 : mworld,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK5 @ X0 @ X1 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X3) @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ X2)) | ((mrel @ mactual @ X2) = $false) | ($false = (string @ X0 @ X2)) | ((mrel @ X2 @ (sK4 @ (sK8 @ X2 @ X0 @ X1 @ X3) @ X0 @ X3 @ X1)) = $false) | ($false = $true) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X3 @ X2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true) | ((entry_box @ X1 @ X2) = $false) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X0 @ X2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ (sK8 @ X2 @ X0 @ X1 @ X3) @ sK2)) | ((mrel @ sK2 @ (sK3 @ X0 @ X1)) = $true)) )),
2.12/0.70	  inference(superposition,[],[f115,f221])).
2.12/0.70	thf(f221,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($true = (in @ X2 @ X3 @ (sK5 @ X4 @ X5 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (eiw_di @ (sK5 @ X4 @ X5 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (mrel @ mactual @ X1)) | ((mrel @ sK2 @ (sK3 @ X4 @ X5)) = $true) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (mrel @ X1 @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (eiw_di @ X2 @ X1)) | ($false = (string @ X2 @ X1)) | ($false = (eiw_di @ X5 @ sK2)) | ($false = (eiw_di @ X0 @ X1)) | ($false = (eiw_di @ X3 @ X1)) | ((eiw_di @ (sK8 @ X1 @ X2 @ X3 @ X0) @ sK2) = $false) | ($false = (entry_box @ X3 @ X1))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f218])).
2.12/0.70	thf(f218,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : mworld,X4 : $i,X5 : $i] : (($false = $true) | ((eiw_di @ (sK8 @ X1 @ X2 @ X3 @ X0) @ sK2) = $false) | ($true = (in @ X2 @ X3 @ (sK5 @ X4 @ X5 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (eiw_di @ (sK5 @ X4 @ X5 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X0) @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (entry_box @ X3 @ X1)) | ((mrel @ sK2 @ (sK3 @ X4 @ X5)) = $true) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (mrel @ mactual @ X1)) | ($false = (eiw_di @ X4 @ sK2)) | ($false = (string @ X2 @ X1)) | ($false = (eiw_di @ X0 @ X1)) | ($false = (mrel @ X1 @ (sK4 @ (sK8 @ X1 @ X2 @ X3 @ X0) @ X4 @ X0 @ X5))) | ($false = (eiw_di @ X5 @ sK2)) | ($false = (eiw_di @ X2 @ X1)) | ($false = (eiw_di @ X3 @ X1))) )),
2.12/0.70	  inference(superposition,[],[f116,f154])).
2.12/0.70	thf(f116,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($true = (do @ X4 @ X3 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2))) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X4 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f113])).
2.12/0.70	thf(f113,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (eiw_di @ X4 @ sK2)) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ($false = ((do @ X4 @ X3 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2)) => (in @ X1 @ X2 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2)))) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f112])).
2.12/0.70	thf(f115,plain,(
2.12/0.70	  ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = (in @ X1 @ X2 @ (sK5 @ X1 @ X2 @ X3 @ X4) @ (sK4 @ X3 @ X1 @ X4 @ X2))) | ($false = (eiw_di @ X4 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ((mrel @ sK2 @ (sK3 @ X1 @ X2)) = $true) | ($false = (eiw_di @ X3 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(binary_proxy_clausification,[],[f113])).
2.12/0.70	thf(f277,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f276])).
2.12/0.70	thf(f276,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($true = (eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($true != $true)) )),
2.12/0.70	  inference(superposition,[],[f207,f217])).
2.12/0.70	thf(f217,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ mactual) = $true) | ($false = (string @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f216])).
2.12/0.70	thf(f216,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ sK2) = $false) | ($false = $true) | ((eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ mactual) = $true) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2))) )),
2.12/0.70	  inference(forward_demodulation,[],[f212,f89])).
2.12/0.70	thf(f212,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (mrel @ mactual @ sK2)) | ((eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ mactual) = $true) | ((eiw_di @ X2 @ sK2) = $false) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2))) )),
2.12/0.70	  inference(trivial_inequality_removal,[],[f210])).
2.12/0.70	thf(f210,plain,(
2.12/0.70	  ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (string @ X0 @ sK2)) | ($false = (eiw_di @ X1 @ sK2)) | ($false = (eiw_di @ X0 @ sK2)) | ($false = (entry_box @ X1 @ sK2)) | ($true != $true) | ((eiw_di @ (sK8 @ sK2 @ X0 @ X1 @ X2) @ mactual) = $true) | ($false = (mrel @ mactual @ sK2)) | ((eiw_di @ X2 @ sK2) = $false)) )),
2.12/0.70	  inference(superposition,[],[f204,f146])).
2.12/0.70	% SZS output end Proof for Vampire---4
2.12/0.70	% (26226)------------------------------
2.12/0.70	% (26226)Version: Vampire 4.7 (commit 934bd2fae on 2023-06-16 16:02:25 +0100)
2.12/0.70	% (26226)Termination reason: Refutation
2.12/0.70	
2.12/0.70	% (26226)Memory used [KB]: 7164
2.12/0.70	% (26226)Time elapsed: 0.270 s
2.12/0.70	% (26226)Instructions burned: 690 (million)
2.12/0.70	% (26226)------------------------------
2.12/0.70	% (26226)------------------------------
2.12/0.70	% (26212)Success in time 0.329 s
2.12/0.70	% Vampire---4.8 exiting
2.12/0.70	EOF