0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_vampire %s %d THM 0.11/0.33 % Computer : n026.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 08:23:34 EDT 2025 0.11/0.33 % CPUTime : 0.21/0.35 This is a THF_ problem 0.21/0.35 Running higher-order theorem proving 0.21/0.40 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p -m 16384 -t 240 0.26/0.45 % (22266)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_22157 for (2399ds/27Mi) 0.26/0.45 % (22267)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/2Mi) 0.26/0.45 % (22264)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/183Mi) 0.26/0.45 % (22265)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_22157 for (2399ds/4Mi) 0.26/0.45 % (22268)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_22157 for (2399ds/2Mi) 0.26/0.45 % (22269)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_22157 for (2399ds/275Mi) 0.26/0.45 % (22270)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/18Mi) 0.26/0.45 % (22267)Instruction limit reached! 0.26/0.45 % (22267)------------------------------ 0.26/0.45 % (22267)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (22267)Termination reason: Unknown 0.26/0.45 % (22267)Termination phase: shuffling 0.26/0.45 % (22268)Instruction limit reached! 0.26/0.45 % (22268)------------------------------ 0.26/0.45 % (22268)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (22268)Termination reason: Unknown 0.26/0.45 % (22268)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (22268)Memory used [KB]: 1535 0.26/0.45 % (22268)Time elapsed: 0.004 s 0.26/0.45 % (22268)Instructions burned: 3 (million) 0.26/0.45 % (22268)------------------------------ 0.26/0.45 % (22268)------------------------------ 0.26/0.45 0.26/0.45 % (22267)Memory used [KB]: 1535 0.26/0.45 % (22267)Time elapsed: 0.004 s 0.26/0.45 % (22267)Instructions burned: 3 (million) 0.26/0.45 % (22267)------------------------------ 0.26/0.45 % (22267)------------------------------ 0.26/0.45 % (22265)Instruction limit reached! 0.26/0.45 % (22265)------------------------------ 0.26/0.45 % (22265)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (22265)Termination reason: Unknown 0.26/0.45 % (22265)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (22265)Memory used [KB]: 1535 0.26/0.45 % (22265)Time elapsed: 0.005 s 0.26/0.45 % (22265)Instructions burned: 5 (million) 0.26/0.45 % (22265)------------------------------ 0.26/0.45 % (22265)------------------------------ 0.26/0.46 % (22270)Instruction limit reached! 0.26/0.46 % (22270)------------------------------ 0.26/0.46 % (22270)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (22270)Termination reason: Unknown 0.26/0.46 % (22270)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (22270)Memory used [KB]: 1791 0.26/0.46 % (22270)Time elapsed: 0.012 s 0.26/0.46 % (22270)Instructions burned: 18 (million) 0.26/0.46 % (22270)------------------------------ 0.26/0.46 % (22270)------------------------------ 0.26/0.46 % (22266)Instruction limit reached! 0.26/0.46 % (22266)------------------------------ 0.26/0.46 % (22266)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (22266)Termination reason: Unknown 0.26/0.46 % (22266)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (22266)Memory used [KB]: 1918 0.26/0.46 % (22266)Time elapsed: 0.017 s 0.26/0.46 % (22266)Instructions burned: 27 (million) 0.26/0.46 % (22266)------------------------------ 0.26/0.46 % (22266)------------------------------ 0.26/0.47 % (22272)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_22157 for (2399ds/37Mi) 0.26/0.47 % (22273)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_22157 for (2399ds/15Mi) 0.26/0.47 % (22271)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_22157 for (2399ds/3Mi) 0.26/0.47 % (22271)Instruction limit reached! 0.26/0.47 % (22271)------------------------------ 0.26/0.47 % (22271)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (22271)Termination reason: Unknown 0.26/0.47 % (22271)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (22271)Memory used [KB]: 1535 0.26/0.47 % (22271)Time elapsed: 0.004 s 0.26/0.47 % (22271)Instructions burned: 3 (million) 0.26/0.47 % (22271)------------------------------ 0.26/0.47 % (22271)------------------------------ 0.26/0.47 % (22274)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_22157 for (2399ds/3Mi) 0.26/0.47 % (22274)Instruction limit reached! 0.26/0.47 % (22274)------------------------------ 0.26/0.47 % (22274)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (22274)Termination reason: Unknown 0.26/0.47 % (22274)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (22274)Memory used [KB]: 1535 0.26/0.47 % (22274)Time elapsed: 0.003 s 0.26/0.47 % (22274)Instructions burned: 3 (million) 0.26/0.47 % (22274)------------------------------ 0.26/0.47 % (22274)------------------------------ 0.26/0.48 % (22273)Instruction limit reached! 0.26/0.48 % (22273)------------------------------ 0.26/0.48 % (22273)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (22273)Termination reason: Unknown 0.26/0.48 % (22273)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (22273)Memory used [KB]: 1791 0.26/0.48 % (22273)Time elapsed: 0.010 s 0.26/0.48 % (22273)Instructions burned: 15 (million) 0.26/0.48 % (22273)------------------------------ 0.26/0.48 % (22273)------------------------------ 0.26/0.48 % (22276)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_22157 for (2399ds/1041Mi) 0.26/0.48 % (22278)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/16Mi) 0.26/0.49 % (22272)Instruction limit reached! 0.26/0.49 % (22272)------------------------------ 0.26/0.49 % (22272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (22272)Termination reason: Unknown 0.26/0.49 % (22272)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (22272)Memory used [KB]: 2174 0.26/0.49 % (22272)Time elapsed: 0.021 s 0.26/0.49 % (22272)Instructions burned: 38 (million) 0.26/0.49 % (22272)------------------------------ 0.26/0.49 % (22272)------------------------------ 0.26/0.49 % (22277)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/7Mi) 0.26/0.49 % (22278)Instruction limit reached! 0.26/0.49 % (22278)------------------------------ 0.26/0.49 % (22278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (22278)Termination reason: Unknown 0.26/0.49 % (22278)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (22278)Memory used [KB]: 1791 0.26/0.49 % (22278)Time elapsed: 0.007 s 0.26/0.49 % (22278)Instructions burned: 17 (million) 0.26/0.49 % (22278)------------------------------ 0.26/0.49 % (22278)------------------------------ 0.26/0.49 % (22277)Instruction limit reached! 0.26/0.49 % (22277)------------------------------ 0.26/0.49 % (22277)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (22277)Termination reason: Unknown 0.26/0.49 % (22277)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (22277)Memory used [KB]: 1535 0.26/0.49 % (22277)Time elapsed: 0.006 s 0.26/0.49 % (22277)Instructions burned: 7 (million) 0.26/0.49 % (22277)------------------------------ 0.26/0.49 % (22277)------------------------------ 0.26/0.49 % (22279)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_22157 for (2399ds/3Mi) 0.26/0.49 % (22269)Refutation not found, incomplete strategy 0.26/0.49 % (22269)------------------------------ 0.26/0.49 % (22269)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (22269)Termination reason: Refutation not found, incomplete strategy 0.26/0.49 0.26/0.49 0.26/0.49 % (22269)Memory used [KB]: 6780 0.26/0.49 % (22269)Time elapsed: 0.044 s 0.26/0.49 % (22269)Instructions burned: 82 (million) 0.26/0.49 % (22269)------------------------------ 0.26/0.49 % (22269)------------------------------ 0.26/0.49 % (22279)Instruction limit reached! 0.26/0.49 % (22279)------------------------------ 0.26/0.49 % (22279)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (22279)Termination reason: Unknown 0.26/0.49 % (22279)Termination phase: shuffling 0.26/0.49 0.26/0.49 % (22279)Memory used [KB]: 1535 0.26/0.49 % (22279)Time elapsed: 0.004 s 0.26/0.49 % (22279)Instructions burned: 3 (million) 0.26/0.49 % (22279)------------------------------ 0.26/0.49 % (22279)------------------------------ 0.26/0.50 % (22281)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_22157 for (2399ds/7Mi) 0.26/0.50 % (22281)Instruction limit reached! 0.26/0.50 % (22281)------------------------------ 0.26/0.50 % (22281)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (22281)Termination reason: Unknown 0.26/0.50 % (22281)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (22281)Memory used [KB]: 1663 0.26/0.50 % (22281)Time elapsed: 0.004 s 0.26/0.50 % (22281)Instructions burned: 7 (million) 0.26/0.50 % (22281)------------------------------ 0.26/0.50 % (22281)------------------------------ 0.26/0.50 % (22280)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_22157 for (2399ds/3Mi) 0.26/0.50 % (22280)Instruction limit reached! 0.26/0.50 % (22280)------------------------------ 0.26/0.50 % (22280)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (22280)Termination reason: Unknown 0.26/0.50 % (22280)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (22280)Memory used [KB]: 1535 0.26/0.50 % (22280)Time elapsed: 0.004 s 0.26/0.50 % (22280)Instructions burned: 3 (million) 0.26/0.50 % (22280)------------------------------ 0.26/0.50 % (22280)------------------------------ 0.26/0.51 % (22282)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_22157 for (2399ds/3Mi) 0.26/0.51 % (22282)Instruction limit reached! 0.26/0.51 % (22282)------------------------------ 0.26/0.51 % (22282)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (22282)Termination reason: Unknown 0.26/0.51 % (22282)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (22282)Memory used [KB]: 1535 0.26/0.51 % (22282)Time elapsed: 0.004 s 0.26/0.51 % (22282)Instructions burned: 3 (million) 0.26/0.51 % (22282)------------------------------ 0.26/0.51 % (22282)------------------------------ 0.26/0.51 % (22283)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/4Mi) 0.26/0.51 % (22285)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/710Mi) 0.26/0.51 % (22284)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_22157 for (2399ds/18Mi) 0.26/0.51 % (22283)Instruction limit reached! 0.26/0.51 % (22283)------------------------------ 0.26/0.51 % (22283)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (22283)Termination reason: Unknown 0.26/0.51 % (22283)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (22283)Memory used [KB]: 1535 0.26/0.51 % (22283)Time elapsed: 0.005 s 0.26/0.51 % (22283)Instructions burned: 5 (million) 0.26/0.51 % (22283)------------------------------ 0.26/0.51 % (22283)------------------------------ 0.26/0.52 % (22284)Instruction limit reached! 0.26/0.52 % (22284)------------------------------ 0.26/0.52 % (22284)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (22284)Termination reason: Unknown 0.26/0.52 % (22284)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (22284)Memory used [KB]: 1791 0.26/0.52 % (22284)Time elapsed: 0.012 s 0.26/0.52 % (22284)Instructions burned: 19 (million) 0.26/0.52 % (22284)------------------------------ 0.26/0.52 % (22284)------------------------------ 0.26/0.52 % (22286)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_22157 for (2399ds/6Mi) 0.26/0.52 % (22286)Instruction limit reached! 0.26/0.52 % (22286)------------------------------ 0.26/0.52 % (22286)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (22286)Termination reason: Unknown 0.26/0.52 % (22286)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (22286)Memory used [KB]: 1663 0.26/0.52 % (22286)Time elapsed: 0.006 s 0.26/0.52 % (22286)Instructions burned: 7 (million) 0.26/0.52 % (22286)------------------------------ 0.26/0.52 % (22286)------------------------------ 0.26/0.52 % (22287)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_22157 for (2399ds/902Mi) 0.26/0.53 % (22288)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_22157 for (2399ds/21Mi) 0.26/0.53 % (22264)Instruction limit reached! 0.26/0.53 % (22264)------------------------------ 0.26/0.53 % (22264)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.53 % (22264)Termination reason: Unknown 0.26/0.53 % (22264)Termination phase: Function definition elimination 0.26/0.53 0.26/0.53 % (22264)Memory used [KB]: 2430 0.26/0.53 % (22264)Time elapsed: 0.081 s 0.26/0.53 % (22264)Instructions burned: 183 (million) 0.26/0.53 % (22264)------------------------------ 0.26/0.53 % (22264)------------------------------ 0.26/0.53 % (22289)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_22157 for (2398ds/5Mi) 0.26/0.54 % (22289)Instruction limit reached! 0.26/0.54 % (22289)------------------------------ 0.26/0.54 % (22289)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (22289)Termination reason: Unknown 0.26/0.54 % (22289)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (22289)Memory used [KB]: 1663 0.26/0.54 % (22289)Time elapsed: 0.005 s 0.26/0.54 % (22289)Instructions burned: 6 (million) 0.26/0.54 % (22289)------------------------------ 0.26/0.54 % (22289)------------------------------ 0.26/0.54 % (22288)Instruction limit reached! 0.26/0.54 % (22288)------------------------------ 0.26/0.54 % (22288)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (22288)Termination reason: Unknown 0.26/0.54 % (22288)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (22288)Memory used [KB]: 1791 0.26/0.54 % (22288)Time elapsed: 0.013 s 0.26/0.54 % (22288)Instructions burned: 22 (million) 0.26/0.54 % (22288)------------------------------ 0.26/0.54 % (22288)------------------------------ 0.26/0.54 % (22290)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_22157 for (2398ds/6Mi) 0.26/0.54 % (22290)Instruction limit reached! 0.26/0.54 % (22290)------------------------------ 0.26/0.54 % (22290)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (22290)Termination reason: Unknown 0.26/0.54 % (22290)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (22290)Memory used [KB]: 1663 0.26/0.54 % (22290)Time elapsed: 0.005 s 0.26/0.54 % (22290)Instructions burned: 7 (million) 0.26/0.54 % (22290)------------------------------ 0.26/0.54 % (22290)------------------------------ 0.26/0.54 % (22291)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_22157 for (2398ds/377Mi) 0.26/0.55 % (22293)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_22157 for (2398ds/19Mi) 0.26/0.55 % (22292)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_22157 for (2398ds/779Mi) 0.26/0.55 % (22294)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_22157 for (2398ds/879Mi) 0.26/0.55 % (22293)Instruction limit reached! 0.26/0.55 % (22293)------------------------------ 0.26/0.55 % (22293)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.55 % (22293)Termination reason: Unknown 0.26/0.55 % (22293)Termination phase: shuffling 0.26/0.56 0.26/0.56 % (22293)Memory used [KB]: 1791 0.26/0.56 % (22293)Time elapsed: 0.007 s 0.26/0.56 % (22293)Instructions burned: 19 (million) 0.26/0.56 % (22293)------------------------------ 0.26/0.56 % (22293)------------------------------ 1.07/0.56 % (22295)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_22157 for (2398ds/17Mi) 1.07/0.57 % (22287)Refutation not found, incomplete strategy 1.07/0.57 % (22287)------------------------------ 1.07/0.57 % (22287)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.57 % (22287)Termination reason: Refutation not found, incomplete strategy 1.07/0.57 1.07/0.57 1.07/0.57 % (22287)Memory used [KB]: 7036 1.07/0.57 % (22287)Time elapsed: 0.047 s 1.07/0.57 % (22287)Instructions burned: 138 (million) 1.07/0.57 % (22287)------------------------------ 1.07/0.57 % (22287)------------------------------ 1.07/0.57 % (22295)Instruction limit reached! 1.07/0.57 % (22295)------------------------------ 1.07/0.57 % (22295)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.57 % (22295)Termination reason: Unknown 1.07/0.57 % (22295)Termination phase: shuffling 1.07/0.57 1.07/0.57 % (22295)Memory used [KB]: 1791 1.07/0.57 % (22295)Time elapsed: 0.007 s 1.07/0.57 % (22295)Instructions burned: 17 (million) 1.07/0.57 % (22295)------------------------------ 1.07/0.57 % (22295)------------------------------ 1.07/0.58 % (22296)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_22157 for (2398ds/3Mi) 1.07/0.58 % (22297)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_22157 for (2398ds/30Mi) 1.07/0.58 % (22296)Instruction limit reached! 1.07/0.58 % (22296)------------------------------ 1.07/0.58 % (22296)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.07/0.58 % (22296)Termination reason: Unknown 1.07/0.58 % (22296)Termination phase: shuffling 1.07/0.58 1.07/0.58 % (22296)Memory used [KB]: 1535 1.07/0.58 % (22296)Time elapsed: 0.003 s 1.07/0.58 % (22296)Instructions burned: 4 (million) 1.07/0.58 % (22296)------------------------------ 1.07/0.58 % (22296)------------------------------ 1.24/0.59 % (22297)Instruction limit reached! 1.24/0.59 % (22297)------------------------------ 1.24/0.59 % (22297)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.59 % (22297)Termination reason: Unknown 1.24/0.59 % (22297)Termination phase: shuffling 1.24/0.59 1.24/0.59 % (22297)Memory used [KB]: 1918 1.24/0.59 % (22297)Time elapsed: 0.011 s 1.24/0.59 % (22297)Instructions burned: 30 (million) 1.24/0.59 % (22297)------------------------------ 1.24/0.59 % (22297)------------------------------ 1.24/0.59 % (22298)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_22157 for (2398ds/127Mi) 1.24/0.59 % (22294)Refutation not found, incomplete strategy 1.24/0.59 % (22294)------------------------------ 1.24/0.59 % (22294)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.59 % (22294)Termination reason: Refutation not found, incomplete strategy 1.24/0.59 1.24/0.59 1.24/0.59 % (22294)Memory used [KB]: 6908 1.24/0.59 % (22294)Time elapsed: 0.043 s 1.24/0.59 % (22294)Instructions burned: 137 (million) 1.24/0.59 % (22294)------------------------------ 1.24/0.59 % (22294)------------------------------ 1.24/0.60 % (22299)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_22157 for (2398ds/100Mi) 1.24/0.60 % (22300)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_22157 for (2398ds/3Mi) 1.24/0.61 % (22300)Instruction limit reached! 1.24/0.61 % (22300)------------------------------ 1.24/0.61 % (22300)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.61 % (22300)Termination reason: Unknown 1.24/0.61 % (22300)Termination phase: shuffling 1.24/0.61 1.24/0.61 % (22300)Memory used [KB]: 1535 1.24/0.61 % (22300)Time elapsed: 0.003 s 1.24/0.61 % (22300)Instructions burned: 4 (million) 1.24/0.61 % (22300)------------------------------ 1.24/0.61 % (22300)------------------------------ 1.24/0.61 % (22301)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_22157 for (2398ds/20Mi) 1.24/0.62 % (22301)Instruction limit reached! 1.24/0.62 % (22301)------------------------------ 1.24/0.62 % (22301)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.62 % (22301)Termination reason: Unknown 1.24/0.62 % (22301)Termination phase: shuffling 1.24/0.62 1.24/0.62 % (22301)Memory used [KB]: 1791 1.24/0.62 % (22301)Time elapsed: 0.008 s 1.24/0.62 % (22301)Instructions burned: 20 (million) 1.24/0.62 % (22301)------------------------------ 1.24/0.62 % (22301)------------------------------ 1.24/0.62 % (22298)Instruction limit reached! 1.24/0.62 % (22298)------------------------------ 1.24/0.62 % (22298)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.62 % (22298)Termination reason: Unknown 1.24/0.62 % (22298)Termination phase: Function definition elimination 1.24/0.62 1.24/0.62 % (22298)Memory used [KB]: 2302 1.24/0.62 % (22298)Time elapsed: 0.036 s 1.24/0.62 % (22298)Instructions burned: 127 (million) 1.24/0.62 % (22298)------------------------------ 1.24/0.62 % (22298)------------------------------ 1.24/0.62 % (22299)Instruction limit reached! 1.24/0.62 % (22299)------------------------------ 1.24/0.62 % (22299)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.24/0.62 % (22299)Termination reason: Unknown 1.24/0.62 % (22299)Termination phase: Function definition elimination 1.24/0.62 1.24/0.62 % (22299)Memory used [KB]: 2302 1.24/0.62 % (22299)Time elapsed: 0.029 s 1.24/0.62 % (22299)Instructions burned: 101 (million) 1.24/0.62 % (22299)------------------------------ 1.24/0.62 % (22299)------------------------------ 1.24/0.63 % (22302)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_22157 for (2398ds/86Mi) 1.24/0.63 % (22303)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_22157 for (2398ds/107Mi) 1.60/0.63 % (22304)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_22157 for (2397ds/39Mi) 1.60/0.64 % (22291)Instruction limit reached! 1.60/0.64 % (22291)------------------------------ 1.60/0.64 % (22291)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.64 % (22291)Termination reason: Unknown 1.60/0.64 % (22291)Termination phase: Function definition elimination 1.60/0.64 1.60/0.64 % (22291)Memory used [KB]: 2430 1.60/0.64 % (22291)Time elapsed: 0.090 s 1.60/0.64 % (22291)Instructions burned: 378 (million) 1.60/0.64 % (22291)------------------------------ 1.60/0.64 % (22291)------------------------------ 1.60/0.65 % (22304)Instruction limit reached! 1.60/0.65 % (22304)------------------------------ 1.60/0.65 % (22304)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.60/0.65 % (22304)Termination reason: Unknown 1.60/0.65 % (22304)Termination phase: Property scanning 1.60/0.65 1.60/0.65 % (22304)Memory used [KB]: 2174 1.60/0.65 % (22304)Time elapsed: 0.014 s 1.60/0.65 % (22304)Instructions burned: 42 (million) 1.60/0.65 % (22304)------------------------------ 1.60/0.65 % (22304)------------------------------ 1.60/0.65 % (22305)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_22157 for (2397ds/448Mi) 1.66/0.66 % (22302)Instruction limit reached! 1.66/0.66 % (22302)------------------------------ 1.66/0.66 % (22302)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.66/0.66 % (22302)Termination reason: Unknown 1.66/0.66 % (22302)Termination phase: Function definition elimination 1.66/0.66 1.66/0.66 % (22302)Memory used [KB]: 2302 1.66/0.66 % (22302)Time elapsed: 0.027 s 1.66/0.66 % (22302)Instructions burned: 89 (million) 1.66/0.66 % (22302)------------------------------ 1.66/0.66 % (22302)------------------------------ 1.66/0.66 % (22306)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_22157 for (2397ds/46Mi) 1.66/0.66 % (22303)Instruction limit reached! 1.66/0.66 % (22303)------------------------------ 1.66/0.66 % (22303)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.66/0.66 % (22303)Termination reason: Unknown 1.66/0.66 % (22303)Termination phase: Property scanning 1.66/0.66 1.66/0.66 % (22303)Memory used [KB]: 2302 1.66/0.66 % (22303)Time elapsed: 0.032 s 1.66/0.66 % (22303)Instructions burned: 109 (million) 1.66/0.66 % (22303)------------------------------ 1.66/0.66 % (22303)------------------------------ 1.66/0.66 % (22307)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_22157 for (2397ds/98Mi) 1.66/0.67 % (22306)Instruction limit reached! 1.66/0.67 % (22306)------------------------------ 1.66/0.67 % (22306)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.66/0.67 % (22306)Termination reason: Unknown 1.66/0.67 % (22306)Termination phase: Property scanning 1.66/0.67 1.66/0.67 % (22306)Memory used [KB]: 2174 1.66/0.67 % (22306)Time elapsed: 0.016 s 1.66/0.67 % (22306)Instructions burned: 46 (million) 1.66/0.67 % (22306)------------------------------ 1.66/0.67 % (22306)------------------------------ 1.66/0.67 % (22308)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_22157 for (2397ds/507Mi) 1.66/0.68 % (22309)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_22157 for (2397ds/149Mi) 1.66/0.69 % (22307)Instruction limit reached! 1.66/0.69 % (22307)------------------------------ 1.66/0.69 % (22307)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.66/0.69 % (22307)Termination reason: Unknown 1.66/0.69 % (22307)Termination phase: Function definition elimination 1.66/0.69 1.66/0.69 % (22307)Memory used [KB]: 2302 1.66/0.69 % (22307)Time elapsed: 0.028 s 1.66/0.69 % (22307)Instructions burned: 98 (million) 1.66/0.69 % (22307)------------------------------ 1.66/0.69 % (22307)------------------------------ 1.66/0.70 % (22310)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_22157 for (2397ds/39Mi) 1.98/0.71 % (22310)Instruction limit reached! 1.98/0.71 % (22310)------------------------------ 1.98/0.71 % (22310)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.71 % (22310)Termination reason: Unknown 1.98/0.71 % (22310)Termination phase: shuffling 1.98/0.71 1.98/0.71 % (22310)Memory used [KB]: 2174 1.98/0.71 % (22310)Time elapsed: 0.014 s 1.98/0.71 % (22310)Instructions burned: 39 (million) 1.98/0.71 % (22310)------------------------------ 1.98/0.71 % (22310)------------------------------ 1.98/0.72 % (22309)Instruction limit reached! 1.98/0.72 % (22309)------------------------------ 1.98/0.72 % (22309)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.72 % (22309)Termination reason: Unknown 1.98/0.72 % (22309)Termination phase: Function definition elimination 1.98/0.72 1.98/0.72 % (22309)Memory used [KB]: 2302 1.98/0.72 % (22309)Time elapsed: 0.040 s 1.98/0.72 % (22309)Instructions burned: 149 (million) 1.98/0.72 % (22309)------------------------------ 1.98/0.72 % (22309)------------------------------ 1.98/0.72 % (22311)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_22157 for (2396ds/6Mi) 1.98/0.72 % (22276)Instruction limit reached! 1.98/0.72 % (22276)------------------------------ 1.98/0.72 % (22276)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.72 % (22276)Termination reason: Unknown 1.98/0.72 % (22276)Termination phase: Function definition elimination 1.98/0.72 1.98/0.72 % (22276)Memory used [KB]: 2430 1.98/0.72 % (22276)Time elapsed: 0.245 s 1.98/0.72 % (22276)Instructions burned: 1042 (million) 1.98/0.72 % (22276)------------------------------ 1.98/0.72 % (22276)------------------------------ 1.98/0.72 % (22311)Instruction limit reached! 1.98/0.72 % (22311)------------------------------ 1.98/0.72 % (22311)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.72 % (22311)Termination reason: Unknown 1.98/0.72 % (22311)Termination phase: shuffling 1.98/0.72 1.98/0.72 % (22311)Memory used [KB]: 1663 1.98/0.72 % (22311)Time elapsed: 0.004 s 1.98/0.72 % (22311)Instructions burned: 7 (million) 1.98/0.72 % (22311)------------------------------ 1.98/0.72 % (22311)------------------------------ 1.98/0.73 % (22312)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_22157 for (2396ds/1087Mi) 1.98/0.73 % (22313)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_22157 for (2396ds/47Mi) 1.98/0.73 % (22314)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_22157 for (2396ds/44Mi) 1.98/0.74 % (22285)Instruction limit reached! 1.98/0.74 % (22285)------------------------------ 1.98/0.74 % (22285)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.74 % (22285)Termination reason: Unknown 1.98/0.74 % (22285)Termination phase: Saturation 1.98/0.74 1.98/0.74 % (22285)Memory used [KB]: 7675 1.98/0.74 % (22285)Time elapsed: 0.230 s 1.98/0.74 % (22285)Instructions burned: 710 (million) 1.98/0.74 % (22285)------------------------------ 1.98/0.74 % (22285)------------------------------ 1.98/0.75 % (22314)Instruction limit reached! 1.98/0.75 % (22314)------------------------------ 1.98/0.75 % (22314)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.75 % (22314)Termination reason: Unknown 1.98/0.75 % (22314)Termination phase: Property scanning 1.98/0.75 1.98/0.75 % (22314)Memory used [KB]: 2174 1.98/0.75 % (22314)Time elapsed: 0.015 s 1.98/0.75 % (22314)Instructions burned: 46 (million) 1.98/0.75 % (22314)------------------------------ 1.98/0.75 % (22314)------------------------------ 1.98/0.75 % (22313)Instruction limit reached! 1.98/0.75 % (22313)------------------------------ 1.98/0.75 % (22313)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.98/0.75 % (22313)Termination reason: Unknown 1.98/0.75 % (22313)Termination phase: Property scanning 1.98/0.75 1.98/0.75 % (22313)Memory used [KB]: 2174 1.98/0.75 % (22313)Time elapsed: 0.016 s 1.98/0.75 % (22313)Instructions burned: 48 (million) 1.98/0.75 % (22313)------------------------------ 1.98/0.75 % (22313)------------------------------ 1.98/0.75 % (22315)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_22157 for (2396ds/432Mi) 1.98/0.76 % (22316)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_22157 for (2396ds/62Mi) 1.98/0.76 % (22317)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_22157 for (2396ds/31Mi) 2.22/0.77 % (22317)Instruction limit reached! 2.22/0.77 % (22317)------------------------------ 2.22/0.77 % (22317)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.77 % (22317)Termination reason: Unknown 2.22/0.77 % (22317)Termination phase: shuffling 2.22/0.77 2.22/0.77 % (22317)Memory used [KB]: 2046 2.22/0.77 % (22317)Time elapsed: 0.012 s 2.22/0.77 % (22317)Instructions burned: 33 (million) 2.22/0.77 % (22317)------------------------------ 2.22/0.77 % (22317)------------------------------ 2.22/0.77 % (22312)Refutation not found, incomplete strategy 2.22/0.77 % (22312)------------------------------ 2.22/0.77 % (22312)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.77 % (22312)Termination reason: Refutation not found, incomplete strategy 2.22/0.77 2.22/0.77 2.22/0.77 % (22312)Memory used [KB]: 6908 2.22/0.77 % (22312)Time elapsed: 0.044 s 2.22/0.77 % (22312)Instructions burned: 137 (million) 2.22/0.77 % (22312)------------------------------ 2.22/0.77 % (22312)------------------------------ 2.22/0.77 % (22316)Instruction limit reached! 2.22/0.77 % (22316)------------------------------ 2.22/0.77 % (22316)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.77 % (22316)Termination reason: Unknown 2.22/0.77 % (22316)Termination phase: Property scanning 2.22/0.77 2.22/0.77 % (22316)Memory used [KB]: 2174 2.22/0.77 % (22316)Time elapsed: 0.019 s 2.22/0.77 % (22316)Instructions burned: 63 (million) 2.22/0.77 % (22316)------------------------------ 2.22/0.77 % (22316)------------------------------ 2.22/0.78 % (22318)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_22157 for (2396ds/96Mi) 2.22/0.78 % (22319)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_22157 for (2396ds/453Mi) 2.22/0.78 % (22308)Instruction limit reached! 2.22/0.78 % (22308)------------------------------ 2.22/0.78 % (22308)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.78 % (22308)Termination reason: Unknown 2.22/0.78 % (22308)Termination phase: Function definition elimination 2.22/0.78 2.22/0.78 % (22308)Memory used [KB]: 2430 2.22/0.78 % (22308)Time elapsed: 0.111 s 2.22/0.78 % (22308)Instructions burned: 508 (million) 2.22/0.78 % (22308)------------------------------ 2.22/0.78 % (22308)------------------------------ 2.22/0.78 % (22320)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_22157 for (2396ds/71Mi) 2.22/0.79 % (22305)Instruction limit reached! 2.22/0.79 % (22305)------------------------------ 2.22/0.79 % (22305)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.79 % (22305)Termination reason: Unknown 2.22/0.79 % (22305)Termination phase: Saturation 2.22/0.79 2.22/0.79 % (22305)Memory used [KB]: 7547 2.22/0.79 % (22305)Time elapsed: 0.162 s 2.22/0.79 % (22305)Instructions burned: 449 (million) 2.22/0.79 % (22305)------------------------------ 2.22/0.79 % (22305)------------------------------ 2.22/0.79 % (22321)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_22157 for (2396ds/83Mi) 2.22/0.80 % (22322)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_22157 for (2396ds/11Mi) 2.22/0.80 % (22322)Instruction limit reached! 2.22/0.80 % (22322)------------------------------ 2.22/0.80 % (22322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.80 % (22322)Termination reason: Unknown 2.22/0.80 % (22322)Termination phase: shuffling 2.22/0.80 2.22/0.80 % (22322)Memory used [KB]: 1791 2.22/0.80 % (22322)Time elapsed: 0.005 s 2.22/0.80 % (22322)Instructions burned: 12 (million) 2.22/0.80 % (22322)------------------------------ 2.22/0.80 % (22322)------------------------------ 2.22/0.80 % (22318)Instruction limit reached! 2.22/0.80 % (22318)------------------------------ 2.22/0.80 % (22318)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.80 % (22318)Termination reason: Unknown 2.22/0.80 % (22318)Termination phase: Function definition elimination 2.22/0.80 2.22/0.80 % (22318)Memory used [KB]: 2302 2.22/0.80 % (22318)Time elapsed: 0.029 s 2.22/0.80 % (22318)Instructions burned: 97 (million) 2.22/0.80 % (22318)------------------------------ 2.22/0.80 % (22318)------------------------------ 2.22/0.80 % (22320)Instruction limit reached! 2.22/0.80 % (22320)------------------------------ 2.22/0.80 % (22320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.80 % (22320)Termination reason: Unknown 2.22/0.80 % (22320)Termination phase: Property scanning 2.22/0.80 2.22/0.80 % (22320)Memory used [KB]: 2302 2.22/0.80 % (22320)Time elapsed: 0.023 s 2.22/0.80 % (22320)Instructions burned: 73 (million) 2.22/0.80 % (22320)------------------------------ 2.22/0.80 % (22320)------------------------------ 2.22/0.81 % (22323)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_22157 for (2396ds/41Mi) 2.22/0.81 % (22292)Instruction limit reached! 2.22/0.81 % (22292)------------------------------ 2.22/0.81 % (22292)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.81 % (22292)Termination reason: Unknown 2.22/0.81 % (22292)Termination phase: Saturation 2.22/0.81 2.22/0.81 % (22292)Memory used [KB]: 9210 2.22/0.81 % (22292)Time elapsed: 0.259 s 2.22/0.81 % (22292)Instructions burned: 781 (million) 2.22/0.81 % (22292)------------------------------ 2.22/0.81 % (22292)------------------------------ 2.22/0.81 % (22324)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_22157 for (2396ds/6Mi) 2.22/0.81 % (22325)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_22157 for (2396ds/150Mi) 2.22/0.81 % (22324)Instruction limit reached! 2.22/0.81 % (22324)------------------------------ 2.22/0.81 % (22324)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.81 % (22324)Termination reason: Unknown 2.22/0.81 % (22324)Termination phase: shuffling 2.22/0.81 2.22/0.81 % (22324)Memory used [KB]: 1663 2.22/0.81 % (22324)Time elapsed: 0.004 s 2.22/0.81 % (22324)Instructions burned: 7 (million) 2.22/0.81 % (22324)------------------------------ 2.22/0.81 % (22324)------------------------------ 2.22/0.81 % (22321)Instruction limit reached! 2.22/0.81 % (22321)------------------------------ 2.22/0.81 % (22321)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.81 % (22321)Termination reason: Unknown 2.22/0.81 % (22321)Termination phase: Preprocessing 3 2.22/0.81 2.22/0.82 % (22321)Memory used [KB]: 2174 2.22/0.82 % (22321)Time elapsed: 0.026 s 2.22/0.82 % (22321)Instructions burned: 84 (million) 2.22/0.82 % (22321)------------------------------ 2.22/0.82 % (22321)------------------------------ 2.22/0.82 % (22326)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_22157 for (2396ds/343Mi) 2.22/0.82 % (22323)Instruction limit reached! 2.22/0.82 % (22323)------------------------------ 2.22/0.82 % (22323)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.22/0.82 % (22323)Termination reason: Unknown 2.22/0.82 % (22323)Termination phase: Property scanning 2.22/0.82 2.22/0.82 % (22323)Memory used [KB]: 2174 2.22/0.82 % (22323)Time elapsed: 0.012 s 2.22/0.82 % (22323)Instructions burned: 42 (million) 2.22/0.82 % (22323)------------------------------ 2.22/0.82 % (22323)------------------------------ 2.22/0.82 % (22327)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_22157 for (2396ds/109Mi) 2.22/0.82 % (22328)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_22157 for (2395ds/253Mi) 2.22/0.83 % (22329)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_22157 for (2395ds/140Mi) 2.78/0.85 % (22315)Instruction limit reached! 2.78/0.85 % (22315)------------------------------ 2.78/0.85 % (22315)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.85 % (22315)Termination reason: Unknown 2.78/0.85 % (22315)Termination phase: Function definition elimination 2.78/0.85 2.78/0.85 % (22315)Memory used [KB]: 2430 2.78/0.85 % (22315)Time elapsed: 0.096 s 2.78/0.85 % (22315)Instructions burned: 433 (million) 2.78/0.85 % (22315)------------------------------ 2.78/0.85 % (22315)------------------------------ 2.78/0.85 % (22325)Instruction limit reached! 2.78/0.85 % (22325)------------------------------ 2.78/0.85 % (22325)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.85 % (22325)Termination reason: Unknown 2.78/0.85 % (22325)Termination phase: Function definition elimination 2.78/0.85 2.78/0.85 % (22325)Memory used [KB]: 2302 2.78/0.85 % (22325)Time elapsed: 0.040 s 2.78/0.85 % (22325)Instructions burned: 151 (million) 2.78/0.85 % (22325)------------------------------ 2.78/0.85 % (22325)------------------------------ 2.78/0.85 % (22329)Refutation not found, incomplete strategy 2.78/0.85 % (22329)------------------------------ 2.78/0.85 % (22329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.85 % (22329)Termination reason: Refutation not found, incomplete strategy 2.78/0.85 2.78/0.85 2.78/0.85 % (22329)Memory used [KB]: 6780 2.78/0.85 % (22329)Time elapsed: 0.025 s 2.78/0.85 % (22329)Instructions burned: 84 (million) 2.78/0.85 % (22329)------------------------------ 2.78/0.85 % (22329)------------------------------ 2.78/0.85 % (22327)Instruction limit reached! 2.78/0.85 % (22327)------------------------------ 2.78/0.85 % (22327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.85 % (22327)Termination reason: Unknown 2.78/0.85 % (22327)Termination phase: Function definition elimination 2.78/0.85 2.78/0.85 % (22327)Memory used [KB]: 2302 2.78/0.85 % (22327)Time elapsed: 0.033 s 2.78/0.85 % (22327)Instructions burned: 112 (million) 2.78/0.85 % (22327)------------------------------ 2.78/0.85 % (22327)------------------------------ 2.78/0.86 % (22330)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_22157 for (2395ds/614Mi) 2.78/0.86 % (22328)Refutation not found, incomplete strategy 2.78/0.86 % (22328)------------------------------ 2.78/0.86 % (22328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.86 % (22328)Termination reason: Refutation not found, incomplete strategy 2.78/0.86 2.78/0.86 2.78/0.86 % (22328)Memory used [KB]: 6908 2.78/0.86 % (22328)Time elapsed: 0.035 s 2.78/0.86 % (22328)Instructions burned: 115 (million) 2.78/0.86 % (22328)------------------------------ 2.78/0.86 % (22328)------------------------------ 2.78/0.86 % (22331)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_22157 for (2395ds/202Mi) 2.78/0.86 % (22332)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_22157 for (2395ds/339Mi) 2.78/0.86 % (22333)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_22157 for (2395ds/283Mi) 2.78/0.87 % (22334)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_22157 for (2395ds/134Mi) 2.78/0.88 % (22319)Instruction limit reached! 2.78/0.88 % (22319)------------------------------ 2.78/0.88 % (22319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.78/0.88 % (22319)Termination reason: Unknown 2.78/0.88 % (22319)Termination phase: Function definition elimination 2.78/0.88 2.78/0.88 % (22319)Memory used [KB]: 2430 2.78/0.88 % (22319)Time elapsed: 0.101 s 2.78/0.88 % (22319)Instructions burned: 457 (million) 2.78/0.88 % (22319)------------------------------ 2.78/0.88 % (22319)------------------------------ 3.16/0.89 % (22331)Refutation not found, incomplete strategy 3.16/0.89 % (22331)------------------------------ 3.16/0.89 % (22331)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.16/0.89 % (22331)Termination reason: Refutation not found, incomplete strategy 3.16/0.89 3.16/0.89 3.16/0.89 % (22331)Memory used [KB]: 6780 3.16/0.89 % (22331)Time elapsed: 0.028 s 3.16/0.89 % (22331)Instructions burned: 87 (million) 3.16/0.89 % (22331)------------------------------ 3.16/0.89 % (22331)------------------------------ 3.16/0.89 % (22335)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_22157 for (2395ds/298Mi) 3.16/0.90 % (22336)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_22157 for (2395ds/192Mi) 3.16/0.90 % (22334)Instruction limit reached! 3.16/0.90 % (22334)------------------------------ 3.16/0.90 % (22334)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.16/0.90 % (22334)Termination reason: Unknown 3.16/0.90 % (22334)Termination phase: Function definition elimination 3.16/0.90 3.16/0.90 % (22334)Memory used [KB]: 2302 3.16/0.90 % (22334)Time elapsed: 0.035 s 3.16/0.90 % (22334)Instructions burned: 136 (million) 3.16/0.90 % (22334)------------------------------ 3.16/0.90 % (22334)------------------------------ 3.16/0.91 % (22337)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_22157 for (2395ds/258Mi) 3.16/0.92 % (22326)Instruction limit reached! 3.16/0.92 % (22326)------------------------------ 3.16/0.92 % (22326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.16/0.92 % (22326)Termination reason: Unknown 3.16/0.92 % (22326)Termination phase: Saturation 3.16/0.92 3.16/0.92 % (22326)Memory used [KB]: 7291 3.16/0.92 % (22326)Time elapsed: 0.107 s 3.16/0.92 % (22326)Instructions burned: 343 (million) 3.16/0.92 % (22326)------------------------------ 3.16/0.92 % (22326)------------------------------ 3.16/0.92 % (22333)Instruction limit reached! 3.16/0.92 % (22333)------------------------------ 3.16/0.92 % (22333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.16/0.92 % (22333)Termination reason: Unknown 3.16/0.92 % (22333)Termination phase: Function definition elimination 3.16/0.92 3.16/0.92 % (22333)Memory used [KB]: 2430 3.16/0.92 % (22333)Time elapsed: 0.062 s 3.16/0.92 % (22333)Instructions burned: 283 (million) 3.16/0.92 % (22333)------------------------------ 3.16/0.92 % (22333)------------------------------ 3.16/0.93 % (22338)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_22157 for (2394ds/90Mi) 3.16/0.93 % (22332)Instruction limit reached! 3.16/0.93 % (22332)------------------------------ 3.16/0.93 % (22332)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.16/0.93 % (22332)Termination reason: Unknown 3.16/0.93 % (22332)Termination phase: Function definition elimination 3.16/0.93 3.16/0.93 % (22332)Memory used [KB]: 2430 3.16/0.93 % (22332)Time elapsed: 0.072 s 3.16/0.93 % (22332)Instructions burned: 339 (million) 3.16/0.93 % (22332)------------------------------ 3.16/0.93 % (22332)------------------------------ 3.16/0.93 % (22339)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_22157 for (2394ds/231Mi) 3.51/0.94 % (22336)Instruction limit reached! 3.51/0.94 % (22336)------------------------------ 3.51/0.94 % (22336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.51/0.94 % (22336)Termination reason: Unknown 3.51/0.94 % (22336)Termination phase: Function definition elimination 3.51/0.94 3.51/0.94 % (22336)Memory used [KB]: 2430 3.51/0.94 % (22336)Time elapsed: 0.044 s 3.51/0.94 % (22336)Instructions burned: 196 (million) 3.51/0.94 % (22336)------------------------------ 3.51/0.94 % (22336)------------------------------ 3.51/0.94 % (22340)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_22157 for (2394ds/458Mi) 3.51/0.95 % (22341)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_22157 for (2394ds/31Mi) 3.56/0.95 % (22335)Instruction limit reached! 3.56/0.95 % (22335)------------------------------ 3.56/0.95 % (22335)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.95 % (22335)Termination reason: Unknown 3.56/0.95 % (22335)Termination phase: Function definition elimination 3.56/0.95 3.56/0.95 % (22335)Memory used [KB]: 2430 3.56/0.95 % (22335)Time elapsed: 0.063 s 3.56/0.95 % (22335)Instructions burned: 301 (million) 3.56/0.95 % (22335)------------------------------ 3.56/0.95 % (22335)------------------------------ 3.56/0.95 % (22338)Instruction limit reached! 3.56/0.95 % (22338)------------------------------ 3.56/0.95 % (22338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.95 % (22338)Termination reason: Unknown 3.56/0.95 % (22338)Termination phase: Function definition elimination 3.56/0.95 3.56/0.95 % (22338)Memory used [KB]: 2302 3.56/0.95 % (22338)Time elapsed: 0.025 s 3.56/0.95 % (22338)Instructions burned: 92 (million) 3.56/0.95 % (22338)------------------------------ 3.56/0.95 % (22338)------------------------------ 3.56/0.96 % (22341)Instruction limit reached! 3.56/0.96 % (22341)------------------------------ 3.56/0.96 % (22341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.96 % (22341)Termination reason: Unknown 3.56/0.96 % (22341)Termination phase: shuffling 3.56/0.96 3.56/0.96 % (22341)Memory used [KB]: 2046 3.56/0.96 % (22341)Time elapsed: 0.010 s 3.56/0.96 % (22341)Instructions burned: 32 (million) 3.56/0.96 % (22341)------------------------------ 3.56/0.96 % (22341)------------------------------ 3.56/0.96 % (22342)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_22157 for (2394ds/297Mi) 3.56/0.96 % (22343)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_22157 for (2394ds/987Mi) 3.56/0.96 % (22344)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_22157 for (2394ds/182Mi) 3.56/0.98 % (22330)Instruction limit reached! 3.56/0.98 % (22330)------------------------------ 3.56/0.98 % (22330)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.98 % (22330)Termination reason: Unknown 3.56/0.98 % (22330)Termination phase: Function definition elimination 3.56/0.98 3.56/0.98 % (22330)Memory used [KB]: 2430 3.56/0.98 % (22330)Time elapsed: 0.125 s 3.56/0.98 % (22330)Instructions burned: 617 (million) 3.56/0.98 % (22330)------------------------------ 3.56/0.98 % (22330)------------------------------ 3.56/0.98 % (22339)Instruction limit reached! 3.56/0.98 % (22339)------------------------------ 3.56/0.98 % (22339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.98 % (22339)Termination reason: Unknown 3.56/0.98 % (22339)Termination phase: Function definition elimination 3.56/0.98 3.56/0.98 % (22339)Memory used [KB]: 2430 3.56/0.98 % (22339)Time elapsed: 0.050 s 3.56/0.98 % (22339)Instructions burned: 233 (million) 3.56/0.98 % (22339)------------------------------ 3.56/0.98 % (22339)------------------------------ 3.56/0.98 % (22337)Instruction limit reached! 3.56/0.98 % (22337)------------------------------ 3.56/0.98 % (22337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/0.98 % (22337)Termination reason: Unknown 3.56/0.98 % (22337)Termination phase: Saturation 3.56/0.98 3.56/0.98 % (22337)Memory used [KB]: 7164 3.56/0.98 % (22337)Time elapsed: 0.074 s 3.56/0.98 % (22337)Instructions burned: 258 (million) 3.56/0.98 % (22337)------------------------------ 3.56/0.98 % (22337)------------------------------ 3.56/0.99 % (22345)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_22157 for (2394ds/182Mi) 3.56/0.99 % (22346)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_22157 for (2394ds/154Mi) 3.56/0.99 % (22347)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_22157 for (2394ds/79Mi) 3.56/1.01 % (22344)Instruction limit reached! 3.56/1.01 % (22344)------------------------------ 3.56/1.01 % (22344)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.56/1.01 % (22344)Termination reason: Unknown 3.56/1.01 % (22344)Termination phase: Function definition elimination 3.56/1.01 3.56/1.01 % (22344)Memory used [KB]: 2430 3.56/1.01 % (22344)Time elapsed: 0.043 s 3.56/1.01 % (22344)Instructions burned: 184 (million) 3.56/1.01 % (22344)------------------------------ 3.56/1.01 % (22344)------------------------------ 4.00/1.01 % (22347)Instruction limit reached! 4.00/1.01 % (22347)------------------------------ 4.00/1.01 % (22347)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.01 % (22347)Termination reason: Unknown 4.00/1.01 % (22347)Termination phase: Property scanning 4.00/1.01 4.00/1.01 % (22347)Memory used [KB]: 2302 4.00/1.01 % (22347)Time elapsed: 0.022 s 4.00/1.01 % (22347)Instructions burned: 79 (million) 4.00/1.01 % (22347)------------------------------ 4.00/1.01 % (22347)------------------------------ 4.00/1.01 % (22348)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_22157 for (2393ds/216Mi) 4.00/1.02 % (22349)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_22157 for (2393ds/114Mi) 4.00/1.02 % (22346)Instruction limit reached! 4.00/1.02 % (22346)------------------------------ 4.00/1.02 % (22346)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.02 % (22346)Termination reason: Unknown 4.00/1.02 % (22346)Termination phase: Function definition elimination 4.00/1.02 4.00/1.02 % (22346)Memory used [KB]: 2430 4.00/1.02 % (22346)Time elapsed: 0.036 s 4.00/1.02 % (22346)Instructions burned: 155 (million) 4.00/1.02 % (22346)------------------------------ 4.00/1.02 % (22346)------------------------------ 4.00/1.03 % (22340)Instruction limit reached! 4.00/1.03 % (22340)------------------------------ 4.00/1.03 % (22340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.03 % (22340)Termination reason: Unknown 4.00/1.03 % (22340)Termination phase: Function definition elimination 4.00/1.03 4.00/1.03 % (22340)Memory used [KB]: 2430 4.00/1.03 % (22340)Time elapsed: 0.094 s 4.00/1.03 % (22340)Instructions burned: 460 (million) 4.00/1.03 % (22340)------------------------------ 4.00/1.03 % (22340)------------------------------ 4.00/1.03 % (22350)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_22157 for (2393ds/922Mi) 4.00/1.04 % (22342)Instruction limit reached! 4.00/1.04 % (22342)------------------------------ 4.00/1.04 % (22342)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.04 % (22342)Termination reason: Unknown 4.00/1.04 % (22342)Termination phase: Saturation 4.00/1.04 4.00/1.04 % (22342)Memory used [KB]: 7164 4.00/1.04 % (22342)Time elapsed: 0.084 s 4.00/1.04 % (22342)Instructions burned: 299 (million) 4.00/1.04 % (22342)------------------------------ 4.00/1.04 % (22342)------------------------------ 4.00/1.04 % (22345)Instruction limit reached! 4.00/1.04 % (22345)------------------------------ 4.00/1.04 % (22345)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.04 % (22345)Termination reason: Unknown 4.00/1.04 % (22345)Termination phase: Saturation 4.00/1.04 4.00/1.04 % (22345)Memory used [KB]: 7036 4.00/1.04 % (22345)Time elapsed: 0.074 s 4.00/1.04 % (22345)Instructions burned: 184 (million) 4.00/1.04 % (22345)------------------------------ 4.00/1.04 % (22345)------------------------------ 4.00/1.04 % (22351)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_22157 for (2393ds/182Mi) 4.00/1.05 % (22352)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_22157 for (2393ds/164Mi) 4.00/1.05 % (22353)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_22157 for (2393ds/50Mi) 4.00/1.05 % (22349)Instruction limit reached! 4.00/1.05 % (22349)------------------------------ 4.00/1.05 % (22349)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.05 % (22349)Termination reason: Unknown 4.00/1.05 % (22349)Termination phase: Function definition elimination 4.00/1.05 4.00/1.05 % (22349)Memory used [KB]: 2302 4.00/1.05 % (22349)Time elapsed: 0.030 s 4.00/1.05 % (22349)Instructions burned: 117 (million) 4.00/1.05 % (22349)------------------------------ 4.00/1.05 % (22349)------------------------------ 4.00/1.06 % (22354)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_22157 for (2393ds/368Mi) 4.00/1.06 % (22353)Instruction limit reached! 4.00/1.06 % (22353)------------------------------ 4.00/1.06 % (22353)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.00/1.06 % (22353)Termination reason: Unknown 4.00/1.06 % (22353)Termination phase: Property scanning 4.00/1.06 4.00/1.06 % (22353)Memory used [KB]: 2174 4.00/1.06 % (22353)Time elapsed: 0.014 s 4.00/1.06 % (22353)Instructions burned: 50 (million) 4.00/1.06 % (22353)------------------------------ 4.00/1.06 % (22353)------------------------------ 4.63/1.07 % (22355)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_22157 for (2393ds/1021Mi) 4.63/1.07 % (22348)Instruction limit reached! 4.63/1.07 % (22348)------------------------------ 4.63/1.07 % (22348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.07 % (22348)Termination reason: Unknown 4.63/1.07 % (22348)Termination phase: Saturation 4.63/1.07 4.63/1.07 % (22348)Memory used [KB]: 7291 4.63/1.07 % (22348)Time elapsed: 0.060 s 4.63/1.07 % (22348)Instructions burned: 216 (million) 4.63/1.07 % (22348)------------------------------ 4.63/1.07 % (22348)------------------------------ 4.63/1.08 % (22356)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_22157 for (2393ds/267Mi) 4.63/1.09 % (22351)Instruction limit reached! 4.63/1.09 % (22351)------------------------------ 4.63/1.09 % (22351)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.09 % (22351)Termination reason: Unknown 4.63/1.09 % (22351)Termination phase: Function definition elimination 4.63/1.09 4.63/1.09 % (22351)Memory used [KB]: 2430 4.63/1.09 % (22351)Time elapsed: 0.043 s 4.63/1.09 % (22351)Instructions burned: 182 (million) 4.63/1.09 % (22351)------------------------------ 4.63/1.09 % (22351)------------------------------ 4.63/1.09 % (22352)Instruction limit reached! 4.63/1.09 % (22352)------------------------------ 4.63/1.09 % (22352)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.09 % (22352)Termination reason: Unknown 4.63/1.09 % (22352)Termination phase: Saturation 4.63/1.09 4.63/1.09 % (22352)Memory used [KB]: 2558 4.63/1.09 % (22352)Time elapsed: 0.046 s 4.63/1.09 % (22352)Instructions burned: 166 (million) 4.63/1.09 % (22352)------------------------------ 4.63/1.09 % (22352)------------------------------ 4.63/1.09 % (22357)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_22157 for (2393ds/204Mi) 4.63/1.10 % (22358)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_22157 for (2393ds/26Mi) 4.63/1.11 % (22358)Instruction limit reached! 4.63/1.11 % (22358)------------------------------ 4.63/1.11 % (22358)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.11 % (22358)Termination reason: Unknown 4.63/1.11 % (22358)Termination phase: shuffling 4.63/1.11 4.63/1.11 % (22358)Memory used [KB]: 2046 4.63/1.11 % (22358)Time elapsed: 0.009 s 4.63/1.11 % (22358)Instructions burned: 29 (million) 4.63/1.11 % (22358)------------------------------ 4.63/1.11 % (22358)------------------------------ 4.63/1.12 % (22359)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_22157 for (2392ds/53Mi) 4.63/1.13 % (22359)Instruction limit reached! 4.63/1.13 % (22359)------------------------------ 4.63/1.13 % (22359)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.13 % (22359)Termination reason: Unknown 4.63/1.13 % (22359)Termination phase: Property scanning 4.63/1.13 4.63/1.13 % (22359)Memory used [KB]: 2174 4.63/1.13 % (22359)Time elapsed: 0.015 s 4.63/1.13 % (22359)Instructions burned: 54 (million) 4.63/1.13 % (22359)------------------------------ 4.63/1.13 % (22359)------------------------------ 4.63/1.14 % (22356)Instruction limit reached! 4.63/1.14 % (22356)------------------------------ 4.63/1.14 % (22356)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.14 % (22356)Termination reason: Unknown 4.63/1.14 % (22356)Termination phase: Function definition elimination 4.63/1.14 4.63/1.14 % (22356)Memory used [KB]: 2430 4.63/1.14 % (22356)Time elapsed: 0.057 s 4.63/1.14 % (22356)Instructions burned: 271 (million) 4.63/1.14 % (22356)------------------------------ 4.63/1.14 % (22356)------------------------------ 4.63/1.14 % (22360)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_22157 for (2392ds/4436Mi) 4.63/1.14 % (22357)Instruction limit reached! 4.63/1.14 % (22357)------------------------------ 4.63/1.14 % (22357)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.14 % (22357)Termination reason: Unknown 4.63/1.14 % (22357)Termination phase: Function definition elimination 4.63/1.14 4.63/1.14 % (22357)Memory used [KB]: 2302 4.63/1.14 % (22357)Time elapsed: 0.048 s 4.63/1.14 % (22357)Instructions burned: 204 (million) 4.63/1.14 % (22357)------------------------------ 4.63/1.14 % (22357)------------------------------ 4.63/1.14 % (22354)Instruction limit reached! 4.63/1.14 % (22354)------------------------------ 4.63/1.14 % (22354)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.14 % (22354)Termination reason: Unknown 4.63/1.14 % (22354)Termination phase: Function definition elimination 4.63/1.14 4.63/1.14 % (22354)Memory used [KB]: 2430 4.63/1.14 % (22354)Time elapsed: 0.082 s 4.63/1.14 % (22354)Instructions burned: 371 (million) 4.63/1.14 % (22354)------------------------------ 4.63/1.14 % (22354)------------------------------ 4.63/1.15 % (22361)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_22157 for (2392ds/1539Mi) 4.63/1.15 % (22343)Instruction limit reached! 4.63/1.15 % (22343)------------------------------ 4.63/1.15 % (22343)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.63/1.15 % (22343)Termination reason: Unknown 4.63/1.15 % (22343)Termination phase: Function definition elimination 4.63/1.15 4.63/1.15 % (22343)Memory used [KB]: 2430 4.63/1.15 % (22343)Time elapsed: 0.185 s 4.63/1.15 % (22343)Instructions burned: 989 (million) 4.63/1.15 % (22343)------------------------------ 4.63/1.15 % (22343)------------------------------ 4.63/1.15 % (22362)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_22157 for (2392ds/408Mi) 4.63/1.15 % (22363)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_22157 for (2392ds/5205Mi) 5.11/1.16 % (22364)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_22157 for (2392ds/1913Mi) 5.11/1.18 % (22360)Refutation not found, incomplete strategy 5.11/1.18 % (22360)------------------------------ 5.11/1.18 % (22360)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.11/1.18 % (22360)Termination reason: Refutation not found, incomplete strategy 5.11/1.18 5.11/1.18 5.11/1.18 % (22360)Memory used [KB]: 6908 5.11/1.18 % (22360)Time elapsed: 0.039 s 5.11/1.18 % (22360)Instructions burned: 135 (million) 5.11/1.18 % (22360)------------------------------ 5.11/1.18 % (22360)------------------------------ 5.11/1.19 % (22365)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_22157 for (2392ds/4350Mi) 5.20/1.21 % (22350)Instruction limit reached! 5.20/1.21 % (22350)------------------------------ 5.20/1.21 % (22350)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.20/1.21 % (22350)Termination reason: Unknown 5.20/1.21 % (22350)Termination phase: Function definition elimination 5.20/1.21 5.20/1.21 % (22350)Memory used [KB]: 2430 5.20/1.21 % (22350)Time elapsed: 0.176 s 5.20/1.21 % (22350)Instructions burned: 922 (million) 5.20/1.21 % (22350)------------------------------ 5.20/1.21 % (22350)------------------------------ 5.20/1.22 % (22366)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_22157 for (2392ds/68Mi) 5.23/1.24 % (22366)Instruction limit reached! 5.23/1.24 % (22366)------------------------------ 5.23/1.24 % (22366)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.23/1.24 % (22366)Termination reason: Unknown 5.23/1.24 % (22366)Termination phase: SInE selection 5.23/1.24 5.23/1.24 % (22366)Memory used [KB]: 2174 5.23/1.24 % (22366)Time elapsed: 0.020 s 5.23/1.24 % (22366)Instructions burned: 70 (million) 5.23/1.24 % (22366)------------------------------ 5.23/1.24 % (22366)------------------------------ 5.25/1.24 % (22367)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_22157 for (2391ds/358Mi) 5.25/1.26 % (22362)Instruction limit reached! 5.25/1.26 % (22362)------------------------------ 5.25/1.26 % (22362)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.25/1.26 % (22362)Termination reason: Unknown 5.25/1.26 % (22362)Termination phase: Saturation 5.25/1.26 5.25/1.26 % (22362)Memory used [KB]: 8059 5.25/1.26 % (22362)Time elapsed: 0.109 s 5.25/1.26 % (22362)Instructions burned: 409 (million) 5.25/1.26 % (22362)------------------------------ 5.25/1.26 % (22362)------------------------------ 5.25/1.27 % (22355)Instruction limit reached! 5.25/1.27 % (22355)------------------------------ 5.25/1.27 % (22355)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.25/1.27 % (22355)Termination reason: Unknown 5.25/1.27 % (22355)Termination phase: Function definition elimination 5.25/1.27 5.25/1.27 % (22355)Memory used [KB]: 2430 5.25/1.27 % (22355)Time elapsed: 0.196 s 5.25/1.27 % (22355)Instructions burned: 1021 (million) 5.25/1.27 % (22355)------------------------------ 5.25/1.27 % (22355)------------------------------ 5.25/1.27 % (22368)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_22157 for (2391ds/31Mi) 5.25/1.27 % (22369)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_22157 for (2391ds/279Mi) 5.25/1.28 % (22368)Instruction limit reached! 5.25/1.28 % (22368)------------------------------ 5.25/1.28 % (22368)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.25/1.28 % (22368)Termination reason: Unknown 5.25/1.28 % (22368)Termination phase: shuffling 5.25/1.28 5.25/1.28 % (22368)Memory used [KB]: 2046 5.25/1.28 % (22368)Time elapsed: 0.010 s 5.25/1.28 % (22368)Instructions burned: 32 (million) 5.25/1.28 % (22368)------------------------------ 5.25/1.28 % (22368)------------------------------ 5.25/1.28 % (22370)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_22157 for (2391ds/258Mi) 5.59/1.33 % (22369)Refutation not found, incomplete strategy 5.59/1.33 % (22369)------------------------------ 5.59/1.33 % (22369)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.59/1.33 % (22369)Termination reason: Refutation not found, incomplete strategy 5.59/1.33 5.59/1.33 5.59/1.33 % (22369)Memory used [KB]: 7419 5.59/1.33 % (22369)Time elapsed: 0.053 s 5.59/1.33 % (22369)Instructions burned: 202 (million) 5.59/1.33 % (22369)------------------------------ 5.59/1.33 % (22369)------------------------------ 5.59/1.34 % (22371)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_22157 for (2390ds/26Mi) 5.59/1.34 % (22367)Instruction limit reached! 5.59/1.34 % (22367)------------------------------ 5.59/1.34 % (22367)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.59/1.34 % (22367)Termination reason: Unknown 5.59/1.34 % (22367)Termination phase: Saturation 5.59/1.34 5.59/1.34 % (22367)Memory used [KB]: 8443 5.59/1.34 % (22367)Time elapsed: 0.094 s 5.59/1.34 % (22367)Instructions burned: 361 (million) 5.59/1.34 % (22367)------------------------------ 5.59/1.34 % (22367)------------------------------ 5.59/1.34 % (22371)Instruction limit reached! 5.59/1.34 % (22371)------------------------------ 5.59/1.34 % (22371)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.59/1.34 % (22371)Termination reason: Unknown 5.59/1.34 % (22371)Termination phase: shuffling 5.59/1.34 5.59/1.34 % (22371)Memory used [KB]: 2046 5.59/1.34 % (22371)Time elapsed: 0.009 s 5.59/1.34 % (22371)Instructions burned: 29 (million) 5.59/1.34 % (22371)------------------------------ 5.59/1.34 % (22371)------------------------------ 5.59/1.35 % (22372)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_22157 for (2390ds/995Mi) 5.59/1.35 % (22373)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_22157 for (2390ds/373Mi) 5.59/1.35 % (22370)Instruction limit reached! 5.59/1.35 % (22370)------------------------------ 5.59/1.35 % (22370)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.59/1.35 % (22370)Termination reason: Unknown 5.59/1.35 % (22370)Termination phase: Saturation 5.59/1.35 5.59/1.35 % (22370)Memory used [KB]: 7164 5.59/1.35 % (22370)Time elapsed: 0.069 s 5.59/1.35 % (22370)Instructions burned: 259 (million) 5.59/1.35 % (22370)------------------------------ 5.59/1.35 % (22370)------------------------------ 5.85/1.36 % (22374)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_22157 for (2390ds/253Mi) 5.85/1.41 % (22374)Instruction limit reached! 5.85/1.41 % (22374)------------------------------ 5.85/1.41 % (22374)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.85/1.41 % (22374)Termination reason: Unknown 5.85/1.41 % (22374)Termination phase: Function definition elimination 5.85/1.41 5.85/1.41 % (22374)Memory used [KB]: 2430 5.85/1.41 % (22374)Time elapsed: 0.054 s 5.85/1.41 % (22374)Instructions burned: 254 (million) 5.85/1.41 % (22374)------------------------------ 5.85/1.41 % (22374)------------------------------ 5.85/1.42 % (22375)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_22157 for (2390ds/832Mi) 5.85/1.43 % (22373)Instruction limit reached! 5.85/1.43 % (22373)------------------------------ 5.85/1.43 % (22373)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.85/1.43 % (22373)Termination reason: Unknown 5.85/1.43 % (22373)Termination phase: Function definition elimination 5.85/1.43 5.85/1.43 % (22373)Memory used [KB]: 2430 5.85/1.43 % (22373)Time elapsed: 0.077 s 5.85/1.43 % (22373)Instructions burned: 374 (million) 5.85/1.43 % (22373)------------------------------ 5.85/1.43 % (22373)------------------------------ 5.85/1.44 % (22376)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_22157 for (2389ds/668Mi) 5.85/1.44 % (22361)Instruction limit reached! 5.85/1.44 % (22361)------------------------------ 5.85/1.44 % (22361)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.85/1.44 % (22361)Termination reason: Unknown 5.85/1.44 % (22361)Termination phase: Function definition elimination 5.85/1.44 5.85/1.44 % (22361)Memory used [KB]: 2558 5.85/1.44 % (22361)Time elapsed: 0.292 s 5.85/1.44 % (22361)Instructions burned: 1543 (million) 5.85/1.44 % (22361)------------------------------ 5.85/1.44 % (22361)------------------------------ 5.85/1.45 % (22377)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_22157 for (2389ds/40Mi) 6.29/1.46 % (22377)Instruction limit reached! 6.29/1.46 % (22377)------------------------------ 6.29/1.46 % (22377)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.29/1.46 % (22377)Termination reason: Unknown 6.29/1.46 % (22377)Termination phase: Property scanning 6.29/1.46 6.29/1.46 % (22377)Memory used [KB]: 2174 6.29/1.46 % (22377)Time elapsed: 0.012 s 6.29/1.46 % (22377)Instructions burned: 40 (million) 6.29/1.46 % (22377)------------------------------ 6.29/1.46 % (22377)------------------------------ 6.29/1.46 % (22375)Refutation not found, incomplete strategy 6.29/1.46 % (22375)------------------------------ 6.29/1.46 % (22375)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.29/1.46 % (22375)Termination reason: Refutation not found, incomplete strategy 6.29/1.46 6.29/1.46 6.29/1.46 % (22375)Memory used [KB]: 7036 6.29/1.46 % (22375)Time elapsed: 0.038 s 6.29/1.46 % (22375)Instructions burned: 134 (million) 6.29/1.46 % (22375)------------------------------ 6.29/1.46 % (22375)------------------------------ 6.29/1.47 % (22378)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_22157 for (2389ds/294Mi) 6.29/1.47 % (22379)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_22157 for (2389ds/187Mi) 6.35/1.51 % (22379)Instruction limit reached! 6.35/1.51 % (22379)------------------------------ 6.35/1.51 % (22379)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.35/1.51 % (22379)Termination reason: Unknown 6.35/1.51 % (22379)Termination phase: Function definition elimination 6.35/1.51 6.35/1.51 % (22379)Memory used [KB]: 2430 6.35/1.51 % (22379)Time elapsed: 0.044 s 6.35/1.51 % (22379)Instructions burned: 191 (million) 6.35/1.51 % (22379)------------------------------ 6.35/1.51 % (22379)------------------------------ 6.35/1.52 % (22380)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_22157 for (2389ds/371Mi) 6.35/1.53 % (22372)Instruction limit reached! 6.35/1.53 % (22372)------------------------------ 6.35/1.53 % (22372)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.35/1.53 % (22372)Termination reason: Unknown 6.35/1.53 % (22372)Termination phase: Function definition elimination 6.35/1.53 6.35/1.53 % (22372)Memory used [KB]: 2430 6.35/1.53 % (22372)Time elapsed: 0.186 s 6.35/1.53 % (22372)Instructions burned: 995 (million) 6.35/1.53 % (22372)------------------------------ 6.35/1.53 % (22372)------------------------------ 6.60/1.54 % (22381)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_22157 for (2388ds/1827Mi) 6.60/1.54 % (22378)Instruction limit reached! 6.60/1.54 % (22378)------------------------------ 6.60/1.54 % (22378)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.60/1.54 % (22378)Termination reason: Unknown 6.60/1.54 % (22378)Termination phase: Saturation 6.60/1.54 6.60/1.54 % (22378)Memory used [KB]: 7036 6.60/1.54 % (22378)Time elapsed: 0.079 s 6.60/1.54 % (22378)Instructions burned: 294 (million) 6.60/1.54 % (22378)------------------------------ 6.60/1.54 % (22378)------------------------------ 6.60/1.55 % (22382)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_22157 for (2388ds/70Mi) 6.60/1.57 % (22376)Instruction limit reached! 6.60/1.57 % (22376)------------------------------ 6.60/1.57 % (22376)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.60/1.57 % (22376)Termination reason: Unknown 6.60/1.57 % (22376)Termination phase: Function definition elimination 6.60/1.57 6.60/1.57 % (22376)Memory used [KB]: 2430 6.60/1.57 % (22376)Time elapsed: 0.131 s 6.60/1.57 % (22376)Instructions burned: 668 (million) 6.60/1.57 % (22376)------------------------------ 6.60/1.57 % (22376)------------------------------ 6.60/1.57 % (22382)Instruction limit reached! 6.60/1.57 % (22382)------------------------------ 6.60/1.57 % (22382)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.60/1.57 % (22382)Termination reason: Unknown 6.60/1.57 % (22382)Termination phase: Property scanning 6.60/1.57 6.60/1.57 % (22382)Memory used [KB]: 2302 6.60/1.57 % (22382)Time elapsed: 0.019 s 6.60/1.57 % (22382)Instructions burned: 70 (million) 6.60/1.57 % (22382)------------------------------ 6.60/1.57 % (22382)------------------------------ 6.60/1.57 % (22383)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_22157 for (2388ds/316Mi) 6.60/1.58 % (22384)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_22157 for (2388ds/932Mi) 8.40/1.63 % (22380)Instruction limit reached! 8.40/1.63 % (22380)------------------------------ 8.40/1.63 % (22380)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 8.40/1.63 % (22380)Termination reason: Unknown 8.40/1.63 % (22380)Termination phase: Saturation 8.40/1.63 8.40/1.63 % (22380)Memory used [KB]: 7675 8.40/1.63 % (22380)Time elapsed: 0.110 s 8.40/1.63 % (22380)Instructions burned: 371 (million) 8.40/1.63 % (22380)------------------------------ 8.40/1.63 % (22380)------------------------------ 8.40/1.64 % (22385)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_22157 for (2387ds/4714Mi) 8.40/1.64 % (22383)Instruction limit reached! 8.40/1.64 % (22383)------------------------------ 8.40/1.64 % (22383)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 8.40/1.64 % (22383)Termination reason: Unknown 8.40/1.64 % (22383)Termination phase: Function definition elimination 8.40/1.64 8.40/1.64 % (22383)Memory used [KB]: 2430 8.40/1.64 % (22383)Time elapsed: 0.066 s 8.40/1.64 % (22383)Instructions burned: 319 (million) 8.40/1.64 % (22383)------------------------------ 8.40/1.64 % (22383)------------------------------ 8.40/1.65 % (22386)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_22157 for (2387ds/8250Mi) 8.75/1.67 % (22364)Instruction limit reached! 8.75/1.67 % (22364)------------------------------ 8.75/1.67 % (22364)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 8.75/1.67 % (22364)Termination reason: Unknown 8.75/1.67 % (22364)Termination phase: Saturation 8.75/1.67 8.75/1.67 % (22364)Memory used [KB]: 4477 8.75/1.67 % (22364)Time elapsed: 0.514 s 8.75/1.67 % (22364)Instructions burned: 1914 (million) 8.75/1.67 % (22364)------------------------------ 8.75/1.67 % (22364)------------------------------ 8.75/1.68 % (22387)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_22157 for (2387ds/770Mi) 8.75/1.73 % (22387)Refutation not found, incomplete strategy 8.75/1.73 % (22387)------------------------------ 8.75/1.73 % (22387)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 8.75/1.73 % (22387)Termination reason: Refutation not found, incomplete strategy 8.75/1.73 8.75/1.73 8.75/1.73 % (22387)Memory used [KB]: 7164 8.75/1.73 % (22387)Time elapsed: 0.070 s 8.75/1.73 % (22387)Instructions burned: 162 (million) 8.75/1.73 % (22387)------------------------------ 8.75/1.73 % (22387)------------------------------ 8.75/1.73 % (22388)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_22157 for (2386ds/794Mi) 8.75/1.76 % (22384)Instruction limit reached! 8.75/1.76 % (22384)------------------------------ 8.75/1.76 % (22384)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 8.75/1.76 % (22384)Termination reason: Unknown 8.75/1.76 % (22384)Termination phase: Function definition elimination 8.75/1.76 8.75/1.76 % (22384)Memory used [KB]: 2430 8.75/1.76 % (22384)Time elapsed: 0.180 s 8.75/1.76 % (22384)Instructions burned: 934 (million) 8.75/1.76 % (22384)------------------------------ 8.75/1.76 % (22384)------------------------------ 9.21/1.77 % (22389)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_22157 for (2386ds/464Mi) 9.40/1.86 % (22389)Instruction limit reached! 9.40/1.86 % (22389)------------------------------ 9.40/1.86 % (22389)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.40/1.86 % (22389)Termination reason: Unknown 9.40/1.86 % (22389)Termination phase: Function definition elimination 9.40/1.86 9.40/1.86 % (22389)Memory used [KB]: 2430 9.40/1.86 % (22389)Time elapsed: 0.094 s 9.40/1.86 % (22389)Instructions burned: 464 (million) 9.40/1.86 % (22389)------------------------------ 9.40/1.86 % (22389)------------------------------ 9.40/1.87 % (22390)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_22157 for (2385ds/1376Mi) 9.40/1.89 % (22388)Instruction limit reached! 9.40/1.89 % (22388)------------------------------ 9.40/1.89 % (22388)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.40/1.89 % (22388)Termination reason: Unknown 9.40/1.89 % (22388)Termination phase: Function definition elimination 9.40/1.89 9.40/1.89 % (22388)Memory used [KB]: 2430 9.40/1.89 % (22388)Time elapsed: 0.155 s 9.40/1.89 % (22388)Instructions burned: 798 (million) 9.40/1.89 % (22388)------------------------------ 9.40/1.89 % (22388)------------------------------ 9.40/1.90 % (22391)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on E---3.1_22157 for (2385ds/906Mi) 10.37/2.07 % (22391)Instruction limit reached! 10.37/2.07 % (22391)------------------------------ 10.37/2.07 % (22391)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.37/2.07 % (22391)Termination reason: Unknown 10.37/2.07 % (22391)Termination phase: Function definition elimination 10.37/2.07 10.37/2.07 % (22391)Memory used [KB]: 2430 10.37/2.07 % (22391)Time elapsed: 0.174 s 10.37/2.07 % (22391)Instructions burned: 910 (million) 10.37/2.07 % (22391)------------------------------ 10.37/2.07 % (22391)------------------------------ 10.37/2.08 % (22392)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_22157 for (2383ds/434Mi) 10.64/2.11 % (22381)Instruction limit reached! 10.64/2.11 % (22381)------------------------------ 10.64/2.11 % (22381)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.64/2.11 % (22381)Termination reason: Unknown 10.64/2.11 % (22381)Termination phase: Saturation 10.64/2.11 10.64/2.11 % (22381)Memory used [KB]: 9978 10.64/2.11 % (22381)Time elapsed: 0.570 s 10.64/2.11 % (22381)Instructions burned: 1828 (million) 10.64/2.11 % (22381)------------------------------ 10.64/2.11 % (22381)------------------------------ 10.64/2.12 % (22393)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_22157 for (2383ds/865Mi) 10.73/2.13 % (22390)Instruction limit reached! 10.73/2.13 % (22390)------------------------------ 10.73/2.13 % (22390)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.73/2.13 % (22390)Termination reason: Unknown 10.73/2.13 % (22390)Termination phase: Function definition elimination 10.73/2.13 10.73/2.13 % (22390)Memory used [KB]: 2558 10.73/2.13 % (22390)Time elapsed: 0.261 s 10.73/2.13 % (22390)Instructions burned: 1377 (million) 10.73/2.13 % (22390)------------------------------ 10.73/2.13 % (22390)------------------------------ 12.07/2.14 % (22394)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_22157 for (2383ds/593Mi) 12.50/2.21 % (22392)Instruction limit reached! 12.50/2.21 % (22392)------------------------------ 12.50/2.21 % (22392)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 12.50/2.21 % (22392)Termination reason: Unknown 12.50/2.21 % (22392)Termination phase: Saturation 12.50/2.21 12.50/2.21 % (22392)Memory used [KB]: 7164 12.50/2.21 % (22392)Time elapsed: 0.152 s 12.50/2.21 % (22392)Instructions burned: 434 (million) 12.50/2.21 % (22392)------------------------------ 12.50/2.21 % (22392)------------------------------ 12.50/2.22 % (22395)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_22157 for (2382ds/443Mi) 12.50/2.25 % (22394)Instruction limit reached! 12.50/2.25 % (22394)------------------------------ 12.50/2.25 % (22394)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 12.50/2.25 % (22394)Termination reason: Unknown 12.50/2.25 % (22394)Termination phase: Function definition elimination 12.50/2.25 12.50/2.25 % (22394)Memory used [KB]: 2430 12.50/2.25 % (22394)Time elapsed: 0.117 s 12.50/2.25 % (22394)Instructions burned: 595 (million) 12.50/2.25 % (22394)------------------------------ 12.50/2.25 % (22394)------------------------------ 12.50/2.26 % (22396)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_22157 for (2381ds/594Mi) 12.50/2.27 % (22363)Instruction limit reached! 12.50/2.27 % (22363)------------------------------ 12.50/2.27 % (22363)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 12.50/2.27 % (22363)Termination reason: Unknown 12.50/2.27 % (22363)Termination phase: Property scanning 12.50/2.27 12.50/2.27 % (22363)Memory used [KB]: 2814 12.50/2.27 % (22363)Time elapsed: 1.111 s 12.50/2.27 % (22363)Instructions burned: 5207 (million) 12.50/2.27 % (22363)------------------------------ 12.50/2.27 % (22363)------------------------------ 12.50/2.28 % (22397)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_22157 for (2381ds/327Mi) 12.98/2.29 % (22393)First to succeed. 12.98/2.30 % (22393)Refutation found. Thanks to Tanya! 12.98/2.30 % SZS status Theorem for E---3.1_22157 12.98/2.30 % SZS output start Proof for E---3.1_22157 12.98/2.30 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 12.98/2.30 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 12.98/2.30 thf(func_def_3, type, eps: ($i > $o) > $i). 12.98/2.30 thf(func_def_4, type, in: $i > $i > $o). 12.98/2.30 thf(func_def_5, type, d_Subq: $i > $i > $o). 12.98/2.30 thf(func_def_7, type, union: $i > $i). 12.98/2.30 thf(func_def_8, type, power: $i > $i). 12.98/2.30 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 12.98/2.30 thf(func_def_10, type, d_Union_closed: $i > $o). 12.98/2.30 thf(func_def_11, type, d_Power_closed: $i > $o). 12.98/2.30 thf(func_def_12, type, d_Repl_closed: $i > $o). 12.98/2.30 thf(func_def_13, type, d_ZF_closed: $i > $o). 12.98/2.30 thf(func_def_14, type, univof: $i > $i). 12.98/2.30 thf(func_def_15, type, if: $o > $i > $i > $i). 12.98/2.30 thf(func_def_16, type, nIn: $i > $i > $o). 12.98/2.30 thf(func_def_17, type, d_UPair: $i > $i > $i). 12.98/2.30 thf(func_def_18, type, d_Sing: $i > $i). 12.98/2.30 thf(func_def_19, type, binunion: $i > $i > $i). 12.98/2.30 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 12.98/2.30 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 12.98/2.30 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 12.98/2.30 thf(func_def_23, type, setminus: $i > $i > $i). 12.98/2.30 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 12.98/2.30 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 12.98/2.30 thf(func_def_26, type, ordsucc: $i > $i). 12.98/2.30 thf(func_def_27, type, nat_p: $i > $o). 12.98/2.30 thf(func_def_29, type, d_Inj1: $i > $i). 12.98/2.30 thf(func_def_30, type, d_Inj0: $i > $i). 12.98/2.30 thf(func_def_31, type, d_Unj: $i > $i). 12.98/2.30 thf(func_def_32, type, pair: $i > $i > $i). 12.98/2.30 thf(func_def_33, type, proj0: $i > $i). 12.98/2.30 thf(func_def_34, type, proj1: $i > $i). 12.98/2.30 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 12.98/2.30 thf(func_def_36, type, setprod: $i > $i > $i). 12.98/2.30 thf(func_def_37, type, ap: $i > $i > $i). 12.98/2.30 thf(func_def_38, type, pair_p: $i > $o). 12.98/2.30 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 12.98/2.30 thf(func_def_40, type, imp: $o > $o > $o). 12.98/2.30 thf(func_def_41, type, d_not: $o > $o). 12.98/2.30 thf(func_def_42, type, wel: $o > $o). 12.98/2.30 thf(func_def_44, type, l_ec: $o > $o > $o). 12.98/2.30 thf(func_def_45, type, d_and: $o > $o > $o). 12.98/2.30 thf(func_def_46, type, l_or: $o > $o > $o). 12.98/2.30 thf(func_def_47, type, orec: $o > $o > $o). 12.98/2.30 thf(func_def_48, type, l_iff: $o > $o > $o). 12.98/2.30 thf(func_def_49, type, all: $i > ($i > $o) > $o). 12.98/2.30 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 12.98/2.30 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 12.98/2.30 thf(func_def_52, type, or3: $o > $o > $o > $o). 12.98/2.30 thf(func_def_53, type, and3: $o > $o > $o > $o). 12.98/2.30 thf(func_def_54, type, ec3: $o > $o > $o > $o). 12.98/2.30 thf(func_def_55, type, orec3: $o > $o > $o > $o). 12.98/2.30 thf(func_def_56, type, e_is: $i > $i > $i > $o). 12.98/2.30 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 12.98/2.30 thf(func_def_58, type, one: $i > ($i > $o) > $o). 12.98/2.30 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 12.98/2.30 thf(func_def_60, type, injective: $i > $i > $i > $o). 12.98/2.30 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 12.98/2.30 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_64, type, inverse: $i > $i > $i > $i). 12.98/2.30 thf(func_def_65, type, surjective: $i > $i > $i > $o). 12.98/2.30 thf(func_def_66, type, bijective: $i > $i > $i > $o). 12.98/2.30 thf(func_def_67, type, invf: $i > $i > $i > $i). 12.98/2.30 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 12.98/2.30 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 12.98/2.30 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_72, type, first: $i > $i > $i > $i). 12.98/2.30 thf(func_def_73, type, second: $i > $i > $i > $i). 12.98/2.30 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 12.98/2.30 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 12.98/2.30 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_78, type, wissel: $i > $i > $i > $i). 12.98/2.30 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_80, type, r_ec: $o > $o > $o). 12.98/2.30 thf(func_def_81, type, esti: $i > $i > $i > $o). 12.98/2.30 thf(func_def_82, type, empty: $i > $i > $o). 12.98/2.30 thf(func_def_83, type, nonempty: $i > $i > $o). 12.98/2.30 thf(func_def_84, type, incl: $i > $i > $i > $o). 12.98/2.30 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 12.98/2.30 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 12.98/2.30 thf(func_def_87, type, unmore: $i > $i > $i > $i). 12.98/2.30 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 12.98/2.30 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 12.98/2.30 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 12.98/2.30 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 12.98/2.30 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 12.98/2.30 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 12.98/2.30 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 12.98/2.30 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 12.98/2.30 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 12.98/2.30 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 12.98/2.30 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 12.98/2.30 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 12.98/2.30 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 12.98/2.30 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_103, type, n_is: $i > $i > $o). 12.98/2.30 thf(func_def_104, type, nis: $i > $i > $o). 12.98/2.30 thf(func_def_105, type, n_in: $i > $i > $o). 12.98/2.30 thf(func_def_106, type, n_some: ($i > $o) > $o). 12.98/2.30 thf(func_def_107, type, n_all: ($i > $o) > $o). 12.98/2.30 thf(func_def_108, type, n_one: ($i > $o) > $o). 12.98/2.30 thf(func_def_110, type, cond1: $i > $o). 12.98/2.30 thf(func_def_111, type, cond2: $i > $o). 12.98/2.30 thf(func_def_112, type, i1_s: ($i > $o) > $i). 12.98/2.30 thf(func_def_113, type, d_22_prop1: $i > $o). 12.98/2.30 thf(func_def_114, type, d_23_prop1: $i > $o). 12.98/2.30 thf(func_def_115, type, d_24_prop1: $i > $o). 12.98/2.30 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 12.98/2.30 thf(func_def_117, type, prop3: $i > $i > $i > $o). 12.98/2.30 thf(func_def_118, type, prop4: $i > $o). 12.98/2.30 thf(func_def_119, type, d_24_g: $i > $i). 12.98/2.30 thf(func_def_120, type, plus: $i > $i). 12.98/2.30 thf(func_def_121, type, n_pl: $i > $i > $i). 12.98/2.30 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 12.98/2.30 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 12.98/2.30 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 12.98/2.30 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 12.98/2.30 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 12.98/2.30 thf(func_def_127, type, d_29_ii: $i > $i > $o). 12.98/2.30 thf(func_def_128, type, iii: $i > $i > $o). 12.98/2.30 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 12.98/2.30 thf(func_def_130, type, moreis: $i > $i > $o). 12.98/2.30 thf(func_def_131, type, lessis: $i > $i > $o). 12.98/2.30 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 12.98/2.30 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 12.98/2.30 thf(func_def_134, type, min: ($i > $o) > $i > $o). 12.98/2.30 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 12.98/2.30 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 12.98/2.30 thf(func_def_137, type, d_428_prop4: $i > $o). 12.98/2.30 thf(func_def_139, type, d_428_g: $i > $i). 12.98/2.30 thf(func_def_140, type, times: $i > $i). 12.98/2.30 thf(func_def_141, type, n_ts: $i > $i > $i). 12.98/2.30 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 12.98/2.30 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 12.98/2.30 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 12.98/2.30 thf(func_def_145, type, n_mn: $i > $i > $i). 12.98/2.30 thf(func_def_146, type, d_1to: $i > $i). 12.98/2.30 thf(func_def_147, type, outn: $i > $i > $i). 12.98/2.30 thf(func_def_148, type, inn: $i > $i > $i). 12.98/2.30 thf(func_def_150, type, singlet_u0: $i > $i). 12.98/2.30 thf(func_def_154, type, pair_u0: $i > $i). 12.98/2.30 thf(func_def_155, type, pair1type: $i > $i). 12.98/2.30 thf(func_def_156, type, pair1: $i > $i > $i > $i). 12.98/2.30 thf(func_def_157, type, first1: $i > $i > $i). 12.98/2.30 thf(func_def_158, type, second1: $i > $i > $i). 12.98/2.30 thf(func_def_159, type, pair_q0: $i > $i > $i). 12.98/2.30 thf(func_def_160, type, d_1out: $i > $i). 12.98/2.30 thf(func_def_161, type, xout: $i > $i). 12.98/2.30 thf(func_def_162, type, left1to: $i > $i > $i > $i). 12.98/2.30 thf(func_def_163, type, right1to: $i > $i > $i > $i). 12.98/2.30 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 12.98/2.30 thf(func_def_169, type, n_fr: $i > $i > $i). 12.98/2.30 thf(func_def_170, type, num: $i > $i). 12.98/2.30 thf(func_def_171, type, den: $i > $i). 12.98/2.30 thf(func_def_172, type, n_eq: $i > $i > $o). 12.98/2.30 thf(func_def_192, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)). 12.98/2.30 thf(func_def_194, type, sK1: $i > ($i > $i) > ($i > $i) > $i). 12.98/2.30 thf(func_def_197, type, sK4: ($i > $o) > $i). 12.98/2.30 thf(func_def_198, type, sK5: ($i > $i) > $i > ($i > $i) > $i). 12.98/2.30 thf(func_def_199, type, ph6: !>[X0: $tType]:(X0)). 12.98/2.30 thf(f2641,plain,( 12.98/2.30 $false), 12.98/2.30 inference(trivial_inequality_removal,[],[f2640])). 12.98/2.30 thf(f2640,plain,( 12.98/2.30 ($true = $false)), 12.98/2.30 inference(backward_demodulation,[],[f1929,f2639])). 12.98/2.30 thf(f2639,plain,( 12.98/2.30 ((in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) = $false)), 12.98/2.30 inference(trivial_inequality_removal,[],[f2638])). 12.98/2.30 thf(f2638,plain,( 12.98/2.30 ((in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) = $false) | ($true = $false)), 12.98/2.30 inference(forward_demodulation,[],[f2634,f1933])). 12.98/2.30 thf(f1933,plain,( 12.98/2.30 ($true = (in @ sK3 @ nat))), 12.98/2.30 inference(binary_proxy_clausification,[],[f1931])). 12.98/2.30 thf(f1931,plain,( 12.98/2.30 ($false = ((in @ sK3 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))), 12.98/2.30 inference(beta_eta_normalization,[],[f1930])). 12.98/2.30 thf(f1930,plain,( 12.98/2.30 (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ sK3) = $false)), 12.98/2.30 inference(sigma_clausification,[],[f1928])). 12.98/2.30 thf(f1928,plain,( 12.98/2.30 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))) = $false)), 12.98/2.30 inference(binary_proxy_clausification,[],[f1927])). 12.98/2.30 thf(f1927,plain,( 12.98/2.30 (((in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))) = $false)), 12.98/2.30 inference(beta_eta_normalization,[],[f1926])). 12.98/2.30 thf(f1926,plain,( 12.98/2.30 (((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ sK2) = $false)), 12.98/2.30 inference(sigma_clausification,[],[f1332])). 12.98/2.30 thf(f1332,plain,( 12.98/2.30 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))), 12.98/2.30 inference(beta_eta_normalization,[],[f1180])). 12.98/2.30 thf(f1180,plain,( 12.98/2.30 ($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 @ ((^[Y1 : $i]: (d_Pi @ ((^[Y2 : $i]: (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ Y2)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y2 : $i]: (Y1)))) @ nat))) @ (^[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 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y2)))))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ ((^[Y5 : $i]: (d_Sep @ nat @ (^[Y6 : $i]: (lessis @ Y6 @ Y5)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (ind @ Y7 @ ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (d_and @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y10 @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y12)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ (d_not @ Y10) @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y13)))))))))))) @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y2 @ Y3 @ Y4)))))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ Y1) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0) @ Y1)) @ Y0))))))), 12.98/2.30 inference(definition_unfolding,[],[f990,f1111,f1134,f1111,f1139,f1135,f1136,f1137])). 12.98/2.30 thf(f1137,plain,( 12.98/2.30 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat))), 12.98/2.30 inference(definition_unfolding,[],[f1089,f1118])). 12.98/2.30 thf(f1118,plain,( 12.98/2.30 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))), 12.98/2.30 inference(definition_unfolding,[],[f963,f1117])). 12.98/2.30 thf(f1117,plain,( 12.98/2.30 (n_2t = (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))), 12.98/2.30 inference(definition_unfolding,[],[f1059,f1084,f1084])). 12.98/2.30 thf(f1084,plain,( 12.98/2.30 (n_2 = (n_pl @ n_1 @ n_1))), 12.98/2.30 inference(cnf_transformation,[],[f808])). 12.98/2.30 thf(f808,plain,( 12.98/2.30 (n_2 = (n_pl @ n_1 @ n_1))), 12.98/2.30 inference(fool_elimination,[],[f210])). 12.98/2.30 thf(f210,axiom,( 12.98/2.30 (n_2 = (n_pl @ n_1 @ n_1))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_2)). 12.98/2.30 thf(f1059,plain,( 12.98/2.30 (n_2t = (outn @ n_2 @ n_2))), 12.98/2.30 inference(cnf_transformation,[],[f557])). 12.98/2.30 thf(f557,plain,( 12.98/2.30 (n_2t = (outn @ n_2 @ n_2))), 12.98/2.30 inference(fool_elimination,[],[f212])). 12.98/2.30 thf(f212,axiom,( 12.98/2.30 (n_2t = (outn @ n_2 @ n_2))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_2t)). 12.98/2.30 thf(f963,plain,( 12.98/2.30 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 12.98/2.30 inference(cnf_transformation,[],[f631])). 12.98/2.30 thf(f631,plain,( 12.98/2.30 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 12.98/2.30 inference(fool_elimination,[],[f217])). 12.98/2.30 thf(f217,axiom,( 12.98/2.30 (second1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_second1)). 12.98/2.30 thf(f1089,plain,( 12.98/2.30 (den = (second1 @ nat))), 12.98/2.30 inference(cnf_transformation,[],[f409])). 12.98/2.30 thf(f409,plain,( 12.98/2.30 (den = (second1 @ nat))), 12.98/2.30 inference(fool_elimination,[],[f230])). 12.98/2.30 thf(f230,axiom,( 12.98/2.30 (den = (second1 @ nat))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_den)). 12.98/2.30 thf(f1136,plain,( 12.98/2.30 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat))), 12.98/2.30 inference(definition_unfolding,[],[f1071,f1116])). 12.98/2.30 thf(f1116,plain,( 12.98/2.30 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))))), 12.98/2.30 inference(definition_unfolding,[],[f1005,f1114])). 12.98/2.30 thf(f1114,plain,( 12.98/2.30 (n_1t = (outn @ (n_pl @ n_1 @ n_1) @ n_1))), 12.98/2.30 inference(definition_unfolding,[],[f999,f1084])). 12.98/2.30 thf(f999,plain,( 12.98/2.30 (n_1t = (outn @ n_2 @ n_1))), 12.98/2.30 inference(cnf_transformation,[],[f613])). 12.98/2.30 thf(f613,plain,( 12.98/2.30 (n_1t = (outn @ n_2 @ n_1))), 12.98/2.30 inference(fool_elimination,[],[f211])). 12.98/2.30 thf(f211,axiom,( 12.98/2.30 (n_1t = (outn @ n_2 @ n_1))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_1t)). 12.98/2.30 thf(f1005,plain,( 12.98/2.30 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 12.98/2.30 inference(cnf_transformation,[],[f582])). 12.98/2.30 thf(f582,plain,( 12.98/2.30 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 12.98/2.30 inference(fool_elimination,[],[f216])). 12.98/2.30 thf(f216,axiom,( 12.98/2.30 (first1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_first1)). 12.98/2.30 thf(f1071,plain,( 12.98/2.30 (num = (first1 @ nat))), 12.98/2.30 inference(cnf_transformation,[],[f543])). 12.98/2.30 thf(f543,plain,( 12.98/2.30 (num = (first1 @ nat))), 12.98/2.30 inference(fool_elimination,[],[f229])). 12.98/2.30 thf(f229,axiom,( 12.98/2.30 (num = (first1 @ nat))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_num)). 12.98/2.30 thf(f1135,plain,( 12.98/2.30 (n_fr = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))) @ nat))), 12.98/2.30 inference(definition_unfolding,[],[f993,f1115])). 12.98/2.30 thf(f1115,plain,( 12.98/2.30 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))))), 12.98/2.30 inference(definition_unfolding,[],[f1088,f1024,f1084,f1113,f947,f1024,f1084,f1114])). 12.98/2.30 thf(f947,plain,( 12.98/2.30 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 12.98/2.30 inference(cnf_transformation,[],[f466])). 12.98/2.30 thf(f466,plain,( 12.98/2.30 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 12.98/2.30 inference(fool_elimination,[],[f465])). 12.98/2.30 thf(f465,plain,( 12.98/2.30 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 12.98/2.30 inference(rectify,[],[f49])). 12.98/2.30 thf(f49,axiom,( 12.98/2.30 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_e_is)). 12.98/2.30 thf(f1113,plain,( 12.98/2.30 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (d_and @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ Y4 @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y6)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ (d_not @ Y4) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y7)))))))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 12.98/2.30 inference(definition_unfolding,[],[f1016,f1112])). 12.98/2.30 thf(f1112,plain,( 12.98/2.30 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y0 @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y2)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y0) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y3)))))))))))))), 12.98/2.30 inference(definition_unfolding,[],[f997,f1012,f947,f1012,f947])). 12.98/2.30 thf(f1012,plain,( 12.98/2.30 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 12.98/2.30 inference(cnf_transformation,[],[f481])). 12.98/2.30 thf(f481,plain,( 12.98/2.30 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 12.98/2.30 inference(fool_elimination,[],[f480])). 12.98/2.30 thf(f480,plain,( 12.98/2.30 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)), 12.98/2.30 inference(rectify,[],[f33])). 12.98/2.30 thf(f33,axiom,( 12.98/2.30 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_imp)). 12.98/2.30 thf(f997,plain,( 12.98/2.30 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 12.98/2.30 inference(cnf_transformation,[],[f859])). 12.98/2.30 thf(f859,plain,( 12.98/2.30 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 12.98/2.30 inference(fool_elimination,[],[f67])). 12.98/2.30 thf(f67,axiom,( 12.98/2.30 (prop1 = (^[X0 : $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i] : (d_and @ (imp @ X0 @ (e_is @ X1 @ X4 @ X2)) @ (imp @ (d_not @ X0) @ (e_is @ X1 @ X4 @ X3)))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_prop1)). 12.98/2.30 thf(f1016,plain,( 12.98/2.30 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 12.98/2.30 inference(cnf_transformation,[],[f429])). 12.98/2.30 thf(f429,plain,( 12.98/2.30 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 12.98/2.30 inference(fool_elimination,[],[f68])). 12.98/2.30 thf(f68,axiom,( 12.98/2.30 ((^[X0 : $o, X1 : $i, X2 : $i, X3 : $i] : (ind @ X1 @ (prop1 @ X0 @ X1 @ X2 @ X3))) = ite)), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_ite)). 12.98/2.30 thf(f1024,plain,( 12.98/2.30 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 12.98/2.30 inference(cnf_transformation,[],[f390])). 12.98/2.30 thf(f390,plain,( 12.98/2.30 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 12.98/2.30 inference(fool_elimination,[],[f205])). 12.98/2.30 thf(f205,axiom,( 12.98/2.30 (d_1to = (^[X0 : $i] : (d_Sep @ nat @ (^[X1 : $i] : (lessis @ X1 @ X0)))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_d_1to)). 12.98/2.30 thf(f1088,plain,( 12.98/2.30 (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)))))))))), 12.98/2.30 inference(cnf_transformation,[],[f485])). 12.98/2.30 thf(f485,plain,( 12.98/2.30 (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)))))))))), 12.98/2.30 inference(fool_elimination,[],[f215])). 12.98/2.30 thf(f215,axiom,( 12.98/2.30 ((^[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)), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_pair1)). 12.98/2.30 thf(f993,plain,( 12.98/2.30 (n_fr = (pair1 @ nat))), 12.98/2.30 inference(cnf_transformation,[],[f385])). 12.98/2.30 thf(f385,plain,( 12.98/2.30 (n_fr = (pair1 @ nat))), 12.98/2.30 inference(fool_elimination,[],[f228])). 12.98/2.30 thf(f228,axiom,( 12.98/2.30 (n_fr = (pair1 @ nat))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_fr)). 12.98/2.30 thf(f1139,plain,( 12.98/2.30 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0)))))))), 12.98/2.30 inference(definition_unfolding,[],[f1075,f1138,f1136,f1137,f1136,f1137])). 12.98/2.30 thf(f1138,plain,( 12.98/2.30 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 12.98/2.30 inference(definition_unfolding,[],[f1106,f947])). 12.98/2.30 thf(f1106,plain,( 12.98/2.30 (n_is = (e_is @ nat))), 12.98/2.30 inference(cnf_transformation,[],[f562])). 12.98/2.30 thf(f562,plain,( 12.98/2.30 (n_is = (e_is @ nat))), 12.98/2.30 inference(fool_elimination,[],[f96])). 12.98/2.30 thf(f96,axiom,( 12.98/2.30 (n_is = (e_is @ nat))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_is)). 12.98/2.30 thf(f1075,plain,( 12.98/2.30 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 12.98/2.30 inference(cnf_transformation,[],[f468])). 12.98/2.30 thf(f468,plain,( 12.98/2.30 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 12.98/2.30 inference(fool_elimination,[],[f231])). 12.98/2.30 thf(f231,axiom,( 12.98/2.30 (n_eq = (^[X0 : $i, X1 : $i] : (n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_n_eq)). 12.98/2.30 thf(f1134,plain,( 12.98/2.30 (frac = ((^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ Y1)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y1 : $i]: (Y0)))) @ nat))), 12.98/2.30 inference(definition_unfolding,[],[f987,f1127])). 12.98/2.30 thf(f1127,plain,( 12.98/2.30 (pair1type = (^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ Y1)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y1 : $i]: (Y0)))))), 12.98/2.30 inference(definition_unfolding,[],[f995,f1024,f1084])). 12.98/2.30 thf(f995,plain,( 12.98/2.30 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 12.98/2.30 inference(cnf_transformation,[],[f636])). 12.98/2.30 thf(f636,plain,( 12.98/2.30 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 12.98/2.30 inference(fool_elimination,[],[f214])). 12.98/2.30 thf(f214,axiom,( 12.98/2.30 (pair1type = (^[X0 : $i] : (d_Pi @ (d_1to @ n_2) @ (^[X1 : $i] : (X0)))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_pair1type)). 12.98/2.30 thf(f987,plain,( 12.98/2.30 (frac = (pair1type @ nat))), 12.98/2.30 inference(cnf_transformation,[],[f760])). 12.98/2.30 thf(f760,plain,( 12.98/2.30 (frac = (pair1type @ nat))), 12.98/2.30 inference(fool_elimination,[],[f227])). 12.98/2.30 thf(f227,axiom,( 12.98/2.30 (frac = (pair1type @ nat))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_frac)). 12.98/2.30 thf(f1111,plain,( 12.98/2.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 12.98/2.30 inference(definition_unfolding,[],[f1070,f1061])). 12.98/2.30 thf(f1061,plain,( 12.98/2.30 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 12.98/2.30 inference(cnf_transformation,[],[f598])). 12.98/2.30 thf(f598,plain,( 12.98/2.30 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 12.98/2.30 inference(fool_elimination,[],[f1])). 12.98/2.30 thf(f1,axiom,( 12.98/2.30 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_is_of)). 12.98/2.30 thf(f1070,plain,( 12.98/2.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 12.98/2.30 inference(cnf_transformation,[],[f395])). 12.98/2.30 thf(f395,plain,( 12.98/2.30 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 12.98/2.30 inference(fool_elimination,[],[f394])). 12.98/2.30 thf(f394,plain,( 12.98/2.30 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 12.98/2.30 inference(rectify,[],[f2])). 12.98/2.30 thf(f2,axiom,( 12.98/2.30 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',def_all_of)). 12.98/2.30 thf(f990,plain,( 12.98/2.30 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 12.98/2.30 inference(cnf_transformation,[],[f941])). 12.98/2.30 thf(f941,plain,( 12.98/2.30 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 12.98/2.30 inference(flattening,[],[f729])). 12.98/2.30 thf(f729,plain,( 12.98/2.30 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1)) @ Y0))))))), 12.98/2.30 inference(fool_elimination,[],[f728])). 12.98/2.30 thf(f728,plain,( 12.98/2.30 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X1) @ X3) @ (n_ts @ (den @ X1) @ X3)) @ X1)))))), 12.98/2.30 inference(rectify,[],[f260])). 12.98/2.30 thf(f260,negated_conjecture,( 12.98/2.30 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)) @ X0)))))), 12.98/2.30 inference(negated_conjecture,[],[f259])). 12.98/2.30 thf(f259,conjecture,( 12.98/2.30 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)) @ X0)))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',satz40a)). 12.98/2.30 thf(f2634,plain,( 12.98/2.30 ((in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) = $false) | ((in @ sK3 @ nat) = $false)), 12.98/2.30 inference(trivial_inequality_removal,[],[f2629])). 12.98/2.30 thf(f2629,plain,( 12.98/2.30 ((in @ sK3 @ nat) = $false) | ((in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) = $false) | ((n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))), 12.98/2.30 inference(superposition,[],[f1934,f1856])). 12.98/2.30 thf(f1856,plain,( 12.98/2.30 ( ! [X2 : $i,X1 : $i] : (((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ((in @ X2 @ nat) = $false)) )), 12.98/2.30 inference(equality_proxy_clausification,[],[f1855])). 12.98/2.30 thf(f1855,plain,( 12.98/2.30 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))) )), 12.98/2.30 inference(binary_proxy_clausification,[],[f1854])). 12.98/2.30 thf(f1854,plain,( 12.98/2.30 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ X2))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ X2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))) )), 12.98/2.30 inference(beta_eta_normalization,[],[f1853])). 12.98/2.30 thf(f1853,plain,( 12.98/2.30 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ X2)) | ($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))) )), 12.98/2.30 inference(pi_clausification,[],[f1852])). 12.98/2.30 thf(f1852,plain,( 12.98/2.30 ( ! [X1 : $i] : (($false = (in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat))))) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) )), 12.98/2.30 inference(binary_proxy_clausification,[],[f1851])). 12.98/2.30 thf(f1851,plain,( 12.98/2.30 ( ! [X1 : $i] : (($true = ((in @ X1 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ X1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))) )), 12.98/2.30 inference(beta_eta_normalization,[],[f1850])). 12.98/2.30 thf(f1850,plain,( 12.98/2.30 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ X1))) )), 12.98/2.30 inference(pi_clausification,[],[f1341])). 12.98/2.30 thf(f1341,plain,( 12.98/2.30 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ Y0 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))), 12.98/2.30 inference(beta_eta_normalization,[],[f1206])). 12.98/2.30 thf(f1206,plain,( 12.98/2.30 ($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 @ ((^[Y1 : $i]: (d_Pi @ ((^[Y2 : $i]: (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ Y2)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y2 : $i]: (Y1)))) @ nat))) @ (^[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 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y2)))))) @ Y0 @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_Sigma @ ((^[Y5 : $i]: (d_Sep @ nat @ (^[Y6 : $i]: (lessis @ Y6 @ Y5)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (ind @ Y7 @ ((^[Y10 : $o]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (d_and @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ Y10 @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y12)) @ ((^[Y15 : $o]: ((^[Y16 : $o]: (Y15 => Y16)))) @ (d_not @ Y10) @ ((^[Y15 : $i]: ((^[Y16 : $i]: ((^[Y17 : $i]: (Y16 = Y17)))))) @ Y11 @ Y14 @ Y13)))))))))))) @ Y6 @ Y7 @ Y8 @ Y9))))))))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ Y5 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y2 @ Y3 @ Y4)))))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ Y1) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0) @ Y1))))))))), 12.98/2.30 inference(definition_unfolding,[],[f1029,f1111,f1134,f1111,f1139,f1135,f1136,f1137])). 12.98/2.30 thf(f1029,plain,( 12.98/2.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ Y0 @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1))))))))), 12.98/2.30 inference(cnf_transformation,[],[f571])). 12.98/2.30 thf(f571,plain,( 12.98/2.30 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_eq @ Y0 @ (n_fr @ (n_ts @ (num @ Y0) @ Y1) @ (n_ts @ (den @ Y0) @ Y1))))))))), 12.98/2.30 inference(fool_elimination,[],[f570])). 12.98/2.30 thf(f570,plain,( 12.98/2.30 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_eq @ X1 @ (n_fr @ (n_ts @ (num @ X1) @ X3) @ (n_ts @ (den @ X1) @ X3)))))))), 12.98/2.30 inference(rectify,[],[f320])). 12.98/2.30 thf(f320,axiom,( 12.98/2.30 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_eq @ X0 @ (n_fr @ (n_ts @ (num @ X0) @ X1) @ (n_ts @ (den @ X0) @ X1)))))))), 12.98/2.30 file('/export/starexec/sandbox2/tmp/tmp.W43flQBYyF/E---3.1_22157.p',satz40)). 12.98/2.30 thf(f1934,plain,( 12.98/2.30 ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))), 12.98/2.30 inference(equality_proxy_clausification,[],[f1932])). 12.98/2.30 thf(f1932,plain,( 12.98/2.30 (((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ sK3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ (ap @ sK2 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))) @ sK3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) = $false)), 12.98/2.30 inference(binary_proxy_clausification,[],[f1931])). 12.98/2.30 thf(f1929,plain,( 12.98/2.30 ($true = (in @ sK2 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (nat)))))), 12.98/2.30 inference(binary_proxy_clausification,[],[f1927])). 12.98/2.30 % SZS output end Proof for E---3.1_22157 12.98/2.30 % (22393)------------------------------ 12.98/2.30 % (22393)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 12.98/2.30 % (22393)Termination reason: Refutation 12.98/2.30 12.98/2.30 % (22393)Memory used [KB]: 9083 12.98/2.30 % (22393)Time elapsed: 0.196 s 12.98/2.30 % (22393)Instructions burned: 568 (million) 12.98/2.30 % (22393)------------------------------ 12.98/2.30 % (22393)------------------------------ 12.98/2.30 % (22263)Success in time 1.894 s 12.98/2.30 EOF