0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d THM 0.12/0.34 % Computer : n001.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 09:28:24 EDT 2024 0.12/0.34 % CPUTime : 0.12/0.36 This is a THF_ problem 0.12/0.36 Running higher-order theorem proving 0.20/0.41 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.ypvxNuAOri/E---3.1_5972.p -m 16384 -t 180 0.20/0.46 % (6157)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/183Mi) 0.20/0.46 % (6160)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/2Mi) 0.20/0.46 % (6159)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_5972 for (1799ds/27Mi) 0.20/0.46 % (6162)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_5972 for (1799ds/275Mi) 0.20/0.46 % (6163)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/18Mi) 0.20/0.46 % (6158)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_5972 for (1799ds/4Mi) 0.20/0.46 % (6160)Instruction limit reached! 0.20/0.46 % (6160)------------------------------ 0.20/0.46 % (6160)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (6160)Termination reason: Unknown 0.20/0.46 % (6160)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (6160)Memory used [KB]: 1535 0.20/0.46 % (6160)Time elapsed: 0.004 s 0.20/0.46 % (6160)Instructions burned: 2 (million) 0.20/0.46 % (6160)------------------------------ 0.20/0.46 % (6160)------------------------------ 0.20/0.46 % (6161)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_5972 for (1799ds/2Mi) 0.20/0.46 % (6158)Instruction limit reached! 0.20/0.46 % (6158)------------------------------ 0.20/0.46 % (6158)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (6158)Termination reason: Unknown 0.20/0.46 % (6158)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (6158)Memory used [KB]: 1535 0.20/0.46 % (6158)Time elapsed: 0.006 s 0.20/0.46 % (6158)Instructions burned: 4 (million) 0.20/0.46 % (6158)------------------------------ 0.20/0.46 % (6158)------------------------------ 0.20/0.46 % (6161)Instruction limit reached! 0.20/0.46 % (6161)------------------------------ 0.20/0.46 % (6161)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.46 % (6161)Termination reason: Unknown 0.20/0.46 % (6161)Termination phase: shuffling 0.20/0.46 0.20/0.46 % (6161)Memory used [KB]: 1535 0.20/0.46 % (6161)Time elapsed: 0.005 s 0.20/0.46 % (6161)Instructions burned: 2 (million) 0.20/0.46 % (6161)------------------------------ 0.20/0.46 % (6161)------------------------------ 0.20/0.47 % (6163)Instruction limit reached! 0.20/0.47 % (6163)------------------------------ 0.20/0.47 % (6163)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.47 % (6163)Termination reason: Unknown 0.20/0.47 % (6163)Termination phase: shuffling 0.20/0.47 0.20/0.47 % (6163)Memory used [KB]: 1791 0.20/0.47 % (6163)Time elapsed: 0.013 s 0.20/0.47 % (6163)Instructions burned: 18 (million) 0.20/0.47 % (6163)------------------------------ 0.20/0.47 % (6163)------------------------------ 0.20/0.47 % (6159)Instruction limit reached! 0.20/0.47 % (6159)------------------------------ 0.20/0.47 % (6159)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.47 % (6159)Termination reason: Unknown 0.20/0.47 % (6159)Termination phase: shuffling 0.20/0.47 0.20/0.47 % (6159)Memory used [KB]: 1918 0.20/0.47 % (6159)Time elapsed: 0.017 s 0.20/0.47 % (6159)Instructions burned: 28 (million) 0.20/0.47 % (6159)------------------------------ 0.20/0.47 % (6159)------------------------------ 0.20/0.48 % (6166)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_5972 for (1799ds/3Mi) 0.20/0.48 % (6167)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_5972 for (1799ds/37Mi) 0.20/0.48 % (6166)Instruction limit reached! 0.20/0.48 % (6166)------------------------------ 0.20/0.48 % (6166)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.20/0.48 % (6166)Termination reason: Unknown 0.20/0.48 % (6166)Termination phase: shuffling 0.20/0.48 0.20/0.48 % (6166)Memory used [KB]: 1535 0.20/0.48 % (6166)Time elapsed: 0.004 s 0.20/0.48 % (6166)Instructions burned: 3 (million) 0.20/0.48 % (6166)------------------------------ 0.20/0.48 % (6166)------------------------------ 0.27/0.48 % (6168)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_5972 for (1799ds/15Mi) 0.27/0.49 % (6168)Instruction limit reached! 0.27/0.49 % (6168)------------------------------ 0.27/0.49 % (6168)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.49 % (6168)Termination reason: Unknown 0.27/0.49 % (6168)Termination phase: shuffling 0.27/0.49 0.27/0.49 % (6168)Memory used [KB]: 1791 0.27/0.49 % (6168)Time elapsed: 0.008 s 0.27/0.49 % (6168)Instructions burned: 18 (million) 0.27/0.49 % (6168)------------------------------ 0.27/0.49 % (6168)------------------------------ 0.27/0.49 % (6169)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_5972 for (1799ds/3Mi) 0.27/0.50 % (6169)Instruction limit reached! 0.27/0.50 % (6169)------------------------------ 0.27/0.50 % (6169)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (6169)Termination reason: Unknown 0.27/0.50 % (6169)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (6169)Memory used [KB]: 1535 0.27/0.50 % (6169)Time elapsed: 0.005 s 0.27/0.50 % (6169)Instructions burned: 3 (million) 0.27/0.50 % (6169)------------------------------ 0.27/0.50 % (6169)------------------------------ 0.27/0.50 % (6170)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_5972 for (1799ds/1041Mi) 0.27/0.50 % (6162)Refutation not found, incomplete strategy 0.27/0.50 % (6162)------------------------------ 0.27/0.50 % (6162)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (6162)Termination reason: Refutation not found, incomplete strategy 0.27/0.50 0.27/0.50 0.27/0.50 % (6162)Memory used [KB]: 6652 0.27/0.50 % (6162)Time elapsed: 0.043 s 0.27/0.50 % (6162)Instructions burned: 78 (million) 0.27/0.50 % (6162)------------------------------ 0.27/0.50 % (6162)------------------------------ 0.27/0.50 % (6172)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/16Mi) 0.27/0.50 % (6167)Instruction limit reached! 0.27/0.50 % (6167)------------------------------ 0.27/0.50 % (6167)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (6167)Termination reason: Unknown 0.27/0.50 % (6167)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (6167)Memory used [KB]: 2174 0.27/0.50 % (6167)Time elapsed: 0.022 s 0.27/0.50 % (6167)Instructions burned: 38 (million) 0.27/0.50 % (6167)------------------------------ 0.27/0.50 % (6167)------------------------------ 0.27/0.50 % (6172)Instruction limit reached! 0.27/0.50 % (6172)------------------------------ 0.27/0.50 % (6172)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.50 % (6172)Termination reason: Unknown 0.27/0.50 % (6172)Termination phase: shuffling 0.27/0.50 0.27/0.50 % (6172)Memory used [KB]: 1791 0.27/0.50 % (6172)Time elapsed: 0.007 s 0.27/0.50 % (6172)Instructions burned: 16 (million) 0.27/0.50 % (6172)------------------------------ 0.27/0.50 % (6172)------------------------------ 0.27/0.51 % (6171)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/7Mi) 0.27/0.51 % (6171)Instruction limit reached! 0.27/0.51 % (6171)------------------------------ 0.27/0.51 % (6171)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (6171)Termination reason: Unknown 0.27/0.51 % (6171)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (6171)Memory used [KB]: 1663 0.27/0.51 % (6171)Time elapsed: 0.007 s 0.27/0.51 % (6171)Instructions burned: 8 (million) 0.27/0.51 % (6171)------------------------------ 0.27/0.51 % (6171)------------------------------ 0.27/0.51 % (6176)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_5972 for (1799ds/3Mi) 0.27/0.51 % (6176)Instruction limit reached! 0.27/0.51 % (6176)------------------------------ 0.27/0.51 % (6176)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.51 % (6176)Termination reason: Unknown 0.27/0.51 % (6176)Termination phase: shuffling 0.27/0.51 0.27/0.51 % (6176)Memory used [KB]: 1535 0.27/0.51 % (6176)Time elapsed: 0.003 s 0.27/0.51 % (6176)Instructions burned: 4 (million) 0.27/0.51 % (6176)------------------------------ 0.27/0.51 % (6176)------------------------------ 0.27/0.52 % (6174)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_5972 for (1799ds/3Mi) 0.27/0.52 % (6175)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_5972 for (1799ds/7Mi) 0.27/0.52 % (6174)Instruction limit reached! 0.27/0.52 % (6174)------------------------------ 0.27/0.52 % (6174)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (6174)Termination reason: Unknown 0.27/0.52 % (6174)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (6174)Memory used [KB]: 1535 0.27/0.52 % (6174)Time elapsed: 0.004 s 0.27/0.52 % (6174)Instructions burned: 3 (million) 0.27/0.52 % (6174)------------------------------ 0.27/0.52 % (6174)------------------------------ 0.27/0.52 % (6175)Instruction limit reached! 0.27/0.52 % (6175)------------------------------ 0.27/0.52 % (6175)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.52 % (6175)Termination reason: Unknown 0.27/0.52 % (6175)Termination phase: shuffling 0.27/0.52 0.27/0.52 % (6175)Memory used [KB]: 1535 0.27/0.52 % (6175)Time elapsed: 0.006 s 0.27/0.52 % (6175)Instructions burned: 7 (million) 0.27/0.52 % (6175)------------------------------ 0.27/0.52 % (6175)------------------------------ 0.27/0.52 % (6178)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_5972 for (1799ds/18Mi) 0.27/0.52 % (6173)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_5972 for (1799ds/3Mi) 0.27/0.53 % (6177)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_5972 for (1799ds/4Mi) 0.27/0.53 % (6173)Instruction limit reached! 0.27/0.53 % (6173)------------------------------ 0.27/0.53 % (6173)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (6173)Termination reason: Unknown 0.27/0.53 % (6173)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (6173)Memory used [KB]: 1535 0.27/0.53 % (6173)Time elapsed: 0.006 s 0.27/0.53 % (6173)Instructions burned: 4 (million) 0.27/0.53 % (6173)------------------------------ 0.27/0.53 % (6173)------------------------------ 0.27/0.53 % (6177)Instruction limit reached! 0.27/0.53 % (6177)------------------------------ 0.27/0.53 % (6177)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (6178)Instruction limit reached! 0.27/0.53 % (6178)------------------------------ 0.27/0.53 % (6178)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.53 % (6178)Termination reason: Unknown 0.27/0.53 % (6178)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (6178)Memory used [KB]: 1791 0.27/0.53 % (6178)Time elapsed: 0.008 s 0.27/0.53 % (6178)Instructions burned: 20 (million) 0.27/0.53 % (6178)------------------------------ 0.27/0.53 % (6178)------------------------------ 0.27/0.53 % (6177)Termination reason: Unknown 0.27/0.53 % (6177)Termination phase: shuffling 0.27/0.53 0.27/0.53 % (6177)Memory used [KB]: 1535 0.27/0.53 % (6177)Time elapsed: 0.005 s 0.27/0.53 % (6177)Instructions burned: 5 (million) 0.27/0.53 % (6177)------------------------------ 0.27/0.53 % (6177)------------------------------ 0.27/0.53 % (6179)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/710Mi) 0.27/0.54 % (6180)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/6Mi) 0.27/0.54 % (6182)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_5972 for (1798ds/21Mi) 0.27/0.54 % (6180)Instruction limit reached! 0.27/0.54 % (6180)------------------------------ 0.27/0.54 % (6180)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.54 % (6180)Termination reason: Unknown 0.27/0.54 % (6180)Termination phase: shuffling 0.27/0.54 0.27/0.54 % (6180)Memory used [KB]: 1535 0.27/0.54 % (6180)Time elapsed: 0.006 s 0.27/0.54 % (6180)Instructions burned: 7 (million) 0.27/0.54 % (6180)------------------------------ 0.27/0.54 % (6180)------------------------------ 0.27/0.55 % (6183)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/5Mi) 0.27/0.55 % (6182)Instruction limit reached! 0.27/0.55 % (6182)------------------------------ 0.27/0.55 % (6182)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.55 % (6182)Termination reason: Unknown 0.27/0.55 % (6182)Termination phase: shuffling 0.27/0.55 0.27/0.55 % (6182)Memory used [KB]: 1791 0.27/0.55 % (6182)Time elapsed: 0.009 s 0.27/0.55 % (6182)Instructions burned: 23 (million) 0.27/0.55 % (6182)------------------------------ 0.27/0.55 % (6182)------------------------------ 0.27/0.55 % (6183)Instruction limit reached! 0.27/0.55 % (6183)------------------------------ 0.27/0.55 % (6183)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.55 % (6183)Termination reason: Unknown 0.27/0.55 % (6183)Termination phase: shuffling 0.27/0.55 0.27/0.55 % (6183)Memory used [KB]: 1535 0.27/0.55 % (6183)Time elapsed: 0.005 s 0.27/0.55 % (6183)Instructions burned: 5 (million) 0.27/0.55 % (6183)------------------------------ 0.27/0.55 % (6183)------------------------------ 0.27/0.55 % (6157)Instruction limit reached! 0.27/0.55 % (6157)------------------------------ 0.27/0.55 % (6157)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.55 % (6157)Termination reason: Unknown 0.27/0.55 % (6157)Termination phase: Function definition elimination 0.27/0.55 0.27/0.55 % (6157)Memory used [KB]: 2430 0.27/0.55 % (6157)Time elapsed: 0.094 s 0.27/0.55 % (6157)Instructions burned: 184 (million) 0.27/0.55 % (6157)------------------------------ 0.27/0.55 % (6157)------------------------------ 0.27/0.55 % (6181)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_5972 for (1798ds/902Mi) 0.27/0.56 % (6185)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/377Mi) 0.27/0.56 % (6184)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_5972 for (1798ds/6Mi) 0.27/0.56 % (6184)Instruction limit reached! 0.27/0.56 % (6184)------------------------------ 0.27/0.56 % (6184)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.56 % (6184)Termination reason: Unknown 0.27/0.56 % (6184)Termination phase: shuffling 0.27/0.56 0.27/0.56 % (6184)Memory used [KB]: 1663 0.27/0.56 % (6184)Time elapsed: 0.006 s 0.27/0.56 % (6184)Instructions burned: 6 (million) 0.27/0.56 % (6184)------------------------------ 0.27/0.56 % (6184)------------------------------ 0.27/0.57 % (6186)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_5972 for (1798ds/779Mi) 0.27/0.58 % (6188)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_5972 for (1798ds/879Mi) 0.27/0.58 % (6187)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_5972 for (1798ds/19Mi) 0.27/0.60 % (6187)Instruction limit reached! 0.27/0.60 % (6187)------------------------------ 0.27/0.60 % (6187)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 0.27/0.60 % (6187)Termination reason: Unknown 0.27/0.60 % (6187)Termination phase: shuffling 0.27/0.60 0.27/0.60 % (6187)Memory used [KB]: 1791 0.27/0.60 % (6187)Time elapsed: 0.019 s 0.27/0.60 % (6187)Instructions burned: 19 (million) 0.27/0.60 % (6187)------------------------------ 0.27/0.60 % (6187)------------------------------ 1.33/0.61 % (6189)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/17Mi) 1.33/0.62 % (6189)Instruction limit reached! 1.33/0.62 % (6189)------------------------------ 1.33/0.62 % (6189)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.33/0.62 % (6189)Termination reason: Unknown 1.33/0.62 % (6189)Termination phase: shuffling 1.33/0.62 1.33/0.62 % (6189)Memory used [KB]: 1791 1.33/0.62 % (6189)Time elapsed: 0.012 s 1.33/0.62 % (6189)Instructions burned: 18 (million) 1.33/0.62 % (6189)------------------------------ 1.33/0.62 % (6189)------------------------------ 1.33/0.62 % (6181)Refutation not found, incomplete strategy 1.33/0.62 % (6181)------------------------------ 1.33/0.62 % (6181)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.33/0.62 % (6181)Termination reason: Refutation not found, incomplete strategy 1.33/0.62 1.33/0.62 1.33/0.62 % (6181)Memory used [KB]: 7036 1.33/0.62 % (6181)Time elapsed: 0.073 s 1.33/0.62 % (6181)Instructions burned: 138 (million) 1.33/0.62 % (6181)------------------------------ 1.33/0.62 % (6181)------------------------------ 1.51/0.64 % (6197)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/3Mi) 1.51/0.64 % (6197)Instruction limit reached! 1.51/0.64 % (6197)------------------------------ 1.51/0.64 % (6197)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.64 % (6197)Termination reason: Unknown 1.51/0.64 % (6197)Termination phase: shuffling 1.51/0.64 1.51/0.64 % (6197)Memory used [KB]: 1535 1.51/0.64 % (6197)Time elapsed: 0.005 s 1.51/0.64 % (6197)Instructions burned: 3 (million) 1.51/0.64 % (6197)------------------------------ 1.51/0.64 % (6197)------------------------------ 1.51/0.64 % (6198)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on E---3.1_5972 for (1798ds/30Mi) 1.51/0.65 % (6185)Instruction limit reached! 1.51/0.65 % (6185)------------------------------ 1.51/0.65 % (6185)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.65 % (6185)Termination reason: Unknown 1.51/0.65 % (6185)Termination phase: Function definition elimination 1.51/0.65 1.51/0.65 % (6185)Memory used [KB]: 2430 1.51/0.65 % (6185)Time elapsed: 0.091 s 1.51/0.65 % (6185)Instructions burned: 379 (million) 1.51/0.65 % (6185)------------------------------ 1.51/0.65 % (6185)------------------------------ 1.51/0.65 % (6188)Refutation not found, incomplete strategy 1.51/0.65 % (6188)------------------------------ 1.51/0.65 % (6188)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.65 % (6188)Termination reason: Refutation not found, incomplete strategy 1.51/0.65 1.51/0.65 1.51/0.65 % (6188)Memory used [KB]: 6908 1.51/0.65 % (6188)Time elapsed: 0.074 s 1.51/0.65 % (6188)Instructions burned: 139 (million) 1.51/0.65 % (6188)------------------------------ 1.51/0.65 % (6188)------------------------------ 1.51/0.66 % (6198)Instruction limit reached! 1.51/0.66 % (6198)------------------------------ 1.51/0.66 % (6198)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.66 % (6198)Termination reason: Unknown 1.51/0.66 % (6198)Termination phase: shuffling 1.51/0.66 1.51/0.66 % (6198)Memory used [KB]: 1918 1.51/0.66 % (6198)Time elapsed: 0.018 s 1.51/0.66 % (6198)Instructions burned: 30 (million) 1.51/0.66 % (6198)------------------------------ 1.51/0.66 % (6198)------------------------------ 1.51/0.66 % (6208)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_5972 for (1797ds/100Mi) 1.51/0.66 % (6207)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_5972 for (1797ds/127Mi) 1.51/0.67 % (6210)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_5972 for (1797ds/3Mi) 1.51/0.67 % (6210)Instruction limit reached! 1.51/0.67 % (6210)------------------------------ 1.51/0.67 % (6210)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.67 % (6210)Termination reason: Unknown 1.51/0.67 % (6210)Termination phase: shuffling 1.51/0.67 1.51/0.67 % (6210)Memory used [KB]: 1535 1.51/0.67 % (6210)Time elapsed: 0.004 s 1.51/0.67 % (6210)Instructions burned: 3 (million) 1.51/0.67 % (6210)------------------------------ 1.51/0.67 % (6210)------------------------------ 1.51/0.67 % (6211)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_5972 for (1797ds/20Mi) 1.51/0.68 % (6211)Instruction limit reached! 1.51/0.68 % (6211)------------------------------ 1.51/0.68 % (6211)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.51/0.68 % (6211)Termination reason: Unknown 1.51/0.68 % (6211)Termination phase: shuffling 1.51/0.68 1.51/0.68 % (6211)Memory used [KB]: 1791 1.51/0.68 % (6211)Time elapsed: 0.013 s 1.51/0.68 % (6211)Instructions burned: 21 (million) 1.51/0.68 % (6211)------------------------------ 1.51/0.68 % (6211)------------------------------ 1.51/0.69 % (6213)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_5972 for (1797ds/86Mi) 1.51/0.70 % (6214)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_5972 for (1797ds/107Mi) 1.83/0.71 % (6208)Instruction limit reached! 1.83/0.71 % (6208)------------------------------ 1.83/0.71 % (6208)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.83/0.71 % (6208)Termination reason: Unknown 1.83/0.71 % (6208)Termination phase: Function definition elimination 1.83/0.71 1.83/0.71 % (6208)Memory used [KB]: 2302 1.83/0.71 % (6208)Time elapsed: 0.049 s 1.83/0.71 % (6208)Instructions burned: 100 (million) 1.83/0.71 % (6208)------------------------------ 1.83/0.71 % (6208)------------------------------ 1.83/0.73 % (6213)Instruction limit reached! 1.83/0.73 % (6213)------------------------------ 1.83/0.73 % (6213)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.83/0.73 % (6213)Termination reason: Unknown 1.83/0.73 % (6213)Termination phase: Property scanning 1.83/0.73 1.83/0.73 % (6213)Memory used [KB]: 2302 1.83/0.73 % (6213)Time elapsed: 0.045 s 1.83/0.73 % (6213)Instructions burned: 86 (million) 1.83/0.73 % (6213)------------------------------ 1.83/0.73 % (6213)------------------------------ 1.83/0.73 % (6215)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_5972 for (1797ds/39Mi) 1.83/0.75 % (6207)Instruction limit reached! 1.83/0.75 % (6207)------------------------------ 1.83/0.75 % (6207)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.83/0.75 % (6207)Termination reason: Unknown 1.83/0.75 % (6207)Termination phase: Function definition elimination 1.83/0.75 1.83/0.75 % (6207)Memory used [KB]: 2430 1.83/0.75 % (6207)Time elapsed: 0.066 s 1.83/0.75 % (6207)Instructions burned: 127 (million) 1.83/0.75 % (6207)------------------------------ 1.83/0.75 % (6207)------------------------------ 1.83/0.75 % (6216)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_5972 for (1796ds/448Mi) 1.83/0.75 % (6214)Instruction limit reached! 1.83/0.75 % (6214)------------------------------ 1.83/0.75 % (6214)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.83/0.75 % (6214)Termination reason: Unknown 1.83/0.75 % (6214)Termination phase: Property scanning 1.83/0.75 1.83/0.75 % (6214)Memory used [KB]: 2302 1.83/0.75 % (6214)Time elapsed: 0.054 s 1.83/0.75 % (6214)Instructions burned: 108 (million) 1.83/0.75 % (6214)------------------------------ 1.83/0.75 % (6214)------------------------------ 1.83/0.76 % (6215)Instruction limit reached! 1.83/0.76 % (6215)------------------------------ 1.83/0.76 % (6215)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 1.83/0.76 % (6215)Termination reason: Unknown 1.83/0.76 % (6215)Termination phase: Property scanning 1.83/0.76 1.83/0.76 % (6215)Memory used [KB]: 2302 1.83/0.76 % (6215)Time elapsed: 0.015 s 1.83/0.76 % (6215)Instructions burned: 41 (million) 1.83/0.76 % (6215)------------------------------ 1.83/0.76 % (6215)------------------------------ 1.83/0.76 % (6221)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_5972 for (1796ds/46Mi) 2.30/0.77 % (6227)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_5972 for (1796ds/98Mi) 2.30/0.77 % (6241)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_5972 for (1796ds/507Mi) 2.30/0.78 % (6221)Instruction limit reached! 2.30/0.78 % (6221)------------------------------ 2.30/0.78 % (6221)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.78 % (6221)Termination reason: Unknown 2.30/0.78 % (6221)Termination phase: Property scanning 2.30/0.78 2.30/0.78 % (6221)Memory used [KB]: 2174 2.30/0.78 % (6221)Time elapsed: 0.021 s 2.30/0.78 % (6221)Instructions burned: 47 (million) 2.30/0.78 % (6221)------------------------------ 2.30/0.78 % (6221)------------------------------ 2.30/0.79 % (6272)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_5972 for (1796ds/149Mi) 2.30/0.82 % (6227)Instruction limit reached! 2.30/0.82 % (6227)------------------------------ 2.30/0.82 % (6227)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.82 % (6227)Termination reason: Unknown 2.30/0.82 % (6227)Termination phase: Function definition elimination 2.30/0.82 2.30/0.82 % (6227)Memory used [KB]: 2302 2.30/0.82 % (6227)Time elapsed: 0.047 s 2.30/0.82 % (6227)Instructions burned: 98 (million) 2.30/0.82 % (6227)------------------------------ 2.30/0.82 % (6227)------------------------------ 2.30/0.83 % (6170)Instruction limit reached! 2.30/0.83 % (6170)------------------------------ 2.30/0.83 % (6170)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.83 % (6170)Termination reason: Unknown 2.30/0.83 % (6170)Termination phase: Function definition elimination 2.30/0.83 2.30/0.83 % (6170)Memory used [KB]: 2430 2.30/0.83 % (6170)Time elapsed: 0.333 s 2.30/0.83 % (6170)Instructions burned: 1042 (million) 2.30/0.83 % (6170)------------------------------ 2.30/0.83 % (6170)------------------------------ 2.30/0.84 % (6277)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on E---3.1_5972 for (1796ds/39Mi) 2.30/0.84 % (6278)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on E---3.1_5972 for (1796ds/6Mi) 2.30/0.84 % (6272)Instruction limit reached! 2.30/0.84 % (6272)------------------------------ 2.30/0.84 % (6272)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.84 % (6272)Termination reason: Unknown 2.30/0.84 % (6272)Termination phase: Function definition elimination 2.30/0.84 2.30/0.84 % (6272)Memory used [KB]: 2430 2.30/0.84 % (6272)Time elapsed: 0.046 s 2.30/0.84 % (6272)Instructions burned: 150 (million) 2.30/0.85 % (6272)------------------------------ 2.30/0.85 % (6272)------------------------------ 2.30/0.85 % (6278)Instruction limit reached! 2.30/0.85 % (6278)------------------------------ 2.30/0.85 % (6278)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.85 % (6278)Termination reason: Unknown 2.30/0.85 % (6278)Termination phase: shuffling 2.30/0.85 2.30/0.85 % (6278)Memory used [KB]: 1663 2.30/0.85 % (6278)Time elapsed: 0.006 s 2.30/0.85 % (6278)Instructions burned: 7 (million) 2.30/0.85 % (6278)------------------------------ 2.30/0.85 % (6278)------------------------------ 2.30/0.85 % (6277)Instruction limit reached! 2.30/0.85 % (6277)------------------------------ 2.30/0.85 % (6277)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.30/0.85 % (6277)Termination reason: Unknown 2.30/0.85 % (6277)Termination phase: Property scanning 2.30/0.85 2.30/0.85 % (6277)Memory used [KB]: 2174 2.30/0.85 % (6277)Time elapsed: 0.015 s 2.30/0.85 % (6277)Instructions burned: 41 (million) 2.30/0.85 % (6277)------------------------------ 2.30/0.85 % (6277)------------------------------ 2.73/0.86 % (6279)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/1087Mi) 2.73/0.86 % (6280)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/47Mi) 2.73/0.87 % (6281)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/44Mi) 2.73/0.89 % (6280)Instruction limit reached! 2.73/0.89 % (6280)------------------------------ 2.73/0.89 % (6280)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.73/0.89 % (6280)Termination reason: Unknown 2.73/0.89 % (6280)Termination phase: Property scanning 2.73/0.89 2.73/0.89 % (6280)Memory used [KB]: 2174 2.73/0.89 % (6280)Time elapsed: 0.026 s 2.73/0.89 % (6280)Instructions burned: 48 (million) 2.73/0.89 % (6280)------------------------------ 2.73/0.89 % (6280)------------------------------ 2.73/0.89 % (6281)Instruction limit reached! 2.73/0.89 % (6281)------------------------------ 2.73/0.89 % (6281)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.73/0.89 % (6281)Termination reason: Unknown 2.73/0.89 % (6281)Termination phase: Property scanning 2.73/0.89 2.73/0.89 % (6281)Memory used [KB]: 2302 2.73/0.89 % (6281)Time elapsed: 0.024 s 2.73/0.89 % (6281)Instructions burned: 44 (million) 2.73/0.89 % (6281)------------------------------ 2.73/0.89 % (6281)------------------------------ 2.84/0.90 % (6287)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/432Mi) 2.84/0.90 % (6288)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/62Mi) 2.84/0.91 % (6279)Refutation not found, incomplete strategy 2.84/0.91 % (6279)------------------------------ 2.84/0.91 % (6279)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.84/0.91 % (6279)Termination reason: Refutation not found, incomplete strategy 2.84/0.91 2.84/0.91 2.84/0.91 % (6279)Memory used [KB]: 6908 2.84/0.91 % (6279)Time elapsed: 0.077 s 2.84/0.91 % (6279)Instructions burned: 139 (million) 2.84/0.91 % (6279)------------------------------ 2.84/0.91 % (6279)------------------------------ 2.84/0.91 % (6179)Instruction limit reached! 2.84/0.91 % (6179)------------------------------ 2.84/0.91 % (6179)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 2.84/0.91 % (6179)Termination reason: Unknown 2.84/0.91 % (6179)Termination phase: Saturation 2.84/0.91 2.84/0.91 % (6179)Memory used [KB]: 7547 2.84/0.91 % (6179)Time elapsed: 0.371 s 2.84/0.91 % (6179)Instructions burned: 711 (million) 2.84/0.91 % (6179)------------------------------ 2.84/0.91 % (6179)------------------------------ 2.84/0.92 % (6294)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_5972 for (1795ds/31Mi) 3.01/0.93 % (6294)Instruction limit reached! 3.01/0.93 % (6294)------------------------------ 3.01/0.93 % (6294)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.01/0.93 % (6294)Termination reason: Unknown 3.01/0.93 % (6294)Termination phase: shuffling 3.01/0.93 3.01/0.93 % (6294)Memory used [KB]: 2046 3.01/0.93 % (6294)Time elapsed: 0.012 s 3.01/0.93 % (6294)Instructions burned: 32 (million) 3.01/0.93 % (6294)------------------------------ 3.01/0.93 % (6294)------------------------------ 3.03/0.93 % (6288)Instruction limit reached! 3.03/0.93 % (6288)------------------------------ 3.03/0.93 % (6288)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.93 % (6288)Termination reason: Unknown 3.03/0.93 % (6288)Termination phase: Property scanning 3.03/0.93 3.03/0.93 % (6288)Memory used [KB]: 2302 3.03/0.93 % (6288)Time elapsed: 0.032 s 3.03/0.93 % (6288)Instructions burned: 63 (million) 3.03/0.93 % (6288)------------------------------ 3.03/0.93 % (6288)------------------------------ 3.03/0.94 % (6295)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/96Mi) 3.03/0.94 % (6296)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/453Mi) 3.03/0.95 % (6216)Instruction limit reached! 3.03/0.95 % (6216)------------------------------ 3.03/0.95 % (6216)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.95 % (6216)Termination reason: Unknown 3.03/0.95 % (6216)Termination phase: Saturation 3.03/0.95 3.03/0.95 % (6216)Memory used [KB]: 7547 3.03/0.95 % (6216)Time elapsed: 0.202 s 3.03/0.95 % (6216)Instructions burned: 449 (million) 3.03/0.95 % (6216)------------------------------ 3.03/0.95 % (6216)------------------------------ 3.03/0.95 % (6241)Instruction limit reached! 3.03/0.95 % (6241)------------------------------ 3.03/0.95 % (6241)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.95 % (6241)Termination reason: Unknown 3.03/0.95 % (6241)Termination phase: Function definition elimination 3.03/0.95 3.03/0.95 % (6241)Memory used [KB]: 2430 3.03/0.95 % (6241)Time elapsed: 0.178 s 3.03/0.95 % (6241)Instructions burned: 508 (million) 3.03/0.95 % (6241)------------------------------ 3.03/0.95 % (6241)------------------------------ 3.03/0.95 % (6297)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/71Mi) 3.03/0.95 % (6186)Instruction limit reached! 3.03/0.95 % (6186)------------------------------ 3.03/0.95 % (6186)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.95 % (6186)Termination reason: Unknown 3.03/0.95 % (6186)Termination phase: Saturation 3.03/0.95 3.03/0.95 % (6186)Memory used [KB]: 9210 3.03/0.95 % (6186)Time elapsed: 0.390 s 3.03/0.95 % (6186)Instructions burned: 779 (million) 3.03/0.95 % (6186)------------------------------ 3.03/0.95 % (6186)------------------------------ 3.03/0.96 % (6299)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/11Mi) 3.03/0.96 % (6298)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/83Mi) 3.03/0.97 % (6295)Instruction limit reached! 3.03/0.97 % (6295)------------------------------ 3.03/0.97 % (6295)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.97 % (6295)Termination reason: Unknown 3.03/0.97 % (6295)Termination phase: Function definition elimination 3.03/0.97 3.03/0.97 % (6295)Memory used [KB]: 2302 3.03/0.97 % (6295)Time elapsed: 0.031 s 3.03/0.97 % (6295)Instructions burned: 100 (million) 3.03/0.97 % (6295)------------------------------ 3.03/0.97 % (6295)------------------------------ 3.03/0.97 % (6299)Instruction limit reached! 3.03/0.97 % (6299)------------------------------ 3.03/0.97 % (6299)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.97 % (6299)Termination reason: Unknown 3.03/0.97 % (6299)Termination phase: shuffling 3.03/0.97 3.03/0.97 % (6299)Memory used [KB]: 1791 3.03/0.97 % (6299)Time elapsed: 0.008 s 3.03/0.97 % (6299)Instructions burned: 12 (million) 3.03/0.97 % (6299)------------------------------ 3.03/0.97 % (6299)------------------------------ 3.03/0.98 % (6301)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/6Mi) 3.03/0.98 % (6300)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/41Mi) 3.03/0.98 % (6301)Instruction limit reached! 3.03/0.98 % (6301)------------------------------ 3.03/0.98 % (6301)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.98 % (6301)Termination reason: Unknown 3.03/0.98 % (6301)Termination phase: shuffling 3.03/0.98 3.03/0.98 % (6301)Memory used [KB]: 1663 3.03/0.98 % (6301)Time elapsed: 0.004 s 3.03/0.98 % (6301)Instructions burned: 7 (million) 3.03/0.98 % (6301)------------------------------ 3.03/0.98 % (6301)------------------------------ 3.03/0.98 % (6302)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/150Mi) 3.03/0.98 % (6297)Instruction limit reached! 3.03/0.98 % (6297)------------------------------ 3.03/0.98 % (6297)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/0.98 % (6297)Termination reason: Unknown 3.03/0.98 % (6297)Termination phase: Property scanning 3.03/0.98 3.03/0.98 % (6297)Memory used [KB]: 2302 3.03/0.98 % (6297)Time elapsed: 0.036 s 3.03/0.98 % (6297)Instructions burned: 73 (million) 3.03/0.98 % (6297)------------------------------ 3.03/0.98 % (6297)------------------------------ 3.03/0.99 % (6303)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/343Mi) 3.03/1.00 % (6300)Instruction limit reached! 3.03/1.00 % (6300)------------------------------ 3.03/1.00 % (6300)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/1.00 % (6300)Termination reason: Unknown 3.03/1.00 % (6300)Termination phase: Property scanning 3.03/1.00 3.03/1.00 % (6300)Memory used [KB]: 2302 3.03/1.00 % (6300)Time elapsed: 0.021 s 3.03/1.00 % (6300)Instructions burned: 41 (million) 3.03/1.00 % (6300)------------------------------ 3.03/1.00 % (6300)------------------------------ 3.03/1.00 % (6304)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/109Mi) 3.03/1.00 % (6298)Instruction limit reached! 3.03/1.00 % (6298)------------------------------ 3.03/1.00 % (6298)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.03/1.00 % (6298)Termination reason: Unknown 3.03/1.00 % (6298)Termination phase: Property scanning 3.03/1.00 3.03/1.00 % (6298)Memory used [KB]: 2174 3.03/1.00 % (6298)Time elapsed: 0.039 s 3.03/1.00 % (6298)Instructions burned: 83 (million) 3.03/1.00 % (6298)------------------------------ 3.03/1.00 % (6298)------------------------------ 3.72/1.01 % (6305)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/253Mi) 3.72/1.02 % (6306)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on E---3.1_5972 for (1794ds/140Mi) 3.72/1.04 % (6302)Instruction limit reached! 3.72/1.04 % (6302)------------------------------ 3.72/1.04 % (6302)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.72/1.04 % (6302)Termination reason: Unknown 3.72/1.04 % (6302)Termination phase: Function definition elimination 3.72/1.04 3.72/1.04 % (6302)Memory used [KB]: 2430 3.72/1.04 % (6302)Time elapsed: 0.061 s 3.72/1.04 % (6302)Instructions burned: 151 (million) 3.72/1.04 % (6302)------------------------------ 3.72/1.04 % (6302)------------------------------ 3.72/1.05 % (6305)Refutation not found, incomplete strategy 3.72/1.05 % (6305)------------------------------ 3.72/1.05 % (6305)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.72/1.05 % (6305)Termination reason: Refutation not found, incomplete strategy 3.72/1.05 3.72/1.05 3.72/1.05 % (6305)Memory used [KB]: 6780 3.72/1.05 % (6305)Time elapsed: 0.039 s 3.72/1.05 % (6305)Instructions burned: 78 (million) 3.72/1.05 % (6305)------------------------------ 3.72/1.05 % (6305)------------------------------ 3.72/1.05 % (6304)Instruction limit reached! 3.72/1.05 % (6304)------------------------------ 3.72/1.05 % (6304)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.72/1.05 % (6304)Termination reason: Unknown 3.72/1.05 % (6304)Termination phase: Function definition elimination 3.72/1.05 3.72/1.05 % (6304)Memory used [KB]: 2302 3.72/1.05 % (6304)Time elapsed: 0.052 s 3.72/1.05 % (6304)Instructions burned: 109 (million) 3.72/1.05 % (6304)------------------------------ 3.72/1.05 % (6304)------------------------------ 3.72/1.06 % (6306)Refutation not found, incomplete strategy 3.72/1.06 % (6306)------------------------------ 3.72/1.06 % (6306)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.72/1.06 % (6306)Termination reason: Refutation not found, incomplete strategy 3.72/1.06 3.72/1.06 3.72/1.06 % (6306)Memory used [KB]: 6780 3.72/1.06 % (6306)Time elapsed: 0.043 s 3.72/1.06 % (6306)Instructions burned: 88 (million) 3.72/1.06 % (6306)------------------------------ 3.72/1.06 % (6306)------------------------------ 3.72/1.06 % (6307)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/614Mi) 3.72/1.06 % (6287)Instruction limit reached! 3.72/1.06 % (6287)------------------------------ 3.72/1.06 % (6287)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 3.72/1.06 % (6287)Termination reason: Unknown 3.72/1.06 % (6287)Termination phase: Function definition elimination 3.72/1.06 3.72/1.06 % (6287)Memory used [KB]: 2430 3.72/1.06 % (6287)Time elapsed: 0.156 s 3.72/1.06 % (6287)Instructions burned: 433 (million) 3.72/1.06 % (6287)------------------------------ 3.72/1.06 % (6287)------------------------------ 3.72/1.06 % (6309)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/339Mi) 3.72/1.06 % (6308)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/202Mi) 4.14/1.07 % (6311)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/134Mi) 4.14/1.08 % (6310)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/283Mi) 4.14/1.09 % (6296)Instruction limit reached! 4.14/1.09 % (6296)------------------------------ 4.14/1.09 % (6296)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.14/1.09 % (6296)Termination reason: Unknown 4.14/1.09 % (6296)Termination phase: Function definition elimination 4.14/1.09 4.14/1.09 % (6296)Memory used [KB]: 2430 4.14/1.09 % (6296)Time elapsed: 0.150 s 4.14/1.09 % (6296)Instructions burned: 456 (million) 4.14/1.09 % (6296)------------------------------ 4.14/1.09 % (6296)------------------------------ 4.14/1.11 % (6308)Refutation not found, incomplete strategy 4.14/1.11 % (6308)------------------------------ 4.14/1.11 % (6308)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.14/1.11 % (6303)Instruction limit reached! 4.14/1.11 % (6303)------------------------------ 4.14/1.11 % (6303)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.14/1.11 % (6303)Termination reason: Unknown 4.14/1.11 % (6303)Termination phase: Saturation 4.14/1.11 4.14/1.11 % (6303)Memory used [KB]: 7419 4.14/1.11 % (6303)Time elapsed: 0.116 s 4.14/1.11 % (6303)Instructions burned: 344 (million) 4.14/1.11 % (6303)------------------------------ 4.14/1.11 % (6303)------------------------------ 4.14/1.11 % (6308)Termination reason: Refutation not found, incomplete strategy 4.14/1.11 4.14/1.11 4.14/1.11 % (6308)Memory used [KB]: 6780 4.14/1.11 % (6308)Time elapsed: 0.043 s 4.14/1.11 % (6308)Instructions burned: 91 (million) 4.14/1.11 % (6308)------------------------------ 4.14/1.11 % (6308)------------------------------ 4.14/1.11 % (6312)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/298Mi) 4.14/1.12 % (6313)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/192Mi) 4.14/1.12 % (6314)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on E---3.1_5972 for (1793ds/258Mi) 4.14/1.13 % (6311)Instruction limit reached! 4.14/1.13 % (6311)------------------------------ 4.14/1.13 % (6311)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 4.14/1.13 % (6311)Termination reason: Unknown 4.14/1.13 % (6311)Termination phase: Function definition elimination 4.14/1.13 4.14/1.13 % (6311)Memory used [KB]: 2430 4.14/1.13 % (6311)Time elapsed: 0.057 s 4.14/1.13 % (6311)Instructions burned: 136 (million) 4.14/1.13 % (6311)------------------------------ 4.14/1.13 % (6311)------------------------------ 4.14/1.15 % (6315)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/90Mi) 5.08/1.17 % (6310)Instruction limit reached! 5.08/1.17 % (6310)------------------------------ 5.08/1.17 % (6310)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.08/1.17 % (6310)Termination reason: Unknown 5.08/1.17 % (6310)Termination phase: Function definition elimination 5.08/1.17 5.08/1.17 % (6310)Memory used [KB]: 2430 5.08/1.17 % (6310)Time elapsed: 0.099 s 5.08/1.17 % (6310)Instructions burned: 285 (million) 5.08/1.17 % (6310)------------------------------ 5.08/1.17 % (6310)------------------------------ 5.08/1.17 % (6313)Instruction limit reached! 5.08/1.17 % (6313)------------------------------ 5.08/1.17 % (6313)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.08/1.17 % (6313)Termination reason: Unknown 5.08/1.17 % (6313)Termination phase: Function definition elimination 5.08/1.17 5.08/1.17 % (6313)Memory used [KB]: 2430 5.08/1.17 % (6313)Time elapsed: 0.047 s 5.08/1.17 % (6313)Instructions burned: 193 (million) 5.08/1.17 % (6313)------------------------------ 5.08/1.17 % (6313)------------------------------ 5.08/1.18 % (6309)Instruction limit reached! 5.08/1.18 % (6309)------------------------------ 5.08/1.18 % (6309)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.08/1.18 % (6309)Termination reason: Unknown 5.08/1.18 % (6309)Termination phase: Function definition elimination 5.08/1.18 5.08/1.18 % (6309)Memory used [KB]: 2430 5.08/1.18 % (6309)Time elapsed: 0.117 s 5.08/1.18 % (6309)Instructions burned: 341 (million) 5.08/1.18 % (6309)------------------------------ 5.08/1.18 % (6309)------------------------------ 5.08/1.18 % (6317)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/458Mi) 5.08/1.19 % (6316)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/231Mi) 5.08/1.19 % (6318)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/31Mi) 5.08/1.19 % (6315)Instruction limit reached! 5.08/1.19 % (6315)------------------------------ 5.08/1.19 % (6315)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.08/1.19 % (6315)Termination reason: Unknown 5.08/1.19 % (6315)Termination phase: Function definition elimination 5.08/1.19 5.08/1.19 % (6315)Memory used [KB]: 2302 5.08/1.19 % (6315)Time elapsed: 0.043 s 5.08/1.19 % (6315)Instructions burned: 90 (million) 5.08/1.19 % (6315)------------------------------ 5.08/1.19 % (6315)------------------------------ 5.26/1.21 % (6312)Instruction limit reached! 5.26/1.21 % (6312)------------------------------ 5.26/1.21 % (6312)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.26/1.21 % (6312)Termination reason: Unknown 5.26/1.21 % (6312)Termination phase: Function definition elimination 5.26/1.21 5.26/1.21 % (6312)Memory used [KB]: 2430 5.26/1.21 % (6312)Time elapsed: 0.102 s 5.26/1.21 % (6312)Instructions burned: 298 (million) 5.26/1.21 % (6312)------------------------------ 5.26/1.21 % (6312)------------------------------ 5.26/1.21 % (6318)Instruction limit reached! 5.26/1.21 % (6318)------------------------------ 5.26/1.21 % (6318)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.26/1.21 % (6318)Termination reason: Unknown 5.26/1.21 % (6318)Termination phase: shuffling 5.26/1.21 5.26/1.21 % (6318)Memory used [KB]: 2046 5.26/1.21 % (6318)Time elapsed: 0.017 s 5.26/1.21 % (6318)Instructions burned: 31 (million) 5.26/1.21 % (6318)------------------------------ 5.26/1.21 % (6318)------------------------------ 5.26/1.21 % (6319)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/297Mi) 5.26/1.22 % (6320)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/987Mi) 5.26/1.22 % (6321)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on E---3.1_5972 for (1792ds/182Mi) 5.37/1.24 % (6314)Instruction limit reached! 5.37/1.24 % (6314)------------------------------ 5.37/1.24 % (6314)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.24 % (6314)Termination reason: Unknown 5.37/1.24 % (6314)Termination phase: Saturation 5.37/1.24 5.37/1.24 % (6314)Memory used [KB]: 7036 5.37/1.24 % (6314)Time elapsed: 0.123 s 5.37/1.24 % (6314)Instructions burned: 258 (million) 5.37/1.24 % (6314)------------------------------ 5.37/1.24 % (6314)------------------------------ 5.37/1.25 % (6307)Instruction limit reached! 5.37/1.25 % (6307)------------------------------ 5.37/1.25 % (6307)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.25 % (6307)Termination reason: Unknown 5.37/1.25 % (6307)Termination phase: Function definition elimination 5.37/1.25 5.37/1.25 % (6307)Memory used [KB]: 2430 5.37/1.25 % (6307)Time elapsed: 0.191 s 5.37/1.25 % (6307)Instructions burned: 615 (million) 5.37/1.25 % (6307)------------------------------ 5.37/1.25 % (6307)------------------------------ 5.37/1.26 % (6322)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on E---3.1_5972 for (1791ds/182Mi) 5.37/1.26 % (6323)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on E---3.1_5972 for (1791ds/154Mi) 5.37/1.27 % (6316)Instruction limit reached! 5.37/1.27 % (6316)------------------------------ 5.37/1.27 % (6316)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.27 % (6316)Termination reason: Unknown 5.37/1.27 % (6316)Termination phase: Function definition elimination 5.37/1.27 5.37/1.27 % (6316)Memory used [KB]: 2430 5.37/1.27 % (6316)Time elapsed: 0.083 s 5.37/1.27 % (6316)Instructions burned: 232 (million) 5.37/1.27 % (6316)------------------------------ 5.37/1.27 % (6316)------------------------------ 5.37/1.28 % (6317)Instruction limit reached! 5.37/1.28 % (6317)------------------------------ 5.37/1.28 % (6317)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.28 % (6317)Termination reason: Unknown 5.37/1.28 % (6317)Termination phase: Function definition elimination 5.37/1.28 5.37/1.28 % (6317)Memory used [KB]: 2430 5.37/1.28 % (6317)Time elapsed: 0.102 s 5.37/1.28 % (6317)Instructions burned: 461 (million) 5.37/1.28 % (6317)------------------------------ 5.37/1.28 % (6317)------------------------------ 5.37/1.28 % (6324)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on E---3.1_5972 for (1791ds/79Mi) 5.37/1.29 % (6321)Instruction limit reached! 5.37/1.29 % (6321)------------------------------ 5.37/1.29 % (6321)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.29 % (6321)Termination reason: Unknown 5.37/1.29 % (6321)Termination phase: Function definition elimination 5.37/1.29 5.37/1.29 % (6321)Memory used [KB]: 2430 5.37/1.29 % (6321)Time elapsed: 0.069 s 5.37/1.29 % (6321)Instructions burned: 182 (million) 5.37/1.29 % (6321)------------------------------ 5.37/1.29 % (6321)------------------------------ 5.37/1.29 % (6325)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on E---3.1_5972 for (1791ds/216Mi) 5.37/1.31 % (6326)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on E---3.1_5972 for (1791ds/114Mi) 5.37/1.32 % (6324)Instruction limit reached! 5.37/1.32 % (6324)------------------------------ 5.37/1.32 % (6324)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.32 % (6324)Termination reason: Unknown 5.37/1.32 % (6324)Termination phase: Property scanning 5.37/1.32 5.37/1.32 % (6324)Memory used [KB]: 2302 5.37/1.32 % (6324)Time elapsed: 0.038 s 5.37/1.32 % (6324)Instructions burned: 79 (million) 5.37/1.32 % (6324)------------------------------ 5.37/1.32 % (6324)------------------------------ 5.37/1.32 % (6323)Instruction limit reached! 5.37/1.32 % (6323)------------------------------ 5.37/1.32 % (6323)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.37/1.32 % (6323)Termination reason: Unknown 5.37/1.32 % (6323)Termination phase: Function definition elimination 5.37/1.32 5.37/1.32 % (6323)Memory used [KB]: 2430 5.37/1.32 % (6323)Time elapsed: 0.061 s 5.37/1.32 % (6323)Instructions burned: 155 (million) 5.37/1.32 % (6323)------------------------------ 5.37/1.32 % (6323)------------------------------ 5.81/1.33 % (6327)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/922Mi) 5.81/1.33 % (6328)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/182Mi) 5.81/1.34 % (6322)Instruction limit reached! 5.81/1.34 % (6322)------------------------------ 5.81/1.34 % (6322)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.81/1.34 % (6322)Termination reason: Unknown 5.81/1.34 % (6322)Termination phase: Saturation 5.81/1.34 5.81/1.34 % (6322)Memory used [KB]: 7036 5.81/1.34 % (6322)Time elapsed: 0.088 s 5.81/1.34 % (6322)Instructions burned: 182 (million) 5.81/1.34 % (6322)------------------------------ 5.81/1.34 % (6322)------------------------------ 5.81/1.35 % (6319)Instruction limit reached! 5.81/1.35 % (6319)------------------------------ 5.81/1.35 % (6319)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.81/1.35 % (6319)Termination reason: Unknown 5.81/1.35 % (6319)Termination phase: Saturation 5.81/1.35 5.81/1.35 % (6319)Memory used [KB]: 7291 5.81/1.35 % (6319)Time elapsed: 0.145 s 5.81/1.35 % (6319)Instructions burned: 298 (million) 5.81/1.35 % (6319)------------------------------ 5.81/1.35 % (6319)------------------------------ 5.81/1.35 % (6326)Instruction limit reached! 5.81/1.35 % (6326)------------------------------ 5.81/1.35 % (6326)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.81/1.35 % (6326)Termination reason: Unknown 5.81/1.35 % (6326)Termination phase: Function definition elimination 5.81/1.35 5.81/1.35 % (6326)Memory used [KB]: 2302 5.81/1.35 % (6326)Time elapsed: 0.050 s 5.81/1.35 % (6326)Instructions burned: 114 (million) 5.81/1.35 % (6326)------------------------------ 5.81/1.35 % (6326)------------------------------ 5.81/1.35 % (6325)Instruction limit reached! 5.81/1.35 % (6325)------------------------------ 5.81/1.35 % (6325)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.81/1.35 % (6325)Termination reason: Unknown 5.81/1.35 % (6325)Termination phase: Saturation 5.81/1.35 5.81/1.35 % (6325)Memory used [KB]: 7291 5.81/1.35 % (6325)Time elapsed: 0.084 s 5.81/1.35 % (6325)Instructions burned: 216 (million) 5.81/1.35 % (6325)------------------------------ 5.81/1.35 % (6325)------------------------------ 5.81/1.36 % (6329)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/164Mi) 5.81/1.36 % (6330)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/50Mi) 5.81/1.37 % (6331)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/368Mi) 5.81/1.37 % (6332)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/1021Mi) 5.81/1.38 % (6330)Instruction limit reached! 5.81/1.38 % (6330)------------------------------ 5.81/1.38 % (6330)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 5.81/1.38 % (6330)Termination reason: Unknown 5.81/1.38 % (6330)Termination phase: Property scanning 5.81/1.38 5.81/1.38 % (6330)Memory used [KB]: 2174 5.81/1.38 % (6330)Time elapsed: 0.015 s 5.81/1.38 % (6330)Instructions burned: 50 (million) 5.81/1.38 % (6330)------------------------------ 5.81/1.38 % (6330)------------------------------ 5.81/1.39 % (6333)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/267Mi) 6.24/1.40 % (6328)Instruction limit reached! 6.24/1.40 % (6328)------------------------------ 6.24/1.40 % (6328)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.24/1.40 % (6328)Termination reason: Unknown 6.24/1.40 % (6328)Termination phase: Function definition elimination 6.24/1.40 6.24/1.40 % (6328)Memory used [KB]: 2430 6.24/1.40 % (6328)Time elapsed: 0.069 s 6.24/1.40 % (6328)Instructions burned: 184 (million) 6.24/1.40 % (6328)------------------------------ 6.24/1.40 % (6328)------------------------------ 6.24/1.41 % (6329)Refutation not found, incomplete strategy 6.24/1.41 % (6329)------------------------------ 6.24/1.41 % (6329)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.24/1.41 % (6329)Termination reason: Refutation not found, incomplete strategy 6.24/1.41 6.24/1.41 6.24/1.41 % (6329)Memory used [KB]: 2302 6.24/1.41 % (6329)Time elapsed: 0.047 s 6.24/1.41 % (6329)Instructions burned: 99 (million) 6.24/1.41 % (6329)------------------------------ 6.24/1.41 % (6329)------------------------------ 6.24/1.41 % (6334)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/204Mi) 6.24/1.42 % (6335)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_5972 for (1790ds/26Mi) 6.24/1.43 % (6335)Instruction limit reached! 6.24/1.43 % (6335)------------------------------ 6.24/1.43 % (6335)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.24/1.43 % (6335)Termination reason: Unknown 6.24/1.43 % (6335)Termination phase: shuffling 6.24/1.43 6.24/1.43 % (6335)Memory used [KB]: 2046 6.24/1.43 % (6335)Time elapsed: 0.014 s 6.24/1.43 % (6335)Instructions burned: 26 (million) 6.24/1.43 % (6335)------------------------------ 6.24/1.43 % (6335)------------------------------ 6.24/1.45 % (6336)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on E---3.1_5972 for (1789ds/53Mi) 6.40/1.47 % (6334)Instruction limit reached! 6.40/1.47 % (6334)------------------------------ 6.40/1.47 % (6334)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.40/1.47 % (6334)Termination reason: Unknown 6.40/1.47 % (6334)Termination phase: Function definition elimination 6.40/1.47 6.40/1.47 % (6334)Memory used [KB]: 2302 6.40/1.47 % (6334)Time elapsed: 0.058 s 6.40/1.47 % (6334)Instructions burned: 207 (million) 6.40/1.47 % (6334)------------------------------ 6.40/1.47 % (6334)------------------------------ 6.40/1.47 % (6336)Instruction limit reached! 6.40/1.47 % (6336)------------------------------ 6.40/1.47 % (6336)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.40/1.47 % (6333)Instruction limit reached! 6.40/1.47 % (6333)------------------------------ 6.40/1.47 % (6333)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.40/1.47 % (6333)Termination reason: Unknown 6.40/1.47 % (6333)Termination phase: Function definition elimination 6.40/1.47 6.40/1.47 % (6333)Memory used [KB]: 2430 6.40/1.47 % (6333)Time elapsed: 0.089 s 6.40/1.47 % (6333)Instructions burned: 269 (million) 6.40/1.47 % (6333)------------------------------ 6.40/1.47 % (6333)------------------------------ 6.40/1.47 % (6336)Termination reason: Unknown 6.40/1.47 % (6336)Termination phase: Property scanning 6.40/1.47 6.40/1.47 % (6336)Memory used [KB]: 2302 6.40/1.47 % (6336)Time elapsed: 0.025 s 6.40/1.47 % (6336)Instructions burned: 54 (million) 6.40/1.47 % (6336)------------------------------ 6.40/1.47 % (6336)------------------------------ 6.40/1.48 % (6337)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on E---3.1_5972 for (1789ds/4436Mi) 6.40/1.49 % (6339)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on E---3.1_5972 for (1789ds/408Mi) 6.40/1.49 % (6338)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on E---3.1_5972 for (1789ds/1539Mi) 6.40/1.49 % (6331)Instruction limit reached! 6.40/1.49 % (6331)------------------------------ 6.40/1.49 % (6331)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.40/1.49 % (6331)Termination reason: Unknown 6.40/1.49 % (6331)Termination phase: Function definition elimination 6.40/1.49 6.40/1.49 % (6331)Memory used [KB]: 2430 6.40/1.49 % (6331)Time elapsed: 0.124 s 6.40/1.49 % (6331)Instructions burned: 370 (million) 6.40/1.49 % (6331)------------------------------ 6.40/1.49 % (6331)------------------------------ 6.73/1.50 % (6340)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on E---3.1_5972 for (1789ds/5205Mi) 6.73/1.52 % (6337)Refutation not found, incomplete strategy 6.73/1.52 % (6337)------------------------------ 6.73/1.52 % (6337)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.73/1.52 % (6337)Termination reason: Refutation not found, incomplete strategy 6.73/1.52 6.73/1.52 6.73/1.52 % (6337)Memory used [KB]: 6908 6.73/1.52 % (6337)Time elapsed: 0.042 s 6.73/1.52 % (6337)Instructions burned: 139 (million) 6.73/1.52 % (6337)------------------------------ 6.73/1.52 % (6337)------------------------------ 6.73/1.52 % (6320)Instruction limit reached! 6.73/1.52 % (6320)------------------------------ 6.73/1.52 % (6320)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 6.73/1.52 % (6320)Termination reason: Unknown 6.73/1.52 % (6320)Termination phase: Function definition elimination 6.73/1.52 6.73/1.52 % (6320)Memory used [KB]: 2430 6.73/1.52 % (6320)Time elapsed: 0.297 s 6.73/1.52 % (6320)Instructions burned: 989 (million) 6.73/1.52 % (6320)------------------------------ 6.73/1.52 % (6320)------------------------------ 6.73/1.53 % (6341)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on E---3.1_5972 for (1788ds/1913Mi) 6.73/1.53 % (6342)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on E---3.1_5972 for (1788ds/4350Mi) 7.10/1.60 % (6327)Instruction limit reached! 7.10/1.60 % (6327)------------------------------ 7.10/1.60 % (6327)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 7.10/1.60 % (6327)Termination reason: Unknown 7.10/1.60 % (6327)Termination phase: Function definition elimination 7.10/1.60 7.10/1.60 % (6327)Memory used [KB]: 2430 7.10/1.60 % (6327)Time elapsed: 0.270 s 7.10/1.60 % (6327)Instructions burned: 927 (million) 7.10/1.60 % (6327)------------------------------ 7.10/1.60 % (6327)------------------------------ 7.10/1.61 % (6343)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on E---3.1_5972 for (1788ds/68Mi) 7.10/1.63 % (6343)Instruction limit reached! 7.10/1.63 % (6343)------------------------------ 7.10/1.63 % (6343)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 7.38/1.63 % (6343)Termination reason: Unknown 7.38/1.63 % (6343)Termination phase: SInE selection 7.38/1.63 7.38/1.63 % (6343)Memory used [KB]: 2174 7.38/1.63 % (6343)Time elapsed: 0.022 s 7.38/1.63 % (6343)Instructions burned: 71 (million) 7.38/1.63 % (6343)------------------------------ 7.38/1.63 % (6343)------------------------------ 7.38/1.65 % (6344)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on E---3.1_5972 for (1787ds/358Mi) 7.38/1.66 % (6332)Instruction limit reached! 7.38/1.66 % (6332)------------------------------ 7.38/1.66 % (6332)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 7.38/1.66 % (6332)Termination reason: Unknown 7.38/1.66 % (6332)Termination phase: Function definition elimination 7.38/1.66 7.38/1.66 % (6332)Memory used [KB]: 2430 7.38/1.66 % (6332)Time elapsed: 0.297 s 7.38/1.66 % (6332)Instructions burned: 1021 (million) 7.38/1.66 % (6332)------------------------------ 7.38/1.66 % (6332)------------------------------ 7.38/1.68 % (6339)Instruction limit reached! 7.38/1.68 % (6339)------------------------------ 7.38/1.68 % (6339)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 7.38/1.68 % (6339)Termination reason: Unknown 7.38/1.68 % (6339)Termination phase: Saturation 7.38/1.68 7.38/1.68 % (6339)Memory used [KB]: 7675 7.38/1.68 % (6339)Time elapsed: 0.190 s 7.38/1.68 % (6339)Instructions burned: 409 (million) 7.38/1.68 % (6339)------------------------------ 7.38/1.68 % (6339)------------------------------ 7.38/1.68 % (6345)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on E---3.1_5972 for (1787ds/31Mi) 7.38/1.69 % (6346)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on E---3.1_5972 for (1787ds/279Mi) 7.92/1.70 % (6345)Instruction limit reached! 7.92/1.70 % (6345)------------------------------ 7.92/1.70 % (6345)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 7.92/1.70 % (6345)Termination reason: Unknown 7.92/1.70 % (6345)Termination phase: shuffling 7.92/1.70 7.92/1.70 % (6345)Memory used [KB]: 2046 7.92/1.70 % (6345)Time elapsed: 0.017 s 7.92/1.70 % (6345)Instructions burned: 31 (million) 7.92/1.70 % (6345)------------------------------ 7.92/1.70 % (6345)------------------------------ 7.92/1.71 % (6347)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on E---3.1_5972 for (1787ds/258Mi) 9.34/1.79 % (6347)Instruction limit reached! 9.34/1.79 % (6347)------------------------------ 9.34/1.79 % (6347)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.34/1.79 % (6347)Termination reason: Unknown 9.34/1.79 % (6347)Termination phase: Saturation 9.34/1.79 9.34/1.79 % (6347)Memory used [KB]: 7419 9.34/1.79 % (6347)Time elapsed: 0.078 s 9.34/1.79 % (6347)Instructions burned: 258 (million) 9.34/1.79 % (6347)------------------------------ 9.34/1.79 % (6347)------------------------------ 9.34/1.79 % (6348)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on E---3.1_5972 for (1786ds/26Mi) 9.34/1.80 % (6348)Instruction limit reached! 9.34/1.80 % (6348)------------------------------ 9.34/1.80 % (6348)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.34/1.80 % (6348)Termination reason: Unknown 9.34/1.80 % (6348)Termination phase: shuffling 9.34/1.80 9.34/1.80 % (6348)Memory used [KB]: 2046 9.34/1.80 % (6348)Time elapsed: 0.010 s 9.34/1.80 % (6348)Instructions burned: 29 (million) 9.34/1.80 % (6348)------------------------------ 9.34/1.80 % (6348)------------------------------ 9.34/1.81 % (6344)Instruction limit reached! 9.34/1.81 % (6344)------------------------------ 9.34/1.81 % (6344)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.34/1.81 % (6344)Termination reason: Unknown 9.34/1.81 % (6344)Termination phase: Saturation 9.34/1.81 9.34/1.81 % (6344)Memory used [KB]: 7803 9.34/1.81 % (6344)Time elapsed: 0.159 s 9.34/1.81 % (6344)Instructions burned: 359 (million) 9.34/1.81 % (6344)------------------------------ 9.34/1.81 % (6344)------------------------------ 9.34/1.81 % (6346)Instruction limit reached! 9.34/1.81 % (6346)------------------------------ 9.34/1.81 % (6346)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.34/1.81 % (6346)Termination reason: Unknown 9.34/1.81 % (6346)Termination phase: Saturation 9.34/1.81 9.34/1.81 % (6346)Memory used [KB]: 7675 9.34/1.81 % (6346)Time elapsed: 0.119 s 9.34/1.81 % (6346)Instructions burned: 279 (million) 9.34/1.81 % (6346)------------------------------ 9.34/1.81 % (6346)------------------------------ 9.34/1.81 % (6349)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on E---3.1_5972 for (1786ds/995Mi) 9.34/1.82 % (6350)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on E---3.1_5972 for (1786ds/373Mi) 9.34/1.82 % (6351)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on E---3.1_5972 for (1786ds/253Mi) 9.67/1.91 % (6351)Instruction limit reached! 9.67/1.91 % (6351)------------------------------ 9.67/1.91 % (6351)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.67/1.91 % (6351)Termination reason: Unknown 9.67/1.91 % (6351)Termination phase: Function definition elimination 9.67/1.91 9.67/1.91 % (6351)Memory used [KB]: 2430 9.67/1.91 % (6351)Time elapsed: 0.089 s 9.67/1.91 % (6351)Instructions burned: 256 (million) 9.67/1.91 % (6351)------------------------------ 9.67/1.91 % (6351)------------------------------ 9.67/1.91 % (6338)Instruction limit reached! 9.67/1.91 % (6338)------------------------------ 9.67/1.91 % (6338)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 9.67/1.91 % (6338)Termination reason: Unknown 9.67/1.91 % (6338)Termination phase: Function definition elimination 9.67/1.91 9.67/1.91 % (6338)Memory used [KB]: 2558 9.67/1.91 % (6338)Time elapsed: 0.423 s 9.67/1.91 % (6338)Instructions burned: 1539 (million) 9.67/1.91 % (6338)------------------------------ 9.67/1.91 % (6338)------------------------------ 10.09/1.92 % (6353)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on E---3.1_5972 for (1785ds/668Mi) 10.09/1.92 % (6350)Instruction limit reached! 10.09/1.92 % (6350)------------------------------ 10.09/1.92 % (6350)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.09/1.92 % (6352)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on E---3.1_5972 for (1785ds/832Mi) 10.09/1.92 % (6350)Termination reason: Unknown 10.09/1.92 % (6350)Termination phase: Function definition elimination 10.09/1.92 10.09/1.92 % (6350)Memory used [KB]: 2430 10.09/1.92 % (6350)Time elapsed: 0.105 s 10.09/1.92 % (6350)Instructions burned: 373 (million) 10.09/1.92 % (6350)------------------------------ 10.09/1.92 % (6350)------------------------------ 10.09/1.94 % (6354)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on E---3.1_5972 for (1785ds/40Mi) 10.09/1.95 % (6354)Instruction limit reached! 10.09/1.95 % (6354)------------------------------ 10.09/1.95 % (6354)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.09/1.95 % (6354)Termination reason: Unknown 10.09/1.95 % (6354)Termination phase: Property scanning 10.09/1.95 10.09/1.95 % (6354)Memory used [KB]: 2302 10.09/1.95 % (6354)Time elapsed: 0.015 s 10.09/1.95 % (6354)Instructions burned: 43 (million) 10.09/1.95 % (6354)------------------------------ 10.09/1.95 % (6354)------------------------------ 10.09/1.96 % (6355)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on E---3.1_5972 for (1784ds/294Mi) 10.37/1.97 % (6352)Refutation not found, incomplete strategy 10.37/1.97 % (6352)------------------------------ 10.37/1.97 % (6352)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.37/1.97 % (6352)Termination reason: Refutation not found, incomplete strategy 10.37/1.97 10.37/1.97 10.37/1.97 % (6352)Memory used [KB]: 7164 10.37/1.97 % (6352)Time elapsed: 0.051 s 10.37/1.97 % (6352)Instructions burned: 137 (million) 10.37/1.97 % (6352)------------------------------ 10.37/1.97 % (6352)------------------------------ 10.37/1.98 % (6358)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on E---3.1_5972 for (1784ds/187Mi) 10.37/2.05 % (6355)Instruction limit reached! 10.37/2.05 % (6355)------------------------------ 10.37/2.05 % (6355)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.37/2.05 % (6355)Termination reason: Unknown 10.37/2.05 % (6355)Termination phase: Saturation 10.37/2.05 10.37/2.05 % (6355)Memory used [KB]: 7164 10.37/2.05 % (6355)Time elapsed: 0.092 s 10.37/2.05 % (6355)Instructions burned: 294 (million) 10.37/2.05 % (6355)------------------------------ 10.37/2.05 % (6355)------------------------------ 10.82/2.06 % (6358)Instruction limit reached! 10.82/2.06 % (6358)------------------------------ 10.82/2.06 % (6358)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.82/2.06 % (6358)Termination reason: Unknown 10.82/2.06 % (6358)Termination phase: Function definition elimination 10.82/2.06 10.82/2.06 % (6358)Memory used [KB]: 2430 10.82/2.06 % (6358)Time elapsed: 0.073 s 10.82/2.06 % (6358)Instructions burned: 188 (million) 10.82/2.06 % (6358)------------------------------ 10.82/2.06 % (6358)------------------------------ 10.82/2.06 % (6416)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on E---3.1_5972 for (1783ds/371Mi) 10.82/2.07 % (6417)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on E---3.1_5972 for (1783ds/1827Mi) 10.96/2.09 % (6349)Instruction limit reached! 10.96/2.09 % (6349)------------------------------ 10.96/2.09 % (6349)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.96/2.09 % (6349)Termination reason: Unknown 10.96/2.09 % (6349)Termination phase: Function definition elimination 10.96/2.09 10.96/2.09 % (6349)Memory used [KB]: 2430 10.96/2.09 % (6349)Time elapsed: 0.279 s 10.96/2.09 % (6349)Instructions burned: 996 (million) 10.96/2.09 % (6349)------------------------------ 10.96/2.09 % (6349)------------------------------ 10.96/2.10 % (6421)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on E---3.1_5972 for (1783ds/70Mi) 10.96/2.11 % (6353)Instruction limit reached! 10.96/2.11 % (6353)------------------------------ 10.96/2.11 % (6353)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 10.96/2.11 % (6353)Termination reason: Unknown 10.96/2.11 % (6353)Termination phase: Function definition elimination 10.96/2.11 10.96/2.11 % (6353)Memory used [KB]: 2430 10.96/2.11 % (6353)Time elapsed: 0.192 s 10.96/2.11 % (6353)Instructions burned: 669 (million) 10.96/2.11 % (6353)------------------------------ 10.96/2.11 % (6353)------------------------------ 10.96/2.12 % (6423)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on E---3.1_5972 for (1783ds/316Mi) 11.57/2.14 % (6421)Instruction limit reached! 11.57/2.14 % (6421)------------------------------ 11.57/2.14 % (6421)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 11.57/2.14 % (6421)Termination reason: Unknown 11.57/2.14 % (6421)Termination phase: Property scanning 11.57/2.14 11.57/2.14 % (6421)Memory used [KB]: 2302 11.57/2.14 % (6421)Time elapsed: 0.034 s 11.57/2.14 % (6421)Instructions burned: 70 (million) 11.57/2.14 % (6421)------------------------------ 11.57/2.14 % (6421)------------------------------ 11.67/2.15 % (6424)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on E---3.1_5972 for (1782ds/932Mi) 11.67/2.17 % (6416)Refutation not found, incomplete strategy 11.67/2.17 % (6416)------------------------------ 11.67/2.17 % (6416)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 11.67/2.17 % (6416)Termination reason: Refutation not found, incomplete strategy 11.67/2.17 11.67/2.17 11.67/2.17 % (6416)Memory used [KB]: 6908 11.67/2.17 % (6416)Time elapsed: 0.111 s 11.67/2.17 % (6416)Instructions burned: 265 (million) 11.67/2.17 % (6416)------------------------------ 11.67/2.17 % (6416)------------------------------ 11.67/2.19 % (6431)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on E---3.1_5972 for (1782ds/4714Mi) 11.67/2.19 % (6423)Instruction limit reached! 11.67/2.19 % (6423)------------------------------ 11.67/2.19 % (6423)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 11.67/2.19 % (6423)Termination reason: Unknown 11.67/2.19 % (6423)Termination phase: Function definition elimination 11.67/2.19 11.67/2.19 % (6423)Memory used [KB]: 2430 11.67/2.19 % (6423)Time elapsed: 0.069 s 11.67/2.19 % (6423)Instructions burned: 319 (million) 11.67/2.19 % (6423)------------------------------ 11.67/2.19 % (6423)------------------------------ 11.67/2.20 % (6438)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on E---3.1_5972 for (1782ds/8250Mi) 12.87/2.34 % (6341)Instruction limit reached! 12.87/2.34 % (6341)------------------------------ 12.87/2.34 % (6341)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 12.87/2.34 % (6341)Termination reason: Unknown 12.87/2.34 % (6341)Termination phase: Saturation 12.87/2.34 12.87/2.34 % (6341)Memory used [KB]: 4477 12.87/2.34 % (6341)Time elapsed: 0.818 s 12.87/2.34 % (6341)Instructions burned: 1914 (million) 12.87/2.34 % (6341)------------------------------ 12.87/2.34 % (6341)------------------------------ 12.87/2.35 % (6508)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on E---3.1_5972 for (1780ds/770Mi) 13.61/2.40 % (6424)Instruction limit reached! 13.61/2.40 % (6424)------------------------------ 13.61/2.40 % (6424)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 13.61/2.40 % (6424)Termination reason: Unknown 13.61/2.40 % (6424)Termination phase: Function definition elimination 13.61/2.40 13.61/2.40 % (6424)Memory used [KB]: 2430 13.61/2.40 % (6424)Time elapsed: 0.250 s 13.61/2.40 % (6424)Instructions burned: 934 (million) 13.61/2.40 % (6424)------------------------------ 13.61/2.40 % (6424)------------------------------ 13.61/2.41 % (6548)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on E---3.1_5972 for (1780ds/794Mi) 14.60/2.61 % (6548)Instruction limit reached! 14.60/2.61 % (6548)------------------------------ 14.60/2.61 % (6548)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 14.60/2.61 % (6548)Termination reason: Unknown 14.60/2.61 % (6548)Termination phase: Function definition elimination 14.60/2.61 14.60/2.61 % (6548)Memory used [KB]: 2430 14.60/2.61 % (6548)Time elapsed: 0.194 s 14.60/2.61 % (6548)Instructions burned: 796 (million) 14.60/2.61 % (6548)------------------------------ 14.60/2.61 % (6548)------------------------------ 14.60/2.62 % (6604)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on E---3.1_5972 for (1778ds/464Mi) 15.33/2.71 % (6508)Instruction limit reached! 15.33/2.71 % (6508)------------------------------ 15.33/2.71 % (6508)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 15.33/2.71 % (6508)Termination reason: Unknown 15.33/2.71 % (6508)Termination phase: Saturation 15.33/2.71 15.33/2.71 % (6508)Memory used [KB]: 11513 15.33/2.71 % (6508)Time elapsed: 0.383 s 15.33/2.71 % (6508)Instructions burned: 770 (million) 15.33/2.71 % (6508)------------------------------ 15.33/2.71 % (6508)------------------------------ 15.81/2.73 % (6629)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on E---3.1_5972 for (1776ds/1376Mi) 15.81/2.75 % (6604)Instruction limit reached! 15.81/2.75 % (6604)------------------------------ 15.81/2.75 % (6604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 15.81/2.75 % (6604)Termination reason: Unknown 15.81/2.75 % (6604)Termination phase: Function definition elimination 15.81/2.75 15.81/2.75 % (6604)Memory used [KB]: 2430 15.81/2.75 % (6604)Time elapsed: 0.131 s 15.81/2.75 % (6604)Instructions burned: 467 (million) 15.81/2.75 % (6604)------------------------------ 15.81/2.75 % (6604)------------------------------ 15.81/2.76 % (6652)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on E---3.1_5972 for (1776ds/906Mi) 16.45/2.88 % (6417)Instruction limit reached! 16.45/2.88 % (6417)------------------------------ 16.45/2.88 % (6417)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 16.45/2.88 % (6417)Termination reason: Unknown 16.45/2.88 % (6417)Termination phase: Saturation 16.45/2.88 16.45/2.88 % (6417)Memory used [KB]: 10106 16.45/2.88 % (6417)Time elapsed: 0.810 s 16.45/2.88 % (6417)Instructions burned: 1828 (million) 16.45/2.88 % (6417)------------------------------ 16.45/2.88 % (6417)------------------------------ 16.45/2.89 % (6671)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on E---3.1_5972 for (1775ds/434Mi) 17.91/3.02 % (6652)Instruction limit reached! 17.91/3.02 % (6652)------------------------------ 17.91/3.02 % (6652)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 17.91/3.02 % (6652)Termination reason: Unknown 17.91/3.02 % (6652)Termination phase: Function definition elimination 17.91/3.02 17.91/3.02 % (6652)Memory used [KB]: 2430 17.91/3.02 % (6652)Time elapsed: 0.253 s 17.91/3.02 % (6652)Instructions burned: 910 (million) 17.91/3.02 % (6652)------------------------------ 17.91/3.02 % (6652)------------------------------ 17.91/3.04 % (6672)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on E---3.1_5972 for (1773ds/865Mi) 17.91/3.05 % (6671)Instruction limit reached! 17.91/3.05 % (6671)------------------------------ 17.91/3.05 % (6671)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 17.91/3.05 % (6671)Termination reason: Unknown 17.91/3.05 % (6671)Termination phase: Saturation 17.91/3.05 17.91/3.05 % (6671)Memory used [KB]: 7675 17.91/3.05 % (6671)Time elapsed: 0.169 s 17.91/3.05 % (6671)Instructions burned: 434 (million) 17.91/3.05 % (6671)------------------------------ 17.91/3.05 % (6671)------------------------------ 17.91/3.07 % (6673)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on E---3.1_5972 for (1773ds/593Mi) 18.47/3.12 % (6629)Instruction limit reached! 18.47/3.12 % (6629)------------------------------ 18.47/3.12 % (6629)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 18.47/3.12 % (6629)Termination reason: Unknown 18.47/3.12 % (6629)Termination phase: Function definition elimination 18.47/3.12 18.47/3.12 % (6629)Memory used [KB]: 2814 18.47/3.12 % (6629)Time elapsed: 0.388 s 18.47/3.12 % (6629)Instructions burned: 1377 (million) 18.47/3.12 % (6629)------------------------------ 18.47/3.12 % (6629)------------------------------ 18.47/3.13 % (6674)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on E---3.1_5972 for (1772ds/443Mi) 18.47/3.16 % (6340)Instruction limit reached! 18.47/3.16 % (6340)------------------------------ 18.47/3.16 % (6340)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 18.47/3.16 % (6340)Termination reason: Unknown 18.47/3.16 % (6340)Termination phase: Property scanning 18.47/3.16 18.47/3.16 % (6340)Memory used [KB]: 2814 18.47/3.16 % (6340)Time elapsed: 1.657 s 18.47/3.16 % (6340)Instructions burned: 5206 (million) 18.47/3.16 % (6340)------------------------------ 18.47/3.16 % (6340)------------------------------ 18.47/3.19 % (6675)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on E---3.1_5972 for (1772ds/594Mi) 18.81/3.24 % (6673)Instruction limit reached! 18.81/3.24 % (6673)------------------------------ 18.81/3.24 % (6673)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 18.81/3.24 % (6673)Termination reason: Unknown 18.81/3.24 % (6673)Termination phase: Function definition elimination 18.81/3.24 18.81/3.24 % (6673)Memory used [KB]: 2430 18.81/3.24 % (6673)Time elapsed: 0.178 s 18.81/3.24 % (6673)Instructions burned: 596 (million) 18.81/3.24 % (6673)------------------------------ 18.81/3.24 % (6673)------------------------------ 18.81/3.26 % (6676)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on E---3.1_5972 for (1771ds/327Mi) 19.35/3.31 % (6672)First to succeed. 19.35/3.32 % (6672)Refutation found. Thanks to Tanya! 19.35/3.32 % SZS status Theorem for E---3.1_5972 19.35/3.32 % SZS output start Proof for E---3.1_5972 19.35/3.32 thf(func_def_0, type, is_of: $i > ($i > $o) > $o). 19.35/3.32 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o). 19.35/3.32 thf(func_def_3, type, eps: ($i > $o) > $i). 19.35/3.32 thf(func_def_4, type, in: $i > $i > $o). 19.35/3.32 thf(func_def_5, type, d_Subq: $i > $i > $o). 19.35/3.32 thf(func_def_7, type, union: $i > $i). 19.35/3.32 thf(func_def_8, type, power: $i > $i). 19.35/3.32 thf(func_def_9, type, repl: $i > ($i > $i) > $i). 19.35/3.32 thf(func_def_10, type, d_Union_closed: $i > $o). 19.35/3.32 thf(func_def_11, type, d_Power_closed: $i > $o). 19.35/3.32 thf(func_def_12, type, d_Repl_closed: $i > $o). 19.35/3.32 thf(func_def_13, type, d_ZF_closed: $i > $o). 19.35/3.32 thf(func_def_14, type, univof: $i > $i). 19.35/3.32 thf(func_def_15, type, if: $o > $i > $i > $i). 19.35/3.32 thf(func_def_16, type, nIn: $i > $i > $o). 19.35/3.32 thf(func_def_17, type, d_UPair: $i > $i > $i). 19.35/3.32 thf(func_def_18, type, d_Sing: $i > $i). 19.35/3.32 thf(func_def_19, type, binunion: $i > $i > $i). 19.35/3.32 thf(func_def_20, type, famunion: $i > ($i > $i) > $i). 19.35/3.32 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i). 19.35/3.32 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i). 19.35/3.32 thf(func_def_23, type, setminus: $i > $i > $i). 19.35/3.32 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o). 19.35/3.32 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i). 19.35/3.32 thf(func_def_26, type, ordsucc: $i > $i). 19.35/3.32 thf(func_def_27, type, nat_p: $i > $o). 19.35/3.32 thf(func_def_29, type, d_Inj1: $i > $i). 19.35/3.32 thf(func_def_30, type, d_Inj0: $i > $i). 19.35/3.32 thf(func_def_31, type, d_Unj: $i > $i). 19.35/3.32 thf(func_def_32, type, pair: $i > $i > $i). 19.35/3.32 thf(func_def_33, type, proj0: $i > $i). 19.35/3.32 thf(func_def_34, type, proj1: $i > $i). 19.35/3.32 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i). 19.35/3.32 thf(func_def_36, type, setprod: $i > $i > $i). 19.35/3.32 thf(func_def_37, type, ap: $i > $i > $i). 19.35/3.32 thf(func_def_38, type, pair_p: $i > $o). 19.35/3.32 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i). 19.35/3.32 thf(func_def_40, type, imp: $o > $o > $o). 19.35/3.32 thf(func_def_41, type, d_not: $o > $o). 19.35/3.32 thf(func_def_42, type, wel: $o > $o). 19.35/3.32 thf(func_def_44, type, l_ec: $o > $o > $o). 19.35/3.32 thf(func_def_45, type, d_and: $o > $o > $o). 19.35/3.32 thf(func_def_46, type, l_or: $o > $o > $o). 19.35/3.32 thf(func_def_47, type, orec: $o > $o > $o). 19.35/3.32 thf(func_def_48, type, l_iff: $o > $o > $o). 19.35/3.32 thf(func_def_49, type, all: $i > ($i > $o) > $o). 19.35/3.32 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o). 19.35/3.32 thf(func_def_51, type, l_some: $i > ($i > $o) > $o). 19.35/3.32 thf(func_def_52, type, or3: $o > $o > $o > $o). 19.35/3.32 thf(func_def_53, type, and3: $o > $o > $o > $o). 19.35/3.32 thf(func_def_54, type, ec3: $o > $o > $o > $o). 19.35/3.32 thf(func_def_55, type, orec3: $o > $o > $o > $o). 19.35/3.32 thf(func_def_56, type, e_is: $i > $i > $i > $o). 19.35/3.32 thf(func_def_57, type, amone: $i > ($i > $o) > $o). 19.35/3.32 thf(func_def_58, type, one: $i > ($i > $o) > $o). 19.35/3.32 thf(func_def_59, type, ind: $i > ($i > $o) > $i). 19.35/3.32 thf(func_def_60, type, injective: $i > $i > $i > $o). 19.35/3.32 thf(func_def_61, type, image: $i > $i > $i > $i > $o). 19.35/3.32 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_63, type, soft: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_64, type, inverse: $i > $i > $i > $i). 19.35/3.32 thf(func_def_65, type, surjective: $i > $i > $i > $o). 19.35/3.32 thf(func_def_66, type, bijective: $i > $i > $i > $o). 19.35/3.32 thf(func_def_67, type, invf: $i > $i > $i > $i). 19.35/3.32 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i). 19.35/3.32 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i). 19.35/3.32 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_72, type, first: $i > $i > $i > $i). 19.35/3.32 thf(func_def_73, type, second: $i > $i > $i > $i). 19.35/3.32 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o). 19.35/3.32 thf(func_def_75, type, ite: $o > $i > $i > $i > $i). 19.35/3.32 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_78, type, wissel: $i > $i > $i > $i). 19.35/3.32 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_80, type, r_ec: $o > $o > $o). 19.35/3.32 thf(func_def_81, type, esti: $i > $i > $i > $o). 19.35/3.32 thf(func_def_82, type, empty: $i > $i > $o). 19.35/3.32 thf(func_def_83, type, nonempty: $i > $i > $o). 19.35/3.32 thf(func_def_84, type, incl: $i > $i > $i > $o). 19.35/3.32 thf(func_def_85, type, st_disj: $i > $i > $i > $o). 19.35/3.32 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o). 19.35/3.32 thf(func_def_87, type, unmore: $i > $i > $i > $i). 19.35/3.32 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i). 19.35/3.32 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o). 19.35/3.32 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o). 19.35/3.32 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i). 19.35/3.32 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i). 19.35/3.32 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i). 19.35/3.32 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i). 19.35/3.32 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o). 19.35/3.32 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o). 19.35/3.32 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o). 19.35/3.32 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i). 19.35/3.32 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o). 19.35/3.32 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i). 19.35/3.32 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_103, type, n_is: $i > $i > $o). 19.35/3.32 thf(func_def_104, type, nis: $i > $i > $o). 19.35/3.32 thf(func_def_105, type, n_in: $i > $i > $o). 19.35/3.32 thf(func_def_106, type, n_some: ($i > $o) > $o). 19.35/3.32 thf(func_def_107, type, n_all: ($i > $o) > $o). 19.35/3.32 thf(func_def_108, type, n_one: ($i > $o) > $o). 19.35/3.32 thf(func_def_110, type, cond1: $i > $o). 19.35/3.32 thf(func_def_111, type, cond2: $i > $o). 19.35/3.32 thf(func_def_112, type, i1_s: ($i > $o) > $i). 19.35/3.32 thf(func_def_113, type, d_22_prop1: $i > $o). 19.35/3.32 thf(func_def_114, type, d_23_prop1: $i > $o). 19.35/3.32 thf(func_def_115, type, d_24_prop1: $i > $o). 19.35/3.32 thf(func_def_116, type, d_24_prop2: $i > $i > $o). 19.35/3.32 thf(func_def_117, type, prop3: $i > $i > $i > $o). 19.35/3.32 thf(func_def_118, type, prop4: $i > $o). 19.35/3.32 thf(func_def_119, type, d_24_g: $i > $i). 19.35/3.32 thf(func_def_120, type, plus: $i > $i). 19.35/3.32 thf(func_def_121, type, n_pl: $i > $i > $i). 19.35/3.32 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o). 19.35/3.32 thf(func_def_123, type, d_26_prop1: $i > $i > $o). 19.35/3.32 thf(func_def_124, type, d_27_prop1: $i > $i > $o). 19.35/3.32 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o). 19.35/3.32 thf(func_def_126, type, diffprop: $i > $i > $i > $o). 19.35/3.32 thf(func_def_127, type, d_29_ii: $i > $i > $o). 19.35/3.32 thf(func_def_128, type, iii: $i > $i > $o). 19.35/3.32 thf(func_def_129, type, d_29_prop1: $i > $i > $o). 19.35/3.32 thf(func_def_130, type, moreis: $i > $i > $o). 19.35/3.32 thf(func_def_131, type, lessis: $i > $i > $o). 19.35/3.32 thf(func_def_132, type, lbprop: ($i > $o) > $i > $i > $o). 19.35/3.32 thf(func_def_133, type, n_lb: ($i > $o) > $i > $o). 19.35/3.32 thf(func_def_134, type, min: ($i > $o) > $i > $o). 19.35/3.32 thf(func_def_135, type, d_428_prop1: $i > $i > $o). 19.35/3.32 thf(func_def_136, type, d_428_prop2: $i > $i > $o). 19.35/3.32 thf(func_def_137, type, d_428_prop4: $i > $o). 19.35/3.32 thf(func_def_139, type, d_428_g: $i > $i). 19.35/3.32 thf(func_def_140, type, times: $i > $i). 19.35/3.32 thf(func_def_141, type, n_ts: $i > $i > $i). 19.35/3.32 thf(func_def_142, type, d_429_prop1: $i > $i > $o). 19.35/3.32 thf(func_def_143, type, d_430_prop1: $i > $i > $i > $o). 19.35/3.32 thf(func_def_144, type, d_431_prop1: $i > $i > $i > $o). 19.35/3.32 thf(func_def_145, type, n_mn: $i > $i > $i). 19.35/3.32 thf(func_def_146, type, d_1to: $i > $i). 19.35/3.32 thf(func_def_147, type, outn: $i > $i > $i). 19.35/3.32 thf(func_def_148, type, inn: $i > $i > $i). 19.35/3.32 thf(func_def_150, type, singlet_u0: $i > $i). 19.35/3.32 thf(func_def_154, type, pair_u0: $i > $i). 19.35/3.32 thf(func_def_155, type, pair1type: $i > $i). 19.35/3.32 thf(func_def_156, type, pair1: $i > $i > $i > $i). 19.35/3.32 thf(func_def_157, type, first1: $i > $i > $i). 19.35/3.32 thf(func_def_158, type, second1: $i > $i > $i). 19.35/3.32 thf(func_def_159, type, pair_q0: $i > $i > $i). 19.35/3.32 thf(func_def_160, type, d_1out: $i > $i). 19.35/3.32 thf(func_def_161, type, xout: $i > $i). 19.35/3.32 thf(func_def_162, type, left1to: $i > $i > $i > $i). 19.35/3.32 thf(func_def_163, type, right1to: $i > $i > $i > $i). 19.35/3.32 thf(func_def_164, type, left: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_165, type, right: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_166, type, left_f1: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_167, type, left_f2: $i > $i > $i > $i > $i). 19.35/3.32 thf(func_def_169, type, n_fr: $i > $i > $i). 19.35/3.32 thf(func_def_170, type, num: $i > $i). 19.35/3.32 thf(func_def_171, type, den: $i > $i). 19.35/3.32 thf(func_def_172, type, n_eq: $i > $i > $o). 19.35/3.32 thf(func_def_192, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)). 19.35/3.32 thf(func_def_194, type, sK1: $i > $i > $i > $i). 19.35/3.32 thf(func_def_198, type, sK5: ($i > $i) > ($i > $i) > $i > $i). 19.35/3.32 thf(func_def_199, type, sK6: ($i > $i) > $i > ($i > $i) > $i). 19.35/3.32 thf(func_def_200, type, sK7: ($i > $o) > $i). 19.35/3.32 thf(func_def_201, type, ph8: !>[X0: $tType]:(X0)). 19.35/3.32 thf(f2691,plain,( 19.35/3.32 $false), 19.35/3.32 inference(trivial_inequality_removal,[],[f2690])). 19.35/3.32 thf(f2690,plain,( 19.35/3.32 ($true = $false)), 19.35/3.32 inference(backward_demodulation,[],[f1714,f2689])). 19.35/3.32 thf(f2689,plain,( 19.35/3.32 ($false = (in @ sK4 @ nat))), 19.35/3.32 inference(trivial_inequality_removal,[],[f2688])). 19.35/3.32 thf(f2688,plain,( 19.35/3.32 ($true = $false) | ($false = (in @ sK4 @ nat))), 19.35/3.32 inference(forward_demodulation,[],[f2687,f1706])). 19.35/3.32 thf(f1706,plain,( 19.35/3.32 ($true = (in @ sK2 @ nat))), 19.35/3.32 inference(binary_proxy_clausification,[],[f1704])). 19.35/3.32 thf(f1704,plain,( 19.35/3.32 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))))))), 19.35/3.32 inference(beta_eta_normalization,[],[f1703])). 19.35/3.32 thf(f1703,plain,( 19.35/3.32 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))) @ sK2) = $false)), 19.35/3.32 inference(sigma_clausification,[],[f1368])). 19.35/3.32 thf(f1368,plain,( 19.35/3.32 ($true != (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))))))))), 19.35/3.32 inference(beta_eta_normalization,[],[f1212])). 19.35/3.32 thf(f1212,plain,( 19.35/3.32 ($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]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ (n_ts @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y4)) @ (n_ts @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (d_Sigma @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (ind @ Y8 @ ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (d_and @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y11 @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y13)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ (d_not @ Y11) @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y14)))))))))))) @ Y7 @ Y8 @ Y9 @ Y10))))))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: (d_Sep @ nat @ (^[Y8 : $i]: (lessis @ Y8 @ Y7)))) @ (n_pl @ n_1 @ n_1)) @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y3 @ Y4 @ Y5)))))))) @ nat @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2)) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (d_Sigma @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (ind @ Y8 @ ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (d_and @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y11 @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y13)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ (d_not @ Y11) @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y14)))))))))))) @ Y7 @ Y8 @ Y9 @ Y10))))))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: (d_Sep @ nat @ (^[Y8 : $i]: (lessis @ Y8 @ Y7)))) @ (n_pl @ n_1 @ n_1)) @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y3 @ Y4 @ Y5)))))))) @ nat @ Y0 @ Y1)))))))))), 19.35/3.33 inference(definition_unfolding,[],[f1039,f1120,f1120,f1120,f1148,f1144,f1144])). 19.35/3.33 thf(f1144,plain,( 19.35/3.33 (n_fr = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))) @ nat))), 19.35/3.33 inference(definition_unfolding,[],[f1010,f1134])). 19.35/3.33 thf(f1134,plain,( 19.35/3.33 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ ((^[Y3 : $i]: (d_Sep @ nat @ (^[Y4 : $i]: (lessis @ Y4 @ Y3)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (ind @ Y5 @ ((^[Y8 : $o]: ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: ((^[Y12 : $i]: (d_and @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ Y8 @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y10)) @ ((^[Y13 : $o]: ((^[Y14 : $o]: (Y13 => Y14)))) @ (d_not @ Y8) @ ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (Y14 = Y15)))))) @ Y9 @ Y12 @ Y11)))))))))))) @ Y4 @ Y5 @ Y6 @ Y7))))))))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ ((^[Y4 : $i]: (d_Sep @ nat @ (^[Y5 : $i]: (lessis @ Y5 @ Y4)))) @ (n_pl @ n_1 @ n_1)) @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y0 @ Y1 @ Y2)))))))))), 19.35/3.33 inference(definition_unfolding,[],[f1035,f1092,f994,f1124,f1052,f1092,f994,f1130])). 19.35/3.33 thf(f1130,plain,( 19.35/3.33 (n_1t = (outn @ (n_pl @ n_1 @ n_1) @ n_1))), 19.35/3.33 inference(definition_unfolding,[],[f1078,f994])). 19.35/3.33 thf(f1078,plain,( 19.35/3.33 (n_1t = (outn @ n_2 @ n_1))), 19.35/3.33 inference(cnf_transformation,[],[f867])). 19.35/3.33 thf(f867,plain,( 19.35/3.33 (n_1t = (outn @ n_2 @ n_1))), 19.35/3.33 inference(fool_elimination,[],[f211])). 19.35/3.33 thf(f211,axiom,( 19.35/3.33 (n_1t = (outn @ n_2 @ n_1))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_1t)). 19.35/3.33 thf(f1052,plain,( 19.35/3.33 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 19.35/3.33 inference(cnf_transformation,[],[f498])). 19.35/3.33 thf(f498,plain,( 19.35/3.33 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))), 19.35/3.33 inference(fool_elimination,[],[f497])). 19.35/3.33 thf(f497,plain,( 19.35/3.33 (e_is = (^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))))), 19.35/3.33 inference(rectify,[],[f49])). 19.35/3.33 thf(f49,axiom,( 19.35/3.33 (e_is = (^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_e_is)). 19.35/3.33 thf(f1124,plain,( 19.35/3.33 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ ((^[Y4 : $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: ((^[Y8 : $i]: (d_and @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ Y4 @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y6)) @ ((^[Y9 : $o]: ((^[Y10 : $o]: (Y9 => Y10)))) @ (d_not @ Y4) @ ((^[Y9 : $i]: ((^[Y10 : $i]: ((^[Y11 : $i]: (Y10 = Y11)))))) @ Y5 @ Y8 @ Y7)))))))))))) @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 19.35/3.33 inference(definition_unfolding,[],[f990,f1123])). 19.35/3.33 thf(f1123,plain,( 19.35/3.33 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ Y0 @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y2)) @ ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ (d_not @ Y0) @ ((^[Y5 : $i]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ Y1 @ Y4 @ Y3)))))))))))))), 19.35/3.33 inference(definition_unfolding,[],[f988,f1036,f1052,f1036,f1052])). 19.35/3.33 thf(f1036,plain,( 19.35/3.33 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 19.35/3.33 inference(cnf_transformation,[],[f655])). 19.35/3.33 thf(f655,plain,( 19.35/3.33 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))), 19.35/3.33 inference(fool_elimination,[],[f654])). 19.35/3.33 thf(f654,plain,( 19.35/3.33 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 19.35/3.33 inference(rectify,[],[f33])). 19.35/3.33 thf(f33,axiom,( 19.35/3.33 (imp = (^[X0 : $o, X1 : $o] : (X0 => X1)))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_imp)). 19.35/3.33 thf(f988,plain,( 19.35/3.33 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 19.35/3.33 inference(cnf_transformation,[],[f484])). 19.35/3.33 thf(f484,plain,( 19.35/3.33 (prop1 = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (d_and @ (imp @ Y0 @ (e_is @ Y1 @ Y4 @ Y2)) @ (imp @ (d_not @ Y0) @ (e_is @ Y1 @ Y4 @ Y3)))))))))))))), 19.35/3.33 inference(fool_elimination,[],[f67])). 19.35/3.33 thf(f67,axiom,( 19.35/3.33 (prop1 = (^[X0 : $o, X1 : $i, X2 : $i, X3 : $i, X4 : $i] : (d_and @ (imp @ X0 @ (e_is @ X1 @ X4 @ X2)) @ (imp @ (d_not @ X0) @ (e_is @ X1 @ X4 @ X3)))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_prop1)). 19.35/3.33 thf(f990,plain,( 19.35/3.33 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 19.35/3.33 inference(cnf_transformation,[],[f872])). 19.35/3.33 thf(f872,plain,( 19.35/3.33 (ite = (^[Y0 : $o]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: (ind @ Y1 @ (prop1 @ Y0 @ Y1 @ Y2 @ Y3))))))))))), 19.35/3.33 inference(fool_elimination,[],[f68])). 19.35/3.33 thf(f68,axiom,( 19.35/3.33 (ite = (^[X0 : $o, X1 : $i, X2 : $i, X3 : $i] : (ind @ X1 @ (prop1 @ X0 @ X1 @ X2 @ X3))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_ite)). 19.35/3.33 thf(f994,plain,( 19.35/3.33 (n_2 = (n_pl @ n_1 @ n_1))), 19.35/3.33 inference(cnf_transformation,[],[f379])). 19.35/3.33 thf(f379,plain,( 19.35/3.33 (n_2 = (n_pl @ n_1 @ n_1))), 19.35/3.33 inference(fool_elimination,[],[f210])). 19.35/3.33 thf(f210,axiom,( 19.35/3.33 (n_2 = (n_pl @ n_1 @ n_1))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_2)). 19.35/3.33 thf(f1092,plain,( 19.35/3.33 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 19.35/3.33 inference(cnf_transformation,[],[f464])). 19.35/3.33 thf(f464,plain,( 19.35/3.33 (d_1to = (^[Y0 : $i]: (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ Y0)))))), 19.35/3.33 inference(fool_elimination,[],[f205])). 19.35/3.33 thf(f205,axiom,( 19.35/3.33 ((^[X0 : $i] : (d_Sep @ nat @ (^[X1 : $i] : (lessis @ X1 @ X0)))) = d_1to)), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_d_1to)). 19.35/3.33 thf(f1035,plain,( 19.35/3.33 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 19.35/3.33 inference(cnf_transformation,[],[f738])). 19.35/3.33 thf(f738,plain,( 19.35/3.33 (pair1 = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (d_Sigma @ (d_1to @ n_2) @ (^[Y3 : $i]: (ite @ (e_is @ (d_1to @ n_2) @ Y3 @ n_1t) @ Y0 @ Y1 @ Y2)))))))))), 19.35/3.33 inference(fool_elimination,[],[f215])). 19.35/3.33 thf(f215,axiom,( 19.35/3.33 (pair1 = (^[X0 : $i, X1 : $i, X2 : $i] : (d_Sigma @ (d_1to @ n_2) @ (^[X3 : $i] : (ite @ (e_is @ (d_1to @ n_2) @ X3 @ n_1t) @ X0 @ X1 @ X2)))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_pair1)). 19.35/3.33 thf(f1010,plain,( 19.35/3.33 (n_fr = (pair1 @ nat))), 19.35/3.33 inference(cnf_transformation,[],[f539])). 19.35/3.33 thf(f539,plain,( 19.35/3.33 (n_fr = (pair1 @ nat))), 19.35/3.33 inference(fool_elimination,[],[f228])). 19.35/3.33 thf(f228,axiom,( 19.35/3.33 (n_fr = (pair1 @ nat))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_fr)). 19.35/3.33 thf(f1148,plain,( 19.35/3.33 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $i]: (Y3 = Y4)))))) @ nat @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y0) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y1)) @ (n_ts @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (ap @ Y3 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y0)))))))), 19.35/3.33 inference(definition_unfolding,[],[f1074,f1147,f1145,f1146,f1145,f1146])). 19.35/3.33 thf(f1146,plain,( 19.35/3.33 (den = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat))), 19.35/3.33 inference(definition_unfolding,[],[f1033,f1136])). 19.35/3.33 thf(f1136,plain,( 19.35/3.33 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))), 19.35/3.33 inference(definition_unfolding,[],[f1101,f1131])). 19.35/3.33 thf(f1131,plain,( 19.35/3.33 (n_2t = (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))), 19.35/3.33 inference(definition_unfolding,[],[f967,f994,f994])). 19.35/3.33 thf(f967,plain,( 19.35/3.33 (n_2t = (outn @ n_2 @ n_2))), 19.35/3.33 inference(cnf_transformation,[],[f570])). 19.35/3.33 thf(f570,plain,( 19.35/3.33 (n_2t = (outn @ n_2 @ n_2))), 19.35/3.33 inference(fool_elimination,[],[f212])). 19.35/3.33 thf(f212,axiom,( 19.35/3.33 (n_2t = (outn @ n_2 @ n_2))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_2t)). 19.35/3.33 thf(f1101,plain,( 19.35/3.33 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 19.35/3.33 inference(cnf_transformation,[],[f485])). 19.35/3.33 thf(f485,plain,( 19.35/3.33 (second1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_2t)))))), 19.35/3.33 inference(fool_elimination,[],[f217])). 19.35/3.33 thf(f217,axiom,( 19.35/3.33 (second1 = (^[X0 : $i, X1 : $i] : (ap @ X1 @ n_2t)))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_second1)). 19.35/3.33 thf(f1033,plain,( 19.35/3.33 (den = (second1 @ nat))), 19.35/3.33 inference(cnf_transformation,[],[f470])). 19.35/3.33 thf(f470,plain,( 19.35/3.33 (den = (second1 @ nat))), 19.35/3.33 inference(fool_elimination,[],[f230])). 19.35/3.33 thf(f230,axiom,( 19.35/3.33 (den = (second1 @ nat))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_den)). 19.35/3.33 thf(f1145,plain,( 19.35/3.33 (num = ((^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat))), 19.35/3.33 inference(definition_unfolding,[],[f1027,f1135])). 19.35/3.33 thf(f1135,plain,( 19.35/3.33 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))))), 19.35/3.33 inference(definition_unfolding,[],[f960,f1130])). 19.35/3.33 thf(f960,plain,( 19.35/3.33 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 19.35/3.33 inference(cnf_transformation,[],[f741])). 19.35/3.33 thf(f741,plain,( 19.35/3.33 (first1 = (^[Y0 : $i]: ((^[Y1 : $i]: (ap @ Y1 @ n_1t)))))), 19.35/3.33 inference(fool_elimination,[],[f216])). 19.35/3.33 thf(f216,axiom,( 19.35/3.33 ((^[X0 : $i, X1 : $i] : (ap @ X1 @ n_1t)) = first1)), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_first1)). 19.35/3.33 thf(f1027,plain,( 19.35/3.33 (num = (first1 @ nat))), 19.35/3.33 inference(cnf_transformation,[],[f433])). 19.35/3.33 thf(f433,plain,( 19.35/3.33 (num = (first1 @ nat))), 19.35/3.33 inference(fool_elimination,[],[f229])). 19.35/3.33 thf(f229,axiom,( 19.35/3.33 (num = (first1 @ nat))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_num)). 19.35/3.33 thf(f1147,plain,( 19.35/3.33 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))), 19.35/3.33 inference(definition_unfolding,[],[f1044,f1052])). 19.35/3.33 thf(f1044,plain,( 19.35/3.33 (n_is = (e_is @ nat))), 19.35/3.33 inference(cnf_transformation,[],[f390])). 19.35/3.33 thf(f390,plain,( 19.35/3.33 (n_is = (e_is @ nat))), 19.35/3.33 inference(fool_elimination,[],[f96])). 19.35/3.33 thf(f96,axiom,( 19.35/3.33 (n_is = (e_is @ nat))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_is)). 19.35/3.33 thf(f1074,plain,( 19.35/3.33 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 19.35/3.33 inference(cnf_transformation,[],[f383])). 19.35/3.33 thf(f383,plain,( 19.35/3.33 (n_eq = (^[Y0 : $i]: ((^[Y1 : $i]: (n_is @ (n_ts @ (num @ Y0) @ (den @ Y1)) @ (n_ts @ (num @ Y1) @ (den @ Y0)))))))), 19.35/3.33 inference(fool_elimination,[],[f231])). 19.35/3.33 thf(f231,axiom,( 19.35/3.33 (n_eq = (^[X0 : $i, X1 : $i] : (n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_n_eq)). 19.35/3.33 thf(f1120,plain,( 19.35/3.33 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))), 19.35/3.33 inference(definition_unfolding,[],[f1102,f1042])). 19.35/3.33 thf(f1042,plain,( 19.35/3.33 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 19.35/3.33 inference(cnf_transformation,[],[f934])). 19.35/3.33 thf(f934,plain,( 19.35/3.33 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))), 19.35/3.33 inference(fool_elimination,[],[f1])). 19.35/3.33 thf(f1,axiom,( 19.35/3.33 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_is_of)). 19.35/3.33 thf(f1102,plain,( 19.35/3.33 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 19.35/3.33 inference(cnf_transformation,[],[f851])). 19.35/3.33 thf(f851,plain,( 19.35/3.33 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))), 19.35/3.33 inference(fool_elimination,[],[f850])). 19.35/3.33 thf(f850,plain,( 19.35/3.33 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 19.35/3.33 inference(rectify,[],[f2])). 19.35/3.33 thf(f2,axiom,( 19.35/3.33 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',def_all_of)). 19.35/3.33 thf(f1039,plain,( 19.35/3.33 ($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 : $i]: (n_eq @ (n_fr @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2)) @ (n_fr @ Y0 @ Y1)))))))))), 19.35/3.33 inference(cnf_transformation,[],[f948])). 19.35/3.33 thf(f948,plain,( 19.35/3.33 ($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 : $i]: (n_eq @ (n_fr @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2)) @ (n_fr @ Y0 @ Y1)))))))))), 19.35/3.33 inference(flattening,[],[f612])). 19.35/3.33 thf(f612,plain,( 19.35/3.33 ~($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_eq @ (n_fr @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2)) @ (n_fr @ Y0 @ Y1)))))))))), 19.35/3.33 inference(fool_elimination,[],[f611])). 19.35/3.33 thf(f611,plain,( 19.35/3.33 ~(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_eq @ (n_fr @ (n_ts @ X1 @ X5) @ (n_ts @ X3 @ X5)) @ (n_fr @ X1 @ X3))))))))), 19.35/3.33 inference(rectify,[],[f355])). 19.35/3.33 thf(f355,negated_conjecture,( 19.35/3.33 ~(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_eq @ (n_fr @ (n_ts @ X0 @ X2) @ (n_ts @ X1 @ X2)) @ (n_fr @ X0 @ X1))))))))), 19.35/3.33 inference(negated_conjecture,[],[f354])). 19.35/3.33 thf(f354,conjecture,( 19.35/3.33 (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 : $i] : (n_eq @ (n_fr @ (n_ts @ X0 @ X2) @ (n_ts @ X1 @ X2)) @ (n_fr @ X0 @ X1))))))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',satz40c)). 19.35/3.33 thf(f2687,plain,( 19.35/3.33 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat))), 19.35/3.33 inference(trivial_inequality_removal,[],[f2686])). 19.35/3.33 thf(f2686,plain,( 19.35/3.33 ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat)) | ($true = $false)), 19.35/3.33 inference(forward_demodulation,[],[f2685,f1710])). 19.35/3.33 thf(f1710,plain,( 19.35/3.33 ($true = (in @ sK3 @ nat))), 19.35/3.33 inference(binary_proxy_clausification,[],[f1708])). 19.35/3.33 thf(f1708,plain,( 19.35/3.33 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))), 19.35/3.33 inference(beta_eta_normalization,[],[f1707])). 19.35/3.33 thf(f1707,plain,( 19.35/3.33 (((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ sK3) = $false)), 19.35/3.33 inference(sigma_clausification,[],[f1705])). 19.35/3.33 thf(f1705,plain,( 19.35/3.33 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = sK2)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ sK2 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))) = $false)), 19.35/3.33 inference(binary_proxy_clausification,[],[f1704])). 19.35/3.33 thf(f2685,plain,( 19.35/3.33 ($false = (in @ sK3 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = (in @ sK4 @ nat))), 19.35/3.33 inference(trivial_inequality_removal,[],[f2674])). 19.35/3.33 thf(f2674,plain,( 19.35/3.33 ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) | ($false = (in @ sK3 @ nat))), 19.35/3.33 inference(superposition,[],[f1715,f1427])). 19.35/3.33 thf(f1427,plain,( 19.35/3.33 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) | ((in @ X1 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )), 19.35/3.33 inference(equality_proxy_clausification,[],[f1426])). 19.35/3.33 thf(f1426,plain,( 19.35/3.33 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ($true = ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) )), 19.35/3.33 inference(binary_proxy_clausification,[],[f1425])). 19.35/3.33 thf(f1425,plain,( 19.35/3.33 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ($true = ((in @ X3 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ X1 @ X3))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ X2 @ X3)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = X1)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))) )), 19.35/3.33 inference(beta_eta_normalization,[],[f1424])). 19.35/3.33 thf(f1424,plain,( 19.35/3.33 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ X3) = $true) | ((in @ X1 @ nat) = $false)) )), 19.35/3.33 inference(pi_clausification,[],[f1423])). 19.35/3.33 thf(f1423,plain,( 19.35/3.33 ( ! [X2 : $i,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))) | ((in @ X1 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )), 19.35/3.33 inference(binary_proxy_clausification,[],[f1422])). 19.35/3.33 thf(f1422,plain,( 19.35/3.33 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ X1 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ X2 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = X1)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = X2))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) | ((in @ X1 @ nat) = $false)) )), 19.35/3.33 inference(beta_eta_normalization,[],[f1421])). 19.35/3.33 thf(f1421,plain,( 19.35/3.33 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))) @ X2))) )), 19.35/3.33 inference(pi_clausification,[],[f1420])). 19.35/3.33 thf(f1420,plain,( 19.35/3.33 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))))) | ((in @ X1 @ nat) = $false)) )), 19.35/3.33 inference(binary_proxy_clausification,[],[f1419])). 19.35/3.33 thf(f1419,plain,( 19.35/3.33 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = (n_ts @ X1 @ Y1))) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = (n_ts @ Y0 @ Y1)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y2 : $i]: (lessis @ Y2 @ (n_pl @ n_1 @ n_1)))) @ (^[Y2 : $i]: (ind @ nat @ (^[Y3 : $i]: (d_and @ ((Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y3 = X1)) @ ((d_not @ (Y2 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y3 = Y0))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))))))) )), 19.35/3.33 inference(beta_eta_normalization,[],[f1418])). 19.35/3.33 thf(f1418,plain,( 19.35/3.33 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))))))))) @ X1))) )), 19.35/3.33 inference(pi_clausification,[],[f1400])). 19.35/3.33 thf(f1400,plain,( 19.35/3.33 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = (n_ts @ Y0 @ Y2))) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = (n_ts @ Y1 @ Y2)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y3 : $i]: (lessis @ Y3 @ (n_pl @ n_1 @ n_1)))) @ (^[Y3 : $i]: (ind @ nat @ (^[Y4 : $i]: (d_and @ ((Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y4 = Y0)) @ ((d_not @ (Y3 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y4 = Y1))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))))))))))), 19.35/3.33 inference(beta_eta_normalization,[],[f1181])). 19.35/3.33 thf(f1181,plain,( 19.35/3.33 ($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]: ((^[Y6 : $i]: ((^[Y7 : $i]: (Y6 = Y7)))))) @ nat @ (n_ts @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y3) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y4)) @ (n_ts @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1))))) @ nat @ Y4) @ ((^[Y5 : $i]: ((^[Y6 : $i]: (ap @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))) @ nat @ Y3)))))) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (d_Sigma @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (ind @ Y8 @ ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (d_and @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y11 @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y13)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ (d_not @ Y11) @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y14)))))))))))) @ Y7 @ Y8 @ Y9 @ Y10))))))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: (d_Sep @ nat @ (^[Y8 : $i]: (lessis @ Y8 @ Y7)))) @ (n_pl @ n_1 @ n_1)) @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y3 @ Y4 @ Y5)))))))) @ nat @ Y0 @ Y1) @ ((^[Y3 : $i]: ((^[Y4 : $i]: ((^[Y5 : $i]: (d_Sigma @ ((^[Y6 : $i]: (d_Sep @ nat @ (^[Y7 : $i]: (lessis @ Y7 @ Y6)))) @ (n_pl @ n_1 @ n_1)) @ (^[Y6 : $i]: ((^[Y7 : $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: ((^[Y10 : $i]: (ind @ Y8 @ ((^[Y11 : $o]: ((^[Y12 : $i]: ((^[Y13 : $i]: ((^[Y14 : $i]: ((^[Y15 : $i]: (d_and @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ Y11 @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y13)) @ ((^[Y16 : $o]: ((^[Y17 : $o]: (Y16 => Y17)))) @ (d_not @ Y11) @ ((^[Y16 : $i]: ((^[Y17 : $i]: ((^[Y18 : $i]: (Y17 = Y18)))))) @ Y12 @ Y15 @ Y14)))))))))))) @ Y7 @ Y8 @ Y9 @ Y10))))))))) @ ((^[Y7 : $i]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y8 = Y9)))))) @ ((^[Y7 : $i]: (d_Sep @ nat @ (^[Y8 : $i]: (lessis @ Y8 @ Y7)))) @ (n_pl @ n_1 @ n_1)) @ Y6 @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ Y3 @ Y4 @ Y5)))))))) @ nat @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2))))))))))), 19.35/3.33 inference(definition_unfolding,[],[f992,f1120,f1120,f1120,f1148,f1144,f1144])). 19.35/3.33 thf(f992,plain,( 19.35/3.33 ($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 : $i]: (n_eq @ (n_fr @ Y0 @ Y1) @ (n_fr @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2))))))))))), 19.35/3.33 inference(cnf_transformation,[],[f649])). 19.35/3.33 thf(f649,plain,( 19.35/3.33 ($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_eq @ (n_fr @ Y0 @ Y1) @ (n_fr @ (n_ts @ Y0 @ Y2) @ (n_ts @ Y1 @ Y2))))))))))), 19.35/3.33 inference(fool_elimination,[],[f648])). 19.35/3.33 thf(f648,plain,( 19.35/3.33 (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_eq @ (n_fr @ X1 @ X3) @ (n_fr @ (n_ts @ X1 @ X5) @ (n_ts @ X3 @ X5)))))))))), 19.35/3.33 inference(rectify,[],[f272])). 19.35/3.33 thf(f272,axiom,( 19.35/3.33 (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_eq @ (n_fr @ X0 @ X1) @ (n_fr @ (n_ts @ X0 @ X2) @ (n_ts @ X1 @ X2)))))))))), 19.35/3.33 file('/export/starexec/sandbox2/tmp/tmp.ypvxNuAOri/E---3.1_5972.p',satz40b)). 19.35/3.33 thf(f1715,plain,( 19.35/3.33 ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) != (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))), 19.35/3.33 inference(equality_proxy_clausification,[],[f1713])). 19.35/3.33 thf(f1713,plain,( 19.35/3.33 (((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))) = $false)), 19.35/3.33 inference(binary_proxy_clausification,[],[f1712])). 19.35/3.33 thf(f1712,plain,( 19.35/3.33 ($false = ((in @ sK4 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = sK2)) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y0 : $i]: (lessis @ Y0 @ (n_pl @ n_1 @ n_1)))) @ (^[Y0 : $i]: (ind @ nat @ (^[Y1 : $i]: (d_and @ ((Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y1 = (n_ts @ sK2 @ sK4))) @ ((d_not @ (Y0 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y1 = (n_ts @ sK3 @ sK4)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))), 19.35/3.33 inference(beta_eta_normalization,[],[f1711])). 19.35/3.33 thf(f1711,plain,( 19.35/3.33 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1))))))) @ sK4))), 19.35/3.33 inference(sigma_clausification,[],[f1709])). 19.35/3.33 thf(f1709,plain,( 19.35/3.33 ((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))) = (n_ts @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = sK2)) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = sK3))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ n_1)) @ (ap @ (d_Sigma @ (d_Sep @ nat @ (^[Y1 : $i]: (lessis @ Y1 @ (n_pl @ n_1 @ n_1)))) @ (^[Y1 : $i]: (ind @ nat @ (^[Y2 : $i]: (d_and @ ((Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1)) => (Y2 = (n_ts @ sK2 @ Y0))) @ ((d_not @ (Y1 = (outn @ (n_pl @ n_1 @ n_1) @ n_1))) => (Y2 = (n_ts @ sK3 @ Y0)))))))) @ (outn @ (n_pl @ n_1 @ n_1) @ (n_pl @ n_1 @ n_1)))))))) = $false)), 19.35/3.33 inference(binary_proxy_clausification,[],[f1708])). 19.35/3.33 thf(f1714,plain,( 19.35/3.33 ($true = (in @ sK4 @ nat))), 19.35/3.33 inference(binary_proxy_clausification,[],[f1712])). 19.35/3.33 % SZS output end Proof for E---3.1_5972 19.35/3.33 % (6672)------------------------------ 19.35/3.33 % (6672)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200) 19.35/3.33 % (6672)Termination reason: Refutation 19.35/3.33 19.35/3.33 % (6672)Memory used [KB]: 9338 19.35/3.33 % (6672)Time elapsed: 0.285 s 19.35/3.33 % (6672)Instructions burned: 649 (million) 19.35/3.33 % (6672)------------------------------ 19.35/3.33 % (6672)------------------------------ 19.35/3.33 % (6156)Success in time 2.909 s 19.35/3.33 EOF