0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n029.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 09:21:04 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.34 This is a THF_ problem 0.19/0.34 Running higher-order theorem proving 0.19/0.41 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p -m 16384 -t 240 0.26/0.46 % (18721)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/18Mi) 0.26/0.46 % (18715)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/183Mi) 0.26/0.46 % (18716)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 E---3.1_18608 for (2399ds/4Mi) 0.26/0.46 % (18718)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/2Mi) 0.26/0.46 % (18719)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/2Mi) 0.26/0.46 % (18717)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/27Mi) 0.26/0.46 % (18720)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/275Mi) 0.26/0.47 % (18719)Instruction limit reached! 0.26/0.47 % (18719)------------------------------ 0.26/0.47 % (18719)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (18719)Termination reason: Unknown 0.26/0.47 % (18719)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (18719)Memory used [KB]: 1535 0.26/0.47 % (18719)Time elapsed: 0.003 s 0.26/0.47 % (18719)Instructions burned: 2 (million) 0.26/0.47 % (18719)------------------------------ 0.26/0.47 % (18719)------------------------------ 0.26/0.47 % (18721)Instruction limit reached! 0.26/0.47 % (18721)------------------------------ 0.26/0.47 % (18721)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (18721)Termination reason: Unknown 0.26/0.47 % (18721)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (18721)Memory used [KB]: 1791 0.26/0.47 % (18721)Time elapsed: 0.007 s 0.26/0.47 % (18721)Instructions burned: 19 (million) 0.26/0.47 % (18721)------------------------------ 0.26/0.47 % (18721)------------------------------ 0.26/0.47 % (18718)Instruction limit reached! 0.26/0.47 % (18718)------------------------------ 0.26/0.47 % (18718)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (18718)Termination reason: Unknown 0.26/0.47 % (18718)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (18718)Memory used [KB]: 1663 0.26/0.47 % (18718)Time elapsed: 0.004 s 0.26/0.47 % (18718)Instructions burned: 3 (million) 0.26/0.47 % (18718)------------------------------ 0.26/0.47 % (18718)------------------------------ 0.26/0.47 % (18716)Instruction limit reached! 0.26/0.47 % (18716)------------------------------ 0.26/0.47 % (18716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.47 % (18716)Termination reason: Unknown 0.26/0.47 % (18716)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (18716)Memory used [KB]: 1663 0.26/0.47 % (18716)Time elapsed: 0.005 s 0.26/0.47 % (18716)Instructions burned: 5 (million) 0.26/0.47 % (18716)------------------------------ 0.26/0.47 % (18716)------------------------------ 0.26/0.48 % (18723)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/37Mi) 0.26/0.48 % (18717)Instruction limit reached! 0.26/0.48 % (18717)------------------------------ 0.26/0.48 % (18717)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.48 % (18717)Termination reason: Unknown 0.26/0.48 % (18717)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (18717)Memory used [KB]: 1918 0.26/0.48 % (18717)Time elapsed: 0.016 s 0.26/0.48 % (18717)Instructions burned: 27 (million) 0.26/0.48 % (18717)------------------------------ 0.26/0.48 % (18717)------------------------------ 0.26/0.48 % (18724)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/15Mi) 0.26/0.48 % (18722)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/3Mi) 0.26/0.49 % (18725)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/3Mi) 0.26/0.49 % (18722)Instruction limit reached! 0.26/0.49 % (18722)------------------------------ 0.26/0.49 % (18722)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (18722)Termination reason: Unknown 0.26/0.49 % (18722)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (18722)Memory used [KB]: 1663 0.26/0.49 % (18722)Time elapsed: 0.004 s 0.26/0.49 % (18722)Instructions burned: 4 (million) 0.26/0.49 % (18722)------------------------------ 0.26/0.49 % (18722)------------------------------ 0.26/0.49 % (18725)Instruction limit reached! 0.26/0.49 % (18725)------------------------------ 0.26/0.49 % (18725)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (18725)Termination reason: Unknown 0.26/0.49 % (18725)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (18725)Memory used [KB]: 1663 0.26/0.49 % (18725)Time elapsed: 0.004 s 0.26/0.49 % (18725)Instructions burned: 3 (million) 0.26/0.49 % (18725)------------------------------ 0.26/0.49 % (18725)------------------------------ 0.26/0.49 % (18723)Instruction limit reached! 0.26/0.49 % (18723)------------------------------ 0.26/0.49 % (18723)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (18723)Termination reason: Unknown 0.26/0.49 % (18723)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (18723)Memory used [KB]: 2302 0.26/0.49 % (18723)Time elapsed: 0.013 s 0.26/0.49 % (18723)Instructions burned: 40 (million) 0.26/0.49 % (18723)------------------------------ 0.26/0.49 % (18723)------------------------------ 0.26/0.49 % (18724)Instruction limit reached! 0.26/0.49 % (18724)------------------------------ 0.26/0.49 % (18724)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.49 % (18724)Termination reason: Unknown 0.26/0.49 % (18724)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (18724)Memory used [KB]: 1791 0.26/0.49 % (18724)Time elapsed: 0.009 s 0.26/0.49 % (18724)Instructions burned: 17 (million) 0.26/0.49 % (18724)------------------------------ 0.26/0.49 % (18724)------------------------------ 0.26/0.50 % (18726)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 E---3.1_18608 for (2399ds/1041Mi) 0.26/0.50 % (18729)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/3Mi) 0.26/0.50 % (18729)Instruction limit reached! 0.26/0.50 % (18729)------------------------------ 0.26/0.50 % (18729)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.50 % (18729)Termination reason: Unknown 0.26/0.50 % (18729)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (18729)Memory used [KB]: 1663 0.26/0.50 % (18729)Time elapsed: 0.003 s 0.26/0.50 % (18729)Instructions burned: 4 (million) 0.26/0.50 % (18729)------------------------------ 0.26/0.50 % (18729)------------------------------ 0.26/0.50 % (18727)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/7Mi) 0.26/0.50 % (18728)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/16Mi) 0.26/0.51 % (18727)Instruction limit reached! 0.26/0.51 % (18727)------------------------------ 0.26/0.51 % (18727)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (18727)Termination reason: Unknown 0.26/0.51 % (18727)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (18727)Memory used [KB]: 1791 0.26/0.51 % (18727)Time elapsed: 0.006 s 0.26/0.51 % (18727)Instructions burned: 8 (million) 0.26/0.51 % (18727)------------------------------ 0.26/0.51 % (18727)------------------------------ 0.26/0.51 % (18730)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 E---3.1_18608 for (2399ds/3Mi) 0.26/0.51 % (18731)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/7Mi) 0.26/0.51 % (18730)Instruction limit reached! 0.26/0.51 % (18730)------------------------------ 0.26/0.51 % (18730)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (18730)Termination reason: Unknown 0.26/0.51 % (18730)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (18730)Memory used [KB]: 1663 0.26/0.51 % (18730)Time elapsed: 0.004 s 0.26/0.51 % (18730)Instructions burned: 4 (million) 0.26/0.51 % (18730)------------------------------ 0.26/0.51 % (18730)------------------------------ 0.26/0.51 % (18731)Instruction limit reached! 0.26/0.51 % (18731)------------------------------ 0.26/0.51 % (18731)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (18731)Termination reason: Unknown 0.26/0.51 % (18731)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (18731)Memory used [KB]: 1663 0.26/0.51 % (18731)Time elapsed: 0.004 s 0.26/0.51 % (18731)Instructions burned: 7 (million) 0.26/0.51 % (18731)------------------------------ 0.26/0.51 % (18731)------------------------------ 0.26/0.51 % (18728)Instruction limit reached! 0.26/0.51 % (18728)------------------------------ 0.26/0.51 % (18728)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.51 % (18728)Termination reason: Unknown 0.26/0.51 % (18728)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (18728)Memory used [KB]: 1791 0.26/0.51 % (18728)Time elapsed: 0.010 s 0.26/0.51 % (18728)Instructions burned: 16 (million) 0.26/0.51 % (18728)------------------------------ 0.26/0.51 % (18728)------------------------------ 0.26/0.52 % (18720)Refutation not found, incomplete strategy 0.26/0.52 % (18720)------------------------------ 0.26/0.52 % (18720)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.52 % (18720)Termination reason: Refutation not found, incomplete strategy 0.26/0.52 0.26/0.52 0.26/0.52 % (18720)Memory used [KB]: 6908 0.26/0.52 % (18720)Time elapsed: 0.057 s 0.26/0.52 % (18720)Instructions burned: 111 (million) 0.26/0.52 % (18720)------------------------------ 0.26/0.52 % (18720)------------------------------ 0.26/0.52 % (18734)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/18Mi) 0.26/0.52 % (18732)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/3Mi) 0.26/0.53 % (18732)Instruction limit reached! 0.26/0.53 % (18732)------------------------------ 0.26/0.53 % (18732)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.53 % (18734)Instruction limit reached! 0.26/0.53 % (18734)------------------------------ 0.26/0.53 % (18734)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.53 % (18734)Termination reason: Unknown 0.26/0.53 % (18734)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (18734)Memory used [KB]: 1791 0.26/0.53 % (18734)Time elapsed: 0.007 s 0.26/0.53 % (18734)Instructions burned: 18 (million) 0.26/0.53 % (18734)------------------------------ 0.26/0.53 % (18734)------------------------------ 0.26/0.53 % (18732)Termination reason: Unknown 0.26/0.53 % (18732)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (18732)Memory used [KB]: 1663 0.26/0.53 % (18732)Time elapsed: 0.004 s 0.26/0.53 % (18732)Instructions burned: 4 (million) 0.26/0.53 % (18732)------------------------------ 0.26/0.53 % (18732)------------------------------ 0.26/0.53 % (18733)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_18608 for (2399ds/4Mi) 0.26/0.53 % (18733)Instruction limit reached! 0.26/0.53 % (18733)------------------------------ 0.26/0.53 % (18733)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.53 % (18733)Termination reason: Unknown 0.26/0.53 % (18733)Termination phase: shuffling 0.26/0.53 0.26/0.53 % (18733)Memory used [KB]: 1663 0.26/0.53 % (18733)Time elapsed: 0.004 s 0.26/0.53 % (18733)Instructions burned: 4 (million) 0.26/0.53 % (18733)------------------------------ 0.26/0.53 % (18733)------------------------------ 0.26/0.53 % (18735)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/710Mi) 0.26/0.54 % (18737)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/902Mi) 0.26/0.54 % (18736)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/6Mi) 0.26/0.54 % (18736)Instruction limit reached! 0.26/0.54 % (18736)------------------------------ 0.26/0.54 % (18736)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.54 % (18738)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 E---3.1_18608 for (2398ds/21Mi) 0.26/0.54 % (18736)Termination reason: Unknown 0.26/0.54 % (18736)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (18736)Memory used [KB]: 1663 0.26/0.54 % (18736)Time elapsed: 0.005 s 0.26/0.54 % (18736)Instructions burned: 6 (million) 0.26/0.54 % (18736)------------------------------ 0.26/0.54 % (18736)------------------------------ 0.26/0.55 % (18739)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/5Mi) 0.26/0.55 % (18715)Instruction limit reached! 0.26/0.55 % (18715)------------------------------ 0.26/0.55 % (18715)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.55 % (18715)Termination reason: Unknown 0.26/0.55 % (18715)Termination phase: Function definition elimination 0.26/0.55 0.26/0.55 % (18715)Memory used [KB]: 2686 0.26/0.55 % (18715)Time elapsed: 0.086 s 0.26/0.55 % (18715)Instructions burned: 183 (million) 0.26/0.55 % (18715)------------------------------ 0.26/0.55 % (18715)------------------------------ 0.26/0.55 % (18738)Instruction limit reached! 0.26/0.55 % (18738)------------------------------ 0.26/0.55 % (18738)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.55 % (18738)Termination reason: Unknown 0.26/0.55 % (18738)Termination phase: shuffling 0.26/0.55 0.26/0.55 % (18738)Memory used [KB]: 1918 0.26/0.55 % (18738)Time elapsed: 0.009 s 0.26/0.55 % (18738)Instructions burned: 22 (million) 0.26/0.55 % (18738)------------------------------ 0.26/0.55 % (18738)------------------------------ 0.26/0.55 % (18739)Instruction limit reached! 0.26/0.55 % (18739)------------------------------ 0.26/0.55 % (18739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.55 % (18739)Termination reason: Unknown 0.26/0.55 % (18739)Termination phase: shuffling 0.26/0.55 0.26/0.55 % (18739)Memory used [KB]: 1663 0.26/0.55 % (18739)Time elapsed: 0.005 s 0.26/0.55 % (18739)Instructions burned: 6 (million) 0.26/0.55 % (18739)------------------------------ 0.26/0.55 % (18739)------------------------------ 0.26/0.55 % (18740)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 E---3.1_18608 for (2398ds/6Mi) 0.26/0.56 % (18740)Instruction limit reached! 0.26/0.56 % (18740)------------------------------ 0.26/0.56 % (18740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.26/0.56 % (18740)Termination reason: Unknown 0.26/0.56 % (18740)Termination phase: shuffling 0.26/0.56 0.26/0.56 % (18740)Memory used [KB]: 1791 0.26/0.56 % (18740)Time elapsed: 0.003 s 0.26/0.56 % (18740)Instructions burned: 7 (million) 0.26/0.56 % (18740)------------------------------ 0.26/0.56 % (18740)------------------------------ 0.26/0.56 % (18742)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/779Mi) 0.26/0.56 % (18741)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/377Mi) 1.05/0.57 % (18744)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/879Mi) 1.05/0.57 % (18743)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 E---3.1_18608 for (2398ds/19Mi) 1.05/0.58 % (18743)Instruction limit reached! 1.05/0.58 % (18743)------------------------------ 1.05/0.58 % (18743)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.05/0.58 % (18743)Termination reason: Unknown 1.05/0.58 % (18743)Termination phase: shuffling 1.05/0.58 1.05/0.58 % (18743)Memory used [KB]: 1918 1.05/0.58 % (18743)Time elapsed: 0.011 s 1.05/0.58 % (18743)Instructions burned: 20 (million) 1.05/0.58 % (18743)------------------------------ 1.05/0.58 % (18743)------------------------------ 1.05/0.59 % (18745)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/17Mi) 1.20/0.59 % (18737)Refutation not found, incomplete strategy 1.20/0.59 % (18737)------------------------------ 1.20/0.59 % (18737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.20/0.59 % (18737)Termination reason: Refutation not found, incomplete strategy 1.20/0.59 1.20/0.59 1.20/0.59 % (18737)Memory used [KB]: 7291 1.20/0.59 % (18737)Time elapsed: 0.059 s 1.20/0.59 % (18737)Instructions burned: 205 (million) 1.20/0.59 % (18737)------------------------------ 1.20/0.59 % (18737)------------------------------ 1.20/0.60 % (18745)Instruction limit reached! 1.20/0.60 % (18745)------------------------------ 1.20/0.60 % (18745)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.20/0.60 % (18745)Termination reason: Unknown 1.20/0.60 % (18745)Termination phase: shuffling 1.20/0.60 1.20/0.60 % (18745)Memory used [KB]: 1791 1.20/0.60 % (18745)Time elapsed: 0.008 s 1.20/0.60 % (18745)Instructions burned: 19 (million) 1.20/0.60 % (18745)------------------------------ 1.20/0.60 % (18745)------------------------------ 1.20/0.61 % (18746)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/3Mi) 1.20/0.61 % (18747)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/30Mi) 1.20/0.61 % (18746)Instruction limit reached! 1.20/0.61 % (18746)------------------------------ 1.20/0.61 % (18746)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.20/0.61 % (18746)Termination reason: Unknown 1.20/0.61 % (18746)Termination phase: shuffling 1.20/0.61 1.20/0.61 % (18746)Memory used [KB]: 1663 1.20/0.61 % (18746)Time elapsed: 0.003 s 1.20/0.61 % (18746)Instructions burned: 4 (million) 1.20/0.61 % (18746)------------------------------ 1.20/0.61 % (18746)------------------------------ 1.20/0.62 % (18747)Instruction limit reached! 1.20/0.62 % (18747)------------------------------ 1.20/0.62 % (18747)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.20/0.62 % (18747)Termination reason: Unknown 1.20/0.62 % (18747)Termination phase: shuffling 1.20/0.62 1.20/0.62 % (18747)Memory used [KB]: 2046 1.20/0.62 % (18747)Time elapsed: 0.011 s 1.20/0.62 % (18747)Instructions burned: 31 (million) 1.20/0.62 % (18747)------------------------------ 1.20/0.62 % (18747)------------------------------ 1.20/0.62 % (18748)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/127Mi) 1.20/0.63 % (18749)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on E---3.1_18608 for (2398ds/100Mi) 1.44/0.64 % (18744)Refutation not found, incomplete strategy 1.44/0.64 % (18744)------------------------------ 1.44/0.64 % (18744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.64 % (18744)Termination reason: Refutation not found, incomplete strategy 1.44/0.64 1.44/0.64 1.44/0.64 % (18744)Memory used [KB]: 7419 1.44/0.64 % (18744)Time elapsed: 0.077 s 1.44/0.64 % (18744)Instructions burned: 262 (million) 1.44/0.64 % (18744)------------------------------ 1.44/0.64 % (18744)------------------------------ 1.44/0.65 % (18741)Instruction limit reached! 1.44/0.65 % (18741)------------------------------ 1.44/0.65 % (18741)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.65 % (18741)Termination reason: Unknown 1.44/0.65 % (18741)Termination phase: Function definition elimination 1.44/0.65 1.44/0.65 % (18741)Memory used [KB]: 2686 1.44/0.65 % (18741)Time elapsed: 0.092 s 1.44/0.65 % (18741)Instructions burned: 381 (million) 1.44/0.65 % (18741)------------------------------ 1.44/0.65 % (18741)------------------------------ 1.44/0.65 % (18748)Instruction limit reached! 1.44/0.65 % (18748)------------------------------ 1.44/0.65 % (18748)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.65 % (18748)Termination reason: Unknown 1.44/0.65 % (18748)Termination phase: Property scanning 1.44/0.65 1.44/0.65 % (18748)Memory used [KB]: 2558 1.44/0.65 % (18748)Time elapsed: 0.038 s 1.44/0.65 % (18748)Instructions burned: 130 (million) 1.44/0.65 % (18748)------------------------------ 1.44/0.65 % (18748)------------------------------ 1.44/0.65 % (18749)Instruction limit reached! 1.44/0.65 % (18749)------------------------------ 1.44/0.65 % (18749)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.65 % (18749)Termination reason: Unknown 1.44/0.65 % (18749)Termination phase: Property scanning 1.44/0.65 1.44/0.65 % (18749)Memory used [KB]: 2558 1.44/0.65 % (18749)Time elapsed: 0.030 s 1.44/0.65 % (18749)Instructions burned: 101 (million) 1.44/0.65 % (18749)------------------------------ 1.44/0.65 % (18749)------------------------------ 1.44/0.65 % (18750)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/3Mi) 1.44/0.66 % (18750)Instruction limit reached! 1.44/0.66 % (18750)------------------------------ 1.44/0.66 % (18750)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.66 % (18750)Termination reason: Unknown 1.44/0.66 % (18750)Termination phase: shuffling 1.44/0.66 1.44/0.66 % (18750)Memory used [KB]: 1663 1.44/0.66 % (18750)Time elapsed: 0.002 s 1.44/0.66 % (18750)Instructions burned: 4 (million) 1.44/0.66 % (18750)------------------------------ 1.44/0.66 % (18750)------------------------------ 1.44/0.66 % (18751)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/20Mi) 1.44/0.66 % (18752)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 E---3.1_18608 for (2397ds/86Mi) 1.44/0.66 % (18753)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/107Mi) 1.44/0.67 % (18754)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/39Mi) 1.44/0.67 % (18751)Instruction limit reached! 1.44/0.67 % (18751)------------------------------ 1.44/0.67 % (18751)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.67 % (18751)Termination reason: Unknown 1.44/0.67 % (18751)Termination phase: shuffling 1.44/0.67 1.44/0.67 % (18751)Memory used [KB]: 1918 1.44/0.67 % (18751)Time elapsed: 0.008 s 1.44/0.67 % (18751)Instructions burned: 21 (million) 1.44/0.67 % (18751)------------------------------ 1.44/0.67 % (18751)------------------------------ 1.44/0.68 % (18754)Instruction limit reached! 1.44/0.68 % (18754)------------------------------ 1.44/0.68 % (18754)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.68 % (18754)Termination reason: Unknown 1.44/0.68 % (18754)Termination phase: shuffling 1.44/0.68 1.44/0.68 % (18754)Memory used [KB]: 2302 1.44/0.68 % (18754)Time elapsed: 0.013 s 1.44/0.68 % (18754)Instructions burned: 40 (million) 1.44/0.68 % (18754)------------------------------ 1.44/0.68 % (18754)------------------------------ 1.44/0.68 % (18755)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 E---3.1_18608 for (2397ds/448Mi) 1.44/0.69 % (18752)Instruction limit reached! 1.44/0.69 % (18752)------------------------------ 1.44/0.69 % (18752)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.69 % (18752)Termination reason: Unknown 1.44/0.69 % (18752)Termination phase: Property scanning 1.44/0.69 1.44/0.69 % (18752)Memory used [KB]: 2430 1.44/0.69 % (18752)Time elapsed: 0.026 s 1.44/0.69 % (18752)Instructions burned: 86 (million) 1.44/0.69 % (18752)------------------------------ 1.44/0.69 % (18752)------------------------------ 1.44/0.69 % (18756)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/46Mi) 1.44/0.69 % (18753)Instruction limit reached! 1.44/0.69 % (18753)------------------------------ 1.44/0.69 % (18753)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.44/0.69 % (18753)Termination reason: Unknown 1.44/0.69 % (18753)Termination phase: SInE selection 1.44/0.69 1.44/0.69 % (18753)Memory used [KB]: 2430 1.44/0.69 % (18753)Time elapsed: 0.032 s 1.44/0.69 % (18753)Instructions burned: 108 (million) 1.44/0.69 % (18753)------------------------------ 1.44/0.69 % (18753)------------------------------ 1.44/0.70 % (18757)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 E---3.1_18608 for (2397ds/98Mi) 1.93/0.70 % (18756)Instruction limit reached! 1.93/0.70 % (18756)------------------------------ 1.93/0.70 % (18756)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.93/0.70 % (18756)Termination reason: Unknown 1.93/0.70 % (18756)Termination phase: shuffling 1.93/0.70 1.93/0.70 % (18756)Memory used [KB]: 2302 1.93/0.70 % (18756)Time elapsed: 0.015 s 1.93/0.70 % (18756)Instructions burned: 46 (million) 1.93/0.70 % (18756)------------------------------ 1.93/0.70 % (18756)------------------------------ 1.93/0.70 % (18758)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/507Mi) 1.93/0.71 % (18759)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 E---3.1_18608 for (2397ds/149Mi) 1.93/0.72 % (18757)Instruction limit reached! 1.93/0.72 % (18757)------------------------------ 1.93/0.72 % (18757)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.93/0.72 % (18757)Termination reason: Unknown 1.93/0.72 % (18757)Termination phase: Property scanning 1.93/0.72 1.93/0.72 % (18757)Memory used [KB]: 2558 1.93/0.72 % (18757)Time elapsed: 0.029 s 1.93/0.72 % (18757)Instructions burned: 101 (million) 1.93/0.72 % (18757)------------------------------ 1.93/0.72 % (18757)------------------------------ 1.93/0.73 % (18760)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_18608 for (2397ds/39Mi) 1.93/0.75 % (18760)Instruction limit reached! 1.93/0.75 % (18760)------------------------------ 1.93/0.75 % (18760)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.93/0.75 % (18760)Termination reason: Unknown 1.93/0.75 % (18760)Termination phase: shuffling 1.93/0.75 1.93/0.75 % (18760)Memory used [KB]: 2174 1.93/0.75 % (18760)Time elapsed: 0.014 s 1.93/0.75 % (18760)Instructions burned: 42 (million) 1.93/0.75 % (18760)------------------------------ 1.93/0.75 % (18760)------------------------------ 1.93/0.75 % (18726)Instruction limit reached! 1.93/0.75 % (18726)------------------------------ 1.93/0.75 % (18726)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.93/0.75 % (18726)Termination reason: Unknown 1.93/0.75 % (18726)Termination phase: Function definition elimination 1.93/0.75 1.93/0.75 % (18726)Memory used [KB]: 2686 1.93/0.75 % (18726)Time elapsed: 0.256 s 1.93/0.75 % (18726)Instructions burned: 1043 (million) 1.93/0.75 % (18726)------------------------------ 1.93/0.75 % (18726)------------------------------ 1.93/0.75 % (18759)Instruction limit reached! 1.93/0.75 % (18759)------------------------------ 1.93/0.75 % (18759)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.93/0.75 % (18759)Termination reason: Unknown 1.93/0.75 % (18759)Termination phase: Function definition elimination 1.93/0.75 1.93/0.75 % (18759)Memory used [KB]: 2558 1.93/0.75 % (18759)Time elapsed: 0.043 s 1.93/0.75 % (18759)Instructions burned: 153 (million) 1.93/0.75 % (18759)------------------------------ 1.93/0.75 % (18759)------------------------------ 2.23/0.76 % (18761)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/6Mi) 2.23/0.76 % (18761)Instruction limit reached! 2.23/0.76 % (18761)------------------------------ 2.23/0.76 % (18761)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.76 % (18761)Termination reason: Unknown 2.23/0.76 % (18761)Termination phase: shuffling 2.23/0.76 2.23/0.76 % (18761)Memory used [KB]: 1791 2.23/0.76 % (18761)Time elapsed: 0.004 s 2.23/0.76 % (18761)Instructions burned: 8 (million) 2.23/0.76 % (18761)------------------------------ 2.23/0.76 % (18761)------------------------------ 2.23/0.76 % (18762)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/1087Mi) 2.23/0.76 % (18763)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/47Mi) 2.23/0.76 % (18735)Instruction limit reached! 2.23/0.76 % (18735)------------------------------ 2.23/0.76 % (18735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.76 % (18735)Termination reason: Unknown 2.23/0.76 % (18735)Termination phase: Saturation 2.23/0.76 2.23/0.76 % (18735)Memory used [KB]: 7675 2.23/0.76 % (18735)Time elapsed: 0.236 s 2.23/0.76 % (18735)Instructions burned: 712 (million) 2.23/0.76 % (18735)------------------------------ 2.23/0.76 % (18735)------------------------------ 2.23/0.77 % (18764)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 E---3.1_18608 for (2396ds/44Mi) 2.23/0.77 % (18742)Instruction limit reached! 2.23/0.77 % (18742)------------------------------ 2.23/0.77 % (18742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.77 % (18742)Termination reason: Unknown 2.23/0.77 % (18742)Termination phase: Saturation 2.23/0.77 2.23/0.77 % (18742)Memory used [KB]: 9210 2.23/0.77 % (18742)Time elapsed: 0.215 s 2.23/0.77 % (18742)Instructions burned: 781 (million) 2.23/0.77 % (18742)------------------------------ 2.23/0.77 % (18742)------------------------------ 2.23/0.77 % (18765)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/432Mi) 2.23/0.78 % (18763)Instruction limit reached! 2.23/0.78 % (18763)------------------------------ 2.23/0.78 % (18763)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.78 % (18763)Termination reason: Unknown 2.23/0.78 % (18763)Termination phase: shuffling 2.23/0.78 2.23/0.78 % (18763)Memory used [KB]: 2302 2.23/0.78 % (18763)Time elapsed: 0.016 s 2.23/0.78 % (18763)Instructions burned: 49 (million) 2.23/0.78 % (18763)------------------------------ 2.23/0.78 % (18763)------------------------------ 2.23/0.78 % (18764)Instruction limit reached! 2.23/0.78 % (18764)------------------------------ 2.23/0.78 % (18764)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.78 % (18764)Termination reason: Unknown 2.23/0.78 % (18764)Termination phase: shuffling 2.23/0.78 2.23/0.78 % (18764)Memory used [KB]: 2302 2.23/0.78 % (18764)Time elapsed: 0.013 s 2.23/0.78 % (18764)Instructions burned: 44 (million) 2.23/0.78 % (18764)------------------------------ 2.23/0.78 % (18764)------------------------------ 2.23/0.78 % (18766)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/62Mi) 2.23/0.79 % (18767)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/31Mi) 2.23/0.79 % (18768)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/96Mi) 2.23/0.80 % (18767)Instruction limit reached! 2.23/0.80 % (18767)------------------------------ 2.23/0.80 % (18767)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.80 % (18767)Termination reason: Unknown 2.23/0.80 % (18767)Termination phase: shuffling 2.23/0.80 2.23/0.80 % (18767)Memory used [KB]: 2046 2.23/0.80 % (18767)Time elapsed: 0.011 s 2.23/0.80 % (18767)Instructions burned: 32 (million) 2.23/0.80 % (18767)------------------------------ 2.23/0.80 % (18767)------------------------------ 2.23/0.80 % (18766)Instruction limit reached! 2.23/0.80 % (18766)------------------------------ 2.23/0.80 % (18766)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.80 % (18766)Termination reason: Unknown 2.23/0.80 % (18766)Termination phase: Property scanning 2.23/0.80 2.23/0.80 % (18766)Memory used [KB]: 2430 2.23/0.80 % (18766)Time elapsed: 0.019 s 2.23/0.80 % (18766)Instructions burned: 62 (million) 2.23/0.80 % (18766)------------------------------ 2.23/0.80 % (18766)------------------------------ 2.23/0.80 % (18755)Instruction limit reached! 2.23/0.80 % (18755)------------------------------ 2.23/0.80 % (18755)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.80 % (18755)Termination reason: Unknown 2.23/0.80 % (18755)Termination phase: Saturation 2.23/0.80 2.23/0.80 % (18755)Memory used [KB]: 7803 2.23/0.80 % (18755)Time elapsed: 0.125 s 2.23/0.80 % (18755)Instructions burned: 449 (million) 2.23/0.80 % (18755)------------------------------ 2.23/0.80 % (18755)------------------------------ 2.23/0.81 % (18769)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/453Mi) 2.23/0.81 % (18770)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/71Mi) 2.23/0.81 % (18771)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_18608 for (2396ds/83Mi) 2.23/0.82 % (18768)Instruction limit reached! 2.23/0.82 % (18768)------------------------------ 2.23/0.82 % (18768)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.82 % (18768)Termination reason: Unknown 2.23/0.82 % (18768)Termination phase: Property scanning 2.23/0.82 2.23/0.82 % (18768)Memory used [KB]: 2558 2.23/0.82 % (18768)Time elapsed: 0.026 s 2.23/0.82 % (18768)Instructions burned: 97 (million) 2.23/0.82 % (18768)------------------------------ 2.23/0.82 % (18768)------------------------------ 2.23/0.82 % (18762)Refutation not found, incomplete strategy 2.23/0.82 % (18762)------------------------------ 2.23/0.82 % (18762)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.82 % (18762)Termination reason: Refutation not found, incomplete strategy 2.23/0.82 2.23/0.82 2.23/0.82 % (18762)Memory used [KB]: 7036 2.23/0.82 % (18762)Time elapsed: 0.079 s 2.23/0.82 % (18762)Instructions burned: 194 (million) 2.23/0.82 % (18762)------------------------------ 2.23/0.82 % (18762)------------------------------ 2.23/0.82 % (18758)Instruction limit reached! 2.23/0.82 % (18758)------------------------------ 2.23/0.82 % (18758)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.82 % (18758)Termination reason: Unknown 2.23/0.82 % (18758)Termination phase: Function definition elimination 2.23/0.82 2.23/0.82 % (18758)Memory used [KB]: 2686 2.23/0.82 % (18758)Time elapsed: 0.118 s 2.23/0.82 % (18758)Instructions burned: 507 (million) 2.23/0.82 % (18758)------------------------------ 2.23/0.82 % (18758)------------------------------ 2.23/0.82 % (18772)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/11Mi) 2.23/0.83 % (18772)Instruction limit reached! 2.23/0.83 % (18772)------------------------------ 2.23/0.83 % (18772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.83 % (18772)Termination reason: Unknown 2.23/0.83 % (18772)Termination phase: shuffling 2.23/0.83 2.23/0.83 % (18772)Memory used [KB]: 1791 2.23/0.83 % (18772)Time elapsed: 0.004 s 2.23/0.83 % (18772)Instructions burned: 12 (million) 2.23/0.83 % (18772)------------------------------ 2.23/0.83 % (18772)------------------------------ 2.23/0.83 % (18773)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/41Mi) 2.23/0.83 % (18770)Instruction limit reached! 2.23/0.83 % (18770)------------------------------ 2.23/0.83 % (18770)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.83 % (18770)Termination reason: Unknown 2.23/0.83 % (18770)Termination phase: Property scanning 2.23/0.83 2.23/0.83 % (18770)Memory used [KB]: 2430 2.23/0.83 % (18770)Time elapsed: 0.022 s 2.23/0.83 % (18770)Instructions burned: 71 (million) 2.23/0.83 % (18770)------------------------------ 2.23/0.83 % (18770)------------------------------ 2.23/0.83 % (18774)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/6Mi) 2.23/0.83 % (18774)Instruction limit reached! 2.23/0.83 % (18774)------------------------------ 2.23/0.83 % (18774)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.83 % (18774)Termination reason: Unknown 2.23/0.83 % (18774)Termination phase: shuffling 2.23/0.83 2.23/0.83 % (18774)Memory used [KB]: 1663 2.23/0.83 % (18774)Time elapsed: 0.004 s 2.23/0.83 % (18774)Instructions burned: 7 (million) 2.23/0.83 % (18774)------------------------------ 2.23/0.83 % (18774)------------------------------ 2.23/0.84 % (18771)Instruction limit reached! 2.23/0.84 % (18771)------------------------------ 2.23/0.84 % (18771)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.84 % (18771)Termination reason: Unknown 2.23/0.84 % (18771)Termination phase: Property scanning 2.23/0.84 2.23/0.84 % (18771)Memory used [KB]: 2430 2.23/0.84 % (18771)Time elapsed: 0.026 s 2.23/0.84 % (18771)Instructions burned: 86 (million) 2.23/0.84 % (18771)------------------------------ 2.23/0.84 % (18771)------------------------------ 2.23/0.84 % (18775)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/150Mi) 2.23/0.84 % (18773)Instruction limit reached! 2.23/0.84 % (18773)------------------------------ 2.23/0.84 % (18773)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.23/0.84 % (18773)Termination reason: Unknown 2.23/0.84 % (18773)Termination phase: shuffling 2.23/0.84 2.23/0.84 % (18773)Memory used [KB]: 2302 2.23/0.84 % (18773)Time elapsed: 0.014 s 2.23/0.84 % (18773)Instructions burned: 44 (million) 2.23/0.84 % (18773)------------------------------ 2.23/0.84 % (18773)------------------------------ 2.23/0.84 % (18776)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/343Mi) 2.23/0.84 % (18777)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/109Mi) 2.23/0.85 % (18778)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/253Mi) 2.23/0.85 % (18779)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/140Mi) 2.86/0.87 % (18775)Instruction limit reached! 2.86/0.87 % (18775)------------------------------ 2.86/0.87 % (18775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.86/0.87 % (18775)Termination reason: Unknown 2.86/0.87 % (18775)Termination phase: Function definition elimination 2.86/0.87 2.86/0.87 % (18775)Memory used [KB]: 2558 2.86/0.87 % (18775)Time elapsed: 0.038 s 2.86/0.87 % (18775)Instructions burned: 150 (million) 2.86/0.87 % (18775)------------------------------ 2.86/0.87 % (18775)------------------------------ 2.86/0.87 % (18765)Instruction limit reached! 2.86/0.87 % (18765)------------------------------ 2.86/0.87 % (18765)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.86/0.87 % (18765)Termination reason: Unknown 2.86/0.87 % (18765)Termination phase: Function definition elimination 2.86/0.87 2.86/0.87 % (18765)Memory used [KB]: 2686 2.86/0.87 % (18765)Time elapsed: 0.102 s 2.86/0.87 % (18765)Instructions burned: 433 (million) 2.86/0.87 % (18765)------------------------------ 2.86/0.87 % (18765)------------------------------ 2.86/0.88 % (18777)Instruction limit reached! 2.86/0.88 % (18777)------------------------------ 2.86/0.88 % (18777)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.86/0.88 % (18777)Termination reason: Unknown 2.86/0.88 % (18777)Termination phase: SInE selection 2.86/0.88 2.86/0.88 % (18777)Memory used [KB]: 2430 2.86/0.88 % (18777)Time elapsed: 0.033 s 2.86/0.88 % (18777)Instructions burned: 111 (million) 2.86/0.88 % (18777)------------------------------ 2.86/0.88 % (18777)------------------------------ 2.86/0.88 % (18778)Refutation not found, incomplete strategy 2.86/0.88 % (18778)------------------------------ 2.86/0.88 % (18778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.86/0.88 % (18778)Termination reason: Refutation not found, incomplete strategy 2.86/0.88 2.86/0.88 2.86/0.88 % (18778)Memory used [KB]: 6908 2.86/0.88 % (18778)Time elapsed: 0.034 s 2.86/0.88 % (18778)Instructions burned: 113 (million) 2.86/0.88 % (18778)------------------------------ 2.86/0.88 % (18778)------------------------------ 2.86/0.88 % (18780)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/614Mi) 2.86/0.89 % (18781)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/202Mi) 2.86/0.89 % (18782)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/339Mi) 2.86/0.89 % (18779)Refutation not found, incomplete strategy 2.86/0.89 % (18779)------------------------------ 2.86/0.89 % (18779)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 2.86/0.89 % (18779)Termination reason: Refutation not found, incomplete strategy 2.86/0.89 2.86/0.89 2.86/0.89 % (18779)Memory used [KB]: 7036 2.86/0.89 % (18779)Time elapsed: 0.038 s 2.86/0.89 % (18779)Instructions burned: 127 (million) 2.86/0.89 % (18779)------------------------------ 2.86/0.89 % (18779)------------------------------ 2.86/0.89 % (18783)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/283Mi) 3.16/0.90 % (18784)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/134Mi) 3.16/0.91 % (18769)Instruction limit reached! 3.16/0.91 % (18769)------------------------------ 3.16/0.91 % (18769)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.16/0.91 % (18769)Termination reason: Unknown 3.16/0.91 % (18769)Termination phase: Function definition elimination 3.16/0.91 3.16/0.91 % (18769)Memory used [KB]: 2686 3.16/0.91 % (18769)Time elapsed: 0.106 s 3.16/0.91 % (18769)Instructions burned: 456 (million) 3.16/0.91 % (18769)------------------------------ 3.16/0.91 % (18769)------------------------------ 3.16/0.92 % (18781)Refutation not found, incomplete strategy 3.16/0.92 % (18781)------------------------------ 3.16/0.92 % (18781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.16/0.92 % (18781)Termination reason: Refutation not found, incomplete strategy 3.16/0.92 3.16/0.92 3.16/0.92 % (18781)Memory used [KB]: 6908 3.16/0.92 % (18781)Time elapsed: 0.036 s 3.16/0.92 % (18781)Instructions burned: 122 (million) 3.16/0.92 % (18781)------------------------------ 3.16/0.92 % (18781)------------------------------ 3.16/0.92 % (18785)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_18608 for (2395ds/298Mi) 3.16/0.93 % (18776)Instruction limit reached! 3.16/0.93 % (18776)------------------------------ 3.16/0.93 % (18776)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.16/0.93 % (18776)Termination reason: Unknown 3.16/0.93 % (18776)Termination phase: Saturation 3.16/0.93 3.16/0.93 % (18776)Memory used [KB]: 7547 3.16/0.93 % (18776)Time elapsed: 0.089 s 3.16/0.93 % (18776)Instructions burned: 344 (million) 3.16/0.93 % (18776)------------------------------ 3.16/0.93 % (18776)------------------------------ 3.16/0.93 % (18786)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/192Mi) 3.16/0.93 % (18784)Instruction limit reached! 3.16/0.93 % (18784)------------------------------ 3.16/0.93 % (18784)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.16/0.93 % (18784)Termination reason: Unknown 3.16/0.93 % (18784)Termination phase: Function definition elimination 3.16/0.93 3.16/0.93 % (18784)Memory used [KB]: 2558 3.16/0.93 % (18784)Time elapsed: 0.035 s 3.16/0.93 % (18784)Instructions burned: 134 (million) 3.16/0.93 % (18784)------------------------------ 3.16/0.93 % (18784)------------------------------ 3.46/0.94 % (18787)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/258Mi) 3.46/0.94 % (18788)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/90Mi) 3.46/0.95 % (18783)Instruction limit reached! 3.46/0.95 % (18783)------------------------------ 3.46/0.95 % (18783)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.95 % (18783)Termination reason: Unknown 3.46/0.95 % (18783)Termination phase: Function definition elimination 3.46/0.95 3.46/0.95 % (18783)Memory used [KB]: 2686 3.46/0.95 % (18783)Time elapsed: 0.063 s 3.46/0.95 % (18783)Instructions burned: 284 (million) 3.46/0.95 % (18783)------------------------------ 3.46/0.95 % (18783)------------------------------ 3.46/0.96 % (18789)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/231Mi) 3.46/0.96 % (18782)Instruction limit reached! 3.46/0.96 % (18782)------------------------------ 3.46/0.96 % (18782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.96 % (18782)Termination reason: Unknown 3.46/0.96 % (18782)Termination phase: Function definition elimination 3.46/0.96 3.46/0.96 % (18782)Memory used [KB]: 2686 3.46/0.96 % (18782)Time elapsed: 0.080 s 3.46/0.96 % (18782)Instructions burned: 342 (million) 3.46/0.96 % (18782)------------------------------ 3.46/0.96 % (18782)------------------------------ 3.46/0.96 % (18788)Instruction limit reached! 3.46/0.96 % (18788)------------------------------ 3.46/0.96 % (18788)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.96 % (18788)Termination reason: Unknown 3.46/0.96 % (18788)Termination phase: Property scanning 3.46/0.96 3.46/0.96 % (18788)Memory used [KB]: 2430 3.46/0.96 % (18788)Time elapsed: 0.025 s 3.46/0.96 % (18788)Instructions burned: 92 (million) 3.46/0.96 % (18788)------------------------------ 3.46/0.96 % (18788)------------------------------ 3.46/0.97 % (18790)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/458Mi) 3.46/0.97 % (18791)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/31Mi) 3.46/0.98 % (18786)Instruction limit reached! 3.46/0.98 % (18786)------------------------------ 3.46/0.98 % (18786)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.98 % (18786)Termination reason: Unknown 3.46/0.98 % (18786)Termination phase: Function definition elimination 3.46/0.98 3.46/0.98 % (18786)Memory used [KB]: 2686 3.46/0.98 % (18786)Time elapsed: 0.047 s 3.46/0.98 % (18786)Instructions burned: 196 (million) 3.46/0.98 % (18786)------------------------------ 3.46/0.98 % (18786)------------------------------ 3.46/0.98 % (18791)Instruction limit reached! 3.46/0.98 % (18791)------------------------------ 3.46/0.98 % (18791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.98 % (18791)Termination reason: Unknown 3.46/0.98 % (18791)Termination phase: shuffling 3.46/0.98 3.46/0.98 % (18791)Memory used [KB]: 2174 3.46/0.98 % (18791)Time elapsed: 0.010 s 3.46/0.98 % (18791)Instructions burned: 33 (million) 3.46/0.98 % (18791)------------------------------ 3.46/0.98 % (18791)------------------------------ 3.46/0.98 % (18792)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/297Mi) 3.46/0.98 % (18785)Instruction limit reached! 3.46/0.98 % (18785)------------------------------ 3.46/0.98 % (18785)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.46/0.98 % (18785)Termination reason: Unknown 3.46/0.98 % (18785)Termination phase: Function definition elimination 3.46/0.98 3.46/0.98 % (18785)Memory used [KB]: 2686 3.46/0.98 % (18785)Time elapsed: 0.066 s 3.46/0.98 % (18785)Instructions burned: 298 (million) 3.46/0.98 % (18785)------------------------------ 3.46/0.98 % (18785)------------------------------ 3.46/0.99 % (18793)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/987Mi) 3.46/0.99 % (18794)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/182Mi) 3.80/1.00 % (18787)Instruction limit reached! 3.80/1.00 % (18787)------------------------------ 3.80/1.00 % (18787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.00 % (18787)Termination reason: Unknown 3.80/1.00 % (18787)Termination phase: Saturation 3.80/1.00 3.80/1.00 % (18787)Memory used [KB]: 7419 3.80/1.00 % (18787)Time elapsed: 0.065 s 3.80/1.00 % (18787)Instructions burned: 258 (million) 3.80/1.00 % (18787)------------------------------ 3.80/1.00 % (18787)------------------------------ 3.80/1.01 % (18795)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/182Mi) 3.80/1.01 % (18789)Instruction limit reached! 3.80/1.01 % (18789)------------------------------ 3.80/1.01 % (18789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.01 % (18789)Termination reason: Unknown 3.80/1.01 % (18789)Termination phase: Function definition elimination 3.80/1.01 3.80/1.01 % (18789)Memory used [KB]: 2686 3.80/1.01 % (18789)Time elapsed: 0.053 s 3.80/1.01 % (18789)Instructions burned: 232 (million) 3.80/1.01 % (18789)------------------------------ 3.80/1.01 % (18789)------------------------------ 3.80/1.01 % (18780)Instruction limit reached! 3.80/1.01 % (18780)------------------------------ 3.80/1.01 % (18780)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.01 % (18780)Termination reason: Unknown 3.80/1.01 % (18780)Termination phase: Function definition elimination 3.80/1.01 3.80/1.01 % (18780)Memory used [KB]: 2686 3.80/1.01 % (18780)Time elapsed: 0.130 s 3.80/1.01 % (18780)Instructions burned: 618 (million) 3.80/1.01 % (18780)------------------------------ 3.80/1.01 % (18780)------------------------------ 3.80/1.02 % (18796)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/154Mi) 3.80/1.02 % (18797)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_18608 for (2394ds/79Mi) 3.80/1.04 % (18794)Instruction limit reached! 3.80/1.04 % (18794)------------------------------ 3.80/1.04 % (18794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.04 % (18794)Termination reason: Unknown 3.80/1.04 % (18794)Termination phase: Function definition elimination 3.80/1.04 3.80/1.04 % (18794)Memory used [KB]: 2686 3.80/1.04 % (18794)Time elapsed: 0.045 s 3.80/1.04 % (18794)Instructions burned: 185 (million) 3.80/1.04 % (18794)------------------------------ 3.80/1.04 % (18794)------------------------------ 3.80/1.04 % (18797)Instruction limit reached! 3.80/1.04 % (18797)------------------------------ 3.80/1.04 % (18797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.04 % (18797)Termination reason: Unknown 3.80/1.04 % (18797)Termination phase: Property scanning 3.80/1.04 3.80/1.04 % (18797)Memory used [KB]: 2430 3.80/1.04 % (18797)Time elapsed: 0.022 s 3.80/1.04 % (18797)Instructions burned: 80 (million) 3.80/1.04 % (18797)------------------------------ 3.80/1.04 % (18797)------------------------------ 3.80/1.05 % (18798)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/216Mi) 3.80/1.05 % (18799)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/114Mi) 3.80/1.06 % (18795)Instruction limit reached! 3.80/1.06 % (18795)------------------------------ 3.80/1.06 % (18795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.06 % (18795)Termination reason: Unknown 3.80/1.06 % (18795)Termination phase: Property scanning 3.80/1.06 3.80/1.06 % (18795)Memory used [KB]: 2558 3.80/1.06 % (18795)Time elapsed: 0.047 s 3.80/1.06 % (18795)Instructions burned: 185 (million) 3.80/1.06 % (18795)------------------------------ 3.80/1.06 % (18795)------------------------------ 3.80/1.06 % (18796)Instruction limit reached! 3.80/1.06 % (18796)------------------------------ 3.80/1.06 % (18796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 3.80/1.06 % (18796)Termination reason: Unknown 3.80/1.06 % (18796)Termination phase: Function definition elimination 3.80/1.06 3.80/1.06 % (18796)Memory used [KB]: 2558 3.80/1.06 % (18796)Time elapsed: 0.038 s 3.80/1.06 % (18796)Instructions burned: 155 (million) 3.80/1.06 % (18796)------------------------------ 3.80/1.06 % (18796)------------------------------ 4.52/1.06 % (18792)Instruction limit reached! 4.52/1.06 % (18792)------------------------------ 4.52/1.06 % (18792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.06 % (18792)Termination reason: Unknown 4.52/1.06 % (18792)Termination phase: Saturation 4.52/1.06 4.52/1.06 % (18792)Memory used [KB]: 7291 4.52/1.06 % (18792)Time elapsed: 0.081 s 4.52/1.06 % (18792)Instructions burned: 298 (million) 4.52/1.06 % (18792)------------------------------ 4.52/1.06 % (18792)------------------------------ 4.52/1.07 % (18800)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/922Mi) 4.52/1.07 % (18801)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/182Mi) 4.52/1.07 % (18802)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/164Mi) 4.52/1.08 % (18799)Instruction limit reached! 4.52/1.08 % (18799)------------------------------ 4.52/1.08 % (18799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.08 % (18799)Termination reason: Unknown 4.52/1.08 % (18799)Termination phase: Property scanning 4.52/1.08 4.52/1.08 % (18799)Memory used [KB]: 2558 4.52/1.08 % (18799)Time elapsed: 0.031 s 4.52/1.08 % (18799)Instructions burned: 117 (million) 4.52/1.08 % (18799)------------------------------ 4.52/1.08 % (18799)------------------------------ 4.52/1.09 % (18790)Instruction limit reached! 4.52/1.09 % (18790)------------------------------ 4.52/1.09 % (18790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.09 % (18790)Termination reason: Unknown 4.52/1.09 % (18790)Termination phase: Function definition elimination 4.52/1.09 4.52/1.09 % (18790)Memory used [KB]: 2686 4.52/1.09 % (18790)Time elapsed: 0.108 s 4.52/1.09 % (18790)Instructions burned: 462 (million) 4.52/1.09 % (18790)------------------------------ 4.52/1.09 % (18790)------------------------------ 4.52/1.09 % (18803)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/50Mi) 4.52/1.10 % (18804)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/368Mi) 4.52/1.10 % (18798)Instruction limit reached! 4.52/1.10 % (18798)------------------------------ 4.52/1.10 % (18798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.10 % (18798)Termination reason: Unknown 4.52/1.10 % (18798)Termination phase: Property scanning 4.52/1.10 4.52/1.10 % (18798)Memory used [KB]: 2814 4.52/1.10 % (18798)Time elapsed: 0.054 s 4.52/1.10 % (18798)Instructions burned: 218 (million) 4.52/1.10 % (18798)------------------------------ 4.52/1.10 % (18798)------------------------------ 4.52/1.11 % (18803)Instruction limit reached! 4.52/1.11 % (18803)------------------------------ 4.52/1.11 % (18803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.11 % (18803)Termination reason: Unknown 4.52/1.11 % (18803)Termination phase: shuffling 4.52/1.11 4.52/1.11 % (18803)Memory used [KB]: 2430 4.52/1.11 % (18803)Time elapsed: 0.014 s 4.52/1.11 % (18803)Instructions burned: 51 (million) 4.52/1.11 % (18803)------------------------------ 4.52/1.11 % (18803)------------------------------ 4.52/1.11 % (18802)Refutation not found, incomplete strategy 4.52/1.11 % (18802)------------------------------ 4.52/1.11 % (18802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.11 % (18802)Termination reason: Refutation not found, incomplete strategy 4.52/1.11 4.52/1.11 4.52/1.11 % (18802)Memory used [KB]: 2558 4.52/1.11 % (18802)Time elapsed: 0.035 s 4.52/1.11 % (18802)Instructions burned: 133 (million) 4.52/1.11 % (18802)------------------------------ 4.52/1.11 % (18802)------------------------------ 4.52/1.11 % (18805)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 E---3.1_18608 for (2393ds/1021Mi) 4.52/1.11 % (18801)Instruction limit reached! 4.52/1.11 % (18801)------------------------------ 4.52/1.11 % (18801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.11 % (18801)Termination reason: Unknown 4.52/1.11 % (18801)Termination phase: Function definition elimination 4.52/1.11 4.52/1.11 % (18801)Memory used [KB]: 2686 4.52/1.11 % (18801)Time elapsed: 0.044 s 4.52/1.11 % (18801)Instructions burned: 184 (million) 4.52/1.11 % (18801)------------------------------ 4.52/1.11 % (18801)------------------------------ 4.52/1.11 % (18806)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/267Mi) 4.52/1.12 % (18807)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/204Mi) 4.52/1.12 % (18808)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_18608 for (2393ds/26Mi) 4.52/1.13 % (18808)Instruction limit reached! 4.52/1.13 % (18808)------------------------------ 4.52/1.13 % (18808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.13 % (18808)Termination reason: Unknown 4.52/1.13 % (18808)Termination phase: shuffling 4.52/1.13 4.52/1.13 % (18808)Memory used [KB]: 2046 4.52/1.13 % (18808)Time elapsed: 0.008 s 4.52/1.13 % (18808)Instructions burned: 27 (million) 4.52/1.13 % (18808)------------------------------ 4.52/1.13 % (18808)------------------------------ 4.52/1.14 % (18809)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/53Mi) 4.52/1.15 % (18809)Instruction limit reached! 4.52/1.15 % (18809)------------------------------ 4.52/1.15 % (18809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.52/1.15 % (18809)Termination reason: Unknown 4.52/1.15 % (18809)Termination phase: shuffling 4.52/1.15 4.52/1.15 % (18809)Memory used [KB]: 2430 4.52/1.15 % (18809)Time elapsed: 0.015 s 4.52/1.15 % (18809)Instructions burned: 54 (million) 4.52/1.15 % (18809)------------------------------ 4.52/1.15 % (18809)------------------------------ 4.89/1.16 % (18810)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/4436Mi) 4.89/1.17 % (18807)Instruction limit reached! 4.89/1.17 % (18807)------------------------------ 4.89/1.17 % (18807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.89/1.17 % (18807)Termination reason: Unknown 4.89/1.17 % (18807)Termination phase: Function definition elimination 4.89/1.17 4.89/1.17 % (18807)Memory used [KB]: 2558 4.89/1.17 % (18807)Time elapsed: 0.051 s 4.89/1.17 % (18807)Instructions burned: 206 (million) 4.89/1.17 % (18807)------------------------------ 4.89/1.17 % (18807)------------------------------ 4.89/1.17 % (18806)Instruction limit reached! 4.89/1.17 % (18806)------------------------------ 4.89/1.17 % (18806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.89/1.17 % (18806)Termination reason: Unknown 4.89/1.17 % (18806)Termination phase: Function definition elimination 4.89/1.17 4.89/1.17 % (18806)Memory used [KB]: 2686 4.89/1.17 % (18806)Time elapsed: 0.060 s 4.89/1.17 % (18806)Instructions burned: 267 (million) 4.89/1.17 % (18806)------------------------------ 4.89/1.17 % (18806)------------------------------ 4.89/1.18 % (18811)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/1539Mi) 4.89/1.18 % (18812)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/408Mi) 4.89/1.18 % (18804)Instruction limit reached! 4.89/1.18 % (18804)------------------------------ 4.89/1.18 % (18804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.89/1.18 % (18804)Termination reason: Unknown 4.89/1.18 % (18804)Termination phase: Function definition elimination 4.89/1.18 4.89/1.18 % (18804)Memory used [KB]: 2686 4.89/1.18 % (18804)Time elapsed: 0.087 s 4.89/1.18 % (18804)Instructions burned: 370 (million) 4.89/1.18 % (18804)------------------------------ 4.89/1.18 % (18804)------------------------------ 4.89/1.19 % (18793)Instruction limit reached! 4.89/1.19 % (18793)------------------------------ 4.89/1.19 % (18793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 4.89/1.19 % (18793)Termination reason: Unknown 4.89/1.19 % (18793)Termination phase: Function definition elimination 4.89/1.19 4.89/1.19 % (18793)Memory used [KB]: 2686 4.89/1.19 % (18793)Time elapsed: 0.201 s 4.89/1.19 % (18793)Instructions burned: 987 (million) 4.89/1.19 % (18793)------------------------------ 4.89/1.19 % (18793)------------------------------ 4.89/1.19 % (18813)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/5205Mi) 5.15/1.20 % (18814)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/1913Mi) 5.15/1.21 % (18810)Refutation not found, incomplete strategy 5.15/1.21 % (18810)------------------------------ 5.15/1.21 % (18810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.15/1.21 % (18810)Termination reason: Refutation not found, incomplete strategy 5.15/1.21 5.15/1.21 5.15/1.21 % (18810)Memory used [KB]: 7036 5.15/1.21 % (18810)Time elapsed: 0.074 s 5.15/1.21 % (18810)Instructions burned: 193 (million) 5.15/1.21 % (18810)------------------------------ 5.15/1.21 % (18810)------------------------------ 5.15/1.22 % (18815)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_18608 for (2392ds/4350Mi) 5.23/1.25 % (18800)Instruction limit reached! 5.23/1.25 % (18800)------------------------------ 5.23/1.25 % (18800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.23/1.26 % (18800)Termination reason: Unknown 5.23/1.26 % (18800)Termination phase: Function definition elimination 5.23/1.26 5.23/1.26 % (18800)Memory used [KB]: 2686 5.23/1.26 % (18800)Time elapsed: 0.189 s 5.23/1.26 % (18800)Instructions burned: 927 (million) 5.23/1.26 % (18800)------------------------------ 5.23/1.26 % (18800)------------------------------ 5.23/1.26 % (18816)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_18608 for (2391ds/68Mi) 5.23/1.28 % (18816)Instruction limit reached! 5.23/1.28 % (18816)------------------------------ 5.23/1.28 % (18816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.23/1.28 % (18816)Termination reason: Unknown 5.23/1.28 % (18816)Termination phase: Property scanning 5.23/1.28 5.23/1.28 % (18816)Memory used [KB]: 2430 5.23/1.28 % (18816)Time elapsed: 0.020 s 5.23/1.28 % (18816)Instructions burned: 71 (million) 5.23/1.28 % (18816)------------------------------ 5.23/1.28 % (18816)------------------------------ 5.23/1.29 % (18812)Instruction limit reached! 5.23/1.29 % (18812)------------------------------ 5.23/1.29 % (18812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.23/1.29 % (18812)Termination reason: Unknown 5.23/1.29 % (18812)Termination phase: Saturation 5.23/1.29 5.23/1.29 % (18812)Memory used [KB]: 7931 5.23/1.29 % (18812)Time elapsed: 0.104 s 5.23/1.29 % (18812)Instructions burned: 408 (million) 5.23/1.29 % (18812)------------------------------ 5.23/1.29 % (18812)------------------------------ 5.23/1.29 % (18817)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_18608 for (2391ds/358Mi) 5.23/1.30 % (18818)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_18608 for (2391ds/31Mi) 5.23/1.30 % (18818)Instruction limit reached! 5.23/1.30 % (18818)------------------------------ 5.23/1.30 % (18818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.23/1.30 % (18818)Termination reason: Unknown 5.23/1.30 % (18818)Termination phase: shuffling 5.23/1.30 5.23/1.30 % (18818)Memory used [KB]: 2174 5.23/1.30 % (18818)Time elapsed: 0.010 s 5.23/1.30 % (18818)Instructions burned: 33 (million) 5.23/1.30 % (18818)------------------------------ 5.23/1.30 % (18818)------------------------------ 5.23/1.31 % (18819)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_18608 for (2391ds/279Mi) 5.23/1.32 % (18805)Instruction limit reached! 5.23/1.32 % (18805)------------------------------ 5.23/1.32 % (18805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.23/1.32 % (18805)Termination reason: Unknown 5.23/1.32 % (18805)Termination phase: Function definition elimination 5.23/1.32 5.23/1.32 % (18805)Memory used [KB]: 2686 5.23/1.32 % (18805)Time elapsed: 0.212 s 5.23/1.32 % (18805)Instructions burned: 1022 (million) 5.23/1.32 % (18805)------------------------------ 5.23/1.32 % (18805)------------------------------ 5.80/1.33 % (18820)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_18608 for (2390ds/258Mi) 5.80/1.38 % (18817)Instruction limit reached! 5.80/1.38 % (18817)------------------------------ 5.80/1.38 % (18817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.80/1.38 % (18817)Termination reason: Unknown 5.80/1.38 % (18817)Termination phase: Property scanning 5.80/1.38 5.80/1.38 % (18817)Memory used [KB]: 2942 5.80/1.38 % (18817)Time elapsed: 0.086 s 5.80/1.38 % (18817)Instructions burned: 359 (million) 5.80/1.38 % (18817)------------------------------ 5.80/1.38 % (18817)------------------------------ 5.80/1.38 % (18819)Instruction limit reached! 5.80/1.38 % (18819)------------------------------ 5.80/1.38 % (18819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.80/1.38 % (18819)Termination reason: Unknown 5.80/1.38 % (18819)Termination phase: Saturation 5.80/1.38 5.80/1.38 % (18819)Memory used [KB]: 7547 5.80/1.38 % (18819)Time elapsed: 0.071 s 5.80/1.38 % (18819)Instructions burned: 280 (million) 5.80/1.38 % (18819)------------------------------ 5.80/1.38 % (18819)------------------------------ 5.80/1.39 % (18821)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_18608 for (2390ds/26Mi) 5.98/1.39 % (18822)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_18608 for (2390ds/995Mi) 5.98/1.39 % (18821)Instruction limit reached! 5.98/1.39 % (18821)------------------------------ 5.98/1.39 % (18821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.98/1.39 % (18821)Termination reason: Unknown 5.98/1.39 % (18821)Termination phase: shuffling 5.98/1.39 5.98/1.39 % (18821)Memory used [KB]: 2046 5.98/1.39 % (18821)Time elapsed: 0.008 s 5.98/1.39 % (18821)Instructions burned: 27 (million) 5.98/1.39 % (18821)------------------------------ 5.98/1.39 % (18821)------------------------------ 5.98/1.40 % (18820)Instruction limit reached! 5.98/1.40 % (18820)------------------------------ 5.98/1.40 % (18820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 5.98/1.40 % (18820)Termination reason: Unknown 5.98/1.40 % (18820)Termination phase: Saturation 5.98/1.40 5.98/1.40 % (18820)Memory used [KB]: 7419 5.98/1.40 % (18820)Time elapsed: 0.069 s 5.98/1.40 % (18820)Instructions burned: 258 (million) 5.98/1.40 % (18820)------------------------------ 5.98/1.40 % (18820)------------------------------ 5.98/1.40 % (18823)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_18608 for (2390ds/373Mi) 5.98/1.41 % (18824)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on E---3.1_18608 for (2390ds/253Mi) 6.07/1.47 % (18824)Instruction limit reached! 6.07/1.47 % (18824)------------------------------ 6.07/1.47 % (18824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.07/1.47 % (18824)Termination reason: Unknown 6.07/1.47 % (18824)Termination phase: Function definition elimination 6.07/1.47 6.07/1.47 % (18824)Memory used [KB]: 2686 6.07/1.47 % (18824)Time elapsed: 0.059 s 6.07/1.47 % (18824)Instructions burned: 257 (million) 6.07/1.47 % (18824)------------------------------ 6.07/1.47 % (18824)------------------------------ 6.07/1.48 % (18825)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on E---3.1_18608 for (2389ds/832Mi) 6.07/1.48 % (18823)Instruction limit reached! 6.07/1.48 % (18823)------------------------------ 6.07/1.48 % (18823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.07/1.48 % (18823)Termination reason: Unknown 6.07/1.48 % (18823)Termination phase: Function definition elimination 6.07/1.48 6.07/1.48 % (18823)Memory used [KB]: 2686 6.07/1.48 % (18823)Time elapsed: 0.082 s 6.07/1.48 % (18823)Instructions burned: 373 (million) 6.07/1.48 % (18823)------------------------------ 6.07/1.48 % (18823)------------------------------ 6.07/1.49 % (18811)Instruction limit reached! 6.07/1.49 % (18811)------------------------------ 6.07/1.49 % (18811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.07/1.49 % (18811)Termination reason: Unknown 6.07/1.49 % (18811)Termination phase: Function definition elimination 6.07/1.49 6.07/1.49 % (18811)Memory used [KB]: 2686 6.07/1.49 % (18811)Time elapsed: 0.309 s 6.07/1.49 % (18811)Instructions burned: 1540 (million) 6.07/1.49 % (18811)------------------------------ 6.07/1.49 % (18811)------------------------------ 6.07/1.49 % (18826)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on E---3.1_18608 for (2389ds/668Mi) 6.07/1.50 % (18827)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on E---3.1_18608 for (2389ds/40Mi) 6.54/1.51 % (18827)Instruction limit reached! 6.54/1.51 % (18827)------------------------------ 6.54/1.51 % (18827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.54/1.51 % (18827)Termination reason: Unknown 6.54/1.51 % (18827)Termination phase: shuffling 6.54/1.51 6.54/1.51 % (18827)Memory used [KB]: 2302 6.54/1.51 % (18827)Time elapsed: 0.012 s 6.54/1.51 % (18827)Instructions burned: 42 (million) 6.54/1.51 % (18827)------------------------------ 6.54/1.51 % (18827)------------------------------ 6.54/1.52 % (18828)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on E---3.1_18608 for (2389ds/294Mi) 6.54/1.53 % (18825)Refutation not found, incomplete strategy 6.54/1.53 % (18825)------------------------------ 6.54/1.53 % (18825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.54/1.53 % (18825)Termination reason: Refutation not found, incomplete strategy 6.54/1.53 6.54/1.53 6.54/1.53 % (18825)Memory used [KB]: 7419 6.54/1.53 % (18825)Time elapsed: 0.054 s 6.54/1.53 % (18825)Instructions burned: 203 (million) 6.54/1.53 % (18825)------------------------------ 6.54/1.53 % (18825)------------------------------ 6.62/1.54 % (18829)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on E---3.1_18608 for (2388ds/187Mi) 6.62/1.58 % (18829)Instruction limit reached! 6.62/1.58 % (18829)------------------------------ 6.62/1.58 % (18829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.62/1.58 % (18829)Termination reason: Unknown 6.62/1.58 % (18829)Termination phase: Function definition elimination 6.62/1.58 6.62/1.58 % (18829)Memory used [KB]: 2686 6.62/1.58 % (18829)Time elapsed: 0.046 s 6.62/1.58 % (18829)Instructions burned: 188 (million) 6.62/1.58 % (18829)------------------------------ 6.62/1.58 % (18829)------------------------------ 6.62/1.59 % (18828)Instruction limit reached! 6.62/1.59 % (18828)------------------------------ 6.62/1.59 % (18828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.62/1.59 % (18828)Termination reason: Unknown 6.62/1.59 % (18828)Termination phase: Saturation 6.62/1.59 6.62/1.59 % (18828)Memory used [KB]: 7291 6.62/1.59 % (18828)Time elapsed: 0.078 s 6.62/1.59 % (18828)Instructions burned: 295 (million) 6.62/1.59 % (18828)------------------------------ 6.62/1.59 % (18828)------------------------------ 6.62/1.59 % (18830)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on E---3.1_18608 for (2388ds/371Mi) 6.62/1.60 % (18822)Instruction limit reached! 6.62/1.60 % (18822)------------------------------ 6.62/1.60 % (18822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.62/1.60 % (18822)Termination reason: Unknown 6.62/1.60 % (18822)Termination phase: Function definition elimination 6.62/1.60 6.62/1.60 % (18822)Memory used [KB]: 2686 6.62/1.60 % (18822)Time elapsed: 0.203 s 6.62/1.60 % (18822)Instructions burned: 997 (million) 6.62/1.60 % (18822)------------------------------ 6.62/1.60 % (18822)------------------------------ 6.62/1.60 % (18831)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on E---3.1_18608 for (2388ds/1827Mi) 6.62/1.61 % (18832)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on E---3.1_18608 for (2388ds/70Mi) 6.62/1.62 % (18832)Instruction limit reached! 6.62/1.62 % (18832)------------------------------ 6.62/1.62 % (18832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 6.62/1.62 % (18832)Termination reason: Unknown 6.62/1.62 % (18832)Termination phase: Property scanning 6.62/1.62 6.62/1.62 % (18832)Memory used [KB]: 2430 6.62/1.62 % (18832)Time elapsed: 0.019 s 6.62/1.62 % (18832)Instructions burned: 71 (million) 6.62/1.62 % (18832)------------------------------ 6.62/1.62 % (18832)------------------------------ 7.00/1.63 % (18826)Instruction limit reached! 7.00/1.63 % (18826)------------------------------ 7.00/1.63 % (18826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.00/1.63 % (18826)Termination reason: Unknown 7.00/1.63 % (18826)Termination phase: Function definition elimination 7.00/1.63 7.00/1.63 % (18826)Memory used [KB]: 2686 7.00/1.63 % (18826)Time elapsed: 0.139 s 7.00/1.63 % (18826)Instructions burned: 672 (million) 7.00/1.63 % (18826)------------------------------ 7.00/1.63 % (18826)------------------------------ 7.00/1.63 % (18833)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on E---3.1_18608 for (2387ds/316Mi) 7.00/1.64 % (18834)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on E---3.1_18608 for (2387ds/932Mi) 7.00/1.69 % (18830)Instruction limit reached! 7.00/1.69 % (18830)------------------------------ 7.00/1.69 % (18830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.00/1.69 % (18830)Termination reason: Unknown 7.00/1.69 % (18830)Termination phase: Saturation 7.00/1.69 7.00/1.69 % (18830)Memory used [KB]: 7547 7.00/1.69 % (18830)Time elapsed: 0.096 s 7.00/1.69 % (18830)Instructions burned: 371 (million) 7.00/1.69 % (18830)------------------------------ 7.00/1.69 % (18830)------------------------------ 7.00/1.70 % (18835)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on E---3.1_18608 for (2387ds/4714Mi) 7.00/1.70 % (18814)Instruction limit reached! 7.00/1.70 % (18814)------------------------------ 7.00/1.70 % (18814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 7.00/1.70 % (18814)Termination reason: Unknown 7.00/1.70 % (18814)Termination phase: Saturation 7.00/1.70 7.00/1.70 % (18814)Memory used [KB]: 4733 7.00/1.70 % (18814)Time elapsed: 0.523 s 7.00/1.70 % (18814)Instructions burned: 1914 (million) 7.00/1.70 % (18814)------------------------------ 7.00/1.70 % (18814)------------------------------ 8.97/1.70 % (18833)Instruction limit reached! 8.97/1.70 % (18833)------------------------------ 8.97/1.70 % (18833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 8.97/1.70 % (18833)Termination reason: Unknown 8.97/1.70 % (18833)Termination phase: Function definition elimination 8.97/1.70 8.97/1.70 % (18833)Memory used [KB]: 2686 8.97/1.70 % (18833)Time elapsed: 0.070 s 8.97/1.70 % (18833)Instructions burned: 319 (million) 8.97/1.70 % (18833)------------------------------ 8.97/1.70 % (18833)------------------------------ 8.97/1.71 % (18836)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on E---3.1_18608 for (2387ds/8250Mi) 8.97/1.71 % (18837)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on E---3.1_18608 for (2387ds/770Mi) 9.59/1.83 % (18834)Instruction limit reached! 9.59/1.83 % (18834)------------------------------ 9.59/1.83 % (18834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.59/1.83 % (18834)Termination reason: Unknown 9.59/1.83 % (18834)Termination phase: Function definition elimination 9.59/1.83 9.59/1.83 % (18834)Memory used [KB]: 2686 9.59/1.83 % (18834)Time elapsed: 0.189 s 9.59/1.83 % (18834)Instructions burned: 932 (million) 9.59/1.83 % (18834)------------------------------ 9.59/1.83 % (18834)------------------------------ 9.59/1.84 % (18838)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on E---3.1_18608 for (2385ds/794Mi) 9.99/1.92 % (18837)Instruction limit reached! 9.99/1.92 % (18837)------------------------------ 9.99/1.92 % (18837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 9.99/1.92 % (18837)Termination reason: Unknown 9.99/1.92 % (18837)Termination phase: Saturation 9.99/1.92 9.99/1.92 % (18837)Memory used [KB]: 10106 9.99/1.92 % (18837)Time elapsed: 0.212 s 9.99/1.92 % (18837)Instructions burned: 771 (million) 9.99/1.92 % (18837)------------------------------ 9.99/1.92 % (18837)------------------------------ 9.99/1.93 % (18839)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on E---3.1_18608 for (2384ds/464Mi) 10.49/2.00 % (18838)Instruction limit reached! 10.49/2.00 % (18838)------------------------------ 10.49/2.00 % (18838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.49/2.00 % (18838)Termination reason: Unknown 10.49/2.00 % (18838)Termination phase: Function definition elimination 10.49/2.00 10.49/2.00 % (18838)Memory used [KB]: 2686 10.49/2.00 % (18838)Time elapsed: 0.164 s 10.49/2.00 % (18838)Instructions burned: 795 (million) 10.49/2.00 % (18838)------------------------------ 10.49/2.00 % (18838)------------------------------ 10.49/2.01 % (18840)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on E---3.1_18608 for (2384ds/1376Mi) 10.49/2.03 % (18839)Instruction limit reached! 10.49/2.03 % (18839)------------------------------ 10.49/2.03 % (18839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 10.49/2.03 % (18839)Termination reason: Unknown 10.49/2.03 % (18839)Termination phase: Function definition elimination 10.49/2.03 10.49/2.03 % (18839)Memory used [KB]: 2686 10.49/2.03 % (18839)Time elapsed: 0.100 s 10.49/2.03 % (18839)Instructions burned: 465 (million) 10.49/2.03 % (18839)------------------------------ 10.49/2.03 % (18839)------------------------------ 10.49/2.04 % (18841)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on E---3.1_18608 for (2383ds/906Mi) 11.31/2.13 % (18831)Instruction limit reached! 11.31/2.13 % (18831)------------------------------ 11.31/2.13 % (18831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.31/2.13 % (18831)Termination reason: Unknown 11.31/2.13 % (18831)Termination phase: Saturation 11.31/2.13 11.31/2.13 % (18831)Memory used [KB]: 9466 11.31/2.13 % (18831)Time elapsed: 0.528 s 11.31/2.13 % (18831)Instructions burned: 1828 (million) 11.31/2.13 % (18831)------------------------------ 11.31/2.13 % (18831)------------------------------ 11.31/2.14 % (18842)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on E---3.1_18608 for (2382ds/434Mi) 11.31/2.23 % (18841)Instruction limit reached! 11.31/2.23 % (18841)------------------------------ 11.31/2.23 % (18841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 11.31/2.23 % (18841)Termination reason: Unknown 11.31/2.23 % (18841)Termination phase: Function definition elimination 11.31/2.23 11.31/2.23 % (18841)Memory used [KB]: 2686 11.31/2.23 % (18841)Time elapsed: 0.187 s 11.31/2.23 % (18841)Instructions burned: 907 (million) 11.31/2.23 % (18841)------------------------------ 11.31/2.23 % (18841)------------------------------ 12.63/2.24 % (18843)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on E---3.1_18608 for (2381ds/865Mi) 12.63/2.24 % (18813)Instruction limit reached! 12.63/2.24 % (18813)------------------------------ 12.63/2.24 % (18813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.63/2.24 % (18813)Termination reason: Unknown 12.63/2.24 % (18813)Termination phase: Function definition elimination 12.63/2.24 12.63/2.24 % (18813)Memory used [KB]: 2942 12.63/2.24 % (18813)Time elapsed: 1.033 s 12.63/2.24 % (18813)Instructions burned: 5207 (million) 12.63/2.24 % (18813)------------------------------ 12.63/2.24 % (18813)------------------------------ 12.63/2.25 % (18844)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on E---3.1_18608 for (2381ds/593Mi) 12.63/2.27 % (18842)Instruction limit reached! 12.63/2.27 % (18842)------------------------------ 12.63/2.27 % (18842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.63/2.27 % (18842)Termination reason: Unknown 12.63/2.27 % (18842)Termination phase: Saturation 12.63/2.27 12.63/2.27 % (18842)Memory used [KB]: 7291 12.63/2.27 % (18842)Time elapsed: 0.128 s 12.63/2.27 % (18842)Instructions burned: 436 (million) 12.63/2.27 % (18842)------------------------------ 12.63/2.27 % (18842)------------------------------ 12.63/2.28 % (18845)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on E---3.1_18608 for (2381ds/443Mi) 12.63/2.29 % (18840)Instruction limit reached! 12.63/2.29 % (18840)------------------------------ 12.63/2.29 % (18840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 12.63/2.29 % (18840)Termination reason: Unknown 12.63/2.29 % (18840)Termination phase: Function definition elimination 12.63/2.29 12.63/2.29 % (18840)Memory used [KB]: 2942 12.63/2.29 % (18840)Time elapsed: 0.275 s 12.63/2.29 % (18840)Instructions burned: 1380 (million) 12.63/2.29 % (18840)------------------------------ 12.63/2.29 % (18840)------------------------------ 12.63/2.30 % (18846)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on E---3.1_18608 for (2381ds/594Mi) 13.00/2.38 % (18844)Instruction limit reached! 13.00/2.38 % (18844)------------------------------ 13.00/2.38 % (18844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.00/2.38 % (18844)Termination reason: Unknown 13.00/2.38 % (18844)Termination phase: Function definition elimination 13.00/2.38 13.00/2.38 % (18844)Memory used [KB]: 2686 13.00/2.38 % (18844)Time elapsed: 0.123 s 13.00/2.38 % (18844)Instructions burned: 593 (million) 13.00/2.38 % (18844)------------------------------ 13.00/2.38 % (18844)------------------------------ 13.35/2.39 % (18847)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on E---3.1_18608 for (2380ds/327Mi) 13.35/2.39 % (18845)Instruction limit reached! 13.35/2.39 % (18845)------------------------------ 13.35/2.39 % (18845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.39 % (18845)Termination reason: Unknown 13.35/2.39 % (18845)Termination phase: Saturation 13.35/2.39 13.35/2.39 % (18845)Memory used [KB]: 7931 13.35/2.39 % (18845)Time elapsed: 0.116 s 13.35/2.39 % (18845)Instructions burned: 445 (million) 13.35/2.39 % (18845)------------------------------ 13.35/2.39 % (18845)------------------------------ 13.35/2.40 % (18848)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on E---3.1_18608 for (2380ds/5411Mi) 13.35/2.40 % (18815)Instruction limit reached! 13.35/2.40 % (18815)------------------------------ 13.35/2.40 % (18815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.40 % (18815)Termination reason: Unknown 13.35/2.40 % (18815)Termination phase: Saturation 13.35/2.40 13.35/2.40 % (18815)Memory used [KB]: 11129 13.35/2.40 % (18815)Time elapsed: 1.205 s 13.35/2.40 % (18815)Instructions burned: 4351 (million) 13.35/2.40 % (18815)------------------------------ 13.35/2.40 % (18815)------------------------------ 13.35/2.41 % (18849)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on E---3.1_18608 for (2380ds/1762Mi) 13.35/2.43 % (18848)Refutation not found, incomplete strategy 13.35/2.43 % (18848)------------------------------ 13.35/2.43 % (18848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.43 % (18848)Termination reason: Refutation not found, incomplete strategy 13.35/2.43 13.35/2.43 13.35/2.43 % (18848)Memory used [KB]: 6908 13.35/2.43 % (18848)Time elapsed: 0.030 s 13.35/2.43 % (18848)Instructions burned: 111 (million) 13.35/2.43 % (18848)------------------------------ 13.35/2.43 % (18848)------------------------------ 13.35/2.44 % (18850)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/96Mi) 13.35/2.45 % (18846)Instruction limit reached! 13.35/2.45 % (18846)------------------------------ 13.35/2.45 % (18846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.45 % (18846)Termination reason: Unknown 13.35/2.45 % (18846)Termination phase: Saturation 13.35/2.45 13.35/2.45 % (18846)Memory used [KB]: 7547 13.35/2.45 % (18846)Time elapsed: 0.158 s 13.35/2.45 % (18846)Instructions burned: 596 (million) 13.35/2.45 % (18846)------------------------------ 13.35/2.45 % (18846)------------------------------ 13.35/2.46 % (18851)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/503Mi) 13.35/2.47 % (18843)Instruction limit reached! 13.35/2.47 % (18843)------------------------------ 13.35/2.47 % (18843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.47 % (18843)Termination reason: Unknown 13.35/2.47 % (18843)Termination phase: Saturation 13.35/2.47 13.35/2.47 % (18843)Memory used [KB]: 7675 13.35/2.47 % (18843)Time elapsed: 0.231 s 13.35/2.47 % (18843)Instructions burned: 866 (million) 13.35/2.47 % (18843)------------------------------ 13.35/2.47 % (18843)------------------------------ 13.35/2.47 % (18850)Instruction limit reached! 13.35/2.47 % (18850)------------------------------ 13.35/2.47 % (18850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 13.35/2.47 % (18850)Termination reason: Unknown 13.35/2.47 % (18850)Termination phase: Property scanning 13.35/2.47 13.35/2.47 % (18850)Memory used [KB]: 2558 13.35/2.47 % (18850)Time elapsed: 0.026 s 13.35/2.47 % (18850)Instructions burned: 100 (million) 13.35/2.47 % (18850)------------------------------ 13.35/2.47 % (18850)------------------------------ 14.19/2.47 % (18847)Instruction limit reached! 14.19/2.47 % (18847)------------------------------ 14.19/2.47 % (18847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.19/2.47 % (18847)Termination reason: Unknown 14.19/2.47 % (18847)Termination phase: Saturation 14.19/2.47 14.19/2.47 % (18847)Memory used [KB]: 7675 14.19/2.47 % (18847)Time elapsed: 0.090 s 14.19/2.47 % (18847)Instructions burned: 329 (million) 14.19/2.47 % (18847)------------------------------ 14.19/2.47 % (18847)------------------------------ 14.19/2.48 % (18852)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/90Mi) 14.19/2.48 % (18853)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/593Mi) 14.19/2.48 % (18854)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/1512Mi) 14.33/2.50 % (18852)Instruction limit reached! 14.33/2.50 % (18852)------------------------------ 14.33/2.50 % (18852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.33/2.50 % (18852)Termination reason: Unknown 14.33/2.50 % (18852)Termination phase: Property scanning 14.33/2.50 14.33/2.50 % (18852)Memory used [KB]: 2430 14.33/2.50 % (18852)Time elapsed: 0.024 s 14.33/2.50 % (18852)Instructions burned: 90 (million) 14.33/2.50 % (18852)------------------------------ 14.33/2.50 % (18852)------------------------------ 14.33/2.51 % (18855)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on E---3.1_18608 for (2379ds/569Mi) 14.41/2.54 % (18854)Refutation not found, incomplete strategy 14.41/2.54 % (18854)------------------------------ 14.41/2.54 % (18854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.41/2.54 % (18854)Termination reason: Refutation not found, incomplete strategy 14.41/2.54 14.41/2.54 14.41/2.54 % (18854)Memory used [KB]: 7419 14.41/2.54 % (18854)Time elapsed: 0.055 s 14.41/2.54 % (18854)Instructions burned: 210 (million) 14.41/2.54 % (18854)------------------------------ 14.41/2.54 % (18854)------------------------------ 14.41/2.55 % (18856)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on E---3.1_18608 for (2378ds/501Mi) 14.41/2.60 % (18851)Instruction limit reached! 14.41/2.60 % (18851)------------------------------ 14.41/2.60 % (18851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.41/2.60 % (18851)Termination reason: Unknown 14.41/2.60 % (18851)Termination phase: Saturation 14.41/2.60 14.41/2.60 % (18851)Memory used [KB]: 7547 14.41/2.60 % (18851)Time elapsed: 0.137 s 14.41/2.60 % (18851)Instructions burned: 503 (million) 14.41/2.60 % (18851)------------------------------ 14.41/2.60 % (18851)------------------------------ 14.78/2.60 % (18853)Instruction limit reached! 14.78/2.60 % (18853)------------------------------ 14.78/2.60 % (18853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.78/2.60 % (18853)Termination reason: Unknown 14.78/2.60 % (18853)Termination phase: Function definition elimination 14.78/2.60 14.78/2.60 % (18853)Memory used [KB]: 2686 14.78/2.60 % (18853)Time elapsed: 0.125 s 14.78/2.60 % (18853)Instructions burned: 594 (million) 14.78/2.60 % (18853)------------------------------ 14.78/2.60 % (18853)------------------------------ 14.78/2.61 % (18857)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on E---3.1_18608 for (2378ds/562Mi) 14.78/2.61 % (18858)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on E---3.1_18608 for (2378ds/406Mi) 14.78/2.62 % (18835)Instruction limit reached! 14.78/2.62 % (18835)------------------------------ 14.78/2.62 % (18835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.78/2.62 % (18835)Termination reason: Unknown 14.78/2.62 % (18835)Termination phase: Function definition elimination 14.78/2.62 14.78/2.62 % (18835)Memory used [KB]: 2942 14.78/2.62 % (18835)Time elapsed: 0.926 s 14.78/2.62 % (18835)Instructions burned: 4717 (million) 14.78/2.62 % (18835)------------------------------ 14.78/2.62 % (18835)------------------------------ 14.78/2.63 % (18855)Instruction limit reached! 14.78/2.63 % (18855)------------------------------ 14.78/2.63 % (18855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.78/2.63 % (18855)Termination reason: Unknown 14.78/2.63 % (18855)Termination phase: Function definition elimination 14.78/2.63 14.78/2.63 % (18855)Memory used [KB]: 2686 14.78/2.63 % (18855)Time elapsed: 0.118 s 14.78/2.63 % (18855)Instructions burned: 570 (million) 14.78/2.63 % (18855)------------------------------ 14.78/2.63 % (18855)------------------------------ 14.78/2.63 % (18859)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on E---3.1_18608 for (2378ds/582Mi) 14.78/2.63 % (18860)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on E---3.1_18608 for (2378ds/456Mi) 14.78/2.65 % (18856)Instruction limit reached! 14.78/2.65 % (18856)------------------------------ 14.78/2.65 % (18856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 14.78/2.65 % (18856)Termination reason: Unknown 14.78/2.65 % (18856)Termination phase: Function definition elimination 14.78/2.65 14.78/2.65 % (18856)Memory used [KB]: 2686 14.78/2.65 % (18856)Time elapsed: 0.107 s 14.78/2.65 % (18856)Instructions burned: 503 (million) 14.78/2.65 % (18856)------------------------------ 14.78/2.65 % (18856)------------------------------ 14.78/2.66 % (18861)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on E---3.1_18608 for (2377ds/393Mi) 15.26/2.70 % (18860)Refutation not found, incomplete strategy 15.26/2.70 % (18860)------------------------------ 15.26/2.70 % (18860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.70 % (18860)Termination reason: Refutation not found, incomplete strategy 15.26/2.70 15.26/2.70 15.26/2.70 % (18860)Memory used [KB]: 7419 15.26/2.70 % (18860)Time elapsed: 0.061 s 15.26/2.70 % (18860)Instructions burned: 241 (million) 15.26/2.70 % (18860)------------------------------ 15.26/2.70 % (18860)------------------------------ 15.26/2.70 % (18862)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on E---3.1_18608 for (2377ds/1335Mi) 15.26/2.72 % (18858)Instruction limit reached! 15.26/2.72 % (18858)------------------------------ 15.26/2.72 % (18858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.72 % (18858)Termination reason: Unknown 15.26/2.72 % (18858)Termination phase: Saturation 15.26/2.72 15.26/2.72 % (18858)Memory used [KB]: 7931 15.26/2.72 % (18858)Time elapsed: 0.136 s 15.26/2.72 % (18858)Instructions burned: 408 (million) 15.26/2.72 % (18858)------------------------------ 15.26/2.72 % (18858)------------------------------ 15.26/2.73 % (18863)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on E---3.1_18608 for (2377ds/3373Mi) 15.26/2.74 % (18857)Instruction limit reached! 15.26/2.74 % (18857)------------------------------ 15.26/2.74 % (18857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.74 % (18857)Termination reason: Unknown 15.26/2.74 % (18857)Termination phase: Property scanning 15.26/2.74 15.26/2.74 % (18857)Memory used [KB]: 2814 15.26/2.74 % (18857)Time elapsed: 0.131 s 15.26/2.74 % (18857)Instructions burned: 565 (million) 15.26/2.74 % (18857)------------------------------ 15.26/2.74 % (18857)------------------------------ 15.26/2.75 % (18864)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/474Mi) 15.26/2.75 % (18861)Instruction limit reached! 15.26/2.75 % (18861)------------------------------ 15.26/2.75 % (18861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.75 % (18861)Termination reason: Unknown 15.26/2.75 % (18861)Termination phase: Function definition elimination 15.26/2.75 15.26/2.75 % (18861)Memory used [KB]: 2686 15.26/2.75 % (18861)Time elapsed: 0.085 s 15.26/2.75 % (18861)Instructions burned: 393 (million) 15.26/2.75 % (18861)------------------------------ 15.26/2.75 % (18861)------------------------------ 15.26/2.75 % (18859)Instruction limit reached! 15.26/2.75 % (18859)------------------------------ 15.26/2.75 % (18859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.75 % (18859)Termination reason: Unknown 15.26/2.75 % (18859)Termination phase: Function definition elimination 15.26/2.75 15.26/2.75 % (18859)Memory used [KB]: 2686 15.26/2.75 % (18859)Time elapsed: 0.123 s 15.26/2.75 % (18859)Instructions burned: 583 (million) 15.26/2.75 % (18859)------------------------------ 15.26/2.75 % (18859)------------------------------ 15.26/2.76 % (18865)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/157Mi) 15.26/2.76 % (18866)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/590Mi) 15.26/2.76 % (18849)Instruction limit reached! 15.26/2.76 % (18849)------------------------------ 15.26/2.76 % (18849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 15.26/2.76 % (18849)Termination reason: Unknown 15.26/2.76 % (18849)Termination phase: Function definition elimination 15.26/2.76 15.26/2.76 % (18849)Memory used [KB]: 2686 15.26/2.76 % (18849)Time elapsed: 0.353 s 15.26/2.76 % (18849)Instructions burned: 1763 (million) 15.26/2.76 % (18849)------------------------------ 15.26/2.76 % (18849)------------------------------ 16.27/2.77 % (18867)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/104Mi) 16.30/2.80 % (18865)Instruction limit reached! 16.30/2.80 % (18865)------------------------------ 16.30/2.80 % (18865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.30/2.80 % (18865)Termination reason: Unknown 16.30/2.80 % (18865)Termination phase: Function definition elimination 16.30/2.80 16.30/2.80 % (18865)Memory used [KB]: 2686 16.30/2.80 % (18865)Time elapsed: 0.040 s 16.30/2.80 % (18865)Instructions burned: 161 (million) 16.30/2.80 % (18865)------------------------------ 16.30/2.80 % (18865)------------------------------ 16.30/2.80 % (18867)Instruction limit reached! 16.30/2.80 % (18867)------------------------------ 16.30/2.80 % (18867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.30/2.80 % (18867)Termination reason: Unknown 16.30/2.80 % (18867)Termination phase: Property scanning 16.30/2.80 16.30/2.80 % (18867)Memory used [KB]: 2558 16.30/2.80 % (18867)Time elapsed: 0.028 s 16.30/2.80 % (18867)Instructions burned: 104 (million) 16.30/2.80 % (18867)------------------------------ 16.30/2.80 % (18867)------------------------------ 16.30/2.81 % (18868)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/414Mi) 16.30/2.81 % (18869)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on E---3.1_18608 for (2376ds/715Mi) 16.82/2.85 % (18864)Instruction limit reached! 16.82/2.85 % (18864)------------------------------ 16.82/2.85 % (18864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.82/2.85 % (18864)Termination reason: Unknown 16.82/2.85 % (18864)Termination phase: Function definition elimination 16.82/2.85 16.82/2.85 % (18864)Memory used [KB]: 2686 16.82/2.85 % (18864)Time elapsed: 0.102 s 16.82/2.85 % (18864)Instructions burned: 476 (million) 16.82/2.85 % (18864)------------------------------ 16.82/2.85 % (18864)------------------------------ 16.82/2.86 % (18870)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on E---3.1_18608 for (2375ds/961Mi) 16.82/2.89 % (18862)Refutation not found, incomplete strategy 16.82/2.89 % (18862)------------------------------ 16.82/2.89 % (18862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.82/2.89 % (18862)Termination reason: Refutation not found, incomplete strategy 16.82/2.89 16.82/2.89 16.82/2.89 % (18862)Memory used [KB]: 7803 16.82/2.89 % (18862)Time elapsed: 0.208 s 16.82/2.89 % (18862)Instructions burned: 733 (million) 16.82/2.89 % (18862)------------------------------ 16.82/2.89 % (18862)------------------------------ 16.82/2.89 % (18866)Instruction limit reached! 16.82/2.89 % (18866)------------------------------ 16.82/2.89 % (18866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.82/2.89 % (18866)Termination reason: Unknown 16.82/2.89 % (18866)Termination phase: Function definition elimination 16.82/2.89 16.82/2.89 % (18866)Memory used [KB]: 2686 16.82/2.89 % (18866)Time elapsed: 0.126 s 16.82/2.89 % (18866)Instructions burned: 593 (million) 16.82/2.89 % (18866)------------------------------ 16.82/2.89 % (18866)------------------------------ 16.82/2.89 % (18868)Instruction limit reached! 16.82/2.89 % (18868)------------------------------ 16.82/2.89 % (18868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 16.82/2.89 % (18868)Termination reason: Unknown 16.82/2.89 % (18868)Termination phase: Function definition elimination 16.82/2.89 16.82/2.89 % (18868)Memory used [KB]: 2686 16.82/2.89 % (18868)Time elapsed: 0.088 s 16.82/2.89 % (18868)Instructions burned: 414 (million) 16.82/2.89 % (18868)------------------------------ 16.82/2.89 % (18868)------------------------------ 16.82/2.90 % (18871)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on E---3.1_18608 for (2375ds/1213Mi) 16.82/2.90 % (18872)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on E---3.1_18608 for (2375ds/1979Mi) 16.82/2.90 % (18873)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on E---3.1_18608 for (2375ds/481Mi) 17.31/2.96 % (18869)Instruction limit reached! 17.31/2.96 % (18869)------------------------------ 17.31/2.96 % (18869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.31/2.96 % (18869)Termination reason: Unknown 17.31/2.96 % (18869)Termination phase: Function definition elimination 17.31/2.96 17.31/2.96 % (18869)Memory used [KB]: 2686 17.31/2.96 % (18869)Time elapsed: 0.149 s 17.31/2.96 % (18869)Instructions burned: 716 (million) 17.31/2.96 % (18869)------------------------------ 17.31/2.96 % (18869)------------------------------ 17.31/2.97 % (18874)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on E---3.1_18608 for (2374ds/783Mi) 17.49/3.00 % (18873)Instruction limit reached! 17.49/3.00 % (18873)------------------------------ 17.49/3.00 % (18873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.49/3.00 % (18873)Termination reason: Unknown 17.49/3.00 % (18873)Termination phase: Function definition elimination 17.49/3.00 17.49/3.00 % (18873)Memory used [KB]: 2686 17.49/3.00 % (18873)Time elapsed: 0.102 s 17.49/3.00 % (18873)Instructions burned: 481 (million) 17.49/3.00 % (18873)------------------------------ 17.49/3.00 % (18873)------------------------------ 17.49/3.01 % (18875)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on E---3.1_18608 for (2374ds/432Mi) 17.49/3.05 % (18870)Instruction limit reached! 17.49/3.05 % (18870)------------------------------ 17.49/3.05 % (18870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 17.49/3.05 % (18870)Termination reason: Unknown 17.49/3.05 % (18870)Termination phase: Function definition elimination 17.49/3.05 17.49/3.05 % (18870)Memory used [KB]: 2686 17.49/3.05 % (18870)Time elapsed: 0.198 s 17.49/3.05 % (18870)Instructions burned: 963 (million) 17.49/3.05 % (18870)------------------------------ 17.49/3.05 % (18870)------------------------------ 17.98/3.06 % (18876)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on E---3.1_18608 for (2373ds/1670Mi) 18.12/3.14 % (18875)Instruction limit reached! 18.12/3.14 % (18875)------------------------------ 18.12/3.14 % (18875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.12/3.14 % (18875)Termination reason: Unknown 18.12/3.14 % (18875)Termination phase: Saturation 18.12/3.14 18.12/3.14 % (18875)Memory used [KB]: 7931 18.12/3.14 % (18875)Time elapsed: 0.127 s 18.12/3.14 % (18875)Instructions burned: 433 (million) 18.12/3.14 % (18875)------------------------------ 18.12/3.14 % (18875)------------------------------ 18.12/3.15 % (18877)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on E---3.1_18608 for (2372ds/90Mi) 18.12/3.17 % (18877)Instruction limit reached! 18.12/3.17 % (18877)------------------------------ 18.12/3.17 % (18877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.12/3.17 % (18877)Termination reason: Unknown 18.12/3.17 % (18877)Termination phase: Property scanning 18.12/3.17 18.12/3.17 % (18877)Memory used [KB]: 2430 18.12/3.17 % (18877)Time elapsed: 0.025 s 18.12/3.17 % (18877)Instructions burned: 93 (million) 18.12/3.17 % (18877)------------------------------ 18.12/3.17 % (18877)------------------------------ 18.12/3.18 % (18878)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on E---3.1_18608 for (2372ds/346Mi) 18.12/3.19 % (18874)Instruction limit reached! 18.12/3.19 % (18874)------------------------------ 18.12/3.19 % (18874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.12/3.19 % (18874)Termination reason: Unknown 18.12/3.19 % (18874)Termination phase: Saturation 18.12/3.19 18.12/3.19 % (18874)Memory used [KB]: 7931 18.12/3.19 % (18874)Time elapsed: 0.219 s 18.12/3.19 % (18874)Instructions burned: 783 (million) 18.12/3.19 % (18874)------------------------------ 18.12/3.19 % (18874)------------------------------ 18.12/3.20 % (18879)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on E---3.1_18608 for (2372ds/401Mi) 18.68/3.25 % (18871)Instruction limit reached! 18.68/3.25 % (18871)------------------------------ 18.68/3.25 % (18871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.68/3.25 % (18871)Termination reason: Unknown 18.68/3.25 % (18871)Termination phase: Saturation 18.68/3.25 18.68/3.25 % (18871)Memory used [KB]: 9210 18.68/3.25 % (18871)Time elapsed: 0.352 s 18.68/3.25 % (18871)Instructions burned: 1214 (million) 18.68/3.25 % (18871)------------------------------ 18.68/3.25 % (18871)------------------------------ 18.68/3.26 % (18878)Instruction limit reached! 18.68/3.26 % (18878)------------------------------ 18.68/3.26 % (18878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 18.68/3.26 % (18878)Termination reason: Unknown 18.68/3.26 % (18878)Termination phase: Function definition elimination 18.68/3.26 18.68/3.26 % (18878)Memory used [KB]: 2686 18.68/3.26 % (18878)Time elapsed: 0.076 s 18.68/3.26 % (18878)Instructions burned: 348 (million) 18.68/3.26 % (18878)------------------------------ 18.68/3.26 % (18878)------------------------------ 18.68/3.26 % (18880)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on E---3.1_18608 for (2371ds/6454Mi) 18.68/3.27 % (18881)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on E---3.1_18608 for (2371ds/283Mi) 19.25/3.28 % (18879)Instruction limit reached! 19.25/3.28 % (18879)------------------------------ 19.25/3.28 % (18879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.25/3.28 % (18879)Termination reason: Unknown 19.25/3.28 % (18879)Termination phase: Function definition elimination 19.25/3.28 19.25/3.28 % (18879)Memory used [KB]: 2686 19.25/3.28 % (18879)Time elapsed: 0.087 s 19.25/3.28 % (18879)Instructions burned: 403 (million) 19.25/3.28 % (18879)------------------------------ 19.25/3.28 % (18879)------------------------------ 19.25/3.29 % (18872)Instruction limit reached! 19.25/3.29 % (18872)------------------------------ 19.25/3.29 % (18872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.25/3.29 % (18872)Termination reason: Unknown 19.25/3.29 % (18872)Termination phase: Function definition elimination 19.25/3.29 19.25/3.29 % (18872)Memory used [KB]: 2686 19.25/3.29 % (18872)Time elapsed: 0.389 s 19.25/3.29 % (18872)Instructions burned: 1980 (million) 19.25/3.29 % (18872)------------------------------ 19.25/3.29 % (18872)------------------------------ 19.25/3.29 % (18882)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on E---3.1_18608 for (2371ds/865Mi) 19.25/3.30 % (18883)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on E---3.1_18608 for (2371ds/4528Mi) 19.25/3.33 % (18883)Refutation not found, incomplete strategy 19.25/3.33 % (18883)------------------------------ 19.25/3.33 % (18883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.25/3.33 % (18883)Termination reason: Refutation not found, incomplete strategy 19.25/3.33 19.25/3.33 19.25/3.33 % (18883)Memory used [KB]: 2430 19.25/3.33 % (18883)Time elapsed: 0.031 s 19.25/3.33 % (18883)Instructions burned: 115 (million) 19.25/3.33 % (18883)------------------------------ 19.25/3.33 % (18883)------------------------------ 19.25/3.33 % (18880)Refutation not found, incomplete strategy 19.25/3.33 % (18880)------------------------------ 19.25/3.33 % (18880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.25/3.33 % (18880)Termination reason: Refutation not found, incomplete strategy 19.25/3.33 19.25/3.33 19.25/3.33 % (18880)Memory used [KB]: 7419 19.25/3.33 % (18880)Time elapsed: 0.069 s 19.25/3.33 % (18880)Instructions burned: 264 (million) 19.25/3.33 % (18880)------------------------------ 19.25/3.33 % (18880)------------------------------ 19.25/3.33 % (18881)Instruction limit reached! 19.25/3.33 % (18881)------------------------------ 19.25/3.33 % (18881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 19.25/3.33 % (18881)Termination reason: Unknown 19.25/3.33 % (18881)Termination phase: Function definition elimination 19.25/3.33 19.25/3.33 % (18881)Memory used [KB]: 2686 19.25/3.33 % (18881)Time elapsed: 0.065 s 19.25/3.33 % (18881)Instructions burned: 287 (million) 19.25/3.33 % (18881)------------------------------ 19.25/3.33 % (18881)------------------------------ 19.25/3.34 % (18884)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/1001Mi) 19.25/3.34 % (18885)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/102Mi) 19.25/3.34 % (18886)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/952Mi) 20.11/3.36 % (18885)Instruction limit reached! 20.11/3.36 % (18885)------------------------------ 20.11/3.36 % (18885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.11/3.36 % (18885)Termination reason: Unknown 20.11/3.36 % (18885)Termination phase: Property scanning 20.11/3.36 20.11/3.36 % (18885)Memory used [KB]: 2558 20.11/3.36 % (18885)Time elapsed: 0.027 s 20.11/3.36 % (18885)Instructions burned: 106 (million) 20.11/3.36 % (18885)------------------------------ 20.11/3.36 % (18885)------------------------------ 20.11/3.37 % (18887)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/578Mi) 20.76/3.40 % (18876)Instruction limit reached! 20.76/3.40 % (18876)------------------------------ 20.76/3.40 % (18876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.76/3.40 % (18876)Termination reason: Unknown 20.76/3.40 % (18876)Termination phase: Function definition elimination 20.76/3.40 20.76/3.40 % (18876)Memory used [KB]: 2686 20.76/3.40 % (18876)Time elapsed: 0.336 s 20.76/3.40 % (18876)Instructions burned: 1672 (million) 20.76/3.40 % (18876)------------------------------ 20.76/3.40 % (18876)------------------------------ 20.76/3.41 % (18888)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/643Mi) 20.76/3.42 % (18863)Instruction limit reached! 20.76/3.42 % (18863)------------------------------ 20.76/3.42 % (18863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 20.76/3.42 % (18863)Termination reason: Unknown 20.76/3.42 % (18863)Termination phase: Function definition elimination 20.76/3.42 20.76/3.42 % (18863)Memory used [KB]: 2686 20.76/3.42 % (18863)Time elapsed: 0.682 s 20.76/3.42 % (18863)Instructions burned: 3374 (million) 20.76/3.42 % (18863)------------------------------ 20.76/3.42 % (18863)------------------------------ 20.98/3.43 % (18889)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on E---3.1_18608 for (2370ds/865Mi) 21.06/3.47 % (18882)Instruction limit reached! 21.06/3.47 % (18882)------------------------------ 21.06/3.47 % (18882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.06/3.47 % (18882)Termination reason: Unknown 21.06/3.47 % (18882)Termination phase: Function definition elimination 21.06/3.47 21.06/3.47 % (18882)Memory used [KB]: 2686 21.06/3.47 % (18882)Time elapsed: 0.177 s 21.06/3.47 % (18882)Instructions burned: 865 (million) 21.06/3.47 % (18882)------------------------------ 21.06/3.47 % (18882)------------------------------ 21.06/3.48 % (18890)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on E---3.1_18608 for (2369ds/1174Mi) 21.37/3.53 % (18887)Instruction limit reached! 21.37/3.53 % (18887)------------------------------ 21.37/3.53 % (18887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.37/3.53 % (18887)Termination reason: Unknown 21.37/3.53 % (18887)Termination phase: Saturation 21.37/3.53 21.37/3.53 % (18887)Memory used [KB]: 8059 21.37/3.53 % (18887)Time elapsed: 0.157 s 21.37/3.53 % (18887)Instructions burned: 580 (million) 21.37/3.53 % (18887)------------------------------ 21.37/3.53 % (18887)------------------------------ 21.37/3.54 % (18886)Instruction limit reached! 21.37/3.54 % (18886)------------------------------ 21.37/3.54 % (18886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.37/3.54 % (18886)Termination reason: Unknown 21.37/3.54 % (18886)Termination phase: Function definition elimination 21.37/3.54 21.37/3.54 % (18886)Memory used [KB]: 2686 21.37/3.54 % (18886)Time elapsed: 0.198 s 21.37/3.54 % (18886)Instructions burned: 953 (million) 21.37/3.54 % (18886)------------------------------ 21.37/3.54 % (18886)------------------------------ 21.37/3.54 % (18891)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/644Mi) 21.37/3.54 % (18884)Instruction limit reached! 21.37/3.54 % (18884)------------------------------ 21.37/3.54 % (18884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.37/3.54 % (18884)Termination reason: Unknown 21.37/3.54 % (18884)Termination phase: Function definition elimination 21.37/3.54 21.37/3.54 % (18884)Memory used [KB]: 2686 21.37/3.54 % (18884)Time elapsed: 0.204 s 21.37/3.54 % (18884)Instructions burned: 1001 (million) 21.37/3.54 % (18884)------------------------------ 21.37/3.54 % (18884)------------------------------ 21.37/3.54 % (18888)Instruction limit reached! 21.37/3.54 % (18888)------------------------------ 21.37/3.54 % (18888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.37/3.54 % (18888)Termination reason: Unknown 21.37/3.54 % (18888)Termination phase: Function definition elimination 21.37/3.54 21.37/3.54 % (18888)Memory used [KB]: 2686 21.37/3.54 % (18888)Time elapsed: 0.135 s 21.37/3.54 % (18888)Instructions burned: 645 (million) 21.37/3.54 % (18888)------------------------------ 21.37/3.54 % (18888)------------------------------ 21.37/3.55 % (18892)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/1201Mi) 21.37/3.55 % (18893)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/1046Mi) 21.37/3.55 % (18894)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/222Mi) 21.67/3.60 % (18894)Instruction limit reached! 21.67/3.60 % (18894)------------------------------ 21.67/3.60 % (18894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.67/3.60 % (18894)Termination reason: Unknown 21.67/3.60 % (18894)Termination phase: Function definition elimination 21.67/3.60 21.67/3.60 % (18894)Memory used [KB]: 2686 21.67/3.60 % (18894)Time elapsed: 0.052 s 21.67/3.60 % (18894)Instructions burned: 222 (million) 21.67/3.60 % (18894)------------------------------ 21.67/3.60 % (18894)------------------------------ 21.67/3.61 % (18889)Instruction limit reached! 21.67/3.61 % (18889)------------------------------ 21.67/3.61 % (18889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.67/3.61 % (18889)Termination reason: Unknown 21.67/3.61 % (18889)Termination phase: Function definition elimination 21.67/3.61 21.67/3.61 % (18889)Memory used [KB]: 2686 21.67/3.61 % (18889)Time elapsed: 0.180 s 21.67/3.61 % (18889)Instructions burned: 868 (million) 21.67/3.61 % (18889)------------------------------ 21.67/3.61 % (18889)------------------------------ 21.67/3.61 % (18895)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/68Mi) 21.67/3.62 % (18896)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on E---3.1_18608 for (2368ds/454Mi) 21.67/3.63 % (18895)Instruction limit reached! 21.67/3.63 % (18895)------------------------------ 21.67/3.63 % (18895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 21.67/3.63 % (18895)Termination reason: Unknown 21.67/3.63 % (18895)Termination phase: Property scanning 21.67/3.63 21.67/3.63 % (18895)Memory used [KB]: 2430 21.67/3.63 % (18895)Time elapsed: 0.019 s 21.67/3.63 % (18895)Instructions burned: 69 (million) 21.67/3.63 % (18895)------------------------------ 21.67/3.63 % (18895)------------------------------ 21.67/3.64 % (18897)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on E---3.1_18608 for (2367ds/360Mi) 22.03/3.67 % (18891)Instruction limit reached! 22.03/3.67 % (18891)------------------------------ 22.03/3.67 % (18891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.03/3.67 % (18891)Termination reason: Unknown 22.03/3.67 % (18891)Termination phase: Function definition elimination 22.03/3.67 22.03/3.67 % (18891)Memory used [KB]: 2686 22.03/3.67 % (18891)Time elapsed: 0.135 s 22.03/3.67 % (18891)Instructions burned: 646 (million) 22.03/3.67 % (18891)------------------------------ 22.03/3.67 % (18891)------------------------------ 22.20/3.68 % (18898)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on E---3.1_18608 for (2367ds/157Mi) 22.20/3.71 % (18890)Instruction limit reached! 22.20/3.71 % (18890)------------------------------ 22.20/3.71 % (18890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.20/3.71 % (18890)Termination reason: Unknown 22.20/3.71 % (18890)Termination phase: Function definition elimination 22.20/3.71 22.20/3.71 % (18890)Memory used [KB]: 2686 22.20/3.71 % (18890)Time elapsed: 0.238 s 22.20/3.71 % (18890)Instructions burned: 1176 (million) 22.20/3.71 % (18890)------------------------------ 22.20/3.71 % (18890)------------------------------ 22.20/3.72 % (18896)Instruction limit reached! 22.20/3.72 % (18896)------------------------------ 22.20/3.72 % (18896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.20/3.72 % (18896)Termination reason: Unknown 22.20/3.72 % (18896)Termination phase: Function definition elimination 22.20/3.72 22.20/3.72 % (18896)Memory used [KB]: 2686 22.20/3.72 % (18896)Time elapsed: 0.097 s 22.20/3.72 % (18896)Instructions burned: 454 (million) 22.20/3.72 % (18896)------------------------------ 22.20/3.72 % (18896)------------------------------ 22.20/3.72 % (18897)Instruction limit reached! 22.20/3.72 % (18897)------------------------------ 22.20/3.72 % (18897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.20/3.72 % (18897)Termination reason: Unknown 22.20/3.72 % (18897)Termination phase: Function definition elimination 22.20/3.72 22.20/3.72 % (18897)Memory used [KB]: 2686 22.20/3.72 % (18897)Time elapsed: 0.078 s 22.20/3.72 % (18897)Instructions burned: 360 (million) 22.20/3.72 % (18897)------------------------------ 22.20/3.72 % (18897)------------------------------ 22.20/3.72 % (18898)Instruction limit reached! 22.20/3.72 % (18898)------------------------------ 22.20/3.72 % (18898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.20/3.72 % (18898)Termination reason: Unknown 22.20/3.72 % (18898)Termination phase: Function definition elimination 22.20/3.72 22.20/3.72 % (18898)Memory used [KB]: 2558 22.20/3.72 % (18898)Time elapsed: 0.040 s 22.20/3.72 % (18898)Instructions burned: 158 (million) 22.20/3.72 % (18898)------------------------------ 22.20/3.72 % (18898)------------------------------ 22.20/3.72 % (18899)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on E---3.1_18608 for (2367ds/5061Mi) 22.73/3.73 % (18900)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/2401Mi) 22.73/3.73 % (18901)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/5798Mi) 22.73/3.73 % (18902)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/346Mi) 22.75/3.77 % (18893)Instruction limit reached! 22.75/3.77 % (18893)------------------------------ 22.75/3.77 % (18893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.75/3.77 % (18893)Termination reason: Unknown 22.75/3.77 % (18893)Termination phase: Function definition elimination 22.75/3.77 22.75/3.77 % (18893)Memory used [KB]: 2686 22.75/3.77 % (18893)Time elapsed: 0.223 s 22.75/3.77 % (18893)Instructions burned: 1047 (million) 22.75/3.77 % (18893)------------------------------ 22.75/3.77 % (18893)------------------------------ 22.75/3.78 % (18903)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/1321Mi) 22.75/3.79 % (18892)Instruction limit reached! 22.75/3.79 % (18892)------------------------------ 22.75/3.79 % (18892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.75/3.79 % (18892)Termination reason: Unknown 22.75/3.79 % (18892)Termination phase: Function definition elimination 22.75/3.79 22.75/3.79 % (18892)Memory used [KB]: 2686 22.75/3.79 % (18892)Time elapsed: 0.241 s 22.75/3.79 % (18892)Instructions burned: 1202 (million) 22.75/3.79 % (18892)------------------------------ 22.75/3.79 % (18892)------------------------------ 22.75/3.80 % (18904)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/1312Mi) 22.75/3.81 % (18902)Instruction limit reached! 22.75/3.81 % (18902)------------------------------ 22.75/3.81 % (18902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 22.75/3.81 % (18902)Termination reason: Unknown 22.75/3.81 % (18902)Termination phase: Function definition elimination 22.75/3.81 22.75/3.81 % (18902)Memory used [KB]: 2686 22.75/3.81 % (18902)Time elapsed: 0.076 s 22.75/3.81 % (18902)Instructions burned: 348 (million) 22.75/3.81 % (18902)------------------------------ 22.75/3.81 % (18902)------------------------------ 23.38/3.82 % (18905)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on E---3.1_18608 for (2366ds/672Mi) 23.38/3.84 % (18903)Refutation not found, incomplete strategy 23.38/3.84 % (18903)------------------------------ 23.38/3.84 % (18903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.38/3.84 % (18903)Termination reason: Refutation not found, incomplete strategy 23.38/3.84 23.38/3.84 23.38/3.84 % (18903)Memory used [KB]: 2942 23.38/3.84 % (18903)Time elapsed: 0.057 s 23.38/3.84 % (18903)Instructions burned: 217 (million) 23.38/3.84 % (18903)------------------------------ 23.38/3.84 % (18903)------------------------------ 23.38/3.85 % (18906)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on E---3.1_18608 for (2365ds/1897Mi) 23.51/3.88 % (18906)Refutation not found, incomplete strategy 23.51/3.88 % (18906)------------------------------ 23.51/3.88 % (18906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 23.51/3.88 % (18906)Termination reason: Refutation not found, incomplete strategy 23.51/3.88 23.51/3.88 23.51/3.88 % (18906)Memory used [KB]: 6908 23.51/3.88 % (18906)Time elapsed: 0.030 s 23.51/3.88 % (18906)Instructions burned: 112 (million) 23.51/3.88 % (18906)------------------------------ 23.51/3.88 % (18906)------------------------------ 23.51/3.89 % (18907)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on E---3.1_18608 for (2365ds/1202Mi) 24.97/4.00 % (18905)Instruction limit reached! 24.97/4.00 % (18905)------------------------------ 24.97/4.00 % (18905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 24.97/4.00 % (18905)Termination reason: Unknown 24.97/4.00 % (18905)Termination phase: Saturation 24.97/4.00 24.97/4.00 % (18905)Memory used [KB]: 7675 24.97/4.00 % (18905)Time elapsed: 0.184 s 24.97/4.00 % (18905)Instructions burned: 674 (million) 24.97/4.00 % (18905)------------------------------ 24.97/4.00 % (18905)------------------------------ 24.97/4.01 % (18908)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on E---3.1_18608 for (2364ds/1493Mi) 25.24/4.05 % (18908)Refutation not found, incomplete strategy 25.24/4.05 % (18908)------------------------------ 25.24/4.05 % (18908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.24/4.05 % (18908)Termination reason: Refutation not found, incomplete strategy 25.24/4.05 25.24/4.05 25.24/4.05 % (18908)Memory used [KB]: 7036 25.24/4.05 % (18908)Time elapsed: 0.038 s 25.24/4.05 % (18908)Instructions burned: 145 (million) 25.24/4.05 % (18908)------------------------------ 25.24/4.05 % (18908)------------------------------ 25.24/4.06 % (18909)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on E---3.1_18608 for (2363ds/7679Mi) 25.24/4.06 % (18904)Instruction limit reached! 25.24/4.06 % (18904)------------------------------ 25.24/4.06 % (18904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.24/4.06 % (18904)Termination reason: Unknown 25.24/4.06 % (18904)Termination phase: Function definition elimination 25.24/4.06 25.24/4.06 % (18904)Memory used [KB]: 2686 25.24/4.06 % (18904)Time elapsed: 0.265 s 25.24/4.06 % (18904)Instructions burned: 1316 (million) 25.24/4.06 % (18904)------------------------------ 25.24/4.06 % (18904)------------------------------ 25.24/4.07 % (18910)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on E---3.1_18608 for (2363ds/340Mi) 25.24/4.10 % (18836)Instruction limit reached! 25.24/4.10 % (18836)------------------------------ 25.24/4.10 % (18836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.24/4.10 % (18836)Termination reason: Unknown 25.24/4.10 % (18836)Termination phase: Saturation 25.24/4.10 25.24/4.10 % (18836)Memory used [KB]: 14200 25.24/4.10 % (18836)Time elapsed: 2.387 s 25.24/4.10 % (18836)Instructions burned: 8251 (million) 25.24/4.10 % (18836)------------------------------ 25.24/4.10 % (18836)------------------------------ 25.63/4.11 % (18911)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on E---3.1_18608 for (2363ds/3672Mi) 25.63/4.15 % (18910)Instruction limit reached! 25.63/4.15 % (18910)------------------------------ 25.63/4.15 % (18910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.63/4.15 % (18910)Termination reason: Unknown 25.63/4.15 % (18910)Termination phase: Function definition elimination 25.63/4.15 25.63/4.15 % (18910)Memory used [KB]: 2686 25.63/4.15 % (18910)Time elapsed: 0.077 s 25.63/4.15 % (18910)Instructions burned: 340 (million) 25.63/4.15 % (18910)------------------------------ 25.63/4.15 % (18910)------------------------------ 25.94/4.15 % (18912)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on E---3.1_18608 for (2362ds/1535Mi) 25.94/4.20 % (18900)Instruction limit reached! 25.94/4.20 % (18900)------------------------------ 25.94/4.20 % (18900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.94/4.20 % (18900)Termination reason: Unknown 25.94/4.20 % (18900)Termination phase: Function definition elimination 25.94/4.20 25.94/4.20 % (18900)Memory used [KB]: 2686 25.94/4.20 % (18900)Time elapsed: 0.474 s 25.94/4.20 % (18900)Instructions burned: 2405 (million) 25.94/4.20 % (18900)------------------------------ 25.94/4.20 % (18900)------------------------------ 25.94/4.21 % (18913)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on E---3.1_18608 for (2362ds/4637Mi) 25.94/4.23 % (18907)Instruction limit reached! 25.94/4.23 % (18907)------------------------------ 25.94/4.23 % (18907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 25.94/4.23 % (18907)Termination reason: Unknown 25.94/4.23 % (18907)Termination phase: Saturation 25.94/4.23 25.94/4.23 % (18907)Memory used [KB]: 3837 25.94/4.23 % (18907)Time elapsed: 0.341 s 25.94/4.23 % (18907)Instructions burned: 1202 (million) 25.94/4.23 % (18907)------------------------------ 25.94/4.23 % (18907)------------------------------ 25.94/4.24 % (18914)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on E---3.1_18608 for (2361ds/3174Mi) 26.56/4.46 % (18912)Instruction limit reached! 26.56/4.46 % (18912)------------------------------ 26.56/4.46 % (18912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 26.56/4.46 % (18912)Termination reason: Unknown 26.56/4.46 % (18912)Termination phase: Function definition elimination 26.56/4.46 26.56/4.46 % (18912)Memory used [KB]: 2942 26.56/4.46 % (18912)Time elapsed: 0.310 s 26.56/4.46 % (18912)Instructions burned: 1539 (million) 26.56/4.46 % (18912)------------------------------ 26.56/4.46 % (18912)------------------------------ 28.27/4.47 % (18915)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on E---3.1_18608 for (2359ds/307Mi) 28.27/4.54 % (18915)Instruction limit reached! 28.27/4.54 % (18915)------------------------------ 28.27/4.54 % (18915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 28.27/4.54 % (18915)Termination reason: Unknown 28.27/4.54 % (18915)Termination phase: Function definition elimination 28.27/4.54 28.27/4.54 % (18915)Memory used [KB]: 2686 28.27/4.54 % (18915)Time elapsed: 0.071 s 28.27/4.54 % (18915)Instructions burned: 310 (million) 28.27/4.54 % (18915)------------------------------ 28.27/4.54 % (18915)------------------------------ 28.27/4.55 % (18916)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on E---3.1_18608 for (2358ds/3619Mi) 29.19/4.61 % (18916)Refutation not found, incomplete strategy 29.19/4.61 % (18916)------------------------------ 29.19/4.61 % (18916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 29.19/4.61 % (18916)Termination reason: Refutation not found, incomplete strategy 29.19/4.61 29.19/4.61 29.19/4.61 % (18916)Memory used [KB]: 7291 29.19/4.61 % (18916)Time elapsed: 0.054 s 29.19/4.61 % (18916)Instructions burned: 205 (million) 29.19/4.61 % (18916)------------------------------ 29.19/4.61 % (18916)------------------------------ 29.19/4.62 % (18917)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on E---3.1_18608 for (2358ds/2325Mi) 29.97/4.75 % (18899)Instruction limit reached! 29.97/4.75 % (18899)------------------------------ 29.97/4.75 % (18899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 29.97/4.75 % (18899)Termination reason: Unknown 29.97/4.75 % (18899)Termination phase: Function definition elimination 29.97/4.75 29.97/4.75 % (18899)Memory used [KB]: 2942 29.97/4.75 % (18899)Time elapsed: 1.007 s 29.97/4.75 % (18899)Instructions burned: 5062 (million) 29.97/4.75 % (18899)------------------------------ 29.97/4.75 % (18899)------------------------------ 29.97/4.75 % (18918)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on E---3.1_18608 for (2356ds/2341Mi) 30.30/4.85 % (18901)Instruction limit reached! 30.30/4.85 % (18901)------------------------------ 30.30/4.85 % (18901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 30.30/4.85 % (18901)Termination reason: Unknown 30.30/4.85 % (18901)Termination phase: Function definition elimination 30.30/4.85 30.30/4.85 % (18901)Memory used [KB]: 2686 30.30/4.85 % (18901)Time elapsed: 1.126 s 30.30/4.85 % (18901)Instructions burned: 5798 (million) 30.30/4.85 % (18901)------------------------------ 30.30/4.85 % (18901)------------------------------ 30.65/4.86 % (18919)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on E---3.1_18608 for (2355ds/7257Mi) 32.66/5.11 % (18914)Instruction limit reached! 32.66/5.11 % (18914)------------------------------ 32.66/5.11 % (18914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 32.66/5.11 % (18914)Termination reason: Unknown 32.66/5.11 % (18914)Termination phase: Saturation 32.66/5.11 32.66/5.11 % (18914)Memory used [KB]: 8187 32.66/5.11 % (18914)Time elapsed: 0.876 s 32.66/5.11 % (18914)Instructions burned: 3176 (million) 32.66/5.11 % (18914)------------------------------ 32.66/5.11 % (18914)------------------------------ 32.66/5.12 % (18920)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on E---3.1_18608 for (2353ds/3710Mi) 32.66/5.16 % (18911)Instruction limit reached! 32.66/5.16 % (18911)------------------------------ 32.66/5.16 % (18911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 32.66/5.16 % (18911)Termination reason: Unknown 32.66/5.16 % (18911)Termination phase: Saturation 32.66/5.16 32.66/5.16 % (18911)Memory used [KB]: 13048 32.66/5.16 % (18911)Time elapsed: 1.054 s 32.66/5.16 % (18911)Instructions burned: 3672 (million) 32.66/5.16 % (18911)------------------------------ 32.66/5.16 % (18911)------------------------------ 33.11/5.17 % (18921)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on E---3.1_18608 for (2352ds/326Mi) 33.42/5.27 % (18921)Instruction limit reached! 33.42/5.27 % (18921)------------------------------ 33.42/5.27 % (18921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 33.42/5.27 % (18921)Termination reason: Unknown 33.42/5.27 % (18921)Termination phase: Saturation 33.42/5.27 33.42/5.27 % (18921)Memory used [KB]: 7675 33.42/5.27 % (18921)Time elapsed: 0.097 s 33.42/5.27 % (18921)Instructions burned: 326 (million) 33.42/5.27 % (18921)------------------------------ 33.42/5.27 % (18921)------------------------------ 33.42/5.27 % (18917)Instruction limit reached! 33.42/5.27 % (18917)------------------------------ 33.42/5.27 % (18917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 33.42/5.27 % (18917)Termination reason: Unknown 33.42/5.27 % (18917)Termination phase: Saturation 33.42/5.27 33.42/5.27 % (18917)Memory used [KB]: 9978 33.42/5.27 % (18917)Time elapsed: 0.652 s 33.42/5.27 % (18917)Instructions burned: 2326 (million) 33.42/5.27 % (18917)------------------------------ 33.42/5.27 % (18917)------------------------------ 33.42/5.27 % (18922)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on E---3.1_18608 for (2351ds/1100Mi) 33.42/5.28 % (18923)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on E---3.1_18608 for (2351ds/406Mi) 34.19/5.39 % (18923)Instruction limit reached! 34.19/5.39 % (18923)------------------------------ 34.19/5.39 % (18923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.19/5.39 % (18923)Termination reason: Unknown 34.19/5.39 % (18923)Termination phase: Saturation 34.19/5.39 34.19/5.39 % (18923)Memory used [KB]: 7931 34.19/5.39 % (18923)Time elapsed: 0.115 s 34.19/5.39 % (18923)Instructions burned: 407 (million) 34.19/5.39 % (18923)------------------------------ 34.19/5.39 % (18923)------------------------------ 34.19/5.40 % (18924)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on E---3.1_18608 for (2350ds/1871Mi) 34.19/5.45 % (18913)Instruction limit reached! 34.19/5.45 % (18913)------------------------------ 34.19/5.45 % (18913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.19/5.45 % (18913)Termination reason: Unknown 34.19/5.45 % (18913)Termination phase: Saturation 34.19/5.45 34.19/5.45 % (18913)Memory used [KB]: 7931 34.19/5.45 % (18913)Time elapsed: 1.236 s 34.19/5.45 % (18913)Instructions burned: 4637 (million) 34.19/5.45 % (18913)------------------------------ 34.19/5.45 % (18913)------------------------------ 34.19/5.45 % (18918)Instruction limit reached! 34.19/5.45 % (18918)------------------------------ 34.19/5.45 % (18918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.19/5.45 % (18918)Termination reason: Unknown 34.19/5.45 % (18918)Termination phase: Saturation 34.19/5.45 34.19/5.45 % (18918)Memory used [KB]: 12153 34.19/5.45 % (18918)Time elapsed: 0.694 s 34.19/5.45 % (18918)Instructions burned: 2343 (million) 34.19/5.45 % (18918)------------------------------ 34.19/5.45 % (18918)------------------------------ 34.19/5.46 % (18925)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on E---3.1_18608 for (2349ds/1194Mi) 34.19/5.46 % (18926)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on E---3.1_18608 for (2349ds/474Mi) 34.64/5.49 % (18922)Instruction limit reached! 34.64/5.49 % (18922)------------------------------ 34.64/5.49 % (18922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.64/5.49 % (18922)Termination reason: Unknown 34.64/5.49 % (18922)Termination phase: Function definition elimination 34.64/5.49 34.64/5.49 % (18922)Memory used [KB]: 2686 34.64/5.49 % (18922)Time elapsed: 0.221 s 34.64/5.49 % (18922)Instructions burned: 1102 (million) 34.64/5.49 % (18922)------------------------------ 34.64/5.49 % (18922)------------------------------ 34.64/5.50 % (18927)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on E---3.1_18608 for (2349ds/3115Mi) 34.98/5.56 % (18926)Instruction limit reached! 34.98/5.56 % (18926)------------------------------ 34.98/5.56 % (18926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 34.98/5.56 % (18926)Termination reason: Unknown 34.98/5.56 % (18926)Termination phase: Function definition elimination 34.98/5.56 34.98/5.56 % (18926)Memory used [KB]: 2686 34.98/5.56 % (18926)Time elapsed: 0.103 s 34.98/5.56 % (18926)Instructions burned: 474 (million) 34.98/5.56 % (18926)------------------------------ 34.98/5.56 % (18926)------------------------------ 34.98/5.57 % (18928)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on E---3.1_18608 for (2348ds/831Mi) 36.84/5.70 % (18925)Instruction limit reached! 36.84/5.70 % (18925)------------------------------ 36.84/5.70 % (18925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 36.84/5.70 % (18925)Termination reason: Unknown 36.84/5.70 % (18925)Termination phase: Function definition elimination 36.84/5.70 36.84/5.70 % (18925)Memory used [KB]: 2686 36.84/5.70 % (18925)Time elapsed: 0.242 s 36.84/5.70 % (18925)Instructions burned: 1194 (million) 36.84/5.70 % (18925)------------------------------ 36.84/5.70 % (18925)------------------------------ 36.84/5.71 % (18929)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on E---3.1_18608 for (2347ds/1188Mi) 36.84/5.76 % (18928)Instruction limit reached! 36.84/5.76 % (18928)------------------------------ 36.84/5.76 % (18928)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 36.84/5.76 % (18928)Termination reason: Unknown 36.84/5.76 % (18928)Termination phase: Function definition elimination 36.84/5.76 36.84/5.76 % (18928)Memory used [KB]: 2686 36.84/5.76 % (18928)Time elapsed: 0.179 s 36.84/5.76 % (18928)Instructions burned: 833 (million) 36.84/5.76 % (18928)------------------------------ 36.84/5.76 % (18928)------------------------------ 36.84/5.77 % (18930)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on E---3.1_18608 for (2346ds/2868Mi) 37.53/5.85 % (18920)Instruction limit reached! 37.53/5.85 % (18920)------------------------------ 37.53/5.85 % (18920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 37.53/5.85 % (18920)Termination reason: Unknown 37.53/5.85 % (18920)Termination phase: Function definition elimination 37.53/5.85 37.53/5.85 % (18920)Memory used [KB]: 2942 37.53/5.85 % (18920)Time elapsed: 0.728 s 37.53/5.85 % (18920)Instructions burned: 3713 (million) 37.53/5.85 % (18920)------------------------------ 37.53/5.85 % (18920)------------------------------ 37.53/5.86 % (18931)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on E---3.1_18608 for (2345ds/1516Mi) 37.96/5.94 % (18929)Instruction limit reached! 37.96/5.94 % (18929)------------------------------ 37.96/5.94 % (18929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 37.96/5.94 % (18929)Termination reason: Unknown 37.96/5.94 % (18929)Termination phase: Function definition elimination 37.96/5.94 37.96/5.94 % (18929)Memory used [KB]: 2686 37.96/5.94 % (18929)Time elapsed: 0.240 s 37.96/5.94 % (18929)Instructions burned: 1189 (million) 37.96/5.94 % (18929)------------------------------ 37.96/5.94 % (18929)------------------------------ 37.96/5.95 % (18924)Instruction limit reached! 37.96/5.95 % (18924)------------------------------ 37.96/5.95 % (18924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 37.96/5.95 % (18924)Termination reason: Unknown 37.96/5.95 % (18924)Termination phase: Saturation 37.96/5.95 37.96/5.95 % (18924)Memory used [KB]: 10618 37.96/5.95 % (18924)Time elapsed: 0.553 s 37.96/5.95 % (18924)Instructions burned: 1874 (million) 37.96/5.95 % (18924)------------------------------ 37.96/5.95 % (18924)------------------------------ 37.96/5.95 % (18932)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on E---3.1_18608 for (2344ds/2321Mi) 37.96/5.96 % (18933)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on E---3.1_18608 for (2344ds/2812Mi) 38.79/6.12 % (18927)Instruction limit reached! 38.79/6.12 % (18927)------------------------------ 38.79/6.12 % (18927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 38.79/6.12 % (18927)Termination reason: Unknown 38.79/6.12 % (18927)Termination phase: Function definition elimination 38.79/6.12 38.79/6.12 % (18927)Memory used [KB]: 2942 38.79/6.12 % (18927)Time elapsed: 0.618 s 38.79/6.12 % (18927)Instructions burned: 3117 (million) 38.79/6.12 % (18927)------------------------------ 38.79/6.12 % (18927)------------------------------ 39.83/6.13 % (18934)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on E---3.1_18608 for (2343ds/4604Mi) 39.83/6.15 % (18909)Instruction limit reached! 39.83/6.15 % (18909)------------------------------ 39.83/6.15 % (18909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 39.83/6.15 % (18909)Termination reason: Unknown 39.83/6.15 % (18909)Termination phase: Saturation 39.83/6.15 39.83/6.15 % (18909)Memory used [KB]: 12153 39.83/6.15 % (18909)Time elapsed: 2.094 s 39.83/6.15 % (18909)Instructions burned: 7679 (million) 39.83/6.15 % (18909)------------------------------ 39.83/6.15 % (18909)------------------------------ 39.83/6.16 % (18935)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on E---3.1_18608 for (2342ds/2678Mi) 40.37/6.30 % (18931)Instruction limit reached! 40.37/6.30 % (18931)------------------------------ 40.37/6.30 % (18931)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.37/6.30 % (18931)Termination reason: Unknown 40.37/6.30 % (18931)Termination phase: Saturation 40.37/6.30 40.37/6.30 % (18931)Memory used [KB]: 9594 40.37/6.30 % (18931)Time elapsed: 0.462 s 40.37/6.30 % (18931)Instructions burned: 1517 (million) 40.37/6.30 % (18931)------------------------------ 40.37/6.30 % (18931)------------------------------ 40.77/6.31 % (18936)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on E---3.1_18608 for (2341ds/643Mi) 40.77/6.34 % (18930)Instruction limit reached! 40.77/6.34 % (18930)------------------------------ 40.77/6.34 % (18930)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 40.77/6.34 % (18930)Termination reason: Unknown 40.77/6.34 % (18930)Termination phase: Function definition elimination 40.77/6.34 40.77/6.34 % (18930)Memory used [KB]: 2942 40.77/6.34 % (18930)Time elapsed: 0.575 s 40.77/6.34 % (18930)Instructions burned: 2869 (million) 40.77/6.34 % (18930)------------------------------ 40.77/6.34 % (18930)------------------------------ 40.77/6.35 % (18937)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on E---3.1_18608 for (2340ds/458Mi) 41.01/6.43 % (18932)Instruction limit reached! 41.01/6.43 % (18932)------------------------------ 41.01/6.43 % (18932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.01/6.43 % (18932)Termination reason: Unknown 41.01/6.43 % (18932)Termination phase: Function definition elimination 41.01/6.43 41.01/6.43 % (18932)Memory used [KB]: 2942 41.01/6.43 % (18932)Time elapsed: 0.470 s 41.01/6.43 % (18932)Instructions burned: 2321 (million) 41.01/6.43 % (18932)------------------------------ 41.01/6.43 % (18932)------------------------------ 41.01/6.44 % (18938)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on E---3.1_18608 for (2339ds/2546Mi) 41.01/6.44 % (18936)Instruction limit reached! 41.01/6.44 % (18936)------------------------------ 41.01/6.44 % (18936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.01/6.44 % (18936)Termination reason: Unknown 41.01/6.44 % (18936)Termination phase: Function definition elimination 41.01/6.44 41.01/6.44 % (18936)Memory used [KB]: 2686 41.01/6.44 % (18936)Time elapsed: 0.136 s 41.01/6.44 % (18936)Instructions burned: 647 (million) 41.01/6.44 % (18936)------------------------------ 41.01/6.44 % (18936)------------------------------ 41.01/6.45 % (18937)Instruction limit reached! 41.01/6.45 % (18937)------------------------------ 41.01/6.45 % (18937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.01/6.45 % (18937)Termination reason: Unknown 41.01/6.45 % (18937)Termination phase: Function definition elimination 41.01/6.45 41.01/6.45 % (18937)Memory used [KB]: 2686 41.01/6.45 % (18937)Time elapsed: 0.099 s 41.01/6.45 % (18937)Instructions burned: 462 (million) 41.01/6.45 % (18937)------------------------------ 41.01/6.45 % (18937)------------------------------ 41.01/6.45 % (18939)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on E---3.1_18608 for (2339ds/1432Mi) 41.01/6.46 % (18940)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on E---3.1_18608 for (2339ds/386Mi) 41.56/6.51 % (18933)Instruction limit reached! 41.56/6.51 % (18933)------------------------------ 41.56/6.51 % (18933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.56/6.51 % (18933)Termination reason: Unknown 41.56/6.51 % (18933)Termination phase: Function definition elimination 41.56/6.51 41.56/6.51 % (18933)Memory used [KB]: 2686 41.56/6.51 % (18933)Time elapsed: 0.553 s 41.56/6.51 % (18933)Instructions burned: 2812 (million) 41.56/6.51 % (18933)------------------------------ 41.56/6.51 % (18933)------------------------------ 41.64/6.52 % (18941)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on E---3.1_18608 for (2338ds/360Mi) 41.65/6.54 % (18940)Instruction limit reached! 41.65/6.54 % (18940)------------------------------ 41.65/6.54 % (18940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.65/6.54 % (18940)Termination reason: Unknown 41.65/6.54 % (18940)Termination phase: Function definition elimination 41.65/6.54 41.65/6.54 % (18940)Memory used [KB]: 2686 41.65/6.54 % (18940)Time elapsed: 0.085 s 41.65/6.54 % (18940)Instructions burned: 391 (million) 41.65/6.54 % (18940)------------------------------ 41.65/6.54 % (18940)------------------------------ 41.65/6.55 % (18942)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on E---3.1_18608 for (2338ds/5446Mi) 41.65/6.60 % (18941)Instruction limit reached! 41.65/6.60 % (18941)------------------------------ 41.65/6.60 % (18941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.65/6.60 % (18941)Termination reason: Unknown 41.65/6.60 % (18941)Termination phase: Function definition elimination 41.65/6.60 41.65/6.60 % (18941)Memory used [KB]: 2686 41.65/6.60 % (18941)Time elapsed: 0.079 s 41.65/6.60 % (18941)Instructions burned: 362 (million) 41.65/6.60 % (18941)------------------------------ 41.65/6.60 % (18941)------------------------------ 41.90/6.61 % (18943)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on E---3.1_18608 for (2338ds/2573Mi) 41.97/6.69 % (18935)Instruction limit reached! 41.97/6.69 % (18935)------------------------------ 41.97/6.69 % (18935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.97/6.69 % (18935)Termination reason: Unknown 41.97/6.69 % (18935)Termination phase: Function definition elimination 41.97/6.69 41.97/6.69 % (18935)Memory used [KB]: 2942 41.97/6.69 % (18935)Time elapsed: 0.528 s 41.97/6.69 % (18935)Instructions burned: 2682 (million) 41.97/6.69 % (18935)------------------------------ 41.97/6.69 % (18935)------------------------------ 41.97/6.70 % (18944)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=2655:si=on:rtra=on_0 on E---3.1_18608 for (2337ds/2655Mi) 41.97/6.71 % (18919)Refutation not found, non-redundant clauses discarded% (18919)------------------------------ 41.97/6.71 % (18919)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.97/6.71 % (18919)Termination reason: Refutation not found, non-redundant clauses discarded 41.97/6.71 41.97/6.71 % (18919)Memory used [KB]: 19573 41.97/6.71 % (18919)Time elapsed: 1.850 s 41.97/6.71 % (18919)Instructions burned: 7203 (million) 41.97/6.71 % (18919)------------------------------ 41.97/6.71 % (18919)------------------------------ 41.97/6.72 % (18945)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on E---3.1_18608 for (2336ds/2781Mi) 41.97/6.75 % (18939)Instruction limit reached! 41.97/6.75 % (18939)------------------------------ 41.97/6.75 % (18939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 41.97/6.75 % (18939)Termination reason: Unknown 41.97/6.75 % (18939)Termination phase: Function definition elimination 41.97/6.75 41.97/6.75 % (18939)Memory used [KB]: 2686 41.97/6.75 % (18939)Time elapsed: 0.297 s 41.97/6.75 % (18939)Instructions burned: 1432 (million) 41.97/6.75 % (18939)------------------------------ 41.97/6.75 % (18939)------------------------------ 41.97/6.76 % (18946)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on E---3.1_18608 for (2336ds/307Mi) 44.54/6.82 % (18946)Instruction limit reached! 44.54/6.82 % (18946)------------------------------ 44.54/6.82 % (18946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 44.54/6.82 % (18946)Termination reason: Unknown 44.54/6.82 % (18946)Termination phase: Function definition elimination 44.54/6.82 44.54/6.82 % (18946)Memory used [KB]: 2686 44.54/6.82 % (18946)Time elapsed: 0.069 s 44.54/6.82 % (18946)Instructions burned: 309 (million) 44.54/6.82 % (18946)------------------------------ 44.54/6.82 % (18946)------------------------------ 44.76/6.83 % (18947)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on E---3.1_18608 for (2335ds/1548Mi) 45.21/6.95 % (18938)Instruction limit reached! 45.21/6.95 % (18938)------------------------------ 45.21/6.95 % (18938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 45.21/6.95 % (18938)Termination reason: Unknown 45.21/6.95 % (18938)Termination phase: Function definition elimination 45.21/6.95 45.21/6.95 % (18938)Memory used [KB]: 2686 45.21/6.95 % (18938)Time elapsed: 0.511 s 45.21/6.95 % (18938)Instructions burned: 2547 (million) 45.21/6.95 % (18938)------------------------------ 45.21/6.95 % (18938)------------------------------ 45.57/6.96 % (18948)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on E---3.1_18608 for (2334ds/5214Mi) 46.20/7.12 % (18943)Instruction limit reached! 46.20/7.12 % (18943)------------------------------ 46.20/7.12 % (18943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.20/7.12 % (18943)Termination reason: Unknown 46.20/7.12 % (18943)Termination phase: Function definition elimination 46.20/7.12 46.20/7.12 % (18943)Memory used [KB]: 2942 46.20/7.12 % (18943)Time elapsed: 0.510 s 46.20/7.12 % (18943)Instructions burned: 2573 (million) 46.20/7.12 % (18943)------------------------------ 46.20/7.12 % (18943)------------------------------ 46.42/7.13 % (18949)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on E---3.1_18608 for (2332ds/3201Mi) 46.70/7.22 % (18944)Instruction limit reached! 46.70/7.22 % (18944)------------------------------ 46.70/7.22 % (18944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.70/7.22 % (18944)Termination reason: Unknown 46.70/7.22 % (18944)Termination phase: Function definition elimination 46.70/7.22 46.70/7.22 % (18944)Memory used [KB]: 2942 46.70/7.22 % (18944)Time elapsed: 0.522 s 46.70/7.22 % (18944)Instructions burned: 2659 (million) 46.70/7.22 % (18944)------------------------------ 46.70/7.22 % (18944)------------------------------ 46.70/7.23 % (18950)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=454:si=on:rtra=on_0 on E---3.1_18608 for (2331ds/454Mi) 46.90/7.27 % (18945)Instruction limit reached! 46.90/7.27 % (18945)------------------------------ 46.90/7.27 % (18945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.90/7.27 % (18945)Termination reason: Unknown 46.90/7.27 % (18945)Termination phase: Function definition elimination 46.90/7.27 46.90/7.27 % (18945)Memory used [KB]: 2686 46.90/7.27 % (18945)Time elapsed: 0.547 s 46.90/7.27 % (18945)Instructions burned: 2782 (million) 46.90/7.27 % (18945)------------------------------ 46.90/7.27 % (18945)------------------------------ 46.90/7.28 % (18951)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on E---3.1_18608 for (2331ds/3049Mi) 46.90/7.28 % (18947)Instruction limit reached! 46.90/7.28 % (18947)------------------------------ 46.90/7.28 % (18947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.90/7.28 % (18947)Termination reason: Unknown 46.90/7.28 % (18947)Termination phase: Saturation 46.90/7.28 46.90/7.28 % (18947)Memory used [KB]: 9338 46.90/7.28 % (18947)Time elapsed: 0.447 s 46.90/7.28 % (18947)Instructions burned: 1548 (million) 46.90/7.28 % (18947)------------------------------ 46.90/7.28 % (18947)------------------------------ 46.90/7.29 % (18952)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on E---3.1_18608 for (2331ds/7311Mi) 46.90/7.32 % (18950)Instruction limit reached! 46.90/7.32 % (18950)------------------------------ 46.90/7.32 % (18950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 46.90/7.32 % (18950)Termination reason: Unknown 46.90/7.32 % (18950)Termination phase: Function definition elimination 46.90/7.32 46.90/7.32 % (18950)Memory used [KB]: 2686 46.90/7.32 % (18950)Time elapsed: 0.097 s 46.90/7.32 % (18950)Instructions burned: 455 (million) 46.90/7.32 % (18950)------------------------------ 46.90/7.32 % (18950)------------------------------ 46.90/7.33 % (18953)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on E---3.1_18608 for (2330ds/6804Mi) 48.50/7.38 % (18953)Refutation not found, incomplete strategy 48.50/7.38 % (18953)------------------------------ 48.50/7.38 % (18953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 48.50/7.38 % (18953)Termination reason: Refutation not found, incomplete strategy 48.50/7.38 48.50/7.38 48.50/7.38 % (18953)Memory used [KB]: 7291 48.50/7.38 % (18953)Time elapsed: 0.054 s 48.50/7.38 % (18953)Instructions burned: 205 (million) 48.50/7.38 % (18953)------------------------------ 48.50/7.38 % (18953)------------------------------ 48.50/7.39 % (18954)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on E---3.1_18608 for (2330ds/1683Mi) 48.72/7.40 % (18934)Instruction limit reached! 48.72/7.40 % (18934)------------------------------ 48.72/7.40 % (18934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 48.72/7.40 % (18934)Termination reason: Unknown 48.72/7.40 % (18934)Termination phase: Saturation 48.72/7.40 48.72/7.40 % (18934)Memory used [KB]: 10618 48.72/7.40 % (18934)Time elapsed: 1.288 s 48.72/7.40 % (18934)Instructions burned: 4606 (million) 48.72/7.40 % (18934)------------------------------ 48.72/7.40 % (18934)------------------------------ 48.72/7.41 % (18955)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on E---3.1_18608 for (2330ds/4688Mi) 49.72/7.61 % (18942)Instruction limit reached! 49.72/7.61 % (18942)------------------------------ 49.72/7.61 % (18942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 49.72/7.61 % (18942)Termination reason: Unknown 49.72/7.61 % (18942)Termination phase: Function definition elimination 49.72/7.61 49.72/7.61 % (18942)Memory used [KB]: 2942 49.72/7.61 % (18942)Time elapsed: 1.061 s 49.72/7.61 % (18942)Instructions burned: 5448 (million) 49.72/7.61 % (18942)------------------------------ 49.72/7.61 % (18942)------------------------------ 49.72/7.62 % (18956)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on E---3.1_18608 for (2328ds/2207Mi) 50.33/7.78 % (18949)Instruction limit reached! 50.33/7.78 % (18949)------------------------------ 50.33/7.78 % (18949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 50.33/7.78 % (18949)Termination reason: Unknown 50.33/7.78 % (18949)Termination phase: Function definition elimination 50.33/7.78 50.33/7.78 % (18949)Memory used [KB]: 2686 50.33/7.78 % (18949)Time elapsed: 0.643 s 50.33/7.78 % (18949)Instructions burned: 3205 (million) 50.33/7.78 % (18949)------------------------------ 50.33/7.78 % (18949)------------------------------ 50.33/7.79 % (18957)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=8216:si=on:rtra=on_0 on E---3.1_18608 for (2326ds/8216Mi) 50.66/7.88 % (18951)Instruction limit reached! 50.66/7.88 % (18951)------------------------------ 50.66/7.88 % (18951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 50.66/7.88 % (18951)Termination reason: Unknown 50.66/7.88 % (18951)Termination phase: Function definition elimination 50.66/7.88 50.66/7.88 % (18951)Memory used [KB]: 2686 50.66/7.88 % (18951)Time elapsed: 0.599 s 50.66/7.88 % (18951)Instructions burned: 3053 (million) 50.66/7.88 % (18951)------------------------------ 50.66/7.88 % (18951)------------------------------ 50.66/7.88 % (18954)Instruction limit reached! 50.66/7.88 % (18954)------------------------------ 50.66/7.88 % (18954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 50.66/7.88 % (18954)Termination reason: Unknown 50.66/7.88 % (18954)Termination phase: Saturation 50.66/7.88 50.66/7.88 % (18954)Memory used [KB]: 9338 50.66/7.88 % (18954)Time elapsed: 0.486 s 50.66/7.88 % (18954)Instructions burned: 1684 (million) 50.66/7.88 % (18954)------------------------------ 50.66/7.88 % (18954)------------------------------ 50.66/7.89 % (18958)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on E---3.1_18608 for (2325ds/430Mi) 50.66/7.89 % (18959)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on E---3.1_18608 for (2325ds/2012Mi) 52.67/7.98 % (18958)Instruction limit reached! 52.67/7.98 % (18958)------------------------------ 52.67/7.98 % (18958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 52.67/7.98 % (18958)Termination reason: Unknown 52.67/7.98 % (18958)Termination phase: Function definition elimination 52.67/7.98 52.67/7.98 % (18958)Memory used [KB]: 2686 52.67/7.98 % (18958)Time elapsed: 0.092 s 52.67/7.98 % (18958)Instructions burned: 432 (million) 52.67/7.98 % (18958)------------------------------ 52.67/7.98 % (18958)------------------------------ 52.67/7.98 % (18948)Instruction limit reached! 52.67/7.98 % (18948)------------------------------ 52.67/7.98 % (18948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 52.67/7.98 % (18948)Termination reason: Unknown 52.67/7.98 % (18948)Termination phase: Function definition elimination 52.67/7.98 52.67/7.98 % (18948)Memory used [KB]: 2686 52.67/7.98 % (18948)Time elapsed: 1.018 s 52.67/7.98 % (18948)Instructions burned: 5217 (million) 52.67/7.98 % (18948)------------------------------ 52.67/7.98 % (18948)------------------------------ 52.67/7.99 % (18960)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on E---3.1_18608 for (2324ds/631Mi) 52.67/7.99 % (18961)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on E---3.1_18608 for (2324ds/8785Mi) 53.10/8.06 % (18956)Instruction limit reached! 53.10/8.06 % (18956)------------------------------ 53.10/8.06 % (18956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 53.10/8.06 % (18956)Termination reason: Unknown 53.10/8.06 % (18956)Termination phase: Function definition elimination 53.10/8.06 53.10/8.06 % (18956)Memory used [KB]: 2686 53.10/8.06 % (18956)Time elapsed: 0.436 s 53.10/8.06 % (18956)Instructions burned: 2209 (million) 53.10/8.06 % (18956)------------------------------ 53.10/8.06 % (18956)------------------------------ 53.10/8.07 % (18962)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on E---3.1_18608 for (2323ds/739Mi) 53.10/8.12 % (18960)Instruction limit reached! 53.10/8.12 % (18960)------------------------------ 53.10/8.12 % (18960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 53.10/8.12 % (18960)Termination reason: Unknown 53.10/8.12 % (18960)Termination phase: Function definition elimination 53.10/8.12 53.10/8.12 % (18960)Memory used [KB]: 2686 53.10/8.12 % (18960)Time elapsed: 0.133 s 53.10/8.12 % (18960)Instructions burned: 635 (million) 53.10/8.12 % (18960)------------------------------ 53.10/8.12 % (18960)------------------------------ 53.63/8.13 % (18963)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on E---3.1_18608 for (2323ds/5473Mi) 54.16/8.28 % (18962)Instruction limit reached! 54.16/8.28 % (18962)------------------------------ 54.16/8.28 % (18962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.16/8.28 % (18962)Termination reason: Unknown 54.16/8.28 % (18962)Termination phase: Saturation 54.16/8.28 54.16/8.28 % (18962)Memory used [KB]: 8443 54.16/8.28 % (18962)Time elapsed: 0.215 s 54.16/8.28 % (18962)Instructions burned: 739 (million) 54.16/8.28 % (18962)------------------------------ 54.16/8.28 % (18962)------------------------------ 54.16/8.29 % (18959)Instruction limit reached! 54.16/8.29 % (18959)------------------------------ 54.16/8.29 % (18959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.16/8.29 % (18959)Termination reason: Unknown 54.16/8.29 % (18959)Termination phase: Function definition elimination 54.16/8.29 54.16/8.29 % (18959)Memory used [KB]: 2942 54.16/8.29 % (18959)Time elapsed: 0.399 s 54.16/8.29 % (18959)Instructions burned: 2015 (million) 54.16/8.29 % (18959)------------------------------ 54.16/8.29 % (18959)------------------------------ 54.16/8.29 % (18964)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on E---3.1_18608 for (2321ds/43570Mi) 54.16/8.30 % (18965)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on E---3.1_18608 for (2321ds/8382Mi) 54.53/8.32 % (18964)Refutation not found, incomplete strategy 54.53/8.32 % (18964)------------------------------ 54.53/8.32 % (18964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.53/8.32 % (18964)Termination reason: Refutation not found, incomplete strategy 54.53/8.32 54.53/8.32 54.53/8.32 % (18964)Memory used [KB]: 6908 54.53/8.32 % (18964)Time elapsed: 0.030 s 54.53/8.32 % (18964)Instructions burned: 111 (million) 54.53/8.32 % (18964)------------------------------ 54.53/8.32 % (18964)------------------------------ 54.53/8.33 % (18966)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on E---3.1_18608 for (2321ds/407Mi) 54.69/8.35 % (18955)Instruction limit reached! 54.69/8.35 % (18955)------------------------------ 54.69/8.35 % (18955)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.69/8.35 % (18955)Termination reason: Unknown 54.69/8.35 % (18955)Termination phase: Function definition elimination 54.69/8.35 54.69/8.35 % (18955)Memory used [KB]: 2686 54.69/8.35 % (18955)Time elapsed: 0.932 s 54.69/8.35 % (18955)Instructions burned: 4690 (million) 54.69/8.35 % (18955)------------------------------ 54.69/8.35 % (18955)------------------------------ 54.69/8.36 % (18967)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on E---3.1_18608 for (2320ds/2971Mi) 54.69/8.42 % (18966)Instruction limit reached! 54.69/8.42 % (18966)------------------------------ 54.69/8.42 % (18966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.69/8.42 % (18966)Termination reason: Unknown 54.69/8.42 % (18966)Termination phase: Function definition elimination 54.69/8.42 54.69/8.42 % (18966)Memory used [KB]: 2686 54.69/8.42 % (18966)Time elapsed: 0.088 s 54.69/8.42 % (18966)Instructions burned: 407 (million) 54.69/8.42 % (18966)------------------------------ 54.69/8.42 % (18966)------------------------------ 54.69/8.43 % (18968)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on E---3.1_18608 for (2320ds/9822Mi) 54.96/8.48 % (18968)Refutation not found, incomplete strategy 54.96/8.48 % (18968)------------------------------ 54.96/8.48 % (18968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 54.96/8.48 % (18968)Termination reason: Refutation not found, incomplete strategy 54.96/8.48 54.96/8.48 54.96/8.48 % (18968)Memory used [KB]: 7419 54.96/8.48 % (18968)Time elapsed: 0.059 s 54.96/8.48 % (18968)Instructions burned: 222 (million) 54.96/8.48 % (18968)------------------------------ 54.96/8.48 % (18968)------------------------------ 56.36/8.50 % (18969)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on E---3.1_18608 for (2319ds/8425Mi) 59.43/8.97 % (18967)Instruction limit reached! 59.43/8.97 % (18967)------------------------------ 59.43/8.97 % (18967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 59.43/8.97 % (18967)Termination reason: Unknown 59.43/8.97 % (18967)Termination phase: Function definition elimination 59.43/8.97 59.43/8.97 % (18967)Memory used [KB]: 2942 59.43/8.97 % (18967)Time elapsed: 0.614 s 59.43/8.97 % (18967)Instructions burned: 2972 (million) 59.43/8.97 % (18967)------------------------------ 59.43/8.97 % (18967)------------------------------ 59.43/8.98 % (18970)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on E---3.1_18608 for (2314ds/3107Mi) 61.13/9.20 % (18963)Instruction limit reached! 61.13/9.20 % (18963)------------------------------ 61.13/9.20 % (18963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 61.13/9.20 % (18963)Termination reason: Unknown 61.13/9.20 % (18963)Termination phase: Function definition elimination 61.13/9.20 61.13/9.20 % (18963)Memory used [KB]: 2686 61.13/9.20 % (18963)Time elapsed: 1.070 s 61.13/9.20 % (18963)Instructions burned: 5478 (million) 61.13/9.20 % (18963)------------------------------ 61.13/9.20 % (18963)------------------------------ 61.29/9.21 % (18971)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on E---3.1_18608 for (2312ds/7967Mi) 61.44/9.22 % (18952)Refutation not found, non-redundant clauses discarded% (18952)------------------------------ 61.44/9.22 % (18952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 61.44/9.22 % (18952)Termination reason: Refutation not found, non-redundant clauses discarded 61.44/9.22 61.44/9.22 % (18952)Memory used [KB]: 28400 61.44/9.22 % (18952)Time elapsed: 1.933 s 61.44/9.22 % (18952)Instructions burned: 7306 (million) 61.44/9.22 % (18952)------------------------------ 61.44/9.22 % (18952)------------------------------ 61.44/9.23 % (18972)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on E---3.1_18608 for (2311ds/3629Mi) 63.60/9.61 % (18970)Instruction limit reached! 63.60/9.61 % (18970)------------------------------ 63.60/9.61 % (18970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 63.60/9.61 % (18970)Termination reason: Unknown 63.60/9.61 % (18970)Termination phase: Function definition elimination 63.60/9.61 63.60/9.61 % (18970)Memory used [KB]: 2686 63.60/9.61 % (18970)Time elapsed: 0.620 s 63.60/9.61 % (18970)Instructions burned: 3108 (million) 63.60/9.61 % (18970)------------------------------ 63.60/9.61 % (18970)------------------------------ 63.60/9.62 % (18973)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on E---3.1_18608 for (2307ds/939Mi) 64.73/9.72 % (18961)Instruction limit reached! 64.73/9.72 % (18961)------------------------------ 64.73/9.72 % (18961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 64.73/9.72 % (18961)Termination reason: Unknown 64.73/9.72 % (18961)Termination phase: Function definition elimination 64.73/9.72 64.73/9.72 % (18961)Memory used [KB]: 2942 64.73/9.72 % (18961)Time elapsed: 1.726 s 64.73/9.72 % (18961)Instructions burned: 8788 (million) 64.73/9.72 % (18961)------------------------------ 64.73/9.72 % (18961)------------------------------ 64.73/9.73 % (18974)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on E---3.1_18608 for (2306ds/1188Mi) 65.09/9.81 % (18973)Instruction limit reached! 65.09/9.81 % (18973)------------------------------ 65.09/9.81 % (18973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 65.09/9.81 % (18973)Termination reason: Unknown 65.09/9.81 % (18973)Termination phase: Function definition elimination 65.09/9.81 65.09/9.81 % (18973)Memory used [KB]: 2686 65.09/9.81 % (18973)Time elapsed: 0.191 s 65.09/9.81 % (18973)Instructions burned: 940 (million) 65.09/9.81 % (18973)------------------------------ 65.09/9.81 % (18973)------------------------------ 65.09/9.82 % (18975)dis+21_3:2_avsq=on:cbe=off:e2e=on:flr=on:ile=on:nwc=5.0:piset=or:rawr=on:sp=occurrence:i=3205:si=on:rtra=on_0 on E---3.1_18608 for (2305ds/3205Mi) 66.06/9.95 % (18965)Instruction limit reached! 66.06/9.95 % (18965)------------------------------ 66.06/9.95 % (18965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 66.06/9.95 % (18965)Termination reason: Unknown 66.06/9.95 % (18965)Termination phase: Function definition elimination 66.06/9.95 66.06/9.95 % (18965)Memory used [KB]: 2942 66.06/9.95 % (18965)Time elapsed: 1.651 s 66.06/9.95 % (18965)Instructions burned: 8385 (million) 66.06/9.95 % (18965)------------------------------ 66.06/9.95 % (18965)------------------------------ 66.06/9.96 % (18976)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on E---3.1_18608 for (2304ds/865Mi) 66.06/9.97 % (18974)Instruction limit reached! 66.06/9.97 % (18974)------------------------------ 66.06/9.97 % (18974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 66.06/9.97 % (18974)Termination reason: Unknown 66.06/9.97 % (18974)Termination phase: Function definition elimination 66.06/9.97 66.06/9.97 % (18974)Memory used [KB]: 2686 66.06/9.97 % (18974)Time elapsed: 0.244 s 66.06/9.97 % (18974)Instructions burned: 1190 (million) 66.06/9.97 % (18974)------------------------------ 66.06/9.97 % (18974)------------------------------ 66.06/9.98 % (18977)ott+1002_1:1_au=on:bd=off:cbe=off:cha=on:cnfonf=lazy_pi_sigma_gen:fd=off:fe=off:ntd=on:sp=const_frequency:i=7469:si=on:rtra=on_0 on E---3.1_18608 for (2304ds/7469Mi) 66.06/9.99 % (18972)Instruction limit reached! 66.06/9.99 % (18972)------------------------------ 66.06/9.99 % (18972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 66.06/9.99 % (18972)Termination reason: Unknown 66.06/9.99 % (18972)Termination phase: Property scanning 66.06/9.99 66.06/9.99 % (18972)Memory used [KB]: 2942 66.06/9.99 % (18972)Time elapsed: 0.754 s 66.06/9.99 % (18972)Instructions burned: 3630 (million) 66.06/9.99 % (18972)------------------------------ 66.06/9.99 % (18972)------------------------------ 66.06/10.00 % (18978)dis+10_1:10_bd=preordered:e2e=on:fde=none:fe=axiom:hud=3:kws=precedence:nwc=3.0:prag=on:sp=const_max:tgt=full:i=4165:si=on:rtra=on_0 on E---3.1_18608 for (2304ds/4165Mi) 66.85/10.14 % (18976)Instruction limit reached! 66.85/10.14 % (18976)------------------------------ 66.85/10.14 % (18976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 66.85/10.14 % (18976)Termination reason: Unknown 66.85/10.14 % (18976)Termination phase: Function definition elimination 66.85/10.14 66.85/10.14 % (18976)Memory used [KB]: 2686 66.85/10.14 % (18976)Time elapsed: 0.180 s 66.85/10.14 % (18976)Instructions burned: 868 (million) 66.85/10.14 % (18976)------------------------------ 66.85/10.14 % (18976)------------------------------ 66.85/10.15 % (18979)dis+1010_1:1_au=on:avsq=on:cnfonf=lazy_simp:fsr=off:ntd=on:nwc=10.0:sp=reverse_frequency:ss=axioms:st=1.5:i=13468:si=on:rtra=on_0 on E---3.1_18608 for (2302ds/13468Mi) 66.85/10.15 % (18969)Instruction limit reached! 66.85/10.15 % (18969)------------------------------ 66.85/10.15 % (18969)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 66.85/10.15 % (18969)Termination reason: Unknown 66.85/10.15 % (18969)Termination phase: Function definition elimination 66.85/10.15 66.85/10.15 % (18969)Memory used [KB]: 2942 66.85/10.15 % (18969)Time elapsed: 1.651 s 66.85/10.15 % (18969)Instructions burned: 8427 (million) 66.85/10.15 % (18969)------------------------------ 66.85/10.15 % (18969)------------------------------ 66.85/10.16 % (18980)dis+1002_1:1_au=on:bsr=unit_only:cbe=off:fe=off:fsr=off:nm=10:nwc=6.0:plsq=on:plsqc=1:plsqr=32,1:sos=all:i=2635:si=on:rtra=on_0 on E---3.1_18608 for (2302ds/2635Mi) 67.30/10.17 % (18957)Instruction limit reached! 67.30/10.17 % (18957)------------------------------ 67.30/10.17 % (18957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 67.30/10.17 % (18957)Termination reason: Unknown 67.30/10.17 % (18957)Termination phase: Saturation 67.30/10.17 67.30/10.17 % (18957)Memory used [KB]: 14967 67.30/10.17 % (18957)Time elapsed: 2.372 s 67.30/10.17 % (18957)Instructions burned: 8218 (million) 67.30/10.17 % (18957)------------------------------ 67.30/10.17 % (18957)------------------------------ 67.30/10.18 % (18981)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=631:si=on:rtra=on_0 on E---3.1_18608 for (2302ds/631Mi) 68.99/10.31 % (18981)Instruction limit reached! 68.99/10.31 % (18981)------------------------------ 68.99/10.31 % (18981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 68.99/10.31 % (18981)Termination reason: Unknown 68.99/10.31 % (18981)Termination phase: Function definition elimination 68.99/10.31 68.99/10.31 % (18981)Memory used [KB]: 2686 68.99/10.31 % (18981)Time elapsed: 0.133 s 68.99/10.31 % (18981)Instructions burned: 631 (million) 68.99/10.31 % (18981)------------------------------ 68.99/10.31 % (18981)------------------------------ 68.99/10.32 % (18982)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=15557:si=on:rtra=on_0 on E---3.1_18608 for (2301ds/15557Mi) 69.34/10.45 % (18975)Instruction limit reached! 69.34/10.45 % (18975)------------------------------ 69.34/10.45 % (18975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 69.34/10.45 % (18975)Termination reason: Unknown 69.34/10.45 % (18975)Termination phase: Function definition elimination 69.34/10.45 69.34/10.45 % (18975)Memory used [KB]: 2686 69.34/10.45 % (18975)Time elapsed: 0.628 s 69.34/10.45 % (18975)Instructions burned: 3205 (million) 69.34/10.45 % (18975)------------------------------ 69.34/10.45 % (18975)------------------------------ 69.90/10.46 % (18983)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2142:si=on:rtra=on_0 on E---3.1_18608 for (2299ds/2142Mi) 70.93/10.71 % (18980)Instruction limit reached! 70.93/10.71 % (18980)------------------------------ 70.93/10.71 % (18980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 70.93/10.71 % (18980)Termination reason: Unknown 70.93/10.71 % (18980)Termination phase: Function definition elimination 70.93/10.71 70.93/10.71 % (18980)Memory used [KB]: 2686 70.93/10.71 % (18980)Time elapsed: 0.538 s 70.93/10.71 % (18980)Instructions burned: 2638 (million) 70.93/10.71 % (18980)------------------------------ 70.93/10.71 % (18980)------------------------------ 70.93/10.72 % (18984)dis+1002_1:1_aac=none:au=on:bd=off:cnfonf=conj_eager:nwc=5.0:sgt=5:sp=reverse_arity:ss=axioms:i=5624:si=on:rtra=on_0 on E---3.1_18608 for (2297ds/5624Mi) 72.22/10.78 % (18971)Instruction limit reached! 72.22/10.78 % (18971)------------------------------ 72.22/10.78 % (18971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 72.22/10.78 % (18971)Termination reason: Unknown 72.22/10.78 % (18971)Termination phase: Function definition elimination 72.22/10.78 72.22/10.78 % (18971)Memory used [KB]: 2942 72.22/10.78 % (18971)Time elapsed: 1.568 s 72.22/10.78 % (18971)Instructions burned: 7968 (million) 72.22/10.78 % (18971)------------------------------ 72.22/10.78 % (18971)------------------------------ 72.22/10.79 % (18985)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=1665:si=on:rtra=on_0 on E---3.1_18608 for (2296ds/1665Mi) 72.46/10.83 % (18984)Refutation not found, incomplete strategy 72.46/10.83 % (18984)------------------------------ 72.46/10.83 % (18984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 72.46/10.83 % (18984)Termination reason: Refutation not found, incomplete strategy 72.46/10.83 72.46/10.83 72.46/10.83 % (18984)Memory used [KB]: 7419 72.46/10.83 % (18984)Time elapsed: 0.111 s 72.46/10.83 % (18984)Instructions burned: 426 (million) 72.46/10.83 % (18984)------------------------------ 72.46/10.83 % (18984)------------------------------ 72.46/10.84 % (18986)dis+1002_1:1_av=off:prag=on:sd=1:sos=on:sp=occurrence:ss=axioms:i=64912:si=on:rtra=on_0 on E---3.1_18608 for (2295ds/64912Mi) 73.73/11.07 % (18983)Instruction limit reached! 73.73/11.07 % (18983)------------------------------ 73.73/11.07 % (18983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 73.73/11.07 % (18983)Termination reason: Unknown 73.73/11.07 % (18983)Termination phase: Saturation 73.73/11.07 73.73/11.07 % (18983)Memory used [KB]: 12025 73.73/11.07 % (18983)Time elapsed: 0.619 s 73.73/11.07 % (18983)Instructions burned: 2143 (million) 73.73/11.07 % (18983)------------------------------ 73.73/11.07 % (18983)------------------------------ 73.73/11.09 % (18987)lrs+10_1:32_atotf=0.1:avsq=on:bsr=on:cnfonf=lazy_gen:fde=unused:i=7801:si=on:rtra=on_0 on E---3.1_18608 for (2293ds/7801Mi) 73.98/11.11 % (18985)Instruction limit reached! 73.98/11.11 % (18985)------------------------------ 73.98/11.11 % (18985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 73.98/11.11 % (18985)Termination reason: Unknown 73.98/11.11 % (18985)Termination phase: Function definition elimination 73.98/11.11 73.98/11.11 % (18985)Memory used [KB]: 2686 73.98/11.11 % (18985)Time elapsed: 0.328 s 73.98/11.11 % (18985)Instructions burned: 1666 (million) 73.98/11.11 % (18985)------------------------------ 73.98/11.11 % (18985)------------------------------ 73.98/11.12 % (18988)ott+2_1:1_au=on:hfsq=on:hfsqc=5:hfsql=off:nwc=5.0:sd=3:ss=axioms:st=5.0:i=15194:si=on:rtra=on_0 on E---3.1_18608 for (2293ds/15194Mi) 74.84/11.28 % (18978)Instruction limit reached! 74.84/11.28 % (18978)------------------------------ 74.84/11.28 % (18978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 74.84/11.28 % (18978)Termination reason: Unknown 74.84/11.28 % (18978)Termination phase: Saturation 74.84/11.28 74.84/11.28 % (18978)Memory used [KB]: 14967 74.84/11.28 % (18978)Time elapsed: 1.288 s 74.84/11.28 % (18978)Instructions burned: 4167 (million) 74.84/11.28 % (18978)------------------------------ 74.84/11.28 % (18978)------------------------------ 75.06/11.29 % (18989)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=6753:si=on:rtra=on_0 on E---3.1_18608 for (2291ds/6753Mi) 75.06/11.35 % (18989)Refutation not found, incomplete strategy 75.06/11.35 % (18989)------------------------------ 75.06/11.35 % (18989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 75.06/11.35 % (18989)Termination reason: Refutation not found, incomplete strategy 75.06/11.35 75.06/11.35 75.06/11.35 % (18989)Memory used [KB]: 7419 75.06/11.35 % (18989)Time elapsed: 0.058 s 75.06/11.35 % (18989)Instructions burned: 209 (million) 75.06/11.35 % (18989)------------------------------ 75.06/11.35 % (18989)------------------------------ 76.34/11.36 % (18990)lrs+1002_1:28_bd=off:cnfonf=lazy_simp:plsq=on:plsqr=1,1:prag=on:i=1003:si=on:rtra=on_0 on E---3.1_18608 for (2290ds/1003Mi) 76.88/11.46 % (18977)Instruction limit reached! 76.88/11.46 % (18977)------------------------------ 76.88/11.46 % (18977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 76.88/11.46 % (18977)Termination reason: Unknown 76.88/11.46 % (18977)Termination phase: Function definition elimination 76.88/11.46 76.88/11.46 % (18977)Memory used [KB]: 2942 76.88/11.46 % (18977)Time elapsed: 1.471 s 76.88/11.46 % (18977)Instructions burned: 7472 (million) 76.88/11.46 % (18977)------------------------------ 76.88/11.46 % (18977)------------------------------ 76.88/11.47 % (18991)ott-21_5:4_atotf=0.3:e2e=on:hud=15:ins=1:plsq=on:plsqc=1:plsqr=32,1:sp=unary_frequency:tnu=2:i=13018:si=on:rtra=on_0 on E---3.1_18608 for (2289ds/13018Mi) 77.33/11.56 % (18990)Instruction limit reached! 77.33/11.56 % (18990)------------------------------ 77.33/11.56 % (18990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 77.33/11.56 % (18990)Termination reason: Unknown 77.33/11.56 % (18990)Termination phase: Function definition elimination 77.33/11.56 77.33/11.56 % (18990)Memory used [KB]: 2686 77.33/11.56 % (18990)Time elapsed: 0.204 s 77.33/11.56 % (18990)Instructions burned: 1006 (million) 77.33/11.56 % (18990)------------------------------ 77.33/11.56 % (18990)------------------------------ 77.33/11.57 % (18992)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1267:si=on:rtra=on_0 on E---3.1_18608 for (2288ds/1267Mi) 80.04/11.95 % (18992)Instruction limit reached! 80.04/11.95 % (18992)------------------------------ 80.04/11.95 % (18992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 80.04/11.95 % (18992)Termination reason: Unknown 80.04/11.95 % (18992)Termination phase: Saturation 80.04/11.95 80.04/11.95 % (18992)Memory used [KB]: 9338 80.04/11.95 % (18992)Time elapsed: 0.375 s 80.04/11.95 % (18992)Instructions burned: 1269 (million) 80.04/11.95 % (18992)------------------------------ 80.04/11.95 % (18992)------------------------------ 80.51/11.96 % (18993)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=2570:si=on:rtra=on_0 on E---3.1_18608 for (2284ds/2570Mi) 80.99/12.07 % (18988)First to succeed. 80.99/12.09 % (18988)Refutation found. Thanks to Tanya! 80.99/12.09 % SZS status Theorem for E---3.1_18608 80.99/12.09 % SZS output start Proof for E---3.1_18608 80.99/12.09 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 80.99/12.09 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 80.99/12.09 thf(func_def_3, type, eps: ($i > $o) > $i). 80.99/12.09 thf(func_def_4, type, in: $i > $i > $o). 80.99/12.09 thf(func_def_5, type, d_Subq: $i > $i > $o). 80.99/12.09 thf(func_def_7, type, union: $i > $i). 80.99/12.09 thf(func_def_8, type, power: $i > $i). 80.99/12.09 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 80.99/12.09 thf(func_def_10, type, d_Union_closed: $i > $o). 80.99/12.09 thf(func_def_11, type, d_Power_closed: $i > $o). 80.99/12.09 thf(func_def_12, type, d_Repl_closed: $i > $o). 80.99/12.09 thf(func_def_13, type, d_ZF_closed: $i > $o). 80.99/12.09 thf(func_def_14, type, univof: $i > $i). 80.99/12.09 thf(func_def_15, type, if: $o > $i > $i > $i). 80.99/12.09 thf(func_def_16, type, nIn: $i > $i > $o). 80.99/12.09 thf(func_def_17, type, d_UPair: $i > $i > $i). 80.99/12.09 thf(func_def_18, type, d_Sing: $i > $i). 80.99/12.09 thf(func_def_19, type, binunion: $i > $i > $i). 80.99/12.09 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 80.99/12.09 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 80.99/12.09 thf(func_def_23, type, setminus: $i > $i > $i). 80.99/12.09 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 80.99/12.09 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 80.99/12.09 thf(func_def_26, type, ordsucc: $i > $i). 80.99/12.09 thf(func_def_27, type, nat_p: $i > $o). 80.99/12.09 thf(func_def_29, type, d_Inj1: $i > $i). 80.99/12.09 thf(func_def_30, type, d_Inj0: $i > $i). 80.99/12.09 thf(func_def_31, type, d_Unj: $i > $i). 80.99/12.09 thf(func_def_32, type, pair: $i > $i > $i). 80.99/12.09 thf(func_def_33, type, proj0: $i > $i). 80.99/12.09 thf(func_def_34, type, proj1: $i > $i). 80.99/12.09 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 80.99/12.09 thf(func_def_36, type, setprod: $i > $i > $i). 80.99/12.09 thf(func_def_37, type, ap: $i > $i > $i). 80.99/12.09 thf(func_def_38, type, pair_p: $i > $o). 80.99/12.09 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 80.99/12.09 thf(func_def_40, type, imp: $o > $o > $o). 80.99/12.09 thf(func_def_41, type, d_not: $o > $o). 80.99/12.09 thf(func_def_42, type, wel: $o > $o). 80.99/12.09 thf(func_def_44, type, l_ec: $o > $o > $o). 80.99/12.09 thf(func_def_45, type, d_and: $o > $o > $o). 80.99/12.09 thf(func_def_46, type, l_or: $o > $o > $o). 80.99/12.09 thf(func_def_47, type, orec: $o > $o > $o). 80.99/12.09 thf(func_def_48, type, l_iff: $o > $o > $o). 80.99/12.09 thf(func_def_49, type, all: $i > ($i > $o) > $o). 80.99/12.09 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 80.99/12.09 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 80.99/12.09 thf(func_def_52, type, or3: $o > $o > $o > $o). 80.99/12.09 thf(func_def_53, type, and3: $o > $o > $o > $o). 80.99/12.09 thf(func_def_54, type, ec3: $o > $o > $o > $o). 80.99/12.09 thf(func_def_55, type, orec3: $o > $o > $o > $o). 80.99/12.09 thf(func_def_56, type, e_is: $i > $i > $i > $o). 80.99/12.09 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 80.99/12.09 thf(func_def_58, type, one: $i > ($i > $o) > $o). 80.99/12.09 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_60, type, injective: $i > $i > $i > $o). 80.99/12.09 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 80.99/12.09 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_64, type, inverse: $i > $i > $i > $i). 80.99/12.09 thf(func_def_65, type, surjective: $i > $i > $i > $o). 80.99/12.09 thf(func_def_66, type, bijective: $i > $i > $i > $o). 80.99/12.09 thf(func_def_67, type, invf: $i > $i > $i > $i). 80.99/12.09 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 80.99/12.09 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 80.99/12.09 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_72, type, first: $i > $i > $i > $i). 80.99/12.09 thf(func_def_73, type, second: $i > $i > $i > $i). 80.99/12.09 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 80.99/12.09 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 80.99/12.09 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_78, type, wissel: $i > $i > $i > $i). 80.99/12.09 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_80, type, r_ec: $o > $o > $o). 80.99/12.09 thf(func_def_81, type, esti: $i > $i > $i > $o). 80.99/12.09 thf(func_def_82, type, empty: $i > $i > $o). 80.99/12.09 thf(func_def_83, type, nonempty: $i > $i > $o). 80.99/12.09 thf(func_def_84, type, incl: $i > $i > $i > $o). 80.99/12.09 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 80.99/12.09 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 80.99/12.09 thf(func_def_87, type, unmore: $i > $i > $i > $i). 80.99/12.09 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 80.99/12.09 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 80.99/12.09 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 80.99/12.09 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 80.99/12.09 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 80.99/12.09 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 80.99/12.09 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 80.99/12.09 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 80.99/12.09 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 80.99/12.09 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 80.99/12.09 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 80.99/12.09 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 80.99/12.09 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 80.99/12.09 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_103, type, n_is: $i > $i > $o). 80.99/12.09 thf(func_def_104, type, nis: $i > $i > $o). 80.99/12.09 thf(func_def_105, type, n_in: $i > $i > $o). 80.99/12.09 thf(func_def_106, type, n_some: ($i > $o) > $o). 80.99/12.09 thf(func_def_107, type, n_all: ($i > $o) > $o). 80.99/12.09 thf(func_def_108, type, n_one: ($i > $o) > $o). 80.99/12.09 thf(func_def_110, type, cond1: $i > $o). 80.99/12.09 thf(func_def_111, type, cond2: $i > $o). 80.99/12.09 thf(func_def_112, type, i1_s: ($i > $o) > $i). 80.99/12.09 thf(func_def_113, type, d_22_prop1: $i > $o). 80.99/12.09 thf(func_def_114, type, d_23_prop1: $i > $o). 80.99/12.09 thf(func_def_115, type, d_24_prop1: $i > $o). 80.99/12.09 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 80.99/12.09 thf(func_def_117, type, prop3: $i > $i > $i > $o). 80.99/12.09 thf(func_def_118, type, prop4: $i > $o). 80.99/12.09 thf(func_def_119, type, d_24_g: $i > $i). 80.99/12.09 thf(func_def_120, type, plus: $i > $i). 80.99/12.09 thf(func_def_121, type, n_pl: $i > $i > $i). 80.99/12.09 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 80.99/12.09 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 80.99/12.09 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 80.99/12.09 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 80.99/12.09 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 80.99/12.09 thf(func_def_127, type, d_29_ii: $i > $i > $o). 80.99/12.09 thf(func_def_128, type, iii: $i > $i > $o). 80.99/12.09 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 80.99/12.09 thf(func_def_130, type, moreis: $i > $i > $o). 80.99/12.09 thf(func_def_131, type, lessis: $i > $i > $o). 80.99/12.09 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 80.99/12.09 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 80.99/12.09 thf(func_def_134, type, min: ($i > $o) > $i > $o). 80.99/12.09 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 80.99/12.09 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 80.99/12.09 thf(func_def_137, type, d_428_prop4: $i > $o). 80.99/12.09 thf(func_def_139, type, d_428_g: $i > $i). 80.99/12.09 thf(func_def_140, type, times: $i > $i). 80.99/12.09 thf(func_def_141, type, n_ts: $i > $i > $i). 80.99/12.09 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 80.99/12.09 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 80.99/12.09 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 80.99/12.09 thf(func_def_145, type, n_mn: $i > $i > $i). 80.99/12.09 thf(func_def_146, type, d_1to: $i > $i). 80.99/12.09 thf(func_def_147, type, outn: $i > $i > $i). 80.99/12.09 thf(func_def_148, type, inn: $i > $i > $i). 80.99/12.09 thf(func_def_150, type, singlet_u0: $i > $i). 80.99/12.09 thf(func_def_154, type, pair_u0: $i > $i). 80.99/12.09 thf(func_def_155, type, pair1type: $i > $i). 80.99/12.09 thf(func_def_156, type, pair1: $i > $i > $i > $i). 80.99/12.09 thf(func_def_157, type, first1: $i > $i > $i). 80.99/12.09 thf(func_def_158, type, second1: $i > $i > $i). 80.99/12.09 thf(func_def_159, type, pair_q0: $i > $i > $i). 80.99/12.09 thf(func_def_160, type, d_1out: $i > $i). 80.99/12.09 thf(func_def_161, type, xout: $i > $i). 80.99/12.09 thf(func_def_162, type, left1to: $i > $i > $i > $i). 80.99/12.09 thf(func_def_163, type, right1to: $i > $i > $i > $i). 80.99/12.09 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_169, type, n_fr: $i > $i > $i). 80.99/12.09 thf(func_def_170, type, num: $i > $i). 80.99/12.09 thf(func_def_171, type, den: $i > $i). 80.99/12.09 thf(func_def_172, type, n_eq: $i > $i > $o). 80.99/12.09 thf(func_def_173, type, moref: $i > $i > $o). 80.99/12.09 thf(func_def_174, type, lessf: $i > $i > $o). 80.99/12.09 thf(func_def_175, type, moreq: $i > $i > $o). 80.99/12.09 thf(func_def_176, type, lesseq: $i > $i > $o). 80.99/12.09 thf(func_def_177, type, n_pf: $i > $i > $i). 80.99/12.09 thf(func_def_178, type, d_367_vo: $i > $i > $i). 80.99/12.09 thf(func_def_179, type, d_367_w: $i > $i > $i). 80.99/12.09 thf(func_def_198, type, sK0: $i > $i). 80.99/12.09 thf(func_def_199, type, sK1: $i > $i > $i > $i). 80.99/12.09 thf(func_def_200, type, sK2: $i > ($i > $i) > ($i > $i) > $i). 80.99/12.09 thf(func_def_201, type, sK3: ($i > $o) > $i). 80.99/12.09 thf(func_def_202, type, sK4: ($i > $o) > $i). 80.99/12.09 thf(func_def_204, type, sK6: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_205, type, sK7: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_206, type, sK8: $i > $i). 80.99/12.09 thf(func_def_207, type, sK9: $i > $i > $i). 80.99/12.09 thf(func_def_208, type, sK10: $i > $i > $i). 80.99/12.09 thf(func_def_209, type, sK11: $i > ($i > $o) > $i > $i). 80.99/12.09 thf(func_def_210, type, sK12: $i > $i > $i). 80.99/12.09 thf(func_def_211, type, sK13: $i > $i > $i > $i). 80.99/12.09 thf(func_def_212, type, sK14: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_213, type, sK15: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_214, type, sK16: $i > $i > $i). 80.99/12.09 thf(func_def_215, type, sK17: $i > $i > $i). 80.99/12.09 thf(func_def_216, type, sK18: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_217, type, sK19: $i > $i > $i). 80.99/12.09 thf(func_def_218, type, sK20: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_219, type, sK21: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_220, type, sK22: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_221, type, sK23: $i > $i). 80.99/12.09 thf(func_def_222, type, sK24: $i > $i > $i > $i). 80.99/12.09 thf(func_def_223, type, sK25: $i > $i > $i > $i). 80.99/12.09 thf(func_def_224, type, sK26: $i > $i > $i > $i). 80.99/12.09 thf(func_def_225, type, sK27: $i > $i > $i). 80.99/12.09 thf(func_def_226, type, sK28: $i > $i > $i). 80.99/12.09 thf(func_def_227, type, sK29: $i > $i > $i). 80.99/12.09 thf(func_def_228, type, sK30: $i > $i > $i). 80.99/12.09 thf(func_def_229, type, sK31: $i > $i > $i). 80.99/12.09 thf(func_def_230, type, sK32: $i > $i > $i). 80.99/12.09 thf(func_def_231, type, sK33: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_232, type, sK34: $i > $i > $o). 80.99/12.09 thf(func_def_233, type, sK35: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_234, type, sK36: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_235, type, sK37: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_236, type, sK38: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_237, type, sK39: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_238, type, sK40: $i > $i > $i). 80.99/12.09 thf(func_def_239, type, sK41: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_240, type, sK42: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_241, type, sK43: $i > $i > $i > $i). 80.99/12.09 thf(func_def_242, type, sK44: $i > $i > $i). 80.99/12.09 thf(func_def_243, type, sK45: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_244, type, sK46: $i > $i > $i > $i). 80.99/12.09 thf(func_def_245, type, sK47: $i > $i > $i). 80.99/12.09 thf(func_def_246, type, sK48: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_247, type, sK49: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_248, type, sK50: $i > $i > $i). 80.99/12.09 thf(func_def_249, type, sK51: $i > $i > $i). 80.99/12.09 thf(func_def_250, type, sK52: $i > $i > $i). 80.99/12.09 thf(func_def_251, type, sK53: $i > $i > $i). 80.99/12.09 thf(func_def_252, type, sK54: $i > $i > $i). 80.99/12.09 thf(func_def_253, type, sK55: $i > $i). 80.99/12.09 thf(func_def_254, type, sK56: $i > $i). 80.99/12.09 thf(func_def_255, type, sK57: $i > $i > $i). 80.99/12.09 thf(func_def_256, type, sK58: $i > $i > $i). 80.99/12.09 thf(func_def_257, type, sK59: $i > $i > $i). 80.99/12.09 thf(func_def_258, type, sK60: $i > $i > $i). 80.99/12.09 thf(func_def_259, type, sK61: $i > $i > $i). 80.99/12.09 thf(func_def_260, type, sK62: $i > $i > $i). 80.99/12.09 thf(func_def_261, type, sK63: $i > $i > $i). 80.99/12.09 thf(func_def_262, type, sK64: $i > $i > $i). 80.99/12.09 thf(func_def_263, type, sK65: ($i > $o) > $i). 80.99/12.09 thf(func_def_264, type, sK66: $i > $i > $i > $i). 80.99/12.09 thf(func_def_265, type, sK67: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_266, type, sK68: $i > $i > $i). 80.99/12.09 thf(func_def_267, type, sK69: $i > $i > $i). 80.99/12.09 thf(func_def_268, type, sK70: $i > $i > $i). 80.99/12.09 thf(func_def_269, type, sK71: $i > $i > $o). 80.99/12.09 thf(func_def_270, type, sK72: ($i > $o) > $i). 80.99/12.09 thf(func_def_271, type, sK73: $i > $i > $i). 80.99/12.09 thf(func_def_272, type, sK74: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_273, type, sK75: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_274, type, sK76: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_275, type, sK77: $i > $i > $i > $i). 80.99/12.09 thf(func_def_277, type, sK78: $i > $i > $i). 80.99/12.09 thf(func_def_278, type, sK79: $i > $i > $i). 80.99/12.09 thf(func_def_279, type, sK80: $i > $i > $i). 80.99/12.09 thf(func_def_280, type, sK81: $i > $i). 80.99/12.09 thf(func_def_281, type, sK82: $i > $i > $i). 80.99/12.09 thf(func_def_282, type, sK83: $i > $i > $i). 80.99/12.09 thf(func_def_283, type, sK84: $i > $i). 80.99/12.09 thf(func_def_284, type, sK85: $i > $i). 80.99/12.09 thf(func_def_285, type, sK86: $i > $i > $o). 80.99/12.09 thf(func_def_286, type, sK87: ($i > $o) > $i). 80.99/12.09 thf(func_def_287, type, sK88: $i > $i > $i). 80.99/12.09 thf(func_def_288, type, sK89: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_289, type, sK90: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_290, type, sK91: $i > $i > $i > $i). 80.99/12.09 thf(func_def_291, type, sK92: $i > $i). 80.99/12.09 thf(func_def_292, type, sK93: $i > $i). 80.99/12.09 thf(func_def_293, type, sK94: $i > $i > $i > $i). 80.99/12.09 thf(func_def_294, type, sK95: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_295, type, sK96: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_296, type, sK97: $i > $i > $i). 80.99/12.09 thf(func_def_297, type, sK98: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_298, type, sK99: $i > $i > $i). 80.99/12.09 thf(func_def_299, type, sK100: $i > $i > $i). 80.99/12.09 thf(func_def_300, type, sK101: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_301, type, sK102: $i > $i > $i). 80.99/12.09 thf(func_def_302, type, sK103: $i > $i > $i > $i). 80.99/12.09 thf(func_def_303, type, sK104: $i > $i > $i). 80.99/12.09 thf(func_def_304, type, sK105: $i > $i > $i). 80.99/12.09 thf(func_def_305, type, sK106: $i > $i > $i > $i). 80.99/12.09 thf(func_def_309, type, sK110: $i > $i > $i). 80.99/12.09 thf(func_def_310, type, sK111: $i > $i > $i). 80.99/12.09 thf(func_def_311, type, sK112: $i > $i > $i). 80.99/12.09 thf(func_def_312, type, sK113: $i > $i). 80.99/12.09 thf(func_def_313, type, sK114: $i > $i > $i). 80.99/12.09 thf(func_def_314, type, sK115: $i > $i > $i). 80.99/12.09 thf(func_def_315, type, sK116: $i > $i > $i). 80.99/12.09 thf(func_def_316, type, sK117: $i > $i > $i > $i). 80.99/12.09 thf(func_def_317, type, sK118: $i > $i > $i > $i). 80.99/12.09 thf(func_def_318, type, sK119: $i > $i). 80.99/12.09 thf(func_def_319, type, sK120: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_320, type, sK121: $i > $i > $o). 80.99/12.09 thf(func_def_321, type, sK122: $i > $i). 80.99/12.09 thf(func_def_322, type, sK123: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_323, type, sK124: $i > $i > $i). 80.99/12.09 thf(func_def_324, type, sK125: $i > $i > $i). 80.99/12.09 thf(func_def_325, type, sK126: $i > $i > $i). 80.99/12.09 thf(func_def_326, type, sK127: $i > $i > $i). 80.99/12.09 thf(func_def_327, type, sK128: $i > $i > $i). 80.99/12.09 thf(func_def_328, type, sK129: $i > $i > $i). 80.99/12.09 thf(func_def_329, type, sK130: $i > $i > $i). 80.99/12.09 thf(func_def_330, type, sK131: $i > $i > $i). 80.99/12.09 thf(func_def_331, type, sK132: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_332, type, sK133: $i > $i). 80.99/12.09 thf(func_def_333, type, sK134: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_334, type, sK135: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_335, type, sK136: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_336, type, sK137: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_337, type, sK138: $i > $i > $i). 80.99/12.09 thf(func_def_338, type, sK139: $i > $i > $i). 80.99/12.09 thf(func_def_339, type, sK140: $i > $i > $i > $i). 80.99/12.09 thf(func_def_340, type, sK141: $i > $i > $i). 80.99/12.09 thf(func_def_341, type, sK142: $i > $i > $i). 80.99/12.09 thf(func_def_342, type, sK143: $i > $i > $i). 80.99/12.09 thf(func_def_343, type, sK144: $i > $i > $i > $i). 80.99/12.09 thf(func_def_344, type, sK145: $i > $i > $i > $i). 80.99/12.09 thf(func_def_345, type, sK146: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_346, type, sK147: $i > $i > $i > $i). 80.99/12.09 thf(func_def_347, type, sK148: $i > $i > $i). 80.99/12.09 thf(func_def_348, type, sK149: $i > $i > $i). 80.99/12.09 thf(func_def_349, type, sK150: $i > $i > $i). 80.99/12.09 thf(func_def_350, type, sK151: $i > $i > $i). 80.99/12.09 thf(func_def_351, type, sK152: $i > $i > $i). 80.99/12.09 thf(func_def_352, type, sK153: $i > $i > $i). 80.99/12.09 thf(func_def_353, type, sK154: $i > $i > $i). 80.99/12.09 thf(func_def_354, type, sK155: $i > $i > $i). 80.99/12.09 thf(func_def_355, type, sK156: $i > $i > $i). 80.99/12.09 thf(func_def_356, type, sK157: $i > $i > $i). 80.99/12.09 thf(func_def_357, type, sK158: $i > $i > $i). 80.99/12.09 thf(func_def_358, type, sK159: $i > $i > $i). 80.99/12.09 thf(func_def_359, type, sK160: $i > $i > $i). 80.99/12.09 thf(func_def_360, type, sK161: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_361, type, sK162: $i > $i > $i > $i). 80.99/12.09 thf(func_def_362, type, sK163: $i > $i > $i > $i). 80.99/12.09 thf(func_def_363, type, sK164: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_364, type, sK165: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_365, type, sK166: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_366, type, sK167: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_367, type, sK168: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_368, type, sK169: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_369, type, sK170: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_370, type, sK171: $i > $i). 80.99/12.09 thf(func_def_371, type, sK172: $i > $i > $i). 80.99/12.09 thf(func_def_372, type, sK173: $i > $i > $i). 80.99/12.09 thf(func_def_373, type, sK174: $i > $i > $i). 80.99/12.09 thf(func_def_374, type, sK175: $i > $i > $i). 80.99/12.09 thf(func_def_375, type, sK176: $i > $i > $i). 80.99/12.09 thf(func_def_376, type, sK177: $i > $i > $i > $i). 80.99/12.09 thf(func_def_377, type, sK178: $i > $i > $i). 80.99/12.09 thf(func_def_378, type, sK179: $i > $i > $i). 80.99/12.09 thf(func_def_379, type, sK180: $i > $i > $i). 80.99/12.09 thf(func_def_380, type, sK181: $i > $i > $i). 80.99/12.09 thf(func_def_381, type, sK182: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_382, type, sK183: $i > $i > $i). 80.99/12.09 thf(func_def_383, type, sK184: $i > $i > $i). 80.99/12.09 thf(func_def_384, type, sK185: $i > $i > $i > $i). 80.99/12.09 thf(func_def_385, type, sK186: $i > $i > $i). 80.99/12.09 thf(func_def_386, type, sK187: $i > $i > $i). 80.99/12.09 thf(func_def_387, type, sK188: $i > $i > $i). 80.99/12.09 thf(func_def_388, type, sK189: ($i > $o) > $i). 80.99/12.09 thf(func_def_389, type, sK190: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_390, type, sK191: $i > $i > $i > $i). 80.99/12.09 thf(func_def_391, type, sK192: $i > $i > $i > $i). 80.99/12.09 thf(func_def_392, type, sK193: $i > $i > $i > $i). 80.99/12.09 thf(func_def_393, type, sK194: $i > $i > $i > $i). 80.99/12.09 thf(func_def_394, type, sK195: $i > $i > $i). 80.99/12.09 thf(func_def_395, type, sK196: $i > $i > $i). 80.99/12.09 thf(func_def_396, type, sK197: $i > $i > $i). 80.99/12.09 thf(func_def_397, type, sK198: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_398, type, sK199: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_399, type, sK200: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_400, type, sK201: ($i > $o) > $i). 80.99/12.09 thf(func_def_401, type, sK202: $i > $i > $o). 80.99/12.09 thf(func_def_402, type, sK203: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_403, type, sK204: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_404, type, sK205: $i > $i > $i). 80.99/12.09 thf(func_def_405, type, sK206: $i > $i > $i). 80.99/12.09 thf(func_def_406, type, sK207: $i > $i > $i). 80.99/12.09 thf(func_def_407, type, sK208: $i > $i > $i). 80.99/12.09 thf(func_def_408, type, sK209: $i > $i > $i). 80.99/12.09 thf(func_def_409, type, sK210: $i > $i > $i). 80.99/12.09 thf(func_def_410, type, sK211: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_411, type, sK212: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_412, type, sK213: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_413, type, sK214: $i > $i > $i > $i > $i). 80.99/12.09 thf(func_def_414, type, sK215: $i > $i > $i > $i). 80.99/12.09 thf(func_def_415, type, sK216: $i > $i > $i > $i). 80.99/12.09 thf(func_def_416, type, ph217: !>[X0: $tType]:(X0)). 80.99/12.09 thf(func_def_417, type, sK218: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_418, type, sK219: ($i > $i) > $i > $i). 80.99/12.09 thf(func_def_419, type, sK220: ($i > $i) > $i > $i). 80.99/12.09 thf(func_def_420, type, sK221: ($i > $i) > $i > $i). 80.99/12.09 thf(func_def_421, type, sK222: ($i > $i) > $i > $i). 80.99/12.09 thf(func_def_422, type, sK223: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_423, type, sK224: ($i > $i) > $i > $i). 80.99/12.09 thf(func_def_424, type, sK225: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_425, type, sK226: $i > ($i > $o) > $i). 80.99/12.09 thf(func_def_426, type, sK227: $i > $i > $i). 80.99/12.09 thf(func_def_427, type, sK228: $i > $i). 80.99/12.09 thf(func_def_428, type, sK229: ($i > $i) > $i > $i). 80.99/12.09 thf(f8488,plain,( 80.99/12.09 $false), 80.99/12.09 inference(trivial_inequality_removal,[status(thm)],[f8487])). 80.99/12.09 thf(f8487,plain,( 80.99/12.09 ($true = $false)), 80.99/12.09 inference(backward_demodulation,[status(thm)],[f4907,f8486])). 80.99/12.09 thf(f8486,plain,( 80.99/12.09 ($false = (in @ sK109 @ nat))), 80.99/12.09 inference(trivial_inequality_removal,[status(thm)],[f8485])). 80.99/12.09 thf(f8485,plain,( 80.99/12.09 ($true = $false) | ($false = (in @ sK109 @ nat))), 80.99/12.09 inference(forward_demodulation,[status(thm)],[f8484,f4900])). 80.99/12.09 thf(f4900,plain,( 80.99/12.09 ($true = (in @ sK108 @ frac))), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4898])). 80.99/12.09 thf(f4898,plain,( 80.99/12.09 ($false = ((in @ sK108 @ frac) => ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y0))))))) => ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t))))))), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f4897])). 80.99/12.09 thf(f4897,plain,( 80.99/12.09 (((^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ sK107 @ n_2t)))))) @ sK108) = $false)), 80.99/12.09 inference(sigma_clausification,[status(thm)],[f4895])). 80.99/12.09 thf(f4895,plain,( 80.99/12.09 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ sK107 @ n_2t))))))) = $false)), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4894])). 80.99/12.09 thf(f4894,plain,( 80.99/12.09 ($false = ((in @ sK107 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ sK107 @ n_2t)))))))))), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f4893])). 80.99/12.09 thf(f4893,plain,( 80.99/12.09 (((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (~ ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2))))))) => ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t))))))))) @ sK107) = $false)), 80.99/12.09 inference(sigma_clausification,[status(thm)],[f4892])). 80.99/12.09 thf(f4892,plain,( 80.99/12.09 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (~ ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2))))))) => ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)))))))))))), 80.99/12.09 inference(boolean_simplification,[status(thm)],[f4891])). 80.99/12.09 thf(f4891,plain,( 80.99/12.09 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2)) => $false))))) => ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)))))))))) != $true)), 80.99/12.09 inference(boolean_simplification,[status(thm)],[f4890])). 80.99/12.09 thf(f4890,plain,( 80.99/12.09 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => (((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2)) => $false)))) => $false) => ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)))))))))))), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f1643])). 80.99/12.09 thf(f1643,plain,( 80.99/12.09 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ Y8 @ $false)) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: (!! @ $i @ (^[Y10 : $i]: (((^[Y11 : $i]: ((^[Y12 : $i > $o]: (Y12 @ Y11)))) @ Y10 @ Y8) => (Y9 @ Y10))))))) @ (^[Y8 : $i]: (in @ Y8 @ Y6)) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ (Y9 @ Y10))))))) @ Y6 @ Y7)))))) @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2)))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2)))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i > $o]: (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y12) & (Y13 @ Y14))))))) @ Y9 @ (prop1 @ Y8 @ Y9 @ Y10 @ Y11))))))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ (d_1to @ n_2) @ Y7 @ n_1t) @ Y4 @ Y5 @ Y6)))))))) @ nat @ (n_pl @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)))))) @ Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i > $o]: (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y12) & (Y13 @ Y14))))))) @ Y9 @ (prop1 @ Y8 @ Y9 @ Y10 @ Y11))))))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ (d_1to @ n_2) @ Y7 @ n_1t) @ Y4 @ Y5 @ Y6)))))))) @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (eps @ (^[Y8 : $i]: ((in @ Y8 @ Y6) & (Y7 @ Y8))))))) @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ (n_ts @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_1t)))) @ nat @ Y4) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_2t)))) @ nat @ Y5)) @ (n_ts @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_1t)))) @ nat @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_2t)))) @ nat @ Y4))))))) @ Y2 @ Y3) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)))))) @ Y0 @ Y1)))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1340,f1463,f1463,f1481,f1489,f1498,f1497])). 80.99/12.09 thf(f1497,plain,( 80.99/12.09 (d_367_w = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (eps @ (^[Y12 : $i]: ((in @ Y12 @ Y10) & (Y11 @ Y12))))))) @ Y7 @ (prop1 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ (d_1to @ n_2) @ Y5 @ n_1t) @ Y2 @ Y3 @ Y4)))))))) @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: (eps @ (^[Y6 : $i]: ((in @ Y6 @ Y4) & (Y5 @ Y6))))))) @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2))))))) @ Y0 @ Y1) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1318,f1485,f1492,f1479,f1479])). 80.99/12.09 thf(f1479,plain,( 80.99/12.09 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))) @ nat))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1191,f1171])). 80.99/12.09 thf(f1171,plain,( 80.99/12.09 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f871])). 80.99/12.09 thf(f871,plain,( 80.99/12.09 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f217])). 80.99/12.09 thf(f217,axiom,( 80.99/12.09 (second1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_second1)). 80.99/12.09 thf(f1191,plain,( 80.99/12.09 (den = (second1 @ nat))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f230])). 80.99/12.09 thf(f230,axiom,( 80.99/12.09 (den = (second1 @ nat))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_den)). 80.99/12.09 thf(f1492,plain,( 80.99/12.09 (d_367_vo = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ Y2) & (Y3 @ Y4))))))) @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1308,f1181,f1468,f1480,f1479,f1480,f1479])). 80.99/12.09 thf(f1480,plain,( 80.99/12.09 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))) @ nat))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1196,f1221])). 80.99/12.09 thf(f1221,plain,( 80.99/12.09 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f1096])). 80.99/12.09 thf(f1096,plain,( 80.99/12.09 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f216])). 80.99/12.09 thf(f216,axiom,( 80.99/12.09 (first1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_first1)). 80.99/12.09 thf(f1196,plain,( 80.99/12.09 (num = (first1 @ nat))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f229])). 80.99/12.09 thf(f229,axiom,( 80.99/12.09 (num = (first1 @ nat))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_num)). 80.99/12.09 thf(f1468,plain,( 80.99/12.09 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1417,f1467])). 80.99/12.09 thf(f1467,plain,( 80.99/12.09 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1273,f1232])). 80.99/12.09 thf(f1232,plain,( 80.99/12.09 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f516])). 80.99/12.09 thf(f516,plain,( 80.99/12.09 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f515])). 80.99/12.09 thf(f515,plain,( 80.99/12.09 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 80.99/12.09 inference(rectify,[status(thm)],[f49])). 80.99/12.09 thf(f49,axiom,( 80.99/12.09 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_e_is)). 80.99/12.09 thf(f1273,plain,( 80.99/12.09 (n_is = (e_is @ nat))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f96])). 80.99/12.09 thf(f96,axiom,( 80.99/12.09 (n_is = (e_is @ nat))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_n_is)). 80.99/12.09 thf(f1417,plain,( 80.99/12.09 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f951])). 80.99/12.09 thf(f951,plain,( 80.99/12.09 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f185])). 80.99/12.09 thf(f185,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_diffprop)). 80.99/12.09 thf(f1181,plain,( 80.99/12.09 (ind = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ Y0) & (Y1 @ Y2))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f652])). 80.99/12.09 thf(f652,plain,( 80.99/12.09 (ind = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ Y0) & (Y1 @ Y2))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f651])). 80.99/12.09 thf(f651,plain,( 80.99/12.09 ((^[X0 : $i, X1 : $i > $o] : (eps @ (^[X2 : $i] : ((X1 @ X2) & (in @ X2 @ X0))))) = ind)), 80.99/12.09 inference(rectify,[status(thm)],[f52])). 80.99/12.09 thf(f52,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i > $o] : (eps @ (^[X2 : $i] : ((X1 @ X2) & (in @ X2 @ X0))))) = ind)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_ind)). 80.99/12.09 thf(f1308,plain,( 80.99/12.09 (d_367_vo = (^[Y0 : $i]: ((^[Y1 : $i]: (ind @ nat @ (diffprop @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f680])). 80.99/12.09 thf(f680,plain,( 80.99/12.09 (d_367_vo = (^[Y0 : $i]: ((^[Y1 : $i]: (ind @ nat @ (diffprop @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f237])). 80.99/12.09 thf(f237,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i] : (ind @ nat @ (diffprop @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0))))) = d_367_vo)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_d_367_vo)). 80.99/12.09 thf(f1485,plain,( 80.99/12.09 (n_fr = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (eps @ (^[Y10 : $i]: ((in @ Y10 @ Y8) & (Y9 @ Y10))))))) @ Y5 @ (prop1 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))) @ nat))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1448,f1483])). 80.99/12.09 thf(f1483,plain,( 80.99/12.09 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i > $o]: (eps @ (^[Y10 : $i]: ((in @ Y10 @ Y8) & (Y9 @ Y10))))))) @ Y5 @ (prop1 @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1360,f1482,f1232])). 80.99/12.09 thf(f1482,plain,( 80.99/12.09 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: (eps @ (^[Y6 : $i]: ((in @ Y6 @ Y4) & (Y5 @ Y6))))))) @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1248,f1181])). 80.99/12.09 thf(f1248,plain,( 80.99/12.09 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f1028])). 80.99/12.09 thf(f1028,plain,( 80.99/12.09 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f68])). 80.99/12.09 thf(f68,axiom,( 80.99/12.09 (ite = (^[X0 : $o, X1 : $i, X2 : $i, X3 : $i] : (ind @ X1 @ (prop1 @ X0 @ X1 @ X2 @ X3))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_ite)). 80.99/12.09 thf(f1360,plain,( 80.99/12.09 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f480])). 80.99/12.09 thf(f480,plain,( 80.99/12.09 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f215])). 80.99/12.09 thf(f215,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i, X2 : $i] : (d_Sigma @ (d_1to @ n_2) @ (^[X3 : $i] : (ite @ (e_is @ (d_1to @ n_2) @ X3 @ n_1t) @ X0 @ X1 @ X2)))) = pair1)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_pair1)). 80.99/12.09 thf(f1448,plain,( 80.99/12.09 (n_fr = (pair1 @ nat))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f228])). 80.99/12.09 thf(f228,axiom,( 80.99/12.09 (n_fr = (pair1 @ nat))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_n_fr)). 80.99/12.09 thf(f1318,plain,( 80.99/12.09 (d_367_w = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (d_367_vo @ Y0 @ Y1) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f572])). 80.99/12.09 thf(f572,plain,( 80.99/12.09 (d_367_w = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (d_367_vo @ Y0 @ Y1) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f238])). 80.99/12.09 thf(f238,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i] : (n_fr @ (d_367_vo @ X0 @ X1) @ (n_ts @ (den @ X0) @ (den @ X1)))) = d_367_w)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_d_367_w)). 80.99/12.09 thf(f1498,plain,( 80.99/12.09 (n_pf = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i > $o]: (eps @ (^[Y12 : $i]: ((in @ Y12 @ Y10) & (Y11 @ Y12))))))) @ Y7 @ (prop1 @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ (d_1to @ n_2) @ Y5 @ n_1t) @ Y2 @ Y3 @ Y4)))))))) @ nat @ (n_pl @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1163,f1485,f1480,f1479,f1480,f1479,f1479,f1479])). 80.99/12.09 thf(f1163,plain,( 80.99/12.09 (n_pf = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f1000])). 80.99/12.09 thf(f1000,plain,( 80.99/12.09 (n_pf = (^[Y0 : $i]: ((^[Y1 : $i]: (n_fr @ (n_pl @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0))) @ (n_ts @ (den @ Y0) @ (den @ Y1)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f236])). 80.99/12.09 thf(f236,axiom,( 80.99/12.09 (n_pf = (^[X0 : $i, X1 : $i] : (n_fr @ (n_pl @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0))) @ (n_ts @ (den @ X0) @ (den @ X1)))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_n_pf)). 80.99/12.09 thf(f1489,plain,( 80.99/12.09 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1375,f1467,f1480,f1479,f1480,f1479])). 80.99/12.09 thf(f1375,plain,( 80.99/12.09 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f799])). 80.99/12.09 thf(f799,plain,( 80.99/12.09 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f231])). 80.99/12.09 thf(f231,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i] : (n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = n_eq)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_n_eq)). 80.99/12.09 thf(f1481,plain,( 80.99/12.09 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ Y6 @ $false)) @ ((^[Y6 : $i > $o]: ((^[Y7 : $i > $o]: (!! @ $i @ (^[Y8 : $i]: (((^[Y9 : $i]: ((^[Y10 : $i > $o]: (Y10 @ Y9)))) @ Y8 @ Y6) => (Y7 @ Y8))))))) @ (^[Y6 : $i]: (in @ Y6 @ Y4)) @ ((^[Y6 : $i]: ((^[Y7 : $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $o]: ((^[Y10 : $o]: ((^[Y11 : $o]: (Y10 => Y11)))) @ Y9 @ $false)) @ (Y7 @ Y8))))))) @ Y4 @ Y5)))))) @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_1t)))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ n_2t)))) @ nat @ Y0)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1176,f1471,f1480,f1479,f1480,f1479])). 80.99/12.09 thf(f1471,plain,( 80.99/12.09 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y4 @ $false)) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: (!! @ $i @ (^[Y6 : $i]: (((^[Y7 : $i]: ((^[Y8 : $i > $o]: (Y8 @ Y7)))) @ Y6 @ Y4) => (Y5 @ Y6))))))) @ (^[Y4 : $i]: (in @ Y4 @ Y2)) @ ((^[Y4 : $i]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: (Y8 => Y9)))) @ Y7 @ $false)) @ (Y5 @ Y6))))))) @ Y2 @ Y3)))))) @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1401,f1466,f1468])). 80.99/12.09 thf(f1466,plain,( 80.99/12.09 (n_some = ((^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ (Y3 @ Y4))))))) @ Y0 @ Y1)))))) @ nat))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1381,f1465])). 80.99/12.09 thf(f1465,plain,( 80.99/12.09 (l_some = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ ((^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ (Y3 @ Y4))))))) @ Y0 @ Y1)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1325,f1462,f1463,f1464])). 80.99/12.09 thf(f1464,plain,( 80.99/12.09 (non = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ (Y1 @ Y2))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1339,f1462])). 80.99/12.09 thf(f1339,plain,( 80.99/12.09 (non = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (d_not @ (Y1 @ Y2))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f967])). 80.99/12.09 thf(f967,plain,( 80.99/12.09 (non = (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (d_not @ (Y1 @ Y2))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f43])). 80.99/12.09 thf(f43,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i > $o, X2 : $i] : (d_not @ (X1 @ X2))) = non)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_non)). 80.99/12.09 thf(f1462,plain,( 80.99/12.09 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1225,f1391])). 80.99/12.09 thf(f1391,plain,( 80.99/12.09 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f997])). 80.99/12.09 thf(f997,plain,( 80.99/12.09 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f996])). 80.99/12.09 thf(f996,plain,( 80.99/12.09 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 80.99/12.09 inference(rectify,[status(thm)],[f33])). 80.99/12.09 thf(f33,axiom,( 80.99/12.09 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_imp)). 80.99/12.09 thf(f1225,plain,( 80.99/12.09 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f621])). 80.99/12.09 thf(f621,plain,( 80.99/12.09 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f34])). 80.99/12.09 thf(f34,axiom,( 80.99/12.09 (d_not = (^[X0 : $o] : (imp @ X0 @ $false)))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_d_not)). 80.99/12.09 thf(f1325,plain,( 80.99/12.09 (l_some = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (d_not @ (all_of @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ (non @ Y0 @ Y1)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f847])). 80.99/12.09 thf(f847,plain,( 80.99/12.09 (l_some = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (d_not @ (all_of @ (^[Y2 : $i]: (in @ Y2 @ Y0)) @ (non @ Y0 @ Y1)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f44])). 80.99/12.09 thf(f44,axiom,( 80.99/12.09 (l_some = (^[X0 : $i, X1 : $i > $o] : (d_not @ (all_of @ (^[X2 : $i] : (in @ X2 @ X0)) @ (non @ X0 @ X1)))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_l_some)). 80.99/12.09 thf(f1381,plain,( 80.99/12.09 (n_some = (l_some @ nat))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f99])). 80.99/12.09 thf(f99,axiom,( 80.99/12.09 (n_some = (l_some @ nat))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_n_some)). 80.99/12.09 thf(f1401,plain,( 80.99/12.09 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f722])). 80.99/12.09 thf(f722,plain,( 80.99/12.09 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f186])). 80.99/12.09 thf(f186,axiom,( 80.99/12.09 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_d_29_ii)). 80.99/12.09 thf(f1176,plain,( 80.99/12.09 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f517])). 80.99/12.09 thf(f517,plain,( 80.99/12.09 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f232])). 80.99/12.09 thf(f232,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i] : (d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = moref)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_moref)). 80.99/12.09 thf(f1463,plain,( 80.99/12.09 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1431,f1329])). 80.99/12.09 thf(f1329,plain,( 80.99/12.09 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f919])). 80.99/12.09 thf(f919,plain,( 80.99/12.09 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f1])). 80.99/12.09 thf(f1,axiom,( 80.99/12.09 ((^[X0 : $i, X1 : $i > $o] : (X1 @ X0)) = is_of)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_is_of)). 80.99/12.09 thf(f1431,plain,( 80.99/12.09 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f640])). 80.99/12.09 thf(f640,plain,( 80.99/12.09 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f639])). 80.99/12.09 thf(f639,plain,( 80.99/12.09 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 80.99/12.09 inference(rectify,[status(thm)],[f2])). 80.99/12.09 thf(f2,axiom,( 80.99/12.09 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2 : $i] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',def_all_of)). 80.99/12.09 thf(f1340,plain,( 80.99/12.09 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (n_eq @ Y0 @ (n_pf @ Y1 @ (d_367_w @ Y0 @ Y1)))))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f1124])). 80.99/12.09 thf(f1124,plain,( 80.99/12.09 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (n_eq @ Y0 @ (n_pf @ Y1 @ (d_367_w @ Y0 @ Y1)))))))))), 80.99/12.09 inference(flattening,[status(thm)],[f859])). 80.99/12.09 thf(f859,plain,( 80.99/12.09 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (n_eq @ Y0 @ (n_pf @ Y1 @ (d_367_w @ Y0 @ Y1)))))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f858])). 80.99/12.09 thf(f858,plain,( 80.99/12.09 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moref @ X1 @ X3) => (n_eq @ X1 @ (n_pf @ X3 @ (d_367_w @ X1 @ X3))))))))), 80.99/12.09 inference(rectify,[status(thm)],[f360])). 80.99/12.09 thf(f360,negated_conjecture,( 80.99/12.09 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (n_eq @ X0 @ (n_pf @ X1 @ (d_367_w @ X0 @ X1))))))))), 80.99/12.09 inference(negated_conjecture,[status(cth)],[f359])). 80.99/12.09 thf(f359,conjecture,( 80.99/12.09 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (n_eq @ X0 @ (n_pf @ X1 @ (d_367_w @ X0 @ X1))))))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',satz67d)). 80.99/12.09 thf(f8484,plain,( 80.99/12.09 ($false = (in @ sK108 @ frac)) | ($false = (in @ sK109 @ nat))), 80.99/12.09 inference(trivial_inequality_removal,[status(thm)],[f8483])). 80.99/12.09 thf(f8483,plain,( 80.99/12.09 ($true = $false) | ($false = (in @ sK109 @ nat)) | ($false = (in @ sK108 @ frac))), 80.99/12.09 inference(forward_demodulation,[status(thm)],[f8482,f4896])). 80.99/12.09 thf(f4896,plain,( 80.99/12.09 ((in @ sK107 @ frac) = $true)), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4894])). 80.99/12.09 thf(f8482,plain,( 80.99/12.09 ($false = (in @ sK109 @ nat)) | ((in @ sK107 @ frac) = $false) | ($false = (in @ sK108 @ frac))), 80.99/12.09 inference(subsumption_resolution,[status(thm)],[f8481,f4910])). 80.99/12.09 thf(f4910,plain,( 80.99/12.09 ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) != (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t)))), 80.99/12.09 inference(equality_proxy_clausification,[status(thm)],[f4901])). 80.99/12.09 thf(f4901,plain,( 80.99/12.09 ($false = ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t))))), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4899])). 80.99/12.09 thf(f4899,plain,( 80.99/12.09 (((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y0))))))) => ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t)))) = $false)), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4898])). 80.99/12.09 thf(f8481,plain,( 80.99/12.09 ((in @ sK107 @ frac) = $false) | ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t))) | ($false = (in @ sK108 @ frac)) | ($false = (in @ sK109 @ nat))), 80.99/12.09 inference(trivial_inequality_removal,[status(thm)],[f8480])). 80.99/12.09 thf(f8480,plain,( 80.99/12.09 ((in @ sK107 @ frac) = $false) | ($false = (in @ sK108 @ frac)) | ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)) = (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ sK108 @ n_2t))) @ (n_ts @ (ap @ sK108 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ sK107 @ n_2t) @ (ap @ sK108 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ sK107 @ n_2t))) | ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) != (n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t))) | ($false = (in @ sK109 @ nat))), 80.99/12.09 inference(superposition,[status(thm)],[f3986,f4909])). 80.99/12.09 thf(f4909,plain,( 80.99/12.09 ((n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ sK109) = (n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)))), 80.99/12.09 inference(equality_proxy_clausification,[status(thm)],[f4908])). 80.99/12.09 thf(f4908,plain,( 80.99/12.09 ($true = ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ sK109)))), 80.99/12.09 inference(not_proxy_clausification,[status(thm)],[f4906])). 80.99/12.09 thf(f4906,plain,( 80.99/12.09 ((~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ sK109))) = $false)), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4905])). 80.99/12.09 thf(f4905,plain,( 80.99/12.09 ($false = ((in @ sK109 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ sK109)))))), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f4904])). 80.99/12.09 thf(f4904,plain,( 80.99/12.09 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y0))))) @ sK109))), 80.99/12.09 inference(sigma_clausification,[status(thm)],[f4903])). 80.99/12.09 thf(f4903,plain,( 80.99/12.09 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y0)))))))), 80.99/12.09 inference(not_proxy_clausification,[status(thm)],[f4902])). 80.99/12.09 thf(f4902,plain,( 80.99/12.09 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ sK107 @ n_1t) @ (ap @ sK108 @ n_2t)) = (n_pl @ (n_ts @ (ap @ sK108 @ n_1t) @ (ap @ sK107 @ n_2t)) @ Y0))))))))), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4899])). 80.99/12.09 thf(f3986,plain,( 80.99/12.09 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ X3) != (n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t))) | ((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false) | ((in @ X3 @ nat) = $false) | ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)))) )), 80.99/12.09 inference(equality_proxy_clausification,[status(thm)],[f3985])). 80.99/12.09 thf(f3985,plain,( 80.99/12.09 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ nat) = $false) | ((in @ X2 @ frac) = $false) | ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t))) | ($false = ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ X3))) | ((in @ X1 @ frac) = $false)) )), 80.99/12.09 inference(not_proxy_clausification,[status(thm)],[f3984])). 80.99/12.09 thf(f3984,plain,( 80.99/12.09 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t))) | ($true = (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ X3)))) | ((in @ X1 @ frac) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ frac) = $false)) )), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f3983])). 80.99/12.09 thf(f3983,plain,( 80.99/12.09 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ frac) = $false) | ($true = ((in @ X3 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ X3))))) | ((in @ X2 @ frac) = $false) | ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)))) )), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f3982])). 80.99/12.09 thf(f3982,plain,( 80.99/12.09 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0))))) @ X3)) | ((in @ X2 @ frac) = $false) | ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t))) | ((in @ X1 @ frac) = $false)) )), 80.99/12.09 inference(pi_clausification,[status(thm)],[f3981])). 80.99/12.09 thf(f3981,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0))))))) | ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t))) | ((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false)) )), 80.99/12.09 inference(not_proxy_clausification,[status(thm)],[f3980])). 80.99/12.09 thf(f3980,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : (((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t))) | ((in @ X1 @ frac) = $false) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0)))))))) | ((in @ X2 @ frac) = $false)) )), 80.99/12.09 inference(equality_proxy_clausification,[status(thm)],[f3979])). 80.99/12.09 thf(f3979,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ frac) = $false) | ((in @ X2 @ frac) = $false) | ($true = ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)))) | ($false = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0))))))))) )), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f3978])). 80.99/12.09 thf(f3978,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : ((((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)))) = $true) | ((in @ X2 @ frac) = $false) | ((in @ X1 @ frac) = $false)) )), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f3977])). 80.99/12.09 thf(f3977,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ frac) => ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y0))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y0 : $i]: (eps @ (^[Y1 : $i]: ((in @ Y1 @ nat) & (prop1 @ (Y0 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ X2 @ n_2t))) @ (n_ts @ (ap @ X2 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ X2 @ n_2t)) = (n_pl @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y4))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ X2 @ n_2t)) @ Y3)))))) @ n_2t)) @ Y1)))))) @ n_2t)))))) | ((in @ X1 @ frac) = $false)) )), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f3976])). 80.99/12.09 thf(f3976,plain,( 80.99/12.09 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ frac) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t)))))) @ X2))) )), 80.99/12.09 inference(pi_clausification,[status(thm)],[f3975])). 80.99/12.09 thf(f3975,plain,( 80.99/12.09 ( ! [X1 : $i] : (((in @ X1 @ frac) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t))))))))) )), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f3974])). 80.99/12.09 thf(f3974,plain,( 80.99/12.09 ( ! [X1 : $i] : (($true = ((in @ X1 @ frac) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => ((~ (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (~ ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y1))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_1t) @ (ap @ X1 @ n_2t)) = (n_ts @ (ap @ X1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y1 : $i]: (eps @ (^[Y2 : $i]: ((in @ Y2 @ nat) & (prop1 @ (Y1 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_1t) @ (ap @ Y0 @ n_2t))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (eps @ (^[Y4 : $i]: ((in @ Y4 @ nat) & (prop1 @ (Y3 = n_1t) @ nat @ (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & ((n_ts @ (ap @ X1 @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ X1 @ n_2t)) @ Y5))))) @ (n_ts @ (ap @ X1 @ n_2t) @ (ap @ Y0 @ n_2t)) @ Y4)))))) @ n_2t)) @ Y2)))))) @ n_2t)))))))))) )), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f3973])). 80.99/12.09 thf(f3973,plain,( 80.99/12.09 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (~ ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t))))))))) @ X1))) )), 80.99/12.09 inference(pi_clausification,[status(thm)],[f3972])). 80.99/12.09 thf(f3972,plain,( 80.99/12.09 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (~ ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2))))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)))))))))) = $true)), 80.99/12.09 inference(boolean_simplification,[status(thm)],[f3971])). 80.99/12.09 thf(f3971,plain,( 80.99/12.09 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => ((~ (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2)) => $false))))) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)))))))))))), 80.99/12.09 inference(boolean_simplification,[status(thm)],[f3970])). 80.99/12.09 thf(f3970,plain,( 80.99/12.09 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ frac) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ frac) => (((!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y2)) => $false)))) => $false) => ((n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_1t) @ (ap @ Y0 @ n_2t)) = (n_ts @ (ap @ Y0 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y2 : $i]: (eps @ (^[Y3 : $i]: ((in @ Y3 @ nat) & (prop1 @ (Y2 = n_1t) @ nat @ (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ (n_ts @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_1t) @ (ap @ Y1 @ n_2t))) @ (n_ts @ (ap @ Y1 @ n_2t) @ (ap @ (d_Sigma @ (d_1to @ n_2) @ (^[Y4 : $i]: (eps @ (^[Y5 : $i]: ((in @ Y5 @ nat) & (prop1 @ (Y4 = n_1t) @ nat @ (eps @ (^[Y6 : $i]: ((in @ Y6 @ nat) & ((n_ts @ (ap @ Y0 @ n_1t) @ (ap @ Y1 @ n_2t)) = (n_pl @ (n_ts @ (ap @ Y1 @ n_1t) @ (ap @ Y0 @ n_2t)) @ Y6))))) @ (n_ts @ (ap @ Y0 @ n_2t) @ (ap @ Y1 @ n_2t)) @ Y5)))))) @ n_2t)) @ Y3)))))) @ n_2t)))))))))))), 80.99/12.09 inference(beta_eta_normalization,[status(thm)],[f1560])). 80.99/12.09 thf(f1560,plain,( 80.99/12.09 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ Y8 @ $false)) @ ((^[Y8 : $i > $o]: ((^[Y9 : $i > $o]: (!! @ $i @ (^[Y10 : $i]: (((^[Y11 : $i]: ((^[Y12 : $i > $o]: (Y12 @ Y11)))) @ Y10 @ Y8) => (Y9 @ Y10))))))) @ (^[Y8 : $i]: (in @ Y8 @ Y6)) @ ((^[Y8 : $i]: ((^[Y9 : $i > $o]: ((^[Y10 : $i]: ((^[Y11 : $o]: ((^[Y12 : $o]: ((^[Y13 : $o]: (Y12 => Y13)))) @ Y11 @ $false)) @ (Y9 @ Y10))))))) @ Y6 @ Y7)))))) @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2)))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i > $o]: (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y12) & (Y13 @ Y14))))))) @ Y9 @ (prop1 @ Y8 @ Y9 @ Y10 @ Y11))))))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ (d_1to @ n_2) @ Y7 @ n_1t) @ Y4 @ Y5 @ Y6)))))))) @ nat @ (n_pl @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_1t)))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)))))) @ Y1 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y7 : $i]: ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i > $o]: (eps @ (^[Y14 : $i]: ((in @ Y14 @ Y12) & (Y13 @ Y14))))))) @ Y9 @ (prop1 @ Y8 @ Y9 @ Y10 @ Y11))))))))) @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (Y9 = Y10)))))) @ (d_1to @ n_2) @ Y7 @ n_1t) @ Y4 @ Y5 @ Y6)))))))) @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i > $o]: (eps @ (^[Y8 : $i]: ((in @ Y8 @ Y6) & (Y7 @ Y8))))))) @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ (n_ts @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_1t)))) @ nat @ Y4) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_2t)))) @ nat @ Y5)) @ (n_ts @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_1t)))) @ nat @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (ap @ Y7 @ n_2t)))) @ nat @ Y4))))))) @ Y2 @ Y3) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ n_2t)))) @ nat @ Y3)))))) @ Y0 @ Y1)) @ Y0)))))))), 80.99/12.09 inference(definition_unfolding,[status(thm)],[f1227,f1463,f1463,f1481,f1489,f1498,f1497])). 80.99/12.09 thf(f1227,plain,( 80.99/12.09 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (n_eq @ (n_pf @ Y1 @ (d_367_w @ Y0 @ Y1)) @ Y0)))))))), 80.99/12.09 inference(cnf_transformation,[status(thm)],[f745])). 80.99/12.09 thf(f745,plain,( 80.99/12.09 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (n_eq @ (n_pf @ Y1 @ (d_367_w @ Y0 @ Y1)) @ Y0)))))))), 80.99/12.09 inference(fool_elimination,[status(thm)],[f744])). 80.99/12.09 thf(f744,plain,( 80.99/12.09 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moref @ X1 @ X3) => (n_eq @ (n_pf @ X3 @ (d_367_w @ X1 @ X3)) @ X1))))))), 80.99/12.09 inference(rectify,[status(thm)],[f420])). 80.99/12.09 thf(f420,axiom,( 80.99/12.09 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (n_eq @ (n_pf @ X1 @ (d_367_w @ X0 @ X1)) @ X0))))))), 80.99/12.09 file('/export/starexec/sandbox/tmp/tmp.VL9YK3Z2gu/E---3.1_18608.p',k_satz67c)). 80.99/12.09 thf(f4907,plain,( 80.99/12.09 ($true = (in @ sK109 @ nat))), 80.99/12.09 inference(binary_proxy_clausification,[status(thm)],[f4905])). 80.99/12.09 % SZS output end Proof for E---3.1_18608 80.99/12.09 % (18988)------------------------------ 80.99/12.09 % (18988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 80.99/12.09 % (18988)Termination reason: Refutation 80.99/12.09 80.99/12.09 % (18988)Memory used [KB]: 15479 80.99/12.09 % (18988)Time elapsed: 0.966 s 80.99/12.09 % (18988)Instructions burned: 3691 (million) 80.99/12.09 % (18988)------------------------------ 80.99/12.09 % (18988)------------------------------ 80.99/12.09 % (18714)Success in time 11.67 s 80.99/12.09 EOF