0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.12 % Command : run_vampire %s %d THM 0.11/0.32 % Computer : n025.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 04:46:34 EDT 2025 0.11/0.33 % CPUTime : 0.17/0.34 This is a THF_ problem 0.17/0.34 Running higher-order theorem proving 0.17/0.41 Running /export/starexec/sandbox/solver/bin/vampire-hol --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --print_def_sorts on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p -m 16384 -t 240 0.24/0.46 % (1866)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on E---3.1_1748 for (2399ds/2Mi) 0.24/0.46 % (1866)Instruction limit reached! 0.24/0.46 % (1866)------------------------------ 0.24/0.46 % (1866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.46 % (1866)Termination reason: Unknown 0.24/0.46 % (1866)Termination phase: shuffling 0.24/0.46 0.24/0.46 % (1866)Memory used [KB]: 1535 0.24/0.46 % (1866)Time elapsed: 0.004 s 0.24/0.46 % (1866)Instructions burned: 3 (million) 0.24/0.46 % (1866)------------------------------ 0.24/0.46 % (1866)------------------------------ 0.24/0.47 % (1865)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_1748 for (2399ds/27Mi) 0.24/0.47 % (1864)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_1748 for (2399ds/4Mi) 0.24/0.47 % (1869)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on E---3.1_1748 for (2399ds/18Mi) 0.24/0.48 % (1864)Instruction limit reached! 0.24/0.48 % (1864)------------------------------ 0.24/0.48 % (1864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (1864)Termination reason: Unknown 0.24/0.48 % (1864)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (1864)Memory used [KB]: 1663 0.24/0.48 % (1864)Time elapsed: 0.004 s 0.24/0.48 % (1864)Instructions burned: 4 (million) 0.24/0.48 % (1864)------------------------------ 0.24/0.48 % (1864)------------------------------ 0.24/0.48 % (1862)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on E---3.1_1748 for (2399ds/183Mi) 0.24/0.48 % (1868)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_1748 for (2399ds/275Mi) 0.24/0.48 % (1870)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_1748 for (2399ds/3Mi) 0.24/0.48 % (1870)Instruction limit reached! 0.24/0.48 % (1870)------------------------------ 0.24/0.48 % (1870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (1870)Termination reason: Unknown 0.24/0.48 % (1870)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (1870)Memory used [KB]: 1663 0.24/0.48 % (1870)Time elapsed: 0.003 s 0.24/0.48 % (1870)Instructions burned: 3 (million) 0.24/0.48 % (1870)------------------------------ 0.24/0.48 % (1870)------------------------------ 0.24/0.48 % (1867)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_1748 for (2399ds/2Mi) 0.24/0.48 % (1867)Instruction limit reached! 0.24/0.48 % (1867)------------------------------ 0.24/0.48 % (1867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.48 % (1867)Termination reason: Unknown 0.24/0.48 % (1867)Termination phase: shuffling 0.24/0.48 0.24/0.48 % (1867)Memory used [KB]: 1535 0.24/0.48 % (1867)Time elapsed: 0.003 s 0.24/0.48 % (1867)Instructions burned: 2 (million) 0.24/0.48 % (1867)------------------------------ 0.24/0.48 % (1867)------------------------------ 0.24/0.49 % (1869)Instruction limit reached! 0.24/0.49 % (1869)------------------------------ 0.24/0.49 % (1869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.49 % (1869)Termination reason: Unknown 0.24/0.49 % (1869)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (1869)Memory used [KB]: 1918 0.24/0.49 % (1869)Time elapsed: 0.016 s 0.24/0.49 % (1869)Instructions burned: 18 (million) 0.24/0.49 % (1869)------------------------------ 0.24/0.49 % (1869)------------------------------ 0.24/0.49 % (1865)Instruction limit reached! 0.24/0.49 % (1865)------------------------------ 0.24/0.49 % (1865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.49 % (1865)Termination reason: Unknown 0.24/0.49 % (1865)Termination phase: shuffling 0.24/0.49 0.24/0.49 % (1865)Memory used [KB]: 2174 0.24/0.49 % (1865)Time elapsed: 0.018 s 0.24/0.49 % (1865)Instructions burned: 27 (million) 0.24/0.49 % (1865)------------------------------ 0.24/0.49 % (1865)------------------------------ 0.24/0.51 % (1874)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_1748 for (2399ds/1041Mi) 0.24/0.51 % (1871)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_1748 for (2399ds/37Mi) 0.24/0.53 % (1873)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_1748 for (2399ds/3Mi) 0.24/0.53 % (1873)Instruction limit reached! 0.24/0.53 % (1873)------------------------------ 0.24/0.53 % (1873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.53 % (1873)Termination reason: Unknown 0.24/0.53 % (1873)Termination phase: shuffling 0.24/0.53 0.24/0.53 % (1873)Memory used [KB]: 1663 0.24/0.53 % (1873)Time elapsed: 0.005 s 0.24/0.53 % (1873)Instructions burned: 4 (million) 0.24/0.53 % (1873)------------------------------ 0.24/0.53 % (1873)------------------------------ 0.24/0.53 % (1872)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_1748 for (2399ds/15Mi) 0.24/0.54 % (1875)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on E---3.1_1748 for (2399ds/7Mi) 0.24/0.54 % (1871)Instruction limit reached! 0.24/0.54 % (1871)------------------------------ 0.24/0.54 % (1871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (1871)Termination reason: Unknown 0.24/0.54 % (1871)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (1871)Memory used [KB]: 2302 0.24/0.54 % (1871)Time elapsed: 0.020 s 0.24/0.54 % (1871)Instructions burned: 38 (million) 0.24/0.54 % (1871)------------------------------ 0.24/0.54 % (1871)------------------------------ 0.24/0.54 % (1872)Instruction limit reached! 0.24/0.54 % (1872)------------------------------ 0.24/0.54 % (1872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (1872)Termination reason: Unknown 0.24/0.54 % (1872)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (1872)Memory used [KB]: 1791 0.24/0.54 % (1872)Time elapsed: 0.011 s 0.24/0.54 % (1872)Instructions burned: 16 (million) 0.24/0.54 % (1872)------------------------------ 0.24/0.54 % (1872)------------------------------ 0.24/0.54 % (1875)Instruction limit reached! 0.24/0.54 % (1875)------------------------------ 0.24/0.54 % (1875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.54 % (1875)Termination reason: Unknown 0.24/0.54 % (1875)Termination phase: shuffling 0.24/0.54 0.24/0.54 % (1875)Memory used [KB]: 1663 0.24/0.54 % (1875)Time elapsed: 0.006 s 0.24/0.54 % (1875)Instructions burned: 7 (million) 0.24/0.54 % (1875)------------------------------ 0.24/0.54 % (1875)------------------------------ 0.24/0.55 % (1868)Refutation not found, incomplete strategy 0.24/0.55 % (1868)------------------------------ 0.24/0.55 % (1868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.55 % (1868)Termination reason: Refutation not found, incomplete strategy 0.24/0.55 0.24/0.55 0.24/0.55 % (1868)Memory used [KB]: 7036 0.24/0.55 % (1868)Time elapsed: 0.093 s 0.24/0.55 % (1868)Instructions burned: 83 (million) 0.24/0.55 % (1868)------------------------------ 0.24/0.55 % (1868)------------------------------ 0.24/0.57 % (1879)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_1748 for (2398ds/7Mi) 0.24/0.57 % (1877)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_1748 for (2398ds/3Mi) 0.24/0.57 % (1879)Instruction limit reached! 0.24/0.57 % (1879)------------------------------ 0.24/0.57 % (1879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.57 % (1879)Termination reason: Unknown 0.24/0.57 % (1879)Termination phase: shuffling 0.24/0.57 0.24/0.57 % (1879)Memory used [KB]: 1663 0.24/0.57 % (1879)Time elapsed: 0.007 s 0.24/0.57 % (1879)Instructions burned: 8 (million) 0.24/0.57 % (1879)------------------------------ 0.24/0.57 % (1879)------------------------------ 0.24/0.57 % (1877)Instruction limit reached! 0.24/0.57 % (1877)------------------------------ 0.24/0.57 % (1877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.24/0.57 % (1877)Termination reason: Unknown 0.24/0.57 % (1877)Termination phase: shuffling 0.24/0.57 0.24/0.57 % (1877)Memory used [KB]: 1663 0.24/0.57 % (1877)Time elapsed: 0.004 s 0.24/0.57 % (1877)Instructions burned: 3 (million) 0.24/0.57 % (1877)------------------------------ 0.24/0.57 % (1877)------------------------------ 0.24/0.57 % (1876)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on E---3.1_1748 for (2398ds/16Mi) 0.71/0.58 % (1878)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_1748 for (2398ds/3Mi) 0.71/0.58 % (1878)Instruction limit reached! 0.71/0.58 % (1878)------------------------------ 0.71/0.58 % (1878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.71/0.58 % (1878)Termination reason: Unknown 0.71/0.58 % (1878)Termination phase: shuffling 0.71/0.58 0.71/0.58 % (1878)Memory used [KB]: 1663 0.71/0.58 % (1878)Time elapsed: 0.003 s 0.71/0.58 % (1878)Instructions burned: 3 (million) 0.71/0.58 % (1878)------------------------------ 0.71/0.58 % (1878)------------------------------ 0.71/0.58 % (1876)Instruction limit reached! 0.71/0.58 % (1876)------------------------------ 0.71/0.58 % (1876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.71/0.58 % (1876)Termination reason: Unknown 0.71/0.58 % (1876)Termination phase: shuffling 0.71/0.58 0.71/0.58 % (1876)Memory used [KB]: 1791 0.71/0.58 % (1876)Time elapsed: 0.010 s 0.71/0.58 % (1876)Instructions burned: 17 (million) 0.71/0.58 % (1876)------------------------------ 0.71/0.58 % (1876)------------------------------ 0.79/0.60 % (1882)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on E---3.1_1748 for (2398ds/4Mi) 0.79/0.61 % (1882)Instruction limit reached! 0.79/0.61 % (1882)------------------------------ 0.79/0.61 % (1882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.61 % (1882)Termination reason: Unknown 0.79/0.61 % (1882)Termination phase: shuffling 0.79/0.61 0.79/0.61 % (1882)Memory used [KB]: 1663 0.79/0.61 % (1882)Time elapsed: 0.004 s 0.79/0.61 % (1882)Instructions burned: 4 (million) 0.79/0.61 % (1882)------------------------------ 0.79/0.61 % (1882)------------------------------ 0.79/0.61 % (1884)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on E---3.1_1748 for (2398ds/710Mi) 0.79/0.61 % (1883)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_1748 for (2398ds/18Mi) 0.79/0.61 % (1881)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_1748 for (2398ds/3Mi) 0.79/0.61 % (1881)Instruction limit reached! 0.79/0.61 % (1881)------------------------------ 0.79/0.61 % (1881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.61 % (1881)Termination reason: Unknown 0.79/0.61 % (1881)Termination phase: shuffling 0.79/0.61 0.79/0.61 % (1881)Memory used [KB]: 1535 0.79/0.61 % (1881)Time elapsed: 0.004 s 0.79/0.61 % (1881)Instructions burned: 3 (million) 0.79/0.61 % (1881)------------------------------ 0.79/0.61 % (1881)------------------------------ 0.79/0.62 % (1883)Instruction limit reached! 0.79/0.62 % (1883)------------------------------ 0.79/0.62 % (1883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.62 % (1883)Termination reason: Unknown 0.79/0.62 % (1883)Termination phase: shuffling 0.79/0.62 0.79/0.62 % (1883)Memory used [KB]: 1791 0.79/0.62 % (1883)Time elapsed: 0.012 s 0.79/0.62 % (1883)Instructions burned: 19 (million) 0.79/0.62 % (1883)------------------------------ 0.79/0.62 % (1883)------------------------------ 0.79/0.63 % (1885)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on E---3.1_1748 for (2398ds/6Mi) 0.79/0.63 % (1885)Instruction limit reached! 0.79/0.63 % (1885)------------------------------ 0.79/0.63 % (1885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.63 % (1862)Instruction limit reached! 0.79/0.63 % (1862)------------------------------ 0.79/0.63 % (1862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.79/0.63 % (1862)Termination reason: Unknown 0.79/0.63 % (1862)Termination phase: Saturation 0.79/0.63 0.79/0.63 % (1862)Memory used [KB]: 7675 0.79/0.63 % (1862)Time elapsed: 0.108 s 0.79/0.63 % (1862)Instructions burned: 184 (million) 0.79/0.63 % (1862)------------------------------ 0.79/0.63 % (1862)------------------------------ 0.92/0.64 % (1888)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_1748 for (2398ds/21Mi) 0.92/0.64 % (1885)Termination reason: Unknown 0.92/0.64 % (1885)Termination phase: shuffling 0.92/0.64 0.92/0.64 % (1885)Memory used [KB]: 1663 0.92/0.64 % (1885)Time elapsed: 0.005 s 0.92/0.64 % (1885)Instructions burned: 6 (million) 0.92/0.64 % (1885)------------------------------ 0.92/0.64 % (1885)------------------------------ 0.92/0.65 % (1887)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_1748 for (2398ds/902Mi) 0.92/0.65 % (1890)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_1748 for (2397ds/6Mi) 0.92/0.65 % (1890)Instruction limit reached! 0.92/0.65 % (1890)------------------------------ 0.92/0.65 % (1890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.65 % (1890)Termination reason: Unknown 0.92/0.65 % (1890)Termination phase: shuffling 0.92/0.65 0.92/0.65 % (1890)Memory used [KB]: 1663 0.92/0.65 % (1890)Time elapsed: 0.005 s 0.92/0.65 % (1890)Instructions burned: 7 (million) 0.92/0.65 % (1890)------------------------------ 0.92/0.65 % (1890)------------------------------ 0.92/0.66 % (1888)Instruction limit reached! 0.92/0.66 % (1888)------------------------------ 0.92/0.66 % (1888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.66 % (1888)Termination reason: Unknown 0.92/0.66 % (1888)Termination phase: shuffling 0.92/0.66 0.92/0.66 % (1888)Memory used [KB]: 1918 0.92/0.66 % (1888)Time elapsed: 0.014 s 0.92/0.66 % (1888)Instructions burned: 21 (million) 0.92/0.66 % (1888)------------------------------ 0.92/0.66 % (1888)------------------------------ 0.92/0.67 % (1889)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on E---3.1_1748 for (2398ds/5Mi) 0.92/0.67 % (1889)Instruction limit reached! 0.92/0.67 % (1889)------------------------------ 0.92/0.67 % (1889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 0.92/0.67 % (1889)Termination reason: Unknown 0.92/0.67 % (1889)Termination phase: shuffling 0.92/0.67 0.92/0.67 % (1889)Memory used [KB]: 1663 0.92/0.67 % (1889)Time elapsed: 0.005 s 0.92/0.67 % (1889)Instructions burned: 5 (million) 0.92/0.67 % (1889)------------------------------ 0.92/0.67 % (1889)------------------------------ 0.92/0.67 % (1892)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_1748 for (2397ds/779Mi) 0.92/0.67 % (1891)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on E---3.1_1748 for (2397ds/377Mi) 0.92/0.69 % (1884)First to succeed. 1.03/0.70 % (1893)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_1748 for (2397ds/19Mi) 1.03/0.71 % (1884)Refutation found. Thanks to Tanya! 1.03/0.71 % SZS status Theorem for E---3.1_1748 1.03/0.71 % SZS output start Proof for E---3.1_1748 1.03/0.71 thf(type_def_5, type, set_nat: $tType). 1.03/0.71 thf(type_def_7, type, set_Pr1647387645at_nat: $tType). 1.03/0.71 thf(type_def_8, type, set_Pr1986765409at_nat: $tType). 1.03/0.71 thf(type_def_9, type, set_Pr1490359111at_nat: $tType). 1.03/0.71 thf(type_def_10, type, set_Pr9961929at_nat: $tType). 1.03/0.71 thf(type_def_11, type, set_Product_prod_b_b: $tType). 1.03/0.71 thf(type_def_12, type, set_b: $tType). 1.03/0.71 thf(type_def_13, type, allego510293162tant_a: $tType). 1.03/0.71 thf(type_def_14, type, allego1565409692at_nat: $tType). 1.03/0.71 thf(type_def_15, type, allegorical_term_b: $tType). 1.03/0.71 thf(type_def_16, type, labeled_graph_b_nat: $tType). 1.03/0.71 thf(type_def_17, type, labele935650037_a_nat: $tType). 1.03/0.71 thf(type_def_18, type, labele1835409643at_nat: $tType). 1.03/0.71 thf(type_def_19, type, set_Pr1163220871term_b: $tType). 1.03/0.71 thf(type_def_20, type, set_Pr1987088711_a_nat: $tType). 1.03/0.71 thf(type_def_21, type, set_Pr551076371_b_nat: $tType). 1.03/0.71 thf(type_def_22, type, set_Pr2041158302at_nat: $tType). 1.03/0.71 thf(type_def_23, type, produc1871334759_a_nat: $tType). 1.03/0.71 thf(type_def_24, type, nat: $tType). 1.03/0.71 thf(type_def_25, type, produc1478835367term_b: $tType). 1.03/0.71 thf(type_def_26, type, produc1391440311at_nat: $tType). 1.03/0.71 thf(type_def_27, type, produc1235635379_b_nat: $tType). 1.03/0.71 thf(type_def_28, type, product_prod_nat_nat: $tType). 1.03/0.71 thf(type_def_29, type, produc1116408039term_b: $tType). 1.03/0.71 thf(type_def_30, type, produc398057191_a_nat: $tType). 1.03/0.71 thf(type_def_31, type, produc446386919_b_nat: $tType). 1.03/0.71 thf(type_def_32, type, produc842455143at_nat: $tType). 1.03/0.71 thf(type_def_33, type, produc116665063_a_nat: $tType). 1.03/0.71 thf(type_def_34, type, set_al1193902458term_b: $tType). 1.03/0.71 thf(type_def_35, type, set_la1083530965_a_nat: $tType). 1.03/0.71 thf(type_def_36, type, set_la1976028319_b_nat: $tType). 1.03/0.71 thf(type_def_37, type, set_Pr1839611079term_b: $tType). 1.03/0.71 thf(type_def_38, type, set_Pr924198087_a_nat: $tType). 1.03/0.71 thf(type_def_39, type, set_Pr1173424071_b_nat: $tType). 1.03/0.71 thf(type_def_40, type, set_Pr2123625671_a_nat: $tType). 1.03/0.71 thf(type_def_41, type, set_Pr665622551at_nat: $tType). 1.03/0.71 thf(type_def_42, type, itself_nat: $tType). 1.03/0.71 thf(type_def_43, type, set_a: $tType). 1.03/0.71 thf(type_def_44, type, set_St761939237tant_a: $tType). 1.03/0.71 thf(type_def_45, type, standard_Constant_a: $tType). 1.03/0.71 thf(type_def_46, type, b: $tType). 1.03/0.71 thf(func_def_0, type, set_Pr2123625671_a_nat: $tType). 1.03/0.71 thf(func_def_1, type, produc116665063_a_nat: $tType). 1.03/0.71 thf(func_def_2, type, set_Pr924198087_a_nat: $tType). 1.03/0.71 thf(func_def_3, type, produc398057191_a_nat: $tType). 1.03/0.71 thf(func_def_4, type, set_Pr1173424071_b_nat: $tType). 1.03/0.71 thf(func_def_5, type, set_Pr1839611079term_b: $tType). 1.03/0.71 thf(func_def_6, type, produc446386919_b_nat: $tType). 1.03/0.71 thf(func_def_7, type, produc1116408039term_b: $tType). 1.03/0.71 thf(func_def_8, type, set_Pr1987088711_a_nat: $tType). 1.03/0.71 thf(func_def_9, type, set_Pr665622551at_nat: $tType). 1.03/0.71 thf(func_def_10, type, produc1871334759_a_nat: $tType). 1.03/0.71 thf(func_def_11, type, produc1391440311at_nat: $tType). 1.03/0.71 thf(func_def_12, type, set_Pr551076371_b_nat: $tType). 1.03/0.71 thf(func_def_13, type, set_Pr1647387645at_nat: $tType). 1.03/0.71 thf(func_def_14, type, set_Pr1490359111at_nat: $tType). 1.03/0.71 thf(func_def_15, type, set_Pr1163220871term_b: $tType). 1.03/0.71 thf(func_def_16, type, set_Pr2041158302at_nat: $tType). 1.03/0.71 thf(func_def_17, type, produc1235635379_b_nat: $tType). 1.03/0.71 thf(func_def_18, type, produc842455143at_nat: $tType). 1.03/0.71 thf(func_def_19, type, produc1478835367term_b: $tType). 1.03/0.71 thf(func_def_20, type, set_la1083530965_a_nat: $tType). 1.03/0.71 thf(func_def_21, type, labele935650037_a_nat: $tType). 1.03/0.71 thf(func_def_22, type, labele1835409643at_nat: $tType). 1.03/0.71 thf(func_def_23, type, set_Pr9961929at_nat: $tType). 1.03/0.71 thf(func_def_24, type, allego510293162tant_a: $tType). 1.03/0.71 thf(func_def_25, type, allego1565409692at_nat: $tType). 1.03/0.71 thf(func_def_26, type, set_la1976028319_b_nat: $tType). 1.03/0.71 thf(func_def_27, type, set_St761939237tant_a: $tType). 1.03/0.71 thf(func_def_28, type, set_Pr1986765409at_nat: $tType). 1.03/0.71 thf(func_def_29, type, set_al1193902458term_b: $tType). 1.03/0.71 thf(func_def_30, type, labeled_graph_b_nat: $tType). 1.03/0.71 thf(func_def_31, type, set_Product_prod_b_b: $tType). 1.03/0.71 thf(func_def_32, type, standard_Constant_a: $tType). 1.03/0.71 thf(func_def_33, type, product_prod_nat_nat: $tType). 1.03/0.71 thf(func_def_34, type, allegorical_term_b: $tType). 1.03/0.71 thf(func_def_35, type, set_nat: $tType). 1.03/0.71 thf(func_def_36, type, itself_nat: $tType). 1.03/0.71 thf(func_def_37, type, set_b: $tType). 1.03/0.71 thf(func_def_38, type, set_a: $tType). 1.03/0.71 thf(func_def_39, type, nat: $tType). 1.03/0.71 thf(func_def_40, type, b: $tType). 1.03/0.71 thf(func_def_41, type, finite_finite_nat: set_nat > $o). 1.03/0.71 thf(func_def_42, type, finite1242387294at_nat: set_Pr1647387645at_nat > $o). 1.03/0.71 thf(func_def_43, type, finite772653738at_nat: set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_44, type, finite48957584at_nat: set_Pr1490359111at_nat > $o). 1.03/0.71 thf(func_def_45, type, finite1987068434at_nat: set_Pr9961929at_nat > $o). 1.03/0.71 thf(func_def_46, type, finite1015599120od_b_b: set_Product_prod_b_b > $o). 1.03/0.71 thf(func_def_47, type, finite_finite_b: set_b > $o). 1.03/0.71 thf(func_def_48, type, allego745587551tant_a: allego510293162tant_a > allego510293162tant_a > allego510293162tant_a). 1.03/0.71 thf(func_def_49, type, allego266765201at_nat: allego1565409692at_nat > allego1565409692at_nat > allego1565409692at_nat). 1.03/0.71 thf(func_def_50, type, allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b). 1.03/0.71 thf(func_def_51, type, semantics_b_nat: labeled_graph_b_nat > allegorical_term_b > set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_52, type, graph_2130075512at_nat: labele935650037_a_nat > labele935650037_a_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_53, type, graph_2111906684at_nat: labele1835409643at_nat > labele1835409643at_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_54, type, graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_55, type, graph_union_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_56, type, labeled_LG_b_nat: set_Pr9961929at_nat > set_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_57, type, labele195203296_a_nat: labele935650037_a_nat > set_Pr1647387645at_nat). 1.03/0.71 thf(func_def_58, type, labele2032268018at_nat: labele1835409643at_nat > set_Pr1490359111at_nat). 1.03/0.71 thf(func_def_59, type, labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat). 1.03/0.71 thf(func_def_60, type, labele1810595089_a_nat: labele935650037_a_nat > set_nat). 1.03/0.71 thf(func_def_61, type, labele560327297at_nat: labele1835409643at_nat > set_nat). 1.03/0.71 thf(func_def_62, type, labele460410879_b_nat: labeled_graph_b_nat > set_nat). 1.03/0.71 thf(func_def_63, type, restri572569417_a_nat: labele935650037_a_nat > labele935650037_a_nat). 1.03/0.71 thf(func_def_64, type, restri321299017at_nat: labele1835409643at_nat > labele1835409643at_nat). 1.03/0.71 thf(func_def_65, type, restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_66, type, unival1191217828term_b: set_Pr1163220871term_b > $o). 1.03/0.71 thf(func_def_67, type, unival1637751524_a_nat: set_Pr1987088711_a_nat > $o). 1.03/0.71 thf(func_def_68, type, unival857119480_b_nat: set_Pr551076371_b_nat > $o). 1.03/0.71 thf(func_def_69, type, univalent_nat_nat: set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_70, type, unival633212949at_nat: set_Pr2041158302at_nat > $o). 1.03/0.71 thf(func_def_71, type, unival989235430at_nat: set_Pr9961929at_nat > $o). 1.03/0.71 thf(func_def_72, type, bot_bo1024461546_nat_o: produc1871334759_a_nat > $o). 1.03/0.71 thf(func_def_73, type, bot_bot_nat: nat). 1.03/0.71 thf(func_def_74, type, bot_bot_set_nat: set_nat). 1.03/0.71 thf(func_def_75, type, bot_bo1836341171_a_nat: set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_76, type, bot_bo2130386637at_nat: set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_77, type, bot_bo1626616373at_nat: set_Pr9961929at_nat). 1.03/0.71 thf(func_def_78, type, ord_less_eq_nat: nat > nat > $o). 1.03/0.71 thf(func_def_79, type, ord_less_eq_set_nat: set_nat > set_nat > $o). 1.03/0.71 thf(func_def_80, type, ord_le138473255term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > $o). 1.03/0.71 thf(func_def_81, type, ord_le1718765799_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > $o). 1.03/0.71 thf(func_def_82, type, ord_le13035955_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > $o). 1.03/0.71 thf(func_def_83, type, ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_84, type, ord_le910748009at_nat: set_Pr9961929at_nat > set_Pr9961929at_nat > $o). 1.03/0.71 thf(func_def_85, type, produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b). 1.03/0.71 thf(func_def_86, type, produc1676969687_a_nat: labele935650037_a_nat > labele935650037_a_nat > produc1871334759_a_nat). 1.03/0.71 thf(func_def_87, type, produc590202991at_nat: labele1835409643at_nat > labele1835409643at_nat > produc1391440311at_nat). 1.03/0.71 thf(func_def_88, type, produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat). 1.03/0.71 thf(func_def_89, type, product_Pair_nat_nat: nat > nat > product_prod_nat_nat). 1.03/0.71 thf(func_def_90, type, produc859843415term_b: produc1478835367term_b > produc1478835367term_b > produc1116408039term_b). 1.03/0.71 thf(func_def_91, type, produc1677124439_a_nat: produc1871334759_a_nat > produc1871334759_a_nat > produc398057191_a_nat). 1.03/0.71 thf(func_def_92, type, produc1754969175_b_nat: produc1235635379_b_nat > produc1235635379_b_nat > produc446386919_b_nat). 1.03/0.71 thf(func_def_93, type, produc1168807639at_nat: product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat). 1.03/0.71 thf(func_def_94, type, produc170611543_a_nat: produc398057191_a_nat > produc398057191_a_nat > produc116665063_a_nat). 1.03/0.71 thf(func_def_95, type, produc854192515term_b: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_96, type, produc719117507_a_nat: produc1871334759_a_nat > labele935650037_a_nat). 1.03/0.71 thf(func_def_97, type, produc1995789403at_nat: produc1391440311at_nat > labele1835409643at_nat). 1.03/0.71 thf(func_def_98, type, produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_99, type, product_fst_nat_nat: product_prod_nat_nat > nat). 1.03/0.71 thf(func_def_100, type, produc1049080131_a_nat: produc398057191_a_nat > produc1871334759_a_nat). 1.03/0.71 thf(func_def_101, type, produc1223098053term_b: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_102, type, produc880161797_a_nat: produc1871334759_a_nat > labele935650037_a_nat). 1.03/0.71 thf(func_def_103, type, produc1564126365at_nat: produc1391440311at_nat > labele1835409643at_nat). 1.03/0.71 thf(func_def_104, type, produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_105, type, product_snd_nat_nat: product_prod_nat_nat > nat). 1.03/0.71 thf(func_def_106, type, produc1022852229_a_nat: produc398057191_a_nat > produc1871334759_a_nat). 1.03/0.71 thf(func_def_107, type, domain859272460term_b: set_Pr1163220871term_b > set_al1193902458term_b). 1.03/0.71 thf(func_def_108, type, domain1068567884_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat). 1.03/0.71 thf(func_def_109, type, domain767519072_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat). 1.03/0.71 thf(func_def_110, type, domain_nat_nat: set_Pr1986765409at_nat > set_nat). 1.03/0.71 thf(func_def_111, type, domain1101989710at_nat: set_Pr9961929at_nat > set_b). 1.03/0.71 thf(func_def_112, type, id_on_1536886967term_b: set_al1193902458term_b > set_Pr1163220871term_b). 1.03/0.71 thf(func_def_113, type, id_on_689842066_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_114, type, id_on_583275916_b_nat: set_la1976028319_b_nat > set_Pr551076371_b_nat). 1.03/0.71 thf(func_def_115, type, id_on_nat: set_nat > set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_116, type, id_on_1664915780term_b: set_Pr1163220871term_b > set_Pr1839611079term_b). 1.03/0.71 thf(func_def_117, type, id_on_1651096324_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat). 1.03/0.71 thf(func_def_118, type, id_on_138931664_b_nat: set_Pr551076371_b_nat > set_Pr1173424071_b_nat). 1.03/0.71 thf(func_def_119, type, id_on_2144791838at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat). 1.03/0.71 thf(func_def_120, type, id_on_1395957380_a_nat: set_Pr924198087_a_nat > set_Pr2123625671_a_nat). 1.03/0.71 thf(func_def_121, type, image_329221075term_b: set_Pr1163220871term_b > set_al1193902458term_b > set_al1193902458term_b). 1.03/0.71 thf(func_def_122, type, image_1971191571_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat). 1.03/0.71 thf(func_def_123, type, image_1183964583_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat > set_la1976028319_b_nat). 1.03/0.71 thf(func_def_124, type, image_nat_nat: set_Pr1986765409at_nat > set_nat > set_nat). 1.03/0.71 thf(func_def_125, type, image_1168831379_a_nat: set_Pr924198087_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_126, type, image_1356842150at_nat: set_Pr2041158302at_nat > set_Pr9961929at_nat > set_nat). 1.03/0.71 thf(func_def_127, type, image_2112855445at_nat: set_Pr9961929at_nat > set_b > set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_128, type, relcom1955155673term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > set_Pr1163220871term_b). 1.03/0.71 thf(func_def_129, type, relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_130, type, relcom1426860350_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > set_Pr551076371_b_nat). 1.03/0.71 thf(func_def_131, type, relcomp_nat_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_132, type, relcom195261566at_nat: set_Pr9961929at_nat > set_Pr1490359111at_nat > set_Pr9961929at_nat). 1.03/0.71 thf(func_def_133, type, relcom14055552at_nat: set_Product_prod_b_b > set_Pr9961929at_nat > set_Pr9961929at_nat). 1.03/0.71 thf(func_def_134, type, inv_translation: set_nat > $o). 1.03/0.71 thf(func_def_135, type, transl1275713022tant_a: allego510293162tant_a > labele935650037_a_nat). 1.03/0.71 thf(func_def_136, type, transl490985778at_nat: allego1565409692at_nat > labele1835409643at_nat). 1.03/0.71 thf(func_def_137, type, translation_b: allegorical_term_b > labeled_graph_b_nat). 1.03/0.71 thf(func_def_138, type, agree_on_b_nat_nat: labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_139, type, chain_b_nat: (nat > labeled_graph_b_nat) > $o). 1.03/0.71 thf(func_def_140, type, chain_sup_b_nat: (nat > labeled_graph_b_nat) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_141, type, conseq1730780375at_nat: set_Pr551076371_b_nat > labeled_graph_b_nat > $o). 1.03/0.71 thf(func_def_142, type, extensible_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_143, type, fair_chain_b_nat_nat: set_Pr551076371_b_nat > (nat > labeled_graph_b_nat) > $o). 1.03/0.71 thf(func_def_144, type, fin_ma971967913at_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o). 1.03/0.71 thf(func_def_145, type, maintained_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o). 1.03/0.71 thf(func_def_146, type, set_of1384085797_a_nat: set_Pr1987088711_a_nat > $o). 1.03/0.71 thf(func_def_147, type, set_of195930477at_nat: set_Pr665622551at_nat > $o). 1.03/0.71 thf(func_def_148, type, set_of41538795_b_nat: set_Pr551076371_b_nat > $o). 1.03/0.71 thf(func_def_149, type, weak_u2026406106at_nat: itself_nat > produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_150, type, collect_nat: (nat > $o) > set_nat). 1.03/0.71 thf(func_def_151, type, collec135640594term_b: (produc1478835367term_b > $o) > set_Pr1163220871term_b). 1.03/0.71 thf(func_def_152, type, collec357096914_a_nat: (produc1871334759_a_nat > $o) > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_153, type, collec1615000990_b_nat: (produc1235635379_b_nat > $o) > set_Pr551076371_b_nat). 1.03/0.71 thf(func_def_154, type, collec7649004at_nat: (product_prod_nat_nat > $o) > set_Pr1986765409at_nat). 1.03/0.71 thf(func_def_155, type, collec1701899602_a_nat: (produc398057191_a_nat > $o) > set_Pr924198087_a_nat). 1.03/0.71 thf(func_def_156, type, standa1897115818ules_a: set_a > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_157, type, standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat). 1.03/0.71 thf(func_def_158, type, standa1410829644tant_a: produc1871334759_a_nat). 1.03/0.71 thf(func_def_159, type, standa214789732at_nat: produc1391440311at_nat). 1.03/0.71 thf(func_def_160, type, standa879863266rule_b: produc1235635379_b_nat). 1.03/0.71 thf(func_def_161, type, standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat). 1.03/0.71 thf(func_def_162, type, standa2131591247at_nat: product_prod_nat_nat > produc1391440311at_nat). 1.03/0.71 thf(func_def_163, type, standa1329480013rule_b: b > produc1235635379_b_nat). 1.03/0.71 thf(func_def_164, type, standa305748545tant_a: standard_Constant_a > produc1871334759_a_nat). 1.03/0.71 thf(func_def_165, type, standa153097263at_nat: product_prod_nat_nat > produc1391440311at_nat). 1.03/0.71 thf(func_def_166, type, standa1360217389rule_b: b > produc1235635379_b_nat). 1.03/0.71 thf(func_def_167, type, member93680451term_b: allegorical_term_b > set_al1193902458term_b > $o). 1.03/0.71 thf(func_def_168, type, member964390942_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > $o). 1.03/0.71 thf(func_def_169, type, member1483953152_b_nat: labeled_graph_b_nat > set_la1976028319_b_nat > $o). 1.03/0.71 thf(func_def_170, type, member_nat: nat > set_nat > $o). 1.03/0.71 thf(func_def_171, type, member516522448term_b: produc1478835367term_b > set_Pr1163220871term_b > $o). 1.03/0.71 thf(func_def_172, type, member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o). 1.03/0.71 thf(func_def_173, type, member1129678944at_nat: produc1391440311at_nat > set_Pr665622551at_nat > $o). 1.03/0.71 thf(func_def_174, type, member963855452_b_nat: produc1235635379_b_nat > set_Pr551076371_b_nat > $o). 1.03/0.71 thf(func_def_175, type, member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o). 1.03/0.71 thf(func_def_176, type, member1449757456term_b: produc1116408039term_b > set_Pr1839611079term_b > $o). 1.03/0.71 thf(func_def_177, type, member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o). 1.03/0.71 thf(func_def_178, type, member889223696_b_nat: produc446386919_b_nat > set_Pr1173424071_b_nat > $o). 1.03/0.71 thf(func_def_179, type, member2027625872at_nat: produc842455143at_nat > set_Pr1490359111at_nat > $o). 1.03/0.71 thf(func_def_180, type, member829905680_a_nat: produc116665063_a_nat > set_Pr2123625671_a_nat > $o). 1.03/0.71 thf(func_def_181, type, c: set_a). 1.03/0.71 thf(func_def_182, type, u: allegorical_term_b). 1.03/0.71 thf(func_def_183, type, v: allegorical_term_b). 1.03/0.71 thf(func_def_184, type, x: produc1871334759_a_nat). 1.03/0.71 thf(func_def_201, type, sK0: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_202, type, sK1: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_203, type, sK2: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_204, type, sK3: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_205, type, sK4: produc1478835367term_b > allegorical_term_b > allegorical_term_b). 1.03/0.71 thf(func_def_206, type, sK5: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_207, type, sK6: (produc1235635379_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_208, type, sK7: (produc1235635379_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_209, type, sK8: produc1478835367term_b > allegorical_term_b > allegorical_term_b). 1.03/0.71 thf(func_def_210, type, sK9: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_211, type, sK10: produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(func_def_212, type, sK11: (produc1478835367term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_213, type, sK12: (produc1478835367term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_214, type, sK13: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_215, type, sK14: produc1478835367term_b > allegorical_term_b). 1.03/0.71 thf(func_def_216, type, sK15: (labeled_graph_b_nat > labeled_graph_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_217, type, sK16: (labeled_graph_b_nat > labeled_graph_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_218, type, sK17: (produc1235635379_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_219, type, sK18: (produc1235635379_b_nat > $o) > labeled_graph_b_nat). 1.03/0.71 thf(func_def_220, type, sK19: (produc1478835367term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_221, type, sK20: (produc1478835367term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_222, type, sK21: (allegorical_term_b > allegorical_term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_223, type, sK22: (allegorical_term_b > allegorical_term_b > $o) > allegorical_term_b). 1.03/0.71 thf(func_def_224, type, sK23: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat). 1.03/0.71 thf(f1186,plain,( 1.03/0.71 $false), 1.03/0.71 inference(subsumption_resolution,[status(thm)],[f1185,f1154])). 1.03/0.71 thf(f1154,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (($true = (graph_529870330at_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ X1)))))) )), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1153,f1125])). 1.03/0.71 thf(f1125,plain,( 1.03/0.71 ( ! [X2 : labeled_graph_b_nat,X0 : labeled_graph_b_nat] : (((produc194497945_b_nat @ (produc951298923_b_nat @ X0 @ X2)) = X2)) )), 1.03/0.71 inference(equality_resolution,[status(thm)],[f1047])). 1.03/0.71 thf(f1047,plain,( 1.03/0.71 ( ! [X2 : labeled_graph_b_nat,X0 : labeled_graph_b_nat,X1 : produc1235635379_b_nat] : (((produc194497945_b_nat @ X1) = X2) | ((produc951298923_b_nat @ X0 @ X2) != X1)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f969])). 1.03/0.71 thf(f969,plain,( 1.03/0.71 ! [X0 : labeled_graph_b_nat,X1 : produc1235635379_b_nat,X2 : labeled_graph_b_nat] : (((produc194497945_b_nat @ X1) = X2) | ((produc951298923_b_nat @ X0 @ X2) != X1))), 1.03/0.71 inference(ennf_transformation,[status(thm)],[f931])). 1.03/0.71 thf(f931,plain,( 1.03/0.71 ! [X0 : labeled_graph_b_nat,X1 : produc1235635379_b_nat,X2 : labeled_graph_b_nat] : (((produc951298923_b_nat @ X0 @ X2) = X1) => ((produc194497945_b_nat @ X1) = X2))), 1.03/0.71 inference(rectify,[status(thm)],[f103])). 1.03/0.71 thf(f103,axiom,( 1.03/0.71 ! [X21 : labeled_graph_b_nat,X20 : produc1235635379_b_nat,X22 : labeled_graph_b_nat] : (((produc951298923_b_nat @ X21 @ X22) = X20) => ((produc194497945_b_nat @ X20) = X22))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_181_sndI)). 1.03/0.71 thf(f1153,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (($true = (graph_529870330at_nat @ (translation_b @ X1) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ X1)))))) )), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1046,f1073])). 1.03/0.71 thf(f1073,plain,( 1.03/0.71 ( ! [X0 : labeled_graph_b_nat,X1 : labeled_graph_b_nat] : (((produc1542243159_b_nat @ (produc951298923_b_nat @ X0 @ X1)) = X0)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f925])). 1.03/0.71 thf(f925,plain,( 1.03/0.71 ! [X0 : labeled_graph_b_nat,X1 : labeled_graph_b_nat] : ((produc1542243159_b_nat @ (produc951298923_b_nat @ X0 @ X1)) = X0)), 1.03/0.71 inference(rectify,[status(thm)],[f11])). 1.03/0.71 thf(f11,axiom,( 1.03/0.71 ! [X17 : labeled_graph_b_nat,X18 : labeled_graph_b_nat] : ((produc1542243159_b_nat @ (produc951298923_b_nat @ X17 @ X18)) = X17)), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_75_fst__conv)). 1.03/0.71 thf(f1046,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (($true = (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))))))) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f457])). 1.03/0.71 thf(f457,plain,( 1.03/0.71 ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (($true = (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))))))) & ($true = (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))))) & ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))))) = $true) & ((restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))) = (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))))), 1.03/0.71 inference(fool_elimination,[status(thm)],[f456])). 1.03/0.71 thf(f456,plain,( 1.03/0.71 ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (((restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))) = (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))) & (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))))) & (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))))) & (finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))))))), 1.03/0.71 inference(rectify,[status(thm)],[f53])). 1.03/0.71 thf(f53,axiom,( 1.03/0.71 ! [X63 : allegorical_term_b,X59 : allegorical_term_b] : (((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))) = (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))))) & (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63))))))) & (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))))) & (finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X59) @ (translation_b @ (allegorical_A_Int_b @ X59 @ X63)))))))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_3_graph__rule__translation)). 1.03/0.71 thf(f1185,plain,( 1.03/0.71 ((graph_529870330at_nat @ (translation_b @ u) @ (translation_b @ (allegorical_A_Int_b @ u @ v)) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u)))) != $true)), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1184,f1126])). 1.03/0.71 thf(f1126,plain,( 1.03/0.71 ( ! [X2 : allegorical_term_b,X1 : allegorical_term_b] : (((produc1223098053term_b @ (produc1990145943term_b @ X1 @ X2)) = X2)) )), 1.03/0.71 inference(equality_resolution,[status(thm)],[f1048])). 1.03/0.71 thf(f1048,plain,( 1.03/0.71 ( ! [X2 : allegorical_term_b,X0 : allegorical_term_b,X1 : allegorical_term_b] : ((X0 = X2) | ((produc1223098053term_b @ (produc1990145943term_b @ X1 @ X2)) != X0)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f974])). 1.03/0.71 thf(f974,plain,( 1.03/0.71 ! [X0 : allegorical_term_b,X1 : allegorical_term_b,X2 : allegorical_term_b] : ((X0 = X2) | ((produc1223098053term_b @ (produc1990145943term_b @ X1 @ X2)) != X0))), 1.03/0.71 inference(ennf_transformation,[status(thm)],[f927])). 1.03/0.71 thf(f927,plain,( 1.03/0.71 ! [X0 : allegorical_term_b,X1 : allegorical_term_b,X2 : allegorical_term_b] : (((produc1223098053term_b @ (produc1990145943term_b @ X1 @ X2)) = X0) => (X0 = X2))), 1.03/0.71 inference(rectify,[status(thm)],[f229])). 1.03/0.71 thf(f229,axiom,( 1.03/0.71 ! [X0 : allegorical_term_b,X20 : allegorical_term_b,X21 : allegorical_term_b] : (((produc1223098053term_b @ (produc1990145943term_b @ X20 @ X21)) = X0) => (X0 = X21))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_90_snd__eqD)). 1.03/0.71 thf(f1184,plain,( 1.03/0.71 ($true != (graph_529870330at_nat @ (translation_b @ u) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u)))))), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1183,f1125])). 1.03/0.71 thf(f1183,plain,( 1.03/0.71 ((graph_529870330at_nat @ (translation_b @ u) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ u) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ u)))) != $true)), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1182,f1122])). 1.03/0.71 thf(f1122,plain,( 1.03/0.71 ( ! [X2 : allegorical_term_b,X1 : allegorical_term_b] : (((produc854192515term_b @ (produc1990145943term_b @ X1 @ X2)) = X1)) )), 1.03/0.71 inference(equality_resolution,[status(thm)],[f1036])). 1.03/0.71 thf(f1036,plain,( 1.03/0.71 ( ! [X2 : allegorical_term_b,X0 : produc1478835367term_b,X1 : allegorical_term_b] : (((produc854192515term_b @ X0) = X1) | ((produc1990145943term_b @ X1 @ X2) != X0)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f953])). 1.03/0.71 thf(f953,plain,( 1.03/0.71 ! [X0 : produc1478835367term_b,X1 : allegorical_term_b,X2 : allegorical_term_b] : (((produc854192515term_b @ X0) = X1) | ((produc1990145943term_b @ X1 @ X2) != X0))), 1.03/0.71 inference(ennf_transformation,[status(thm)],[f921])). 1.03/0.71 thf(f921,plain,( 1.03/0.71 ! [X0 : produc1478835367term_b,X1 : allegorical_term_b,X2 : allegorical_term_b] : (((produc1990145943term_b @ X1 @ X2) = X0) => ((produc854192515term_b @ X0) = X1))), 1.03/0.71 inference(rectify,[status(thm)],[f115])). 1.03/0.71 thf(f115,axiom,( 1.03/0.71 ! [X20 : produc1478835367term_b,X21 : allegorical_term_b,X22 : allegorical_term_b] : (((produc1990145943term_b @ X21 @ X22) = X20) => ((produc854192515term_b @ X20) = X21))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_187_fstI)). 1.03/0.71 thf(f1182,plain,( 1.03/0.71 ($true != (graph_529870330at_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1181,f1073])). 1.03/0.71 thf(f1181,plain,( 1.03/0.71 ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(subsumption_resolution,[status(thm)],[f1180,f1157])). 1.03/0.71 thf(f1157,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (((translation_b @ (allegorical_A_Int_b @ X1 @ X0)) = (restrict_b_nat @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))) )), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1043,f1125])). 1.03/0.71 thf(f1043,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b,X1 : allegorical_term_b] : (((restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0))))) = (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ X1) @ (translation_b @ (allegorical_A_Int_b @ X1 @ X0)))))) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f457])). 1.03/0.71 thf(f1180,plain,( 1.03/0.71 ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true) | ((translation_b @ (allegorical_A_Int_b @ u @ v)) != (restrict_b_nat @ (translation_b @ (allegorical_A_Int_b @ u @ v))))), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1179,f1126])). 1.03/0.71 thf(f1179,plain,( 1.03/0.71 ((translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) != (restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(subsumption_resolution,[status(thm)],[f1178,f1060])). 1.03/0.71 thf(f1060,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b] : (((finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X0))) = $true)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f821])). 1.03/0.71 thf(f821,plain,( 1.03/0.71 ! [X0 : allegorical_term_b] : ((finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X0))) = $true)), 1.03/0.71 inference(fool_elimination,[status(thm)],[f820])). 1.03/0.71 thf(f820,plain,( 1.03/0.71 ! [X0 : allegorical_term_b] : (finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X0)))), 1.03/0.71 inference(rectify,[status(thm)],[f219])). 1.03/0.71 thf(f219,axiom,( 1.03/0.71 ! [X59 : allegorical_term_b] : (finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ X59)))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_12_verts__in__translation__finite_I2_J)). 1.03/0.71 thf(f1178,plain,( 1.03/0.71 ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true) | ($true != (finite1987068434at_nat @ (labeled_edges_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))) | ((translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) != (restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1177,f1125])). 1.03/0.71 thf(f1177,plain,( 1.03/0.71 ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) != (restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(subsumption_resolution,[status(thm)],[f1176,f1112])). 1.03/0.71 thf(f1112,plain,( 1.03/0.71 ( ! [X0 : allegorical_term_b] : (((finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X0))) = $true)) )), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f364])). 1.03/0.71 thf(f364,plain,( 1.03/0.71 ! [X0 : allegorical_term_b] : ((finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X0))) = $true)), 1.03/0.71 inference(fool_elimination,[status(thm)],[f363])). 1.03/0.71 thf(f363,plain,( 1.03/0.71 ! [X0 : allegorical_term_b] : (finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X0)))), 1.03/0.71 inference(rectify,[status(thm)],[f311])). 1.03/0.71 thf(f311,axiom,( 1.03/0.71 ! [X59 : allegorical_term_b] : (finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ X59)))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',fact_20_verts__in__translation__finite_I1_J)). 1.03/0.71 thf(f1176,plain,( 1.03/0.71 ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ($true != (finite_finite_nat @ (labele460410879_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true) | ((translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) != (restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1175,f1125])). 1.03/0.71 thf(f1175,plain,( 1.03/0.71 ((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) != (restrict_b_nat @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(forward_demodulation,[status(thm)],[f1049,f1125])). 1.03/0.71 thf(f1049,plain,( 1.03/0.71 ((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) != (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) | ((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(cnf_transformation,[status(thm)],[f954])). 1.03/0.71 thf(f954,plain,( 1.03/0.71 ((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) != $true) | ((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) != (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) | ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) != $true)), 1.03/0.71 inference(ennf_transformation,[status(thm)],[f436])). 1.03/0.71 thf(f436,plain,( 1.03/0.71 ~(((finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) = $true) & ((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & ((graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) = $true) & ((finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) = $true))), 1.03/0.71 inference(fool_elimination,[status(thm)],[f435])). 1.03/0.71 thf(f435,plain,( 1.03/0.71 ~(((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) & (finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))))), 1.03/0.71 inference(rectify,[status(thm)],[f340])). 1.03/0.71 thf(f340,negated_conjecture,( 1.03/0.71 ~(((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) & (finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))))), 1.03/0.71 inference(negated_conjecture,[status(cth)],[f339])). 1.03/0.71 thf(f339,conjecture,( 1.03/0.71 ((produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) = (restrict_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (graph_529870330at_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))) @ (id_on_nat @ (labele460410879_b_nat @ (produc1542243159_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))) & (finite1987068434at_nat @ (labeled_edges_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))))))) & (finite_finite_nat @ (labele460410879_b_nat @ (produc194497945_b_nat @ (produc951298923_b_nat @ (translation_b @ (produc854192515term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v)))) @ (translation_b @ (produc1223098053term_b @ (produc1990145943term_b @ u @ (allegorical_A_Int_b @ u @ v))))))))), 1.03/0.71 file('/export/starexec/sandbox/tmp/tmp.0DC5fgX869/E---3.1_1748.p',conj_0)). 1.03/0.71 % SZS output end Proof for E---3.1_1748 1.03/0.71 % (1884)------------------------------ 1.03/0.71 % (1884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100) 1.03/0.71 % (1884)Termination reason: Refutation 1.03/0.71 1.03/0.71 % (1884)Memory used [KB]: 7164 1.03/0.71 % (1884)Time elapsed: 0.068 s 1.03/0.71 % (1884)Instructions burned: 91 (million) 1.03/0.71 % (1884)------------------------------ 1.03/0.71 % (1884)------------------------------ 1.03/0.71 % (1859)Success in time 0.283 s 1.03/0.71 EOF