0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d THM 0.12/0.33 % Computer : n005.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 06:25:49 EDT 2025 0.12/0.33 % CPUTime : 0.18/0.34 This is a THF_ problem 0.18/0.35 Running higher-order theorem proving 0.18/0.40 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.mNqlMDGWh6/E---3.1_27610.p -m 16384 -t 240 0.26/0.45 % (27717)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/183Mi) 0.26/0.45 % (27718)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_27610 for (2399ds/4Mi) 0.26/0.45 % (27719)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_27610 for (2399ds/27Mi) 0.26/0.45 % (27720)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/2Mi) 0.26/0.45 % (27721)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_27610 for (2399ds/2Mi) 0.26/0.45 % (27722)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_27610 for (2399ds/275Mi) 0.26/0.45 % (27723)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/18Mi) 0.26/0.45 % (27720)Instruction limit reached! 0.26/0.45 % (27720)------------------------------ 0.26/0.45 % (27720)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (27720)Termination reason: Unknown 0.26/0.45 % (27720)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (27720)Memory used [KB]: 1535 0.26/0.45 % (27721)Instruction limit reached! 0.26/0.45 % (27721)------------------------------ 0.26/0.45 % (27721)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (27721)Termination reason: Unknown 0.26/0.45 % (27721)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (27721)Memory used [KB]: 1535 0.26/0.45 % (27721)Time elapsed: 0.004 s 0.26/0.45 % (27721)Instructions burned: 3 (million) 0.26/0.45 % (27721)------------------------------ 0.26/0.45 % (27721)------------------------------ 0.26/0.45 % (27720)Time elapsed: 0.004 s 0.26/0.45 % (27720)Instructions burned: 3 (million) 0.26/0.45 % (27720)------------------------------ 0.26/0.45 % (27720)------------------------------ 0.26/0.45 % (27718)Instruction limit reached! 0.26/0.45 % (27718)------------------------------ 0.26/0.45 % (27718)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.45 % (27718)Termination reason: Unknown 0.26/0.45 % (27718)Termination phase: shuffling 0.26/0.45 0.26/0.45 % (27718)Memory used [KB]: 1535 0.26/0.45 % (27718)Time elapsed: 0.005 s 0.26/0.45 % (27718)Instructions burned: 4 (million) 0.26/0.45 % (27718)------------------------------ 0.26/0.45 % (27718)------------------------------ 0.26/0.46 % (27723)Instruction limit reached! 0.26/0.46 % (27723)------------------------------ 0.26/0.46 % (27723)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (27723)Termination reason: Unknown 0.26/0.46 % (27723)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (27723)Memory used [KB]: 1791 0.26/0.46 % (27723)Time elapsed: 0.012 s 0.26/0.46 % (27723)Instructions burned: 18 (million) 0.26/0.46 % (27723)------------------------------ 0.26/0.46 % (27723)------------------------------ 0.26/0.46 % (27719)Instruction limit reached! 0.26/0.46 % (27719)------------------------------ 0.26/0.46 % (27719)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.46 % (27719)Termination reason: Unknown 0.26/0.46 % (27719)Termination phase: shuffling 0.26/0.46 0.26/0.46 % (27719)Memory used [KB]: 1918 0.26/0.46 % (27719)Time elapsed: 0.017 s 0.26/0.46 % (27719)Instructions burned: 27 (million) 0.26/0.46 % (27719)------------------------------ 0.26/0.46 % (27719)------------------------------ 0.26/0.46 % (27724)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_27610 for (2399ds/3Mi) 0.26/0.46 % (27725)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_27610 for (2399ds/37Mi) 0.26/0.46 % (27726)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_27610 for (2399ds/15Mi) 0.26/0.47 % (27724)Instruction limit reached! 0.26/0.47 % (27724)------------------------------ 0.26/0.47 % (27724)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (27724)Termination reason: Unknown 0.26/0.47 % (27724)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (27724)Memory used [KB]: 1535 0.26/0.47 % (27724)Time elapsed: 0.004 s 0.26/0.47 % (27724)Instructions burned: 3 (million) 0.26/0.47 % (27724)------------------------------ 0.26/0.47 % (27724)------------------------------ 0.26/0.47 % (27726)Instruction limit reached! 0.26/0.47 % (27726)------------------------------ 0.26/0.47 % (27726)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.47 % (27726)Termination reason: Unknown 0.26/0.47 % (27726)Termination phase: shuffling 0.26/0.47 0.26/0.47 % (27726)Memory used [KB]: 1791 0.26/0.47 % (27726)Time elapsed: 0.011 s 0.26/0.47 % (27726)Instructions burned: 16 (million) 0.26/0.47 % (27726)------------------------------ 0.26/0.47 % (27726)------------------------------ 0.26/0.47 % (27728)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_27610 for (2399ds/1041Mi) 0.26/0.48 % (27727)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_27610 for (2399ds/3Mi) 0.26/0.48 % (27727)Instruction limit reached! 0.26/0.48 % (27727)------------------------------ 0.26/0.48 % (27727)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (27727)Termination reason: Unknown 0.26/0.48 % (27727)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (27727)Memory used [KB]: 1535 0.26/0.48 % (27727)Time elapsed: 0.004 s 0.26/0.48 % (27727)Instructions burned: 3 (million) 0.26/0.48 % (27727)------------------------------ 0.26/0.48 % (27727)------------------------------ 0.26/0.48 % (27729)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/7Mi) 0.26/0.48 % (27725)Instruction limit reached! 0.26/0.48 % (27725)------------------------------ 0.26/0.48 % (27725)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (27725)Termination reason: Unknown 0.26/0.48 % (27725)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (27725)Memory used [KB]: 2174 0.26/0.48 % (27725)Time elapsed: 0.021 s 0.26/0.48 % (27725)Instructions burned: 38 (million) 0.26/0.48 % (27725)------------------------------ 0.26/0.48 % (27725)------------------------------ 0.26/0.48 % (27729)Instruction limit reached! 0.26/0.48 % (27729)------------------------------ 0.26/0.48 % (27729)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.48 % (27729)Termination reason: Unknown 0.26/0.48 % (27729)Termination phase: shuffling 0.26/0.48 0.26/0.48 % (27729)Memory used [KB]: 1663 0.26/0.48 % (27729)Time elapsed: 0.006 s 0.26/0.48 % (27729)Instructions burned: 7 (million) 0.26/0.48 % (27729)------------------------------ 0.26/0.48 % (27729)------------------------------ 0.26/0.49 % (27730)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/16Mi) 0.26/0.49 % (27731)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_27610 for (2399ds/3Mi) 0.26/0.49 % (27722)Refutation not found, incomplete strategy 0.26/0.49 % (27722)------------------------------ 0.26/0.49 % (27722)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.49 % (27722)Termination reason: Refutation not found, incomplete strategy 0.26/0.49 0.26/0.49 0.26/0.49 % (27722)Memory used [KB]: 6780 0.26/0.49 % (27722)Time elapsed: 0.051 s 0.26/0.49 % (27722)Instructions burned: 96 (million) 0.26/0.49 % (27722)------------------------------ 0.26/0.49 % (27722)------------------------------ 0.26/0.50 % (27731)Instruction limit reached! 0.26/0.50 % (27731)------------------------------ 0.26/0.50 % (27731)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (27731)Termination reason: Unknown 0.26/0.50 % (27731)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (27731)Memory used [KB]: 1535 0.26/0.50 % (27731)Time elapsed: 0.004 s 0.26/0.50 % (27731)Instructions burned: 3 (million) 0.26/0.50 % (27731)------------------------------ 0.26/0.50 % (27731)------------------------------ 0.26/0.50 % (27730)Instruction limit reached! 0.26/0.50 % (27730)------------------------------ 0.26/0.50 % (27730)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (27730)Termination reason: Unknown 0.26/0.50 % (27730)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (27730)Memory used [KB]: 1791 0.26/0.50 % (27730)Time elapsed: 0.011 s 0.26/0.50 % (27730)Instructions burned: 16 (million) 0.26/0.50 % (27730)------------------------------ 0.26/0.50 % (27730)------------------------------ 0.26/0.50 % (27732)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_27610 for (2399ds/3Mi) 0.26/0.50 % (27732)Instruction limit reached! 0.26/0.50 % (27732)------------------------------ 0.26/0.50 % (27732)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (27732)Termination reason: Unknown 0.26/0.50 % (27732)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (27732)Memory used [KB]: 1535 0.26/0.50 % (27732)Time elapsed: 0.004 s 0.26/0.50 % (27732)Instructions burned: 3 (million) 0.26/0.50 % (27732)------------------------------ 0.26/0.50 % (27732)------------------------------ 0.26/0.50 % (27733)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_27610 for (2399ds/7Mi) 0.26/0.50 % (27733)Instruction limit reached! 0.26/0.50 % (27733)------------------------------ 0.26/0.50 % (27733)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.50 % (27733)Termination reason: Unknown 0.26/0.50 % (27733)Termination phase: shuffling 0.26/0.50 0.26/0.50 % (27733)Memory used [KB]: 1535 0.26/0.50 % (27733)Time elapsed: 0.006 s 0.26/0.50 % (27733)Instructions burned: 7 (million) 0.26/0.50 % (27733)------------------------------ 0.26/0.50 % (27733)------------------------------ 0.26/0.51 % (27734)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_27610 for (2399ds/3Mi) 0.26/0.51 % (27735)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/4Mi) 0.26/0.51 % (27734)Instruction limit reached! 0.26/0.51 % (27734)------------------------------ 0.26/0.51 % (27734)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (27734)Termination reason: Unknown 0.26/0.51 % (27734)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (27734)Memory used [KB]: 1535 0.26/0.51 % (27734)Time elapsed: 0.004 s 0.26/0.51 % (27734)Instructions burned: 4 (million) 0.26/0.51 % (27734)------------------------------ 0.26/0.51 % (27734)------------------------------ 0.26/0.51 % (27736)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_27610 for (2399ds/18Mi) 0.26/0.51 % (27735)Instruction limit reached! 0.26/0.51 % (27735)------------------------------ 0.26/0.51 % (27735)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.51 % (27735)Termination reason: Unknown 0.26/0.51 % (27735)Termination phase: shuffling 0.26/0.51 0.26/0.51 % (27735)Memory used [KB]: 1535 0.26/0.51 % (27735)Time elapsed: 0.005 s 0.26/0.51 % (27735)Instructions burned: 5 (million) 0.26/0.51 % (27735)------------------------------ 0.26/0.51 % (27735)------------------------------ 0.26/0.52 % (27737)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/710Mi) 0.26/0.52 % (27738)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_27610 for (2399ds/6Mi) 0.26/0.52 % (27736)Instruction limit reached! 0.26/0.52 % (27736)------------------------------ 0.26/0.52 % (27736)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (27736)Termination reason: Unknown 0.26/0.52 % (27736)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (27736)Memory used [KB]: 1791 0.26/0.52 % (27736)Time elapsed: 0.012 s 0.26/0.52 % (27736)Instructions burned: 18 (million) 0.26/0.52 % (27736)------------------------------ 0.26/0.52 % (27736)------------------------------ 0.26/0.52 % (27738)Instruction limit reached! 0.26/0.52 % (27738)------------------------------ 0.26/0.52 % (27738)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (27738)Termination reason: Unknown 0.26/0.52 % (27738)Termination phase: shuffling 0.26/0.52 0.26/0.52 % (27738)Memory used [KB]: 1663 0.26/0.52 % (27738)Time elapsed: 0.006 s 0.26/0.52 % (27738)Instructions burned: 7 (million) 0.26/0.52 % (27738)------------------------------ 0.26/0.52 % (27738)------------------------------ 0.26/0.52 % (27717)Instruction limit reached! 0.26/0.52 % (27717)------------------------------ 0.26/0.52 % (27717)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.52 % (27717)Termination reason: Unknown 0.26/0.52 % (27717)Termination phase: Function definition elimination 0.26/0.52 0.26/0.52 % (27717)Memory used [KB]: 2430 0.26/0.52 % (27717)Time elapsed: 0.082 s 0.26/0.53 % (27717)Instructions burned: 185 (million) 0.26/0.53 % (27717)------------------------------ 0.26/0.53 % (27717)------------------------------ 0.26/0.53 % (27739)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_27610 for (2398ds/902Mi) 0.26/0.53 % (27740)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_27610 for (2398ds/21Mi) 0.26/0.54 % (27741)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_27610 for (2398ds/5Mi) 0.26/0.54 % (27742)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_27610 for (2398ds/6Mi) 0.26/0.54 % (27743)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_27610 for (2398ds/377Mi) 0.26/0.54 % (27741)Instruction limit reached! 0.26/0.54 % (27741)------------------------------ 0.26/0.54 % (27741)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (27741)Termination reason: Unknown 0.26/0.54 % (27741)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (27741)Memory used [KB]: 1535 0.26/0.54 % (27741)Time elapsed: 0.005 s 0.26/0.54 % (27741)Instructions burned: 6 (million) 0.26/0.54 % (27741)------------------------------ 0.26/0.54 % (27741)------------------------------ 0.26/0.54 % (27740)Instruction limit reached! 0.26/0.54 % (27740)------------------------------ 0.26/0.54 % (27740)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (27740)Termination reason: Unknown 0.26/0.54 % (27740)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (27740)Memory used [KB]: 1791 0.26/0.54 % (27740)Time elapsed: 0.014 s 0.26/0.54 % (27740)Instructions burned: 22 (million) 0.26/0.54 % (27740)------------------------------ 0.26/0.54 % (27740)------------------------------ 0.26/0.54 % (27742)Instruction limit reached! 0.26/0.54 % (27742)------------------------------ 0.26/0.54 % (27742)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.54 % (27742)Termination reason: Unknown 0.26/0.54 % (27742)Termination phase: shuffling 0.26/0.54 0.26/0.54 % (27742)Memory used [KB]: 1663 0.26/0.54 % (27742)Time elapsed: 0.006 s 0.26/0.54 % (27742)Instructions burned: 7 (million) 0.26/0.54 % (27742)------------------------------ 0.26/0.54 % (27742)------------------------------ 0.26/0.56 % (27745)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_27610 for (2398ds/19Mi) 0.26/0.56 % (27746)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_27610 for (2398ds/879Mi) 0.26/0.56 % (27745)Instruction limit reached! 0.26/0.56 % (27745)------------------------------ 0.26/0.56 % (27745)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.26/0.56 % (27745)Termination reason: Unknown 0.26/0.56 % (27745)Termination phase: shuffling 0.26/0.56 0.26/0.56 % (27745)Memory used [KB]: 1918 0.26/0.56 % (27745)Time elapsed: 0.010 s 0.26/0.57 % (27745)Instructions burned: 20 (million) 0.26/0.57 % (27745)------------------------------ 0.26/0.57 % (27745)------------------------------ 1.17/0.57 % (27744)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_27610 for (2398ds/779Mi) 1.17/0.57 % (27747)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_27610 for (2398ds/17Mi) 1.17/0.58 % (27747)Instruction limit reached! 1.17/0.58 % (27747)------------------------------ 1.17/0.58 % (27747)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.17/0.58 % (27747)Termination reason: Unknown 1.17/0.58 % (27747)Termination phase: shuffling 1.17/0.58 1.17/0.58 % (27747)Memory used [KB]: 1791 1.17/0.58 % (27747)Time elapsed: 0.007 s 1.17/0.58 % (27747)Instructions burned: 19 (million) 1.17/0.58 % (27747)------------------------------ 1.17/0.58 % (27747)------------------------------ 1.27/0.58 % (27739)Refutation not found, incomplete strategy 1.27/0.58 % (27739)------------------------------ 1.27/0.58 % (27739)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.27/0.58 % (27739)Termination reason: Refutation not found, incomplete strategy 1.27/0.58 1.27/0.58 1.27/0.58 % (27739)Memory used [KB]: 7036 1.27/0.58 % (27739)Time elapsed: 0.057 s 1.27/0.58 % (27739)Instructions burned: 140 (million) 1.27/0.58 % (27739)------------------------------ 1.27/0.58 % (27739)------------------------------ 1.27/0.59 % (27748)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_27610 for (2398ds/3Mi) 1.27/0.59 % (27748)Instruction limit reached! 1.27/0.59 % (27748)------------------------------ 1.27/0.59 % (27748)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.27/0.59 % (27748)Termination reason: Unknown 1.27/0.59 % (27748)Termination phase: shuffling 1.27/0.59 1.27/0.59 % (27748)Memory used [KB]: 1535 1.27/0.59 % (27748)Time elapsed: 0.003 s 1.27/0.59 % (27748)Instructions burned: 4 (million) 1.27/0.59 % (27748)------------------------------ 1.27/0.59 % (27748)------------------------------ 1.27/0.59 % (27746)Refutation not found, incomplete strategy 1.27/0.59 % (27746)------------------------------ 1.27/0.59 % (27746)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.27/0.59 % (27746)Termination reason: Refutation not found, incomplete strategy 1.27/0.59 1.27/0.59 1.27/0.59 % (27746)Memory used [KB]: 6780 1.27/0.59 % (27746)Time elapsed: 0.035 s 1.27/0.59 % (27746)Instructions burned: 97 (million) 1.27/0.59 % (27746)------------------------------ 1.27/0.59 % (27746)------------------------------ 1.27/0.59 % (27749)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_27610 for (2398ds/30Mi) 1.27/0.60 % (27750)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_27610 for (2398ds/127Mi) 1.27/0.60 % (27751)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_27610 for (2398ds/100Mi) 1.27/0.60 % (27749)Instruction limit reached! 1.27/0.60 % (27749)------------------------------ 1.27/0.60 % (27749)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.27/0.60 % (27749)Termination reason: Unknown 1.27/0.60 % (27749)Termination phase: shuffling 1.27/0.60 1.27/0.60 % (27749)Memory used [KB]: 2046 1.27/0.60 % (27749)Time elapsed: 0.011 s 1.27/0.60 % (27749)Instructions burned: 31 (million) 1.27/0.60 % (27749)------------------------------ 1.27/0.60 % (27749)------------------------------ 1.27/0.61 % (27752)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_27610 for (2398ds/3Mi) 1.27/0.61 % (27752)Instruction limit reached! 1.27/0.61 % (27752)------------------------------ 1.27/0.61 % (27752)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.27/0.61 % (27752)Termination reason: Unknown 1.27/0.61 % (27752)Termination phase: shuffling 1.27/0.61 1.27/0.61 % (27752)Memory used [KB]: 1535 1.27/0.61 % (27752)Time elapsed: 0.003 s 1.27/0.61 % (27752)Instructions burned: 4 (million) 1.27/0.61 % (27752)------------------------------ 1.27/0.61 % (27752)------------------------------ 1.27/0.62 % (27753)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_27610 for (2398ds/20Mi) 1.50/0.63 % (27751)Instruction limit reached! 1.50/0.63 % (27751)------------------------------ 1.50/0.63 % (27751)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.63 % (27751)Termination reason: Unknown 1.50/0.63 % (27751)Termination phase: Function definition elimination 1.50/0.63 % (27753)Instruction limit reached! 1.50/0.63 % (27753)------------------------------ 1.50/0.63 % (27753)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.63 % (27753)Termination reason: Unknown 1.50/0.63 % (27753)Termination phase: shuffling 1.50/0.63 1.50/0.63 % (27753)Memory used [KB]: 1791 1.50/0.63 % (27753)Time elapsed: 0.008 s 1.50/0.63 % (27753)Instructions burned: 20 (million) 1.50/0.63 % (27753)------------------------------ 1.50/0.63 % (27753)------------------------------ 1.50/0.63 1.50/0.63 % (27751)Memory used [KB]: 2302 1.50/0.63 % (27751)Time elapsed: 0.029 s 1.50/0.63 % (27751)Instructions burned: 101 (million) 1.50/0.63 % (27751)------------------------------ 1.50/0.63 % (27751)------------------------------ 1.50/0.63 % (27743)Instruction limit reached! 1.50/0.63 % (27743)------------------------------ 1.50/0.63 % (27743)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.50/0.63 % (27743)Termination reason: Unknown 1.50/0.63 % (27743)Termination phase: Function definition elimination 1.50/0.63 1.50/0.63 % (27743)Memory used [KB]: 2430 1.50/0.63 % (27743)Time elapsed: 0.095 s 1.50/0.63 % (27743)Instructions burned: 378 (million) 1.50/0.63 % (27743)------------------------------ 1.50/0.63 % (27743)------------------------------ 1.59/0.64 % (27750)Instruction limit reached! 1.59/0.64 % (27750)------------------------------ 1.59/0.64 % (27750)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.64 % (27750)Termination reason: Unknown 1.59/0.64 % (27750)Termination phase: Function definition elimination 1.59/0.64 1.59/0.64 % (27750)Memory used [KB]: 2430 1.59/0.64 % (27750)Time elapsed: 0.037 s 1.59/0.64 % (27750)Instructions burned: 131 (million) 1.59/0.64 % (27750)------------------------------ 1.59/0.64 % (27750)------------------------------ 1.59/0.64 % (27754)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_27610 for (2397ds/86Mi) 1.59/0.64 % (27755)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_27610 for (2397ds/107Mi) 1.59/0.64 % (27756)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_27610 for (2397ds/39Mi) 1.59/0.64 % (27757)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_27610 for (2397ds/448Mi) 1.59/0.65 % (27756)Instruction limit reached! 1.59/0.65 % (27756)------------------------------ 1.59/0.65 % (27756)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.65 % (27756)Termination reason: Unknown 1.59/0.65 % (27756)Termination phase: shuffling 1.59/0.65 1.59/0.65 % (27756)Memory used [KB]: 2174 1.59/0.65 % (27756)Time elapsed: 0.013 s 1.59/0.65 % (27756)Instructions burned: 40 (million) 1.59/0.65 % (27756)------------------------------ 1.59/0.65 % (27756)------------------------------ 1.59/0.66 % (27754)Instruction limit reached! 1.59/0.66 % (27754)------------------------------ 1.59/0.66 % (27754)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.66 % (27754)Termination reason: Unknown 1.59/0.66 % (27754)Termination phase: Property scanning 1.59/0.66 1.59/0.66 % (27754)Memory used [KB]: 2302 1.59/0.66 % (27754)Time elapsed: 0.026 s 1.59/0.66 % (27754)Instructions burned: 86 (million) 1.59/0.66 % (27754)------------------------------ 1.59/0.66 % (27754)------------------------------ 1.59/0.66 % (27758)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_27610 for (2397ds/46Mi) 1.59/0.67 % (27755)Instruction limit reached! 1.59/0.67 % (27755)------------------------------ 1.59/0.67 % (27755)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.67 % (27755)Termination reason: Unknown 1.59/0.67 % (27755)Termination phase: Property scanning 1.59/0.67 1.59/0.67 % (27755)Memory used [KB]: 2302 1.59/0.67 % (27755)Time elapsed: 0.032 s 1.59/0.67 % (27755)Instructions burned: 109 (million) 1.59/0.67 % (27755)------------------------------ 1.59/0.67 % (27755)------------------------------ 1.59/0.67 % (27759)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_27610 for (2397ds/98Mi) 1.59/0.68 % (27760)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_27610 for (2397ds/507Mi) 1.59/0.68 % (27758)Instruction limit reached! 1.59/0.68 % (27758)------------------------------ 1.59/0.68 % (27758)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.68 % (27758)Termination reason: Unknown 1.59/0.68 % (27758)Termination phase: Property scanning 1.59/0.68 1.59/0.68 % (27758)Memory used [KB]: 2174 1.59/0.68 % (27758)Time elapsed: 0.016 s 1.59/0.68 % (27758)Instructions burned: 48 (million) 1.59/0.68 % (27758)------------------------------ 1.59/0.68 % (27758)------------------------------ 1.59/0.69 % (27761)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_27610 for (2397ds/149Mi) 1.59/0.69 % (27744)First to succeed. 1.59/0.69 % (27744)Refutation found. Thanks to Tanya! 1.59/0.69 % SZS status Theorem for E---3.1_27610 1.59/0.69 % SZS output start Proof for E---3.1_27610 1.59/0.69 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 1.59/0.69 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 1.59/0.69 thf(func_def_3, type, eps: ($i > $o) > $i). 1.59/0.69 thf(func_def_4, type, in: $i > $i > $o). 1.59/0.69 thf(func_def_5, type, d_Subq: $i > $i > $o). 1.59/0.69 thf(func_def_7, type, union: $i > $i). 1.59/0.69 thf(func_def_8, type, power: $i > $i). 1.59/0.69 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 1.59/0.69 thf(func_def_10, type, d_Union_closed: $i > $o). 1.59/0.69 thf(func_def_11, type, d_Power_closed: $i > $o). 1.59/0.69 thf(func_def_12, type, d_Repl_closed: $i > $o). 1.59/0.69 thf(func_def_13, type, d_ZF_closed: $i > $o). 1.59/0.69 thf(func_def_14, type, univof: $i > $i). 1.59/0.69 thf(func_def_15, type, if: $o > $i > $i > $i). 1.59/0.69 thf(func_def_16, type, nIn: $i > $i > $o). 1.59/0.69 thf(func_def_17, type, d_UPair: $i > $i > $i). 1.59/0.69 thf(func_def_18, type, d_Sing: $i > $i). 1.59/0.69 thf(func_def_19, type, binunion: $i > $i > $i). 1.59/0.69 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 1.59/0.69 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 1.59/0.69 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 1.59/0.69 thf(func_def_23, type, setminus: $i > $i > $i). 1.59/0.69 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 1.59/0.69 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 1.59/0.69 thf(func_def_26, type, ordsucc: $i > $i). 1.59/0.69 thf(func_def_27, type, nat_p: $i > $o). 1.59/0.69 thf(func_def_29, type, d_Inj1: $i > $i). 1.59/0.69 thf(func_def_30, type, d_Inj0: $i > $i). 1.59/0.69 thf(func_def_31, type, d_Unj: $i > $i). 1.59/0.69 thf(func_def_32, type, pair: $i > $i > $i). 1.59/0.69 thf(func_def_33, type, proj0: $i > $i). 1.59/0.69 thf(func_def_34, type, proj1: $i > $i). 1.59/0.69 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 1.59/0.69 thf(func_def_36, type, setprod: $i > $i > $i). 1.59/0.69 thf(func_def_37, type, ap: $i > $i > $i). 1.59/0.69 thf(func_def_38, type, pair_p: $i > $o). 1.59/0.69 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 1.59/0.69 thf(func_def_40, type, imp: $o > $o > $o). 1.59/0.69 thf(func_def_41, type, d_not: $o > $o). 1.59/0.69 thf(func_def_42, type, wel: $o > $o). 1.59/0.69 thf(func_def_44, type, l_ec: $o > $o > $o). 1.59/0.69 thf(func_def_45, type, d_and: $o > $o > $o). 1.59/0.69 thf(func_def_46, type, l_or: $o > $o > $o). 1.59/0.69 thf(func_def_47, type, orec: $o > $o > $o). 1.59/0.69 thf(func_def_48, type, l_iff: $o > $o > $o). 1.59/0.69 thf(func_def_49, type, all: $i > ($i > $o) > $o). 1.59/0.69 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 1.59/0.69 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 1.59/0.69 thf(func_def_52, type, or3: $o > $o > $o > $o). 1.59/0.69 thf(func_def_53, type, and3: $o > $o > $o > $o). 1.59/0.69 thf(func_def_54, type, ec3: $o > $o > $o > $o). 1.59/0.69 thf(func_def_55, type, orec3: $o > $o > $o > $o). 1.59/0.69 thf(func_def_56, type, e_is: $i > $i > $i > $o). 1.59/0.69 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 1.59/0.69 thf(func_def_58, type, one: $i > ($i > $o) > $o). 1.59/0.69 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 1.59/0.69 thf(func_def_60, type, injective: $i > $i > $i > $o). 1.59/0.69 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 1.59/0.69 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_64, type, inverse: $i > $i > $i > $i). 1.59/0.69 thf(func_def_65, type, surjective: $i > $i > $i > $o). 1.59/0.69 thf(func_def_66, type, bijective: $i > $i > $i > $o). 1.59/0.69 thf(func_def_67, type, invf: $i > $i > $i > $i). 1.59/0.69 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 1.59/0.69 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 1.59/0.69 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_72, type, first: $i > $i > $i > $i). 1.59/0.69 thf(func_def_73, type, second: $i > $i > $i > $i). 1.59/0.69 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 1.59/0.69 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 1.59/0.69 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_78, type, wissel: $i > $i > $i > $i). 1.59/0.69 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_80, type, r_ec: $o > $o > $o). 1.59/0.69 thf(func_def_81, type, esti: $i > $i > $i > $o). 1.59/0.69 thf(func_def_82, type, empty: $i > $i > $o). 1.59/0.69 thf(func_def_83, type, nonempty: $i > $i > $o). 1.59/0.69 thf(func_def_84, type, incl: $i > $i > $i > $o). 1.59/0.69 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 1.59/0.69 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 1.59/0.69 thf(func_def_87, type, unmore: $i > $i > $i > $i). 1.59/0.69 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 1.59/0.69 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 1.59/0.69 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 1.59/0.69 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 1.59/0.69 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 1.59/0.69 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 1.59/0.69 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 1.59/0.69 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 1.59/0.69 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 1.59/0.69 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 1.59/0.69 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.59/0.69 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 1.59/0.69 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 1.59/0.69 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_103, type, n_is: $i > $i > $o). 1.59/0.69 thf(func_def_104, type, nis: $i > $i > $o). 1.59/0.69 thf(func_def_105, type, n_in: $i > $i > $o). 1.59/0.69 thf(func_def_106, type, n_some: ($i > $o) > $o). 1.59/0.69 thf(func_def_107, type, n_all: ($i > $o) > $o). 1.59/0.69 thf(func_def_108, type, n_one: ($i > $o) > $o). 1.59/0.69 thf(func_def_110, type, cond1: $i > $o). 1.59/0.69 thf(func_def_111, type, cond2: $i > $o). 1.59/0.69 thf(func_def_112, type, i1_s: ($i > $o) > $i). 1.59/0.69 thf(func_def_113, type, d_22_prop1: $i > $o). 1.59/0.69 thf(func_def_114, type, d_23_prop1: $i > $o). 1.59/0.69 thf(func_def_115, type, d_24_prop1: $i > $o). 1.59/0.69 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 1.59/0.69 thf(func_def_117, type, prop3: $i > $i > $i > $o). 1.59/0.69 thf(func_def_118, type, prop4: $i > $o). 1.59/0.69 thf(func_def_119, type, d_24_g: $i > $i). 1.59/0.69 thf(func_def_120, type, plus: $i > $i). 1.59/0.69 thf(func_def_121, type, n_pl: $i > $i > $i). 1.59/0.69 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 1.59/0.69 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 1.59/0.69 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 1.59/0.69 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 1.59/0.69 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 1.59/0.69 thf(func_def_127, type, d_29_ii: $i > $i > $o). 1.59/0.69 thf(func_def_128, type, iii: $i > $i > $o). 1.59/0.69 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 1.59/0.69 thf(func_def_130, type, moreis: $i > $i > $o). 1.59/0.69 thf(func_def_131, type, lessis: $i > $i > $o). 1.59/0.69 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 1.59/0.69 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 1.59/0.69 thf(func_def_134, type, min: ($i > $o) > $i > $o). 1.59/0.69 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 1.59/0.69 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 1.59/0.69 thf(func_def_137, type, d_428_prop4: $i > $o). 1.59/0.69 thf(func_def_139, type, d_428_g: $i > $i). 1.59/0.69 thf(func_def_140, type, times: $i > $i). 1.59/0.69 thf(func_def_141, type, n_ts: $i > $i > $i). 1.59/0.69 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 1.59/0.69 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 1.59/0.69 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 1.59/0.69 thf(func_def_145, type, n_mn: $i > $i > $i). 1.59/0.69 thf(func_def_146, type, d_1to: $i > $i). 1.59/0.69 thf(func_def_147, type, outn: $i > $i > $i). 1.59/0.69 thf(func_def_148, type, inn: $i > $i > $i). 1.59/0.69 thf(func_def_150, type, singlet_u0: $i > $i). 1.59/0.69 thf(func_def_154, type, pair_u0: $i > $i). 1.59/0.69 thf(func_def_155, type, pair1type: $i > $i). 1.59/0.69 thf(func_def_156, type, pair1: $i > $i > $i > $i). 1.59/0.69 thf(func_def_157, type, first1: $i > $i > $i). 1.59/0.69 thf(func_def_158, type, second1: $i > $i > $i). 1.59/0.69 thf(func_def_159, type, pair_q0: $i > $i > $i). 1.59/0.69 thf(func_def_160, type, d_1out: $i > $i). 1.59/0.69 thf(func_def_161, type, xout: $i > $i). 1.59/0.69 thf(func_def_162, type, left1to: $i > $i > $i > $i). 1.59/0.69 thf(func_def_163, type, right1to: $i > $i > $i > $i). 1.59/0.69 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 1.59/0.69 thf(func_def_169, type, n_fr: $i > $i > $i). 1.59/0.69 thf(func_def_170, type, num: $i > $i). 1.59/0.69 thf(func_def_171, type, den: $i > $i). 1.59/0.69 thf(func_def_172, type, n_eq: $i > $i > $o). 1.59/0.69 thf(func_def_173, type, moref: $i > $i > $o). 1.59/0.69 thf(func_def_174, type, lessf: $i > $i > $o). 1.59/0.69 thf(func_def_195, type, sK1: $i > $i > $i > $i). 1.59/0.69 thf(func_def_196, type, sK2: ($i > $i) > $i > ($i > $i) > $i). 1.59/0.69 thf(f2014,plain,( 1.59/0.69 $false), 1.59/0.69 inference(trivial_inequality_removal,[],[f2013])). 1.59/0.69 thf(f2013,plain,( 1.59/0.69 ($true = $false)), 1.59/0.69 inference(beta_eta_normalization,[],[f2012])). 1.59/0.69 thf(f2012,plain,( 1.59/0.69 (((^[Y0 : $i]: ($true)) @ sK4) = $false)), 1.59/0.69 inference(sigma_clausification,[],[f2010])). 1.59/0.69 thf(f2010,plain,( 1.59/0.69 ((!! @ $i @ (^[Y0 : $i]: ($true))) = $false)), 1.59/0.69 inference(binary_proxy_clausification,[],[f2009])). 1.59/0.69 thf(f2009,plain,( 1.59/0.69 (((in @ sK3 @ (d_Pi @ (d_Sep @ nat @ (^[Y0 : $i]: ((d_not @ (l_some @ nat @ (^[Y1 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y0 @ Y1))))) => (Y0 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y0 : $i]: (nat)))) => (!! @ $i @ (^[Y0 : $i]: ($true)))) = $false)), 1.59/0.69 inference(beta_eta_normalization,[],[f2008])). 1.59/0.69 thf(f2008,plain,( 1.59/0.69 ($false = ((^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true))))) @ sK3))), 1.59/0.69 inference(sigma_clausification,[],[f2007])). 1.59/0.69 thf(f2007,plain,( 1.59/0.69 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true)))))) = $false)), 1.59/0.69 inference(not_proxy_clausification,[],[f1488])). 1.59/0.69 thf(f1488,plain,( 1.59/0.69 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ($true))))))) = $true)), 1.59/0.69 inference(boolean_simplification,[],[f1487])). 1.59/0.69 thf(f1487,plain,( 1.59/0.69 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (d_Pi @ (d_Sep @ nat @ (^[Y2 : $i]: ((d_not @ (l_some @ nat @ (^[Y3 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y2 @ Y3))))) => (Y2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y2 : $i]: (nat)))) => $true))))))))), 1.59/0.69 inference(boolean_simplification,[],[f1486])). 1.59/0.69 thf(f1486,plain,( 1.59/0.69 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (d_Pi @ (d_Sep @ nat @ (^[Y1 : $i]: ((d_not @ (l_some @ nat @ (^[Y2 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y1 @ Y2))))) => (Y1 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y1 : $i]: (nat)))) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (d_Pi @ (d_Sep @ nat @ (^[Y2 : $i]: ((d_not @ (l_some @ nat @ (^[Y3 : $i]: ((n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) = (n_pl @ Y2 @ Y3))))) => (Y2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))))) @ (^[Y2 : $i]: (nat)))) => ((l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) = (n_pl @ (n_ts @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) @ Y2)))) => (l_some @ nat @ (^[Y2 : $i]: ((n_ts @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) = (n_pl @ (n_ts @ (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset))) @ (ap @ Y0 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))) @ Y2)))))))))))) = $true)), 1.59/0.69 inference(beta_eta_normalization,[],[f1300])). 1.59/0.69 thf(f1300,plain,( 1.59/0.69 ($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]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $o]: ((^[Y7 : $o]: ((^[Y8 : $o]: (Y7 => Y8)))) @ (d_not @ Y6))) @ ((^[Y6 : $i]: ((^[Y7 : $i]: (l_some @ nat @ ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: (Y12 = Y13)))))) @ nat @ Y8 @ (n_pl @ Y9 @ Y10))))))) @ Y7 @ Y6))))) @ Y4 @ Y5) @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (Y7 = Y8)))))) @ nat @ Y4 @ Y5))))) @ Y3 @ Y2)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[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 @ ((^[Y2 : $i]: (d_Pi @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $o]: ((^[Y9 : $o]: (Y8 => Y9)))) @ (d_not @ Y7))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: (l_some @ nat @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: (Y13 = Y14)))))) @ nat @ Y9 @ (n_pl @ Y10 @ Y11))))))) @ Y8 @ Y7))))) @ Y5 @ Y6) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y5 @ Y6))))) @ Y4 @ Y3)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y3 : $i]: (Y2)))) @ nat))) @ (^[Y1 : $i]: (((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y4 @ Y5))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y2)))))) @ Y0 @ Y1) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y2) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y3)) @ (n_ts @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (ap @ Y5 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y2)))))) @ Y1 @ Y0))))))))), 1.59/0.69 inference(definition_unfolding,[],[f1058,f1191,f1218,f1191,f1218,f1223,f1224])). 1.59/0.69 thf(f1224,plain,( 1.59/0.69 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y0)))))))), 1.59/0.69 inference(definition_unfolding,[],[f1109,f1190,f1220,f1221,f1220,f1221])). 1.59/0.69 thf(f1221,plain,( 1.59/0.69 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat))), 1.59/0.69 inference(definition_unfolding,[],[f1026,f1208])). 1.59/0.69 thf(f1208,plain,( 1.59/0.69 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))))), 1.59/0.69 inference(definition_unfolding,[],[f1025,f1201])). 1.59/0.69 thf(f1201,plain,( 1.59/0.69 (n_2t = (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))), 1.59/0.69 inference(definition_unfolding,[],[f983,f1199,f1199])). 1.59/0.69 thf(f1199,plain,( 1.59/0.69 (n_2 = (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)))), 1.59/0.69 inference(definition_unfolding,[],[f1075,f1031,f1031])). 1.59/0.69 thf(f1031,plain,( 1.59/0.69 ((ordsucc @ emptyset) = n_1)), 1.59/0.69 inference(cnf_transformation,[],[f833])). 1.59/0.69 thf(f833,plain,( 1.59/0.69 ((ordsucc @ emptyset) = n_1)), 1.59/0.69 inference(fool_elimination,[],[f102])). 1.59/0.69 thf(f102,axiom,( 1.59/0.69 ((ordsucc @ emptyset) = n_1)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_1)). 1.59/0.69 thf(f1075,plain,( 1.59/0.69 (n_2 = (n_pl @ n_1 @ n_1))), 1.59/0.69 inference(cnf_transformation,[],[f810])). 1.59/0.69 thf(f810,plain,( 1.59/0.69 (n_2 = (n_pl @ n_1 @ n_1))), 1.59/0.69 inference(fool_elimination,[],[f210])). 1.59/0.69 thf(f210,axiom,( 1.59/0.69 (n_2 = (n_pl @ n_1 @ n_1))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_2)). 1.59/0.69 thf(f983,plain,( 1.59/0.69 (n_2t = (outn @ n_2 @ n_2))), 1.59/0.69 inference(cnf_transformation,[],[f740])). 1.59/0.69 thf(f740,plain,( 1.59/0.69 (n_2t = (outn @ n_2 @ n_2))), 1.59/0.69 inference(fool_elimination,[],[f212])). 1.59/0.69 thf(f212,axiom,( 1.59/0.69 (n_2t = (outn @ n_2 @ n_2))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_2t)). 1.59/0.69 thf(f1025,plain,( 1.59/0.69 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 1.59/0.69 inference(cnf_transformation,[],[f467])). 1.59/0.69 thf(f467,plain,( 1.59/0.69 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 1.59/0.69 inference(fool_elimination,[],[f217])). 1.59/0.69 thf(f217,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)) = second1)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_second1)). 1.59/0.69 thf(f1026,plain,( 1.59/0.69 (den = (second1 @ nat))), 1.59/0.69 inference(cnf_transformation,[],[f399])). 1.59/0.69 thf(f399,plain,( 1.59/0.69 (den = (second1 @ nat))), 1.59/0.69 inference(fool_elimination,[],[f230])). 1.59/0.69 thf(f230,axiom,( 1.59/0.69 (den = (second1 @ nat))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_den)). 1.59/0.69 thf(f1220,plain,( 1.59/0.69 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat))), 1.59/0.69 inference(definition_unfolding,[],[f1142,f1209])). 1.59/0.69 thf(f1209,plain,( 1.59/0.69 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))))), 1.59/0.69 inference(definition_unfolding,[],[f1163,f1200])). 1.59/0.69 thf(f1200,plain,( 1.59/0.69 (n_1t = (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))), 1.59/0.69 inference(definition_unfolding,[],[f1061,f1199,f1031])). 1.59/0.69 thf(f1061,plain,( 1.59/0.69 (n_1t = (outn @ n_2 @ n_1))), 1.59/0.69 inference(cnf_transformation,[],[f899])). 1.59/0.69 thf(f899,plain,( 1.59/0.69 (n_1t = (outn @ n_2 @ n_1))), 1.59/0.69 inference(fool_elimination,[],[f211])). 1.59/0.69 thf(f211,axiom,( 1.59/0.69 (n_1t = (outn @ n_2 @ n_1))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_1t)). 1.59/0.69 thf(f1163,plain,( 1.59/0.69 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 1.59/0.69 inference(cnf_transformation,[],[f827])). 1.59/0.69 thf(f827,plain,( 1.59/0.69 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 1.59/0.69 inference(fool_elimination,[],[f216])). 1.59/0.69 thf(f216,axiom,( 1.59/0.69 (first1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_first1)). 1.59/0.69 thf(f1142,plain,( 1.59/0.69 (num = (first1 @ nat))), 1.59/0.69 inference(cnf_transformation,[],[f543])). 1.59/0.69 thf(f543,plain,( 1.59/0.69 (num = (first1 @ nat))), 1.59/0.69 inference(fool_elimination,[],[f229])). 1.59/0.69 thf(f229,axiom,( 1.59/0.69 (num = (first1 @ nat))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_num)). 1.59/0.69 thf(f1190,plain,( 1.59/0.69 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y1 @ Y0))))))), 1.59/0.69 inference(definition_unfolding,[],[f1182,f1101,f1188])). 1.59/0.69 thf(f1188,plain,( 1.59/0.69 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 1.59/0.69 inference(definition_unfolding,[],[f1039,f1187])). 1.59/0.69 thf(f1187,plain,( 1.59/0.69 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 1.59/0.69 inference(definition_unfolding,[],[f969,f1009])). 1.59/0.69 thf(f1009,plain,( 1.59/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.59/0.69 inference(cnf_transformation,[],[f959])). 1.59/0.69 thf(f959,plain,( 1.59/0.69 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 1.59/0.69 inference(fool_elimination,[],[f958])). 1.59/0.69 thf(f958,plain,( 1.59/0.69 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)), 1.59/0.69 inference(rectify,[],[f49])). 1.59/0.69 thf(f49,axiom,( 1.59/0.69 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_e_is)). 1.59/0.69 thf(f969,plain,( 1.59/0.69 (n_is = (e_is @ nat))), 1.59/0.69 inference(cnf_transformation,[],[f492])). 1.59/0.69 thf(f492,plain,( 1.59/0.69 (n_is = (e_is @ nat))), 1.59/0.69 inference(fool_elimination,[],[f96])). 1.59/0.69 thf(f96,axiom,( 1.59/0.69 (n_is = (e_is @ nat))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_is)). 1.59/0.69 thf(f1039,plain,( 1.59/0.69 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 1.59/0.69 inference(cnf_transformation,[],[f898])). 1.59/0.69 thf(f898,plain,( 1.59/0.69 (diffprop = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (n_is @ Y0 @ (n_pl @ Y1 @ Y2))))))))), 1.59/0.69 inference(fool_elimination,[],[f185])). 1.59/0.69 thf(f185,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i, X2 : $i] : (n_is @ X0 @ (n_pl @ X1 @ X2))) = diffprop)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_diffprop)). 1.59/0.69 thf(f1101,plain,( 1.59/0.69 (n_some = (l_some @ nat))), 1.59/0.69 inference(cnf_transformation,[],[f449])). 1.59/0.69 thf(f449,plain,( 1.59/0.69 (n_some = (l_some @ nat))), 1.59/0.69 inference(fool_elimination,[],[f99])). 1.59/0.69 thf(f99,axiom,( 1.59/0.69 (n_some = (l_some @ nat))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_n_some)). 1.59/0.69 thf(f1182,plain,( 1.59/0.69 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))), 1.59/0.69 inference(cnf_transformation,[],[f640])). 1.59/0.69 thf(f640,plain,( 1.59/0.69 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))), 1.59/0.69 inference(fool_elimination,[],[f187])). 1.59/0.69 thf(f187,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_iii)). 1.59/0.69 thf(f1109,plain,( 1.59/0.69 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 1.59/0.69 inference(cnf_transformation,[],[f776])). 1.59/0.69 thf(f776,plain,( 1.59/0.69 (lessf = (^[Y0 : $i]: ((^[Y1 : $i]: (iii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 1.59/0.69 inference(fool_elimination,[],[f233])). 1.59/0.69 thf(f233,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i] : (iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = lessf)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_lessf)). 1.59/0.69 thf(f1223,plain,( 1.59/0.69 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y2 @ Y3))))) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (ordsucc @ emptyset)))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset)) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))))))) @ nat @ Y0)))))))), 1.59/0.69 inference(definition_unfolding,[],[f1037,f1189,f1220,f1221,f1220,f1221])). 1.59/0.69 thf(f1189,plain,( 1.59/0.69 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (l_some @ nat @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y2 @ (n_pl @ Y3 @ Y4))))))) @ Y0 @ Y1))))))), 1.59/0.69 inference(definition_unfolding,[],[f982,f1101,f1188])). 1.59/0.69 thf(f982,plain,( 1.59/0.69 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 1.59/0.69 inference(cnf_transformation,[],[f714])). 1.59/0.69 thf(f714,plain,( 1.59/0.69 (d_29_ii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y0 @ Y1))))))), 1.59/0.69 inference(fool_elimination,[],[f186])). 1.59/0.69 thf(f186,axiom,( 1.59/0.69 (d_29_ii = (^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X0 @ X1))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_d_29_ii)). 1.59/0.69 thf(f1037,plain,( 1.59/0.69 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 1.59/0.69 inference(cnf_transformation,[],[f917])). 1.59/0.69 thf(f917,plain,( 1.59/0.69 (moref = (^[Y0 : $i]: ((^[Y1 : $i]: (d_29_ii @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 1.59/0.69 inference(fool_elimination,[],[f232])). 1.59/0.69 thf(f232,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i] : (d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))) = moref)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_moref)). 1.59/0.69 thf(f1218,plain,( 1.59/0.69 (frac = ((^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y2 @ Y1)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y1 : $i]: (Y0)))) @ nat))), 1.59/0.69 inference(definition_unfolding,[],[f1071,f1203])). 1.59/0.69 thf(f1203,plain,( 1.59/0.69 (pair1type = (^[Y0 : $i]: (d_Pi @ ((^[Y1 : $i]: (d_Sep @ nat @ (^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ (d_not @ Y5))) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (l_some @ nat @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (Y11 = Y12)))))) @ nat @ Y7 @ (n_pl @ Y8 @ Y9))))))) @ Y6 @ Y5))))) @ Y3 @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ Y3 @ Y4))))) @ Y2 @ Y1)))) @ (n_pl @ (ordsucc @ emptyset) @ (ordsucc @ emptyset))) @ (^[Y1 : $i]: (Y0)))))), 1.59/0.69 inference(definition_unfolding,[],[f1020,f1196,f1199])). 1.59/0.69 thf(f1196,plain,( 1.59/0.69 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (l_some @ nat @ ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ nat @ Y6 @ (n_pl @ Y7 @ Y8))))))) @ Y5 @ Y4))))) @ Y2 @ Y3) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y2 @ Y3))))) @ Y1 @ Y0)))))), 1.59/0.69 inference(definition_unfolding,[],[f1095,f1194])). 1.59/0.69 thf(f1194,plain,( 1.59/0.69 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ (d_not @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (l_some @ nat @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ nat @ Y4 @ (n_pl @ Y5 @ Y6))))))) @ Y3 @ Y2))))) @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ Y0 @ Y1))))))), 1.59/0.69 inference(definition_unfolding,[],[f1032,f1192,f1190,f1187])). 1.59/0.69 thf(f1192,plain,( 1.59/0.69 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ (d_not @ Y0))))), 1.59/0.69 inference(definition_unfolding,[],[f1125,f1160])). 1.59/0.69 thf(f1160,plain,( 1.59/0.69 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 1.59/0.69 inference(cnf_transformation,[],[f813])). 1.59/0.69 thf(f813,plain,( 1.59/0.69 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 1.59/0.69 inference(fool_elimination,[],[f812])). 1.59/0.69 thf(f812,plain,( 1.59/0.69 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 1.59/0.69 inference(rectify,[],[f33])). 1.59/0.69 thf(f33,axiom,( 1.59/0.69 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_imp)). 1.59/0.69 thf(f1125,plain,( 1.59/0.69 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))), 1.59/0.69 inference(cnf_transformation,[],[f727])). 1.59/0.69 thf(f727,plain,( 1.59/0.69 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))), 1.59/0.69 inference(fool_elimination,[],[f39])). 1.59/0.69 thf(f39,axiom,( 1.59/0.69 (l_or = (^[X0 : $o] : (imp @ (d_not @ X0))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_l_or)). 1.59/0.69 thf(f1032,plain,( 1.59/0.69 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.59/0.69 inference(cnf_transformation,[],[f597])). 1.59/0.69 thf(f597,plain,( 1.59/0.69 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))), 1.59/0.69 inference(fool_elimination,[],[f190])). 1.59/0.69 thf(f190,axiom,( 1.59/0.69 ((^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))) = lessis)), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_lessis)). 1.59/0.69 thf(f1095,plain,( 1.59/0.69 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 1.59/0.69 inference(cnf_transformation,[],[f908])). 1.59/0.69 thf(f908,plain,( 1.59/0.69 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 1.59/0.69 inference(fool_elimination,[],[f205])). 1.59/0.69 thf(f205,axiom,( 1.59/0.69 (d_1to = (^[X0 : $i] : (d_Sep @ nat @ (^[X1 : $i] : (lessis @ X1 @ X0)))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_d_1to)). 1.59/0.69 thf(f1020,plain,( 1.59/0.69 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 1.59/0.69 inference(cnf_transformation,[],[f702])). 1.59/0.69 thf(f702,plain,( 1.59/0.69 (pair1type = (^[Y0 : $i]: (d_Pi @ (d_1to @ n_2) @ (^[Y1 : $i]: (Y0)))))), 1.59/0.69 inference(fool_elimination,[],[f214])). 1.59/0.69 thf(f214,axiom,( 1.59/0.69 (pair1type = (^[X0 : $i] : (d_Pi @ (d_1to @ n_2) @ (^[X1 : $i] : (X0)))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_pair1type)). 1.59/0.69 thf(f1071,plain,( 1.59/0.69 (frac = (pair1type @ nat))), 1.59/0.69 inference(cnf_transformation,[],[f933])). 1.59/0.69 thf(f933,plain,( 1.59/0.69 (frac = (pair1type @ nat))), 1.59/0.69 inference(fool_elimination,[],[f227])). 1.59/0.69 thf(f227,axiom,( 1.59/0.69 (frac = (pair1type @ nat))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_frac)). 1.59/0.69 thf(f1191,plain,( 1.59/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.59/0.69 inference(definition_unfolding,[],[f987,f1140])). 1.59/0.69 thf(f1140,plain,( 1.59/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.59/0.69 inference(cnf_transformation,[],[f946])). 1.59/0.69 thf(f946,plain,( 1.59/0.69 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 1.59/0.69 inference(fool_elimination,[],[f1])). 1.59/0.69 thf(f1,axiom,( 1.59/0.69 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_is_of)). 1.59/0.69 thf(f987,plain,( 1.59/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.59/0.69 inference(cnf_transformation,[],[f441])). 1.59/0.69 thf(f441,plain,( 1.59/0.69 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 1.59/0.69 inference(fool_elimination,[],[f440])). 1.59/0.69 thf(f440,plain,( 1.59/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 1.59/0.69 inference(rectify,[],[f2])). 1.59/0.69 thf(f2,axiom,( 1.59/0.69 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',def_all_of)). 1.59/0.69 thf(f1058,plain,( 1.59/0.69 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0))))))) = $true)), 1.59/0.69 inference(cnf_transformation,[],[f557])). 1.59/0.69 thf(f557,plain,( 1.59/0.69 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ (^[Y1 : $i]: ((moref @ Y0 @ Y1) => (lessf @ Y1 @ Y0))))))) = $true)), 1.59/0.69 inference(fool_elimination,[],[f556])). 1.59/0.69 thf(f556,plain,( 1.59/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ frac)) @ (^[X3 : $i] : ((moref @ X1 @ X3) => (lessf @ X3 @ X1))))))), 1.59/0.69 inference(rectify,[],[f293])). 1.59/0.69 thf(f293,negated_conjecture,( 1.59/0.69 ~(all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))))))), 1.59/0.69 inference(negated_conjecture,[],[f292])). 1.59/0.69 thf(f292,conjecture,( 1.59/0.69 (all_of @ (^[X0 : $i] : (in @ X0 @ frac)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ frac)) @ (^[X1 : $i] : ((moref @ X0 @ X1) => (lessf @ X1 @ X0))))))), 1.59/0.69 file('/export/starexec/sandbox2/tmp/tmp.mNqlMDGWh6/E---3.1_27610.p',satz42)). 1.59/0.69 % SZS output end Proof for E---3.1_27610 1.59/0.69 % (27744)------------------------------ 1.59/0.69 % (27744)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.59/0.69 % (27744)Termination reason: Refutation 1.59/0.69 1.59/0.69 % (27744)Memory used [KB]: 8443 1.59/0.69 % (27744)Time elapsed: 0.125 s 1.59/0.69 % (27744)Instructions burned: 407 (million) 1.59/0.69 % (27744)------------------------------ 1.59/0.69 % (27744)------------------------------ 1.59/0.69 % (27716)Success in time 0.273 s 1.59/0.69 EOF