0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -m 90000 -t %d %s 0.03/0.27 % Computer : n020.star.cs.uiowa.edu 0.03/0.27 % Model : x86_64 x86_64 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.27 % Memory : 32218.625MB 0.03/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.27 % CPULimit : 300 0.03/0.27 % DateTime : Sat Jul 14 04:22:26 CDT 2018 0.03/0.27 % CPUTime : 0.03/0.28 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.28 % remaining time: 2999 next slice time: 3 0.07/0.31 dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark 0.45/0.71 % (55673)Time limit reached! 0.45/0.71 % ------------------------------ 0.45/0.71 % Version: Vampire 4.1 for CASC J8 Entry 0.45/0.71 % Termination reason: Time limit 0.45/0.71 % Termination phase: Saturation 0.45/0.71 0.45/0.71 % Memory used [KB]: 18805 0.45/0.71 % Time elapsed: 0.400 s 0.45/0.71 % ------------------------------ 0.45/0.71 % ------------------------------ 0.45/0.71 % remaining time: 2995 next slice time: 3 0.45/0.71 lrs+1_24_bs=unit_only:fsr=off:gs=on:gsem=on:inst=on:nm=64:nwc=3:sas=z3:stl=30:sac=on:sdd=large:sfr=on:ssfp=4000:ssfq=2.0:ssnc=none:sp=reverse_arity:thf=on:updr=off_1 on theBenchmark 0.86/1.11 % (55674)Time limit reached! 0.86/1.11 % ------------------------------ 0.86/1.11 % Version: Vampire 4.1 for CASC J8 Entry 0.86/1.11 % Termination reason: Time limit 0.86/1.11 % Termination phase: Saturation 0.86/1.11 0.86/1.11 % Memory used [KB]: 24818 0.86/1.11 % Time elapsed: 0.400 s 0.86/1.11 % ------------------------------ 0.86/1.11 % ------------------------------ 0.86/1.11 % remaining time: 2991 next slice time: 5 0.86/1.12 lrs+11_4:1_cond=on:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.7:sas=z3:stl=30:sdd=large:ssfp=100000:ssfq=1.2:smm=off:ssnc=none:tha=off_3 on theBenchmark 1.45/1.71 % (55675)Time limit reached! 1.45/1.71 % ------------------------------ 1.45/1.71 % Version: Vampire 4.1 for CASC J8 Entry 1.45/1.71 % Termination reason: Time limit 1.45/1.71 % Termination phase: Saturation 1.45/1.71 1.45/1.71 % Memory used [KB]: 11129 1.45/1.71 % Time elapsed: 0.600 s 1.45/1.71 % ------------------------------ 1.45/1.71 % ------------------------------ 1.45/1.72 % remaining time: 2985 next slice time: 9 1.45/1.72 dis+10_2:1_gs=on:gsem=off:irw=on:lcm=reverse:lma=on:nm=2:nwc=1.3:nicw=on:sas=z3:sac=on:sdd=off:sfr=on:ssfp=1000:ssfq=1.1:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_7 on theBenchmark 2.48/2.72 % (55676)Time limit reached! 2.48/2.72 % ------------------------------ 2.48/2.72 % Version: Vampire 4.1 for CASC J8 Entry 2.48/2.72 % Termination reason: Time limit 2.48/2.72 % Termination phase: Saturation 2.48/2.72 2.48/2.72 % Memory used [KB]: 39658 2.48/2.72 % Time elapsed: 1.0000 s 2.48/2.72 % ------------------------------ 2.48/2.72 % ------------------------------ 2.48/2.72 % remaining time: 2975 next slice time: 10 2.48/2.72 dis+11_2:1_bd=off:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:ssac=none:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:ssnc=none:sp=reverse_arity:tha=off:updr=off_9 on theBenchmark 3.55/3.82 % (55677)Time limit reached! 3.55/3.82 % ------------------------------ 3.55/3.82 % Version: Vampire 4.1 for CASC J8 Entry 3.55/3.82 % Termination reason: Time limit 3.55/3.82 % Termination phase: Saturation 3.55/3.82 3.55/3.82 % Memory used [KB]: 8699 3.55/3.82 % Time elapsed: 1.100 s 3.55/3.82 % ------------------------------ 3.55/3.82 % ------------------------------ 3.55/3.82 % remaining time: 2964 next slice time: 40 3.55/3.83 lrs+10_1_cond=on:fsr=off:gs=on:gsem=on:inst=on:lwlo=on:nm=64:nwc=2:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:ssnc=none:updr=off_38 on theBenchmark 7.71/7.93 % (55678)Time limit reached! 7.71/7.93 % ------------------------------ 7.71/7.93 % Version: Vampire 4.1 for CASC J8 Entry 7.71/7.93 % Termination reason: Time limit 7.71/7.93 % Termination phase: Saturation 7.71/7.93 7.71/7.93 % Memory used [KB]: 113089 7.71/7.93 % Time elapsed: 4.100 s 7.71/7.93 % ------------------------------ 7.71/7.93 % ------------------------------ 7.71/7.93 % remaining time: 2923 next slice time: 10 7.71/7.94 lrs+1010_2:1_bd=off:cond=on:er=filter:gs=on:gsem=on:inw=on:irw=on:lma=on:nm=0:nwc=1.3:sas=z3:stl=30:sdd=large:sfr=on:ssfp=1000:ssfq=2.0:smm=off:ssnc=none:sp=reverse_arity:updr=off_8 on theBenchmark 8.75/9.04 % (55679)Time limit reached! 8.75/9.04 % ------------------------------ 8.75/9.04 % Version: Vampire 4.1 for CASC J8 Entry 8.75/9.04 % Termination reason: Time limit 8.75/9.04 % Termination phase: Saturation 8.75/9.04 8.75/9.04 % Memory used [KB]: 12792 8.75/9.04 % Time elapsed: 1.100 s 8.75/9.04 % ------------------------------ 8.75/9.04 % ------------------------------ 8.75/9.04 % remaining time: 2912 next slice time: 162 8.75/9.04 dis+1_24_bs=on:fsr=off:irw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:urr=on_154 on theBenchmark 25.21/25.34 % (55680)Time limit reached! 25.21/25.34 % ------------------------------ 25.21/25.34 % Version: Vampire 4.1 for CASC J8 Entry 25.21/25.34 % Termination reason: Time limit 25.21/25.34 % Termination phase: Saturation 25.21/25.34 25.21/25.34 % Memory used [KB]: 492913 25.21/25.34 % Time elapsed: 16.300 s 25.21/25.34 % ------------------------------ 25.21/25.34 % ------------------------------ 25.21/25.37 % remaining time: 2749 next slice time: 6 25.21/25.37 lrs-11_3_bd=off:cond=on:gs=on:gsem=off:irw=on:inst=on:nm=4:nwc=3:sas=z3:stl=30:sdd=off:sfr=on:ssfp=100000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 25.92/26.07 % (55785)Time limit reached! 25.92/26.07 % ------------------------------ 25.92/26.07 % Version: Vampire 4.1 for CASC J8 Entry 25.92/26.07 % Termination reason: Time limit 25.92/26.07 % Termination phase: Saturation 25.92/26.07 25.92/26.07 % Memory used [KB]: 9594 25.92/26.07 % Time elapsed: 0.700 s 25.92/26.07 % ------------------------------ 25.92/26.07 % ------------------------------ 25.92/26.07 % remaining time: 2742 next slice time: 6 25.92/26.07 dis+10_4_cond=on:inw=on:irw=on:lcm=predicate:lma=on:nm=6:nwc=1:sas=z3:sos=all:sdd=large:sfr=on:ssfp=10000:ssfq=1.0:ssnc=none:sp=occurrence:tha=off:updr=off_4 on theBenchmark 25.92/26.09 % Refutation not found, incomplete strategy 25.92/26.09 % ------------------------------ 25.92/26.09 % Version: Vampire 4.1 for CASC J8 Entry 25.92/26.09 % Termination reason: Refutation not found, incomplete strategy 25.92/26.09 25.92/26.09 % Memory used [KB]: 1151 25.92/26.09 % Time elapsed: 0.015 s 25.92/26.09 % ------------------------------ 25.92/26.09 % ------------------------------ 25.92/26.09 % remaining time: 2741 next slice time: 11 25.92/26.09 ott+1010_3:1_bs=unit_only:ccuc=small_ones:fsr=off:irw=on:nm=0:newcnf=on:nwc=1.1:nicw=on:sos=on:ssac=none:sscc=model:sdd=off:ssfp=10000:ssfq=1.4:ssnc=none:sp=reverse_arity:tha=off_10 on theBenchmark 25.92/26.13 % Refutation not found, incomplete strategy 25.92/26.13 % ------------------------------ 25.92/26.13 % Version: Vampire 4.1 for CASC J8 Entry 25.92/26.13 % Termination reason: Refutation not found, incomplete strategy 25.92/26.13 25.92/26.13 % Memory used [KB]: 4093 25.92/26.13 % Time elapsed: 0.037 s 25.92/26.13 % ------------------------------ 25.92/26.13 % ------------------------------ 25.92/26.13 % remaining time: 2741 next slice time: 6 25.92/26.13 lrs+11_8:1_gs=on:inst=on:lcm=reverse:lma=on:nm=64:nwc=2:sas=z3:stl=30:sdd=off:sfr=on:ssfp=40000:ssfq=2.0:smm=sco:ssnc=none:sp=occurrence:updr=off_4 on theBenchmark 26.69/26.83 % (55788)Time limit reached! 26.69/26.83 % ------------------------------ 26.69/26.83 % Version: Vampire 4.1 for CASC J8 Entry 26.69/26.83 % Termination reason: Time limit 26.69/26.83 % Termination phase: Saturation 26.69/26.83 26.69/26.83 % Memory used [KB]: 25330 26.69/26.83 % Time elapsed: 0.700 s 26.69/26.83 % ------------------------------ 26.69/26.83 % ------------------------------ 26.69/26.83 % remaining time: 2734 next slice time: 6 26.69/26.84 dis+11_3:1_inw=on:inst=on:nm=64:nwc=1:sas=z3:sos=all:ssfp=40000:ssfq=1.1:smm=sco:ssnc=none:sp=reverse_arity:updr=off_4 on theBenchmark 27.42/27.53 % (55789)Time limit reached! 27.42/27.53 % ------------------------------ 27.42/27.53 % Version: Vampire 4.1 for CASC J8 Entry 27.42/27.53 % Termination reason: Time limit 27.42/27.53 % Termination phase: Saturation 27.42/27.53 27.42/27.53 % Memory used [KB]: 13432 27.42/27.53 % Time elapsed: 0.700 s 27.42/27.53 % ------------------------------ 27.42/27.53 % ------------------------------ 27.42/27.54 % remaining time: 2727 next slice time: 3 27.42/27.54 dis+10_24_lma=on:nm=64:nwc=1:sas=z3:sac=on:sdd=large:smm=off:ssnc=none:sp=occurrence_1 on theBenchmark 27.78/27.94 % (55790)Time limit reached! 27.78/27.94 % ------------------------------ 27.78/27.94 % Version: Vampire 4.1 for CASC J8 Entry 27.78/27.94 % Termination reason: Time limit 27.78/27.94 % Termination phase: Saturation 27.78/27.94 27.78/27.94 % Memory used [KB]: 17398 27.78/27.94 % Time elapsed: 0.400 s 27.78/27.94 % ------------------------------ 27.78/27.94 % ------------------------------ 27.78/27.94 % remaining time: 2723 next slice time: 11 27.78/27.94 lrs+1002_5_gs=on:gsem=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sfr=on:ssfp=10000:ssfq=1.1:smm=off:ssnc=none:tha=off:updr=off_10 on theBenchmark 27.78/27.96 % Refutation not found, incomplete strategy 27.78/27.96 % ------------------------------ 27.78/27.96 % Version: Vampire 4.1 for CASC J8 Entry 27.78/27.96 % Termination reason: Refutation not found, incomplete strategy 27.78/27.96 27.78/27.96 % Memory used [KB]: 1279 27.78/27.96 % Time elapsed: 0.015 s 27.78/27.96 % ------------------------------ 27.78/27.96 % ------------------------------ 27.78/27.96 % remaining time: 2723 next slice time: 3 27.78/27.96 dis+11_3_cond=on:fsr=off:gs=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:sdd=off:ssfp=40000:ssfq=1.4:smm=sco:ssnc=none:sp=occurrence:tha=off:updr=off_1 on theBenchmark 27.86/27.98 % Refutation not found, incomplete strategy 27.86/27.98 % ------------------------------ 27.86/27.98 % Version: Vampire 4.1 for CASC J8 Entry 27.86/27.98 % Termination reason: Refutation not found, incomplete strategy 27.86/27.98 27.86/27.98 % Memory used [KB]: 1407 27.86/27.98 % Time elapsed: 0.017 s 27.86/27.98 % ------------------------------ 27.86/27.98 % ------------------------------ 27.86/27.98 % remaining time: 2723 next slice time: 22 27.86/27.98 dis+11_4_fsr=off:gs=on:inst=on:lma=on:nm=64:nwc=1:sac=on:ssfp=4000:ssfq=1.1:smm=sco:ssnc=none:sp=reverse_arity:thf=on:urr=on:updr=off_20 on theBenchmark 30.13/30.28 % (55793)Time limit reached! 30.13/30.28 % ------------------------------ 30.13/30.28 % Version: Vampire 4.1 for CASC J8 Entry 30.13/30.28 % Termination reason: Time limit 30.13/30.28 % Termination phase: Saturation 30.13/30.28 30.13/30.28 % Memory used [KB]: 98377 30.13/30.28 % Time elapsed: 2.300 s 30.13/30.28 % ------------------------------ 30.13/30.28 % ------------------------------ 30.13/30.29 % remaining time: 2700 next slice time: 11 30.13/30.29 dis-10_3:1_cond=on:inw=on:nm=2:newcnf=on:nwc=1:sos=on:spl=off:tha=off:updr=off_10 on theBenchmark 30.13/30.29 % Refutation not found, incomplete strategy 30.13/30.29 % ------------------------------ 30.13/30.29 % Version: Vampire 4.1 for CASC J8 Entry 30.13/30.29 % Termination reason: Refutation not found, incomplete strategy 30.13/30.29 30.13/30.29 % Memory used [KB]: 1279 30.13/30.29 % Time elapsed: 0.003 s 30.13/30.29 % ------------------------------ 30.13/30.29 % ------------------------------ 30.13/30.29 % remaining time: 2699 next slice time: 10 30.13/30.29 lrs+4_32_bd=off:fsr=off:gs=on:gsem=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sac=on:sdd=large:sfr=on:ssfp=40000:ssfq=1.0:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_9 on theBenchmark 30.13/30.31 % Refutation not found, incomplete strategy 30.13/30.31 % ------------------------------ 30.13/30.31 % Version: Vampire 4.1 for CASC J8 Entry 30.13/30.31 % Termination reason: Refutation not found, incomplete strategy 30.13/30.31 30.13/30.31 % Memory used [KB]: 1279 30.13/30.31 % Time elapsed: 0.016 s 30.13/30.31 % ------------------------------ 30.13/30.31 % ------------------------------ 30.13/30.31 % remaining time: 2699 next slice time: 10 30.13/30.31 dis-11_3_gs=on:gsem=on:inw=on:inst=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=1:spl=off:sp=occurrence:thf=on_8 on theBenchmark 31.27/31.41 % (55796)Time limit reached! 31.27/31.41 % ------------------------------ 31.27/31.41 % Version: Vampire 4.1 for CASC J8 Entry 31.27/31.41 % Termination reason: Time limit 31.27/31.41 % Termination phase: Saturation 31.27/31.41 31.27/31.41 % Memory used [KB]: 44775 31.27/31.41 % Time elapsed: 1.100 s 31.27/31.41 % ------------------------------ 31.27/31.41 % ------------------------------ 31.27/31.41 % remaining time: 2688 next slice time: 19 31.27/31.42 lrs+4_10_cond=on:irw=on:nwc=1:stl=30:sd=10:ss=axioms:st=3.0:sos=all:spl=off:sp=occurrence:updr=off_18 on theBenchmark 33.31/33.42 % (55797)Time limit reached! 33.31/33.42 % ------------------------------ 33.31/33.42 % Version: Vampire 4.1 for CASC J8 Entry 33.31/33.42 % Termination reason: Time limit 33.31/33.42 % Termination phase: Saturation 33.31/33.42 33.31/33.42 % Memory used [KB]: 94028 33.31/33.42 % Time elapsed: 2.0000 s 33.31/33.42 % ------------------------------ 33.31/33.42 % ------------------------------ 33.31/33.42 % remaining time: 2668 next slice time: 6 33.31/33.43 dis+1010_3_gs=on:gsem=on:inw=on:irw=on:nm=64:nwc=3:sac=on:sdd=large:sfr=on:ssfp=10000:ssfq=1.4:smm=sco:ssnc=none:tha=off_4 on theBenchmark 34.02/34.12 % (55798)Time limit reached! 34.02/34.12 % ------------------------------ 34.02/34.12 % Version: Vampire 4.1 for CASC J8 Entry 34.02/34.12 % Termination reason: Time limit 34.02/34.12 % Termination phase: Saturation 34.02/34.12 34.02/34.12 % Memory used [KB]: 21875 34.02/34.12 % Time elapsed: 0.700 s 34.02/34.12 % ------------------------------ 34.02/34.12 % ------------------------------ 34.02/34.13 % remaining time: 2661 next slice time: 32 34.02/34.13 lrs-11_1_br=off:cond=on:gs=on:lwlo=on:nm=64:nwc=4:sas=z3:stl=30:sac=on:sfr=on:ssfp=40000:ssfq=1.2:smm=sco:ssnc=none:sp=reverse_arity:urr=on:updr=off_30 on theBenchmark 37.26/37.43 % (55799)Time limit reached! 37.26/37.43 % ------------------------------ 37.26/37.43 % Version: Vampire 4.1 for CASC J8 Entry 37.26/37.43 % Termination reason: Time limit 37.26/37.43 % Termination phase: Saturation 37.26/37.43 37.26/37.43 % Memory used [KB]: 175775 37.26/37.43 % Time elapsed: 3.300 s 37.26/37.43 % ------------------------------ 37.26/37.43 % ------------------------------ 37.36/37.44 % remaining time: 2628 next slice time: 15 37.36/37.44 dis+11_4_cond=on:inw=on:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sfr=on:ssfp=100000:ssfq=1.0:smm=off:ssnc=none:tha=off_14 on theBenchmark 38.93/39.04 % (55800)Time limit reached! 38.93/39.04 % ------------------------------ 38.93/39.04 % Version: Vampire 4.1 for CASC J8 Entry 38.93/39.04 % Termination reason: Time limit 38.93/39.04 % Termination phase: Saturation 38.93/39.04 38.93/39.04 % Memory used [KB]: 12537 38.93/39.04 % Time elapsed: 1.600 s 38.93/39.04 % ------------------------------ 38.93/39.04 % ------------------------------ 38.93/39.04 % remaining time: 2612 next slice time: 4 38.93/39.05 lrs+1011_3:1_cond=on:irw=on:nm=32:nwc=1:stl=30:sdd=large:ssfp=10000:ssfq=1.4:smm=sco:ssnc=none:sp=reverse_arity:urr=on:updr=off_2 on theBenchmark 39.49/39.54 % (55801)Time limit reached! 39.49/39.54 % ------------------------------ 39.49/39.54 % Version: Vampire 4.1 for CASC J8 Entry 39.49/39.54 % Termination reason: Time limit 39.49/39.54 % Termination phase: Saturation 39.49/39.54 39.49/39.54 % Memory used [KB]: 18805 39.49/39.54 % Time elapsed: 0.500 s 39.49/39.54 % ------------------------------ 39.49/39.54 % ------------------------------ 39.49/39.55 % remaining time: 2607 next slice time: 12 39.49/39.55 dis+1011_1_ccuc=small_ones:cond=on:fsr=off:gs=on:gsem=off:lma=on:nm=64:nwc=1:nicw=on:sos=all:sac=on:ssac=none:sscc=on:sdd=large:sfr=on:ssfp=1000:ssfq=1.2:smm=sco:tha=off:thf=on_11 on theBenchmark 40.78/40.85 % (55802)Time limit reached! 40.78/40.85 % ------------------------------ 40.78/40.85 % Version: Vampire 4.1 for CASC J8 Entry 40.78/40.85 % Termination reason: Time limit 40.78/40.85 % Termination phase: Saturation 40.78/40.85 40.78/40.85 % Memory used [KB]: 46566 40.78/40.85 % Time elapsed: 1.300 s 40.78/40.85 % ------------------------------ 40.78/40.85 % ------------------------------ 40.78/40.85 % remaining time: 2594 next slice time: 5 40.78/40.85 lrs+1010_5:4_bd=off:bsr=on:gs=on:gsem=off:inw=on:nm=2:nwc=4:sas=z3:stl=30:sdd=large:sfr=on:ssfp=40000:ssfq=2.0:smm=sco:ssnc=none:sp=reverse_arity_3 on theBenchmark 41.37/41.45 % (55803)Time limit reached! 41.37/41.45 % ------------------------------ 41.37/41.45 % Version: Vampire 4.1 for CASC J8 Entry 41.37/41.45 % Termination reason: Time limit 41.37/41.45 % Termination phase: Saturation 41.37/41.45 41.37/41.45 % Memory used [KB]: 18805 41.37/41.45 % Time elapsed: 0.600 s 41.37/41.45 % ------------------------------ 41.37/41.45 % ------------------------------ 41.37/41.46 % remaining time: 2588 next slice time: 27 41.37/41.46 dis+11_5_gs=on:gsem=off:inw=on:lcm=reverse:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:sos=on:sdd=off:sfr=on:ssfp=4000:ssfq=1.4:ssnc=none:sp=occurrence:tha=off:updr=off_25 on theBenchmark 44.20/44.26 % (55804)Time limit reached! 44.20/44.26 % ------------------------------ 44.20/44.26 % Version: Vampire 4.1 for CASC J8 Entry 44.20/44.26 % Termination reason: Time limit 44.20/44.26 % Termination phase: Saturation 44.20/44.26 44.20/44.26 % Memory used [KB]: 36587 44.20/44.26 % Time elapsed: 2.800 s 44.20/44.26 % ------------------------------ 44.20/44.26 % ------------------------------ 44.20/44.26 % remaining time: 2560 next slice time: 44 44.20/44.26 ott+1010_5:4_bsr=on:ccuc=small_ones:fsr=off:inw=on:inst=on:lma=on:nm=16:nwc=1.1:ssac=none:sscc=on:sdd=off:ssfp=100000:ssfq=1.2:smm=sco:ssnc=none:sp=reverse_arity:updr=off_41 on theBenchmark 48.74/48.76 % (55805)Time limit reached! 48.74/48.76 % ------------------------------ 48.74/48.76 % Version: Vampire 4.1 for CASC J8 Entry 48.74/48.76 % Termination reason: Time limit 48.74/48.76 % Termination phase: Saturation 48.74/48.76 48.74/48.76 % Memory used [KB]: 133814 48.74/48.76 % Time elapsed: 4.500 s 48.74/48.76 % ------------------------------ 48.74/48.76 % ------------------------------ 48.74/48.77 % remaining time: 2515 next slice time: 15 48.74/48.77 ott+1011_4_gs=on:irw=on:lma=on:nm=2:nwc=10:nicw=on:sdd=off:sfr=on:ssfp=100000:ssfq=1.1:ssnc=none:tha=off:urr=on_14 on theBenchmark 50.33/50.37 % (55806)Time limit reached! 50.33/50.37 % ------------------------------ 50.33/50.37 % Version: Vampire 4.1 for CASC J8 Entry 50.33/50.37 % Termination reason: Time limit 50.33/50.37 % Termination phase: Saturation 50.33/50.37 50.33/50.37 % Memory used [KB]: 68698 50.33/50.37 % Time elapsed: 1.600 s 50.33/50.37 % ------------------------------ 50.33/50.37 % ------------------------------ 50.33/50.38 % remaining time: 2499 next slice time: 60 50.33/50.38 lrs+1002_2:3_fsr=off:gs=on:gsem=on:lwlo=on:nm=64:nwc=2:stl=30:sac=on:sdd=large:ssfp=10000:ssfq=1.2:smm=sco:ssnc=none:updr=off_57 on theBenchmark 56.46/56.48 % (55807)Time limit reached! 56.46/56.48 % ------------------------------ 56.46/56.48 % Version: Vampire 4.1 for CASC J8 Entry 56.46/56.48 % Termination reason: Time limit 56.46/56.48 % Termination phase: Saturation 56.46/56.48 56.46/56.48 % Memory used [KB]: 205966 56.46/56.48 % Time elapsed: 6.100 s 56.46/56.48 % ------------------------------ 56.46/56.48 % ------------------------------ 56.46/56.49 % remaining time: 2438 next slice time: 13 56.46/56.49 lrs+1011_2_bd=off:bs=unit_only:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1.2:sas=z3:stl=30:ssfp=10000:ssfq=2.0:ssnc=none:sp=occurrence:tha=off_12 on theBenchmark 57.87/57.89 % (55808)Time limit reached! 57.87/57.89 % ------------------------------ 57.87/57.89 % Version: Vampire 4.1 for CASC J8 Entry 57.87/57.89 % Termination reason: Time limit 57.87/57.89 % Termination phase: Saturation 57.87/57.89 57.87/57.89 % Memory used [KB]: 60382 57.87/57.89 % Time elapsed: 1.400 s 57.87/57.89 % ------------------------------ 57.87/57.89 % ------------------------------ 57.87/57.90 % remaining time: 2423 next slice time: 51 57.87/57.90 dis+1010_5:1_cond=on:gs=on:gsem=on:irw=on:nm=64:nwc=1:sas=z3:sos=on:ssfp=4000:ssfq=1.1:smm=off:ssnc=none:sp=occurrence:thf=on:urr=on_48 on theBenchmark 63.14/63.10 % (55809)Time limit reached! 63.14/63.10 % ------------------------------ 63.14/63.10 % Version: Vampire 4.1 for CASC J8 Entry 63.14/63.10 % Termination reason: Time limit 63.14/63.10 % Termination phase: Saturation 63.14/63.10 63.14/63.10 % Memory used [KB]: 131000 63.14/63.10 % Time elapsed: 5.200 s 63.14/63.10 % ------------------------------ 63.14/63.10 % ------------------------------ 63.14/63.11 % remaining time: 2371 next slice time: 75 63.14/63.11 dis+1010_8_bs=unit_only:fsr=off:gs=on:gsem=off:inw=on:lwlo=on:nm=16:nwc=1:sas=z3:sos=on:sfr=on:ssfp=1000:ssfq=1.4:smm=off:ssnc=none:sp=reverse_arity:tha=off:urr=ec_only_71 on theBenchmark 63.14/63.13 % Refutation not found, incomplete strategy 63.14/63.13 % ------------------------------ 63.14/63.13 % Version: Vampire 4.1 for CASC J8 Entry 63.14/63.13 % Termination reason: Refutation not found, incomplete strategy 63.14/63.13 63.14/63.13 % Memory used [KB]: 1918 63.14/63.13 % Time elapsed: 0.016 s 63.14/63.13 % ------------------------------ 63.14/63.13 % ------------------------------ 63.14/63.13 % remaining time: 2371 next slice time: 56 63.14/63.13 lrs-1_5:1_cond=on:er=filter:fsr=off:gs=on:gsem=on:inw=on:irw=on:inst=on:lcm=predicate:lma=on:nm=64:newcnf=on:nwc=1.1:stl=30:sos=all:sscc=model:sdd=large:ssfp=4000:ssfq=2.0:sp=occurrence_53 on theBenchmark 63.14/63.14 % Refutation not found, incomplete strategy 63.14/63.14 % ------------------------------ 63.14/63.14 % Version: Vampire 4.1 for CASC J8 Entry 63.14/63.14 % Termination reason: Refutation not found, incomplete strategy 63.14/63.14 63.14/63.14 % Memory used [KB]: 2302 63.14/63.14 % Time elapsed: 0.009 s 63.14/63.14 % ------------------------------ 63.14/63.14 % ------------------------------ 63.14/63.14 % remaining time: 2371 next slice time: 82 63.14/63.14 lrs-11_64_cond=on:gs=on:gsem=on:irw=on:nm=32:nwc=1:stl=30:sd=10:ss=axioms:st=5.0:sos=on:sdd=off:ssfp=4000:ssfq=1.4:sp=occurrence:urr=on_78 on theBenchmark 71.48/71.42 % (55812)Time limit reached! 71.48/71.42 % ------------------------------ 71.48/71.42 % Version: Vampire 4.1 for CASC J8 Entry 71.48/71.42 % Termination reason: Time limit 71.48/71.42 % Termination phase: Saturation 71.48/71.42 71.48/71.42 % Memory used [KB]: 348608 71.48/71.42 % Time elapsed: 8.300 s 71.48/71.42 % ------------------------------ 71.48/71.42 % ------------------------------ 71.52/71.44 % remaining time: 2288 next slice time: 127 71.52/71.44 dis+1002_5:4_bsr=on:fsr=off:lma=on:nm=4:nwc=1:sas=z3:ssac=none:sdd=off:sfr=on:ssfp=4000:ssfq=1.1:smm=off:tha=off:updr=off_120 on theBenchmark 84.34/84.22 % (55813)Time limit reached! 84.34/84.22 % ------------------------------ 84.34/84.22 % Version: Vampire 4.1 for CASC J8 Entry 84.34/84.22 % Termination reason: Time limit 84.34/84.22 % Termination phase: Saturation 84.34/84.22 84.34/84.22 % Memory used [KB]: 222981 84.34/84.22 % Time elapsed: 12.800 s 84.34/84.22 % ------------------------------ 84.34/84.22 % ------------------------------ 84.34/84.23 % remaining time: 2160 next slice time: 207 84.34/84.23 dis+11_2_bd=off:bs=on:bsr=on:ccuc=small_ones:inw=on:irw=on:lma=on:nm=16:nwc=1.3:nicw=on:sscc=model:sdd=off:ssfp=100000:ssfq=1.1:sp=reverse_arity:tha=off:thf=on:urr=ec_only_197 on theBenchmark 105.17/105.01 % (55910)Time limit reached! 105.17/105.01 % ------------------------------ 105.17/105.01 % Version: Vampire 4.1 for CASC J8 Entry 105.17/105.01 % Termination reason: Time limit 105.17/105.01 % Termination phase: Saturation 105.17/105.01 105.17/105.01 % Memory used [KB]: 518243 105.17/105.01 % Time elapsed: 20.800 s 105.17/105.01 % ------------------------------ 105.17/105.01 % ------------------------------ 105.17/105.04 % remaining time: 1952 next slice time: 67 105.29/105.04 lrs+1011_4:1_bd=off:gs=on:gsem=off:lma=on:lwlo=on:nm=4:nwc=4:sas=z3:stl=30:ssac=none:sdd=large:ssfp=40000:ssfq=2.0:ssnc=none:sp=occurrence:tha=off:updr=off_63 on theBenchmark 112.06/111.84 % (55912)Time limit reached! 112.06/111.84 % ------------------------------ 112.06/111.84 % Version: Vampire 4.1 for CASC J8 Entry 112.06/111.84 % Termination reason: Time limit 112.06/111.84 % Termination phase: Saturation 112.06/111.84 112.06/111.84 % Memory used [KB]: 79572 112.06/111.84 % Time elapsed: 6.800 s 112.06/111.84 % ------------------------------ 112.06/111.84 % ------------------------------ 112.06/111.84 % remaining time: 1884 next slice time: 166 112.06/111.85 lrs-11_4_lwlo=on:nm=64:nwc=1:stl=30:sos=all:spl=off:sp=reverse_arity:thf=on:updr=off_158 on theBenchmark 127.89/127.63 % Refutation found. Thanks to Tanya! 127.89/127.63 % SZS status Theorem for theBenchmark 127.89/127.63 % SZS output start Proof for theBenchmark 127.89/127.63 tff(type_def_6, type, uni: $tType). 127.89/127.63 tff(type_def_7, type, ty: $tType). 127.89/127.63 tff(type_def_8, type, bool1: $tType). 127.89/127.63 tff(type_def_9, type, tuple02: $tType). 127.89/127.63 tff(type_def_10, type, char2: $tType). 127.89/127.63 tff(type_def_11, type, regexp1: $tType). 127.89/127.63 tff(type_def_12, type, list_char: $tType). 127.89/127.63 tff(func_def_0, type, witness1: ty > uni). 127.89/127.63 tff(func_def_1, type, int: ty). 127.89/127.63 tff(func_def_2, type, real: ty). 127.89/127.63 tff(func_def_3, type, bool: ty). 127.89/127.63 tff(func_def_4, type, true1: bool1). 127.89/127.63 tff(func_def_5, type, false1: bool1). 127.89/127.63 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 127.89/127.63 tff(func_def_7, type, tuple0: ty). 127.89/127.63 tff(func_def_8, type, tuple03: tuple02). 127.89/127.63 tff(func_def_9, type, qtmark: ty). 127.89/127.63 tff(func_def_10, type, char1: ty). 127.89/127.63 tff(func_def_11, type, regexp: ty). 127.89/127.63 tff(func_def_12, type, empty1: regexp1). 127.89/127.63 tff(func_def_13, type, epsilon1: regexp1). 127.89/127.63 tff(func_def_14, type, char3: char2 > regexp1). 127.89/127.63 tff(func_def_15, type, alt1: (regexp1 * regexp1) > regexp1). 127.89/127.63 tff(func_def_16, type, concat1: (regexp1 * regexp1) > regexp1). 127.89/127.63 tff(func_def_17, type, star1: regexp1 > regexp1). 127.89/127.63 tff(func_def_18, type, match_regexp1: (ty * regexp1 * uni * uni * uni * uni * uni * uni) > uni). 127.89/127.63 tff(func_def_19, type, char_proj_11: regexp1 > char2). 127.89/127.63 tff(func_def_20, type, alt_proj_11: regexp1 > regexp1). 127.89/127.63 tff(func_def_21, type, alt_proj_21: regexp1 > regexp1). 127.89/127.63 tff(func_def_22, type, concat_proj_11: regexp1 > regexp1). 127.89/127.63 tff(func_def_23, type, concat_proj_21: regexp1 > regexp1). 127.89/127.63 tff(func_def_24, type, star_proj_11: regexp1 > regexp1). 127.89/127.63 tff(func_def_25, type, list: ty > ty). 127.89/127.63 tff(func_def_26, type, nil: ty > uni). 127.89/127.63 tff(func_def_27, type, cons: (ty * uni * uni) > uni). 127.89/127.63 tff(func_def_28, type, match_list: (ty * ty * uni * uni * uni) > uni). 127.89/127.63 tff(func_def_29, type, cons_proj_1: (ty * uni) > uni). 127.89/127.63 tff(func_def_30, type, cons_proj_2: (ty * uni) > uni). 127.89/127.63 tff(func_def_31, type, infix_plpl: (ty * uni * uni) > uni). 127.89/127.63 tff(func_def_32, type, length1: (ty * uni) > $int). 127.89/127.63 tff(func_def_33, type, t2tb: list_char > uni). 127.89/127.63 tff(func_def_34, type, tb2t: uni > list_char). 127.89/127.63 tff(func_def_35, type, t2tb1: char2 > uni). 127.89/127.63 tff(func_def_36, type, tb2t1: uni > char2). 127.89/127.63 tff(func_def_42, type, sK3: regexp1). 127.89/127.63 tff(func_def_43, type, sK4: regexp1). 127.89/127.63 tff(func_def_44, type, sK5: bool1). 127.89/127.63 tff(func_def_45, type, sK6: bool1). 127.89/127.63 tff(func_def_46, type, sK7: (list_char * regexp1) > list_char). 127.89/127.63 tff(func_def_47, type, sK8: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_48, type, sK9: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_49, type, sK10: (list_char * regexp1) > list_char). 127.89/127.63 tff(func_def_50, type, sK11: (list_char * regexp1) > list_char). 127.89/127.63 tff(func_def_51, type, sK12: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_52, type, sK13: (regexp1 * list_char) > list_char). 127.89/127.63 tff(func_def_53, type, sK14: (regexp1 * list_char) > list_char). 127.89/127.63 tff(func_def_54, type, sK15: (regexp1 * list_char) > regexp1). 127.89/127.63 tff(func_def_55, type, sK16: (regexp1 * list_char) > regexp1). 127.89/127.63 tff(func_def_56, type, sK17: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_57, type, sK18: (list_char * regexp1) > list_char). 127.89/127.63 tff(func_def_58, type, sK19: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_59, type, sK20: (list_char * regexp1) > regexp1). 127.89/127.63 tff(func_def_60, type, sK21: (list_char * regexp1) > char2). 127.89/127.63 tff(func_def_61, type, sK22: (ty * uni * uni) > uni). 127.89/127.63 tff(func_def_62, type, sK23: (ty * uni * uni) > uni). 127.89/127.63 tff(pred_def_1, type, sort1: (ty * uni) > $o). 127.89/127.63 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 127.89/127.63 tff(pred_def_3, type, mem2: (list_char * regexp1) > $o). 127.89/127.63 tff(pred_def_6, type, sP0: (regexp1 * list_char) > $o). 127.89/127.63 tff(pred_def_7, type, sP1: (list_char * regexp1) > $o). 127.89/127.63 tff(pred_def_8, type, sP2: (list_char * regexp1) > $o). 127.89/127.63 tff(f3,axiom,( 127.89/127.63 ! [X0 : ty,X4 : uni,X5 : uni,X6 : uni] : infix_plpl(X0,X4,infix_plpl(X0,X5,X6)) = infix_plpl(X0,infix_plpl(X0,X4,X5),X6)), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',append_assoc)). 127.89/127.63 tff(f8,axiom,( 127.89/127.63 ! [X0 : ty] : (! [X1 : uni,X11 : uni] : length1(X0,cons(X0,X1,X11)) = $sum(1,length1(X0,X11)) & length1(X0,nil(X0)) = 0)), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_def)). 127.89/127.63 tff(f10,axiom,( 127.89/127.63 ! [X0 : ty,X1 : uni] : sort1(X0,cons_proj_1(X0,X1))), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_1_sort1)). 127.89/127.63 tff(f16,axiom,( 127.89/127.63 ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => (! [X11 : uni,X14 : uni] : (sort1(X0,X11) => (mem(X0,X1,cons(X0,X11,X14)) <=> (X1 = X11 | mem(X0,X1,X14)))) & ~mem(X0,X1,nil(X0))))), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_def)). 127.89/127.63 tff(f18,axiom,( 127.89/127.63 ! [X2 : regexp1,X3 : regexp1,X7 : regexp1] : concat1(X2,X3) != star1(X7)), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',concat_Star)). 127.89/127.63 tff(f19,axiom,( 127.89/127.63 ! [X16 : uni] : t2tb(tb2t(X16)) = X16), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 127.89/127.63 tff(f20,axiom,( 127.89/127.63 ! [X0 : ty,X5 : uni] : (! [X1 : uni,X11 : uni] : cons(X0,X1,infix_plpl(X0,X11,X5)) = infix_plpl(X0,cons(X0,X1,X11),X5) & infix_plpl(X0,nil(X0),X5) = X5)), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_def)). 127.89/127.63 tff(f25,axiom,( 127.89/127.63 ! [X0 : ty,X2 : uni,X3 : uni] : cons_proj_2(X0,cons(X0,X2,X3)) = X3), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cons_proj_2_def)). 127.89/127.63 tff(f29,axiom,( 127.89/127.63 ! [X0 : ty,X15 : ty,X12 : uni,X13 : uni] : (sort1(X15,X12) => match_list(X15,X0,nil(X0),X12,X13) = X12)), 127.89/127.63 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',match_list_Nil)). 127.89/127.63 tff(f31,axiom,( 127.89/127.63 ! [X12 : list_char,X13 : regexp1] : (mem2(X12,X13) => (? [X31 : char2] : (char3(X31) = X13 & tb2t(cons(char1,t2tb1(X31),nil(char1))) = X12) | ? [X30 : list_char,X23 : regexp1,X24 : regexp1] : (mem2(X30,X23) & alt1(X23,X24) = X13 & X12 = X30) | ? [X10 : regexp1] : (tb2t(nil(char1)) = X12 & star1(X10) = X13) | ? [X21 : list_char,X22 : list_char,X10 : regexp1] : (mem2(X21,X10) & tb2t(infix_plpl(char1,t2tb(X21),t2tb(X22))) = X12 & star1(X10) = X13 & mem2(X22,star1(X10))) | ? [X21 : list_char,X22 : list_char,X23 : regexp1,X24 : regexp1] : (mem2(X21,X23) & concat1(X23,X24) = X13 & tb2t(infix_plpl(char1,t2tb(X21),t2tb(X22))) = X12 & mem2(X22,X24)) | ? [X30 : list_char,X23 : regexp1,X24 : regexp1] : (X12 = X30 & alt1(X23,X24) = X13 & mem2(X30,X24)) | (epsilon1 = X13 & tb2t(nil(char1)) = X12)))), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_inversion)). 127.89/127.64 tff(f33,axiom,( 127.89/127.64 ! [X7 : regexp1,X8 : regexp1] : epsilon1 != concat1(X7,X8)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epsilon_Concat)). 127.89/127.64 tff(f37,axiom,( 127.89/127.64 ! [X2 : char2,X7 : regexp1,X8 : regexp1] : char3(X2) != concat1(X7,X8)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',char_Concat)). 127.89/127.64 tff(f40,axiom,( 127.89/127.64 ! [X2 : regexp1,X3 : regexp1] : concat_proj_21(concat1(X2,X3)) = X3), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',concat_proj_2_def)). 127.89/127.64 tff(f48,axiom,( 127.89/127.64 ! [X32 : list_char] : tb2t(t2tb(X32)) = X32), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL)). 127.89/127.64 tff(f50,conjecture,( 127.89/127.64 ! [X1 : regexp1,X11 : regexp1,X33 : bool1] : ((true1 = X33 <=> mem2(tb2t(nil(char1)),X1)) => (true1 = X33 => ! [X34 : bool1] : ((mem2(tb2t(nil(char1)),X11) <=> true1 = X34) => (mem2(tb2t(nil(char1)),concat1(X1,X11)) => true1 = X34))))), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_accepts_epsilon)). 127.89/127.64 tff(f51,negated_conjecture,( 127.89/127.64 ~! [X1 : regexp1,X11 : regexp1,X33 : bool1] : ((true1 = X33 <=> mem2(tb2t(nil(char1)),X1)) => (true1 = X33 => ! [X34 : bool1] : ((mem2(tb2t(nil(char1)),X11) <=> true1 = X34) => (mem2(tb2t(nil(char1)),concat1(X1,X11)) => true1 = X34))))), 127.89/127.64 inference(negated_conjecture,[],[f50])). 127.89/127.64 tff(f52,axiom,( 127.89/127.64 ! [X0 : ty,X1 : uni,X11 : uni] : sort1(list(X0),infix_plpl(X0,X1,X11))), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_plpl_sort1)). 127.89/127.64 tff(f62,axiom,( 127.89/127.64 ! [X2 : regexp1,X3 : regexp1,X7 : regexp1,X8 : regexp1] : alt1(X2,X3) != concat1(X7,X8)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',alt_Concat)). 127.89/127.64 tff(f66,axiom,( 127.89/127.64 ! [X0 : ty,X9 : uni] : (length1(X0,X9) = 0 <=> nil(X0) = X9)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',length_nil)). 127.89/127.64 tff(f67,axiom,( 127.89/127.64 ! [X0 : ty,X15 : ty,X12 : uni,X13 : uni,X2 : uni,X3 : uni] : (sort1(X15,X13) => match_list(X15,X0,cons(X0,X2,X3),X12,X13) = X13)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',match_list_Cons)). 127.89/127.64 tff(f68,axiom,( 127.89/127.64 ! [X0 : ty,X2 : uni] : (cons(X0,cons_proj_1(X0,X2),cons_proj_2(X0,X2)) = X2 | nil(X0) = X2)), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',list_inversion)). 127.89/127.64 tff(f71,axiom,( 127.89/127.64 ! [X0 : ty,X1 : uni,X4 : uni,X5 : uni] : (mem(X0,X1,infix_plpl(X0,X4,X5)) <=> (mem(X0,X1,X5) | mem(X0,X1,X4)))), 127.89/127.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mem_append)). 127.89/127.64 tff(f97,plain,( 127.89/127.64 ~! [X0 : regexp1,X1 : regexp1,X2 : bool1] : ((true1 = X2 <=> mem2(tb2t(nil(char1)),X0)) => (true1 = X2 => ! [X3 : bool1] : ((mem2(tb2t(nil(char1)),X1) <=> true1 = X3) => (mem2(tb2t(nil(char1)),concat1(X0,X1)) => true1 = X3))))), 127.89/127.64 inference(rectify,[],[f51])). 127.89/127.64 tff(f106,plain,( 127.89/127.64 ! [X0 : list_char] : tb2t(t2tb(X0)) = X0), 127.89/127.64 inference(rectify,[],[f48])). 127.89/127.64 tff(f108,plain,( 127.89/127.64 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 127.89/127.64 inference(rectify,[],[f19])). 127.89/127.64 tff(f112,plain,( 127.89/127.64 ! [X0 : ty] : (! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)) & length1(X0,nil(X0)) = 0)), 127.89/127.64 inference(rectify,[],[f8])). 127.89/127.64 tff(f118,plain,( 127.89/127.64 ! [X0 : regexp1,X1 : regexp1] : epsilon1 != concat1(X0,X1)), 127.89/127.64 inference(rectify,[],[f33])). 127.89/127.64 tff(f125,plain,( 127.89/127.64 ! [X0 : regexp1,X1 : regexp1] : concat_proj_21(concat1(X0,X1)) = X1), 127.89/127.64 inference(rectify,[],[f40])). 127.89/127.64 tff(f127,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : (! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1) & infix_plpl(X0,nil(X0),X1) = X1)), 127.89/127.64 inference(rectify,[],[f20])). 127.89/127.64 tff(f128,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1)), 127.89/127.64 inference(rectify,[],[f68])). 127.89/127.64 tff(f129,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => (! [X2 : uni,X3 : uni] : (sort1(X0,X2) => (mem(X0,X1,cons(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3)))) & ~mem(X0,X1,nil(X0))))), 127.89/127.64 inference(rectify,[],[f16])). 127.89/127.64 tff(f130,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (mem2(X0,X1) => (? [X2 : char2] : (char3(X2) = X1 & tb2t(cons(char1,t2tb1(X2),nil(char1))) = X0) | ? [X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X3,X4) & alt1(X4,X5) = X1 & X0 = X3) | ? [X6 : regexp1] : (tb2t(nil(char1)) = X0 & star1(X6) = X1) | ? [X7 : list_char,X8 : list_char,X9 : regexp1] : (mem2(X7,X9) & tb2t(infix_plpl(char1,t2tb(X7),t2tb(X8))) = X0 & star1(X9) = X1 & mem2(X8,star1(X9))) | ? [X10 : list_char,X11 : list_char,X12 : regexp1,X13 : regexp1] : (mem2(X10,X12) & concat1(X12,X13) = X1 & tb2t(infix_plpl(char1,t2tb(X10),t2tb(X11))) = X0 & mem2(X11,X13)) | ? [X14 : list_char,X15 : regexp1,X16 : regexp1] : (X0 = X14 & alt1(X15,X16) = X1 & mem2(X14,X16)) | (epsilon1 = X1 & tb2t(nil(char1)) = X0)))), 127.89/127.64 inference(rectify,[],[f31])). 127.89/127.64 tff(f131,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : (length1(X0,X1) = 0 <=> nil(X0) = X1)), 127.89/127.64 inference(rectify,[],[f66])). 127.89/127.64 tff(f134,plain,( 127.89/127.64 ! [X0 : regexp1,X1 : regexp1,X2 : regexp1] : concat1(X0,X1) != star1(X2)), 127.89/127.64 inference(rectify,[],[f18])). 127.89/127.64 tff(f135,plain,( 127.89/127.64 ! [X0 : char2,X1 : regexp1,X2 : regexp1] : char3(X0) != concat1(X1,X2)), 127.89/127.64 inference(rectify,[],[f37])). 127.89/127.64 tff(f138,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni,X2 : uni] : sort1(list(X0),infix_plpl(X0,X1,X2))), 127.89/127.64 inference(rectify,[],[f52])). 127.89/127.64 tff(f139,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_2(X0,cons(X0,X1,X2)) = X2), 127.89/127.64 inference(rectify,[],[f25])). 127.89/127.64 tff(f149,plain,( 127.89/127.64 ! [X0 : regexp1,X1 : regexp1,X2 : regexp1,X3 : regexp1] : alt1(X0,X1) != concat1(X2,X3)), 127.89/127.64 inference(rectify,[],[f62])). 127.89/127.64 tff(f151,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : infix_plpl(X0,X1,infix_plpl(X0,X2,X3)) = infix_plpl(X0,infix_plpl(X0,X1,X2),X3)), 127.89/127.64 inference(rectify,[],[f3])). 127.89/127.64 tff(f152,plain,( 127.89/127.64 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (sort1(X1,X2) => match_list(X1,X0,nil(X0),X2,X3) = X2)), 127.89/127.64 inference(rectify,[],[f29])). 127.89/127.64 tff(f154,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) <=> (mem(X0,X1,X3) | mem(X0,X1,X2)))), 127.89/127.64 inference(rectify,[],[f71])). 127.89/127.64 tff(f156,plain,( 127.89/127.64 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X3) => match_list(X1,X0,cons(X0,X4,X5),X2,X3) = X3)), 127.89/127.64 inference(rectify,[],[f67])). 127.89/127.64 tff(f164,plain,( 127.89/127.64 ? [X0 : regexp1,X1 : regexp1,X2 : bool1] : ((? [X3 : bool1] : ((true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1))) & (mem2(tb2t(nil(char1)),X1) <=> true1 = X3)) & true1 = X2) & (true1 = X2 <=> mem2(tb2t(nil(char1)),X0)))), 127.89/127.64 inference(ennf_transformation,[],[f97])). 127.89/127.64 tff(f165,plain,( 127.89/127.64 ? [X0 : regexp1,X1 : regexp1,X2 : bool1] : (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & (mem2(tb2t(nil(char1)),X1) <=> true1 = X3)) & true1 = X2 & (true1 = X2 <=> mem2(tb2t(nil(char1)),X0)))), 127.89/127.64 inference(flattening,[],[f164])). 127.89/127.64 tff(f167,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : ((mem(X0,X1,cons(X0,X2,X3)) <=> (X1 = X2 | mem(X0,X1,X3))) | ~sort1(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort1(X0,X1))), 127.89/127.64 inference(ennf_transformation,[],[f129])). 127.89/127.64 tff(f168,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : ((? [X2 : char2] : (char3(X2) = X1 & tb2t(cons(char1,t2tb1(X2),nil(char1))) = X0) | ? [X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X3,X4) & alt1(X4,X5) = X1 & X0 = X3) | ? [X6 : regexp1] : (tb2t(nil(char1)) = X0 & star1(X6) = X1) | ? [X7 : list_char,X8 : list_char,X9 : regexp1] : (mem2(X7,X9) & tb2t(infix_plpl(char1,t2tb(X7),t2tb(X8))) = X0 & star1(X9) = X1 & mem2(X8,star1(X9))) | ? [X10 : list_char,X11 : list_char,X12 : regexp1,X13 : regexp1] : (mem2(X10,X12) & concat1(X12,X13) = X1 & tb2t(infix_plpl(char1,t2tb(X10),t2tb(X11))) = X0 & mem2(X11,X13)) | ? [X14 : list_char,X15 : regexp1,X16 : regexp1] : (X0 = X14 & alt1(X15,X16) = X1 & mem2(X14,X16)) | (epsilon1 = X1 & tb2t(nil(char1)) = X0)) | ~mem2(X0,X1))), 127.89/127.64 inference(ennf_transformation,[],[f130])). 127.89/127.64 tff(f169,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X2 : char2] : (char3(X2) = X1 & tb2t(cons(char1,t2tb1(X2),nil(char1))) = X0) | ? [X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X3,X4) & alt1(X4,X5) = X1 & X0 = X3) | ? [X6 : regexp1] : (tb2t(nil(char1)) = X0 & star1(X6) = X1) | ? [X7 : list_char,X8 : list_char,X9 : regexp1] : (mem2(X7,X9) & tb2t(infix_plpl(char1,t2tb(X7),t2tb(X8))) = X0 & star1(X9) = X1 & mem2(X8,star1(X9))) | ? [X10 : list_char,X11 : list_char,X12 : regexp1,X13 : regexp1] : (mem2(X10,X12) & concat1(X12,X13) = X1 & tb2t(infix_plpl(char1,t2tb(X10),t2tb(X11))) = X0 & mem2(X11,X13)) | ? [X14 : list_char,X15 : regexp1,X16 : regexp1] : (X0 = X14 & alt1(X15,X16) = X1 & mem2(X14,X16)) | (epsilon1 = X1 & tb2t(nil(char1)) = X0) | ~mem2(X0,X1))), 127.89/127.64 inference(flattening,[],[f168])). 127.89/127.64 tff(f180,plain,( 127.89/127.64 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (match_list(X1,X0,nil(X0),X2,X3) = X2 | ~sort1(X1,X2))), 127.89/127.64 inference(ennf_transformation,[],[f152])). 127.89/127.64 tff(f183,plain,( 127.89/127.64 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (match_list(X1,X0,cons(X0,X4,X5),X2,X3) = X3 | ~sort1(X1,X3))), 127.89/127.64 inference(ennf_transformation,[],[f156])). 127.89/127.64 tff(f190,plain,( 127.89/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X10 : list_char,X11 : list_char,X12 : regexp1,X13 : regexp1] : (mem2(X10,X12) & concat1(X12,X13) = X1 & tb2t(infix_plpl(char1,t2tb(X10),t2tb(X11))) = X0 & mem2(X11,X13)) | ~sP0(X1,X0))), 127.89/127.64 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 127.89/127.64 tff(f191,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X7 : list_char,X8 : list_char,X9 : regexp1] : (mem2(X7,X9) & tb2t(infix_plpl(char1,t2tb(X7),t2tb(X8))) = X0 & star1(X9) = X1 & mem2(X8,star1(X9))) | ~sP1(X0,X1))), 127.89/127.64 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 127.89/127.64 tff(f192,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X14 : list_char,X15 : regexp1,X16 : regexp1] : (X0 = X14 & alt1(X15,X16) = X1 & mem2(X14,X16)) | ~sP2(X0,X1))), 127.89/127.64 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 127.89/127.64 tff(f193,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X2 : char2] : (char3(X2) = X1 & tb2t(cons(char1,t2tb1(X2),nil(char1))) = X0) | ? [X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X3,X4) & alt1(X4,X5) = X1 & X0 = X3) | ? [X6 : regexp1] : (tb2t(nil(char1)) = X0 & star1(X6) = X1) | sP1(X0,X1) | sP0(X1,X0) | sP2(X0,X1) | (epsilon1 = X1 & tb2t(nil(char1)) = X0) | ~mem2(X0,X1))), 127.89/127.64 inference(definition_folding,[],[f169,f192,f191,f190])). 127.89/127.64 tff(f194,plain,( 127.89/127.64 ? [X0 : regexp1,X1 : regexp1,X2 : bool1] : (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & ((mem2(tb2t(nil(char1)),X1) | true1 != X3) & (true1 = X3 | ~mem2(tb2t(nil(char1)),X1)))) & true1 = X2 & ((true1 = X2 | ~mem2(tb2t(nil(char1)),X0)) & (mem2(tb2t(nil(char1)),X0) | true1 != X2)))), 127.89/127.64 inference(nnf_transformation,[],[f165])). 127.89/127.64 tff(f195,plain,( 127.89/127.64 ? [X0 : regexp1,X1 : regexp1,X2 : bool1] : (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & (mem2(tb2t(nil(char1)),X1) | true1 != X3) & (true1 = X3 | ~mem2(tb2t(nil(char1)),X1))) & true1 = X2 & (true1 = X2 | ~mem2(tb2t(nil(char1)),X0)) & (mem2(tb2t(nil(char1)),X0) | true1 != X2))), 127.89/127.64 inference(flattening,[],[f194])). 127.89/127.64 tff(f196,plain,( 127.89/127.64 ? [X0 : regexp1,X1 : regexp1,X2 : bool1] : (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & (mem2(tb2t(nil(char1)),X1) | true1 != X3) & (true1 = X3 | ~mem2(tb2t(nil(char1)),X1))) & true1 = X2 & (true1 = X2 | ~mem2(tb2t(nil(char1)),X0)) & (mem2(tb2t(nil(char1)),X0) | true1 != X2)) => (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(sK3,sK4)) & (mem2(tb2t(nil(char1)),sK4) | true1 != X3) & (true1 = X3 | ~mem2(tb2t(nil(char1)),sK4))) & true1 = sK5 & (true1 = sK5 | ~mem2(tb2t(nil(char1)),sK3)) & (mem2(tb2t(nil(char1)),sK3) | true1 != sK5))), 127.89/127.64 introduced(choice_axiom,[])). 127.89/127.64 tff(f197,plain,( 127.89/127.64 ( ! [X0:regexp1,X1:regexp1] : (? [X3 : bool1] : (true1 != X3 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & (mem2(tb2t(nil(char1)),X1) | true1 != X3) & (true1 = X3 | ~mem2(tb2t(nil(char1)),X1))) => (true1 != sK6 & mem2(tb2t(nil(char1)),concat1(X0,X1)) & (mem2(tb2t(nil(char1)),X1) | true1 != sK6) & (true1 = sK6 | ~mem2(tb2t(nil(char1)),X1)))) )), 127.89/127.64 introduced(choice_axiom,[])). 127.89/127.64 tff(f198,plain,( 127.89/127.64 (true1 != sK6 & mem2(tb2t(nil(char1)),concat1(sK3,sK4)) & (mem2(tb2t(nil(char1)),sK4) | true1 != sK6) & (true1 = sK6 | ~mem2(tb2t(nil(char1)),sK4))) & true1 = sK5 & (true1 = sK5 | ~mem2(tb2t(nil(char1)),sK3)) & (mem2(tb2t(nil(char1)),sK3) | true1 != sK5)), 127.89/127.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f195,f197,f196])). 127.89/127.64 tff(f199,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & ((X1 = X2 | mem(X0,X1,X3)) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort1(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort1(X0,X1))), 127.89/127.64 inference(nnf_transformation,[],[f167])). 127.89/127.64 tff(f200,plain,( 127.89/127.64 ! [X0 : ty,X1 : uni] : ((! [X2 : uni,X3 : uni] : (((mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3))) & (X1 = X2 | mem(X0,X1,X3) | ~mem(X0,X1,cons(X0,X2,X3)))) | ~sort1(X0,X2)) & ~mem(X0,X1,nil(X0))) | ~sort1(X0,X1))), 127.89/127.64 inference(flattening,[],[f199])). 127.89/127.64 tff(f201,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X14 : list_char,X15 : regexp1,X16 : regexp1] : (X0 = X14 & alt1(X15,X16) = X1 & mem2(X14,X16)) | ~sP2(X0,X1))), 127.89/127.64 inference(nnf_transformation,[],[f192])). 127.89/127.64 tff(f202,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X2 : list_char,X3 : regexp1,X4 : regexp1] : (X0 = X2 & alt1(X3,X4) = X1 & mem2(X2,X4)) | ~sP2(X0,X1))), 127.89/127.64 inference(rectify,[],[f201])). 127.89/127.64 tff(f203,plain,( 127.89/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X2 : list_char,X3 : regexp1,X4 : regexp1] : (X0 = X2 & alt1(X3,X4) = X1 & mem2(X2,X4)) => (sK7(X0,X1) = X0 & alt1(sK8(X0,X1),sK9(X0,X1)) = X1 & mem2(sK7(X0,X1),sK9(X0,X1))))), 127.89/127.64 introduced(choice_axiom,[])). 127.89/127.64 tff(f204,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : ((sK7(X0,X1) = X0 & alt1(sK8(X0,X1),sK9(X0,X1)) = X1 & mem2(sK7(X0,X1),sK9(X0,X1))) | ~sP2(X0,X1))), 127.89/127.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f202,f203])). 127.89/127.64 tff(f205,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X7 : list_char,X8 : list_char,X9 : regexp1] : (mem2(X7,X9) & tb2t(infix_plpl(char1,t2tb(X7),t2tb(X8))) = X0 & star1(X9) = X1 & mem2(X8,star1(X9))) | ~sP1(X0,X1))), 127.89/127.64 inference(nnf_transformation,[],[f191])). 127.89/127.64 tff(f206,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : (? [X2 : list_char,X3 : list_char,X4 : regexp1] : (mem2(X2,X4) & tb2t(infix_plpl(char1,t2tb(X2),t2tb(X3))) = X0 & star1(X4) = X1 & mem2(X3,star1(X4))) | ~sP1(X0,X1))), 127.89/127.64 inference(rectify,[],[f205])). 127.89/127.64 tff(f207,plain,( 127.89/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X2 : list_char,X3 : list_char,X4 : regexp1] : (mem2(X2,X4) & tb2t(infix_plpl(char1,t2tb(X2),t2tb(X3))) = X0 & star1(X4) = X1 & mem2(X3,star1(X4))) => (mem2(sK10(X0,X1),sK12(X0,X1)) & tb2t(infix_plpl(char1,t2tb(sK10(X0,X1)),t2tb(sK11(X0,X1)))) = X0 & star1(sK12(X0,X1)) = X1 & mem2(sK11(X0,X1),star1(sK12(X0,X1)))))), 127.89/127.64 introduced(choice_axiom,[])). 127.89/127.64 tff(f208,plain,( 127.89/127.64 ! [X0 : list_char,X1 : regexp1] : ((mem2(sK10(X0,X1),sK12(X0,X1)) & tb2t(infix_plpl(char1,t2tb(sK10(X0,X1)),t2tb(sK11(X0,X1)))) = X0 & star1(sK12(X0,X1)) = X1 & mem2(sK11(X0,X1),star1(sK12(X0,X1)))) | ~sP1(X0,X1))), 127.89/127.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f206,f207])). 127.89/127.64 tff(f209,plain,( 127.89/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X10 : list_char,X11 : list_char,X12 : regexp1,X13 : regexp1] : (mem2(X10,X12) & concat1(X12,X13) = X1 & tb2t(infix_plpl(char1,t2tb(X10),t2tb(X11))) = X0 & mem2(X11,X13)) | ~sP0(X1,X0))), 127.89/127.64 inference(nnf_transformation,[],[f190])). 127.89/127.64 tff(f210,plain,( 127.89/127.64 ! [X0 : regexp1,X1 : list_char] : (? [X2 : list_char,X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X2,X4) & concat1(X4,X5) = X0 & tb2t(infix_plpl(char1,t2tb(X2),t2tb(X3))) = X1 & mem2(X3,X5)) | ~sP0(X0,X1))), 127.89/127.64 inference(rectify,[],[f209])). 127.98/127.64 tff(f211,plain,( 127.98/127.64 ! [X1 : list_char,X0 : regexp1] : (? [X2 : list_char,X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X2,X4) & concat1(X4,X5) = X0 & tb2t(infix_plpl(char1,t2tb(X2),t2tb(X3))) = X1 & mem2(X3,X5)) => (mem2(sK13(X0,X1),sK15(X0,X1)) & concat1(sK15(X0,X1),sK16(X0,X1)) = X0 & tb2t(infix_plpl(char1,t2tb(sK13(X0,X1)),t2tb(sK14(X0,X1)))) = X1 & mem2(sK14(X0,X1),sK16(X0,X1))))), 127.98/127.64 introduced(choice_axiom,[])). 127.98/127.64 tff(f212,plain,( 127.98/127.64 ! [X0 : regexp1,X1 : list_char] : ((mem2(sK13(X0,X1),sK15(X0,X1)) & concat1(sK15(X0,X1),sK16(X0,X1)) = X0 & tb2t(infix_plpl(char1,t2tb(sK13(X0,X1)),t2tb(sK14(X0,X1)))) = X1 & mem2(sK14(X0,X1),sK16(X0,X1))) | ~sP0(X0,X1))), 127.98/127.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f210,f211])). 127.98/127.64 tff(f213,plain,( 127.98/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X6 : regexp1] : (tb2t(nil(char1)) = X0 & star1(X6) = X1) => (tb2t(nil(char1)) = X0 & star1(sK17(X0,X1)) = X1))), 127.98/127.64 introduced(choice_axiom,[])). 127.98/127.64 tff(f214,plain,( 127.98/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X3 : list_char,X4 : regexp1,X5 : regexp1] : (mem2(X3,X4) & alt1(X4,X5) = X1 & X0 = X3) => (mem2(sK18(X0,X1),sK19(X0,X1)) & alt1(sK19(X0,X1),sK20(X0,X1)) = X1 & sK18(X0,X1) = X0))), 127.98/127.64 introduced(choice_axiom,[])). 127.98/127.64 tff(f215,plain,( 127.98/127.64 ! [X1 : regexp1,X0 : list_char] : (? [X2 : char2] : (char3(X2) = X1 & tb2t(cons(char1,t2tb1(X2),nil(char1))) = X0) => (char3(sK21(X0,X1)) = X1 & tb2t(cons(char1,t2tb1(sK21(X0,X1)),nil(char1))) = X0))), 127.98/127.64 introduced(choice_axiom,[])). 127.98/127.64 tff(f216,plain,( 127.98/127.64 ! [X0 : list_char,X1 : regexp1] : ((char3(sK21(X0,X1)) = X1 & tb2t(cons(char1,t2tb1(sK21(X0,X1)),nil(char1))) = X0) | (mem2(sK18(X0,X1),sK19(X0,X1)) & alt1(sK19(X0,X1),sK20(X0,X1)) = X1 & sK18(X0,X1) = X0) | (tb2t(nil(char1)) = X0 & star1(sK17(X0,X1)) = X1) | sP1(X0,X1) | sP0(X1,X0) | sP2(X0,X1) | (epsilon1 = X1 & tb2t(nil(char1)) = X0) | ~mem2(X0,X1))), 127.98/127.64 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f193,f215,f214,f213])). 127.98/127.64 tff(f217,plain,( 127.98/127.64 ! [X0 : ty,X1 : uni] : ((length1(X0,X1) = 0 | nil(X0) != X1) & (nil(X0) = X1 | length1(X0,X1) != 0))), 127.98/127.64 inference(nnf_transformation,[],[f131])). 127.98/127.64 tff(f220,plain,( 127.98/127.64 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))) & ((mem(X0,X1,X3) | mem(X0,X1,X2)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 127.98/127.64 inference(nnf_transformation,[],[f154])). 127.98/127.64 tff(f221,plain,( 127.98/127.64 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))) & (mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))))), 127.98/127.64 inference(flattening,[],[f220])). 127.98/127.64 tff(f226,plain,( 127.98/127.64 true1 = sK6 | ~mem2(tb2t(nil(char1)),sK4)), 127.98/127.64 inference(cnf_transformation,[],[f198])). 127.98/127.64 tff(f228,plain,( 127.98/127.64 mem2(tb2t(nil(char1)),concat1(sK3,sK4))), 127.98/127.64 inference(cnf_transformation,[],[f198])). 127.98/127.64 tff(f229,plain,( 127.98/127.64 true1 != sK6), 127.98/127.64 inference(cnf_transformation,[],[f198])). 127.98/127.64 tff(f242,plain,( 127.98/127.64 ( ! [X0:list_char] : (tb2t(t2tb(X0)) = X0) )), 127.98/127.64 inference(cnf_transformation,[],[f106])). 127.98/127.64 tff(f244,plain,( 127.98/127.64 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 127.98/127.64 inference(cnf_transformation,[],[f108])). 127.98/127.64 tff(f249,plain,( 127.98/127.64 ( ! [X0:ty] : (length1(X0,nil(X0)) = 0) )), 127.98/127.64 inference(cnf_transformation,[],[f112])). 127.98/127.64 tff(f256,plain,( 127.98/127.64 ( ! [X0:regexp1,X1:regexp1] : (epsilon1 != concat1(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f118])). 127.98/127.64 tff(f260,plain,( 127.98/127.64 ( ! [X0:ty,X1:uni] : (sort1(X0,cons_proj_1(X0,X1))) )), 127.98/127.64 inference(cnf_transformation,[],[f10])). 127.98/127.64 tff(f264,plain,( 127.98/127.64 ( ! [X0:regexp1,X1:regexp1] : (concat_proj_21(concat1(X0,X1)) = X1) )), 127.98/127.64 inference(cnf_transformation,[],[f125])). 127.98/127.64 tff(f267,plain,( 127.98/127.64 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 127.98/127.64 inference(cnf_transformation,[],[f127])). 127.98/127.64 tff(f269,plain,( 127.98/127.64 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 127.98/127.64 inference(cnf_transformation,[],[f128])). 127.98/127.64 tff(f270,plain,( 127.98/127.64 ( ! [X0:ty,X1:uni] : (~mem(X0,X1,nil(X0)) | ~sort1(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f200])). 127.98/127.64 tff(f273,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f200])). 127.98/127.64 tff(f275,plain,( 127.98/127.64 ( ! [X0:list_char,X1:regexp1] : (alt1(sK8(X0,X1),sK9(X0,X1)) = X1 | ~sP2(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f204])). 127.98/127.64 tff(f278,plain,( 127.98/127.64 ( ! [X0:list_char,X1:regexp1] : (star1(sK12(X0,X1)) = X1 | ~sP1(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f208])). 127.98/127.64 tff(f281,plain,( 127.98/127.64 ( ! [X0:regexp1,X1:list_char] : (mem2(sK14(X0,X1),sK16(X0,X1)) | ~sP0(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f212])). 127.98/127.64 tff(f282,plain,( 127.98/127.64 ( ! [X0:regexp1,X1:list_char] : (tb2t(infix_plpl(char1,t2tb(sK13(X0,X1)),t2tb(sK14(X0,X1)))) = X1 | ~sP0(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f212])). 127.98/127.64 tff(f283,plain,( 127.98/127.64 ( ! [X0:regexp1,X1:list_char] : (concat1(sK15(X0,X1),sK16(X0,X1)) = X0 | ~sP0(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f212])). 127.98/127.64 tff(f302,plain,( 127.98/127.64 ( ! [X0:list_char,X1:regexp1] : (char3(sK21(X0,X1)) = X1 | alt1(sK19(X0,X1),sK20(X0,X1)) = X1 | star1(sK17(X0,X1)) = X1 | sP1(X0,X1) | sP0(X1,X0) | sP2(X0,X1) | epsilon1 = X1 | ~mem2(X0,X1)) )), 127.98/127.64 inference(cnf_transformation,[],[f216])). 127.98/127.64 tff(f309,plain,( 127.98/127.64 ( ! [X0:ty,X1:uni] : (nil(X0) = X1 | length1(X0,X1) != 0) )), 127.98/127.64 inference(cnf_transformation,[],[f217])). 127.98/127.64 tff(f313,plain,( 127.98/127.64 ( ! [X2:regexp1,X0:regexp1,X1:regexp1] : (concat1(X0,X1) != star1(X2)) )), 127.98/127.64 inference(cnf_transformation,[],[f134])). 127.98/127.64 tff(f314,plain,( 127.98/127.64 ( ! [X2:regexp1,X0:char2,X1:regexp1] : (char3(X0) != concat1(X1,X2)) )), 127.98/127.64 inference(cnf_transformation,[],[f135])). 127.98/127.64 tff(f317,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X1:uni] : (sort1(list(X0),infix_plpl(X0,X1,X2))) )), 127.98/127.64 inference(cnf_transformation,[],[f138])). 127.98/127.64 tff(f318,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_2(X0,cons(X0,X1,X2)) = X2) )), 127.98/127.64 inference(cnf_transformation,[],[f139])). 127.98/127.64 tff(f330,plain,( 127.98/127.64 ( ! [X2:regexp1,X0:regexp1,X3:regexp1,X1:regexp1] : (alt1(X0,X1) != concat1(X2,X3)) )), 127.98/127.64 inference(cnf_transformation,[],[f149])). 127.98/127.64 tff(f332,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,X1,infix_plpl(X0,X2,X3)) = infix_plpl(X0,infix_plpl(X0,X1,X2),X3)) )), 127.98/127.64 inference(cnf_transformation,[],[f151])). 127.98/127.64 tff(f333,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni,X1:ty] : (match_list(X1,X0,nil(X0),X2,X3) = X2 | ~sort1(X1,X2)) )), 127.98/127.64 inference(cnf_transformation,[],[f180])). 127.98/127.64 tff(f337,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 127.98/127.64 inference(cnf_transformation,[],[f221])). 127.98/127.64 tff(f339,plain,( 127.98/127.64 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (match_list(X1,X0,cons(X0,X4,X5),X2,X3) = X3 | ~sort1(X1,X3)) )), 127.98/127.64 inference(cnf_transformation,[],[f183])). 127.98/127.64 tff(f348,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 127.98/127.64 inference(equality_resolution,[],[f273])). 127.98/127.64 tff(f351,plain,( 127.98/127.64 ( ! [X0:ty,X1:$int] : (length1(X0,nil(X0)) != X1 | 0 = X1) )), 127.98/127.64 inference(theory_flattening,[],[f249])). 127.98/127.64 tff(f354,plain,( 127.98/127.64 ( ! [X2:$int,X0:ty,X1:uni] : (nil(X0) = X1 | length1(X0,X1) != X2 | 0 != X2) )), 127.98/127.64 inference(theory_flattening,[],[f309])). 127.98/127.64 tff(f356,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort1(X0,X2)) )), 127.98/127.64 inference(duplicate_literal_removal,[],[f348])). 127.98/127.64 tff(f363,plain,( 127.98/127.64 ~mem2(tb2t(nil(char1)),sK4)), 127.98/127.64 inference(subsumption_resolution,[],[f226,f229])). 127.98/127.64 tff(f372,plain,( 127.98/127.64 ( ! [X2:$int,X1:uni] : (0 != X2 | length1(char1,X1) != X2 | ~mem2(tb2t(X1),sK4)) )), 127.98/127.64 inference(superposition,[],[f363,f354])). 127.98/127.64 tff(f462,plain,( 127.98/127.64 char3(sK21(tb2t(nil(char1)),concat1(sK3,sK4))) = concat1(sK3,sK4) | alt1(sK19(tb2t(nil(char1)),concat1(sK3,sK4)),sK20(tb2t(nil(char1)),concat1(sK3,sK4))) = concat1(sK3,sK4) | concat1(sK3,sK4) = star1(sK17(tb2t(nil(char1)),concat1(sK3,sK4))) | sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP2(tb2t(nil(char1)),concat1(sK3,sK4)) | epsilon1 = concat1(sK3,sK4)), 127.98/127.64 inference(resolution,[],[f228,f302])). 127.98/127.64 tff(f506,plain,( 127.98/127.64 alt1(sK19(tb2t(nil(char1)),concat1(sK3,sK4)),sK20(tb2t(nil(char1)),concat1(sK3,sK4))) = concat1(sK3,sK4) | concat1(sK3,sK4) = star1(sK17(tb2t(nil(char1)),concat1(sK3,sK4))) | sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP2(tb2t(nil(char1)),concat1(sK3,sK4)) | epsilon1 = concat1(sK3,sK4)), 127.98/127.64 inference(subsumption_resolution,[],[f462,f314])). 127.98/127.64 tff(f507,plain,( 127.98/127.64 concat1(sK3,sK4) = star1(sK17(tb2t(nil(char1)),concat1(sK3,sK4))) | sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP2(tb2t(nil(char1)),concat1(sK3,sK4)) | epsilon1 = concat1(sK3,sK4)), 127.98/127.64 inference(subsumption_resolution,[],[f506,f330])). 127.98/127.64 tff(f508,plain,( 127.98/127.64 sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP2(tb2t(nil(char1)),concat1(sK3,sK4)) | epsilon1 = concat1(sK3,sK4)), 127.98/127.64 inference(subsumption_resolution,[],[f507,f313])). 127.98/127.64 tff(f509,plain,( 127.98/127.64 sP2(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP1(tb2t(nil(char1)),concat1(sK3,sK4))), 127.98/127.64 inference(subsumption_resolution,[],[f508,f256])). 127.98/127.64 tff(f1447,plain,( 127.98/127.64 ( ! [X2:uni,X0:$int,X3:ty,X1:$int] : (X0 != X1 | length1(char1,X2) != X1 | ~mem2(tb2t(X2),sK4) | length1(X3,nil(X3)) != X0) )), 127.98/127.64 inference(superposition,[],[f372,f351])). 127.98/127.64 tff(f1449,plain,( 127.98/127.64 ( ! [X0:uni] : (~mem2(tb2t(X0),sK4) | length1(char1,X0) != 0) )), 127.98/127.64 inference(equality_resolution,[],[f372])). 127.98/127.64 tff(f1482,plain,( 127.98/127.64 ( ! [X64:list_char] : (~mem2(X64,sK4) | length1(char1,t2tb(X64)) != 0) )), 127.98/127.64 inference(superposition,[],[f1449,f242])). 127.98/127.64 tff(f3011,plain,( 127.98/127.64 sP0(concat1(sK3,sK4),tb2t(nil(char1))) | sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | alt1(sK8(tb2t(nil(char1)),concat1(sK3,sK4)),sK9(tb2t(nil(char1)),concat1(sK3,sK4))) = concat1(sK3,sK4)), 127.98/127.64 inference(resolution,[],[f509,f275])). 127.98/127.64 tff(f3033,plain,( 127.98/127.64 sP1(tb2t(nil(char1)),concat1(sK3,sK4)) | sP0(concat1(sK3,sK4),tb2t(nil(char1)))), 127.98/127.64 inference(subsumption_resolution,[],[f3011,f330])). 127.98/127.64 tff(f6448,plain,( 127.98/127.64 sP0(concat1(sK3,sK4),tb2t(nil(char1))) | concat1(sK3,sK4) = star1(sK12(tb2t(nil(char1)),concat1(sK3,sK4)))), 127.98/127.64 inference(resolution,[],[f3033,f278])). 127.98/127.64 tff(f6471,plain,( 127.98/127.64 sP0(concat1(sK3,sK4),tb2t(nil(char1)))), 127.98/127.64 inference(subsumption_resolution,[],[f6448,f313])). 127.98/127.64 tff(f6475,plain,( 127.98/127.64 mem2(sK14(concat1(sK3,sK4),tb2t(nil(char1))),sK16(concat1(sK3,sK4),tb2t(nil(char1))))), 127.98/127.64 inference(resolution,[],[f6471,f281])). 127.98/127.64 tff(f6476,plain,( 127.98/127.64 tb2t(nil(char1)) = tb2t(infix_plpl(char1,t2tb(sK13(concat1(sK3,sK4),tb2t(nil(char1)))),t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))))), 127.98/127.64 inference(resolution,[],[f6471,f282])). 127.98/127.64 tff(f6477,plain,( 127.98/127.64 concat1(sK3,sK4) = concat1(sK15(concat1(sK3,sK4),tb2t(nil(char1))),sK16(concat1(sK3,sK4),tb2t(nil(char1))))), 127.98/127.64 inference(resolution,[],[f6471,f283])). 127.98/127.64 tff(f17907,plain,( 127.98/127.64 ( ! [X2:ty,X0:uni,X1:$int] : (length1(char1,X0) != X1 | ~mem2(tb2t(X0),sK4) | length1(X2,nil(X2)) != X1) )), 127.98/127.64 inference(equality_resolution,[],[f1447])). 127.98/127.64 tff(f17912,plain,( 127.98/127.64 ( ! [X0:uni,X1:ty] : (~mem2(tb2t(X0),sK4) | length1(char1,X0) != length1(X1,nil(X1))) )), 127.98/127.64 inference(equality_resolution,[],[f17907])). 127.98/127.64 tff(f17947,plain,( 127.98/127.64 ( ! [X97:ty,X96:list_char] : (~mem2(X96,sK4) | length1(char1,t2tb(X96)) != length1(X97,nil(X97))) )), 127.98/127.64 inference(superposition,[],[f17912,f242])). 127.98/127.64 tff(f64600,plain,( 127.98/127.64 concat_proj_21(concat1(sK3,sK4)) = sK16(concat1(sK3,sK4),tb2t(nil(char1)))), 127.98/127.64 inference(superposition,[],[f264,f6477])). 127.98/127.64 tff(f64642,plain,( 127.98/127.64 sK4 = sK16(concat1(sK3,sK4),tb2t(nil(char1)))), 127.98/127.64 inference(forward_demodulation,[],[f64600,f264])). 127.98/127.64 tff(f64643,plain,( 127.98/127.64 mem2(sK14(concat1(sK3,sK4),tb2t(nil(char1))),sK4)), 127.98/127.64 inference(backward_demodulation,[],[f64642,f6475])). 127.98/127.64 tff(f64728,plain,( 127.98/127.64 ( ! [X0:ty] : (length1(X0,nil(X0)) != length1(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))))) )), 127.98/127.64 inference(resolution,[],[f64643,f17947])). 127.98/127.64 tff(f64730,plain,( 127.98/127.64 length1(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))) != 0), 127.98/127.64 inference(resolution,[],[f64643,f1482])). 127.98/127.64 tff(f145330,plain,( 127.98/127.64 infix_plpl(char1,t2tb(sK13(concat1(sK3,sK4),tb2t(nil(char1)))),t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))) = t2tb(tb2t(nil(char1)))), 127.98/127.64 inference(superposition,[],[f244,f6476])). 127.98/127.64 tff(f145553,plain,( 127.98/127.64 nil(char1) = infix_plpl(char1,t2tb(sK13(concat1(sK3,sK4),tb2t(nil(char1)))),t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))))), 127.98/127.64 inference(forward_demodulation,[],[f145330,f244])). 127.98/127.64 tff(f184706,plain,( 127.98/127.64 ( ! [X2177:uni] : (mem(char1,X2177,nil(char1)) | ~mem(char1,X2177,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))))) )), 127.98/127.64 inference(superposition,[],[f337,f145553])). 127.98/127.64 tff(f184707,plain,( 127.98/127.64 ( ! [X2178:uni] : (infix_plpl(char1,nil(char1),X2178) = infix_plpl(char1,t2tb(sK13(concat1(sK3,sK4),tb2t(nil(char1)))),infix_plpl(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))),X2178))) )), 127.98/127.64 inference(superposition,[],[f332,f145553])). 127.98/127.64 tff(f184736,plain,( 127.98/127.64 ( ! [X2178:uni] : (infix_plpl(char1,t2tb(sK13(concat1(sK3,sK4),tb2t(nil(char1)))),infix_plpl(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))),X2178)) = X2178) )), 127.98/127.64 inference(forward_demodulation,[],[f184707,f267])). 127.98/127.64 tff(f185110,plain,( 127.98/127.64 ( ! [X0:uni] : (~mem(char1,X0,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))) | ~sort1(char1,X0)) )), 127.98/127.64 inference(resolution,[],[f184706,f270])). 127.98/127.64 tff(f317425,plain,( 127.98/127.64 ( ! [X2265:uni] : (sort1(list(char1),X2265)) )), 127.98/127.64 inference(superposition,[],[f317,f184736])). 127.98/127.64 tff(f317439,plain,( 127.98/127.64 ( ! [X21:uni,X19:ty,X20:uni] : (match_list(list(char1),X19,nil(X19),X20,X21) = X20) )), 127.98/127.64 inference(resolution,[],[f317425,f333])). 127.98/127.64 tff(f317440,plain,( 127.98/127.64 ( ! [X26:uni,X24:uni,X23:uni,X25:uni,X22:ty] : (match_list(list(char1),X22,cons(X22,X23,X24),X25,X26) = X26) )), 127.98/127.64 inference(resolution,[],[f317425,f339])). 127.98/127.64 tff(f317688,plain,( 127.98/127.64 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (match_list(list(char1),X0,X1,X2,X3) = X2 | cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1) )), 127.98/127.64 inference(superposition,[],[f317439,f269])). 127.98/127.64 tff(f322013,plain,( 127.98/127.64 ( ! [X218:uni,X220:uni,X219:uni,X217:ty,X221:uni] : (X220 = X221 | cons(X217,X218,X219) = cons(X217,cons_proj_1(X217,cons(X217,X218,X219)),cons_proj_2(X217,cons(X217,X218,X219)))) )), 127.98/127.64 inference(superposition,[],[f317688,f317440])). 127.98/127.64 tff(f322321,plain,( 127.98/127.64 ( ! [X218:uni,X220:uni,X219:uni,X217:ty,X221:uni] : (cons(X217,X218,X219) = cons(X217,cons_proj_1(X217,cons(X217,X218,X219)),X219) | X220 = X221) )), 127.98/127.64 inference(forward_demodulation,[],[f322013,f318])). 127.98/127.64 tff(f323171,plain,( 127.98/127.64 ( ! [X2:uni,X0:uni,X3:uni,X1:ty] : (length1(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(X0)))) != 0 | cons(X1,X2,X3) = cons(X1,cons_proj_1(X1,cons(X1,X2,X3)),X3)) )), 127.98/127.64 inference(superposition,[],[f64730,f322321])). 127.98/127.64 tff(f324441,plain,( 127.98/127.64 ( ! [X2:uni,X3:uni,X1:ty] : (cons(X1,X2,X3) = cons(X1,cons_proj_1(X1,cons(X1,X2,X3)),X3)) )), 127.98/127.64 inference(subsumption_resolution,[],[f323171,f322321])). 127.98/127.64 tff(f324471,plain,( 127.98/127.64 ( ! [X39:uni,X38:ty,X40:uni] : (mem(X38,cons_proj_1(X38,cons(X38,X39,X40)),cons(X38,X39,X40)) | ~sort1(X38,cons_proj_1(X38,cons(X38,X39,X40)))) )), 127.98/127.64 inference(superposition,[],[f356,f324441])). 127.98/127.64 tff(f324656,plain,( 127.98/127.64 ( ! [X39:uni,X38:ty,X40:uni] : (mem(X38,cons_proj_1(X38,cons(X38,X39,X40)),cons(X38,X39,X40))) )), 127.98/127.64 inference(subsumption_resolution,[],[f324471,f260])). 127.98/127.64 tff(f324730,plain,( 127.98/127.64 ( ! [X4:ty,X5:uni] : (mem(X4,cons_proj_1(X4,X5),X5) | nil(X4) = X5) )), 127.98/127.64 inference(superposition,[],[f324656,f269])). 127.98/127.64 tff(f324824,plain,( 127.98/127.64 nil(char1) = t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1)))) | ~sort1(char1,cons_proj_1(char1,t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))))), 127.98/127.64 inference(resolution,[],[f324730,f185110])). 127.98/127.64 tff(f325168,plain,( 127.98/127.64 nil(char1) = t2tb(sK14(concat1(sK3,sK4),tb2t(nil(char1))))), 127.98/127.64 inference(subsumption_resolution,[],[f324824,f260])). 127.98/127.64 tff(f325178,plain,( 127.98/127.64 ( ! [X0:ty] : (length1(char1,nil(char1)) != length1(X0,nil(X0))) )), 127.98/127.64 inference(backward_demodulation,[],[f325168,f64728])). 127.98/127.64 tff(f325548,plain,( 127.98/127.64 $false), 127.98/127.64 inference(equality_resolution,[],[f325178])). 127.98/127.64 % SZS output end Proof for theBenchmark 127.98/127.64 % ------------------------------ 127.98/127.64 % Version: Vampire 4.1 for CASC J8 Entry 127.98/127.64 % Termination reason: Refutation 127.98/127.64 127.98/127.64 % Memory used [KB]: 225284 127.98/127.64 % Time elapsed: 15.789 s 127.98/127.64 % ------------------------------ 127.98/127.64 % ------------------------------ 127.98/127.65 % Success in time 127.373 s 127.98/127.66 EOF