0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.23 % Computer : n172.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 06:00:41 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.26 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.26 % remaining time: 5999 next slice time: 4 0.03/0.29 dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.60/0.79 % (8730)Time limit reached! 0.60/0.79 % ------------------------------ 0.60/0.79 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.60/0.79 % Termination reason: Time limit 0.60/0.79 % Termination phase: Saturation 0.60/0.79 0.60/0.79 % Memory used [KB]: 13048 0.60/0.79 % Time elapsed: 0.500 s 0.60/0.79 % ------------------------------ 0.60/0.79 % ------------------------------ 0.60/0.79 % remaining time: 5994 next slice time: 10 0.60/0.80 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_8 on theBenchmark 1.66/1.89 % (8731)Time limit reached! 1.66/1.89 % ------------------------------ 1.66/1.89 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.66/1.89 % Termination reason: Time limit 1.66/1.89 % Termination phase: Saturation 1.66/1.89 1.66/1.89 % Memory used [KB]: 25330 1.66/1.89 % Time elapsed: 1.100 s 1.66/1.89 % ------------------------------ 1.66/1.89 % ------------------------------ 1.66/1.90 % remaining time: 5983 next slice time: 4 1.66/1.90 dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 2.15/2.40 % (8732)Time limit reached! 2.15/2.40 % ------------------------------ 2.15/2.40 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.15/2.40 % Termination reason: Time limit 2.15/2.40 % Termination phase: Saturation 2.15/2.40 2.15/2.40 % Memory used [KB]: 33901 2.15/2.40 % Time elapsed: 0.500 s 2.15/2.40 % ------------------------------ 2.15/2.40 % ------------------------------ 2.21/2.40 % remaining time: 5978 next slice time: 6 2.21/2.40 dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_4 on theBenchmark 2.88/3.10 % (8733)Time limit reached! 2.88/3.10 % ------------------------------ 2.88/3.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.88/3.10 % Termination reason: Time limit 2.88/3.10 % Termination phase: Saturation 2.88/3.10 2.88/3.10 % Memory used [KB]: 52834 2.88/3.10 % Time elapsed: 0.700 s 2.88/3.10 % ------------------------------ 2.88/3.10 % ------------------------------ 2.88/3.11 % remaining time: 5971 next slice time: 6 2.88/3.11 lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_4 on theBenchmark 3.61/3.81 % (8734)Time limit reached! 3.61/3.81 % ------------------------------ 3.61/3.81 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.61/3.81 % Termination reason: Time limit 3.61/3.81 % Termination phase: Saturation 3.61/3.81 3.61/3.81 % Memory used [KB]: 23283 3.61/3.81 % Time elapsed: 0.700 s 3.61/3.81 % ------------------------------ 3.61/3.81 % ------------------------------ 3.61/3.81 % remaining time: 5964 next slice time: 4 3.61/3.81 lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_2 on theBenchmark 4.11/4.31 % (8735)Time limit reached! 4.11/4.31 % ------------------------------ 4.11/4.31 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.11/4.31 % Termination reason: Time limit 4.11/4.31 % Termination phase: Saturation 4.11/4.31 4.11/4.31 % Memory used [KB]: 12792 4.11/4.31 % Time elapsed: 0.500 s 4.11/4.31 % ------------------------------ 4.11/4.31 % ------------------------------ 4.11/4.31 % remaining time: 5959 next slice time: 23 4.11/4.31 lrs+1011_3:2_aac=none:afp=10000:afq=1.2:amm=off:anc=all:cond=on:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=32:newcnf=on:nwc=3:nicw=on:stl=30:sac=on:sp=reverse_arity:urr=ec_only:updr=off:uhcvi=on_21 on theBenchmark 6.51/6.71 % (8736)Time limit reached! 6.51/6.71 % ------------------------------ 6.51/6.71 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 6.51/6.71 % Termination reason: Time limit 6.51/6.71 % Termination phase: Saturation 6.51/6.71 6.51/6.71 % Memory used [KB]: 67163 6.51/6.71 % Time elapsed: 2.400 s 6.51/6.71 % ------------------------------ 6.51/6.71 % ------------------------------ 6.51/6.72 % remaining time: 5935 next slice time: 4 6.51/6.72 lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 7.05/7.22 % (8737)Time limit reached! 7.05/7.22 % ------------------------------ 7.05/7.22 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.05/7.22 % Termination reason: Time limit 7.05/7.22 % Termination phase: Saturation 7.05/7.22 7.05/7.22 % Memory used [KB]: 16375 7.05/7.22 % Time elapsed: 0.500 s 7.05/7.22 % ------------------------------ 7.05/7.22 % ------------------------------ 7.05/7.22 % remaining time: 5930 next slice time: 7 7.05/7.22 dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 7.81/8.02 % (8738)Time limit reached! 7.81/8.02 % ------------------------------ 7.81/8.02 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.81/8.02 % Termination reason: Time limit 7.81/8.02 % Termination phase: Saturation 7.81/8.02 7.81/8.02 % Memory used [KB]: 19061 7.81/8.02 % Time elapsed: 0.800 s 7.81/8.02 % ------------------------------ 7.81/8.02 % ------------------------------ 7.86/8.03 % remaining time: 5922 next slice time: 4 7.86/8.03 dis+11_32_av=off:ep=RST:fsr=off:lwlo=on:nm=6:nwc=1.1:sd=5:ss=axioms:st=5.0:sp=reverse_arity:uhcvi=on_2 on theBenchmark 8.31/8.53 % (8739)Time limit reached! 8.31/8.53 % ------------------------------ 8.31/8.53 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 8.31/8.53 % Termination reason: Time limit 8.31/8.53 % Termination phase: Saturation 8.31/8.53 8.31/8.53 % Memory used [KB]: 14456 8.31/8.53 % Time elapsed: 0.500 s 8.31/8.53 % ------------------------------ 8.31/8.53 % ------------------------------ 8.31/8.53 % remaining time: 5917 next slice time: 7 8.31/8.53 dis+1003_64_add=off:afr=on:afp=100000:afq=1.1:anc=none:cond=fast:fde=none:irw=on:nm=6:newcnf=on:nwc=1.3:uhcvi=on_5 on theBenchmark 9.15/9.33 % (8740)Time limit reached! 9.15/9.33 % ------------------------------ 9.15/9.33 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 9.15/9.33 % Termination reason: Time limit 9.15/9.33 % Termination phase: Saturation 9.15/9.33 9.15/9.33 % Memory used [KB]: 28400 9.15/9.33 % Time elapsed: 0.800 s 9.15/9.33 % ------------------------------ 9.15/9.33 % ------------------------------ 9.15/9.33 % remaining time: 5909 next slice time: 5 9.15/9.33 dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_3 on theBenchmark 9.77/9.93 % (8741)Time limit reached! 9.77/9.93 % ------------------------------ 9.77/9.93 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 9.77/9.93 % Termination reason: Time limit 9.77/9.93 % Termination phase: Saturation 9.77/9.93 9.77/9.93 % Memory used [KB]: 20852 9.77/9.93 % Time elapsed: 0.600 s 9.77/9.93 % ------------------------------ 9.77/9.93 % ------------------------------ 9.77/9.94 % remaining time: 5903 next slice time: 87 9.77/9.94 ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_82 on theBenchmark 18.55/18.74 % (8742)Time limit reached! 18.55/18.74 % ------------------------------ 18.55/18.74 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.55/18.74 % Termination reason: Time limit 18.55/18.74 % Termination phase: Saturation 18.55/18.74 18.55/18.74 % Memory used [KB]: 39146 18.55/18.74 % Time elapsed: 8.800 s 18.55/18.74 % ------------------------------ 18.55/18.74 % ------------------------------ 18.55/18.74 % remaining time: 5815 next slice time: 8 18.55/18.74 lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_6 on theBenchmark 18.63/18.77 % Refutation not found, incomplete strategy 18.63/18.77 % ------------------------------ 18.63/18.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.63/18.77 % Termination reason: Refutation not found, incomplete strategy 18.63/18.77 18.63/18.77 % Memory used [KB]: 12537 18.63/18.77 % Time elapsed: 0.027 s 18.63/18.77 % ------------------------------ 18.63/18.77 % ------------------------------ 18.63/18.77 % remaining time: 5814 next slice time: 54 18.63/18.77 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_51 on theBenchmark 24.16/24.27 % (8744)Time limit reached! 24.16/24.27 % ------------------------------ 24.16/24.27 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 24.16/24.27 % Termination reason: Time limit 24.16/24.27 % Termination phase: Saturation 24.16/24.27 24.16/24.27 % Memory used [KB]: 45926 24.16/24.27 % Time elapsed: 5.500 s 24.16/24.27 % ------------------------------ 24.16/24.27 % ------------------------------ 24.16/24.28 % remaining time: 5759 next slice time: 7 24.16/24.28 lrs+1_3:2_aac=none:add=large:anc=all_dependent:bce=on:cond=fast:ep=RST:fsr=off:lma=on:nm=2:nwc=1:stl=30:sos=on:sp=occurrence:urr=on:updr=off:uhcvi=on_5 on theBenchmark 24.97/25.08 % (8766)Time limit reached! 24.97/25.08 % ------------------------------ 24.97/25.08 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 24.97/25.08 % Termination reason: Time limit 24.97/25.08 % Termination phase: Saturation 24.97/25.08 24.97/25.08 % Memory used [KB]: 31086 24.97/25.08 % Time elapsed: 0.800 s 24.97/25.08 % ------------------------------ 24.97/25.08 % ------------------------------ 24.97/25.08 % remaining time: 5751 next slice time: 11 24.97/25.08 ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 25.02/25.10 % Refutation not found, incomplete strategy 25.02/25.10 % ------------------------------ 25.02/25.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 25.02/25.10 % Termination reason: Refutation not found, incomplete strategy 25.02/25.10 25.02/25.10 % Memory used [KB]: 7547 25.02/25.10 % Time elapsed: 0.019 s 25.02/25.10 % ------------------------------ 25.02/25.10 % ------------------------------ 25.02/25.10 % remaining time: 5751 next slice time: 7 25.02/25.10 dis+11_5_afp=40000:afq=1.4:anc=none:br=off:cond=on:fsr=off:irw=on:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=2.0:urr=on:updr=off_5 on theBenchmark 25.80/25.90 % (8768)Time limit reached! 25.80/25.90 % ------------------------------ 25.80/25.90 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 25.80/25.90 % Termination reason: Time limit 25.80/25.90 % Termination phase: Saturation 25.80/25.90 25.80/25.90 % Memory used [KB]: 39402 25.80/25.90 % Time elapsed: 0.800 s 25.80/25.90 % ------------------------------ 25.80/25.90 % ------------------------------ 25.80/25.91 % remaining time: 5743 next slice time: 4 25.80/25.91 dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_2 on theBenchmark 25.80/25.92 % Refutation not found, incomplete strategy 25.80/25.92 % ------------------------------ 25.80/25.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 25.80/25.92 % Termination reason: Refutation not found, incomplete strategy 25.80/25.92 25.80/25.92 % Memory used [KB]: 11513 25.80/25.92 % Time elapsed: 0.010 s 25.80/25.92 % ------------------------------ 25.80/25.92 % ------------------------------ 25.80/25.92 % remaining time: 5743 next slice time: 9 25.80/25.92 lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on_7 on theBenchmark 26.80/26.92 % (8770)Time limit reached! 26.80/26.92 % ------------------------------ 26.80/26.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 26.80/26.92 % Termination reason: Time limit 26.80/26.92 % Termination phase: Saturation 26.80/26.92 26.80/26.92 % Memory used [KB]: 27632 26.80/26.92 % Time elapsed: 1.0000 s 26.80/26.92 % ------------------------------ 26.80/26.92 % ------------------------------ 26.80/26.92 % remaining time: 5733 next slice time: 9 26.85/26.92 lrs+1003_2_acc=on:afp=4000:afq=2.0:amm=sco:bd=off:ccuc=small_ones:fsr=off:fde=unused:gsp=input_only:nm=64:newcnf=on:nwc=2.5:nicw=on:stl=30:urr=ec_only_7 on theBenchmark 27.84/27.92 % (8771)Time limit reached! 27.84/27.92 % ------------------------------ 27.84/27.92 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 27.84/27.92 % Termination reason: Time limit 27.84/27.92 % Termination phase: Saturation 27.84/27.92 27.84/27.92 % Memory used [KB]: 29040 27.84/27.92 % Time elapsed: 1.0000 s 27.84/27.92 % ------------------------------ 27.84/27.92 % ------------------------------ 27.84/27.93 % remaining time: 5723 next slice time: 4 27.84/27.93 ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_2 on theBenchmark 28.32/28.43 % (8772)Time limit reached! 28.32/28.43 % ------------------------------ 28.32/28.43 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 28.32/28.43 % Termination reason: Time limit 28.32/28.43 % Termination phase: Saturation 28.32/28.43 28.32/28.43 % Memory used [KB]: 13048 28.32/28.43 % Time elapsed: 0.500 s 28.32/28.43 % ------------------------------ 28.32/28.43 % ------------------------------ 28.32/28.43 % remaining time: 5718 next slice time: 5 28.37/28.43 dis-3_5_av=off:cond=on:gs=on:gsem=off:lcm=predicate:nm=0:nwc=1:sos=on:sp=reverse_arity_3 on theBenchmark 28.94/29.01 % (8773)Time limit reached! 28.94/29.01 % ------------------------------ 28.94/29.01 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 28.94/29.01 % Termination reason: Time limit 28.94/29.01 % Termination phase: Saturation 28.94/29.01 28.94/29.01 % Memory used [KB]: 32366 28.94/29.01 % Time elapsed: 0.600 s 28.94/29.01 % ------------------------------ 28.94/29.01 % ------------------------------ 28.94/29.01 % remaining time: 5712 next slice time: 56 28.94/29.01 lrs+1011_14_av=off:fsr=off:irw=on:nwc=1:stl=30:sos=on:sp=occurrence:urr=ec_only:updr=off_53 on theBenchmark 34.64/34.69 % (8774)Time limit reached! 34.64/34.69 % ------------------------------ 34.64/34.69 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 34.64/34.69 % Termination reason: Time limit 34.64/34.69 % Termination phase: Saturation 34.64/34.69 34.64/34.69 % Memory used [KB]: 104134 34.64/34.69 % Time elapsed: 5.700 s 34.64/34.69 % ------------------------------ 34.64/34.69 % ------------------------------ 34.64/34.70 % remaining time: 5655 next slice time: 5 34.64/34.71 dis+11_10_av=off:lma=on:nm=64:nwc=5:sp=reverse_arity_3 on theBenchmark 35.22/35.28 % (8775)Time limit reached! 35.22/35.28 % ------------------------------ 35.22/35.28 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 35.22/35.28 % Termination reason: Time limit 35.22/35.28 % Termination phase: Saturation 35.22/35.28 35.22/35.28 % Memory used [KB]: 22899 35.22/35.28 % Time elapsed: 0.600 s 35.22/35.28 % ------------------------------ 35.22/35.28 % ------------------------------ 35.22/35.29 % remaining time: 5649 next slice time: 13 35.22/35.29 lrs+1011_4:1_av=off:fsr=off:irw=on:nwc=1:stl=30:sd=4:ss=axioms:st=1.5:sp=reverse_arity_12 on theBenchmark 36.57/36.67 % (8776)Time limit reached! 36.57/36.67 % ------------------------------ 36.57/36.67 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 36.57/36.67 % Termination reason: Time limit 36.57/36.67 % Termination phase: Saturation 36.57/36.67 36.57/36.67 % Memory used [KB]: 37867 36.57/36.67 % Time elapsed: 1.400 s 36.57/36.67 % ------------------------------ 36.57/36.67 % ------------------------------ 36.57/36.67 % remaining time: 5635 next slice time: 245 36.57/36.67 lrs+10_2:3_afp=1000:afq=1.1:amm=sco:anc=none:er=known:lcm=reverse:lwlo=on:nm=64:newcnf=on:nwc=2:stl=30:sd=5:ss=axioms:sos=theory:sac=on:sp=occurrence_233 on theBenchmark 61.31/61.25 % (8777)Time limit reached! 61.31/61.25 % ------------------------------ 61.31/61.25 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 61.31/61.25 % Termination reason: Time limit 61.31/61.25 % Termination phase: Saturation 61.31/61.25 61.31/61.25 % Memory used [KB]: 116416 61.31/61.25 % Time elapsed: 24.600 s 61.31/61.25 % ------------------------------ 61.31/61.25 % ------------------------------ 61.31/61.26 % remaining time: 5389 next slice time: 7 61.31/61.26 lrs+1011_3:2_av=off:er=known:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=2:ss=axioms:st=3.0:urr=on:updr=off_5 on theBenchmark 62.12/62.06 % (8931)Time limit reached! 62.12/62.06 % ------------------------------ 62.12/62.06 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 62.12/62.06 % Termination reason: Time limit 62.12/62.06 % Termination phase: Saturation 62.12/62.06 62.12/62.06 % Memory used [KB]: 31214 62.12/62.06 % Time elapsed: 0.800 s 62.12/62.06 % ------------------------------ 62.12/62.06 % ------------------------------ 62.12/62.07 % remaining time: 5381 next slice time: 38 62.12/62.07 lrs+1011_2:3_av=off:gs=on:gsem=off:nwc=1.5:stl=30:sos=theory:sp=occurrence:urr=ec_only:updr=off_36 on theBenchmark 63.96/63.90 % Refutation found. Thanks to Tanya! 63.96/63.90 % SZS status Theorem for theBenchmark 63.96/63.90 % SZS output start Proof for theBenchmark 63.96/63.91 fof(f11,axiom,( 63.96/63.91 ! [X17,X18] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18),X17)) <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X17)),X18)))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_not__less__eq__eq)). 63.96/63.91 fof(f13,axiom,( 63.96/63.91 ! [X17] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X17) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X17))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__eq__Suc__le__raw)). 63.96/63.91 fof(f31,axiom,( 63.96/63.91 ! [X25,X26] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X26),X25)) => (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X25),X26)) => X25 = X26))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__antisym)). 63.96/63.91 fof(f47,axiom,( 63.96/63.91 ! [X25,X26] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X26),X25) = X26 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X25)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__self__zero)). 63.96/63.91 fof(f59,axiom,( 63.96/63.91 ! [X25] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X25 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25)))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0I)). 63.96/63.91 fof(f106,axiom,( 63.96/63.91 ! [X25] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25) = X25), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_plus__nat_Oadd__0)). 63.96/63.91 fof(f113,axiom,( 63.96/63.91 ! [X25,X26] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X26),hAPP(c_Nat_OSuc,X25)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X26),X25))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__Suc__right)). 63.96/63.91 fof(f141,axiom,( 63.96/63.91 ! [X22,X23] : (hAPP(c_Nat_OSuc,X22) = hAPP(c_Nat_OSuc,X23) => X22 = X23)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__inject)). 63.96/63.91 fof(f201,axiom,( 63.96/63.91 ! [X66,X1] : hAPP(c_COMBI(X1),X66) = X66), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBI__1)). 63.96/63.91 fof(f290,axiom,( 63.96/63.91 ! [X17,X18] : ((? [X73] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X73),X17)) & hAPP(c_Nat_OSuc,X73) = X18) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X18) <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X18),hAPP(c_Nat_OSuc,X17))))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_less__Suc__eq__0__disj)). 63.96/63.91 fof(f343,axiom,( 63.96/63.91 ! [X3,X43,X34,X1,X54,X5] : hAPP(hAPP(X34,X3),hAPP(X43,X3)) = hAPP(c_COMBS(X5,X54,X1,X34,X43),X3)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBS__1)). 63.96/63.91 fof(f356,axiom,( 63.96/63.91 ! [X30,X22,X23] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X23),X22)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X23),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X22),X30))))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_termination__basic__simps_I3_J)). 63.96/63.91 fof(f358,axiom,( 63.96/63.91 ! [X25] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X25),hAPP(c_Nat_OSuc,X25)))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_lessI)). 63.96/63.91 fof(f382,axiom,( 63.96/63.91 ! [X25] : hAPP(c_Nat_OSuc,X25) != X25), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Suc__n__not__n)). 63.96/63.91 fof(f419,axiom,( 63.96/63.91 ! [X26] : hAPP(c_Nat_OSuc,X26) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__neq__Suc)). 63.96/63.91 fof(f420,axiom,( 63.96/63.91 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_One__nat__def)). 63.96/63.91 fof(f465,axiom,( 63.96/63.91 ! [X25] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X25)))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__Suc)). 63.96/63.91 fof(f491,axiom,( 63.96/63.91 ! [X17] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X17)) <=> ? [X62] : hAPP(c_Nat_OSuc,X62) = X17)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_gr0__conv__Suc)). 63.96/63.91 fof(f530,axiom,( 63.96/63.91 ! [X17,X18] : (? [X35] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X18),X35) = X17 <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18),X17)))), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__iff__add)). 63.96/63.91 fof(f531,axiom,( 63.96/63.91 ! [X3,X43,X34,X54,X1,X5] : hAPP(X34,hAPP(X43,X3)) = hAPP(hAPP(c_COMBB(X5,X1,X54,X34),X43),X3)), 63.96/63.91 file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1)). 63.96/63.91 fof(f540,plain,( 63.96/63.91 ! [X0] : hAPP(c_Nat_OSuc,X0) != X0), 63.96/63.91 inference(rectify,[],[f382])). 63.96/63.91 fof(f544,plain,( 63.96/63.91 ! [X0] : hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), 63.96/63.91 inference(rectify,[],[f419])). 63.96/63.91 fof(f560,plain,( 63.96/63.91 ! [X0] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = X0), 63.96/63.91 inference(rectify,[],[f106])). 63.96/63.91 fof(f561,plain,( 63.96/63.91 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0)))), 63.96/63.91 inference(rectify,[],[f358])). 63.96/63.91 fof(f562,plain,( 63.96/63.91 ! [X0] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0))), 63.96/63.91 inference(rectify,[],[f13])). 63.96/63.91 fof(f563,plain,( 63.96/63.91 ! [X0] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))), 63.96/63.91 inference(rectify,[],[f465])). 63.96/63.91 fof(f580,plain,( 63.96/63.91 ! [X0] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X0 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)))), 63.96/63.91 inference(rectify,[],[f59])). 63.96/63.91 fof(f587,plain,( 63.96/63.91 ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) <=> ? [X1] : hAPP(c_Nat_OSuc,X1) = X0)), 63.96/63.91 inference(rectify,[],[f491])). 63.96/63.91 fof(f591,plain,( 63.96/63.91 ! [X0,X1] : hAPP(c_COMBI(X1),X0) = X0), 63.96/63.91 inference(rectify,[],[f201])). 63.96/63.91 fof(f610,plain,( 63.96/63.91 ! [X0,X1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))), 63.96/63.91 inference(rectify,[],[f113])). 63.96/63.91 fof(f644,plain,( 63.96/63.91 ! [X0,X1] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) => (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) => X0 = X1))), 63.96/63.91 inference(rectify,[],[f31])). 63.96/63.91 fof(f652,plain,( 63.96/63.91 ! [X0,X1] : (hAPP(c_Nat_OSuc,X0) = hAPP(c_Nat_OSuc,X1) => X0 = X1)), 63.96/63.91 inference(rectify,[],[f141])). 63.96/63.91 fof(f662,plain,( 63.96/63.91 ! [X0,X1] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) = X1 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0)), 63.96/63.91 inference(rectify,[],[f47])). 63.96/63.91 fof(f681,plain,( 63.96/63.91 ! [X0,X1] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0)),X1)))), 63.96/63.91 inference(rectify,[],[f11])). 63.96/63.91 fof(f696,plain,( 63.96/63.91 ! [X0,X1] : ((? [X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) & hAPP(c_Nat_OSuc,X2) = X1) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1) <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))))), 63.96/63.91 inference(rectify,[],[f290])). 63.96/63.91 fof(f702,plain,( 63.96/63.91 ! [X0,X1] : (? [X2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X0 <=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)))), 63.96/63.91 inference(rectify,[],[f530])). 63.96/63.91 fof(f785,plain,( 63.96/63.91 ! [X0,X1,X2] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)) => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))))), 63.96/63.91 inference(rectify,[],[f356])). 63.96/63.91 fof(f976,plain,( 63.96/63.91 ! [X0,X1,X2,X3,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0)), 63.96/63.91 inference(rectify,[],[f531])). 63.96/63.91 fof(f979,plain,( 63.96/63.91 ! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(X2,X0),hAPP(X1,X0)) = hAPP(c_COMBS(X5,X4,X3,X2,X1),X0)), 63.96/63.91 inference(rectify,[],[f343])). 63.96/63.91 fof(f1023,plain,( 63.96/63.91 ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0)), 63.96/63.91 inference(ennf_transformation,[],[f580])). 63.96/63.91 fof(f1071,plain,( 63.96/63.91 ! [X0,X1] : ((X0 = X1 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1))) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)))), 63.96/63.91 inference(ennf_transformation,[],[f644])). 63.96/63.91 fof(f1072,plain,( 63.96/63.91 ! [X0,X1] : (X0 = X1 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)))), 63.96/63.91 inference(flattening,[],[f1071])). 63.96/63.91 fof(f1085,plain,( 63.96/63.91 ! [X0,X1] : (X0 = X1 | hAPP(c_Nat_OSuc,X0) != hAPP(c_Nat_OSuc,X1))), 63.96/63.91 inference(ennf_transformation,[],[f652])). 63.96/63.91 fof(f1096,plain,( 63.96/63.91 ! [X0,X1] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 | hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1)), 63.96/63.91 inference(ennf_transformation,[],[f662])). 63.96/63.91 fof(f1244,plain,( 63.96/63.91 ! [X0,X1,X2] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1)))), 63.96/63.91 inference(ennf_transformation,[],[f785])). 63.96/63.91 fof(f1555,plain,( 63.96/63.91 ! [X0] : ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | ! [X1] : hAPP(c_Nat_OSuc,X1) != X0) & (? [X1] : hAPP(c_Nat_OSuc,X1) = X0 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))))), 63.96/63.91 inference(nnf_transformation,[],[f587])). 63.96/63.91 fof(f1556,plain,( 63.96/63.91 ! [X0] : ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | ! [X1] : hAPP(c_Nat_OSuc,X1) != X0) & (? [X2] : hAPP(c_Nat_OSuc,X2) = X0 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))))), 63.96/63.91 inference(rectify,[],[f1555])). 63.96/63.91 fof(f1557,plain,( 63.96/63.91 ! [X0] : (? [X2] : hAPP(c_Nat_OSuc,X2) = X0 => hAPP(c_Nat_OSuc,sK11(X0)) = X0)), 63.96/63.91 introduced(choice_axiom,[])). 63.96/63.91 fof(f1558,plain,( 63.96/63.91 ! [X0] : ((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | ! [X1] : hAPP(c_Nat_OSuc,X1) != X0) & (hAPP(c_Nat_OSuc,sK11(X0)) = X0 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))))), 63.96/63.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f1556,f1557])). 63.96/63.91 fof(f1593,plain,( 63.96/63.91 ! [X0,X1] : ((~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0)),X1))) & (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0)),X1)) | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))))), 63.96/63.91 inference(nnf_transformation,[],[f681])). 63.96/63.91 fof(f1618,plain,( 63.96/63.91 ! [X0,X1] : (((? [X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) & hAPP(c_Nat_OSuc,X2) = X1) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)))) & (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))) | (! [X2] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) | hAPP(c_Nat_OSuc,X2) != X1) & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1)))), 63.96/63.91 inference(nnf_transformation,[],[f696])). 63.96/63.91 fof(f1619,plain,( 63.96/63.91 ! [X0,X1] : ((? [X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) & hAPP(c_Nat_OSuc,X2) = X1) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)))) & (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))) | (! [X2] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) | hAPP(c_Nat_OSuc,X2) != X1) & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1)))), 63.96/63.91 inference(flattening,[],[f1618])). 63.96/63.91 fof(f1620,plain,( 63.96/63.91 ! [X0,X1] : ((? [X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) & hAPP(c_Nat_OSuc,X2) = X1) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)))) & (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))) | (! [X3] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X0)) | hAPP(c_Nat_OSuc,X3) != X1) & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1)))), 63.96/63.91 inference(rectify,[],[f1619])). 63.96/63.91 fof(f1621,plain,( 63.96/63.91 ! [X1,X0] : (? [X2] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X2),X0)) & hAPP(c_Nat_OSuc,X2) = X1) => (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK24(X0,X1)),X0)) & hAPP(c_Nat_OSuc,sK24(X0,X1)) = X1))), 63.96/63.91 introduced(choice_axiom,[])). 63.96/63.91 fof(f1622,plain,( 63.96/63.91 ! [X0,X1] : (((hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),sK24(X0,X1)),X0)) & hAPP(c_Nat_OSuc,sK24(X0,X1)) = X1) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)))) & (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))) | (! [X3] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X3),X0)) | hAPP(c_Nat_OSuc,X3) != X1) & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1)))), 63.96/63.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f1620,f1621])). 63.96/63.91 fof(f1638,plain,( 63.96/63.91 ! [X0,X1] : ((? [X2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X0 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) & (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | ! [X2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) != X0))), 63.96/63.91 inference(nnf_transformation,[],[f702])). 63.96/63.91 fof(f1639,plain,( 63.96/63.91 ! [X0,X1] : ((? [X2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X0 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) & (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | ! [X3] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3) != X0))), 63.96/63.91 inference(rectify,[],[f1638])). 63.96/63.91 fof(f1640,plain,( 63.96/63.91 ! [X1,X0] : (? [X2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X2) = X0 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sK28(X0,X1)) = X0)), 63.96/63.91 introduced(choice_axiom,[])). 63.96/63.91 fof(f1641,plain,( 63.96/63.91 ! [X0,X1] : ((hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sK28(X0,X1)) = X0 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) & (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | ! [X3] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X3) != X0))), 63.96/63.91 inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f1639,f1640])). 63.96/63.91 fof(f1815,plain,( 63.96/63.91 hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), 63.96/63.91 inference(cnf_transformation,[],[f420])). 63.96/63.91 fof(f1842,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != X0) )), 63.96/63.91 inference(cnf_transformation,[],[f540])). 63.96/63.91 fof(f1846,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,X0) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 63.96/63.91 inference(cnf_transformation,[],[f544])). 63.96/63.91 fof(f1862,plain,( 63.96/63.91 ( ! [X0] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0) = X0) )), 63.96/63.91 inference(cnf_transformation,[],[f560])). 63.96/63.91 fof(f1863,plain,( 63.96/63.91 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),hAPP(c_Nat_OSuc,X0)))) )), 63.96/63.91 inference(cnf_transformation,[],[f561])). 63.96/63.91 fof(f1864,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f562])). 63.96/63.91 fof(f1865,plain,( 63.96/63.91 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))) )), 63.96/63.91 inference(cnf_transformation,[],[f563])). 63.96/63.91 fof(f1882,plain,( 63.96/63.91 ( ! [X0] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0)) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(cnf_transformation,[],[f1023])). 63.96/63.91 fof(f1894,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,sK11(X0)) = X0 | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f1558])). 63.96/63.91 fof(f1912,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(c_COMBI(X1),X0) = X0) )), 63.96/63.91 inference(cnf_transformation,[],[f591])). 63.96/63.91 fof(f1931,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f610])). 63.96/63.91 fof(f1988,plain,( 63.96/63.91 ( ! [X0,X1] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),X1)) | X0 = X1 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f1072])). 63.96/63.91 fof(f1998,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,X0) != hAPP(c_Nat_OSuc,X1) | X0 = X1) )), 63.96/63.91 inference(cnf_transformation,[],[f1085])). 63.96/63.91 fof(f2008,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0) != X1 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(cnf_transformation,[],[f1096])). 63.96/63.91 fof(f2032,plain,( 63.96/63.91 ( ! [X0,X1] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X0)),X1)) | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f1593])). 63.96/63.91 fof(f2074,plain,( 63.96/63.91 ( ! [X0,X1] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),hAPP(c_Nat_OSuc,X0))) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 | hAPP(c_Nat_OSuc,sK24(X0,X1)) = X1) )), 63.96/63.91 inference(cnf_transformation,[],[f1622])). 63.96/63.91 fof(f2096,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),sK28(X0,X1)) = X0 | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0))) )), 63.96/63.91 inference(cnf_transformation,[],[f1641])). 63.96/63.91 fof(f2205,plain,( 63.96/63.91 ( ! [X2,X0,X1] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X1),X0))) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2),X1))) )), 63.96/63.91 inference(cnf_transformation,[],[f1244])). 63.96/63.91 fof(f2521,plain,( 63.96/63.91 ( ! [X4,X2,X0,X5,X3,X1] : (hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(c_COMBB(X5,X4,X3,X2),X1),X0)) )), 63.96/63.91 inference(cnf_transformation,[],[f976])). 63.96/63.91 fof(f2524,plain,( 63.96/63.91 ( ! [X4,X2,X0,X5,X3,X1] : (hAPP(hAPP(X2,X0),hAPP(X1,X0)) = hAPP(c_COMBS(X5,X4,X3,X2,X1),X0)) )), 63.96/63.91 inference(cnf_transformation,[],[f979])). 63.96/63.91 fof(f2729,plain,( 63.96/63.91 ( ! [X0,X1] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X0),X1))) )), 63.96/63.91 inference(forward_demodulation,[],[f2032,f1864])). 63.96/63.91 fof(f2764,plain,( 63.96/63.91 hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat))), 63.96/63.91 inference(superposition,[],[f1864,f1815])). 63.96/63.91 fof(f2769,plain,( 63.96/63.91 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Nat_OSuc,X0)))) )), 63.96/63.91 inference(backward_demodulation,[],[f2764,f1865])). 63.96/63.91 fof(f2770,plain,( 63.96/63.91 ( ! [X0] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(backward_demodulation,[],[f2764,f1882])). 63.96/63.91 fof(f2772,plain,( 63.96/63.91 ( ! [X0] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) | hAPP(c_Nat_OSuc,sK11(X0)) = X0) )), 63.96/63.91 inference(backward_demodulation,[],[f2764,f1894])). 63.96/63.91 fof(f2947,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,sK11(X0)) = X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(resolution,[],[f2772,f2770])). 63.96/63.91 fof(f2951,plain,( 63.96/63.91 ( ! [X1] : (hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | hAPP(c_Nat_OSuc,sK11(X1)) = X1) )), 63.96/63.91 inference(resolution,[],[f2772,f2729])). 63.96/63.91 fof(f2991,plain,( 63.96/63.91 ( ! [X4,X5] : (hAPP(c_Nat_OSuc,X5) != X4 | sK11(X4) = X5 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X4) )), 63.96/63.91 inference(superposition,[],[f1998,f2947])). 63.96/63.91 fof(f3261,plain,( 63.96/63.91 ( ! [X12] : (hAPP(c_Nat_OSuc,X12) = c_Groups_Oone__class_Oone(tc_Nat_Onat) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(c_Nat_OSuc,X12)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )), 63.96/63.91 inference(resolution,[],[f1988,f2769])). 63.96/63.91 fof(f3273,plain,( 63.96/63.91 ( ! [X12] : (~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),X12),c_Groups_Oone__class_Oone(tc_Nat_Onat))) | hAPP(c_Nat_OSuc,X12) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )), 63.96/63.91 inference(forward_demodulation,[],[f3261,f1864])). 63.96/63.91 fof(f3362,plain,( 63.96/63.91 ( ! [X0] : (sK11(hAPP(c_Nat_OSuc,X0)) = X0 | hAPP(c_Nat_OSuc,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 63.96/63.91 inference(equality_resolution,[],[f2991])). 63.96/63.91 fof(f3363,plain,( 63.96/63.91 ( ! [X0] : (sK11(hAPP(c_Nat_OSuc,X0)) = X0) )), 63.96/63.91 inference(subsumption_resolution,[],[f3362,f1846])). 63.96/63.91 fof(f3809,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,sK11(X0)) = X0 | hAPP(c_Nat_OSuc,X0) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )), 63.96/63.91 inference(resolution,[],[f3273,f2951])). 63.96/63.91 fof(f3835,plain,( 63.96/63.91 ( ! [X4] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X4 | hAPP(c_Nat_OSuc,X4) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )), 63.96/63.91 inference(superposition,[],[f1846,f3809])). 63.96/63.91 fof(f4067,plain,( 63.96/63.91 ( ! [X121,X118,X116,X120,X119,X117] : (hAPP(hAPP(X118,X117),X117) = hAPP(c_COMBS(X119,X120,X121,X118,c_COMBI(X116)),X117)) )), 63.96/63.91 inference(superposition,[],[f2524,f1912])). 63.96/63.91 fof(f4145,plain,( 63.96/63.91 ( ! [X24,X25] : (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X24),X25)) != X24 | hAPP(c_Nat_OSuc,X25) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )), 63.96/63.91 inference(superposition,[],[f2008,f1931])). 63.96/63.91 fof(f4160,plain,( 63.96/63.91 ( ! [X24,X25] : (hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),X24),X25)) != X24) )), 63.96/63.91 inference(subsumption_resolution,[],[f4145,f1846])). 63.96/63.91 fof(f4168,plain,( 63.96/63.91 ( ! [X10,X11] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X10),X11)) | hAPP(c_Nat_OSuc,X11) != X10) )), 63.96/63.91 inference(superposition,[],[f4160,f2096])). 63.96/63.91 fof(f4351,plain,( 63.96/63.91 ( ! [X0,X1] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),X0)) | ~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )), 63.96/63.91 inference(superposition,[],[f2205,f1862])). 63.96/63.91 fof(f5064,plain,( 63.96/63.91 ( ! [X2,X1] : (~hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hAPP(c_Nat_OSuc,X2) != X1) )), 63.96/63.91 inference(resolution,[],[f4351,f4168])). 63.96/63.91 fof(f5124,plain,( 63.96/63.91 ( ! [X24,X25] : (hAPP(c_Nat_OSuc,X24) != X25 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X25))) )), 63.96/63.91 inference(resolution,[],[f5064,f2729])). 63.96/63.91 fof(f5129,plain,( 63.96/63.91 ( ! [X24,X25] : (hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X25)) | hAPP(c_Nat_OSuc,X24) != X25) )), 63.96/63.91 inference(forward_demodulation,[],[f5124,f2764])). 63.96/63.91 fof(f5184,plain,( 63.96/63.91 ( ! [X0,X1] : (hAPP(c_Nat_OSuc,X0) != X1 | hAPP(c_Nat_OSuc,sK11(X1)) = X1) )), 63.96/63.91 inference(resolution,[],[f5129,f2772])). 63.96/63.91 fof(f5185,plain,( 63.96/63.91 ( ! [X2,X3] : (hAPP(c_Nat_OSuc,X3) != c_Groups_Oone__class_Oone(tc_Nat_Onat) | hAPP(c_Nat_OSuc,X2) != X3) )), 63.96/63.91 inference(resolution,[],[f5129,f4168])). 63.96/63.91 fof(f5352,plain,( 63.96/63.91 ( ! [X6,X5] : (hAPP(c_Nat_OSuc,sK11(X6)) = X6 | X5 != X6 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X5) )), 63.96/63.91 inference(superposition,[],[f5184,f2947])). 63.96/63.91 fof(f5795,plain,( 63.96/63.91 ( ! [X10,X9] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X9 | X9 != X10 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X10) )), 63.96/63.91 inference(superposition,[],[f1846,f5352])). 63.96/63.91 fof(f5877,plain,( 63.96/63.91 ( ! [X0] : (hAPP(c_Nat_OSuc,sK24(X0,X0)) = X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(resolution,[],[f2074,f1863])). 63.96/63.91 fof(f5906,plain,( 63.96/63.91 ( ! [X0] : (sK24(X0,X0) != X0 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0) )), 63.96/63.91 inference(superposition,[],[f1842,f5877])). 63.96/63.91 fof(f5932,plain,( 63.96/63.91 ( ! [X41,X40] : (X40 != X41 | sK11(X41) = sK24(X40,X40) | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X41 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X40) )), 63.96/63.91 inference(superposition,[],[f2991,f5877])). 63.96/63.91 fof(f5973,plain,( 63.96/63.91 ( ! [X41,X40] : (sK11(X41) = sK24(X40,X40) | X40 != X41 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X40) )), 63.96/63.91 inference(subsumption_resolution,[],[f5932,f5795])). 63.96/63.91 fof(f6877,plain,( 63.96/63.91 ( ! [X2,X3] : (sK11(X3) != X2 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2 | X2 != X3 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2) )), 63.96/63.91 inference(superposition,[],[f5906,f5973])). 63.96/63.91 fof(f6901,plain,( 63.96/63.91 ( ! [X2,X3] : (sK11(X3) != X2 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X2 | X2 != X3) )), 63.96/63.91 inference(duplicate_literal_removal,[],[f6877])). 63.96/63.91 fof(f6925,plain,( 63.96/63.91 ( ! [X4,X3] : (X3 != X4 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X4 | hAPP(c_Nat_OSuc,X3) != X4) )), 63.96/63.91 inference(superposition,[],[f6901,f3363])). 63.96/63.91 fof(f6929,plain,( 63.96/63.91 ( ! [X4,X3] : (hAPP(c_Nat_OSuc,X3) != X4 | X3 != X4) )), 63.96/63.91 inference(global_subsumption,[],[f3835,f5185,f6925])). 63.96/63.91 fof(f21927,plain,( 63.96/63.91 $false), 63.96/63.91 inference(unit_resulting_resolution,[],[f2521,f4067,f6929])). 63.96/63.91 % SZS output end Proof for theBenchmark 63.96/63.91 % ------------------------------ 63.96/63.91 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 63.96/63.91 % Termination reason: Refutation 63.96/63.91 63.96/63.91 % Memory used [KB]: 42856 63.96/63.91 % Time elapsed: 1.840 s 63.96/63.91 % ------------------------------ 63.96/63.91 % ------------------------------ 64.07/63.91 % Success in time 63.68 s 64.07/63.92 EOF