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 0.03/0.26 % Computer : n008.star.cs.uiowa.edu 0.03/0.26 % Model : x86_64 x86_64 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.26 % Memory : 32218.625MB 0.03/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.26 % CPULimit : 300 0.03/0.26 % DateTime : Sat Jul 14 05:14:25 CDT 2018 0.03/0.26 % CPUTime : 0.03/0.27 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.27 % remaining time: 2999 next slice time: 3 0.03/0.29 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 0.44/0.69 % (37407)Time limit reached! 0.44/0.69 % ------------------------------ 0.44/0.69 % Version: Vampire 4.1 for CASC J8 Entry 0.44/0.69 % Termination reason: Time limit 0.44/0.69 % Termination phase: Saturation 0.44/0.69 0.44/0.69 % Memory used [KB]: 8699 0.44/0.69 % Time elapsed: 0.400 s 0.44/0.69 % ------------------------------ 0.44/0.69 % ------------------------------ 0.44/0.69 % remaining time: 2995 next slice time: 3 0.44/0.70 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 0.87/1.10 % (37408)Time limit reached! 0.87/1.10 % ------------------------------ 0.87/1.10 % Version: Vampire 4.1 for CASC J8 Entry 0.87/1.10 % Termination reason: Time limit 0.87/1.10 % Termination phase: Saturation 0.87/1.10 0.87/1.10 % Memory used [KB]: 8827 0.87/1.10 % Time elapsed: 0.400 s 0.87/1.10 % ------------------------------ 0.87/1.10 % ------------------------------ 0.87/1.10 % remaining time: 2991 next slice time: 5 0.87/1.10 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 1.48/1.70 % (37409)Time limit reached! 1.48/1.70 % ------------------------------ 1.48/1.70 % Version: Vampire 4.1 for CASC J8 Entry 1.48/1.70 % Termination reason: Time limit 1.48/1.70 % Termination phase: Saturation 1.48/1.70 1.48/1.70 % Memory used [KB]: 13304 1.48/1.70 % Time elapsed: 0.600 s 1.48/1.70 % ------------------------------ 1.48/1.70 % ------------------------------ 1.48/1.70 % remaining time: 2985 next slice time: 9 1.48/1.70 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 2.49/2.70 % (37410)Time limit reached! 2.49/2.70 % ------------------------------ 2.49/2.70 % Version: Vampire 4.1 for CASC J8 Entry 2.49/2.70 % Termination reason: Time limit 2.49/2.70 % Termination phase: Saturation 2.49/2.70 2.49/2.70 % Memory used [KB]: 28400 2.49/2.70 % Time elapsed: 1.0000 s 2.49/2.70 % ------------------------------ 2.49/2.70 % ------------------------------ 2.49/2.70 % remaining time: 2975 next slice time: 10 2.49/2.71 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 3.54/3.81 % (37411)Time limit reached! 3.54/3.81 % ------------------------------ 3.54/3.81 % Version: Vampire 4.1 for CASC J8 Entry 3.54/3.81 % Termination reason: Time limit 3.54/3.81 % Termination phase: Saturation 3.54/3.81 3.54/3.81 % Memory used [KB]: 25458 3.54/3.81 % Time elapsed: 1.100 s 3.54/3.81 % ------------------------------ 3.54/3.81 % ------------------------------ 3.54/3.81 % remaining time: 2964 next slice time: 40 3.54/3.81 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 7.71/7.91 % (37412)Time limit reached! 7.71/7.91 % ------------------------------ 7.71/7.91 % Version: Vampire 4.1 for CASC J8 Entry 7.71/7.91 % Termination reason: Time limit 7.71/7.91 % Termination phase: Saturation 7.71/7.91 7.71/7.91 % Memory used [KB]: 62941 7.71/7.91 % Time elapsed: 4.100 s 7.71/7.91 % ------------------------------ 7.71/7.91 % ------------------------------ 7.71/7.92 % remaining time: 2923 next slice time: 10 7.71/7.92 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 8.75/9.02 % (37509)Time limit reached! 8.75/9.02 % ------------------------------ 8.75/9.02 % Version: Vampire 4.1 for CASC J8 Entry 8.75/9.02 % Termination reason: Time limit 8.75/9.02 % Termination phase: Saturation 8.75/9.02 8.75/9.02 % Memory used [KB]: 16758 8.75/9.02 % Time elapsed: 1.100 s 8.75/9.02 % ------------------------------ 8.75/9.02 % ------------------------------ 8.84/9.02 % remaining time: 2912 next slice time: 162 8.84/9.02 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 25.19/25.32 % (37510)Time limit reached! 25.19/25.32 % ------------------------------ 25.19/25.32 % Version: Vampire 4.1 for CASC J8 Entry 25.19/25.32 % Termination reason: Time limit 25.19/25.32 % Termination phase: Saturation 25.19/25.32 25.19/25.32 % Memory used [KB]: 380974 25.19/25.32 % Time elapsed: 16.300 s 25.19/25.32 % ------------------------------ 25.19/25.32 % ------------------------------ 25.19/25.34 % remaining time: 2749 next slice time: 6 25.19/25.34 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 25.92/26.04 % (37512)Time limit reached! 25.92/26.04 % ------------------------------ 25.92/26.04 % Version: Vampire 4.1 for CASC J8 Entry 25.92/26.04 % Termination reason: Time limit 25.92/26.04 % Termination phase: Saturation 25.92/26.04 25.92/26.04 % Memory used [KB]: 4605 25.92/26.04 % Time elapsed: 0.700 s 25.92/26.04 % ------------------------------ 25.92/26.04 % ------------------------------ 25.92/26.04 % remaining time: 2742 next slice time: 6 25.92/26.05 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 26.63/26.74 % (37513)Time limit reached! 26.63/26.74 % ------------------------------ 26.63/26.74 % Version: Vampire 4.1 for CASC J8 Entry 26.63/26.74 % Termination reason: Time limit 26.63/26.74 % Termination phase: Saturation 26.63/26.74 26.63/26.74 % Memory used [KB]: 12920 26.63/26.74 % Time elapsed: 0.700 s 26.63/26.74 % ------------------------------ 26.63/26.74 % ------------------------------ 26.63/26.75 % remaining time: 2735 next slice time: 11 26.63/26.75 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 27.80/27.95 % (37514)Time limit reached! 27.80/27.95 % ------------------------------ 27.80/27.95 % Version: Vampire 4.1 for CASC J8 Entry 27.80/27.95 % Termination reason: Time limit 27.80/27.95 % Termination phase: Saturation 27.80/27.95 27.80/27.95 % Memory used [KB]: 30319 27.80/27.95 % Time elapsed: 1.200 s 27.80/27.95 % ------------------------------ 27.80/27.95 % ------------------------------ 27.80/27.95 % remaining time: 2723 next slice time: 6 27.80/27.95 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 28.49/28.65 % (37515)Time limit reached! 28.49/28.65 % ------------------------------ 28.49/28.65 % Version: Vampire 4.1 for CASC J8 Entry 28.49/28.65 % Termination reason: Time limit 28.49/28.65 % Termination phase: Saturation 28.49/28.65 28.49/28.65 % Memory used [KB]: 8827 28.49/28.65 % Time elapsed: 0.700 s 28.49/28.65 % ------------------------------ 28.49/28.65 % ------------------------------ 28.49/28.65 % remaining time: 2716 next slice time: 6 28.49/28.66 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 29.22/29.35 % (37516)Time limit reached! 29.22/29.35 % ------------------------------ 29.22/29.35 % Version: Vampire 4.1 for CASC J8 Entry 29.22/29.35 % Termination reason: Time limit 29.22/29.35 % Termination phase: Saturation 29.22/29.35 29.22/29.35 % Memory used [KB]: 9850 29.22/29.35 % Time elapsed: 0.700 s 29.22/29.35 % ------------------------------ 29.22/29.35 % ------------------------------ 29.22/29.36 % remaining time: 2709 next slice time: 3 29.22/29.36 dis+10_24_lma=on:nm=64:nwc=1:sas=z3:sac=on:sdd=large:smm=off:ssnc=none:sp=occurrence_1 on theBenchmark 29.62/29.76 % (37517)Time limit reached! 29.62/29.76 % ------------------------------ 29.62/29.76 % Version: Vampire 4.1 for CASC J8 Entry 29.62/29.76 % Termination reason: Time limit 29.62/29.76 % Termination phase: Saturation 29.62/29.76 29.62/29.76 % Memory used [KB]: 5373 29.62/29.76 % Time elapsed: 0.400 s 29.62/29.76 % ------------------------------ 29.62/29.76 % ------------------------------ 29.62/29.76 % remaining time: 2705 next slice time: 11 29.62/29.76 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 30.82/30.96 % (37518)Time limit reached! 30.82/30.96 % ------------------------------ 30.82/30.96 % Version: Vampire 4.1 for CASC J8 Entry 30.82/30.96 % Termination reason: Time limit 30.82/30.96 % Termination phase: Saturation 30.82/30.96 30.82/30.96 % Memory used [KB]: 23411 30.82/30.96 % Time elapsed: 1.200 s 30.82/30.96 % ------------------------------ 30.82/30.96 % ------------------------------ 30.89/30.98 % remaining time: 2693 next slice time: 3 30.89/30.98 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 31.20/31.36 % (37519)Time limit reached! 31.20/31.36 % ------------------------------ 31.20/31.36 % Version: Vampire 4.1 for CASC J8 Entry 31.20/31.36 % Termination reason: Time limit 31.20/31.36 % Termination phase: Saturation 31.20/31.36 31.20/31.36 % Memory used [KB]: 4733 31.20/31.36 % Time elapsed: 0.400 s 31.20/31.36 % ------------------------------ 31.20/31.36 % ------------------------------ 31.20/31.36 % remaining time: 2689 next slice time: 22 31.20/31.37 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 33.54/33.67 % (37520)Time limit reached! 33.54/33.67 % ------------------------------ 33.54/33.67 % Version: Vampire 4.1 for CASC J8 Entry 33.54/33.67 % Termination reason: Time limit 33.54/33.67 % Termination phase: Saturation 33.54/33.67 33.54/33.67 % Memory used [KB]: 74199 33.54/33.67 % Time elapsed: 2.300 s 33.54/33.67 % ------------------------------ 33.54/33.67 % ------------------------------ 33.54/33.67 % remaining time: 2665 next slice time: 11 33.54/33.67 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 34.73/34.87 % (37521)Time limit reached! 34.73/34.87 % ------------------------------ 34.73/34.87 % Version: Vampire 4.1 for CASC J8 Entry 34.73/34.87 % Termination reason: Time limit 34.73/34.87 % Termination phase: Saturation 34.73/34.87 34.73/34.87 % Memory used [KB]: 17014 34.73/34.87 % Time elapsed: 1.200 s 34.73/34.87 % ------------------------------ 34.73/34.87 % ------------------------------ 34.73/34.87 % remaining time: 2653 next slice time: 10 34.82/34.88 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 35.84/35.98 % (37522)Time limit reached! 35.84/35.98 % ------------------------------ 35.84/35.98 % Version: Vampire 4.1 for CASC J8 Entry 35.84/35.98 % Termination reason: Time limit 35.84/35.98 % Termination phase: Saturation 35.84/35.98 35.84/35.98 % Memory used [KB]: 17142 35.84/35.98 % Time elapsed: 1.100 s 35.84/35.98 % ------------------------------ 35.84/35.98 % ------------------------------ 35.84/35.98 % remaining time: 2642 next slice time: 10 35.84/35.98 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 36.98/37.08 % (37523)Time limit reached! 36.98/37.08 % ------------------------------ 36.98/37.08 % Version: Vampire 4.1 for CASC J8 Entry 36.98/37.08 % Termination reason: Time limit 36.98/37.08 % Termination phase: Saturation 36.98/37.08 36.98/37.08 % Memory used [KB]: 48229 36.98/37.08 % Time elapsed: 1.100 s 36.98/37.08 % ------------------------------ 36.98/37.08 % ------------------------------ 36.98/37.08 % remaining time: 2631 next slice time: 19 36.98/37.09 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 38.96/39.08 % (37524)Time limit reached! 38.96/39.08 % ------------------------------ 38.96/39.08 % Version: Vampire 4.1 for CASC J8 Entry 38.96/39.08 % Termination reason: Time limit 38.96/39.08 % Termination phase: Saturation 38.96/39.08 38.96/39.08 % Memory used [KB]: 41577 38.96/39.08 % Time elapsed: 2.0000 s 38.96/39.08 % ------------------------------ 38.96/39.08 % ------------------------------ 38.96/39.09 % remaining time: 2611 next slice time: 6 38.96/39.09 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 39.66/39.79 % (37525)Time limit reached! 39.66/39.79 % ------------------------------ 39.66/39.79 % Version: Vampire 4.1 for CASC J8 Entry 39.66/39.79 % Termination reason: Time limit 39.66/39.79 % Termination phase: Saturation 39.66/39.79 39.66/39.79 % Memory used [KB]: 18549 39.66/39.79 % Time elapsed: 0.700 s 39.66/39.79 % ------------------------------ 39.66/39.79 % ------------------------------ 39.66/39.79 % remaining time: 2604 next slice time: 32 39.66/39.79 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 43.06/43.09 % (37526)Time limit reached! 43.06/43.09 % ------------------------------ 43.06/43.09 % Version: Vampire 4.1 for CASC J8 Entry 43.06/43.09 % Termination reason: Time limit 43.06/43.09 % Termination phase: Saturation 43.06/43.09 43.06/43.09 % Memory used [KB]: 68186 43.06/43.09 % Time elapsed: 3.300 s 43.06/43.09 % ------------------------------ 43.06/43.09 % ------------------------------ 43.06/43.10 % remaining time: 2571 next slice time: 15 43.08/43.10 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 44.60/44.70 % (37527)Time limit reached! 44.60/44.70 % ------------------------------ 44.60/44.70 % Version: Vampire 4.1 for CASC J8 Entry 44.60/44.70 % Termination reason: Time limit 44.60/44.70 % Termination phase: Saturation 44.60/44.70 44.60/44.70 % Memory used [KB]: 17782 44.60/44.70 % Time elapsed: 1.600 s 44.60/44.70 % ------------------------------ 44.60/44.70 % ------------------------------ 44.68/44.70 % remaining time: 2555 next slice time: 4 44.68/44.70 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 45.16/45.18 % (37528)Time limit reached! 45.16/45.18 % ------------------------------ 45.16/45.18 % Version: Vampire 4.1 for CASC J8 Entry 45.16/45.18 % Termination reason: Time limit 45.16/45.18 % Termination phase: Saturation 45.16/45.18 45.16/45.18 % Memory used [KB]: 13944 45.16/45.18 % Time elapsed: 0.500 s 45.16/45.18 % ------------------------------ 45.16/45.18 % ------------------------------ 45.16/45.18 % remaining time: 2550 next slice time: 12 45.16/45.19 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 46.37/46.46 % (37529)Time limit reached! 46.37/46.46 % ------------------------------ 46.37/46.46 % Version: Vampire 4.1 for CASC J8 Entry 46.37/46.46 % Termination reason: Time limit 46.37/46.46 % Termination phase: Saturation 46.37/46.46 46.37/46.46 % Memory used [KB]: 20724 46.37/46.46 % Time elapsed: 1.300 s 46.37/46.46 % ------------------------------ 46.37/46.46 % ------------------------------ 46.37/46.47 % remaining time: 2538 next slice time: 5 46.37/46.47 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 46.47/46.66 % Refutation found. Thanks to Tanya! 46.47/46.66 % SZS status Theorem for theBenchmark 46.47/46.66 % SZS output start Proof for theBenchmark 46.47/46.66 tff(type_def_6, type, uni: $tType). 46.47/46.66 tff(type_def_7, type, ty: $tType). 46.47/46.66 tff(type_def_8, type, bool: $tType). 46.47/46.66 tff(type_def_9, type, tuple0: $tType). 46.47/46.66 tff(type_def_10, type, set1: $tType). 46.47/46.66 tff(type_def_11, type, map_int_lpmap_int_intrp: $tType). 46.47/46.66 tff(type_def_12, type, map_int_int: $tType). 46.47/46.66 tff(type_def_13, type, lpintcm_setrp: $tType). 46.47/46.66 tff(type_def_14, type, lpintcm_map_int_intrp: $tType). 46.47/46.66 tff(type_def_15, type, t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType). 46.47/46.66 tff(type_def_16, type, option_lpintcm_map_int_intrp: $tType). 46.47/46.66 tff(type_def_17, type, map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $tType). 46.47/46.66 tff(func_def_0, type, witness: ty > uni). 46.47/46.66 tff(func_def_1, type, int: ty). 46.47/46.66 tff(func_def_2, type, real: ty). 46.47/46.66 tff(func_def_3, type, bool1: ty). 46.47/46.66 tff(func_def_4, type, true: bool). 46.47/46.66 tff(func_def_5, type, false: bool). 46.47/46.66 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 46.47/46.66 tff(func_def_7, type, tuple01: ty). 46.47/46.66 tff(func_def_8, type, tuple02: tuple0). 46.47/46.66 tff(func_def_9, type, qtmark: ty). 46.47/46.66 tff(func_def_10, type, min: ($int * $int) > $int). 46.47/46.66 tff(func_def_11, type, max: ($int * $int) > $int). 46.47/46.66 tff(func_def_12, type, map: (ty * ty) > ty). 46.47/46.66 tff(func_def_13, type, get: (ty * ty * uni * uni) > uni). 46.47/46.66 tff(func_def_14, type, set: (ty * ty * uni * uni * uni) > uni). 46.47/46.66 tff(func_def_15, type, const: (ty * ty * uni) > uni). 46.47/46.66 tff(func_def_16, type, ref: ty > ty). 46.47/46.66 tff(func_def_17, type, mk_ref: (ty * uni) > uni). 46.47/46.66 tff(func_def_18, type, contents: (ty * uni) > uni). 46.47/46.66 tff(func_def_19, type, n: $int). 46.47/46.66 tff(func_def_20, type, size: $int). 46.47/46.66 tff(func_def_21, type, set2: ty). 46.47/46.66 tff(func_def_22, type, remove: ($int * set1) > set1). 46.47/46.66 tff(func_def_23, type, below: $int > set1). 46.47/46.66 tff(func_def_24, type, cardinal: set1 > $int). 46.47/46.66 tff(func_def_25, type, m: map_int_lpmap_int_intrp). 46.47/46.66 tff(func_def_26, type, t2tb: map_int_int > uni). 46.47/46.66 tff(func_def_27, type, tb2t: uni > map_int_int). 46.47/46.66 tff(func_def_28, type, t2tb1: map_int_lpmap_int_intrp > uni). 46.47/46.66 tff(func_def_29, type, tb2t1: uni > map_int_lpmap_int_intrp). 46.47/46.66 tff(func_def_30, type, t2tb2: $int > uni). 46.47/46.66 tff(func_def_31, type, tb2t2: uni > $int). 46.47/46.66 tff(func_def_32, type, f: (map_int_int * $int) > $int). 46.47/46.66 tff(func_def_33, type, sum: (map_int_int * $int * $int) > $int). 46.47/46.66 tff(func_def_34, type, option: ty > ty). 46.47/46.66 tff(func_def_35, type, none: ty > uni). 46.47/46.66 tff(func_def_36, type, some: (ty * uni) > uni). 46.47/46.66 tff(func_def_37, type, match_option: (ty * ty * uni * uni * uni) > uni). 46.47/46.66 tff(func_def_38, type, some_proj_1: (ty * uni) > uni). 46.47/46.66 tff(func_def_39, type, t: (ty * ty) > ty). 46.47/46.66 tff(func_def_40, type, mk_t: (ty * ty * uni) > uni). 46.47/46.66 tff(func_def_41, type, contents1: (ty * ty * uni) > uni). 46.47/46.66 tff(func_def_42, type, mixfix_lbrb: (ty * ty * uni * uni) > uni). 46.47/46.66 tff(func_def_43, type, tuple2: (ty * ty) > ty). 46.47/46.66 tff(func_def_44, type, tuple21: (ty * ty * uni * uni) > uni). 46.47/46.66 tff(func_def_45, type, tuple2_proj_1: (ty * ty * uni) > uni). 46.47/46.66 tff(func_def_46, type, tuple2_proj_2: (ty * ty * uni) > uni). 46.47/46.66 tff(func_def_47, type, t2tb3: lpintcm_setrp > uni). 46.47/46.66 tff(func_def_48, type, tb2t3: uni > lpintcm_setrp). 46.47/46.66 tff(func_def_49, type, t2tb4: set1 > uni). 46.47/46.66 tff(func_def_50, type, tb2t4: uni > set1). 46.47/46.66 tff(func_def_51, type, t2tb5: lpintcm_map_int_intrp > uni). 46.47/46.66 tff(func_def_52, type, tb2t5: uni > lpintcm_map_int_intrp). 46.47/46.66 tff(func_def_53, type, t2tb6: option_lpintcm_map_int_intrp > uni). 46.47/46.66 tff(func_def_54, type, tb2t6: uni > option_lpintcm_map_int_intrp). 46.47/46.66 tff(func_def_55, type, t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni). 46.47/46.66 tff(func_def_56, type, tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp). 46.47/46.66 tff(func_def_57, type, t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni). 46.47/46.66 tff(func_def_58, type, tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 46.47/46.66 tff(func_def_65, type, sK9: $int). 46.47/46.66 tff(func_def_66, type, sK10: set1). 46.47/46.66 tff(func_def_67, type, sK11: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 46.47/46.66 tff(func_def_68, type, sK12: set1 > $int). 46.47/46.66 tff(func_def_69, type, sK13: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_setrp). 46.47/46.66 tff(func_def_70, type, sK14: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_map_int_intrp). 46.47/46.66 tff(func_def_71, type, sK15: (map_int_int * $int) > $int). 46.47/46.66 tff(func_def_72, type, sK16: (map_int_int * $int) > $int). 46.47/46.66 tff(func_def_73, type, sK17: (map_int_int * $int) > $int). 46.47/46.66 tff(func_def_74, type, sK18: set1 > $int). 46.47/46.66 tff(func_def_75, type, sK19: (map_int_int * map_int_int * $int * $int) > $int). 46.47/46.66 tff(func_def_76, type, sK20: (set1 * map_int_int * $int) > $int). 46.47/46.66 tff(func_def_77, type, sK21: ($int * $int * set1) > map_int_int). 46.47/46.66 tff(func_def_78, type, sK22: (set1 * map_int_int * $int) > $int). 46.47/46.66 tff(pred_def_1, type, sort: (ty * uni) > $o). 46.47/46.66 tff(pred_def_2, type, mem: ($int * set1) > $o). 46.47/46.66 tff(pred_def_3, type, solution: (map_int_int * $int) > $o). 46.47/46.66 tff(pred_def_4, type, pre: lpintcm_setrp > $o). 46.47/46.66 tff(pred_def_5, type, post: (lpintcm_setrp * lpintcm_map_int_intrp) > $o). 46.47/46.66 tff(pred_def_6, type, inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o). 46.47/46.66 tff(pred_def_9, type, sP0: ($int * $int) > $o). 46.47/46.66 tff(pred_def_10, type, sP1: ($int * $int) > $o). 46.47/46.66 tff(pred_def_11, type, sP2: (map_int_int * $int) > $o). 46.47/46.66 tff(pred_def_12, type, sP3: (map_int_int * $int) > $o). 46.47/46.66 tff(pred_def_13, type, sP4: set1 > $o). 46.47/46.66 tff(pred_def_14, type, sP5: (map_int_int * map_int_int * $int * $int) > $o). 46.47/46.66 tff(pred_def_15, type, sP6: (set1 * map_int_int * $int) > $o). 46.47/46.66 tff(pred_def_16, type, sP7: ($int * $int * set1) > $o). 46.47/46.66 tff(pred_def_17, type, sP8: (set1 * map_int_int * $int) > $o). 46.47/46.66 tff(f1,axiom,( 46.47/46.66 ! [X0 : set1] : sort(set2,t2tb4(X0))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort4)). 46.47/46.66 tff(f24,axiom,( 46.47/46.66 ! [X0 : $int,X10 : $int] : ($lesseq(X10,X0) => max(X0,X10) = X0)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_x)). 46.47/46.66 tff(f27,axiom,( 46.47/46.66 ! [X0 : $int,X10 : $int] : ($lesseq(X0,max(X0,X10)) & $lesseq(X10,max(X0,X10)))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_ge)). 46.47/46.66 tff(f30,axiom,( 46.47/46.66 ! [X2 : $int] : ($less(X2,n) => ! [X12 : $int,X1 : map_int_int] : sum(tb2t(set(int,int,t2tb(X1),t2tb2(X2),t2tb2(X12))),X2,n) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X2)),t2tb2(X12))),sum(X1,$sum(X2,1),n)))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_ind)). 46.47/46.66 tff(f36,conjecture,( 46.47/46.66 ! [X2 : $int,X17 : set1,X19 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19))))) => (n = X2 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19)))) & post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_maximum)). 46.47/46.66 tff(f37,negated_conjecture,( 46.47/46.66 ~! [X2 : $int,X17 : set1,X19 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19))))) => (n = X2 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19)))) & post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 46.47/46.66 inference(negated_conjecture,[],[f36])). 46.47/46.66 tff(f42,axiom,( 46.47/46.66 ! [X20 : map_int_int,X21 : map_int_int,X2 : $int,X12 : $int] : (! [X14 : $int] : (($less(X14,X12) & $lesseq(X2,X14)) => f(X20,X14) = f(X21,X14)) => sum(X20,X2,X12) = sum(X21,X2,X12))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_eq)). 46.47/46.66 tff(f47,axiom,( 46.47/46.66 ! [X2 : $int,X17 : set1] : (($lesseq(0,X2) & ! [X14 : $int] : (mem(X14,X17) => ($lesseq(0,X14) & $less(X14,n))) & cardinal(X17) = $difference(n,X2) & $lesseq(X2,n)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_def)). 46.47/46.66 tff(f48,axiom,( 46.47/46.66 ! [X2 : $int,X17 : set1,X22 : $int,X23 : map_int_int] : (($lesseq(0,X22) & ! [X14 : $int] : (($less(X14,n) & $lesseq(X2,X14)) => mem(tb2t2(get(int,int,t2tb(X23),t2tb2(X14))),X17)) & ! [X1 : map_int_int] : (solution(X1,X2) => (! [X14 : $int] : (($less(X14,n) & $lesseq(X2,X14)) => mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),X17)) => $lesseq(sum(X1,X2,n),X22))) & sum(X23,X2,n) = X22 & solution(X23,X2)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(X22),t2tb(X23)))))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',post_def)). 46.47/46.66 tff(f51,axiom,( 46.47/46.66 ! [X12 : uni] : t2tb2(tb2t2(X12)) = X12), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2)). 46.47/46.66 tff(f53,axiom,( 46.47/46.66 ! [X0 : $int,X10 : $int] : (max(X0,X10) = X10 | max(X0,X10) = X0)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_is_some)). 46.47/46.66 tff(f57,axiom,( 46.47/46.66 true != false), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)). 46.47/46.66 tff(f58,axiom,( 46.47/46.66 $lesseq(n,size)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',integer_size)). 46.47/46.66 tff(f64,axiom,( 46.47/46.66 ! [X2 : $int] : tb2t2(t2tb2(X2)) = X2), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL2)). 46.47/46.66 tff(f71,axiom,( 46.47/46.66 ! [X12 : uni] : (sort(set2,X12) => t2tb4(tb2t4(X12)) = X12)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR4)). 46.47/46.66 tff(f74,axiom,( 46.47/46.66 ! [X1 : set1] : (! [X0 : $int] : ~mem(X0,X1) <=> cardinal(X1) = 0)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_empty)). 46.47/46.66 tff(f75,axiom,( 46.47/46.66 $lesseq(0,n)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_nonneg)). 46.47/46.66 tff(f81,axiom,( 46.47/46.66 ! [X1 : map_int_int,X2 : $int] : (solution(X1,X2) <=> (! [X26 : $int,X27 : $int] : (($less(X26,X27) & $less(X27,n) & $lesseq(X2,X26)) => tb2t2(get(int,int,t2tb(X1),t2tb2(X26))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X27)))) & ! [X14 : $int] : (($lesseq(X2,X14) & $less(X14,n)) => ($less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),n) & $lesseq(0,tb2t2(get(int,int,t2tb(X1),t2tb2(X14))))))))), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',solution_def)). 46.47/46.66 tff(f84,axiom,( 46.47/46.66 ! [X12 : uni] : t2tb(tb2t(X12)) = X12), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)). 46.47/46.66 tff(f95,axiom,( 46.47/46.66 ! [X17 : map_int_int,X2 : $int,X12 : $int] : ($lesseq(X12,X2) => sum(X17,X2,X12) = 0)), 46.47/46.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def_empty)). 46.47/46.66 tff(f99,plain,( 46.47/46.66 ~$less(n,0)), 46.47/46.66 inference(evaluation,[],[f75])). 46.47/46.66 tff(f100,plain,( 46.47/46.66 ~$less(size,n)), 46.47/46.66 inference(evaluation,[],[f58])). 46.47/46.66 tff(f102,plain,( 46.47/46.66 ! [X0 : $int,X10 : $int] : (~$less(max(X0,X10),X0) & ~$less(max(X0,X10),X10))), 46.47/46.66 inference(evaluation,[],[f27])). 46.47/46.66 tff(f104,plain,( 46.47/46.66 ! [X0 : $int,X10 : $int] : (~$less(X0,X10) => max(X0,X10) = X0)), 46.47/46.66 inference(evaluation,[],[f24])). 46.47/46.66 tff(f112,plain,( 46.47/46.66 ! [X1 : map_int_int,X2 : $int] : (solution(X1,X2) <=> (! [X26 : $int,X27 : $int] : (($less(X26,X27) & $less(X27,n) & ~$less(X26,X2)) => tb2t2(get(int,int,t2tb(X1),t2tb2(X26))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X27)))) & ! [X14 : $int] : ((~$less(X14,X2) & $less(X14,n)) => ($less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),n) & ~$less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),0)))))), 46.47/46.66 inference(evaluation,[],[f81])). 46.47/46.66 tff(f113,plain,( 46.47/46.66 ! [X2 : $int,X17 : set1] : ((~$less(X2,0) & ! [X14 : $int] : (mem(X14,X17) => (~$less(X14,0) & $less(X14,n))) & cardinal(X17) = $sum(n,$uminus(X2)) & ~$less(n,X2)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))))), 46.47/46.66 inference(evaluation,[],[f47])). 46.47/46.66 tff(f115,plain,( 46.47/46.66 ! [X17 : map_int_int,X2 : $int,X12 : $int] : (~$less(X2,X12) => sum(X17,X2,X12) = 0)), 46.47/46.66 inference(evaluation,[],[f95])). 46.47/46.66 tff(f118,plain,( 46.47/46.66 ! [X20 : map_int_int,X21 : map_int_int,X2 : $int,X12 : $int] : (! [X14 : $int] : (($less(X14,X12) & ~$less(X14,X2)) => f(X20,X14) = f(X21,X14)) => sum(X20,X2,X12) = sum(X21,X2,X12))), 46.47/46.66 inference(evaluation,[],[f42])). 46.47/46.66 tff(f119,plain,( 46.47/46.66 ! [X2 : $int,X17 : set1,X22 : $int,X23 : map_int_int] : ((~$less(X22,0) & ! [X14 : $int] : (($less(X14,n) & ~$less(X14,X2)) => mem(tb2t2(get(int,int,t2tb(X23),t2tb2(X14))),X17)) & ! [X1 : map_int_int] : (solution(X1,X2) => (! [X14 : $int] : (($less(X14,n) & ~$less(X14,X2)) => mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),X17)) => ~$less(X22,sum(X1,X2,n)))) & sum(X23,X2,n) = X22 & solution(X23,X2)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(X22),t2tb(X23)))))), 46.47/46.66 inference(evaluation,[],[f48])). 46.47/46.66 tff(f124,plain,( 46.47/46.66 ( ! [X0:$int] : ($sum(X0,$uminus(X0)) = 0) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f125,plain,( 46.47/46.66 ( ! [X0:$int] : (~$less(X0,X0)) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f126,plain,( 46.47/46.66 ( ! [X2:$int,X0:$int,X1:$int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f127,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f129,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f130,plain,( 46.47/46.66 ( ! [X0:$int] : ($uminus($uminus(X0)) = X0) )), 46.47/46.66 introduced(theory_axiom,[])). 46.47/46.66 tff(f138,plain,( 46.47/46.66 ~! [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))) => (n = X0 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) & post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 46.47/46.66 inference(rectify,[],[f37])). 46.47/46.66 tff(f141,plain,( 46.47/46.66 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 46.47/46.66 inference(rectify,[],[f84])). 46.47/46.66 tff(f144,plain,( 46.47/46.66 ! [X0 : $int] : tb2t2(t2tb2(X0)) = X0), 46.47/46.66 inference(rectify,[],[f64])). 46.47/46.66 tff(f148,plain,( 46.47/46.66 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 46.47/46.66 inference(rectify,[],[f51])). 46.47/46.66 tff(f160,plain,( 46.47/46.66 ! [X0 : $int] : ($less(X0,n) => ! [X1 : $int,X2 : map_int_int] : sum(tb2t(set(int,int,t2tb(X2),t2tb2(X0),t2tb2(X1))),X0,n) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),sum(X2,$sum(X0,1),n)))), 46.47/46.66 inference(rectify,[],[f30])). 46.47/46.66 tff(f161,plain,( 46.47/46.66 ! [X0 : uni] : (sort(set2,X0) => t2tb4(tb2t4(X0)) = X0)), 46.47/46.66 inference(rectify,[],[f71])). 46.47/46.66 tff(f163,plain,( 46.47/46.66 ! [X0 : set1] : (! [X1 : $int] : ~mem(X1,X0) <=> cardinal(X0) = 0)), 46.47/46.66 inference(rectify,[],[f74])). 46.47/46.66 tff(f171,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0) & ~$less(max(X0,X1),X1))), 46.47/46.66 inference(rectify,[],[f102])). 46.47/46.66 tff(f174,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | max(X0,X1) = X0)), 46.47/46.66 inference(rectify,[],[f53])). 46.47/46.66 tff(f175,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = X0)), 46.47/46.66 inference(rectify,[],[f104])). 46.47/46.66 tff(f187,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (($less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) => tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3)))) & ! [X4 : $int] : ((~$less(X4,X1) & $less(X4,n)) => ($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)))))), 46.47/46.66 inference(rectify,[],[f112])). 46.47/46.66 tff(f188,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1] : ((~$less(X0,0) & ! [X2 : $int] : (mem(X2,X1) => (~$less(X2,0) & $less(X2,n))) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))))), 46.47/46.66 inference(rectify,[],[f113])). 46.47/46.66 tff(f196,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (~$less(X1,X2) => sum(X0,X1,X2) = 0)), 46.47/46.66 inference(rectify,[],[f115])). 46.47/46.66 tff(f214,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,X2)) => f(X0,X4) = f(X1,X4)) => sum(X0,X2,X3) = sum(X1,X2,X3))), 46.47/46.66 inference(rectify,[],[f118])). 46.47/46.66 tff(f215,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (($less(X4,n) & ~$less(X4,X0)) => mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1)) & ! [X5 : map_int_int] : (solution(X5,X0) => (! [X6 : $int] : (($less(X6,n) & ~$less(X6,X0)) => mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1)) => ~$less(X2,sum(X5,X0,n)))) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 46.47/46.66 inference(rectify,[],[f119])). 46.47/46.66 tff(f221,plain,( 46.47/46.66 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))))), 46.47/46.66 inference(ennf_transformation,[],[f138])). 46.47/46.66 tff(f222,plain,( 46.47/46.66 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0 & pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))))), 46.47/46.66 inference(flattening,[],[f221])). 46.47/46.66 tff(f223,plain,( 46.47/46.66 ! [X0 : $int] : (! [X1 : $int,X2 : map_int_int] : sum(tb2t(set(int,int,t2tb(X2),t2tb2(X0),t2tb2(X1))),X0,n) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),sum(X2,$sum(X0,1),n)) | ~$less(X0,n))), 46.47/46.66 inference(ennf_transformation,[],[f160])). 46.47/46.66 tff(f224,plain,( 46.47/46.66 ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0))), 46.47/46.66 inference(ennf_transformation,[],[f161])). 46.47/46.66 tff(f229,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 46.47/46.66 inference(ennf_transformation,[],[f175])). 46.47/46.66 tff(f244,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | (~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1))) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | ($less(X4,X1) | ~$less(X4,n)))))), 46.47/46.66 inference(ennf_transformation,[],[f187])). 46.47/46.66 tff(f245,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n))))), 46.47/46.66 inference(flattening,[],[f244])). 46.47/46.66 tff(f246,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1] : ((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))))), 46.47/46.66 inference(ennf_transformation,[],[f188])). 46.47/46.66 tff(f249,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (sum(X0,X1,X2) = 0 | $less(X1,X2))), 46.47/46.66 inference(ennf_transformation,[],[f196])). 46.47/46.66 tff(f263,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | ? [X4 : $int] : (f(X0,X4) != f(X1,X4) & ($less(X4,X3) & ~$less(X4,X2))))), 46.47/46.66 inference(ennf_transformation,[],[f214])). 46.47/46.66 tff(f264,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | ? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X3) & ~$less(X4,X2)))), 46.47/46.66 inference(flattening,[],[f263])). 46.47/46.66 tff(f265,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | (~$less(X4,n) | $less(X4,X0))) & ! [X5 : map_int_int] : ((~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & ($less(X6,n) & ~$less(X6,X0)))) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 46.47/46.66 inference(ennf_transformation,[],[f215])). 46.47/46.66 tff(f266,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 46.47/46.66 inference(flattening,[],[f265])). 46.47/46.66 tff(f272,plain,( 46.47/46.66 ! [X1 : $int,X0 : $int] : (sP0(X1,X0) <=> ($less(X0,X1) & ~$less(X0,0)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 46.47/46.66 tff(f275,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (sP2(X0,X1) <=> ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])])). 46.47/46.66 tff(f276,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (sP3(X0,X1) <=> ! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])])). 46.47/46.66 tff(f277,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (sP3(X0,X1) & sP2(X0,X1)))), 46.47/46.66 inference(definition_folding,[],[f245,f276,f275])). 46.47/46.66 tff(f278,plain,( 46.47/46.66 ! [X1 : set1] : (sP4(X1) <=> ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])])). 46.47/46.66 tff(f279,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1] : ((~$less(X0,0) & sP4(X1) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))))), 46.47/46.66 inference(definition_folding,[],[f246,f278])). 46.47/46.66 tff(f280,plain,( 46.47/46.66 ! [X1 : map_int_int,X0 : map_int_int,X3 : $int,X2 : $int] : (? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X3) & ~$less(X4,X2)) | ~sP5(X1,X0,X3,X2))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 46.47/46.66 tff(f281,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | sP5(X1,X0,X3,X2))), 46.47/46.66 inference(definition_folding,[],[f264,f280])). 46.47/46.66 tff(f282,plain,( 46.47/46.66 ! [X1 : set1,X5 : map_int_int,X0 : $int] : (sP6(X1,X5,X0) <=> ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 46.47/46.66 tff(f283,plain,( 46.47/46.66 ! [X0 : $int,X2 : $int,X1 : set1] : (sP7(X0,X2,X1) <=> ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | sP6(X1,X5,X0) | ~solution(X5,X0)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])])). 46.47/46.66 tff(f284,plain,( 46.47/46.66 ! [X1 : set1,X3 : map_int_int,X0 : $int] : (sP8(X1,X3,X0) <=> ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)))), 46.47/46.66 introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])])). 46.47/46.66 tff(f285,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & sP8(X1,X3,X0) & sP7(X0,X2,X1) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 46.47/46.66 inference(definition_folding,[],[f266,f284,f283,f282])). 46.47/46.66 tff(f286,plain,( 46.47/46.66 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0 & pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))) => ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = sK9 & pre(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11)))))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f287,plain,( 46.47/46.66 (~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = sK9 & pre(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11))))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f222,f286])). 46.47/46.66 tff(f288,plain,( 46.47/46.66 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | ? [X1 : $int] : mem(X1,X0)))), 46.47/46.66 inference(nnf_transformation,[],[f163])). 46.47/46.66 tff(f289,plain,( 46.47/46.66 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | ? [X2 : $int] : mem(X2,X0)))), 46.47/46.66 inference(rectify,[],[f288])). 46.47/46.66 tff(f290,plain,( 46.47/46.66 ! [X0 : set1] : (? [X2 : $int] : mem(X2,X0) => mem(sK12(X0),X0))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f291,plain,( 46.47/46.66 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | mem(sK12(X0),X0)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f289,f290])). 46.47/46.66 tff(f298,plain,( 46.47/46.66 ! [X1 : $int,X0 : $int] : ((sP0(X1,X0) | (~$less(X0,X1) | $less(X0,0))) & (($less(X0,X1) & ~$less(X0,0)) | ~sP0(X1,X0)))), 46.47/46.66 inference(nnf_transformation,[],[f272])). 46.47/46.66 tff(f299,plain,( 46.47/46.66 ! [X1 : $int,X0 : $int] : ((sP0(X1,X0) | ~$less(X0,X1) | $less(X0,0)) & (($less(X0,X1) & ~$less(X0,0)) | ~sP0(X1,X0)))), 46.47/46.66 inference(flattening,[],[f298])). 46.47/46.66 tff(f300,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int] : ((sP0(X0,X1) | ~$less(X1,X0) | $less(X1,0)) & (($less(X1,X0) & ~$less(X1,0)) | ~sP0(X0,X1)))), 46.47/46.66 inference(rectify,[],[f299])). 46.47/46.66 tff(f301,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP3(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1))) & (! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)) | ~sP3(X0,X1)))), 46.47/46.66 inference(nnf_transformation,[],[f276])). 46.47/46.66 tff(f302,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP3(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1))) & (! [X4 : $int,X5 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X5))) | ~$less(X4,X5) | ~$less(X5,n) | $less(X4,X1)) | ~sP3(X0,X1)))), 46.47/46.66 inference(rectify,[],[f301])). 46.47/46.66 tff(f303,plain,( 46.47/46.66 ! [X1 : $int,X0 : map_int_int] : (? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) => (tb2t2(get(int,int,t2tb(X0),t2tb2(sK15(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK16(X0,X1)))) & $less(sK15(X0,X1),sK16(X0,X1)) & $less(sK16(X0,X1),n) & ~$less(sK15(X0,X1),X1)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f304,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP3(X0,X1) | (tb2t2(get(int,int,t2tb(X0),t2tb2(sK15(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK16(X0,X1)))) & $less(sK15(X0,X1),sK16(X0,X1)) & $less(sK16(X0,X1),n) & ~$less(sK15(X0,X1),X1))) & (! [X4 : $int,X5 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X4))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X5))) | ~$less(X4,X5) | ~$less(X5,n) | $less(X4,X1)) | ~sP3(X0,X1)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f302,f303])). 46.47/46.66 tff(f305,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP2(X0,X1) | ? [X4 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) & ~$less(X4,X1) & $less(X4,n))) & (! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n)) | ~sP2(X0,X1)))), 46.47/46.66 inference(nnf_transformation,[],[f275])). 46.47/46.66 tff(f306,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP2(X0,X1) | ? [X2 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),0)) & ~$less(X2,X1) & $less(X2,n))) & (! [X3 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),0)) | $less(X3,X1) | ~$less(X3,n)) | ~sP2(X0,X1)))), 46.47/46.66 inference(rectify,[],[f305])). 46.47/46.66 tff(f307,plain,( 46.47/46.66 ! [X1 : $int,X0 : map_int_int] : (? [X2 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),0)) & ~$less(X2,X1) & $less(X2,n)) => ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK17(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK17(X0,X1)))),0)) & ~$less(sK17(X0,X1),X1) & $less(sK17(X0,X1),n)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f308,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((sP2(X0,X1) | ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK17(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK17(X0,X1)))),0)) & ~$less(sK17(X0,X1),X1) & $less(sK17(X0,X1),n))) & (! [X3 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),0)) | $less(X3,X1) | ~$less(X3,n)) | ~sP2(X0,X1)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f306,f307])). 46.47/46.66 tff(f309,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | (~sP3(X0,X1) | ~sP2(X0,X1))) & ((sP3(X0,X1) & sP2(X0,X1)) | ~solution(X0,X1)))), 46.47/46.66 inference(nnf_transformation,[],[f277])). 46.47/46.66 tff(f310,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | ~sP3(X0,X1) | ~sP2(X0,X1)) & ((sP3(X0,X1) & sP2(X0,X1)) | ~solution(X0,X1)))), 46.47/46.66 inference(flattening,[],[f309])). 46.47/46.66 tff(f311,plain,( 46.47/46.66 ! [X1 : set1] : ((sP4(X1) | ? [X2 : $int] : (($less(X2,0) | ~$less(X2,n)) & mem(X2,X1))) & (! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) | ~sP4(X1)))), 46.47/46.66 inference(nnf_transformation,[],[f278])). 46.47/46.66 tff(f312,plain,( 46.47/46.66 ! [X0 : set1] : ((sP4(X0) | ? [X1 : $int] : (($less(X1,0) | ~$less(X1,n)) & mem(X1,X0))) & (! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X0)) | ~sP4(X0)))), 46.47/46.66 inference(rectify,[],[f311])). 46.47/46.66 tff(f313,plain,( 46.47/46.66 ! [X0 : set1] : (? [X1 : $int] : (($less(X1,0) | ~$less(X1,n)) & mem(X1,X0)) => (($less(sK18(X0),0) | ~$less(sK18(X0),n)) & mem(sK18(X0),X0)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f314,plain,( 46.47/46.66 ! [X0 : set1] : ((sP4(X0) | (($less(sK18(X0),0) | ~$less(sK18(X0),n)) & mem(sK18(X0),X0))) & (! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X0)) | ~sP4(X0)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f312,f313])). 46.47/46.66 tff(f315,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & sP4(X1) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | ($less(X0,0) | ~sP4(X1) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0))))), 46.47/46.66 inference(nnf_transformation,[],[f279])). 46.47/46.66 tff(f316,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & sP4(X1) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | ~sP4(X1) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)))), 46.47/46.66 inference(flattening,[],[f315])). 46.47/46.66 tff(f319,plain,( 46.47/46.66 ! [X1 : map_int_int,X0 : map_int_int,X3 : $int,X2 : $int] : (? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X3) & ~$less(X4,X2)) | ~sP5(X1,X0,X3,X2))), 46.47/46.66 inference(nnf_transformation,[],[f280])). 46.47/46.66 tff(f320,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X2) & ~$less(X4,X3)) | ~sP5(X0,X1,X2,X3))), 46.47/46.66 inference(rectify,[],[f319])). 46.47/46.66 tff(f321,plain,( 46.47/46.66 ! [X3 : $int,X2 : $int,X1 : map_int_int,X0 : map_int_int] : (? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X2) & ~$less(X4,X3)) => (f(X0,sK19(X0,X1,X2,X3)) != f(X1,sK19(X0,X1,X2,X3)) & $less(sK19(X0,X1,X2,X3),X2) & ~$less(sK19(X0,X1,X2,X3),X3)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f322,plain,( 46.47/46.66 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : ((f(X0,sK19(X0,X1,X2,X3)) != f(X1,sK19(X0,X1,X2,X3)) & $less(sK19(X0,X1,X2,X3),X2) & ~$less(sK19(X0,X1,X2,X3),X3)) | ~sP5(X0,X1,X2,X3))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f320,f321])). 46.47/46.66 tff(f323,plain,( 46.47/46.66 ! [X1 : set1,X3 : map_int_int,X0 : $int] : ((sP8(X1,X3,X0) | ? [X4 : $int] : (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) & $less(X4,n) & ~$less(X4,X0))) & (! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) | ~sP8(X1,X3,X0)))), 46.47/46.66 inference(nnf_transformation,[],[f284])). 46.47/46.66 tff(f324,plain,( 46.47/46.66 ! [X0 : set1,X1 : map_int_int,X2 : $int] : ((sP8(X0,X1,X2) | ? [X3 : $int] : (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X3))),X0) & $less(X3,n) & ~$less(X3,X2))) & (! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X0) | ~$less(X4,n) | $less(X4,X2)) | ~sP8(X0,X1,X2)))), 46.47/46.66 inference(rectify,[],[f323])). 46.47/46.66 tff(f325,plain,( 46.47/46.66 ! [X2 : $int,X1 : map_int_int,X0 : set1] : (? [X3 : $int] : (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X3))),X0) & $less(X3,n) & ~$less(X3,X2)) => (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(sK20(X0,X1,X2)))),X0) & $less(sK20(X0,X1,X2),n) & ~$less(sK20(X0,X1,X2),X2)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f326,plain,( 46.47/46.66 ! [X0 : set1,X1 : map_int_int,X2 : $int] : ((sP8(X0,X1,X2) | (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(sK20(X0,X1,X2)))),X0) & $less(sK20(X0,X1,X2),n) & ~$less(sK20(X0,X1,X2),X2))) & (! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X0) | ~$less(X4,n) | $less(X4,X2)) | ~sP8(X0,X1,X2)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f324,f325])). 46.47/46.66 tff(f327,plain,( 46.47/46.66 ! [X0 : $int,X2 : $int,X1 : set1] : ((sP7(X0,X2,X1) | ? [X5 : map_int_int] : ($less(X2,sum(X5,X0,n)) & ~sP6(X1,X5,X0) & solution(X5,X0))) & (! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | sP6(X1,X5,X0) | ~solution(X5,X0)) | ~sP7(X0,X2,X1)))), 46.47/46.66 inference(nnf_transformation,[],[f283])). 46.47/46.66 tff(f328,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int,X2 : set1] : ((sP7(X0,X1,X2) | ? [X3 : map_int_int] : ($less(X1,sum(X3,X0,n)) & ~sP6(X2,X3,X0) & solution(X3,X0))) & (! [X4 : map_int_int] : (~$less(X1,sum(X4,X0,n)) | sP6(X2,X4,X0) | ~solution(X4,X0)) | ~sP7(X0,X1,X2)))), 46.47/46.66 inference(rectify,[],[f327])). 46.47/46.66 tff(f329,plain,( 46.47/46.66 ! [X2 : set1,X1 : $int,X0 : $int] : (? [X3 : map_int_int] : ($less(X1,sum(X3,X0,n)) & ~sP6(X2,X3,X0) & solution(X3,X0)) => ($less(X1,sum(sK21(X0,X1,X2),X0,n)) & ~sP6(X2,sK21(X0,X1,X2),X0) & solution(sK21(X0,X1,X2),X0)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f330,plain,( 46.47/46.66 ! [X0 : $int,X1 : $int,X2 : set1] : ((sP7(X0,X1,X2) | ($less(X1,sum(sK21(X0,X1,X2),X0,n)) & ~sP6(X2,sK21(X0,X1,X2),X0) & solution(sK21(X0,X1,X2),X0))) & (! [X4 : map_int_int] : (~$less(X1,sum(X4,X0,n)) | sP6(X2,X4,X0) | ~solution(X4,X0)) | ~sP7(X0,X1,X2)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f328,f329])). 46.47/46.66 tff(f331,plain,( 46.47/46.66 ! [X1 : set1,X5 : map_int_int,X0 : $int] : ((sP6(X1,X5,X0) | ! [X6 : $int] : (mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) | ~$less(X6,n) | $less(X6,X0))) & (? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~sP6(X1,X5,X0)))), 46.47/46.66 inference(nnf_transformation,[],[f282])). 46.47/46.66 tff(f332,plain,( 46.47/46.66 ! [X0 : set1,X1 : map_int_int,X2 : $int] : ((sP6(X0,X1,X2) | ! [X3 : $int] : (mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X3))),X0) | ~$less(X3,n) | $less(X3,X2))) & (? [X4 : $int] : (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X0) & $less(X4,n) & ~$less(X4,X2)) | ~sP6(X0,X1,X2)))), 46.47/46.66 inference(rectify,[],[f331])). 46.47/46.66 tff(f333,plain,( 46.47/46.66 ! [X2 : $int,X1 : map_int_int,X0 : set1] : (? [X4 : $int] : (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X0) & $less(X4,n) & ~$less(X4,X2)) => (~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(sK22(X0,X1,X2)))),X0) & $less(sK22(X0,X1,X2),n) & ~$less(sK22(X0,X1,X2),X2)))), 46.47/46.66 introduced(choice_axiom,[])). 46.47/46.66 tff(f334,plain,( 46.47/46.66 ! [X0 : set1,X1 : map_int_int,X2 : $int] : ((sP6(X0,X1,X2) | ! [X3 : $int] : (mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X3))),X0) | ~$less(X3,n) | $less(X3,X2))) & ((~mem(tb2t2(get(int,int,t2tb(X1),t2tb2(sK22(X0,X1,X2)))),X0) & $less(sK22(X0,X1,X2),n) & ~$less(sK22(X0,X1,X2),X2)) | ~sP6(X0,X1,X2)))), 46.47/46.66 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f332,f333])). 46.47/46.66 tff(f335,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & sP8(X1,X3,X0) & sP7(X0,X2,X1) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | ($less(X2,0) | ~sP8(X1,X3,X0) | ~sP7(X0,X2,X1) | sum(X3,X0,n) != X2 | ~solution(X3,X0))))), 46.47/46.66 inference(nnf_transformation,[],[f285])). 46.47/46.66 tff(f336,plain,( 46.47/46.66 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & sP8(X1,X3,X0) & sP7(X0,X2,X1) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~sP8(X1,X3,X0) | ~sP7(X0,X2,X1) | sum(X3,X0,n) != X2 | ~solution(X3,X0)))), 46.47/46.66 inference(flattening,[],[f335])). 46.47/46.66 tff(f338,plain,( 46.47/46.66 inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11))))), 46.47/46.66 inference(cnf_transformation,[],[f287])). 46.47/46.66 tff(f339,plain,( 46.47/46.66 pre(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))))), 46.47/46.66 inference(cnf_transformation,[],[f287])). 46.47/46.66 tff(f340,plain,( 46.47/46.66 n = sK9), 46.47/46.66 inference(cnf_transformation,[],[f287])). 46.47/46.66 tff(f341,plain,( 46.47/46.66 ~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 46.47/46.66 inference(cnf_transformation,[],[f287])). 46.47/46.66 tff(f342,plain,( 46.47/46.66 true != false), 46.47/46.66 inference(cnf_transformation,[],[f57])). 46.47/46.66 tff(f343,plain,( 46.47/46.66 ~$less(n,0)), 46.47/46.66 inference(cnf_transformation,[],[f99])). 46.47/46.66 tff(f344,plain,( 46.47/46.66 ~$less(size,n)), 46.47/46.66 inference(cnf_transformation,[],[f100])). 46.47/46.66 tff(f348,plain,( 46.47/46.66 ( ! [X0:set1] : (sort(set2,t2tb4(X0))) )), 46.47/46.66 inference(cnf_transformation,[],[f1])). 46.47/46.66 tff(f349,plain,( 46.47/46.66 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 46.47/46.66 inference(cnf_transformation,[],[f141])). 46.47/46.66 tff(f352,plain,( 46.47/46.66 ( ! [X0:$int] : (tb2t2(t2tb2(X0)) = X0) )), 46.47/46.66 inference(cnf_transformation,[],[f144])). 46.47/46.66 tff(f356,plain,( 46.47/46.66 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 46.47/46.66 inference(cnf_transformation,[],[f148])). 46.47/46.66 tff(f375,plain,( 46.47/46.66 ( ! [X2:map_int_int,X0:$int,X1:$int] : (sum(tb2t(set(int,int,t2tb(X2),t2tb2(X0),t2tb2(X1))),X0,n) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),sum(X2,$sum(X0,1),n)) | ~$less(X0,n)) )), 46.47/46.66 inference(cnf_transformation,[],[f223])). 46.47/46.66 tff(f376,plain,( 46.47/46.66 ( ! [X0:uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0)) )), 46.47/46.66 inference(cnf_transformation,[],[f224])). 46.47/46.66 tff(f380,plain,( 46.47/46.66 ( ! [X0:set1,X1:$int] : (cardinal(X0) != 0 | ~mem(X1,X0)) )), 46.47/46.66 inference(cnf_transformation,[],[f291])). 46.47/46.66 tff(f390,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f171])). 46.47/46.66 tff(f391,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X0)) )), 46.47/46.66 inference(cnf_transformation,[],[f171])). 46.47/46.66 tff(f395,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | max(X0,X1) = X0) )), 46.47/46.66 inference(cnf_transformation,[],[f174])). 46.47/46.66 tff(f397,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f229])). 46.47/46.66 tff(f412,plain,( 46.47/46.66 ( ! [X0:$int,X1:$int] : (~$less(X1,X0) | sP0(X0,X1) | $less(X1,0)) )), 46.47/46.66 inference(cnf_transformation,[],[f300])). 46.47/46.66 tff(f415,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (~$less(sK15(X0,X1),X1) | sP3(X0,X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f304])). 46.47/46.66 tff(f416,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (sP3(X0,X1) | $less(sK16(X0,X1),n)) )), 46.47/46.66 inference(cnf_transformation,[],[f304])). 46.47/46.66 tff(f417,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : ($less(sK15(X0,X1),sK16(X0,X1)) | sP3(X0,X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f304])). 46.47/46.66 tff(f421,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (sP2(X0,X1) | $less(sK17(X0,X1),n)) )), 46.47/46.66 inference(cnf_transformation,[],[f308])). 46.47/46.66 tff(f422,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (~$less(sK17(X0,X1),X1) | sP2(X0,X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f308])). 46.47/46.66 tff(f426,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (~sP3(X0,X1) | solution(X0,X1) | ~sP2(X0,X1)) )), 46.47/46.66 inference(cnf_transformation,[],[f310])). 46.47/46.66 tff(f429,plain,( 46.47/46.66 ( ! [X0:set1] : (mem(sK18(X0),X0) | sP4(X0)) )), 46.47/46.66 inference(cnf_transformation,[],[f314])). 46.47/46.66 tff(f432,plain,( 46.47/46.66 ( ! [X0:$int,X1:set1] : (~$less(n,X0) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 46.47/46.66 inference(cnf_transformation,[],[f316])). 46.47/46.66 tff(f433,plain,( 46.47/46.66 ( ! [X0:$int,X1:set1] : (cardinal(X1) = $sum(n,$uminus(X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 46.47/46.66 inference(cnf_transformation,[],[f316])). 46.47/46.66 tff(f443,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X1:$int] : (sum(X0,X1,X2) = 0 | $less(X1,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f249])). 46.47/46.66 tff(f463,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (~$less(sK19(X0,X1,X2,X3),X3) | ~sP5(X0,X1,X2,X3)) )), 46.47/46.66 inference(cnf_transformation,[],[f322])). 46.47/46.66 tff(f464,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : ($less(sK19(X0,X1,X2,X3),X2) | ~sP5(X0,X1,X2,X3)) )), 46.47/46.66 inference(cnf_transformation,[],[f322])). 46.47/46.66 tff(f466,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | sP5(X1,X0,X3,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f281])). 46.47/46.66 tff(f468,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : (~$less(sK20(X0,X1,X2),X2) | sP8(X0,X1,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f326])). 46.47/46.66 tff(f469,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : (sP8(X0,X1,X2) | $less(sK20(X0,X1,X2),n)) )), 46.47/46.66 inference(cnf_transformation,[],[f326])). 46.47/46.66 tff(f471,plain,( 46.47/46.66 ( ! [X4:map_int_int,X2:set1,X0:$int,X1:$int] : (~$less(X1,sum(X4,X0,n)) | sP6(X2,X4,X0) | ~solution(X4,X0) | ~sP7(X0,X1,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f330])). 46.47/46.66 tff(f474,plain,( 46.47/46.66 ( ! [X2:set1,X0:$int,X1:$int] : (sP7(X0,X1,X2) | $less(X1,sum(sK21(X0,X1,X2),X0,n))) )), 46.47/46.66 inference(cnf_transformation,[],[f330])). 46.47/46.66 tff(f475,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : (~$less(sK22(X0,X1,X2),X2) | ~sP6(X0,X1,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f334])). 46.47/46.66 tff(f476,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : ($less(sK22(X0,X1,X2),n) | ~sP6(X0,X1,X2)) )), 46.47/46.66 inference(cnf_transformation,[],[f334])). 46.47/46.66 tff(f479,plain,( 46.47/46.66 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~sP8(X1,X3,X0) | ~sP7(X0,X2,X1) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 46.47/46.66 inference(cnf_transformation,[],[f336])). 46.47/46.66 tff(f490,plain,( 46.47/46.66 ~$less(sK9,0)), 46.47/46.66 inference(definition_unfolding,[],[f343,f340])). 46.47/46.66 tff(f491,plain,( 46.47/46.66 ~$less(size,sK9)), 46.47/46.66 inference(definition_unfolding,[],[f344,f340])). 46.47/46.66 tff(f492,plain,( 46.47/46.66 ( ! [X2:map_int_int,X0:$int,X1:$int] : (sum(tb2t(set(int,int,t2tb(X2),t2tb2(X0),t2tb2(X1))),X0,sK9) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),sum(X2,$sum(X0,1),sK9)) | ~$less(X0,sK9)) )), 46.47/46.66 inference(definition_unfolding,[],[f375,f340,f340,f340])). 46.47/46.66 tff(f496,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : ($less(sK16(X0,X1),sK9) | sP3(X0,X1)) )), 46.47/46.66 inference(definition_unfolding,[],[f416,f340])). 46.47/46.66 tff(f499,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : ($less(sK17(X0,X1),sK9) | sP2(X0,X1)) )), 46.47/46.66 inference(definition_unfolding,[],[f421,f340])). 46.47/46.66 tff(f504,plain,( 46.47/46.66 ( ! [X0:$int,X1:set1] : (~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | cardinal(X1) = $sum(sK9,$uminus(X0))) )), 46.47/46.66 inference(definition_unfolding,[],[f433,f340])). 46.47/46.66 tff(f505,plain,( 46.47/46.66 ( ! [X0:$int,X1:set1] : (~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | ~$less(sK9,X0)) )), 46.47/46.66 inference(definition_unfolding,[],[f432,f340])). 46.47/46.66 tff(f511,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : ($less(sK20(X0,X1,X2),sK9) | sP8(X0,X1,X2)) )), 46.47/46.66 inference(definition_unfolding,[],[f469,f340])). 46.47/46.66 tff(f513,plain,( 46.47/46.66 ( ! [X2:set1,X0:$int,X1:$int] : ($less(X1,sum(sK21(X0,X1,X2),X0,sK9)) | sP7(X0,X1,X2)) )), 46.47/46.66 inference(definition_unfolding,[],[f474,f340])). 46.47/46.66 tff(f514,plain,( 46.47/46.66 ( ! [X4:map_int_int,X2:set1,X0:$int,X1:$int] : (~$less(X1,sum(X4,X0,sK9)) | sP6(X2,X4,X0) | ~solution(X4,X0) | ~sP7(X0,X1,X2)) )), 46.47/46.66 inference(definition_unfolding,[],[f471,f340])). 46.47/46.66 tff(f516,plain,( 46.47/46.66 ( ! [X2:$int,X0:set1,X1:map_int_int] : ($less(sK22(X0,X1,X2),sK9) | ~sP6(X0,X1,X2)) )), 46.47/46.66 inference(definition_unfolding,[],[f476,f340])). 46.47/46.66 tff(f518,plain,( 46.47/46.66 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~sP8(X1,X3,X0) | ~sP7(X0,X2,X1) | sum(X3,X0,sK9) != X2 | ~solution(X3,X0)) )), 46.47/46.66 inference(definition_unfolding,[],[f479,f340])). 46.47/46.66 tff(f521,plain,( 46.47/46.66 ( ! [X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,sK9)),t2tb(X3)))) | $less(sum(X3,X0,sK9),0) | ~sP8(X1,X3,X0) | ~sP7(X0,sum(X3,X0,sK9),X1) | ~solution(X3,X0)) )), 46.47/46.66 inference(equality_resolution,[],[f518])). 46.47/46.66 tff(f529,plain,( 46.47/46.66 spl23_1 <=> ~post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_1])])). 46.47/46.66 tff(f530,plain,( 46.47/46.66 ~post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | ~spl23_1), 46.47/46.66 inference(AVATAR_component_clause,[],[f529])). 46.47/46.66 tff(f532,plain,( 46.47/46.66 spl23_2 <=> inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_2])])). 46.47/46.66 tff(f535,plain,( 46.47/46.66 spl23_3 <=> ~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK11))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_3])])). 46.47/46.66 tff(f537,plain,( 46.47/46.66 ~spl23_1 | ~spl23_3), 46.47/46.66 inference(AVATAR_split_clause,[],[f341,f535,f529])). 46.47/46.66 tff(f542,plain,( 46.47/46.66 spl23_4 <=> pre(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_4])])). 46.47/46.66 tff(f543,plain,( 46.47/46.66 pre(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(sK10)))) | ~spl23_4), 46.47/46.66 inference(AVATAR_component_clause,[],[f542])). 46.47/46.66 tff(f544,plain,( 46.47/46.66 spl23_4), 46.47/46.66 inference(AVATAR_split_clause,[],[f339,f542])). 46.47/46.66 tff(f545,plain,( 46.47/46.66 spl23_2), 46.47/46.66 inference(AVATAR_split_clause,[],[f338,f532])). 46.47/46.66 tff(f550,plain,( 46.47/46.66 spl23_7 <=> true != false), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_7])])). 46.47/46.66 tff(f552,plain,( 46.47/46.66 ~spl23_7), 46.47/46.66 inference(AVATAR_split_clause,[],[f342,f550])). 46.47/46.66 tff(f557,plain,( 46.47/46.66 spl23_9 <=> ~$less(sK9,0)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_9])])). 46.47/46.66 tff(f558,plain,( 46.47/46.66 ~$less(sK9,0) | ~spl23_9), 46.47/46.66 inference(AVATAR_component_clause,[],[f557])). 46.47/46.66 tff(f559,plain,( 46.47/46.66 ~spl23_9), 46.47/46.66 inference(AVATAR_split_clause,[],[f490,f557])). 46.47/46.66 tff(f564,plain,( 46.47/46.66 spl23_11 <=> ~$less(size,sK9)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_11])])). 46.47/46.66 tff(f565,plain,( 46.47/46.66 ~$less(size,sK9) | ~spl23_11), 46.47/46.66 inference(AVATAR_component_clause,[],[f564])). 46.47/46.66 tff(f566,plain,( 46.47/46.66 ~spl23_11), 46.47/46.66 inference(AVATAR_split_clause,[],[f491,f564])). 46.47/46.66 tff(f571,plain,( 46.47/46.66 cardinal(sK10) = $sum(sK9,$uminus(sK9)) | ~spl23_4), 46.47/46.66 inference(resolution,[],[f504,f543])). 46.47/46.66 tff(f572,plain,( 46.47/46.66 cardinal(sK10) = 0 | ~spl23_4), 46.47/46.66 inference(forward_demodulation,[],[f571,f124])). 46.47/46.66 tff(f577,plain,( 46.47/46.66 spl23_12 <=> cardinal(sK10) = 0), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_12])])). 46.47/46.66 tff(f578,plain,( 46.47/46.66 cardinal(sK10) = 0 | ~spl23_12), 46.47/46.66 inference(AVATAR_component_clause,[],[f577])). 46.47/46.66 tff(f579,plain,( 46.47/46.66 spl23_12 | ~spl23_4), 46.47/46.66 inference(AVATAR_split_clause,[],[f572,f542,f577])). 46.47/46.66 tff(f592,plain,( 46.47/46.66 ( ! [X10:uni,X11:set1] : (~pre(tb2t3(tuple21(int,set2,X10,t2tb4(X11)))) | ~$less(sK9,tb2t2(X10))) )), 46.47/46.66 inference(superposition,[],[f505,f356])). 46.47/46.66 tff(f609,plain,( 46.47/46.66 ( ! [X0:$int] : ($sum($uminus(X0),X0) = 0) )), 46.47/46.66 inference(superposition,[],[f124,f130])). 46.47/46.66 tff(f675,plain,( 46.47/46.66 ( ! [X0:$int] : (0 != 0 | ~mem(X0,sK10)) ) | ~spl23_12), 46.47/46.66 inference(superposition,[],[f380,f578])). 46.47/46.66 tff(f676,plain,( 46.47/46.66 ( ! [X0:$int] : (~mem(X0,sK10)) ) | ~spl23_12), 46.47/46.66 inference(trivial_inequality_removal,[],[f675])). 46.47/46.66 tff(f681,plain,( 46.47/46.66 sP4(sK10) | ~spl23_12), 46.47/46.66 inference(resolution,[],[f676,f429])). 46.47/46.66 tff(f686,plain,( 46.47/46.66 spl23_14 <=> sP4(sK10)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_14])])). 46.47/46.66 tff(f688,plain,( 46.47/46.66 spl23_14 | ~spl23_12), 46.47/46.66 inference(AVATAR_split_clause,[],[f681,f577,f686])). 46.47/46.66 tff(f715,plain,( 46.47/46.66 ( ! [X4:uni,X5:$int] : (~pre(tb2t3(tuple21(int,set2,t2tb2(X5),X4))) | ~$less(sK9,X5) | ~sort(set2,X4)) )), 46.47/46.66 inference(superposition,[],[f505,f376])). 46.47/46.66 tff(f718,plain,( 46.47/46.66 ( ! [X12:uni,X13:uni] : (~pre(tb2t3(tuple21(int,set2,X13,X12))) | ~$less(sK9,tb2t2(X13)) | ~sort(set2,X12)) )), 46.47/46.66 inference(superposition,[],[f592,f376])). 46.47/46.66 tff(f750,plain,( 46.47/46.66 ( ! [X4:map_int_int] : (sP2(X4,sK9) | sP2(X4,sK9)) )), 46.47/46.66 inference(resolution,[],[f422,f499])). 46.47/46.66 tff(f751,plain,( 46.47/46.66 ( ! [X4:map_int_int] : (sP2(X4,sK9)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f750])). 46.47/46.66 tff(f787,plain,( 46.47/46.66 ( ! [X30:map_int_int,X31:$int,X29:$int] : (~$less(X29,sK16(X30,X31)) | $less(X29,sK9) | sP3(X30,X31)) )), 46.47/46.66 inference(resolution,[],[f126,f496])). 46.47/46.66 tff(f796,plain,( 46.47/46.66 ( ! [X10:$int,X8:map_int_int,X11:set1,X9:$int] : ($less(sum(X8,X9,sK9),X10) | sum(X8,X9,sK9) = X10 | sP6(X11,X8,X9) | ~solution(X8,X9) | ~sP7(X9,X10,X11)) )), 46.47/46.66 inference(resolution,[],[f127,f514])). 46.47/46.66 tff(f802,plain,( 46.47/46.66 $less(sK9,size) | size = sK9 | ~spl23_11), 46.47/46.66 inference(resolution,[],[f127,f565])). 46.47/46.66 tff(f810,plain,( 46.47/46.66 $less(0,sK9) | 0 = sK9 | ~spl23_9), 46.47/46.66 inference(resolution,[],[f127,f558])). 46.47/46.66 tff(f817,plain,( 46.47/46.66 spl23_17 <=> size != sK9), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_17])])). 46.47/46.66 tff(f818,plain,( 46.47/46.66 size != sK9 | ~spl23_17), 46.47/46.66 inference(AVATAR_component_clause,[],[f817])). 46.47/46.66 tff(f820,plain,( 46.47/46.66 spl23_16 <=> size = sK9), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_16])])). 46.47/46.66 tff(f821,plain,( 46.47/46.66 size = sK9 | ~spl23_16), 46.47/46.66 inference(AVATAR_component_clause,[],[f820])). 46.47/46.66 tff(f826,plain,( 46.47/46.66 spl23_18 <=> $less(sK9,size)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_18])])). 46.47/46.66 tff(f827,plain,( 46.47/46.66 $less(sK9,size) | ~spl23_18), 46.47/46.66 inference(AVATAR_component_clause,[],[f826])). 46.47/46.66 tff(f828,plain,( 46.47/46.66 spl23_16 | spl23_18 | spl23_11), 46.47/46.66 inference(AVATAR_split_clause,[],[f802,f564,f826,f820])). 46.47/46.66 tff(f833,plain,( 46.47/46.66 spl23_20 <=> 0 = sK9), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_20])])). 46.47/46.66 tff(f834,plain,( 46.47/46.66 0 = sK9 | ~spl23_20), 46.47/46.66 inference(AVATAR_component_clause,[],[f833])). 46.47/46.66 tff(f839,plain,( 46.47/46.66 spl23_22 <=> $less(0,sK9)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_22])])). 46.47/46.66 tff(f840,plain,( 46.47/46.66 $less(0,sK9) | ~spl23_22), 46.47/46.66 inference(AVATAR_component_clause,[],[f839])). 46.47/46.66 tff(f841,plain,( 46.47/46.66 spl23_20 | spl23_22 | spl23_9), 46.47/46.66 inference(AVATAR_split_clause,[],[f810,f557,f839,f833])). 46.47/46.66 tff(f852,plain,( 46.47/46.66 ~post(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | (~spl23_1 | ~spl23_16)), 46.47/46.66 inference(superposition,[],[f530,f821])). 46.47/46.66 tff(f853,plain,( 46.47/46.66 pre(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(sK10)))) | (~spl23_4 | ~spl23_16)), 46.47/46.66 inference(superposition,[],[f543,f821])). 46.47/46.66 tff(f854,plain,( 46.47/46.66 ~$less(size,0) | (~spl23_9 | ~spl23_16)), 46.47/46.66 inference(superposition,[],[f558,f821])). 46.47/46.66 tff(f868,plain,( 46.47/46.66 spl23_25 <=> ~post(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_25])])). 46.47/46.66 tff(f870,plain,( 46.47/46.66 ~spl23_25 | spl23_1 | ~spl23_16), 46.47/46.66 inference(AVATAR_split_clause,[],[f852,f820,f529,f868])). 46.47/46.66 tff(f875,plain,( 46.47/46.66 spl23_26 <=> pre(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(sK10))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_26])])). 46.47/46.66 tff(f876,plain,( 46.47/46.66 pre(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(sK10)))) | ~spl23_26), 46.47/46.66 inference(AVATAR_component_clause,[],[f875])). 46.47/46.66 tff(f877,plain,( 46.47/46.66 spl23_26 | ~spl23_4 | ~spl23_16), 46.47/46.66 inference(AVATAR_split_clause,[],[f853,f820,f542,f875])). 46.47/46.66 tff(f882,plain,( 46.47/46.66 spl23_29 <=> ~$less(size,0)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_29])])). 46.47/46.66 tff(f883,plain,( 46.47/46.66 ~$less(size,0) | ~spl23_29), 46.47/46.66 inference(AVATAR_component_clause,[],[f882])). 46.47/46.66 tff(f884,plain,( 46.47/46.66 ~spl23_29 | spl23_9 | ~spl23_16), 46.47/46.66 inference(AVATAR_split_clause,[],[f854,f820,f557,f882])). 46.47/46.66 tff(f906,plain,( 46.47/46.66 sP0(size,sK9) | $less(sK9,0) | ~spl23_18), 46.47/46.66 inference(resolution,[],[f827,f412])). 46.47/46.66 tff(f908,plain,( 46.47/46.66 sP0(size,sK9) | (~spl23_9 | ~spl23_18)), 46.47/46.66 inference(subsumption_resolution,[],[f906,f558])). 46.47/46.66 tff(f913,plain,( 46.47/46.66 spl23_30 <=> sP0(size,sK9)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_30])])). 46.47/46.66 tff(f915,plain,( 46.47/46.66 spl23_30 | spl23_9 | ~spl23_18), 46.47/46.66 inference(AVATAR_split_clause,[],[f908,f826,f557,f913])). 46.47/46.66 tff(f944,plain,( 46.47/46.66 ( ! [X6:set1,X4:$int,X5:$int,X3:map_int_int] : (~sP7(X4,X5,X6) | sP6(X6,X3,X4) | ~solution(X3,X4) | ~$less(X5,0) | $less(X4,sK9)) )), 46.47/46.66 inference(superposition,[],[f514,f443])). 46.47/46.66 tff(f947,plain,( 46.47/46.66 sP0(sK9,0) | $less(0,0) | ~spl23_22), 46.47/46.66 inference(resolution,[],[f840,f412])). 46.47/46.66 tff(f949,plain,( 46.47/46.66 $less(0,size) | (~spl23_16 | ~spl23_22)), 46.47/46.66 inference(superposition,[],[f840,f821])). 46.47/46.66 tff(f950,plain,( 46.47/46.66 sP0(sK9,0) | ~spl23_22), 46.47/46.66 inference(evaluation,[],[f947])). 46.47/46.66 tff(f951,plain,( 46.47/46.66 sP0(size,0) | (~spl23_16 | ~spl23_22)), 46.47/46.66 inference(forward_demodulation,[],[f950,f821])). 46.47/46.66 tff(f956,plain,( 46.47/46.66 spl23_32 <=> sP0(size,0)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_32])])). 46.47/46.66 tff(f958,plain,( 46.47/46.66 spl23_32 | ~spl23_16 | ~spl23_22), 46.47/46.66 inference(AVATAR_split_clause,[],[f951,f839,f820,f956])). 46.47/46.66 tff(f964,plain,( 46.47/46.66 spl23_34 <=> $less(0,size)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_34])])). 46.47/46.66 tff(f965,plain,( 46.47/46.66 $less(0,size) | ~spl23_34), 46.47/46.66 inference(AVATAR_component_clause,[],[f964])). 46.47/46.66 tff(f966,plain,( 46.47/46.66 spl23_34 | ~spl23_16 | ~spl23_22), 46.47/46.66 inference(AVATAR_split_clause,[],[f949,f839,f820,f964])). 46.47/46.66 tff(f971,plain,( 46.47/46.66 spl23_36 <=> sP0(sK9,0)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_36])])). 46.47/46.66 tff(f973,plain,( 46.47/46.66 spl23_36 | ~spl23_22), 46.47/46.66 inference(AVATAR_split_clause,[],[f950,f839,f971])). 46.47/46.66 tff(f1019,plain,( 46.47/46.66 ( ! [X0:$int] : (~$less(X0,sK9) | $less(X0,size)) ) | ~spl23_18), 46.47/46.66 inference(resolution,[],[f827,f126])). 46.47/46.66 tff(f1058,plain,( 46.47/46.66 ~post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | (~spl23_1 | ~spl23_20)), 46.47/46.66 inference(superposition,[],[f530,f834])). 46.47/46.66 tff(f1059,plain,( 46.47/46.66 pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(sK10)))) | (~spl23_4 | ~spl23_20)), 46.47/46.66 inference(superposition,[],[f543,f834])). 46.47/46.66 tff(f1068,plain,( 46.47/46.66 size != 0 | (~spl23_17 | ~spl23_20)), 46.47/46.66 inference(superposition,[],[f818,f834])). 46.47/46.66 tff(f1069,plain,( 46.47/46.66 $less(0,size) | (~spl23_18 | ~spl23_20)), 46.47/46.66 inference(superposition,[],[f827,f834])). 46.47/46.66 tff(f1080,plain,( 46.47/46.66 spl23_39 <=> ~post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(sK10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_39])])). 46.47/46.66 tff(f1082,plain,( 46.47/46.66 ~spl23_39 | spl23_1 | ~spl23_20), 46.47/46.66 inference(AVATAR_split_clause,[],[f1058,f833,f529,f1080])). 46.47/46.66 tff(f1087,plain,( 46.47/46.66 spl23_40 <=> pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(sK10))))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_40])])). 46.47/46.66 tff(f1089,plain,( 46.47/46.66 spl23_40 | ~spl23_4 | ~spl23_20), 46.47/46.66 inference(AVATAR_split_clause,[],[f1059,f833,f542,f1087])). 46.47/46.66 tff(f1100,plain,( 46.47/46.66 spl23_42 <=> size = 0), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_42])])). 46.47/46.66 tff(f1103,plain,( 46.47/46.66 spl23_43 <=> size != 0), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_43])])). 46.47/46.66 tff(f1105,plain,( 46.47/46.66 ~spl23_43 | spl23_17 | ~spl23_20), 46.47/46.66 inference(AVATAR_split_clause,[],[f1068,f833,f817,f1103])). 46.47/46.66 tff(f1106,plain,( 46.47/46.66 spl23_34 | ~spl23_18 | ~spl23_20), 46.47/46.66 inference(AVATAR_split_clause,[],[f1069,f833,f826,f964])). 46.47/46.66 tff(f1148,plain,( 46.47/46.66 ( ! [X0:$int] : (~$less(X0,0) | $less(X0,sK9)) ) | ~spl23_22), 46.47/46.66 inference(resolution,[],[f840,f126])). 46.47/46.66 tff(f1173,plain,( 46.47/46.66 $less(0,size) | size = 0 | ~spl23_29), 46.47/46.66 inference(resolution,[],[f883,f127])). 46.47/46.66 tff(f1174,plain,( 46.47/46.66 spl23_42 | spl23_34 | spl23_29), 46.47/46.66 inference(AVATAR_split_clause,[],[f1173,f882,f964,f1100])). 46.47/46.66 tff(f1180,plain,( 46.47/46.66 sP0(size,0) | $less(0,0) | ~spl23_34), 46.47/46.66 inference(resolution,[],[f965,f412])). 46.47/46.66 tff(f1181,plain,( 46.47/46.66 ( ! [X0:$int] : (~$less(X0,0) | $less(X0,size)) ) | ~spl23_34), 46.47/46.66 inference(resolution,[],[f965,f126])). 46.47/46.66 tff(f1182,plain,( 46.47/46.66 sP0(size,0) | ~spl23_34), 46.47/46.66 inference(evaluation,[],[f1180])). 46.47/46.66 tff(f1183,plain,( 46.47/46.66 spl23_32 | ~spl23_34), 46.47/46.66 inference(AVATAR_split_clause,[],[f1182,f964,f956])). 46.47/46.66 tff(f1194,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : (sP3(X0,X1) | $less(sK15(X0,X1),sK9) | sP3(X0,X1)) )), 46.47/46.66 inference(resolution,[],[f417,f787])). 46.47/46.66 tff(f1197,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:$int] : ($less(sK15(X0,X1),sK9) | sP3(X0,X1)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f1194])). 46.47/46.66 tff(f1212,plain,( 46.47/46.66 ( ! [X23:$int] : ($less(sK9,X23) | $less(X23,size) | sK9 = X23) ) | ~spl23_18), 46.47/46.66 inference(resolution,[],[f1019,f127])). 46.47/46.66 tff(f1217,plain,( 46.47/46.66 ( ! [X6:set1,X7:map_int_int] : (sP8(X6,X7,sK9) | sP8(X6,X7,sK9)) )), 46.47/46.66 inference(resolution,[],[f468,f511])). 46.47/46.66 tff(f1218,plain,( 46.47/46.66 ( ! [X6:set1,X7:map_int_int] : (sP8(X6,X7,sK9)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f1217])). 46.47/46.66 tff(f1224,plain,( 46.47/46.66 ( ! [X0:$int] : ($less(0,X0) | $less(X0,sK9) | 0 = X0) ) | ~spl23_22), 46.47/46.66 inference(resolution,[],[f1148,f127])). 46.47/46.66 tff(f1228,plain,( 46.47/46.66 ( ! [X6:set1,X7:map_int_int] : (~sP6(X6,X7,sK9) | ~sP6(X6,X7,sK9)) )), 46.47/46.66 inference(resolution,[],[f475,f516])). 46.47/46.66 tff(f1229,plain,( 46.47/46.66 ( ! [X6:set1,X7:map_int_int] : (~sP6(X6,X7,sK9)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f1228])). 46.47/46.66 tff(f1235,plain,( 46.47/46.66 ( ! [X0:$int] : ($less(0,X0) | $less(X0,size) | 0 = X0) ) | ~spl23_34), 46.47/46.66 inference(resolution,[],[f1181,f127])). 46.47/46.66 tff(f1241,plain,( 46.47/46.66 ( ! [X2:set1,X0:uni,X1:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(tb2t(X0),X1,sK9)),X0))) | $less(sum(tb2t(X0),X1,sK9),0) | ~sP8(X2,tb2t(X0),X1) | ~sP7(X1,sum(tb2t(X0),X1,sK9),X2) | ~solution(tb2t(X0),X1)) )), 46.47/46.66 inference(superposition,[],[f521,f349])). 46.47/46.66 tff(f1271,plain,( 46.47/46.66 ( ! [X0:map_int_int] : (sP3(X0,sK9) | sP3(X0,sK9)) )), 46.47/46.66 inference(resolution,[],[f1197,f415])). 46.47/46.66 tff(f1275,plain,( 46.47/46.66 ( ! [X0:map_int_int] : (sP3(X0,sK9)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f1271])). 46.47/46.66 tff(f1297,plain,( 46.47/46.66 ( ! [X0:map_int_int] : (solution(X0,sK9) | ~sP2(X0,sK9)) )), 46.47/46.66 inference(resolution,[],[f1275,f426])). 46.47/46.66 tff(f1298,plain,( 46.47/46.66 ( ! [X0:map_int_int] : (solution(X0,sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f1297,f751])). 46.47/46.66 tff(f1339,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (~sP5(X0,X1,X2,X2) | ~sP5(X0,X1,X2,X2)) )), 46.47/46.66 inference(resolution,[],[f464,f463])). 46.47/46.66 tff(f1349,plain,( 46.47/46.66 ( ! [X2:$int,X0:map_int_int,X1:map_int_int] : (~sP5(X0,X1,X2,X2)) )), 46.47/46.66 inference(duplicate_literal_removal,[],[f1339])). 46.47/46.66 tff(f1352,plain,( 46.47/46.66 cardinal(sK10) = $sum(sK9,$uminus(size)) | ~spl23_26), 46.47/46.66 inference(resolution,[],[f876,f504])). 46.47/46.66 tff(f1353,plain,( 46.47/46.66 ~$less(sK9,size) | ~spl23_26), 46.47/46.66 inference(resolution,[],[f876,f505])). 46.47/46.66 tff(f1355,plain,( 46.47/46.66 ~$less(sK9,tb2t2(t2tb2(size))) | ~spl23_26), 46.47/46.66 inference(resolution,[],[f876,f592])). 46.47/46.66 tff(f1357,plain,( 46.47/46.66 ~$less(sK9,size) | ~sort(set2,t2tb4(sK10)) | ~spl23_26), 46.47/46.66 inference(resolution,[],[f876,f715])). 46.47/46.66 tff(f1358,plain,( 46.47/46.66 ~$less(sK9,tb2t2(t2tb2(size))) | ~sort(set2,t2tb4(sK10)) | ~spl23_26), 46.47/46.66 inference(resolution,[],[f876,f718])). 46.47/46.66 tff(f1359,plain,( 46.47/46.66 $sum(sK9,$uminus(size)) = 0 | (~spl23_12 | ~spl23_26)), 46.47/46.66 inference(forward_demodulation,[],[f1352,f578])). 46.47/46.66 tff(f1364,plain,( 46.47/46.66 spl23_44 <=> $sum(sK9,$uminus(size)) = 0), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_44])])). 46.47/46.66 tff(f1366,plain,( 46.47/46.66 spl23_44 | ~spl23_12 | ~spl23_26), 46.47/46.66 inference(AVATAR_split_clause,[],[f1359,f875,f577,f1364])). 46.47/46.66 tff(f1367,plain,( 46.47/46.66 $false | (~spl23_18 | ~spl23_26)), 46.47/46.66 inference(subsumption_resolution,[],[f1353,f827])). 46.47/46.66 tff(f1368,plain,( 46.47/46.66 ~spl23_18 | ~spl23_26), 46.47/46.66 inference(AVATAR_contradiction_clause,[],[f1367,f875,f826])). 46.47/46.66 tff(f1371,plain,( 46.47/46.66 ~$less(sK9,size) | ~spl23_26), 46.47/46.66 inference(forward_demodulation,[],[f1355,f352])). 46.47/46.66 tff(f1372,plain,( 46.47/46.66 $false | (~spl23_18 | ~spl23_26)), 46.47/46.66 inference(subsumption_resolution,[],[f1371,f827])). 46.47/46.66 tff(f1373,plain,( 46.47/46.66 ~spl23_18 | ~spl23_26), 46.47/46.66 inference(AVATAR_contradiction_clause,[],[f1372,f875,f826])). 46.47/46.66 tff(f1377,plain,( 46.47/46.66 ~sort(set2,t2tb4(sK10)) | (~spl23_18 | ~spl23_26)), 46.47/46.66 inference(subsumption_resolution,[],[f1357,f827])). 46.47/46.66 tff(f1378,plain,( 46.47/46.66 $false | (~spl23_18 | ~spl23_26)), 46.47/46.66 inference(subsumption_resolution,[],[f1377,f348])). 46.47/46.66 tff(f1379,plain,( 46.47/46.66 ~spl23_18 | ~spl23_26), 46.47/46.66 inference(AVATAR_contradiction_clause,[],[f1378,f875,f826])). 46.47/46.66 tff(f1380,plain,( 46.47/46.66 ~$less(sK9,tb2t2(t2tb2(size))) | ~spl23_26), 46.47/46.66 inference(subsumption_resolution,[],[f1358,f348])). 46.47/46.66 tff(f1381,plain,( 46.47/46.66 ~$less(sK9,size) | ~spl23_26), 46.47/46.66 inference(forward_demodulation,[],[f1380,f352])). 46.47/46.66 tff(f1382,plain,( 46.47/46.66 $false | (~spl23_18 | ~spl23_26)), 46.47/46.66 inference(subsumption_resolution,[],[f1381,f827])). 46.47/46.66 tff(f1383,plain,( 46.47/46.66 ~spl23_18 | ~spl23_26), 46.47/46.66 inference(AVATAR_contradiction_clause,[],[f1382,f875,f826])). 46.47/46.66 tff(f1538,plain,( 46.47/46.66 ( ! [X2:set1,X0:$int,X3:map_int_int,X1:$int] : (sP5(X3,sK21(X0,X1,X2),sK9,X0) | sP7(X0,X1,X2) | $less(X1,sum(X3,X0,sK9))) )), 46.47/46.66 inference(superposition,[],[f513,f466])). 46.47/46.66 tff(f1545,plain,( 46.47/46.66 ( ! [X12:set1,X10:map_int_int,X8:map_int_int,X11:$int,X9:$int] : (~$less(X11,sum(X10,X9,sK9)) | sP6(X12,X8,X9) | ~solution(X8,X9) | ~sP7(X9,X11,X12) | sP5(X8,X10,sK9,X9)) )), 46.47/46.66 inference(superposition,[],[f514,f466])). 46.47/46.66 tff(f2123,plain,( 46.47/46.66 ( ! [X2:map_int_int,X0:$int,X1:set1] : ($less(X0,sum(X2,sK9,sK9)) | sP7(sK9,X0,X1)) )), 46.47/46.66 inference(resolution,[],[f1349,f1538])). 46.47/46.66 tff(f2126,plain,( 46.47/46.66 ( ! [X4:map_int_int,X5:set1] : (sP7(sK9,sum(X4,sK9,sK9),X5)) )), 46.47/46.66 inference(resolution,[],[f2123,f125])). 46.47/46.66 tff(f2129,plain,( 46.47/46.66 ( ! [X14:map_int_int,X15:set1,X13:$int] : (sP7(sK9,max(X13,sum(X14,sK9,sK9)),X15)) )), 46.47/46.66 inference(resolution,[],[f2123,f390])). 46.47/46.66 tff(f2130,plain,( 46.47/46.66 ( ! [X17:$int,X18:set1,X16:map_int_int] : (sP7(sK9,max(sum(X16,sK9,sK9),X17),X18)) )), 46.47/46.66 inference(resolution,[],[f2123,f391])). 46.47/46.66 tff(f2142,plain,( 46.47/46.66 ( ! [X4:map_int_int,X2:set1,X3:map_int_int] : (sP6(X2,X3,sK9) | ~solution(X3,sK9) | ~$less(sum(X4,sK9,sK9),0) | $less(sK9,sK9)) )), 46.47/46.66 inference(resolution,[],[f2126,f944])). 46.47/46.66 tff(f2145,plain,( 46.47/46.66 ( ! [X7:set1] : (sP7(sK9,0,X7) | $less(sK9,sK9)) )), 46.47/46.66 inference(superposition,[],[f2126,f443])). 46.47/46.66 tff(f2146,plain,( 46.47/46.66 ( ! [X4:map_int_int,X2:set1,X3:map_int_int] : (sP6(X2,X3,sK9) | ~solution(X3,sK9) | ~$less(sum(X4,sK9,sK9),0)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2142,f125])). 46.47/46.66 tff(f2147,plain,( 46.47/46.66 ( ! [X4:map_int_int,X3:map_int_int] : (~solution(X3,sK9) | ~$less(sum(X4,sK9,sK9),0)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2146,f1229])). 46.47/46.66 tff(f2148,plain,( 46.47/46.66 ( ! [X4:map_int_int] : (~$less(sum(X4,sK9,sK9),0)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2147,f1298])). 46.47/46.66 tff(f2149,plain,( 46.47/46.66 ( ! [X7:set1] : (sP7(sK9,0,X7)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2145,f125])). 46.47/46.66 tff(f2214,plain,( 46.47/46.66 ( ! [X10:set1,X9:$int] : (sP7(sK9,max(X9,0),X10) | $less(sK9,sK9)) )), 46.47/46.66 inference(superposition,[],[f2129,f443])). 46.47/46.66 tff(f2223,plain,( 46.47/46.66 ( ! [X10:set1,X9:$int] : (sP7(sK9,max(X9,0),X10)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2214,f125])). 46.47/46.66 tff(f2243,plain,( 46.47/46.66 ( ! [X8:$int,X9:set1] : (sP7(sK9,X8,X9) | $less(X8,0)) )), 46.47/46.66 inference(superposition,[],[f2223,f397])). 46.47/46.66 tff(f2318,plain,( 46.47/46.66 ( ! [X10:set1,X9:$int] : (sP7(sK9,max(0,X9),X10) | $less(sK9,sK9)) )), 46.47/46.66 inference(superposition,[],[f2130,f443])). 46.47/46.66 tff(f2327,plain,( 46.47/46.66 ( ! [X10:set1,X9:$int] : (sP7(sK9,max(0,X9),X10)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2318,f125])). 46.47/46.66 tff(f2328,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:set1] : (sum(X0,sK9,sK9) = 0 | sP6(X1,X0,sK9) | ~solution(X0,sK9) | ~sP7(sK9,0,X1)) )), 46.47/46.66 inference(resolution,[],[f796,f2148])). 46.47/46.66 tff(f2354,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:set1] : (sum(X0,sK9,sK9) = 0 | ~solution(X0,sK9) | ~sP7(sK9,0,X1)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2328,f1229])). 46.47/46.66 tff(f2355,plain,( 46.47/46.66 ( ! [X0:map_int_int,X1:set1] : (sum(X0,sK9,sK9) = 0 | ~sP7(sK9,0,X1)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2354,f1298])). 46.47/46.66 tff(f2356,plain,( 46.47/46.66 ( ! [X0:map_int_int] : (sum(X0,sK9,sK9) = 0) )), 46.47/46.66 inference(subsumption_resolution,[],[f2355,f2149])). 46.47/46.66 tff(f2361,plain,( 46.47/46.66 ( ! [X4:$int,X5:set1] : (max(0,X4) = 0 | sP7(sK9,X4,X5)) )), 46.47/46.66 inference(superposition,[],[f2327,f395])). 46.47/46.66 tff(f2382,plain,( 46.47/46.66 ( ! [X26:set1,X24:map_int_int,X27:map_int_int,X25:$int] : (~$less(X25,0) | sP6(X26,X27,sK9) | ~solution(X27,sK9) | ~sP7(sK9,X25,X26) | sP5(X27,X24,sK9,sK9)) )), 46.47/46.66 inference(superposition,[],[f1545,f2356])). 46.47/46.66 tff(f2395,plain,( 46.47/46.66 ( ! [X26:set1,X24:map_int_int,X27:map_int_int,X25:$int] : (~$less(X25,0) | ~solution(X27,sK9) | ~sP7(sK9,X25,X26) | sP5(X27,X24,sK9,sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2382,f1229])). 46.47/46.66 tff(f2396,plain,( 46.47/46.66 ( ! [X26:set1,X24:map_int_int,X27:map_int_int,X25:$int] : (~$less(X25,0) | ~sP7(sK9,X25,X26) | sP5(X27,X24,sK9,sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2395,f1298])). 46.47/46.66 tff(f2397,plain,( 46.47/46.66 ( ! [X26:set1,X25:$int] : (~sP7(sK9,X25,X26) | ~$less(X25,0)) )), 46.47/46.66 inference(subsumption_resolution,[],[f2396,f1349])). 46.47/46.66 tff(f2449,plain,( 46.47/46.66 ( ! [X12:$int,X11:map_int_int] : (sum(tb2t(set(int,int,t2tb(X11),t2tb2($uminus(1)),t2tb2(X12))),$uminus(1),sK9) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2($uminus(1))),t2tb2(X12))),sum(X11,0,sK9)) | ~$less($uminus(1),sK9)) )), 46.47/46.66 inference(superposition,[],[f492,f609])). 46.47/46.66 tff(f2459,plain,( 46.47/46.66 ( ! [X12:$int,X11:map_int_int] : (sum(tb2t(set(int,int,t2tb(X11),t2tb2(-1),t2tb2(X12))),-1,sK9) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(-1)),t2tb2(X12))),sum(X11,0,sK9)) | ~$less(-1,sK9)) )), 46.47/46.66 inference(evaluation,[],[f2449])). 46.47/46.66 tff(f2465,plain,( 46.47/46.66 spl23_46 <=> $less(-1,sK9)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_46])])). 46.47/46.66 tff(f2468,plain,( 46.47/46.66 spl23_47 <=> ~$less(-1,sK9)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_47])])). 46.47/46.66 tff(f2471,plain,( 46.47/46.66 spl23_48 <=> ! [X11 : map_int_int,X12 : $int] : sum(tb2t(set(int,int,t2tb(X11),t2tb2(-1),t2tb2(X12))),-1,sK9) = $sum(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(-1)),t2tb2(X12))),sum(X11,0,sK9))), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_48])])). 46.47/46.66 tff(f2473,plain,( 46.47/46.66 ~spl23_47 | spl23_48), 46.47/46.66 inference(AVATAR_split_clause,[],[f2459,f2471,f2468])). 46.47/46.66 tff(f2556,plain,( 46.47/46.66 ( ! [X10:set1,X9:$int] : (sP7(sK9,X9,X10) | ~$less(0,X9)) )), 46.47/46.66 inference(superposition,[],[f390,f2361])). 46.47/46.66 tff(f2581,plain,( 46.47/46.66 ( ! [X0:$int] : (~$less(0,X0) | ~$less(X0,0)) )), 46.47/46.66 inference(resolution,[],[f2556,f2397])). 46.47/46.66 tff(f2635,plain,( 46.47/46.66 ( ! [X11:$int] : (~$less($sum(X11,1),0) | $less(X11,0)) )), 46.47/46.66 inference(resolution,[],[f2581,f129])). 46.47/46.66 tff(f2638,plain,( 46.47/46.66 ( ! [X11:$int] : (~$less(X11,$uminus(1)) | $less(X11,0)) )), 46.47/46.66 inference(evaluation,[],[f2635])). 46.47/46.66 tff(f2639,plain,( 46.47/46.66 ( ! [X11:$int] : (~$less(X11,-1) | $less(X11,0)) )), 46.47/46.66 inference(evaluation,[],[f2638])). 46.47/46.66 tff(f2662,plain,( 46.47/46.66 $less(sK9,0) | $less(-1,size) | sK9 = -1 | ~spl23_18), 46.47/46.66 inference(resolution,[],[f2639,f1212])). 46.47/46.66 tff(f2663,plain,( 46.47/46.66 $less(0,0) | $less(-1,size) | 0 = -1 | ~spl23_34), 46.47/46.66 inference(resolution,[],[f2639,f1235])). 46.47/46.66 tff(f2664,plain,( 46.47/46.66 $less(0,0) | $less(-1,sK9) | 0 = -1 | ~spl23_22), 46.47/46.66 inference(resolution,[],[f2639,f1224])). 46.47/46.66 tff(f2673,plain,( 46.47/46.66 $less(-1,sK9) | ~spl23_22), 46.47/46.66 inference(evaluation,[],[f2664])). 46.47/46.66 tff(f2674,plain,( 46.47/46.66 $less(-1,size) | ~spl23_34), 46.47/46.66 inference(evaluation,[],[f2663])). 46.47/46.66 tff(f2675,plain,( 46.47/46.66 $less(-1,size) | sK9 = -1 | (~spl23_9 | ~spl23_18)), 46.47/46.66 inference(subsumption_resolution,[],[f2662,f558])). 46.47/46.66 tff(f2680,plain,( 46.47/46.66 spl23_50 <=> sK9 = -1), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_50])])). 46.47/46.66 tff(f2686,plain,( 46.47/46.66 spl23_52 <=> $less(-1,size)), 46.47/46.66 introduced(AVATAR_definition,[new_symbols(naming,[spl23_52])])). 46.47/46.66 tff(f2688,plain,( 46.47/46.66 spl23_50 | spl23_52 | spl23_9 | ~spl23_18), 46.47/46.66 inference(AVATAR_split_clause,[],[f2675,f826,f557,f2686,f2680])). 46.47/46.66 tff(f2689,plain,( 46.47/46.66 spl23_52 | ~spl23_34), 46.47/46.66 inference(AVATAR_split_clause,[],[f2674,f964,f2686])). 46.47/46.66 tff(f2690,plain,( 46.47/46.66 spl23_46 | ~spl23_22), 46.47/46.66 inference(AVATAR_split_clause,[],[f2673,f839,f2465])). 46.47/46.66 tff(f5134,plain,( 46.47/46.66 ( ! [X15:uni,X16:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(X16))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X15))) | $less(sum(tb2t(X15),sK9,sK9),0) | ~sP8(X16,tb2t(X15),sK9) | ~sP7(sK9,sum(tb2t(X15),sK9,sK9),X16) | ~solution(tb2t(X15),sK9)) )), 46.47/46.66 inference(superposition,[],[f1241,f2356])). 46.47/46.66 tff(f5166,plain,( 46.47/46.66 ( ! [X15:uni,X16:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(X16))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X15))) | $less(sum(tb2t(X15),sK9,sK9),0) | ~sP8(X16,tb2t(X15),sK9) | ~solution(tb2t(X15),sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f5134,f2243])). 46.47/46.66 tff(f5167,plain,( 46.47/46.66 ( ! [X15:uni,X16:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(X16))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X15))) | ~sP8(X16,tb2t(X15),sK9) | ~solution(tb2t(X15),sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f5166,f2148])). 46.47/46.66 tff(f5168,plain,( 46.47/46.66 ( ! [X15:uni,X16:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(X16))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X15))) | ~solution(tb2t(X15),sK9)) )), 46.47/46.66 inference(subsumption_resolution,[],[f5167,f1218])). 46.47/46.66 tff(f5169,plain,( 46.47/46.66 ( ! [X15:uni,X16:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(sK9),t2tb4(X16))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X15)))) )), 46.47/46.66 inference(subsumption_resolution,[],[f5168,f1298])). 46.47/46.66 tff(f5170,plain,( 46.47/46.66 $false | ~spl23_1), 46.47/46.66 inference(subsumption_resolution,[],[f530,f5169])). 46.47/46.66 tff(f5171,plain,( 46.47/46.66 spl23_1), 46.47/46.66 inference(AVATAR_contradiction_clause,[],[f5170,f529])). 46.47/46.66 tff(f5172,plain,( 46.47/46.66 $false), 46.47/46.66 inference(AVATAR_sat_refutation,[],[f537,f544,f545,f552,f559,f566,f579,f688,f828,f841,f870,f877,f884,f915,f958,f966,f973,f1082,f1089,f1105,f1106,f1174,f1183,f1366,f1368,f1373,f1379,f1383,f2473,f2688,f2689,f2690,f5171])). 46.47/46.66 % SZS output end Proof for theBenchmark 46.47/46.66 % ------------------------------ 46.47/46.66 % Version: Vampire 4.1 for CASC J8 Entry 46.47/46.66 % Termination reason: Refutation 46.47/46.66 46.47/46.66 % Memory used [KB]: 6780 46.47/46.66 % Time elapsed: 0.217 s 46.47/46.66 % ------------------------------ 46.47/46.66 % ------------------------------ 46.47/46.66 % Success in time 46.41 s 46.47/46.67 EOF