0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : run_vampire %s %d THM 0.09/0.30 % Computer : n005.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 1920 0.09/0.30 % WCLimit : 240 0.09/0.30 % DateTime : Wed Jul 30 08:54:34 EDT 2025 0.09/0.30 % CPUTime : 0.16/0.32 This is a THF_ problem 0.16/0.32 Running higher-order theorem proving 0.16/0.35 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p -m 16384 -t 240 0.20/0.38 % (21124)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/2Mi) 0.20/0.38 % (21123)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_21008 for (2399ds/27Mi) 0.20/0.38 % (21122)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_21008 for (2399ds/4Mi) 0.20/0.38 % (21127)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/18Mi) 0.20/0.38 % (21125)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_21008 for (2399ds/2Mi) 0.20/0.38 % (21121)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/183Mi) 0.20/0.38 % (21126)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_21008 for (2399ds/275Mi) 0.20/0.38 % (21124)Instruction limit reached! 0.20/0.38 % (21124)------------------------------ 0.20/0.38 % (21124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (21124)Termination reason: Unknown 0.20/0.38 % (21124)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (21124)Memory used [KB]: 1407 0.20/0.38 % (21125)Instruction limit reached! 0.20/0.38 % (21125)------------------------------ 0.20/0.38 % (21125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (21125)Termination reason: Unknown 0.20/0.38 % (21125)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (21125)Memory used [KB]: 1407 0.20/0.38 % (21125)Time elapsed: 0.003 s 0.20/0.38 % (21125)Instructions burned: 3 (million) 0.20/0.38 % (21125)------------------------------ 0.20/0.38 % (21125)------------------------------ 0.20/0.38 % (21124)Time elapsed: 0.004 s 0.20/0.38 % (21124)Instructions burned: 4 (million) 0.20/0.38 % (21124)------------------------------ 0.20/0.38 % (21124)------------------------------ 0.20/0.38 % (21122)Instruction limit reached! 0.20/0.38 % (21122)------------------------------ 0.20/0.38 % (21122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.38 % (21122)Termination reason: Unknown 0.20/0.38 % (21122)Termination phase: shuffling 0.20/0.38 0.20/0.38 % (21122)Memory used [KB]: 1407 0.20/0.38 % (21122)Time elapsed: 0.004 s 0.20/0.38 % (21122)Instructions burned: 6 (million) 0.20/0.38 % (21122)------------------------------ 0.20/0.38 % (21122)------------------------------ 0.20/0.39 % (21127)Instruction limit reached! 0.20/0.39 % (21127)------------------------------ 0.20/0.39 % (21127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (21127)Termination reason: Unknown 0.20/0.39 % (21127)Termination phase: shuffling 0.20/0.39 0.20/0.39 % (21127)Memory used [KB]: 1663 0.20/0.39 % (21127)Time elapsed: 0.011 s 0.20/0.39 % (21127)Instructions burned: 20 (million) 0.20/0.39 % (21127)------------------------------ 0.20/0.39 % (21127)------------------------------ 0.20/0.39 % (21123)Instruction limit reached! 0.20/0.39 % (21123)------------------------------ 0.20/0.39 % (21123)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.39 % (21123)Termination reason: Unknown 0.20/0.39 % (21123)Termination phase: Property scanning 0.20/0.39 0.20/0.39 % (21123)Memory used [KB]: 1663 0.20/0.39 % (21123)Time elapsed: 0.014 s 0.20/0.39 % (21123)Instructions burned: 27 (million) 0.20/0.39 % (21123)------------------------------ 0.20/0.39 % (21123)------------------------------ 0.20/0.40 % (21128)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_21008 for (2399ds/3Mi) 0.20/0.40 % (21129)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_21008 for (2399ds/37Mi) 0.20/0.40 % (21130)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_21008 for (2399ds/15Mi) 0.20/0.40 % (21128)Instruction limit reached! 0.20/0.40 % (21128)------------------------------ 0.20/0.40 % (21128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (21128)Termination reason: Unknown 0.20/0.40 % (21128)Termination phase: shuffling 0.20/0.40 0.20/0.40 % (21128)Memory used [KB]: 1407 0.20/0.40 % (21128)Time elapsed: 0.004 s 0.20/0.40 % (21128)Instructions burned: 4 (million) 0.20/0.40 % (21128)------------------------------ 0.20/0.40 % (21128)------------------------------ 0.20/0.40 % (21126)Refutation not found, incomplete strategy 0.20/0.40 % (21126)------------------------------ 0.20/0.40 % (21126)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (21126)Termination reason: Refutation not found, incomplete strategy 0.20/0.40 0.20/0.40 0.20/0.40 % (21126)Memory used [KB]: 6268 0.20/0.40 % (21126)Time elapsed: 0.023 s 0.20/0.40 % (21126)Instructions burned: 47 (million) 0.20/0.40 % (21126)------------------------------ 0.20/0.40 % (21126)------------------------------ 0.20/0.40 % (21130)Instruction limit reached! 0.20/0.40 % (21130)------------------------------ 0.20/0.40 % (21130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.40 % (21130)Termination reason: Unknown 0.20/0.40 % (21130)Termination phase: shuffling 0.20/0.40 0.20/0.40 % (21130)Memory used [KB]: 1535 0.20/0.40 % (21130)Time elapsed: 0.009 s 0.20/0.40 % (21130)Instructions burned: 15 (million) 0.20/0.40 % (21130)------------------------------ 0.20/0.40 % (21130)------------------------------ 0.20/0.41 % (21131)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_21008 for (2399ds/3Mi) 0.20/0.41 % (21132)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_21008 for (2399ds/1041Mi) 0.20/0.41 % (21131)Instruction limit reached! 0.20/0.41 % (21131)------------------------------ 0.20/0.41 % (21131)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.41 % (21131)Termination reason: Unknown 0.20/0.41 % (21131)Termination phase: shuffling 0.20/0.41 0.20/0.41 % (21131)Memory used [KB]: 1407 0.20/0.41 % (21131)Time elapsed: 0.004 s 0.20/0.41 % (21131)Instructions burned: 4 (million) 0.20/0.41 % (21131)------------------------------ 0.20/0.41 % (21131)------------------------------ 0.20/0.41 % (21133)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/7Mi) 0.20/0.41 % (21129)Instruction limit reached! 0.20/0.41 % (21129)------------------------------ 0.20/0.41 % (21129)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.41 % (21129)Termination reason: Unknown 0.20/0.41 % (21129)Termination phase: Property scanning 0.20/0.41 0.20/0.41 % (21129)Memory used [KB]: 1918 0.20/0.41 % (21129)Time elapsed: 0.018 s 0.20/0.41 % (21129)Instructions burned: 38 (million) 0.20/0.41 % (21129)------------------------------ 0.20/0.41 % (21129)------------------------------ 0.20/0.42 % (21133)Instruction limit reached! 0.20/0.42 % (21133)------------------------------ 0.20/0.42 % (21133)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (21133)Termination reason: Unknown 0.20/0.42 % (21133)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (21133)Memory used [KB]: 1407 0.20/0.42 % (21133)Time elapsed: 0.006 s 0.20/0.42 % (21133)Instructions burned: 8 (million) 0.20/0.42 % (21133)------------------------------ 0.20/0.42 % (21133)------------------------------ 0.20/0.42 % (21136)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_21008 for (2399ds/3Mi) 0.20/0.42 % (21135)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/16Mi) 0.20/0.42 % (21136)Instruction limit reached! 0.20/0.42 % (21136)------------------------------ 0.20/0.42 % (21136)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (21136)Termination reason: Unknown 0.20/0.42 % (21136)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (21136)Memory used [KB]: 1407 0.20/0.42 % (21136)Time elapsed: 0.004 s 0.20/0.42 % (21136)Instructions burned: 4 (million) 0.20/0.42 % (21136)------------------------------ 0.20/0.42 % (21136)------------------------------ 0.20/0.42 % (21137)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_21008 for (2399ds/3Mi) 0.20/0.42 % (21137)Instruction limit reached! 0.20/0.42 % (21137)------------------------------ 0.20/0.42 % (21137)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.42 % (21137)Termination reason: Unknown 0.20/0.42 % (21137)Termination phase: shuffling 0.20/0.42 0.20/0.42 % (21137)Memory used [KB]: 1407 0.20/0.42 % (21137)Time elapsed: 0.004 s 0.20/0.42 % (21137)Instructions burned: 3 (million) 0.20/0.42 % (21137)------------------------------ 0.20/0.42 % (21137)------------------------------ 0.20/0.43 % (21135)Instruction limit reached! 0.20/0.43 % (21135)------------------------------ 0.20/0.43 % (21135)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (21135)Termination reason: Unknown 0.20/0.43 % (21135)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (21135)Memory used [KB]: 1535 0.20/0.43 % (21135)Time elapsed: 0.009 s 0.20/0.43 % (21135)Instructions burned: 16 (million) 0.20/0.43 % (21135)------------------------------ 0.20/0.43 % (21135)------------------------------ 0.20/0.43 % (21138)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_21008 for (2399ds/7Mi) 0.20/0.43 % (21139)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_21008 for (2399ds/3Mi) 0.20/0.43 % (21139)Instruction limit reached! 0.20/0.43 % (21139)------------------------------ 0.20/0.43 % (21139)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (21139)Termination reason: Unknown 0.20/0.43 % (21139)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (21139)Memory used [KB]: 1407 0.20/0.43 % (21139)Time elapsed: 0.003 s 0.20/0.43 % (21139)Instructions burned: 3 (million) 0.20/0.43 % (21139)------------------------------ 0.20/0.43 % (21139)------------------------------ 0.20/0.43 % (21138)Instruction limit reached! 0.20/0.43 % (21138)------------------------------ 0.20/0.43 % (21138)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (21138)Termination reason: Unknown 0.20/0.43 % (21138)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (21138)Memory used [KB]: 1407 0.20/0.43 % (21138)Time elapsed: 0.005 s 0.20/0.43 % (21138)Instructions burned: 7 (million) 0.20/0.43 % (21138)------------------------------ 0.20/0.43 % (21138)------------------------------ 0.20/0.43 % (21141)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/4Mi) 0.20/0.43 % (21141)Instruction limit reached! 0.20/0.43 % (21141)------------------------------ 0.20/0.43 % (21141)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.43 % (21141)Termination reason: Unknown 0.20/0.43 % (21141)Termination phase: shuffling 0.20/0.43 0.20/0.43 % (21141)Memory used [KB]: 1407 0.20/0.43 % (21141)Time elapsed: 0.005 s 0.20/0.43 % (21141)Instructions burned: 6 (million) 0.20/0.43 % (21141)------------------------------ 0.20/0.43 % (21141)------------------------------ 0.20/0.44 % (21142)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_21008 for (2399ds/18Mi) 0.20/0.44 % (21143)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/710Mi) 0.20/0.44 % (21144)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/6Mi) 0.20/0.44 % (21121)Instruction limit reached! 0.20/0.44 % (21121)------------------------------ 0.20/0.44 % (21121)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.44 % (21121)Termination reason: Unknown 0.20/0.44 % (21121)Termination phase: Function definition elimination 0.20/0.44 % (21145)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_21008 for (2399ds/902Mi) 0.20/0.44 0.20/0.44 % (21121)Memory used [KB]: 2046 0.20/0.44 % (21121)Time elapsed: 0.064 s 0.20/0.44 % (21121)Instructions burned: 184 (million) 0.20/0.44 % (21121)------------------------------ 0.20/0.44 % (21121)------------------------------ 0.20/0.45 % (21142)Instruction limit reached! 0.20/0.45 % (21142)------------------------------ 0.20/0.45 % (21142)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.45 % (21142)Termination reason: Unknown 0.20/0.45 % (21142)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (21142)Memory used [KB]: 1663 0.20/0.45 % (21142)Time elapsed: 0.011 s 0.20/0.45 % (21142)Instructions burned: 19 (million) 0.20/0.45 % (21142)------------------------------ 0.20/0.45 % (21142)------------------------------ 0.20/0.45 % (21144)Instruction limit reached! 0.20/0.45 % (21144)------------------------------ 0.20/0.45 % (21144)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.45 % (21144)Termination reason: Unknown 0.20/0.45 % (21144)Termination phase: shuffling 0.20/0.45 0.20/0.45 % (21144)Memory used [KB]: 1407 0.20/0.45 % (21144)Time elapsed: 0.006 s 0.20/0.45 % (21144)Instructions burned: 8 (million) 0.20/0.45 % (21144)------------------------------ 0.20/0.45 % (21144)------------------------------ 0.20/0.45 % (21146)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_21008 for (2399ds/21Mi) 0.20/0.46 % (21146)Instruction limit reached! 0.20/0.46 % (21146)------------------------------ 0.20/0.46 % (21146)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (21146)Termination reason: Unknown 0.20/0.46 % (21146)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (21146)Memory used [KB]: 1663 0.20/0.46 % (21146)Time elapsed: 0.012 s 0.20/0.46 % (21146)Instructions burned: 21 (million) 0.20/0.46 % (21146)------------------------------ 0.20/0.46 % (21146)------------------------------ 0.20/0.46 % (21148)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_21008 for (2399ds/6Mi) 0.20/0.46 % (21147)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/5Mi) 0.20/0.46 % (21149)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_21008 for (2399ds/377Mi) 0.20/0.46 % (21147)Instruction limit reached! 0.20/0.46 % (21147)------------------------------ 0.20/0.46 % (21147)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (21147)Termination reason: Unknown 0.20/0.46 % (21147)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (21147)Memory used [KB]: 1407 0.20/0.46 % (21147)Time elapsed: 0.005 s 0.20/0.46 % (21147)Instructions burned: 6 (million) 0.20/0.46 % (21147)------------------------------ 0.20/0.46 % (21147)------------------------------ 0.20/0.46 % (21148)Instruction limit reached! 0.20/0.46 % (21148)------------------------------ 0.20/0.46 % (21148)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (21148)Termination reason: Unknown 0.20/0.46 % (21148)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (21148)Memory used [KB]: 1407 0.20/0.46 % (21148)Time elapsed: 0.006 s 0.20/0.46 % (21148)Instructions burned: 7 (million) 0.20/0.46 % (21148)------------------------------ 0.20/0.46 % (21148)------------------------------ 0.20/0.47 % (21150)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_21008 for (2399ds/779Mi) 0.20/0.48 % (21151)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_21008 for (2399ds/19Mi) 0.20/0.48 % (21152)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_21008 for (2399ds/879Mi) 0.20/0.48 % (21145)Refutation not found, incomplete strategy 0.20/0.48 % (21145)------------------------------ 0.20/0.48 % (21145)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.48 % (21145)Termination reason: Refutation not found, incomplete strategy 0.20/0.48 0.20/0.48 0.20/0.48 % (21145)Memory used [KB]: 6652 0.20/0.48 % (21145)Time elapsed: 0.040 s 0.20/0.48 % (21145)Instructions burned: 89 (million) 0.20/0.48 % (21145)------------------------------ 0.20/0.48 % (21145)------------------------------ 0.20/0.49 % (21151)Instruction limit reached! 0.20/0.49 % (21151)------------------------------ 0.20/0.49 % (21151)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.49 % (21151)Termination reason: Unknown 0.20/0.49 % (21151)Termination phase: shuffling 0.20/0.49 0.20/0.49 % (21151)Memory used [KB]: 1663 0.20/0.49 % (21151)Time elapsed: 0.011 s 0.20/0.49 % (21151)Instructions burned: 19 (million) 0.20/0.49 % (21151)------------------------------ 0.20/0.49 % (21151)------------------------------ 0.20/0.50 % (21153)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_21008 for (2398ds/17Mi) 0.20/0.50 % (21154)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_21008 for (2398ds/3Mi) 0.20/0.50 % (21154)Instruction limit reached! 0.20/0.50 % (21154)------------------------------ 0.20/0.50 % (21154)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.50 % (21154)Termination reason: Unknown 0.20/0.50 % (21154)Termination phase: shuffling 0.20/0.50 0.20/0.50 % (21154)Memory used [KB]: 1407 0.20/0.50 % (21154)Time elapsed: 0.004 s 0.20/0.50 % (21154)Instructions burned: 4 (million) 0.20/0.50 % (21154)------------------------------ 0.20/0.50 % (21154)------------------------------ 0.20/0.50 % (21153)Instruction limit reached! 0.20/0.50 % (21153)------------------------------ 0.20/0.50 % (21153)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.50 % (21153)Termination reason: Unknown 0.20/0.50 % (21153)Termination phase: shuffling 0.20/0.50 0.20/0.50 % (21153)Memory used [KB]: 1663 0.20/0.50 % (21153)Time elapsed: 0.010 s 0.20/0.50 % (21153)Instructions burned: 17 (million) 0.20/0.50 % (21153)------------------------------ 0.20/0.50 % (21153)------------------------------ 0.20/0.52 % (21156)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_21008 for (2398ds/127Mi) 0.20/0.52 % (21155)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_21008 for (2398ds/30Mi) 0.20/0.53 % (21152)Refutation not found, incomplete strategy 0.20/0.53 % (21152)------------------------------ 0.20/0.53 % (21152)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.53 % (21152)Termination reason: Refutation not found, incomplete strategy 0.20/0.53 0.20/0.53 0.20/0.53 % (21152)Memory used [KB]: 6524 0.20/0.53 % (21152)Time elapsed: 0.050 s 0.20/0.53 % (21152)Instructions burned: 104 (million) 0.20/0.53 % (21152)------------------------------ 0.20/0.53 % (21152)------------------------------ 0.20/0.53 % (21155)Instruction limit reached! 0.20/0.53 % (21155)------------------------------ 0.20/0.53 % (21155)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.53 % (21155)Termination reason: Unknown 0.20/0.53 % (21155)Termination phase: Property scanning 0.20/0.53 0.20/0.53 % (21155)Memory used [KB]: 1663 0.20/0.53 % (21155)Time elapsed: 0.017 s 0.20/0.53 % (21155)Instructions burned: 32 (million) 0.20/0.53 % (21155)------------------------------ 0.20/0.53 % (21155)------------------------------ 1.32/0.54 % (21157)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_21008 for (2398ds/100Mi) 1.32/0.55 % (21158)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_21008 for (2398ds/3Mi) 1.32/0.55 % (21158)Instruction limit reached! 1.32/0.55 % (21158)------------------------------ 1.32/0.55 % (21158)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.32/0.55 % (21158)Termination reason: Unknown 1.32/0.55 % (21158)Termination phase: shuffling 1.32/0.55 1.32/0.55 % (21158)Memory used [KB]: 1407 1.32/0.55 % (21158)Time elapsed: 0.004 s 1.32/0.55 % (21158)Instructions burned: 4 (million) 1.32/0.55 % (21158)------------------------------ 1.32/0.55 % (21158)------------------------------ 1.42/0.56 % (21156)Instruction limit reached! 1.42/0.56 % (21156)------------------------------ 1.42/0.56 % (21156)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.56 % (21156)Termination reason: Unknown 1.42/0.56 % (21156)Termination phase: Function definition elimination 1.42/0.56 1.42/0.56 % (21156)Memory used [KB]: 2046 1.42/0.56 % (21156)Time elapsed: 0.045 s 1.42/0.56 % (21156)Instructions burned: 128 (million) 1.42/0.56 % (21156)------------------------------ 1.42/0.56 % (21156)------------------------------ 1.42/0.56 % (21161)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_21008 for (2398ds/20Mi) 1.42/0.57 % (21161)Instruction limit reached! 1.42/0.57 % (21161)------------------------------ 1.42/0.57 % (21161)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.57 % (21161)Termination reason: Unknown 1.42/0.57 % (21161)Termination phase: shuffling 1.42/0.57 1.42/0.57 % (21161)Memory used [KB]: 1663 1.42/0.57 % (21161)Time elapsed: 0.011 s 1.42/0.57 % (21161)Instructions burned: 20 (million) 1.42/0.57 % (21161)------------------------------ 1.42/0.57 % (21161)------------------------------ 1.42/0.58 % (21162)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_21008 for (2398ds/86Mi) 1.42/0.58 % (21149)Instruction limit reached! 1.42/0.58 % (21149)------------------------------ 1.42/0.58 % (21149)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.58 % (21149)Termination reason: Unknown 1.42/0.58 % (21149)Termination phase: Function definition elimination 1.42/0.58 1.42/0.58 % (21149)Memory used [KB]: 2046 1.42/0.58 % (21149)Time elapsed: 0.119 s 1.42/0.58 % (21149)Instructions burned: 378 (million) 1.42/0.58 % (21149)------------------------------ 1.42/0.58 % (21149)------------------------------ 1.42/0.58 % (21157)Instruction limit reached! 1.42/0.58 % (21157)------------------------------ 1.42/0.58 % (21157)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.58 % (21157)Termination reason: Unknown 1.42/0.58 % (21157)Termination phase: Function definition elimination 1.42/0.58 1.42/0.58 % (21157)Memory used [KB]: 2046 1.42/0.58 % (21157)Time elapsed: 0.041 s 1.42/0.58 % (21157)Instructions burned: 103 (million) 1.42/0.58 % (21157)------------------------------ 1.42/0.58 % (21157)------------------------------ 1.42/0.59 % (21163)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_21008 for (2397ds/107Mi) 1.42/0.59 % (21164)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_21008 for (2397ds/39Mi) 1.42/0.60 % (21165)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_21008 for (2397ds/448Mi) 1.42/0.61 % (21164)Instruction limit reached! 1.42/0.61 % (21164)------------------------------ 1.42/0.61 % (21164)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.61 % (21164)Termination reason: Unknown 1.42/0.61 % (21164)Termination phase: Property scanning 1.42/0.61 1.42/0.61 % (21164)Memory used [KB]: 1918 1.42/0.61 % (21164)Time elapsed: 0.020 s 1.42/0.61 % (21164)Instructions burned: 40 (million) 1.42/0.61 % (21164)------------------------------ 1.42/0.61 % (21164)------------------------------ 1.42/0.61 % (21162)Instruction limit reached! 1.42/0.61 % (21162)------------------------------ 1.42/0.61 % (21162)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.42/0.61 % (21162)Termination reason: Unknown 1.42/0.61 % (21162)Termination phase: Function definition elimination 1.42/0.61 1.42/0.61 % (21162)Memory used [KB]: 2046 1.42/0.61 % (21162)Time elapsed: 0.037 s 1.42/0.61 % (21162)Instructions burned: 88 (million) 1.42/0.61 % (21162)------------------------------ 1.42/0.61 % (21162)------------------------------ 1.42/0.62 % (21166)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_21008 for (2397ds/46Mi) 1.84/0.63 % (21167)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_21008 for (2397ds/98Mi) 1.84/0.63 % (21163)Instruction limit reached! 1.84/0.63 % (21163)------------------------------ 1.84/0.63 % (21163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.84/0.63 % (21163)Termination reason: Unknown 1.84/0.63 % (21163)Termination phase: Saturation 1.84/0.63 1.84/0.63 % (21163)Memory used [KB]: 6652 1.84/0.63 % (21163)Time elapsed: 0.050 s 1.84/0.63 % (21163)Instructions burned: 107 (million) 1.84/0.63 % (21163)------------------------------ 1.84/0.63 % (21163)------------------------------ 1.84/0.64 % (21166)Instruction limit reached! 1.84/0.64 % (21166)------------------------------ 1.84/0.64 % (21166)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.84/0.64 % (21166)Termination reason: Unknown 1.84/0.64 % (21166)Termination phase: SInE selection 1.84/0.64 1.84/0.64 % (21166)Memory used [KB]: 1791 1.84/0.64 % (21166)Time elapsed: 0.022 s 1.84/0.64 % (21166)Instructions burned: 46 (million) 1.84/0.64 % (21166)------------------------------ 1.84/0.64 % (21166)------------------------------ 1.84/0.65 % (21168)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_21008 for (2397ds/507Mi) 1.84/0.66 % (21169)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_21008 for (2397ds/149Mi) 1.84/0.66 % (21167)Instruction limit reached! 1.84/0.66 % (21167)------------------------------ 1.84/0.66 % (21167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.84/0.66 % (21167)Termination reason: Unknown 1.84/0.66 % (21167)Termination phase: Function definition elimination 1.84/0.66 1.84/0.66 % (21167)Memory used [KB]: 2046 1.84/0.66 % (21167)Time elapsed: 0.040 s 1.84/0.66 % (21167)Instructions burned: 99 (million) 1.84/0.66 % (21167)------------------------------ 1.84/0.66 % (21167)------------------------------ 2.11/0.68 % (21171)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_21008 for (2396ds/39Mi) 2.11/0.70 % (21171)Instruction limit reached! 2.11/0.70 % (21171)------------------------------ 2.11/0.70 % (21171)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.70 % (21171)Termination reason: Unknown 2.11/0.70 % (21171)Termination phase: Property scanning 2.11/0.70 2.11/0.70 % (21171)Memory used [KB]: 1663 2.11/0.70 % (21171)Time elapsed: 0.020 s 2.11/0.70 % (21171)Instructions burned: 39 (million) 2.11/0.70 % (21171)------------------------------ 2.11/0.70 % (21171)------------------------------ 2.11/0.71 % (21165)First to succeed. 2.11/0.71 % (21169)Instruction limit reached! 2.11/0.71 % (21169)------------------------------ 2.11/0.71 % (21169)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.71 % (21169)Termination reason: Unknown 2.11/0.71 % (21169)Termination phase: Function definition elimination 2.11/0.71 2.11/0.71 % (21169)Memory used [KB]: 2046 2.11/0.71 % (21169)Time elapsed: 0.054 s 2.11/0.71 % (21169)Instructions burned: 150 (million) 2.11/0.71 % (21169)------------------------------ 2.11/0.71 % (21169)------------------------------ 2.11/0.71 % (21165)Refutation found. Thanks to Tanya! 2.11/0.71 % SZS status Theorem for E---3.1_21008 2.11/0.71 % SZS output start Proof for E---3.1_21008 2.11/0.71 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 2.11/0.71 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 2.11/0.71 thf(func_def_3, type, eps: ($i > $o) > $i). 2.11/0.71 thf(func_def_4, type, in: $i > $i > $o). 2.11/0.71 thf(func_def_5, type, d_Subq: $i > $i > $o). 2.11/0.71 thf(func_def_7, type, union: $i > $i). 2.11/0.71 thf(func_def_8, type, power: $i > $i). 2.11/0.71 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 2.11/0.71 thf(func_def_10, type, d_Union_closed: $i > $o). 2.11/0.71 thf(func_def_11, type, d_Power_closed: $i > $o). 2.11/0.71 thf(func_def_12, type, d_Repl_closed: $i > $o). 2.11/0.71 thf(func_def_13, type, d_ZF_closed: $i > $o). 2.11/0.71 thf(func_def_14, type, univof: $i > $i). 2.11/0.71 thf(func_def_15, type, if: $o > $i > $i > $i). 2.11/0.71 thf(func_def_16, type, nIn: $i > $i > $o). 2.11/0.71 thf(func_def_17, type, d_UPair: $i > $i > $i). 2.11/0.71 thf(func_def_18, type, d_Sing: $i > $i). 2.11/0.71 thf(func_def_19, type, binunion: $i > $i > $i). 2.11/0.71 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 2.11/0.71 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 2.11/0.71 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 2.11/0.71 thf(func_def_23, type, setminus: $i > $i > $i). 2.11/0.71 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 2.11/0.71 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 2.11/0.71 thf(func_def_26, type, ordsucc: $i > $i). 2.11/0.71 thf(func_def_27, type, nat_p: $i > $o). 2.11/0.71 thf(func_def_29, type, d_Inj1: $i > $i). 2.11/0.71 thf(func_def_30, type, d_Inj0: $i > $i). 2.11/0.71 thf(func_def_31, type, d_Unj: $i > $i). 2.11/0.71 thf(func_def_32, type, pair: $i > $i > $i). 2.11/0.71 thf(func_def_33, type, proj0: $i > $i). 2.11/0.71 thf(func_def_34, type, proj1: $i > $i). 2.11/0.71 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 2.11/0.71 thf(func_def_36, type, setprod: $i > $i > $i). 2.11/0.71 thf(func_def_37, type, ap: $i > $i > $i). 2.11/0.71 thf(func_def_38, type, pair_p: $i > $o). 2.11/0.71 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 2.11/0.71 thf(func_def_40, type, imp: $o > $o > $o). 2.11/0.71 thf(func_def_41, type, d_not: $o > $o). 2.11/0.71 thf(func_def_42, type, wel: $o > $o). 2.11/0.71 thf(func_def_44, type, l_ec: $o > $o > $o). 2.11/0.71 thf(func_def_45, type, d_and: $o > $o > $o). 2.11/0.71 thf(func_def_46, type, l_or: $o > $o > $o). 2.11/0.71 thf(func_def_47, type, orec: $o > $o > $o). 2.11/0.71 thf(func_def_48, type, l_iff: $o > $o > $o). 2.11/0.71 thf(func_def_49, type, all: $i > ($i > $o) > $o). 2.11/0.71 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 2.11/0.71 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 2.11/0.71 thf(func_def_52, type, or3: $o > $o > $o > $o). 2.11/0.71 thf(func_def_53, type, and3: $o > $o > $o > $o). 2.11/0.71 thf(func_def_54, type, ec3: $o > $o > $o > $o). 2.11/0.71 thf(func_def_55, type, orec3: $o > $o > $o > $o). 2.11/0.71 thf(func_def_56, type, e_is: $i > $i > $i > $o). 2.11/0.71 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 2.11/0.71 thf(func_def_58, type, one: $i > ($i > $o) > $o). 2.11/0.71 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 2.11/0.71 thf(func_def_60, type, injective: $i > $i > $i > $o). 2.11/0.71 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 2.11/0.71 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_64, type, inverse: $i > $i > $i > $i). 2.11/0.71 thf(func_def_65, type, surjective: $i > $i > $i > $o). 2.11/0.71 thf(func_def_66, type, bijective: $i > $i > $i > $o). 2.11/0.71 thf(func_def_67, type, invf: $i > $i > $i > $i). 2.11/0.71 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 2.11/0.71 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 2.11/0.71 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_72, type, first: $i > $i > $i > $i). 2.11/0.71 thf(func_def_73, type, second: $i > $i > $i > $i). 2.11/0.71 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 2.11/0.71 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 2.11/0.71 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_78, type, wissel: $i > $i > $i > $i). 2.11/0.71 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_80, type, r_ec: $o > $o > $o). 2.11/0.71 thf(func_def_81, type, esti: $i > $i > $i > $o). 2.11/0.71 thf(func_def_82, type, empty: $i > $i > $o). 2.11/0.71 thf(func_def_83, type, nonempty: $i > $i > $o). 2.11/0.71 thf(func_def_84, type, incl: $i > $i > $i > $o). 2.11/0.71 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 2.11/0.71 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 2.11/0.71 thf(func_def_87, type, unmore: $i > $i > $i > $i). 2.11/0.71 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 2.11/0.71 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 2.11/0.71 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 2.11/0.71 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 2.11/0.71 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 2.11/0.71 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 2.11/0.71 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 2.11/0.71 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 2.11/0.71 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 2.11/0.71 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 2.11/0.71 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 2.11/0.71 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 2.11/0.71 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 2.11/0.71 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 2.11/0.71 thf(func_def_103, type, n_is: $i > $i > $o). 2.11/0.71 thf(func_def_104, type, nis: $i > $i > $o). 2.11/0.71 thf(func_def_105, type, n_in: $i > $i > $o). 2.11/0.71 thf(func_def_106, type, n_some: ($i > $o) > $o). 2.11/0.71 thf(func_def_107, type, n_all: ($i > $o) > $o). 2.11/0.71 thf(func_def_108, type, n_one: ($i > $o) > $o). 2.11/0.71 thf(func_def_110, type, cond1: $i > $o). 2.11/0.71 thf(func_def_111, type, cond2: $i > $o). 2.11/0.71 thf(func_def_112, type, i1_s: ($i > $o) > $i). 2.11/0.71 thf(func_def_113, type, d_22_prop1: $i > $o). 2.11/0.71 thf(func_def_114, type, d_23_prop1: $i > $o). 2.11/0.71 thf(func_def_115, type, d_24_prop1: $i > $o). 2.11/0.71 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 2.11/0.71 thf(func_def_117, type, prop3: $i > $i > $i > $o). 2.11/0.71 thf(func_def_118, type, prop4: $i > $o). 2.11/0.71 thf(func_def_119, type, d_24_g: $i > $i). 2.11/0.71 thf(func_def_120, type, plus: $i > $i). 2.11/0.71 thf(func_def_121, type, n_pl: $i > $i > $i). 2.11/0.71 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 2.11/0.71 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 2.11/0.71 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 2.11/0.71 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 2.11/0.71 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 2.11/0.71 thf(func_def_127, type, d_29_ii: $i > $i > $o). 2.11/0.71 thf(func_def_128, type, iii: $i > $i > $o). 2.11/0.71 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 2.11/0.71 thf(func_def_130, type, moreis: $i > $i > $o). 2.11/0.71 thf(func_def_131, type, lessis: $i > $i > $o). 2.11/0.71 thf(func_def_152, type, sK1: ($i > $i) > ($i > $i) > $i > $i). 2.11/0.71 thf(func_def_156, type, sK5: ($i > $o) > $i). 2.11/0.71 thf(f1782,plain,( 2.11/0.71 $false), 2.11/0.71 inference(avatar_sat_refutation,[],[f1753,f1768,f1781])). 2.11/0.71 thf(f1781,plain,( 2.11/0.71 ~spl0_6), 2.11/0.71 inference(avatar_contradiction_clause,[],[f1780])). 2.11/0.71 thf(f1780,plain,( 2.11/0.71 $false | ~spl0_6), 2.11/0.71 inference(trivial_inequality_removal,[],[f1779])). 2.11/0.71 thf(f1779,plain,( 2.11/0.71 (sK2 != sK2) | ~spl0_6), 2.11/0.71 inference(superposition,[],[f818,f1752])). 2.11/0.71 thf(f1752,plain,( 2.11/0.71 (sK3 = sK2) | ~spl0_6), 2.11/0.71 inference(avatar_component_clause,[],[f1750])). 2.11/0.71 thf(f1750,plain,( 2.11/0.71 spl0_6 <=> (sK3 = sK2)), 2.11/0.71 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 2.11/0.71 thf(f818,plain,( 2.11/0.71 (sK3 != sK2)), 2.11/0.71 inference(equality_proxy_clausification,[],[f816])). 2.11/0.71 thf(f816,plain,( 2.11/0.71 ((sK2 = sK3) = $false)), 2.11/0.71 inference(binary_proxy_clausification,[],[f814])). 2.11/0.71 thf(f814,plain,( 2.11/0.71 ((((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)) => (sK2 = sK3)) = $false)), 2.11/0.71 inference(binary_proxy_clausification,[],[f813])). 2.11/0.71 thf(f813,plain,( 2.11/0.71 ($false = ((in @ sK4 @ nat) => (((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)) => (sK2 = sK3))))), 2.11/0.71 inference(beta_eta_normalization,[],[f812])). 2.11/0.71 thf(f812,plain,( 2.11/0.71 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0)) => (sK2 = sK3)))) @ sK4) = $false)), 2.11/0.71 inference(sigma_clausification,[],[f810])). 2.11/0.71 thf(f810,plain,( 2.11/0.71 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0)) => (sK2 = sK3))))) = $false)), 2.11/0.71 inference(binary_proxy_clausification,[],[f809])). 2.11/0.71 thf(f809,plain,( 2.11/0.71 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ sK2 @ Y0) = (n_pl @ sK3 @ Y0)) => (sK2 = sK3)))))))), 2.11/0.71 inference(beta_eta_normalization,[],[f808])). 2.11/0.71 thf(f808,plain,( 2.11/0.71 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1)) => (sK2 = Y0))))))) @ sK3))), 2.11/0.71 inference(sigma_clausification,[],[f806])). 2.11/0.71 thf(f806,plain,( 2.11/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1)) => (sK2 = Y0)))))))))), 2.11/0.71 inference(binary_proxy_clausification,[],[f805])). 2.11/0.71 thf(f805,plain,( 2.11/0.71 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ sK2 @ Y1) = (n_pl @ Y0 @ Y1)) => (sK2 = Y0))))))))))), 2.11/0.71 inference(beta_eta_normalization,[],[f804])). 2.11/0.71 thf(f804,plain,( 2.11/0.71 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2)) => (Y0 = Y1)))))))))) @ sK2))), 2.11/0.71 inference(sigma_clausification,[],[f803])). 2.11/0.71 thf(f803,plain,( 2.11/0.71 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2)) => (Y0 = Y1))))))))))))), 2.11/0.71 inference(not_proxy_clausification,[],[f763])). 2.11/0.71 thf(f763,plain,( 2.11/0.71 ((~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2)) => (Y0 = Y1)))))))))))) = $true)), 2.11/0.71 inference(beta_eta_normalization,[],[f735])). 2.11/0.71 thf(f735,plain,( 2.11/0.71 ((~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ 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 > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ Y1))))))))) = $true)), 2.11/0.71 inference(definition_unfolding,[],[f703,f708,f708,f708,f706,f706])). 2.11/0.71 thf(f706,plain,( 2.11/0.71 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 2.11/0.71 inference(definition_unfolding,[],[f666,f668])). 2.11/0.71 thf(f668,plain,( 2.11/0.71 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 2.11/0.71 inference(cnf_transformation,[],[f285])). 2.11/0.71 thf(f285,plain,( 2.11/0.71 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 2.11/0.71 inference(fool_elimination,[],[f284])). 2.11/0.71 thf(f284,plain,( 2.11/0.71 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 2.11/0.71 inference(rectify,[],[f49])). 2.11/0.71 thf(f49,axiom,( 2.11/0.71 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',def_e_is)). 2.11/0.71 thf(f666,plain,( 2.11/0.71 (n_is = (e_is @ nat))), 2.11/0.71 inference(cnf_transformation,[],[f514])). 2.11/0.71 thf(f514,plain,( 2.11/0.71 (n_is = (e_is @ nat))), 2.11/0.71 inference(fool_elimination,[],[f96])). 2.11/0.71 thf(f96,axiom,( 2.11/0.71 (n_is = (e_is @ nat))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',def_n_is)). 2.11/0.71 thf(f708,plain,( 2.11/0.71 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 2.11/0.71 inference(definition_unfolding,[],[f677,f705])). 2.11/0.71 thf(f705,plain,( 2.11/0.71 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 2.11/0.71 inference(cnf_transformation,[],[f354])). 2.11/0.71 thf(f354,plain,( 2.11/0.71 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 2.11/0.71 inference(fool_elimination,[],[f1])). 2.11/0.71 thf(f1,axiom,( 2.11/0.71 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',def_is_of)). 2.11/0.71 thf(f677,plain,( 2.11/0.71 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 2.11/0.71 inference(cnf_transformation,[],[f462])). 2.11/0.71 thf(f462,plain,( 2.11/0.71 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 2.11/0.71 inference(fool_elimination,[],[f461])). 2.11/0.71 thf(f461,plain,( 2.11/0.71 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 2.11/0.71 inference(rectify,[],[f2])). 2.11/0.71 thf(f2,axiom,( 2.11/0.71 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',def_all_of)). 2.11/0.71 thf(f703,plain,( 2.11/0.71 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (n_is @ Y0 @ Y1))))))))))), 2.11/0.71 inference(cnf_transformation,[],[f481])). 2.11/0.71 thf(f481,plain,( 2.11/0.71 ($true = (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2)) => (n_is @ Y0 @ Y1))))))))))), 2.11/0.71 inference(fool_elimination,[],[f480])). 2.11/0.71 thf(f480,plain,( 2.11/0.71 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)) => (n_is @ X1 @ X3))))))))), 2.11/0.71 inference(rectify,[],[f249])). 2.11/0.71 thf(f249,negated_conjecture,( 2.11/0.71 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)) => (n_is @ X0 @ X1))))))))), 2.11/0.71 inference(negated_conjecture,[],[f248])). 2.11/0.71 thf(f248,conjecture,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)) => (n_is @ X0 @ X1))))))))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',satz20b)). 2.11/0.71 thf(f1768,plain,( 2.11/0.71 ~spl0_5), 2.11/0.71 inference(avatar_contradiction_clause,[],[f1767])). 2.11/0.71 thf(f1767,plain,( 2.11/0.71 $false | ~spl0_5), 2.11/0.71 inference(trivial_inequality_removal,[],[f1764])). 2.11/0.71 thf(f1764,plain,( 2.11/0.71 ($false = $true) | ~spl0_5), 2.11/0.71 inference(backward_demodulation,[],[f807,f1748])). 2.11/0.71 thf(f1748,plain,( 2.11/0.71 ((in @ sK2 @ nat) = $false) | ~spl0_5), 2.11/0.71 inference(avatar_component_clause,[],[f1746])). 2.11/0.71 thf(f1746,plain,( 2.11/0.71 spl0_5 <=> ((in @ sK2 @ nat) = $false)), 2.11/0.71 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 2.11/0.71 thf(f807,plain,( 2.11/0.71 ((in @ sK2 @ nat) = $true)), 2.11/0.71 inference(binary_proxy_clausification,[],[f805])). 2.11/0.71 thf(f1753,plain,( 2.11/0.71 spl0_5 | spl0_6), 2.11/0.71 inference(avatar_split_clause,[],[f1710,f1750,f1746])). 2.11/0.71 thf(f1710,plain,( 2.11/0.71 ((in @ sK2 @ nat) = $false) | (sK3 = sK2)), 2.11/0.71 inference(equality_resolution,[],[f1693])). 2.11/0.71 thf(f1693,plain,( 2.11/0.71 ( ! [X0 : $i] : (((n_pl @ X0 @ sK4) != (n_pl @ sK2 @ sK4)) | ((in @ X0 @ nat) = $false) | (sK3 = X0)) )), 2.11/0.71 inference(trivial_inequality_removal,[],[f1692])). 2.11/0.71 thf(f1692,plain,( 2.11/0.71 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | (sK3 = X0) | ((n_pl @ X0 @ sK4) != (n_pl @ sK2 @ sK4)) | ($false = $true)) )), 2.11/0.71 inference(forward_demodulation,[],[f1691,f811])). 2.11/0.71 thf(f811,plain,( 2.11/0.71 ($true = (in @ sK3 @ nat))), 2.11/0.71 inference(binary_proxy_clausification,[],[f809])). 2.11/0.71 thf(f1691,plain,( 2.11/0.71 ( ! [X0 : $i] : ((sK3 = X0) | ((in @ X0 @ nat) = $false) | ((n_pl @ X0 @ sK4) != (n_pl @ sK2 @ sK4)) | ($false = (in @ sK3 @ nat))) )), 2.11/0.71 inference(trivial_inequality_removal,[],[f1690])). 2.11/0.71 thf(f1690,plain,( 2.11/0.71 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ($false = $true) | ((n_pl @ X0 @ sK4) != (n_pl @ sK2 @ sK4)) | ($false = (in @ sK3 @ nat)) | (sK3 = X0)) )), 2.11/0.71 inference(forward_demodulation,[],[f1665,f815])). 2.11/0.71 thf(f815,plain,( 2.11/0.71 ($true = (in @ sK4 @ nat))), 2.11/0.71 inference(binary_proxy_clausification,[],[f813])). 2.11/0.71 thf(f1665,plain,( 2.11/0.71 ( ! [X0 : $i] : (((in @ X0 @ nat) = $false) | ((n_pl @ X0 @ sK4) != (n_pl @ sK2 @ sK4)) | (sK3 = X0) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK3 @ nat))) )), 2.11/0.71 inference(superposition,[],[f1128,f1496])). 2.11/0.71 thf(f1496,plain,( 2.11/0.71 ((n_pl @ sK4 @ sK3) = (n_pl @ sK2 @ sK4))), 2.11/0.71 inference(trivial_inequality_removal,[],[f1495])). 2.11/0.71 thf(f1495,plain,( 2.11/0.71 ((n_pl @ sK4 @ sK3) = (n_pl @ sK2 @ sK4)) | ($false = $true)), 2.11/0.71 inference(forward_demodulation,[],[f1494,f815])). 2.11/0.71 thf(f1494,plain,( 2.11/0.71 ((n_pl @ sK4 @ sK3) = (n_pl @ sK2 @ sK4)) | ($false = (in @ sK4 @ nat))), 2.11/0.71 inference(equality_resolution,[],[f1487])). 2.11/0.71 thf(f1487,plain,( 2.11/0.71 ( ! [X0 : $i] : ((sK4 != X0) | ((in @ X0 @ nat) = $false) | ((n_pl @ X0 @ sK3) = (n_pl @ sK2 @ sK4))) )), 2.11/0.71 inference(trivial_inequality_removal,[],[f1486])). 2.11/0.71 thf(f1486,plain,( 2.11/0.71 ( ! [X0 : $i] : (((n_pl @ X0 @ sK3) = (n_pl @ sK2 @ sK4)) | (sK4 != X0) | ($false = $true) | ((in @ X0 @ nat) = $false)) )), 2.11/0.71 inference(forward_demodulation,[],[f1485,f815])). 2.11/0.71 thf(f1485,plain,( 2.11/0.71 ( ! [X0 : $i] : (($false = (in @ sK4 @ nat)) | (sK4 != X0) | ((in @ X0 @ nat) = $false) | ((n_pl @ X0 @ sK3) = (n_pl @ sK2 @ sK4))) )), 2.11/0.71 inference(trivial_inequality_removal,[],[f1484])). 2.11/0.71 thf(f1484,plain,( 2.11/0.71 ( ! [X0 : $i] : ((sK4 != X0) | ((in @ X0 @ nat) = $false) | ((n_pl @ X0 @ sK3) = (n_pl @ sK2 @ sK4)) | ($false = $true) | ($false = (in @ sK4 @ nat))) )), 2.11/0.71 inference(forward_demodulation,[],[f1395,f811])). 2.11/0.71 thf(f1395,plain,( 2.11/0.71 ( ! [X0 : $i] : ((sK4 != X0) | ($false = (in @ sK3 @ nat)) | ((in @ X0 @ nat) = $false) | ($false = (in @ sK4 @ nat)) | ((n_pl @ X0 @ sK3) = (n_pl @ sK2 @ sK4))) )), 2.11/0.71 inference(superposition,[],[f1087,f819])). 2.11/0.71 thf(f819,plain,( 2.11/0.71 ((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4))), 2.11/0.71 inference(equality_proxy_clausification,[],[f817])). 2.11/0.71 thf(f817,plain,( 2.11/0.71 (((n_pl @ sK2 @ sK4) = (n_pl @ sK3 @ sK4)) = $true)), 2.11/0.71 inference(binary_proxy_clausification,[],[f814])). 2.11/0.71 thf(f1087,plain,( 2.11/0.71 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((n_pl @ X1 @ X0) = (n_pl @ X2 @ X1)) | ((in @ X0 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X0 != X2)) )), 2.11/0.71 inference(duplicate_literal_removal,[],[f1083])). 2.11/0.71 thf(f1083,plain,( 2.11/0.71 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((n_pl @ X1 @ X0) = (n_pl @ X2 @ X1)) | ((in @ X0 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X0 != X2) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(superposition,[],[f952,f841])). 2.11/0.71 thf(f841,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_pl @ X1 @ X3) = (n_pl @ X2 @ X3)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((in @ X3 @ nat) = $false) | (X1 != X2)) )), 2.11/0.71 inference(equality_proxy_clausification,[],[f840])). 2.11/0.71 thf(f840,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($false = (X1 = X2)) | ((in @ X3 @ nat) = $false) | ((n_pl @ X1 @ X3) = (n_pl @ X2 @ X3)) | ((in @ X2 @ nat) = $false)) )), 2.11/0.71 inference(equality_proxy_clausification,[],[f839])). 2.11/0.71 thf(f839,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((n_pl @ X1 @ X3) = (n_pl @ X2 @ X3))) | ($false = (X1 = X2))) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f838])). 2.11/0.71 thf(f838,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((X1 = X2) => ((n_pl @ X1 @ X3) = (n_pl @ X2 @ X3))) = $true) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f837])). 2.11/0.71 thf(f837,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((in @ X3 @ nat) => ((X1 = X2) => ((n_pl @ X1 @ X3) = (n_pl @ X2 @ X3)))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f836])). 2.11/0.71 thf(f836,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((X1 = X2) => ((n_pl @ X1 @ Y0) = (n_pl @ X2 @ Y0))))) @ X3)) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(pi_clausification,[],[f835])). 2.11/0.71 thf(f835,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((X1 = X2) => ((n_pl @ X1 @ Y0) = (n_pl @ X2 @ Y0)))))) = $true) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f834])). 2.11/0.71 thf(f834,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((X1 = X2) => ((n_pl @ X1 @ Y0) = (n_pl @ X2 @ Y0))))))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f833])). 2.11/0.71 thf(f833,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((X1 = Y0) => ((n_pl @ X1 @ Y1) = (n_pl @ Y0 @ Y1)))))))) @ X2)) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(pi_clausification,[],[f832])). 2.11/0.71 thf(f832,plain,( 2.11/0.71 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((X1 = Y0) => ((n_pl @ X1 @ Y1) = (n_pl @ Y0 @ Y1))))))))) = $true) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f831])). 2.11/0.71 thf(f831,plain,( 2.11/0.71 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((X1 = Y0) => ((n_pl @ X1 @ Y1) = (n_pl @ Y0 @ Y1)))))))))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f830])). 2.11/0.71 thf(f830,plain,( 2.11/0.71 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((Y0 = Y1) => ((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2))))))))))) @ X1))) )), 2.11/0.71 inference(pi_clausification,[],[f761])). 2.11/0.71 thf(f761,plain,( 2.11/0.71 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((Y0 = Y1) => ((n_pl @ Y0 @ Y2) = (n_pl @ Y1 @ Y2)))))))))))) = $true)), 2.11/0.71 inference(beta_eta_normalization,[],[f734])). 2.11/0.71 thf(f734,plain,( 2.11/0.71 ($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 @ 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 > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y0 @ Y1) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))), 2.11/0.71 inference(definition_unfolding,[],[f702,f708,f708,f708,f706,f706])). 2.11/0.71 thf(f702,plain,( 2.11/0.71 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ Y0 @ Y1) => (n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))), 2.11/0.71 inference(cnf_transformation,[],[f588])). 2.11/0.71 thf(f588,plain,( 2.11/0.71 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ Y0 @ Y1) => (n_is @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y2))))))))))), 2.11/0.71 inference(fool_elimination,[],[f587])). 2.11/0.71 thf(f587,plain,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ X1 @ X3) => (n_is @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X5)))))))))), 2.11/0.71 inference(rectify,[],[f212])). 2.11/0.71 thf(f212,axiom,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ X0 @ X1) => (n_is @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X2)))))))))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',satz19b)). 2.11/0.71 thf(f952,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(equality_proxy_clausification,[],[f951])). 2.11/0.71 thf(f951,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false) | (((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)) = $true)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f950])). 2.11/0.71 thf(f950,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => ((n_pl @ X1 @ X2) = (n_pl @ X2 @ X1)))) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(beta_eta_normalization,[],[f949])). 2.11/0.71 thf(f949,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))) @ X2) = $true)) )), 2.11/0.71 inference(pi_clausification,[],[f948])). 2.11/0.71 thf(f948,plain,( 2.11/0.71 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1))))))) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f947])). 2.11/0.71 thf(f947,plain,( 2.11/0.71 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_pl @ X1 @ Y0) = (n_pl @ Y0 @ X1)))))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f946])). 2.11/0.71 thf(f946,plain,( 2.11/0.71 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0))))))) @ X1))) )), 2.11/0.71 inference(pi_clausification,[],[f747])). 2.11/0.71 thf(f747,plain,( 2.11/0.71 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_pl @ Y0 @ Y1) = (n_pl @ Y1 @ Y0)))))))))), 2.11/0.71 inference(beta_eta_normalization,[],[f719])). 2.11/0.71 thf(f719,plain,( 2.11/0.71 (((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ 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]: (Y3 = Y4)))))) @ nat @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)), 2.11/0.71 inference(definition_unfolding,[],[f676,f708,f708,f706])). 2.11/0.71 thf(f676,plain,( 2.11/0.71 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)), 2.11/0.71 inference(cnf_transformation,[],[f270])). 2.11/0.71 thf(f270,plain,( 2.11/0.71 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y1 @ Y0)))))) = $true)), 2.11/0.71 inference(fool_elimination,[],[f269])). 2.11/0.71 thf(f269,plain,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X3 @ X1))))))), 2.11/0.71 inference(rectify,[],[f194])). 2.11/0.71 thf(f194,axiom,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X1 @ X0))))))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',satz6)). 2.11/0.71 thf(f1128,plain,( 2.11/0.71 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((n_pl @ X1 @ X0) != (n_pl @ X0 @ X2)) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X1 = X2) | ((in @ X2 @ nat) = $false)) )), 2.11/0.71 inference(duplicate_literal_removal,[],[f1120])). 2.11/0.71 thf(f1120,plain,( 2.11/0.71 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((in @ X0 @ nat) = $false) | (X1 = X2) | ((in @ X0 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((n_pl @ X1 @ X0) != (n_pl @ X0 @ X2))) )), 2.11/0.71 inference(superposition,[],[f883,f952])). 2.11/0.71 thf(f883,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_pl @ X1 @ X2) != (n_pl @ X1 @ X3)) | ((in @ X3 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (X2 = X3) | ((in @ X2 @ nat) = $false)) )), 2.11/0.71 inference(equality_proxy_clausification,[],[f882])). 2.11/0.71 thf(f882,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ nat) = $false) | (X2 = X3) | ($false = ((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3))) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(equality_proxy_clausification,[],[f881])). 2.11/0.71 thf(f881,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ nat) = $false) | ($true = (X2 = X3)) | ((in @ X2 @ nat) = $false) | ($false = ((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3))) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f880])). 2.11/0.71 thf(f880,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = (((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3))) | ((in @ X3 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f879])). 2.11/0.71 thf(f879,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((in @ X3 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ X3)) => (X2 = X3))) = $true) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(beta_eta_normalization,[],[f878])). 2.11/0.71 thf(f878,plain,( 2.11/0.71 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))) @ X3) = $true) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false)) )), 2.11/0.71 inference(pi_clausification,[],[f877])). 2.11/0.71 thf(f877,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))))) | ((in @ X2 @ nat) = $false)) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f876])). 2.11/0.71 thf(f876,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (((n_pl @ X1 @ X2) = (n_pl @ X1 @ Y0)) => (X2 = Y0)))))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f875])). 2.11/0.71 thf(f875,plain,( 2.11/0.71 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))) @ X2))) )), 2.11/0.71 inference(pi_clausification,[],[f874])). 2.11/0.71 thf(f874,plain,( 2.11/0.71 ( ! [X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1)))))))))) )), 2.11/0.71 inference(binary_proxy_clausification,[],[f873])). 2.11/0.71 thf(f873,plain,( 2.11/0.71 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (((n_pl @ X1 @ Y0) = (n_pl @ X1 @ Y1)) => (Y0 = Y1))))))))))) )), 2.11/0.71 inference(beta_eta_normalization,[],[f872])). 2.11/0.71 thf(f872,plain,( 2.11/0.71 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2)))))))))) @ X1) = $true)) )), 2.11/0.71 inference(pi_clausification,[],[f758])). 2.11/0.71 thf(f758,plain,( 2.11/0.71 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (((n_pl @ Y0 @ Y1) = (n_pl @ Y0 @ Y2)) => (Y1 = Y2))))))))))))), 2.11/0.71 inference(beta_eta_normalization,[],[f724])). 2.11/0.71 thf(f724,plain,( 2.11/0.71 ($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 @ 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 > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (Y4 = Y5)))))) @ nat @ Y1 @ Y2)))))))))), 2.11/0.71 inference(definition_unfolding,[],[f685,f708,f708,f708,f706,f706])). 2.11/0.71 thf(f685,plain,( 2.11/0.71 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))) = $true)), 2.11/0.71 inference(cnf_transformation,[],[f422])). 2.11/0.71 thf(f422,plain,( 2.11/0.71 ((all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((n_is @ (n_pl @ Y0 @ Y1) @ (n_pl @ Y0 @ Y2)) => (n_is @ Y1 @ Y2)))))))) = $true)), 2.11/0.71 inference(fool_elimination,[],[f421])). 2.11/0.71 thf(f421,plain,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((n_is @ (n_pl @ X1 @ X3) @ (n_pl @ X1 @ X5)) => (n_is @ X3 @ X5))))))))), 2.11/0.71 inference(rectify,[],[f250])). 2.11/0.71 thf(f250,axiom,( 2.11/0.71 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((n_is @ (n_pl @ X0 @ X1) @ (n_pl @ X0 @ X2)) => (n_is @ X1 @ X2))))))))), 2.11/0.71 file('/export/starexec/sandbox/tmp/tmp.vLssHlb54T/E---3.1_21008.p',satz8a)). 2.11/0.71 % SZS output end Proof for E---3.1_21008 2.11/0.71 % (21165)------------------------------ 2.11/0.71 % (21165)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.11/0.71 % (21165)Termination reason: Refutation 2.11/0.71 2.11/0.71 % (21165)Memory used [KB]: 6908 2.11/0.71 % (21165)Time elapsed: 0.116 s 2.11/0.71 % (21165)Instructions burned: 227 (million) 2.11/0.71 % (21165)------------------------------ 2.11/0.71 % (21165)------------------------------ 2.11/0.71 % (21120)Success in time 0.36 s 2.11/0.71 EOF