0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_vampire %s %d 0.14/0.34 % Computer : n005.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Thu Jul 2 08:26:36 EDT 2020 0.14/0.34 % CPUTime : 0.22/0.52 % (11287)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark 0.22/0.53 % (11279)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark 0.22/0.53 % (11271)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.22/0.53 % (11269)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.22/0.53 % (11268)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark 0.22/0.53 % (11266)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.22/0.54 % (11273)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark 0.22/0.54 % (11285)dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 0.22/0.54 % (11277)dis+1010_2:3_add=off:afr=on:afp=10000:afq=1.1:anc=none:fsr=off:gs=on:gsem=off:nwc=1:sas=z3:sos=all:sac=on:sp=reverse_arity:tha=off_5 on theBenchmark 0.22/0.54 % (11265)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.22/0.55 % (11267)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.22/0.55 % (11270)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.22/0.55 % (11288)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark 0.22/0.55 % (11282)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark 0.22/0.55 % (11280)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark 0.22/0.55 % (11292)dis+10_6_afr=on:afp=1000:afq=1.2:anc=none:bsr=on:fsr=off:gs=on:lcm=reverse:nm=64:newcnf=on:nwc=1.7:sas=z3:tha=off_4 on theBenchmark 0.22/0.55 % (11290)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark 0.22/0.55 % (11283)WARNING: option uwaf not known. 0.22/0.56 % (11283)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark 0.22/0.56 % (11275)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.22/0.56 % (11276)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark 0.22/0.56 % (11291)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark 0.22/0.56 % (11293)lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 0.22/0.56 % (11289)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark 0.22/0.57 % (11278)dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 0.22/0.57 % (11286)dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 0.22/0.57 % (11294)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark 0.22/0.57 % (11274)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 0.22/0.57 % (11284)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 0.22/0.57 % (11272)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark 0.22/0.57 % (11281)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark 4.28/0.93 % (11294)Time limit reached! 4.28/0.93 % (11294)------------------------------ 4.28/0.93 % (11294)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.28/0.94 % (11286)Time limit reached! 4.28/0.94 % (11286)------------------------------ 4.28/0.94 % (11286)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.28/0.95 % (11286)Termination reason: Time limit 4.28/0.95 % (11294)Termination reason: Time limit 4.28/0.95 % (11294)Termination phase: Saturation 4.28/0.95 4.28/0.95 % (11294)Memory used [KB]: 15991 4.28/0.95 % (11294)Time elapsed: 0.500 s 4.28/0.95 % (11294)------------------------------ 4.28/0.95 % (11294)------------------------------ 4.28/0.95 4.28/0.95 % (11286)Memory used [KB]: 15991 4.28/0.95 % (11286)Time elapsed: 0.520 s 4.28/0.95 % (11286)------------------------------ 4.28/0.95 % (11286)------------------------------ 4.28/0.99 % (11275)Time limit reached! 4.28/0.99 % (11275)------------------------------ 4.28/0.99 % (11275)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 4.28/0.99 % (11275)Termination reason: Time limit 4.28/0.99 4.28/0.99 % (11275)Memory used [KB]: 6652 4.28/0.99 % (11275)Time elapsed: 0.521 s 4.28/0.99 % (11275)------------------------------ 4.28/0.99 % (11275)------------------------------ 5.00/1.02 % (11291)Time limit reached! 5.00/1.02 % (11291)------------------------------ 5.00/1.02 % (11291)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.00/1.02 % (11281)Time limit reached! 5.00/1.02 % (11281)------------------------------ 5.00/1.02 % (11281)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.00/1.03 % (11281)Termination reason: Time limit 5.00/1.03 5.00/1.03 % (11281)Memory used [KB]: 7547 5.00/1.03 % (11281)Time elapsed: 0.611 s 5.00/1.03 % (11281)------------------------------ 5.00/1.03 % (11281)------------------------------ 5.00/1.03 % (11291)Termination reason: Time limit 5.00/1.03 % (11291)Termination phase: Saturation 5.00/1.03 5.00/1.03 % (11291)Memory used [KB]: 16886 5.00/1.03 % (11291)Time elapsed: 0.600 s 5.00/1.03 % (11291)------------------------------ 5.00/1.03 % (11291)------------------------------ 5.00/1.05 % (11271)Time limit reached! 5.00/1.05 % (11271)------------------------------ 5.00/1.05 % (11271)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 5.00/1.05 % (11271)Termination reason: Time limit 5.00/1.05 5.00/1.05 % (11271)Memory used [KB]: 8187 5.00/1.05 % (11271)Time elapsed: 0.619 s 5.00/1.05 % (11271)------------------------------ 5.00/1.05 % (11271)------------------------------ 5.00/1.06 % (11492)lrs-11_3:1_awrs=converge:awrsf=1:av=off:bce=on:cond=fast:fde=none:gs=on:gsem=off:lwlo=on:nm=16:newcnf=on:nwc=2:stl=90:s2a=on:sos=theory:sp=weighted_frequency:tha=some:uwa=one_side_constant:urr=on:updr=off:uhcvi=on_234 on theBenchmark 5.00/1.08 % (11493)dis-1_2:1_afr=on:afp=10000:afq=2.0:anc=none:cond=on:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:irw=on:lcm=predicate:lma=on:nm=32:nwc=1:sas=z3:sos=all:sp=reverse_arity:tha=off:uwa=ground_4 on theBenchmark 5.52/1.13 % (11518)WARNING: option uwaf not known. 5.52/1.13 % (11518)lrs+10_4:1_av=off:bd=off:bsr=on:cond=on:fde=unused:inw=on:lcm=reverse:lma=on:lwlo=on:nm=64:nwc=5:stl=90:sp=reverse_arity:thi=strong:uwa=ground:updr=off:uwaf=on_359 on theBenchmark 5.52/1.14 % (11533)dis+11_3_afp=100000:afq=2.0:amm=sco:anc=none:gs=on:gsem=off:inw=on:lma=on:nm=64:nwc=1:sas=z3:sd=10:ss=axioms:st=5.0:sp=occurrence:tha=off:updr=off_202 on theBenchmark 5.52/1.17 % (11536)ott+1004_5_av=off:bd=off:bs=on:cond=on:fde=none:lma=on:nm=64:nwc=1:sos=on:sp=reverse_arity:tha=off:thi=strong:uwa=one_side_constant_143 on theBenchmark 5.52/1.17 % (11535)lrs-11_4_awrs=decay:awrsf=64:afp=1000:afq=2.0:amm=off:anc=none:br=off:cond=on:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:nm=32:nwc=1.1:stl=30:s2a=on:sos=theory:sac=on:sp=frequency:tha=some:thi=new:urr=on:uhcvi=on_6 on theBenchmark 6.67/1.23 % (11292)Time limit reached! 6.67/1.23 % (11292)------------------------------ 6.67/1.23 % (11292)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 6.67/1.24 % (11292)Termination reason: Time limit 6.67/1.24 % (11292)Termination phase: Saturation 6.67/1.24 6.67/1.24 % (11292)Memory used [KB]: 7419 6.67/1.24 % (11292)Time elapsed: 0.800 s 6.67/1.24 % (11292)------------------------------ 6.67/1.24 % (11292)------------------------------ 7.30/1.36 % (11277)Time limit reached! 7.30/1.36 % (11277)------------------------------ 7.30/1.36 % (11277)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.30/1.36 % (11277)Termination reason: Time limit 7.30/1.36 7.30/1.36 % (11277)Memory used [KB]: 8955 7.30/1.36 % (11277)Time elapsed: 0.919 s 7.30/1.36 % (11277)------------------------------ 7.30/1.36 % (11277)------------------------------ 7.30/1.37 % (11285)Time limit reached! 7.30/1.37 % (11285)------------------------------ 7.30/1.37 % (11285)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.30/1.37 % (11285)Termination reason: Time limit 7.30/1.37 7.30/1.37 % (11285)Memory used [KB]: 7803 7.30/1.37 % (11285)Time elapsed: 0.939 s 7.30/1.37 % (11285)------------------------------ 7.30/1.37 % (11285)------------------------------ 7.91/1.38 % (11537)lrs+1011_7_aac=none:add=large:afr=on:afp=40000:afq=1.4:bd=off:bs=on:bsr=on:fsr=off:inw=on:lma=on:nm=64:nwc=2:nicw=on:sas=z3:stl=60:sos=all:sp=reverse_arity:tha=off:updr=off:uhcvi=on_541 on theBenchmark 7.91/1.43 % (11278)Time limit reached! 7.91/1.43 % (11278)------------------------------ 7.91/1.43 % (11278)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.91/1.44 % (11282)Refutation found. Thanks to Tanya! 7.91/1.44 % SZS status Theorem for theBenchmark 7.91/1.44 % (11278)Termination reason: Time limit 7.91/1.44 7.91/1.44 % (11278)Memory used [KB]: 6652 7.91/1.44 % (11278)Time elapsed: 1.018 s 7.91/1.44 % (11278)------------------------------ 7.91/1.44 % (11278)------------------------------ 7.91/1.44 % SZS output start Proof for theBenchmark 7.91/1.44 tff(type_def_5, type, uni: $tType). 7.91/1.44 tff(type_def_6, type, ty: $tType). 7.91/1.44 tff(type_def_7, type, bool1: $tType). 7.91/1.44 tff(type_def_8, type, tuple02: $tType). 7.91/1.44 tff(type_def_9, type, set_int: $tType). 7.91/1.44 tff(type_def_10, type, map_int_int: $tType). 7.91/1.44 tff(type_def_11, type, map_int_lpmap_int_intrp: $tType). 7.91/1.44 tff(func_def_0, type, witness1: ty > uni). 7.91/1.44 tff(func_def_1, type, int: ty). 7.91/1.44 tff(func_def_2, type, real: ty). 7.91/1.44 tff(func_def_3, type, bool: ty). 7.91/1.44 tff(func_def_4, type, true1: bool1). 7.91/1.44 tff(func_def_5, type, false1: bool1). 7.91/1.44 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 7.91/1.44 tff(func_def_7, type, tuple0: ty). 7.91/1.44 tff(func_def_8, type, tuple03: tuple02). 7.91/1.44 tff(func_def_9, type, qtmark: ty). 7.91/1.44 tff(func_def_10, type, set: ty > ty). 7.91/1.44 tff(func_def_11, type, empty: ty > uni). 7.91/1.44 tff(func_def_12, type, add: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_13, type, remove: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_14, type, union: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_15, type, inter: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_16, type, diff: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_17, type, choose: (ty * uni) > uni). 7.91/1.44 tff(func_def_18, type, cardinal1: (ty * uni) > $int). 7.91/1.44 tff(func_def_19, type, min_elt1: set_int > $int). 7.91/1.44 tff(func_def_20, type, t2tb: set_int > uni). 7.91/1.44 tff(func_def_21, type, tb2t: uni > set_int). 7.91/1.44 tff(func_def_22, type, t2tb1: $int > uni). 7.91/1.44 tff(func_def_23, type, tb2t1: uni > $int). 7.91/1.44 tff(func_def_24, type, max_elt1: set_int > $int). 7.91/1.44 tff(func_def_25, type, below1: $int > set_int). 7.91/1.44 tff(func_def_26, type, succ1: set_int > set_int). 7.91/1.44 tff(func_def_27, type, pred1: set_int > set_int). 7.91/1.44 tff(func_def_28, type, ref: ty > ty). 7.91/1.44 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 7.91/1.44 tff(func_def_30, type, contents: (ty * uni) > uni). 7.91/1.44 tff(func_def_31, type, map: (ty * ty) > ty). 7.91/1.44 tff(func_def_32, type, get: (ty * ty * uni * uni) > uni). 7.91/1.44 tff(func_def_33, type, set1: (ty * ty * uni * uni * uni) > uni). 7.91/1.44 tff(func_def_34, type, const: (ty * ty * uni) > uni). 7.91/1.44 tff(func_def_35, type, n1: $int). 7.91/1.44 tff(func_def_36, type, t2tb2: map_int_int > uni). 7.91/1.44 tff(func_def_37, type, tb2t2: uni > map_int_int). 7.91/1.44 tff(func_def_38, type, t2tb3: map_int_lpmap_int_intrp > uni). 7.91/1.44 tff(func_def_39, type, tb2t3: uni > map_int_lpmap_int_intrp). 7.91/1.44 tff(func_def_46, type, sK0: set_int). 7.91/1.44 tff(func_def_47, type, sK1: set_int). 7.91/1.44 tff(func_def_48, type, sK2: set_int). 7.91/1.44 tff(func_def_49, type, sK3: $int). 7.91/1.44 tff(func_def_50, type, sK4: map_int_lpmap_int_intrp). 7.91/1.44 tff(func_def_51, type, sK5: $int). 7.91/1.44 tff(func_def_52, type, sK6: map_int_int). 7.91/1.44 tff(func_def_53, type, sK7: $int). 7.91/1.44 tff(func_def_54, type, sK8: set_int). 7.91/1.44 tff(func_def_55, type, sK9: $int). 7.91/1.44 tff(func_def_56, type, sK10: map_int_lpmap_int_intrp). 7.91/1.44 tff(func_def_57, type, sK11: $int). 7.91/1.44 tff(func_def_58, type, sK12: map_int_int). 7.91/1.44 tff(func_def_59, type, sK13: map_int_int). 7.91/1.44 tff(func_def_60, type, sK14: $int). 7.91/1.44 tff(func_def_61, type, sK15: $int). 7.91/1.44 tff(func_def_62, type, sK16: $int). 7.91/1.44 tff(func_def_63, type, sK17: map_int_int > $int). 7.91/1.44 tff(func_def_64, type, sK18: $int > $int). 7.91/1.44 tff(func_def_65, type, sK19: $int > $int). 7.91/1.44 tff(func_def_66, type, sK20: $int > $int). 7.91/1.44 tff(func_def_67, type, sK21: (ty * uni) > uni). 7.91/1.44 tff(func_def_68, type, sK22: ($int * map_int_int) > $int). 7.91/1.44 tff(func_def_69, type, sK23: ($int * map_int_int) > $int). 7.91/1.44 tff(func_def_70, type, sK24: (map_int_int * map_int_int) > $int). 7.91/1.44 tff(func_def_71, type, sK25: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_72, type, sK26: (ty * uni * uni) > uni). 7.91/1.44 tff(func_def_73, type, sK27: (map_int_lpmap_int_intrp * $int * $int) > $int). 7.91/1.44 tff(func_def_74, type, sK28: (map_int_lpmap_int_intrp * $int * $int) > $int). 7.91/1.44 tff(func_def_75, type, sK29: (ty * uni * uni * $int) > $int). 7.91/1.44 tff(pred_def_1, type, sort1: (ty * uni) > $o). 7.91/1.44 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 7.91/1.44 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 7.91/1.44 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 7.91/1.44 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 7.91/1.44 tff(pred_def_6, type, eq_prefix1: (ty * uni * uni * $int) > $o). 7.91/1.44 tff(pred_def_7, type, partial_solution1: ($int * map_int_int) > $o). 7.91/1.44 tff(pred_def_8, type, lt_sol1: (map_int_int * map_int_int) > $o). 7.91/1.44 tff(pred_def_9, type, sorted1: (map_int_lpmap_int_intrp * $int * $int) > $o). 7.91/1.44 tff(f3239,plain,( 7.91/1.44 $false), 7.91/1.44 inference(avatar_sat_refutation,[],[f501,f506,f511,f517,f522,f527,f532,f538,f544,f551,f556,f567,f572,f577,f584,f599,f604,f609,f625,f649,f657,f664,f674,f685,f690,f695,f710,f715,f722,f730,f742,f747,f767,f778,f791,f800,f811,f817,f824,f837,f839,f842,f854,f855,f867,f893,f921,f927,f956,f967,f972,f983,f1007,f1019,f1026,f1027,f1028,f1034,f1046,f1048,f1049,f1056,f1061,f1071,f1079,f1085,f1090,f1099,f1104,f1110,f1115,f1119,f1127,f1155,f1164,f1256,f1304,f1420,f1437,f1466,f1495,f1500,f1525,f1529,f1550,f1559,f1563,f1875,f1879,f1942,f1998,f2014,f2069,f2104,f2106,f2170,f2232,f2252,f2257,f2263,f2318,f2366,f2373,f2378,f2383,f2388,f2390,f2441,f2508,f2529,f2533,f2703,f2709,f2889,f2905,f2967,f3030,f3040,f3099,f3128,f3155,f3160,f3183,f3192,f3193,f3194,f3221,f3231,f3235,f3238])). 7.91/1.44 tff(f3238,plain,( 7.91/1.44 ~spl30_105 | ~spl30_11 | ~spl30_143), 7.91/1.44 inference(avatar_split_clause,[],[f3237,f3233,f553,f2066])). 7.91/1.44 tff(f2066,plain,( 7.91/1.44 spl30_105 <=> $less(sK16,sK5)), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_105])])). 7.91/1.44 tff(f553,plain,( 7.91/1.44 spl30_11 <=> eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5)), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_11])])). 7.91/1.44 tff(f3233,plain,( 7.91/1.44 spl30_143 <=> ! [X3 : $int] : (~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3))), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 7.91/1.44 tff(f3237,plain,( 7.91/1.44 ~$less(sK16,sK5) | (~spl30_11 | ~spl30_143)), 7.91/1.44 inference(resolution,[],[f3234,f555])). 7.91/1.44 tff(f555,plain,( 7.91/1.44 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | ~spl30_11), 7.91/1.44 inference(avatar_component_clause,[],[f553])). 7.91/1.44 tff(f3234,plain,( 7.91/1.44 ( ! [X3:$int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3) | ~$less(sK16,X3)) ) | ~spl30_143), 7.91/1.44 inference(avatar_component_clause,[],[f3233])). 7.91/1.44 tff(f3235,plain,( 7.91/1.44 spl30_143 | ~spl30_105 | spl30_8 | ~spl30_48 | ~spl30_110), 7.91/1.44 inference(avatar_split_clause,[],[f3167,f2167,f834,f535,f2066,f3233])). 7.91/1.44 tff(f535,plain,( 7.91/1.44 spl30_8 <=> $less(sK16,0)), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_8])])). 7.91/1.44 tff(f834,plain,( 7.91/1.44 spl30_48 <=> mem(int,t2tb1(sK15),t2tb(sK0))), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 7.91/1.44 tff(f2167,plain,( 7.91/1.44 spl30_110 <=> t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16))), 7.91/1.44 introduced(avatar_definition,[new_symbols(naming,[spl30_110])])). 7.91/1.44 tff(f3167,plain,( 7.91/1.44 ( ! [X3:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3)) ) | ~spl30_110), 7.91/1.44 inference(superposition,[],[f935,f2169])). 7.91/1.44 tff(f2169,plain,( 7.91/1.44 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | ~spl30_110), 7.91/1.44 inference(avatar_component_clause,[],[f2167])). 7.91/1.44 tff(f935,plain,( 7.91/1.44 ( ! [X2:$int,X0:$int,X1:uni] : (~mem(int,get(int,int,X1,t2tb1(X0)),t2tb(sK0)) | $less(X0,0) | ~$less(X0,sK5) | ~$less(X0,X2) | ~eq_prefix1(int,t2tb2(sK6),X1,X2)) )), 7.91/1.44 inference(duplicate_literal_removal,[],[f932])). 7.91/1.44 tff(f932,plain,( 7.91/1.44 ( ! [X2:$int,X0:$int,X1:uni] : (~mem(int,get(int,int,X1,t2tb1(X0)),t2tb(sK0)) | $less(X0,0) | ~$less(X0,sK5) | ~$less(X0,X2) | $less(X0,0) | ~eq_prefix1(int,t2tb2(sK6),X1,X2)) )), 7.91/1.44 inference(superposition,[],[f804,f429])). 7.91/1.44 tff(f429,plain,( 7.91/1.44 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0) | ~eq_prefix1(X0,X1,X2,X3)) )), 7.91/1.44 inference(cnf_transformation,[],[f269])). 7.91/1.44 tff(f269,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | (get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0))))), 7.91/1.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f267,f268])). 7.91/1.44 tff(f268,plain,( 7.91/1.44 ! [X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X5 : $int] : (get(X0,int,X2,t2tb1(X5)) != get(X0,int,X1,t2tb1(X5)) & $less(X5,X3) & ~$less(X5,0)) => (get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f267,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X5 : $int] : (get(X0,int,X2,t2tb1(X5)) != get(X0,int,X1,t2tb1(X5)) & $less(X5,X3) & ~$less(X5,0))))), 7.91/1.44 inference(rectify,[],[f266])). 7.91/1.44 tff(f266,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) != get(X0,int,X1,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))))), 7.91/1.44 inference(nnf_transformation,[],[f209])). 7.91/1.44 tff(f209,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) <=> eq_prefix1(X0,X1,X2,X3))), 7.91/1.44 inference(flattening,[],[f208])). 7.91/1.44 tff(f208,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4)) | (~$less(X4,X3) | $less(X4,0))) <=> eq_prefix1(X0,X1,X2,X3))), 7.91/1.44 inference(ennf_transformation,[],[f162])). 7.91/1.44 tff(f162,plain,( 7.91/1.44 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,0)) => get(X0,int,X2,t2tb1(X4)) = get(X0,int,X1,t2tb1(X4))) <=> eq_prefix1(X0,X1,X2,X3))), 7.91/1.44 inference(rectify,[],[f92])). 7.91/1.44 tff(f92,plain,( 7.91/1.44 ! [X2 : ty,X14 : uni,X12 : uni,X6 : $int] : (! [X15 : $int] : (($less(X15,X6) & ~$less(X15,0)) => get(X2,int,X12,t2tb1(X15)) = get(X2,int,X14,t2tb1(X15))) <=> eq_prefix1(X2,X14,X12,X6))), 7.91/1.44 inference(theory_normalization,[],[f41])). 7.91/1.44 tff(f41,axiom,( 7.91/1.44 ! [X2 : ty,X14 : uni,X12 : uni,X6 : $int] : (! [X15 : $int] : (($less(X15,X6) & $lesseq(0,X15)) => get(X2,int,X12,t2tb1(X15)) = get(X2,int,X14,t2tb1(X15))) <=> eq_prefix1(X2,X14,X12,X6))), 7.91/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq_prefix_def)). 7.91/1.44 tff(f804,plain,( 7.91/1.44 ( ! [X0:$int] : (~mem(int,get(int,int,t2tb2(sK6),t2tb1(X0)),t2tb(sK0)) | $less(X0,0) | ~$less(X0,sK5)) )), 7.91/1.44 inference(equality_resolution,[],[f496])). 7.91/1.44 tff(f496,plain,( 7.91/1.44 ( ! [X30:$int,X31:$int] : (sK5 != X31 | $less(X30,0) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X30)),t2tb(sK0)) | ~$less(X30,X31)) )), 7.91/1.44 inference(forward_demodulation,[],[f460,f323])). 7.91/1.44 tff(f323,plain,( 7.91/1.44 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 7.91/1.44 inference(cnf_transformation,[],[f105])). 7.91/1.44 tff(f105,plain,( 7.91/1.44 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 7.91/1.44 inference(rectify,[],[f47])). 7.91/1.44 tff(f47,axiom,( 7.91/1.44 ! [X16 : uni] : t2tb1(tb2t1(X16)) = X16), 7.91/1.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 7.91/1.44 tff(f460,plain,( 7.91/1.44 ( ! [X30:$int,X31:$int] : ($less(X30,0) | sK5 != X31 | ~$less(X30,X31) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30)))),t2tb(sK0))) )), 7.91/1.44 inference(theory_flattening,[],[f433])). 7.91/1.44 tff(f433,plain,( 7.91/1.44 ( ! [X30:$int] : ($less(X30,0) | ~$less(X30,sK5) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30)))),t2tb(sK0))) )), 7.91/1.44 inference(equality_resolution,[],[f273])). 7.91/1.44 tff(f273,plain,( 7.91/1.44 ( ! [X30:$int,X28:$int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 7.91/1.44 inference(cnf_transformation,[],[f227])). 7.91/1.44 tff(f227,plain,( 7.91/1.44 (((((sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) & ~$less(sK16,0) & $less(sK16,sK14)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = sK14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13) & ~is_empty(int,t2tb(sK8)) & partial_solution1(sK11,sK12) & ! [X17 : map_int_int] : (((~$less(sK17(X17),sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) & $less(sK17(X17),sK9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) & eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X19)),n1) | ~$less(X19,sK9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(sK8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) & sorted1(sK10,sK3,sK9) & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = sK11 & ~$less($sum(sK9,$uminus(sK3)),0) & sK7 = $sum(sK9,$uminus(sK3))) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(sK1)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK18(X22)))) = $sum($sum(X22,sK18(X22)),$uminus(sK5)) & ~$less(sK18(X22),0) & $less(sK18(X22),sK5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(sK5)) | $less(X24,0) | ~$less(X24,sK5)) | mem(int,t2tb1(X22),t2tb(sK1)))) | $less(X22,0)) & partial_solution1(sK5,sK6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,sK5),$uminus(X26)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK2))) & (~mem(int,t2tb1(X25),t2tb(sK2)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK19(X25)))) = $sum($sum(X25,sK5),$uminus(sK19(X25))) & ~$less(sK19(X25),0) & $less(sK19(X25),sK5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK20(X28)))) = X28 & ~$less(sK20(X28),0) & $less(sK20(X28),sK5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(sK0)))) & ~$less(sK3,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 7.91/1.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f216,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217])). 7.91/1.44 tff(f217,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & sorted1(X10,X3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X11 & ~$less($sum(X9,$uminus(X3)),0) & $sum(X9,$uminus(X3)) = X7) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(X1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(X5)) & ~$less(X23,0) & $less(X23,X5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(X5)) | $less(X24,0) | ~$less(X24,X5)) | mem(int,t2tb1(X22),t2tb(X1)))) | $less(X22,0)) & partial_solution1(X5,X6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X5),$uminus(X26)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X2))) & (~mem(int,t2tb1(X25),t2tb(X2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X5),$uminus(X27)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(X0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,X5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,X5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))) => (? [X12 : map_int_int,X11 : $int,X10 : map_int_lpmap_int_intrp,X9 : $int,X8 : set_int,X7 : $int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(sK0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(X10),sK3) & ! [X21 : $int,X20 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) & sorted1(X10,sK3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = X11 & ~$less($sum(X9,$uminus(sK3)),0) & $sum(X9,$uminus(sK3)) = X7) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(sK1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(sK5)) & ~$less(X23,0) & $less(X23,sK5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(sK5)) | $less(X24,0) | ~$less(X24,sK5)) | mem(int,t2tb1(X22),t2tb(sK1)))) | $less(X22,0)) & partial_solution1(sK5,sK6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,sK5),$uminus(X26)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK2))) & (~mem(int,t2tb1(X25),t2tb(sK2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X27))) = $sum($sum(X25,sK5),$uminus(X27)) & ~$less(X27,0) & $less(X27,sK5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,sK5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(sK0)))) & ~$less(sK3,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0))))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f218,plain,( 7.91/1.44 ? [X12 : map_int_int,X11 : $int,X10 : map_int_lpmap_int_intrp,X9 : $int,X8 : set_int,X7 : $int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(sK0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(X10),sK3) & ! [X21 : $int,X20 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) & sorted1(X10,sK3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = X11 & ~$less($sum(X9,$uminus(sK3)),0) & $sum(X9,$uminus(sK3)) = X7) => (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = X13) & ~is_empty(int,t2tb(sK8)) & partial_solution1(sK11,sK12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X18)),n1) & $less(X18,sK9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) & eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X19)),n1) | ~$less(X19,sK9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3) & ! [X21 : $int,X20 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(sK8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) & sorted1(sK10,sK3,sK9) & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = sK11 & ~$less($sum(sK9,$uminus(sK3)),0) & sK7 = $sum(sK9,$uminus(sK3)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f219,plain,( 7.91/1.44 ? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = X13) => (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13)), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f220,plain,( 7.91/1.44 ? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = X14) => (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,sK14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = sK14)), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f221,plain,( 7.91/1.44 ? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,sK14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) => (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 & ~$less(X16,0) & $less(X16,sK14)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f222,plain,( 7.91/1.44 ? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = sK15 & ~$less(X16,0) & $less(X16,sK14)) => (sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) & ~$less(sK16,0) & $less(sK16,sK14))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f223,plain,( 7.91/1.44 ! [X17 : map_int_int] : (? [X18 : $int] : (~$less(X18,sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X18)),n1) & $less(X18,sK9)) => (~$less(sK17(X17),sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) & $less(sK17(X17),sK9)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f224,plain,( 7.91/1.44 ! [X22 : $int] : (? [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(sK5)) & ~$less(X23,0) & $less(X23,sK5)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK18(X22)))) = $sum($sum(X22,sK18(X22)),$uminus(sK5)) & ~$less(sK18(X22),0) & $less(sK18(X22),sK5)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f225,plain,( 7.91/1.44 ! [X25 : $int] : (? [X27 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X27))) = $sum($sum(X25,sK5),$uminus(X27)) & ~$less(X27,0) & $less(X27,sK5)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK19(X25)))) = $sum($sum(X25,sK5),$uminus(sK19(X25))) & ~$less(sK19(X25),0) & $less(sK19(X25),sK5)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f226,plain,( 7.91/1.44 ! [X28 : $int] : (? [X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,sK5)) => (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK20(X28)))) = X28 & ~$less(sK20(X28),0) & $less(sK20(X28),sK5)))), 7.91/1.44 introduced(choice_axiom,[])). 7.91/1.44 tff(f216,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & sorted1(X10,X3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X11 & ~$less($sum(X9,$uminus(X3)),0) & $sum(X9,$uminus(X3)) = X7) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(X1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(X5)) & ~$less(X23,0) & $less(X23,X5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(X5)) | $less(X24,0) | ~$less(X24,X5)) | mem(int,t2tb1(X22),t2tb(X1)))) | $less(X22,0)) & partial_solution1(X5,X6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X5),$uminus(X26)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X2))) & (~mem(int,t2tb1(X25),t2tb(X2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X5),$uminus(X27)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(X0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,X5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,X5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 7.91/1.44 inference(rectify,[],[f215])). 7.91/1.44 tff(f215,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : ((? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) | ~partial_solution1(n1,X19)) & ((mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19)) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) | ~$less(X20,X15)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),t2tb(X1)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X5)) & ~$less(X8,0) & $less(X8,X5))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5)) | mem(int,t2tb1(X7),t2tb(X1)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X2))) & (~mem(int,t2tb1(X9),t2tb(X2)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X5),$uminus(X10)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & ! [X11 : $int] : ((mem(int,t2tb1(X11),t2tb(X0)) | ~$less(X11,n1) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = X11 & ~$less(X12,0) & $less(X12,X5)) | $less(X11,0)) & (($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0)) | ~mem(int,t2tb1(X11),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 7.91/1.44 inference(flattening,[],[f214])). 7.91/1.44 tff(f214,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : ((? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) | (~mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) | ~partial_solution1(n1,X19))) & ((mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19)) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) | ~$less(X20,X15)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),t2tb(X1)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X5)) & ~$less(X8,0) & $less(X8,X5))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5)) | mem(int,t2tb1(X7),t2tb(X1)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X2))) & (~mem(int,t2tb1(X9),t2tb(X2)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X5),$uminus(X10)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & ! [X11 : $int] : ((mem(int,t2tb1(X11),t2tb(X0)) | (~$less(X11,n1) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = X11 & ~$less(X12,0) & $less(X12,X5)) | $less(X11,0))) & (($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0)) | ~mem(int,t2tb1(X11),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 7.91/1.44 inference(nnf_transformation,[],[f167])). 7.91/1.44 tff(f167,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) <=> ~mem(int,t2tb1(X9),t2tb(X2))) | $less(X9,0)) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 7.91/1.44 inference(flattening,[],[f166])). 7.91/1.44 tff(f166,plain,( 7.91/1.44 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : ((? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & (~$less(X26,0) & $less(X26,X24))) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14))) & (partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : (($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14))) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13)) & ~is_empty(int,t2tb(X0))) & (~$less(X5,0) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | ($less(X8,0) | ~$less(X8,X5)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | ($less(X10,0) | ~$less(X10,X5))) <=> ~mem(int,t2tb1(X9),t2tb(X2))) | $less(X9,0)) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | ($less(X12,0) | ~$less(X12,X5))) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))))), 7.91/1.44 inference(ennf_transformation,[],[f93])). 7.91/1.44 tff(f93,plain,( 7.91/1.44 ~! [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((~$less(X5,0) & ! [X7 : $int] : (~$less(X7,0) => (~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : ((~$less(X8,0) & $less(X8,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5))))) & partial_solution1(X5,X6) & ! [X9 : $int] : (~$less(X9,0) => (! [X10 : $int] : ((~$less(X10,0) & $less(X10,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10))) <=> ~mem(int,t2tb1(X9),t2tb(X2)))) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : ((~$less(X12,0) & $less(X12,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))) => (~is_empty(int,t2tb(X0)) => ! [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : ((partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : (mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) => (mem(int,t2tb1(X22),t2tb(X14)) => $less(X21,X22))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) => (~is_empty(int,t2tb(X14)) => ! [X23 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23 => ! [X24 : $int] : ($sum(X17,1) = X24 => ! [X25 : $int] : (mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0))) => ! [X26 : $int] : ((~$less(X26,0) & $less(X26,X24)) => tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) != X25))))))))), 7.91/1.44 inference(rectify,[],[f78])). 7.91/1.45 tff(f78,plain,( 7.91/1.45 ~! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : ((~$less(X15,0) & ! [X6 : $int] : (~$less(X6,0) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $sum($sum(X6,X16),$uminus(X15))))) & partial_solution1(X15,X19) & ! [X6 : $int] : (~$less(X6,0) => (! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $sum($sum(X6,X15),$uminus(X16))) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & ~$less(X6,0))) & ~$less(X0,0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : (~$less(X6,X0) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & ~$less($sum(X4,$uminus(X0)),0) & $sum(X4,$uminus(X0)) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 7.91/1.45 inference(theory_normalization,[],[f25])). 7.91/1.45 tff(f25,negated_conjecture,( 7.91/1.45 ~! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : (($lesseq(0,X15) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X16),X15)))) & partial_solution1(X15,X19) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X15),X16)) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & $lesseq(0,X6))) & $lesseq(0,X0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : ($lesseq(X0,X6) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & $lesseq(0,$difference(X4,X0)) & $difference(X4,X0) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 7.91/1.45 inference(negated_conjecture,[],[f24])). 7.91/1.45 tff(f24,conjecture,( 7.91/1.45 ! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : (($lesseq(0,X15) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X16),X15)))) & partial_solution1(X15,X19) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X15),X16)) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & $lesseq(0,X6))) & $lesseq(0,X0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : ($lesseq(X0,X6) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & $lesseq(0,$difference(X4,X0)) & $difference(X4,X0) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_t3)). 7.91/1.45 tff(f3231,plain,( 7.91/1.45 ~spl30_141 | ~spl30_142 | ~spl30_140), 7.91/1.45 inference(avatar_split_clause,[],[f3222,f3219,f3228,f3224])). 7.91/1.45 tff(f3224,plain,( 7.91/1.45 spl30_141 <=> lt_sol1(sK12,sK6)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 7.91/1.45 tff(f3228,plain,( 7.91/1.45 spl30_142 <=> $less(sK16,sK24(sK12,sK6))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_142])])). 7.91/1.45 tff(f3219,plain,( 7.91/1.45 spl30_140 <=> ! [X3 : $int] : (~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X3))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_140])])). 7.91/1.45 tff(f3222,plain,( 7.91/1.45 ~$less(sK16,sK24(sK12,sK6)) | ~lt_sol1(sK12,sK6) | ~spl30_140), 7.91/1.45 inference(resolution,[],[f3220,f372])). 7.91/1.45 tff(f372,plain,( 7.91/1.45 ( ! [X0:map_int_int,X1:map_int_int] : (eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) | ~lt_sol1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f245])). 7.91/1.45 tff(f245,plain,( 7.91/1.45 ! [X0 : map_int_int,X1 : map_int_int] : ((($less(sK24(X0,X1),n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & ~$less(sK24(X0,X1),0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : (~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0))))), 7.91/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f243,f244])). 7.91/1.45 tff(f244,plain,( 7.91/1.45 ! [X1 : map_int_int,X0 : map_int_int] : (? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) => ($less(sK24(X0,X1),n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & ~$less(sK24(X0,X1),0)))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f243,plain,( 7.91/1.45 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : (~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0))))), 7.91/1.45 inference(rectify,[],[f242])). 7.91/1.45 tff(f242,plain,( 7.91/1.45 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X2 : $int] : (~$less(X2,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) | $less(X2,0))))), 7.91/1.45 inference(nnf_transformation,[],[f130])). 7.91/1.45 tff(f130,plain,( 7.91/1.45 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) <=> lt_sol1(X0,X1))), 7.91/1.45 inference(rectify,[],[f87])). 7.91/1.45 tff(f87,plain,( 7.91/1.45 ! [X4 : map_int_int,X5 : map_int_int] : (? [X6 : $int] : ($less(X6,n1) & eq_prefix1(int,t2tb2(X4),t2tb2(X5),X6) & $less(tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X5),t2tb1(X6)))) & ~$less(X6,0)) <=> lt_sol1(X4,X5))), 7.91/1.45 inference(theory_normalization,[],[f36])). 7.91/1.45 tff(f36,axiom,( 7.91/1.45 ! [X4 : map_int_int,X5 : map_int_int] : (? [X6 : $int] : ($less(X6,n1) & eq_prefix1(int,t2tb2(X4),t2tb2(X5),X6) & $less(tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X5),t2tb1(X6)))) & $lesseq(0,X6)) <=> lt_sol1(X4,X5))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',lt_sol_def)). 7.91/1.45 tff(f3220,plain,( 7.91/1.45 ( ! [X3:$int] : (~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X3) | ~$less(sK16,X3)) ) | ~spl30_140), 7.91/1.45 inference(avatar_component_clause,[],[f3219])). 7.91/1.45 tff(f3221,plain,( 7.91/1.45 spl30_140 | ~spl30_105 | spl30_8 | ~spl30_48 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f3132,f2167,f834,f535,f2066,f3219])). 7.91/1.45 tff(f3132,plain,( 7.91/1.45 ( ! [X3:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK6),X3)) ) | ~spl30_110), 7.91/1.45 inference(superposition,[],[f934,f2169])). 7.91/1.45 tff(f934,plain,( 7.91/1.45 ( ! [X4:uni,X5:$int,X3:$int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | ~eq_prefix1(int,X4,t2tb2(sK6),X5)) )), 7.91/1.45 inference(duplicate_literal_removal,[],[f933])). 7.91/1.45 tff(f933,plain,( 7.91/1.45 ( ! [X4:uni,X5:$int,X3:$int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | $less(X3,0) | ~eq_prefix1(int,X4,t2tb2(sK6),X5)) )), 7.91/1.45 inference(superposition,[],[f804,f429])). 7.91/1.45 tff(f3194,plain,( 7.91/1.45 ~spl30_138 | ~spl30_135), 7.91/1.45 inference(avatar_split_clause,[],[f3149,f3096,f3157])). 7.91/1.45 tff(f3157,plain,( 7.91/1.45 spl30_138 <=> $less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 7.91/1.45 tff(f3096,plain,( 7.91/1.45 spl30_135 <=> mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 7.91/1.45 tff(f3149,plain,( 7.91/1.45 ~$less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),0) | ~spl30_135), 7.91/1.45 inference(resolution,[],[f3098,f560])). 7.91/1.45 tff(f560,plain,( 7.91/1.45 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | ~$less(tb2t1(X0),0)) )), 7.91/1.45 inference(superposition,[],[f272,f323])). 7.91/1.45 tff(f272,plain,( 7.91/1.45 ( ! [X28:$int] : (~mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f3098,plain,( 7.91/1.45 mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0)) | ~spl30_135), 7.91/1.45 inference(avatar_component_clause,[],[f3096])). 7.91/1.45 tff(f3193,plain,( 7.91/1.45 spl30_137 | ~spl30_135), 7.91/1.45 inference(avatar_split_clause,[],[f3148,f3096,f3152])). 7.91/1.45 tff(f3152,plain,( 7.91/1.45 spl30_137 <=> $less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),n1)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_137])])). 7.91/1.45 tff(f3148,plain,( 7.91/1.45 $less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),n1) | ~spl30_135), 7.91/1.45 inference(resolution,[],[f3098,f677])). 7.91/1.45 tff(f677,plain,( 7.91/1.45 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | $less(tb2t1(X0),n1)) )), 7.91/1.45 inference(superposition,[],[f668,f323])). 7.91/1.45 tff(f668,plain,( 7.91/1.45 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK0)) | $less(X0,n1)) )), 7.91/1.45 inference(equality_resolution,[],[f459])). 7.91/1.45 tff(f459,plain,( 7.91/1.45 ( ! [X28:$int,X29:$int] : (n1 != X29 | $less(X28,X29) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 7.91/1.45 inference(theory_flattening,[],[f274])). 7.91/1.45 tff(f274,plain,( 7.91/1.45 ( ! [X28:$int] : ($less(X28,n1) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f3192,plain,( 7.91/1.45 spl30_139 | ~spl30_62 | ~spl30_134), 7.91/1.45 inference(avatar_split_clause,[],[f3109,f3092,f1031,f3189])). 7.91/1.45 tff(f3189,plain,( 7.91/1.45 spl30_139 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_139])])). 7.91/1.45 tff(f1031,plain,( 7.91/1.45 spl30_62 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_62])])). 7.91/1.45 tff(f3092,plain,( 7.91/1.45 spl30_134 <=> infix_eqeq(int,t2tb(sK0),t2tb(sK8))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_134])])). 7.91/1.45 tff(f3109,plain,( 7.91/1.45 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | (~spl30_62 | ~spl30_134)), 7.91/1.45 inference(resolution,[],[f3101,f1033])). 7.91/1.45 tff(f1033,plain,( 7.91/1.45 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0)) | ~spl30_62), 7.91/1.45 inference(avatar_component_clause,[],[f1031])). 7.91/1.45 tff(f3101,plain,( 7.91/1.45 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | mem(int,X0,t2tb(sK8))) ) | ~spl30_134), 7.91/1.45 inference(resolution,[],[f3094,f383])). 7.91/1.45 tff(f383,plain,( 7.91/1.45 ( ! [X4:uni,X2:uni,X0:ty,X1:uni] : (~infix_eqeq(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 7.91/1.45 inference(cnf_transformation,[],[f249])). 7.91/1.45 tff(f249,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2)))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 7.91/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f247,f248])). 7.91/1.45 tff(f248,plain,( 7.91/1.45 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3)) => ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2))))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f247,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 7.91/1.45 inference(flattening,[],[f246])). 7.91/1.45 tff(f246,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : (((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1))) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 7.91/1.45 inference(nnf_transformation,[],[f181])). 7.91/1.45 tff(f181,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((mem(X0,X3,X1) <~> mem(X0,X3,X2)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2)) | ~infix_eqeq(X0,X1,X2)))), 7.91/1.45 inference(ennf_transformation,[],[f140])). 7.91/1.45 tff(f140,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) <=> mem(X0,X3,X2))) => infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2))))), 7.91/1.45 inference(rectify,[],[f45])). 7.91/1.45 tff(f45,axiom,( 7.91/1.45 ! [X2 : ty,X4 : uni,X5 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => (mem(X2,X1,X4) <=> mem(X2,X1,X5))) => infix_eqeq(X2,X4,X5)) & (infix_eqeq(X2,X4,X5) => ! [X1 : uni] : (mem(X2,X1,X4) <=> mem(X2,X1,X5))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_eqeq_def)). 7.91/1.45 tff(f3094,plain,( 7.91/1.45 infix_eqeq(int,t2tb(sK0),t2tb(sK8)) | ~spl30_134), 7.91/1.45 inference(avatar_component_clause,[],[f3092])). 7.91/1.45 tff(f3183,plain,( 7.91/1.45 spl30_136 | ~spl30_48 | ~spl30_134), 7.91/1.45 inference(avatar_split_clause,[],[f3111,f3092,f834,f3125])). 7.91/1.45 tff(f3125,plain,( 7.91/1.45 spl30_136 <=> mem(int,t2tb1(sK15),t2tb(sK8))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 7.91/1.45 tff(f3111,plain,( 7.91/1.45 mem(int,t2tb1(sK15),t2tb(sK8)) | (~spl30_48 | ~spl30_134)), 7.91/1.45 inference(resolution,[],[f3101,f836])). 7.91/1.45 tff(f836,plain,( 7.91/1.45 mem(int,t2tb1(sK15),t2tb(sK0)) | ~spl30_48), 7.91/1.45 inference(avatar_component_clause,[],[f834])). 7.91/1.45 tff(f3160,plain,( 7.91/1.45 ~spl30_138 | ~spl30_135), 7.91/1.45 inference(avatar_split_clause,[],[f3149,f3096,f3157])). 7.91/1.45 tff(f3155,plain,( 7.91/1.45 spl30_137 | ~spl30_135), 7.91/1.45 inference(avatar_split_clause,[],[f3148,f3096,f3152])). 7.91/1.45 tff(f3128,plain,( 7.91/1.45 spl30_136 | ~spl30_48 | ~spl30_134), 7.91/1.45 inference(avatar_split_clause,[],[f3111,f3092,f834,f3125])). 7.91/1.45 tff(f3099,plain,( 7.91/1.45 spl30_134 | spl30_135 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f3090,f727,f3096,f3092])). 7.91/1.45 tff(f727,plain,( 7.91/1.45 spl30_30 <=> subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_30])])). 7.91/1.45 tff(f3090,plain,( 7.91/1.45 mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0)) | infix_eqeq(int,t2tb(sK0),t2tb(sK8)) | ~spl30_30), 7.91/1.45 inference(factoring,[],[f993])). 7.91/1.45 tff(f993,plain,( 7.91/1.45 ( ! [X0:uni] : (mem(int,sK25(int,X0,t2tb(sK8)),t2tb(sK0)) | infix_eqeq(int,X0,t2tb(sK8)) | mem(int,sK25(int,X0,t2tb(sK8)),X0)) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f984,f386])). 7.91/1.45 tff(f386,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK25(X0,X1,X2),X2) | infix_eqeq(X0,X1,X2) | mem(X0,sK25(X0,X1,X2),X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f249])). 7.91/1.45 tff(f984,plain,( 7.91/1.45 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK8)) | mem(int,X0,t2tb(sK0))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f941,f421])). 7.91/1.45 tff(f421,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f263])). 7.91/1.45 tff(f263,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X2) | ~mem(X0,X3,X1)))), 7.91/1.45 inference(flattening,[],[f262])). 7.91/1.45 tff(f262,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | (mem(X0,X3,X2) | ~mem(X0,X3,X1))))), 7.91/1.45 inference(nnf_transformation,[],[f160])). 7.91/1.45 tff(f160,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) <=> mem(X0,X3,diff(X0,X1,X2)))), 7.91/1.45 inference(rectify,[],[f4])). 7.91/1.45 tff(f4,axiom,( 7.91/1.45 ! [X2 : ty,X4 : uni,X5 : uni,X1 : uni] : ((~mem(X2,X1,X5) & mem(X2,X1,X4)) <=> mem(X2,X1,diff(X2,X4,X5)))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_def1)). 7.91/1.45 tff(f941,plain,( 7.91/1.45 ( ! [X0:uni] : (mem(int,X0,diff(int,t2tb(sK0),t2tb(sK1))) | ~mem(int,X0,t2tb(sK8))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f732,f421])). 7.91/1.45 tff(f732,plain,( 7.91/1.45 ( ! [X1:uni] : (mem(int,X1,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,X1,t2tb(sK8))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f729,f388])). 7.91/1.45 tff(f388,plain,( 7.91/1.45 ( ! [X4:uni,X2:uni,X0:ty,X1:uni] : (~subset(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 7.91/1.45 inference(cnf_transformation,[],[f251])). 7.91/1.45 tff(f251,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2)))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 7.91/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f183,f250])). 7.91/1.45 tff(f250,plain,( 7.91/1.45 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3)) => (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2))))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f183,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 7.91/1.45 inference(flattening,[],[f182])). 7.91/1.45 tff(f182,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 7.91/1.45 inference(ennf_transformation,[],[f141])). 7.91/1.45 tff(f141,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) => mem(X0,X3,X2))) => subset(X0,X1,X2)) & (subset(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) => mem(X0,X4,X2))))), 7.91/1.45 inference(rectify,[],[f69])). 7.91/1.45 tff(f69,axiom,( 7.91/1.45 ! [X2 : ty,X4 : uni,X5 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => (mem(X2,X1,X4) => mem(X2,X1,X5))) => subset(X2,X4,X5)) & (subset(X2,X4,X5) => ! [X1 : uni] : (mem(X2,X1,X4) => mem(X2,X1,X5))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_def)). 7.91/1.45 tff(f729,plain,( 7.91/1.45 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~spl30_30), 7.91/1.45 inference(avatar_component_clause,[],[f727])). 7.91/1.45 tff(f3040,plain,( 7.91/1.45 ~spl30_132 | ~spl30_133 | ~spl30_131), 7.91/1.45 inference(avatar_split_clause,[],[f3031,f3028,f3037,f3033])). 7.91/1.45 tff(f3033,plain,( 7.91/1.45 spl30_132 <=> lt_sol1(sK6,sK13)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 7.91/1.45 tff(f3037,plain,( 7.91/1.45 spl30_133 <=> $less(sK16,sK24(sK6,sK13))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_133])])). 7.91/1.45 tff(f3028,plain,( 7.91/1.45 spl30_131 <=> ! [X47 : $int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_131])])). 7.91/1.45 tff(f3031,plain,( 7.91/1.45 ~$less(sK16,sK24(sK6,sK13)) | ~lt_sol1(sK6,sK13) | ~spl30_131), 7.91/1.45 inference(resolution,[],[f3029,f372])). 7.91/1.45 tff(f3029,plain,( 7.91/1.45 ( ! [X47:$int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47)) ) | ~spl30_131), 7.91/1.45 inference(avatar_component_clause,[],[f3028])). 7.91/1.45 tff(f3030,plain,( 7.91/1.45 spl30_131 | ~spl30_105 | spl30_8 | ~spl30_48 | ~spl30_78), 7.91/1.45 inference(avatar_split_clause,[],[f1369,f1162,f834,f535,f2066,f3028])). 7.91/1.45 tff(f1162,plain,( 7.91/1.45 spl30_78 <=> ! [X3 : $int,X2 : uni] : (sK15 = tb2t1(get(int,int,X2,t2tb1(sK16))) | ~eq_prefix1(int,X2,t2tb2(sK13),X3) | ~$less(sK16,X3))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_78])])). 7.91/1.45 tff(f1369,plain,( 7.91/1.45 ( ! [X47:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47)) ) | ~spl30_78), 7.91/1.45 inference(superposition,[],[f804,f1186])). 7.91/1.45 tff(f1186,plain,( 7.91/1.45 ( ! [X50:uni,X51:$int] : (t2tb1(sK15) = get(int,int,X50,t2tb1(sK16)) | ~eq_prefix1(int,X50,t2tb2(sK13),X51) | ~$less(sK16,X51)) ) | ~spl30_78), 7.91/1.45 inference(superposition,[],[f323,f1163])). 7.91/1.45 tff(f1163,plain,( 7.91/1.45 ( ! [X2:uni,X3:$int] : (sK15 = tb2t1(get(int,int,X2,t2tb1(sK16))) | ~eq_prefix1(int,X2,t2tb2(sK13),X3) | ~$less(sK16,X3)) ) | ~spl30_78), 7.91/1.45 inference(avatar_component_clause,[],[f1162])). 7.91/1.45 tff(f2967,plain,( 7.91/1.45 spl30_8 | spl30_130 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f2443,f2167,f2965,f535])). 7.91/1.45 tff(f2965,plain,( 7.91/1.45 spl30_130 <=> ! [X3 : $int,X2 : uni] : (t2tb1(sK15) = get(int,int,X2,t2tb1(sK16)) | ~eq_prefix1(int,X2,t2tb2(sK12),X3) | ~$less(sK16,X3))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 7.91/1.45 tff(f2443,plain,( 7.91/1.45 ( ! [X2:uni,X3:$int] : (t2tb1(sK15) = get(int,int,X2,t2tb1(sK16)) | ~$less(sK16,X3) | $less(sK16,0) | ~eq_prefix1(int,X2,t2tb2(sK12),X3)) ) | ~spl30_110), 7.91/1.45 inference(superposition,[],[f2169,f429])). 7.91/1.45 tff(f2905,plain,( 7.91/1.45 spl30_8 | spl30_129 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f2442,f2167,f2903,f535])). 7.91/1.45 tff(f2903,plain,( 7.91/1.45 spl30_129 <=> ! [X1 : $int,X0 : uni] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~eq_prefix1(int,t2tb2(sK12),X0,X1) | ~$less(sK16,X1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 7.91/1.45 tff(f2442,plain,( 7.91/1.45 ( ! [X0:uni,X1:$int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,t2tb2(sK12),X0,X1)) ) | ~spl30_110), 7.91/1.45 inference(superposition,[],[f2169,f429])). 7.91/1.45 tff(f2889,plain,( 7.91/1.45 ~spl30_126 | ~spl30_127 | spl30_128 | ~spl30_82 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f2874,f2167,f1418,f2886,f2882,f2878])). 7.91/1.45 tff(f2878,plain,( 7.91/1.45 spl30_126 <=> eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_126])])). 7.91/1.45 tff(f2882,plain,( 7.91/1.45 spl30_127 <=> $less(sK15,sK15)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 7.91/1.45 tff(f2886,plain,( 7.91/1.45 spl30_128 <=> lt_sol1(sK12,sK13)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_128])])). 7.91/1.45 tff(f1418,plain,( 7.91/1.45 spl30_82 <=> ! [X20 : $int,X17 : $int,X19 : map_int_int] : (sK15 != X17 | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | ~$less(X20,X17) | lt_sol1(X19,sK13) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 7.91/1.45 tff(f2874,plain,( 7.91/1.45 lt_sol1(sK12,sK13) | ~$less(sK15,sK15) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | (~spl30_82 | ~spl30_110)), 7.91/1.45 inference(forward_demodulation,[],[f2873,f318])). 7.91/1.45 tff(f318,plain,( 7.91/1.45 ( ! [X0:map_int_int] : (tb2t2(t2tb2(X0)) = X0) )), 7.91/1.45 inference(cnf_transformation,[],[f100])). 7.91/1.45 tff(f100,plain,( 7.91/1.45 ! [X0 : map_int_int] : tb2t2(t2tb2(X0)) = X0), 7.91/1.45 inference(rectify,[],[f77])). 7.91/1.45 tff(f77,axiom,( 7.91/1.45 ! [X6 : map_int_int] : tb2t2(t2tb2(X6)) = X6), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL2)). 7.91/1.45 tff(f2873,plain,( 7.91/1.45 ~$less(sK15,sK15) | lt_sol1(tb2t2(t2tb2(sK12)),sK13) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | (~spl30_82 | ~spl30_110)), 7.91/1.45 inference(forward_demodulation,[],[f2862,f320])). 7.91/1.45 tff(f320,plain,( 7.91/1.45 ( ! [X0:$int] : (tb2t1(t2tb1(X0)) = X0) )), 7.91/1.45 inference(cnf_transformation,[],[f102])). 7.91/1.45 tff(f102,plain,( 7.91/1.45 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0), 7.91/1.45 inference(rectify,[],[f51])). 7.91/1.45 tff(f51,axiom,( 7.91/1.45 ! [X6 : $int] : tb2t1(t2tb1(X6)) = X6), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1)). 7.91/1.45 tff(f2862,plain,( 7.91/1.45 ~$less(tb2t1(t2tb1(sK15)),sK15) | lt_sol1(tb2t2(t2tb2(sK12)),sK13) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | (~spl30_82 | ~spl30_110)), 7.91/1.45 inference(superposition,[],[f2075,f2169])). 7.91/1.45 tff(f2075,plain,( 7.91/1.45 ( ! [X0:uni] : (~$less(tb2t1(get(int,int,X0,t2tb1(sK16))),sK15) | lt_sol1(tb2t2(X0),sK13) | ~eq_prefix1(int,X0,t2tb2(sK13),sK16)) ) | ~spl30_82), 7.91/1.45 inference(superposition,[],[f2074,f321])). 7.91/1.45 tff(f321,plain,( 7.91/1.45 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 7.91/1.45 inference(cnf_transformation,[],[f103])). 7.91/1.45 tff(f103,plain,( 7.91/1.45 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 7.91/1.45 inference(rectify,[],[f70])). 7.91/1.45 tff(f70,axiom,( 7.91/1.45 ! [X16 : uni] : t2tb2(tb2t2(X16)) = X16), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR2)). 7.91/1.45 tff(f2074,plain,( 7.91/1.45 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK16))),sK15) | lt_sol1(X0,sK13) | ~eq_prefix1(int,t2tb2(X0),t2tb2(sK13),sK16)) ) | ~spl30_82), 7.91/1.45 inference(equality_resolution,[],[f1447])). 7.91/1.45 tff(f1447,plain,( 7.91/1.45 ( ! [X0:map_int_int,X1:$int] : (sK15 != X1 | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK16))),X1) | lt_sol1(X0,sK13) | ~eq_prefix1(int,t2tb2(X0),t2tb2(sK13),sK16)) ) | ~spl30_82), 7.91/1.45 inference(equality_resolution,[],[f1419])). 7.91/1.45 tff(f1419,plain,( 7.91/1.45 ( ! [X19:map_int_int,X17:$int,X20:$int] : (tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | ~$less(X20,X17) | lt_sol1(X19,sK13) | sK15 != X17) ) | ~spl30_82), 7.91/1.45 inference(avatar_component_clause,[],[f1418])). 7.91/1.45 tff(f2709,plain,( 7.91/1.45 spl30_42 | spl30_8 | spl30_125 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f612,f606,f2707,f535,f806])). 7.91/1.45 tff(f806,plain,( 7.91/1.45 spl30_42 <=> ! [X16 : $int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK13))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 7.91/1.45 tff(f2707,plain,( 7.91/1.45 spl30_125 <=> ! [X0 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | $less(X0,0) | ~$less(X0,sK16))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 7.91/1.45 tff(f606,plain,( 7.91/1.45 spl30_18 <=> sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_18])])). 7.91/1.45 tff(f612,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X0))) | ~$less(X0,sK16) | $less(X0,0) | $less(sK16,0) | ~$less(sK16,X1) | ~partial_solution1(X1,sK13)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f350,f608])). 7.91/1.45 tff(f608,plain,( 7.91/1.45 sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) | ~spl30_18), 7.91/1.45 inference(avatar_component_clause,[],[f606])). 7.91/1.45 tff(f350,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f234])). 7.91/1.45 tff(f234,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1) | ((tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK23(X0,X1),$uminus(sK22(X0,X1))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK23(X0,X1)))) & $less(sK23(X0,X1),sK22(X0,X1)) & ~$less(sK23(X0,X1),0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0)) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),X0))) & (! [X4 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) & ! [X5 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X5,$uminus(X4)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5))) | ~$less(X5,X4) | $less(X5,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0)) | $less(X4,0) | ~$less(X4,X0)) | ~partial_solution1(X0,X1)))), 7.91/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f231,f233,f232])). 7.91/1.45 tff(f232,plain,( 7.91/1.45 ! [X1 : map_int_int,X0 : $int] : (? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(X2)) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0)) => ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(sK22(X0,X1))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(sK22(X0,X1),$uminus(X3))) & $less(X3,sK22(X0,X1)) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0)) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),X0)))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f233,plain,( 7.91/1.45 ! [X1 : map_int_int,X0 : $int] : (? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(sK22(X0,X1))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(sK22(X0,X1),$uminus(X3))) & $less(X3,sK22(X0,X1)) & ~$less(X3,0)) => ((tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK23(X0,X1),$uminus(sK22(X0,X1))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) = $sum(sK22(X0,X1),$uminus(sK23(X0,X1)))) & $less(sK23(X0,X1),sK22(X0,X1)) & ~$less(sK23(X0,X1),0)))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f231,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(X2)) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0))) & (! [X4 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) & ! [X5 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X5,$uminus(X4)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5))) | ~$less(X5,X4) | $less(X5,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0)) | $less(X4,0) | ~$less(X4,X0)) | ~partial_solution1(X0,X1)))), 7.91/1.45 inference(rectify,[],[f230])). 7.91/1.45 tff(f230,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X3,$uminus(X2)) | $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) = $sum(X2,$uminus(X3))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0))) & (! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3))) | ~$less(X3,X2) | $less(X3,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | $less(X2,0) | ~$less(X2,X0)) | ~partial_solution1(X0,X1)))), 7.91/1.45 inference(nnf_transformation,[],[f180])). 7.91/1.45 tff(f180,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3))) | ~$less(X3,X2) | $less(X3,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | $less(X2,0) | ~$less(X2,X0)))), 7.91/1.45 inference(flattening,[],[f179])). 7.91/1.45 tff(f179,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3))) | (~$less(X3,X2) | $less(X3,0))) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | ($less(X2,0) | ~$less(X2,X0))))), 7.91/1.45 inference(ennf_transformation,[],[f122])). 7.91/1.45 tff(f122,plain,( 7.91/1.45 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X0)) => ($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : (($less(X3,X2) & ~$less(X3,0)) => (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X3,$uminus(X2)) & $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) != $sum(X2,$uminus(X3)))) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0))))), 7.91/1.45 inference(rectify,[],[f83])). 7.91/1.45 tff(f83,plain,( 7.91/1.45 ! [X15 : $int,X0 : map_int_int] : (partial_solution1(X15,X0) <=> ! [X6 : $int] : ((~$less(X6,0) & $less(X6,X15)) => ($less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),n1) & ! [X16 : $int] : (($less(X16,X6) & ~$less(X16,0)) => (tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))) & $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))))) != $sum(X16,$uminus(X6)) & $sum(X6,$uminus(X16)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))))))) & ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),0))))), 7.91/1.45 inference(theory_normalization,[],[f58])). 7.91/1.45 tff(f58,axiom,( 7.91/1.45 ! [X15 : $int,X0 : map_int_int] : (partial_solution1(X15,X0) <=> ! [X6 : $int] : (($lesseq(0,X6) & $less(X6,X15)) => ($less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),n1) & ! [X16 : $int] : (($less(X16,X6) & $lesseq(0,X16)) => (tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))) & $difference(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X0),t2tb1(X16)))) != $difference(X16,X6) & $difference(X6,X16) != $difference(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X0),t2tb1(X16)))))) & $lesseq(0,tb2t1(get(int,int,t2tb2(X0),t2tb1(X6)))))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_solution_def)). 7.91/1.45 tff(f2703,plain,( 7.91/1.45 spl30_122 | spl30_8 | spl30_124 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f2460,f2167,f2531,f535,f2506])). 7.91/1.45 tff(f2506,plain,( 7.91/1.45 spl30_122 <=> ! [X16 : $int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK12))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 7.91/1.45 tff(f2531,plain,( 7.91/1.45 spl30_124 <=> ! [X5 : $int,X4 : $int] : (sK15 != X4 | $less(X4,X5) | n1 != X5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_124])])). 7.91/1.45 tff(f2460,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X5:$int] : (sK15 != X4 | n1 != X5 | $less(X4,X5) | $less(sK16,0) | ~$less(sK16,X6) | ~partial_solution1(X6,sK12)) ) | ~spl30_110), 7.91/1.45 inference(forward_demodulation,[],[f2446,f320])). 7.91/1.45 tff(f2446,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X5:$int] : (tb2t1(t2tb1(sK15)) != X4 | n1 != X5 | $less(X4,X5) | $less(sK16,0) | ~$less(sK16,X6) | ~partial_solution1(X6,sK12)) ) | ~spl30_110), 7.91/1.45 inference(superposition,[],[f472,f2169])). 7.91/1.45 tff(f472,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X0:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X5 | n1 != X6 | $less(X5,X6) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(theory_flattening,[],[f351])). 7.91/1.45 tff(f351,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X1:map_int_int] : ($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f234])). 7.91/1.45 tff(f2533,plain,( 7.91/1.45 spl30_42 | spl30_8 | spl30_124 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f614,f606,f2531,f535,f806])). 7.91/1.45 tff(f614,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X5:$int] : (sK15 != X4 | n1 != X5 | $less(X4,X5) | $less(sK16,0) | ~$less(sK16,X6) | ~partial_solution1(X6,sK13)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f472,f608])). 7.91/1.45 tff(f2529,plain,( 7.91/1.45 ~spl30_123 | spl30_8 | spl30_42 | ~spl30_19 | ~spl30_79), 7.91/1.45 inference(avatar_split_clause,[],[f2523,f1254,f622,f806,f535,f2526])). 7.91/1.45 tff(f2526,plain,( 7.91/1.45 spl30_123 <=> $less(sK16,sK16)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_123])])). 7.91/1.45 tff(f622,plain,( 7.91/1.45 spl30_19 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 7.91/1.45 tff(f1254,plain,( 7.91/1.45 spl30_79 <=> ! [X3 : $int,X2 : $int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | ~partial_solution1(X3,sK13) | ~$less(X2,X3) | $less(X2,0) | ~$less(sK16,X2))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 7.91/1.45 tff(f2523,plain,( 7.91/1.45 ( ! [X0:$int] : (~partial_solution1(X0,sK13) | ~$less(sK16,X0) | $less(sK16,0) | ~$less(sK16,sK16)) ) | (~spl30_19 | ~spl30_79)), 7.91/1.45 inference(trivial_inequality_removal,[],[f2522])). 7.91/1.45 tff(f2522,plain,( 7.91/1.45 ( ! [X0:$int] : (sK15 != sK15 | ~partial_solution1(X0,sK13) | ~$less(sK16,X0) | $less(sK16,0) | ~$less(sK16,sK16)) ) | (~spl30_19 | ~spl30_79)), 7.91/1.45 inference(forward_demodulation,[],[f1270,f320])). 7.91/1.45 tff(f1270,plain,( 7.91/1.45 ( ! [X0:$int] : (sK15 != tb2t1(t2tb1(sK15)) | ~partial_solution1(X0,sK13) | ~$less(sK16,X0) | $less(sK16,0) | ~$less(sK16,sK16)) ) | (~spl30_19 | ~spl30_79)), 7.91/1.45 inference(superposition,[],[f1255,f624])). 7.91/1.45 tff(f624,plain,( 7.91/1.45 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_19), 7.91/1.45 inference(avatar_component_clause,[],[f622])). 7.91/1.45 tff(f1255,plain,( 7.91/1.45 ( ! [X2:$int,X3:$int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | ~partial_solution1(X3,sK13) | ~$less(X2,X3) | $less(X2,0) | ~$less(sK16,X2)) ) | ~spl30_79), 7.91/1.45 inference(avatar_component_clause,[],[f1254])). 7.91/1.45 tff(f2508,plain,( 7.91/1.45 spl30_122 | spl30_8 | spl30_43 | ~spl30_110), 7.91/1.45 inference(avatar_split_clause,[],[f2463,f2167,f809,f535,f2506])). 7.91/1.45 tff(f809,plain,( 7.91/1.45 spl30_43 <=> ! [X15 : $int] : (sK15 != X15 | ~$less(X15,0))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_43])])). 7.91/1.45 tff(f2463,plain,( 7.91/1.45 ( ! [X15:$int,X16:$int] : (sK15 != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK12)) ) | ~spl30_110), 7.91/1.45 inference(forward_demodulation,[],[f2449,f320])). 7.91/1.45 tff(f2449,plain,( 7.91/1.45 ( ! [X15:$int,X16:$int] : (tb2t1(t2tb1(sK15)) != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK12)) ) | ~spl30_110), 7.91/1.45 inference(superposition,[],[f475,f2169])). 7.91/1.45 tff(f475,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X5 | ~$less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(theory_flattening,[],[f347])). 7.91/1.45 tff(f347,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X1:map_int_int] : (~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f234])). 7.91/1.45 tff(f2441,plain,( 7.91/1.45 ~spl30_120 | ~spl30_121 | ~spl30_104), 7.91/1.45 inference(avatar_split_clause,[],[f2432,f2063,f2438,f2434])). 7.91/1.45 tff(f2434,plain,( 7.91/1.45 spl30_120 <=> lt_sol1(sK13,sK6)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 7.91/1.45 tff(f2438,plain,( 7.91/1.45 spl30_121 <=> $less(sK16,sK24(sK13,sK6))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_121])])). 7.91/1.45 tff(f2063,plain,( 7.91/1.45 spl30_104 <=> ! [X47 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 7.91/1.45 tff(f2432,plain,( 7.91/1.45 ~$less(sK16,sK24(sK13,sK6)) | ~lt_sol1(sK13,sK6) | ~spl30_104), 7.91/1.45 inference(resolution,[],[f2064,f372])). 7.91/1.45 tff(f2064,plain,( 7.91/1.45 ( ! [X47:$int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47)) ) | ~spl30_104), 7.91/1.45 inference(avatar_component_clause,[],[f2063])). 7.91/1.45 tff(f2390,plain,( 7.91/1.45 spl30_109), 7.91/1.45 inference(avatar_contradiction_clause,[],[f2389])). 7.91/1.45 tff(f2389,plain,( 7.91/1.45 $false | spl30_109), 7.91/1.45 inference(resolution,[],[f2165,f314])). 7.91/1.45 tff(f314,plain,( 7.91/1.45 ( ! [X0:$int] : (sort1(int,t2tb1(X0))) )), 7.91/1.45 inference(cnf_transformation,[],[f96])). 7.91/1.45 tff(f96,plain,( 7.91/1.45 ! [X0 : $int] : sort1(int,t2tb1(X0))), 7.91/1.45 inference(rectify,[],[f37])). 7.91/1.45 tff(f37,axiom,( 7.91/1.45 ! [X1 : $int] : sort1(int,t2tb1(X1))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort1)). 7.91/1.45 tff(f2165,plain,( 7.91/1.45 ~sort1(int,t2tb1(sK16)) | spl30_109), 7.91/1.45 inference(avatar_component_clause,[],[f2163])). 7.91/1.45 tff(f2163,plain,( 7.91/1.45 spl30_109 <=> sort1(int,t2tb1(sK16))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 7.91/1.45 tff(f2388,plain,( 7.91/1.45 ~spl30_46 | ~spl30_117), 7.91/1.45 inference(avatar_split_clause,[],[f2384,f2370,f826])). 7.91/1.45 tff(f826,plain,( 7.91/1.45 spl30_46 <=> sort1(int,t2tb1(sK15))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 7.91/1.45 tff(f2370,plain,( 7.91/1.45 spl30_117 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_117])])). 7.91/1.45 tff(f2384,plain,( 7.91/1.45 ~sort1(int,t2tb1(sK15)) | ~spl30_117), 7.91/1.45 inference(resolution,[],[f2372,f495])). 7.91/1.45 tff(f495,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X3:uni] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2)) )), 7.91/1.45 inference(duplicate_literal_removal,[],[f435])). 7.91/1.45 tff(f435,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X3:uni] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 7.91/1.45 inference(equality_resolution,[],[f415])). 7.91/1.45 tff(f415,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (X1 != X2 | ~mem(X0,X1,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f259])). 7.91/1.45 tff(f259,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 7.91/1.45 inference(flattening,[],[f258])). 7.91/1.45 tff(f258,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | (X1 = X2 | ~mem(X0,X1,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 7.91/1.45 inference(nnf_transformation,[],[f205])). 7.91/1.45 tff(f205,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 7.91/1.45 inference(flattening,[],[f204])). 7.91/1.45 tff(f204,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 7.91/1.45 inference(ennf_transformation,[],[f157])). 7.91/1.45 tff(f157,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => ((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3)))))), 7.91/1.45 inference(rectify,[],[f67])). 7.91/1.45 tff(f67,axiom,( 7.91/1.45 ! [X2 : ty,X1 : uni,X7 : uni,X0 : uni] : (sort1(X2,X1) => (sort1(X2,X7) => ((X1 != X7 & mem(X2,X1,X0)) <=> mem(X2,X1,remove(X2,X7,X0)))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',remove_def1)). 7.91/1.45 tff(f2372,plain,( 7.91/1.45 mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0))) | ~spl30_117), 7.91/1.45 inference(avatar_component_clause,[],[f2370])). 7.91/1.45 tff(f2383,plain,( 7.91/1.45 ~spl30_119 | ~spl30_19 | ~spl30_51 | spl30_65 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2309,f2159,f1058,f890,f622,f2380])). 7.91/1.45 tff(f2380,plain,( 7.91/1.45 spl30_119 <=> mem(int,t2tb1(sK15),t2tb(sK1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_119])])). 7.91/1.45 tff(f890,plain,( 7.91/1.45 spl30_51 <=> t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_51])])). 7.91/1.45 tff(f1058,plain,( 7.91/1.45 spl30_65 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_65])])). 7.91/1.45 tff(f2159,plain,( 7.91/1.45 spl30_108 <=> t2tb1(sK16) = t2tb1(sK5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_108])])). 7.91/1.45 tff(f2309,plain,( 7.91/1.45 ~mem(int,t2tb1(sK15),t2tb(sK1)) | (~spl30_19 | ~spl30_51 | spl30_65 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f1060,f2227])). 7.91/1.45 tff(f2227,plain,( 7.91/1.45 t2tb1(min_elt1(sK8)) = t2tb1(sK15) | (~spl30_19 | ~spl30_51 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f892,f2171])). 7.91/1.45 tff(f2171,plain,( 7.91/1.45 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | (~spl30_19 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f624,f2161])). 7.91/1.45 tff(f2161,plain,( 7.91/1.45 t2tb1(sK16) = t2tb1(sK5) | ~spl30_108), 7.91/1.45 inference(avatar_component_clause,[],[f2159])). 7.91/1.45 tff(f892,plain,( 7.91/1.45 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~spl30_51), 7.91/1.45 inference(avatar_component_clause,[],[f890])). 7.91/1.45 tff(f1060,plain,( 7.91/1.45 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | spl30_65), 7.91/1.45 inference(avatar_component_clause,[],[f1058])). 7.91/1.45 tff(f2378,plain,( 7.91/1.45 ~spl30_118 | ~spl30_19 | ~spl30_51 | spl30_56 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2307,f2159,f964,f890,f622,f2375])). 7.91/1.45 tff(f2375,plain,( 7.91/1.45 spl30_118 <=> mem(int,t2tb1(sK15),t2tb(sK2))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 7.91/1.45 tff(f964,plain,( 7.91/1.45 spl30_56 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 7.91/1.45 tff(f2307,plain,( 7.91/1.45 ~mem(int,t2tb1(sK15),t2tb(sK2)) | (~spl30_19 | ~spl30_51 | spl30_56 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f966,f2227])). 7.91/1.45 tff(f966,plain,( 7.91/1.45 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | spl30_56), 7.91/1.45 inference(avatar_component_clause,[],[f964])). 7.91/1.45 tff(f2373,plain,( 7.91/1.45 spl30_117 | ~spl30_19 | ~spl30_20 | ~spl30_51 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2304,f2159,f890,f646,f622,f2370])). 7.91/1.45 tff(f646,plain,( 7.91/1.45 spl30_20 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 7.91/1.45 tff(f2304,plain,( 7.91/1.45 mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0))) | (~spl30_19 | ~spl30_20 | ~spl30_51 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f648,f2227])). 7.91/1.45 tff(f648,plain,( 7.91/1.45 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_20), 7.91/1.45 inference(avatar_component_clause,[],[f646])). 7.91/1.45 tff(f2366,plain,( 7.91/1.45 spl30_116 | ~spl30_115), 7.91/1.45 inference(avatar_split_clause,[],[f2359,f2315,f2363])). 7.91/1.45 tff(f2363,plain,( 7.91/1.45 spl30_116 <=> min_elt1(sK8) = sK15), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 7.91/1.45 tff(f2315,plain,( 7.91/1.45 spl30_115 <=> t2tb1(min_elt1(sK8)) = t2tb1(sK15)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 7.91/1.45 tff(f2359,plain,( 7.91/1.45 min_elt1(sK8) = sK15 | ~spl30_115), 7.91/1.45 inference(forward_demodulation,[],[f2323,f320])). 7.91/1.45 tff(f2323,plain,( 7.91/1.45 min_elt1(sK8) = tb2t1(t2tb1(sK15)) | ~spl30_115), 7.91/1.45 inference(superposition,[],[f320,f2317])). 7.91/1.45 tff(f2317,plain,( 7.91/1.45 t2tb1(min_elt1(sK8)) = t2tb1(sK15) | ~spl30_115), 7.91/1.45 inference(avatar_component_clause,[],[f2315])). 7.91/1.45 tff(f2318,plain,( 7.91/1.45 spl30_115 | ~spl30_19 | ~spl30_51 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2227,f2159,f890,f622,f2315])). 7.91/1.45 tff(f2263,plain,( 7.91/1.45 ~spl30_114 | spl30_105 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2247,f2159,f2066,f2260])). 7.91/1.45 tff(f2260,plain,( 7.91/1.45 spl30_114 <=> $less(sK5,sK5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_114])])). 7.91/1.45 tff(f2247,plain,( 7.91/1.45 ~$less(sK5,sK5) | (spl30_105 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f2068,f2226])). 7.91/1.45 tff(f2226,plain,( 7.91/1.45 sK5 = sK16 | ~spl30_108), 7.91/1.45 inference(forward_demodulation,[],[f2187,f320])). 7.91/1.45 tff(f2187,plain,( 7.91/1.45 sK16 = tb2t1(t2tb1(sK5)) | ~spl30_108), 7.91/1.45 inference(superposition,[],[f320,f2161])). 7.91/1.45 tff(f2068,plain,( 7.91/1.45 ~$less(sK16,sK5) | spl30_105), 7.91/1.45 inference(avatar_component_clause,[],[f2066])). 7.91/1.45 tff(f2257,plain,( 7.91/1.45 spl30_113 | ~spl30_15 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2237,f2159,f581,f2254])). 7.91/1.45 tff(f2254,plain,( 7.91/1.45 spl30_113 <=> $less(sK5,sK14)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 7.91/1.45 tff(f581,plain,( 7.91/1.45 spl30_15 <=> $less(sK16,sK14)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 7.91/1.45 tff(f2237,plain,( 7.91/1.45 $less(sK5,sK14) | (~spl30_15 | ~spl30_108)), 7.91/1.45 inference(backward_demodulation,[],[f583,f2226])). 7.91/1.45 tff(f583,plain,( 7.91/1.45 $less(sK16,sK14) | ~spl30_15), 7.91/1.45 inference(avatar_component_clause,[],[f581])). 7.91/1.45 tff(f2252,plain,( 7.91/1.45 spl30_112 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2226,f2159,f2249])). 7.91/1.45 tff(f2249,plain,( 7.91/1.45 spl30_112 <=> sK5 = sK16), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_112])])). 7.91/1.45 tff(f2232,plain,( 7.91/1.45 spl30_111 | ~spl30_19 | ~spl30_108), 7.91/1.45 inference(avatar_split_clause,[],[f2171,f2159,f622,f2229])). 7.91/1.45 tff(f2229,plain,( 7.91/1.45 spl30_111 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 7.91/1.45 tff(f2170,plain,( 7.91/1.45 spl30_108 | ~spl30_109 | spl30_110 | ~spl30_19 | ~spl30_107), 7.91/1.45 inference(avatar_split_clause,[],[f2107,f2102,f622,f2167,f2163,f2159])). 7.91/1.45 tff(f2102,plain,( 7.91/1.45 spl30_107 <=> ! [X0 : uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | ~sort1(int,X0) | t2tb1(sK5) = X0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 7.91/1.45 tff(f2107,plain,( 7.91/1.45 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | ~sort1(int,t2tb1(sK16)) | t2tb1(sK16) = t2tb1(sK5) | (~spl30_19 | ~spl30_107)), 7.91/1.45 inference(superposition,[],[f2103,f624])). 7.91/1.45 tff(f2103,plain,( 7.91/1.45 ( ! [X0:uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | ~sort1(int,X0) | t2tb1(sK5) = X0) ) | ~spl30_107), 7.91/1.45 inference(avatar_component_clause,[],[f2102])). 7.91/1.45 tff(f2106,plain,( 7.91/1.45 spl30_106), 7.91/1.45 inference(avatar_contradiction_clause,[],[f2105])). 7.91/1.45 tff(f2105,plain,( 7.91/1.45 $false | spl30_106), 7.91/1.45 inference(resolution,[],[f2100,f314])). 7.91/1.45 tff(f2100,plain,( 7.91/1.45 ~sort1(int,t2tb1(sK5)) | spl30_106), 7.91/1.45 inference(avatar_component_clause,[],[f2098])). 7.91/1.45 tff(f2098,plain,( 7.91/1.45 spl30_106 <=> sort1(int,t2tb1(sK5))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_106])])). 7.91/1.45 tff(f2104,plain,( 7.91/1.45 ~spl30_106 | spl30_107 | ~spl30_29), 7.91/1.45 inference(avatar_split_clause,[],[f724,f719,f2102,f2098])). 7.91/1.45 tff(f719,plain,( 7.91/1.45 spl30_29 <=> t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_29])])). 7.91/1.45 tff(f724,plain,( 7.91/1.45 ( ! [X0:uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | t2tb1(sK5) = X0 | ~sort1(int,X0) | ~sort1(int,t2tb1(sK5))) ) | ~spl30_29), 7.91/1.45 inference(superposition,[],[f431,f721])). 7.91/1.45 tff(f721,plain,( 7.91/1.45 t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) | ~spl30_29), 7.91/1.45 inference(avatar_component_clause,[],[f719])). 7.91/1.45 tff(f431,plain,( 7.91/1.45 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4 | ~sort1(X0,X4) | ~sort1(X0,X3)) )), 7.91/1.45 inference(cnf_transformation,[],[f211])). 7.91/1.45 tff(f211,plain,( 7.91/1.45 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4) | ~sort1(X0,X3))), 7.91/1.45 inference(flattening,[],[f210])). 7.91/1.45 tff(f210,plain,( 7.91/1.45 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort1(X0,X4)) | ~sort1(X0,X3))), 7.91/1.45 inference(ennf_transformation,[],[f164])). 7.91/1.45 tff(f164,plain,( 7.91/1.45 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4))))), 7.91/1.45 inference(rectify,[],[f43])). 7.91/1.45 tff(f43,axiom,( 7.91/1.45 ! [X2 : ty,X9 : ty,X27 : uni,X28 : uni,X29 : uni] : (sort1(X2,X28) => (sort1(X2,X29) => ! [X30 : uni] : (X28 != X29 => get(X9,X2,set1(X9,X2,X27,X28,X30),X29) = get(X9,X2,X27,X29))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq)). 7.91/1.45 tff(f2069,plain,( 7.91/1.45 spl30_104 | ~spl30_105 | spl30_8 | ~spl30_48 | ~spl30_74), 7.91/1.45 inference(avatar_split_clause,[],[f1333,f1117,f834,f535,f2066,f2063])). 7.91/1.45 tff(f1117,plain,( 7.91/1.45 spl30_74 <=> ! [X1 : $int,X0 : uni] : (sK15 = tb2t1(get(int,int,X0,t2tb1(sK16))) | ~eq_prefix1(int,t2tb2(sK13),X0,X1) | ~$less(sK16,X1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 7.91/1.45 tff(f1333,plain,( 7.91/1.45 ( ! [X47:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47)) ) | ~spl30_74), 7.91/1.45 inference(superposition,[],[f804,f1145])). 7.91/1.45 tff(f1145,plain,( 7.91/1.45 ( ! [X50:$int,X49:uni] : (t2tb1(sK15) = get(int,int,X49,t2tb1(sK16)) | ~eq_prefix1(int,t2tb2(sK13),X49,X50) | ~$less(sK16,X50)) ) | ~spl30_74), 7.91/1.45 inference(superposition,[],[f323,f1118])). 7.91/1.45 tff(f1118,plain,( 7.91/1.45 ( ! [X0:uni,X1:$int] : (sK15 = tb2t1(get(int,int,X0,t2tb1(sK16))) | ~eq_prefix1(int,t2tb2(sK13),X0,X1) | ~$less(sK16,X1)) ) | ~spl30_74), 7.91/1.45 inference(avatar_component_clause,[],[f1117])). 7.91/1.45 tff(f2014,plain,( 7.91/1.45 spl30_103 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f2000,f727,f2011])). 7.91/1.45 tff(f2011,plain,( 7.91/1.45 spl30_103 <=> subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_103])])). 7.91/1.45 tff(f2000,plain,( 7.91/1.45 subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | ~spl30_30), 7.91/1.45 inference(duplicate_literal_removal,[],[f1999])). 7.91/1.45 tff(f1999,plain,( 7.91/1.45 subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f988,f390])). 7.91/1.45 tff(f390,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK26(X0,X1,X2),X1) | subset(X0,X1,X2)) )), 7.91/1.45 inference(cnf_transformation,[],[f251])). 7.91/1.45 tff(f988,plain,( 7.91/1.45 ( ! [X4:uni] : (~mem(int,sK26(int,X4,diff(int,t2tb(sK0),t2tb(sK1))),t2tb(sK8)) | subset(int,X4,diff(int,t2tb(sK0),t2tb(sK1)))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f941,f391])). 7.91/1.45 tff(f391,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,sK26(X0,X1,X2),X2) | subset(X0,X1,X2)) )), 7.91/1.45 inference(cnf_transformation,[],[f251])). 7.91/1.45 tff(f1998,plain,( 7.91/1.45 spl30_9 | spl30_102 | ~spl30_2), 7.91/1.45 inference(avatar_split_clause,[],[f1066,f503,f1996,f541])). 7.91/1.45 tff(f541,plain,( 7.91/1.45 spl30_9 <=> $less(sK5,0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 7.91/1.45 tff(f1996,plain,( 7.91/1.45 spl30_102 <=> ! [X3 : map_int_int,X5 : $int,X4 : uni] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,X4,t2tb2(X3),X5) | ~$less(sK5,X5) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | ~partial_solution1(n1,X3) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 7.91/1.45 tff(f503,plain,( 7.91/1.45 spl30_2 <=> sK5 = sK11), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 7.91/1.45 tff(f1066,plain,( 7.91/1.45 ( ! [X4:uni,X5:$int,X3:map_int_int] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1) | ~partial_solution1(n1,X3) | ~$less(sK5,X5) | $less(sK5,0) | ~eq_prefix1(int,X4,t2tb2(X3),X5)) ) | ~spl30_2), 7.91/1.45 inference(superposition,[],[f1051,f429])). 7.91/1.45 tff(f1051,plain,( 7.91/1.45 ( ! [X17:map_int_int] : (~mem(int,get(int,int,t2tb2(X17),t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK5) | eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~partial_solution1(n1,X17)) ) | ~spl30_2), 7.91/1.45 inference(forward_demodulation,[],[f1050,f505])). 7.91/1.45 tff(f505,plain,( 7.91/1.45 sK5 = sK11 | ~spl30_2), 7.91/1.45 inference(avatar_component_clause,[],[f503])). 7.91/1.45 tff(f1050,plain,( 7.91/1.45 ( ! [X17:map_int_int] : (~mem(int,get(int,int,t2tb2(X17),t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) ) | ~spl30_2), 7.91/1.45 inference(forward_demodulation,[],[f301,f505])). 7.91/1.45 tff(f301,plain,( 7.91/1.45 ( ! [X17:map_int_int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f1942,plain,( 7.91/1.45 spl30_9 | spl30_101 | ~spl30_51), 7.91/1.45 inference(avatar_split_clause,[],[f895,f890,f1940,f541])). 7.91/1.45 tff(f1940,plain,( 7.91/1.45 spl30_101 <=> ! [X3 : $int,X2 : uni] : (t2tb1(min_elt1(sK8)) = get(int,int,X2,t2tb1(sK5)) | ~eq_prefix1(int,X2,t2tb2(sK13),X3) | ~$less(sK5,X3))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_101])])). 7.91/1.45 tff(f895,plain,( 7.91/1.45 ( ! [X2:uni,X3:$int] : (t2tb1(min_elt1(sK8)) = get(int,int,X2,t2tb1(sK5)) | ~$less(sK5,X3) | $less(sK5,0) | ~eq_prefix1(int,X2,t2tb2(sK13),X3)) ) | ~spl30_51), 7.91/1.45 inference(superposition,[],[f892,f429])). 7.91/1.45 tff(f1879,plain,( 7.91/1.45 spl30_9 | spl30_100 | ~spl30_51), 7.91/1.45 inference(avatar_split_clause,[],[f894,f890,f1877,f541])). 7.91/1.45 tff(f1877,plain,( 7.91/1.45 spl30_100 <=> ! [X1 : $int,X0 : uni] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~eq_prefix1(int,t2tb2(sK13),X0,X1) | ~$less(sK5,X1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 7.91/1.45 tff(f894,plain,( 7.91/1.45 ( ! [X0:uni,X1:$int] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~$less(sK5,X1) | $less(sK5,0) | ~eq_prefix1(int,t2tb2(sK13),X0,X1)) ) | ~spl30_51), 7.91/1.45 inference(superposition,[],[f892,f429])). 7.91/1.45 tff(f1875,plain,( 7.91/1.45 spl30_9 | spl30_99 | ~spl30_2), 7.91/1.45 inference(avatar_split_clause,[],[f1065,f503,f1873,f541])). 7.91/1.45 tff(f1873,plain,( 7.91/1.45 spl30_99 <=> ! [X1 : uni,X0 : map_int_int,X2 : $int] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(X0),X1,X2) | ~$less(sK5,X2) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | ~partial_solution1(n1,X0) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_99])])). 7.91/1.45 tff(f1065,plain,( 7.91/1.45 ( ! [X2:$int,X0:map_int_int,X1:uni] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | ~$less(sK5,X2) | $less(sK5,0) | ~eq_prefix1(int,t2tb2(X0),X1,X2)) ) | ~spl30_2), 7.91/1.45 inference(superposition,[],[f1051,f429])). 7.91/1.45 tff(f1563,plain,( 7.91/1.45 spl30_8 | spl30_98 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f616,f606,f1561,f535])). 7.91/1.45 tff(f1561,plain,( 7.91/1.45 spl30_98 <=> ! [X11 : $int,X13 : $int,X12 : $int,X14 : $int] : (sK15 != X11 | ~partial_solution1(X14,sK13) | ~$less(X12,X14) | $less(X12,0) | ~$less(sK16,X12) | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X12))) != X13 | $sum(X12,$uminus(sK16)) != $sum(X13,$uminus(X11)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 7.91/1.45 tff(f616,plain,( 7.91/1.45 ( ! [X14:$int,X12:$int,X13:$int,X11:$int] : (sK15 != X11 | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X12))) != X13 | $sum(X12,$uminus(sK16)) != $sum(X13,$uminus(X11)) | ~$less(sK16,X12) | $less(sK16,0) | $less(X12,0) | ~$less(X12,X14) | ~partial_solution1(X14,sK13)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f474,f608])). 7.91/1.45 tff(f474,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X0:$int,X7:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X4,$uminus(X5)) != $sum(X6,$uminus(X7)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(theory_flattening,[],[f348])). 7.91/1.45 tff(f348,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : ($sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X4,$uminus(X5)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f234])). 7.91/1.45 tff(f1559,plain,( 7.91/1.45 spl30_33 | spl30_96 | spl30_97), 7.91/1.45 inference(avatar_split_clause,[],[f872,f1556,f1552,f756])). 7.91/1.45 tff(f756,plain,( 7.91/1.45 spl30_33 <=> is_empty(int,t2tb(sK1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 7.91/1.45 tff(f1552,plain,( 7.91/1.45 spl30_96 <=> $less(tb2t1(sK21(int,t2tb(sK1))),0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 7.91/1.45 tff(f1556,plain,( 7.91/1.45 spl30_97 <=> $less(sK18(tb2t1(sK21(int,t2tb(sK1)))),sK5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_97])])). 7.91/1.45 tff(f872,plain,( 7.91/1.45 $less(sK18(tb2t1(sK21(int,t2tb(sK1)))),sK5) | $less(tb2t1(sK21(int,t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 7.91/1.45 inference(resolution,[],[f862,f342])). 7.91/1.45 tff(f342,plain,( 7.91/1.45 ( ! [X0:ty,X1:uni] : (mem(X0,sK21(X0,X1),X1) | is_empty(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f229])). 7.91/1.45 tff(f229,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1)))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 7.91/1.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f173,f228])). 7.91/1.45 tff(f228,plain,( 7.91/1.45 ! [X1 : uni,X0 : ty] : (? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2)) => (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1))))), 7.91/1.45 introduced(choice_axiom,[])). 7.91/1.45 tff(f173,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | ? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 7.91/1.45 inference(ennf_transformation,[],[f117])). 7.91/1.45 tff(f117,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : (sort1(X0,X2) => ~mem(X0,X2,X1)) => is_empty(X0,X1)) & (is_empty(X0,X1) => ! [X3 : uni] : ~mem(X0,X3,X1)))), 7.91/1.45 inference(rectify,[],[f10])). 7.91/1.45 tff(f10,axiom,( 7.91/1.45 ! [X2 : ty,X0 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => ~mem(X2,X1,X0)) => is_empty(X2,X0)) & (is_empty(X2,X0) => ! [X1 : uni] : ~mem(X2,X1,X0)))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_empty_def)). 7.91/1.45 tff(f862,plain,( 7.91/1.45 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK1)) | $less(sK18(tb2t1(X0)),sK5) | $less(tb2t1(X0),0)) )), 7.91/1.45 inference(superposition,[],[f859,f323])). 7.91/1.45 tff(f859,plain,( 7.91/1.45 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK18(X0),sK5) | $less(X0,0)) )), 7.91/1.45 inference(equality_resolution,[],[f792])). 7.91/1.45 tff(f792,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (sK5 != X1 | ~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK18(X0),X1) | $less(X0,0)) )), 7.91/1.45 inference(equality_resolution,[],[f450])). 7.91/1.45 tff(f450,plain,( 7.91/1.45 ( ! [X24:$int,X23:$int,X22:$int] : (sK18(X22) != X23 | ~mem(int,t2tb1(X22),t2tb(sK1)) | sK5 != X24 | $less(X23,X24) | $less(X22,0)) )), 7.91/1.45 inference(theory_flattening,[],[f284])). 7.91/1.45 tff(f284,plain,( 7.91/1.45 ( ! [X22:$int] : (~mem(int,t2tb1(X22),t2tb(sK1)) | $less(sK18(X22),sK5) | $less(X22,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f1550,plain,( 7.91/1.45 spl30_33 | spl30_94 | spl30_95), 7.91/1.45 inference(avatar_split_clause,[],[f869,f1547,f1543,f756])). 7.91/1.45 tff(f1543,plain,( 7.91/1.45 spl30_94 <=> $less(tb2t1(choose(int,t2tb(sK1))),0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 7.91/1.45 tff(f1547,plain,( 7.91/1.45 spl30_95 <=> $less(sK18(tb2t1(choose(int,t2tb(sK1)))),sK5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 7.91/1.45 tff(f869,plain,( 7.91/1.45 $less(sK18(tb2t1(choose(int,t2tb(sK1)))),sK5) | $less(tb2t1(choose(int,t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 7.91/1.45 inference(resolution,[],[f862,f343])). 7.91/1.45 tff(f343,plain,( 7.91/1.45 ( ! [X0:ty,X1:uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f174])). 7.91/1.45 tff(f174,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1))), 7.91/1.45 inference(ennf_transformation,[],[f118])). 7.91/1.45 tff(f118,plain,( 7.91/1.45 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 7.91/1.45 inference(rectify,[],[f12])). 7.91/1.45 tff(f12,axiom,( 7.91/1.45 ! [X2 : ty,X0 : uni] : (~is_empty(X2,X0) => mem(X2,choose(X2,X0),X0))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',choose_def)). 7.91/1.45 tff(f1529,plain,( 7.91/1.45 spl30_8 | spl30_93 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f615,f606,f1527,f535])). 7.91/1.45 tff(f1527,plain,( 7.91/1.45 spl30_93 <=> ! [X9 : $int,X7 : $int,X8 : $int,X10 : $int] : (sK15 != X7 | ~partial_solution1(X10,sK13) | ~$less(X8,X10) | $less(X8,0) | ~$less(sK16,X8) | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X8))) != X9 | $sum(sK16,$uminus(X8)) != $sum(X9,$uminus(X7)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 7.91/1.45 tff(f615,plain,( 7.91/1.45 ( ! [X10:$int,X8:$int,X7:$int,X9:$int] : (sK15 != X7 | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X8))) != X9 | $sum(sK16,$uminus(X8)) != $sum(X9,$uminus(X7)) | ~$less(sK16,X8) | $less(sK16,0) | $less(X8,0) | ~$less(X8,X10) | ~partial_solution1(X10,sK13)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f473,f608])). 7.91/1.45 tff(f473,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X0:$int,X7:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X5,$uminus(X4)) != $sum(X6,$uminus(X7)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(theory_flattening,[],[f349])). 7.91/1.45 tff(f349,plain,( 7.91/1.45 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : ($sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) != $sum(X5,$uminus(X4)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f234])). 7.91/1.45 tff(f1525,plain,( 7.91/1.45 spl30_90 | ~spl30_91 | spl30_92 | ~spl30_19 | ~spl30_82), 7.91/1.45 inference(avatar_split_clause,[],[f1448,f1418,f622,f1523,f1519,f1515])). 7.91/1.45 tff(f1515,plain,( 7.91/1.45 spl30_90 <=> lt_sol1(sK13,sK13)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_90])])). 7.91/1.45 tff(f1519,plain,( 7.91/1.45 spl30_91 <=> eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 7.91/1.45 tff(f1523,plain,( 7.91/1.45 spl30_92 <=> ! [X1 : $int,X0 : $int] : (sK15 != X0 | sK15 != X1 | ~$less(X0,X1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_92])])). 7.91/1.45 tff(f1448,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16) | ~$less(X0,X1) | lt_sol1(sK13,sK13) | sK15 != X1) ) | (~spl30_19 | ~spl30_82)), 7.91/1.45 inference(forward_demodulation,[],[f1440,f320])). 7.91/1.45 tff(f1440,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (tb2t1(t2tb1(sK15)) != X0 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16) | ~$less(X0,X1) | lt_sol1(sK13,sK13) | sK15 != X1) ) | (~spl30_19 | ~spl30_82)), 7.91/1.45 inference(superposition,[],[f1419,f624])). 7.91/1.45 tff(f1500,plain,( 7.91/1.45 spl30_84 | ~spl30_89 | ~spl30_87 | ~spl30_88 | ~spl30_83), 7.91/1.45 inference(avatar_split_clause,[],[f1456,f1435,f1492,f1488,f1497,f1460])). 7.91/1.45 tff(f1460,plain,( 7.91/1.45 spl30_84 <=> $less(sK14,0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 7.91/1.45 tff(f1497,plain,( 7.91/1.45 spl30_89 <=> $less(sK20(sK14),0)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 7.91/1.45 tff(f1488,plain,( 7.91/1.45 spl30_87 <=> $less(sK14,n1)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 7.91/1.45 tff(f1492,plain,( 7.91/1.45 spl30_88 <=> is_empty(int,t2tb(pred1(sK0)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_88])])). 7.91/1.45 tff(f1435,plain,( 7.91/1.45 spl30_83 <=> ! [X3 : set_int,X2 : $int] : (sK14 != X2 | ~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK5),t2tb(pred1(X3))))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_83])])). 7.91/1.45 tff(f1456,plain,( 7.91/1.45 ~is_empty(int,t2tb(pred1(sK0))) | ~$less(sK14,n1) | ~$less(sK20(sK14),0) | $less(sK14,0) | ~spl30_83), 7.91/1.45 inference(resolution,[],[f1453,f1105])). 7.91/1.45 tff(f1105,plain,( 7.91/1.45 ( ! [X0:$int] : (mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,n1) | ~$less(sK20(X0),0) | $less(X0,0)) )), 7.91/1.45 inference(equality_resolution,[],[f819])). 7.91/1.45 tff(f819,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (n1 != X0 | ~$less(X1,X0) | mem(int,t2tb1(X1),t2tb(sK0)) | ~$less(sK20(X1),0) | $less(X1,0)) )), 7.91/1.45 inference(equality_resolution,[],[f457])). 7.91/1.45 tff(f457,plain,( 7.91/1.45 ( ! [X30:$int,X28:$int,X29:$int] : (sK20(X28) != X30 | n1 != X29 | ~$less(X28,X29) | mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X30,0) | $less(X28,0)) )), 7.91/1.45 inference(theory_flattening,[],[f276])). 7.91/1.45 tff(f276,plain,( 7.91/1.45 ( ! [X28:$int] : (mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | ~$less(sK20(X28),0) | $less(X28,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f1453,plain,( 7.91/1.45 ( ! [X2:set_int] : (~mem(int,t2tb1(sK14),t2tb(X2)) | ~is_empty(int,t2tb(pred1(X2)))) ) | ~spl30_83), 7.91/1.45 inference(resolution,[],[f1438,f340])). 7.91/1.45 tff(f340,plain,( 7.91/1.45 ( ! [X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,X1) | ~is_empty(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f229])). 7.91/1.45 tff(f1438,plain,( 7.91/1.45 ( ! [X0:set_int] : (mem(int,t2tb1(sK5),t2tb(pred1(X0))) | ~mem(int,t2tb1(sK14),t2tb(X0))) ) | ~spl30_83), 7.91/1.45 inference(equality_resolution,[],[f1436])). 7.91/1.45 tff(f1436,plain,( 7.91/1.45 ( ! [X2:$int,X3:set_int] : (sK14 != X2 | ~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK5),t2tb(pred1(X3)))) ) | ~spl30_83), 7.91/1.45 inference(avatar_component_clause,[],[f1435])). 7.91/1.45 tff(f1495,plain,( 7.91/1.45 spl30_84 | spl30_86 | ~spl30_87 | ~spl30_88 | ~spl30_83), 7.91/1.45 inference(avatar_split_clause,[],[f1455,f1435,f1492,f1488,f1484,f1460])). 7.91/1.45 tff(f1484,plain,( 7.91/1.45 spl30_86 <=> $less(sK20(sK14),sK5)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_86])])). 7.91/1.45 tff(f1455,plain,( 7.91/1.45 ~is_empty(int,t2tb(pred1(sK0))) | ~$less(sK14,n1) | $less(sK20(sK14),sK5) | $less(sK14,0) | ~spl30_83), 7.91/1.45 inference(resolution,[],[f1453,f1413])). 7.91/1.45 tff(f1413,plain,( 7.91/1.45 ( ! [X0:$int] : (mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,n1) | $less(sK20(X0),sK5) | $less(X0,0)) )), 7.91/1.45 inference(equality_resolution,[],[f1199])). 7.91/1.45 tff(f1199,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (n1 != X1 | mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,X1) | $less(sK20(X0),sK5) | $less(X0,0)) )), 7.91/1.45 inference(equality_resolution,[],[f840])). 7.91/1.45 tff(f840,plain,( 7.91/1.45 ( ! [X2:$int,X0:$int,X1:$int] : (sK5 != X2 | ~$less(X1,X0) | mem(int,t2tb1(X1),t2tb(sK0)) | n1 != X0 | $less(sK20(X1),X2) | $less(X1,0)) )), 7.91/1.45 inference(equality_resolution,[],[f458])). 7.91/1.45 tff(f458,plain,( 7.91/1.45 ( ! [X30:$int,X28:$int,X31:$int,X29:$int] : (sK20(X28) != X30 | n1 != X29 | ~$less(X28,X29) | mem(int,t2tb1(X28),t2tb(sK0)) | sK5 != X31 | $less(X30,X31) | $less(X28,0)) )), 7.91/1.45 inference(theory_flattening,[],[f275])). 7.91/1.45 tff(f275,plain,( 7.91/1.45 ( ! [X28:$int] : (mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | $less(sK20(X28),sK5) | $less(X28,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f227])). 7.91/1.45 tff(f1466,plain,( 7.91/1.45 spl30_84 | spl30_85 | ~spl30_83), 7.91/1.45 inference(avatar_split_clause,[],[f1454,f1435,f1464,f1460])). 7.91/1.45 tff(f1464,plain,( 7.91/1.45 spl30_85 <=> ! [X0 : $int] : (~is_empty(int,t2tb(pred1(below1(X0)))) | ~$less(sK14,X0))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_85])])). 7.91/1.45 tff(f1454,plain,( 7.91/1.45 ( ! [X0:$int] : (~is_empty(int,t2tb(pred1(below1(X0)))) | $less(sK14,0) | ~$less(sK14,X0)) ) | ~spl30_83), 7.91/1.45 inference(resolution,[],[f1453,f366])). 7.91/1.45 tff(f366,plain,( 7.91/1.45 ( ! [X0:$int,X1:$int] : (mem(int,t2tb1(X0),t2tb(below1(X1))) | $less(X0,0) | ~$less(X0,X1)) )), 7.91/1.45 inference(cnf_transformation,[],[f241])). 7.91/1.45 tff(f241,plain,( 7.91/1.45 ! [X0 : $int,X1 : $int] : (((~$less(X0,0) & $less(X0,X1)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | $less(X0,0) | ~$less(X0,X1)))), 7.91/1.45 inference(flattening,[],[f240])). 7.91/1.45 tff(f240,plain,( 7.91/1.45 ! [X0 : $int,X1 : $int] : (((~$less(X0,0) & $less(X0,X1)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | ($less(X0,0) | ~$less(X0,X1))))), 7.91/1.45 inference(nnf_transformation,[],[f129])). 7.91/1.45 tff(f129,plain,( 7.91/1.45 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) <=> mem(int,t2tb1(X0),t2tb(below1(X1))))), 7.91/1.45 inference(rectify,[],[f86])). 7.91/1.45 tff(f86,plain,( 7.91/1.45 ! [X1 : $int,X13 : $int] : ((~$less(X1,0) & $less(X1,X13)) <=> mem(int,t2tb1(X1),t2tb(below1(X13))))), 7.91/1.45 inference(theory_normalization,[],[f20])). 7.91/1.45 tff(f20,axiom,( 7.91/1.45 ! [X1 : $int,X13 : $int] : (($lesseq(0,X1) & $less(X1,X13)) <=> mem(int,t2tb1(X1),t2tb(below1(X13))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',below_def)). 7.91/1.45 tff(f1437,plain,( 7.91/1.45 spl30_9 | spl30_83 | ~spl30_22), 7.91/1.45 inference(avatar_split_clause,[],[f666,f661,f1435,f541])). 7.91/1.45 tff(f661,plain,( 7.91/1.45 spl30_22 <=> sK14 = $sum(sK5,1)), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_22])])). 7.91/1.45 tff(f666,plain,( 7.91/1.45 ( ! [X2:$int,X3:set_int] : (sK14 != X2 | mem(int,t2tb1(sK5),t2tb(pred1(X3))) | ~mem(int,t2tb1(X2),t2tb(X3)) | $less(sK5,0)) ) | ~spl30_22), 7.91/1.45 inference(superposition,[],[f479,f663])). 7.91/1.45 tff(f663,plain,( 7.91/1.45 sK14 = $sum(sK5,1) | ~spl30_22), 7.91/1.45 inference(avatar_component_clause,[],[f661])). 7.91/1.45 tff(f479,plain,( 7.91/1.45 ( ! [X2:$int,X0:set_int,X1:$int] : ($sum(X1,1) != X2 | mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1(X2),t2tb(X0)) | $less(X1,0)) )), 7.91/1.45 inference(theory_flattening,[],[f363])). 7.91/1.45 tff(f363,plain,( 7.91/1.45 ( ! [X0:set_int,X1:$int] : (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f239])). 7.91/1.45 tff(f239,plain,( 7.91/1.45 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)))), 7.91/1.45 inference(flattening,[],[f238])). 7.91/1.45 tff(f238,plain,( 7.91/1.45 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | (~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0))))), 7.91/1.45 inference(nnf_transformation,[],[f128])). 7.91/1.45 tff(f128,plain,( 7.91/1.45 ! [X0 : set_int,X1 : $int] : ((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) <=> mem(int,t2tb1(X1),t2tb(pred1(X0))))), 7.91/1.45 inference(rectify,[],[f85])). 7.91/1.45 tff(f85,plain,( 7.91/1.45 ! [X0 : set_int,X6 : $int] : ((mem(int,t2tb1($sum(X6,1)),t2tb(X0)) & ~$less(X6,0)) <=> mem(int,t2tb1(X6),t2tb(pred1(X0))))), 7.91/1.45 inference(theory_normalization,[],[f54])). 7.91/1.45 tff(f54,axiom,( 7.91/1.45 ! [X0 : set_int,X6 : $int] : ((mem(int,t2tb1($sum(X6,1)),t2tb(X0)) & $lesseq(0,X6)) <=> mem(int,t2tb1(X6),t2tb(pred1(X0))))), 7.91/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_def)). 7.91/1.45 tff(f1420,plain,( 7.91/1.45 spl30_8 | spl30_81 | spl30_82 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f618,f606,f1418,f1415,f535])). 7.91/1.45 tff(f1415,plain,( 7.91/1.45 spl30_81 <=> ! [X18 : $int] : (n1 != X18 | ~$less(sK16,X18))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_81])])). 7.91/1.45 tff(f618,plain,( 7.91/1.45 ( ! [X19:map_int_int,X17:$int,X20:$int,X18:$int] : (sK15 != X17 | n1 != X18 | ~$less(sK16,X18) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | lt_sol1(X19,sK13) | ~$less(X20,X17) | $less(sK16,0)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f483,f608])). 7.91/1.45 tff(f483,plain,( 7.91/1.45 ( ! [X6:$int,X4:$int,X0:map_int_int,X5:$int,X3:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) != X6 | n1 != X4 | ~$less(X3,X4) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))) != X5 | lt_sol1(X0,X1) | ~$less(X5,X6) | $less(X3,0)) )), 7.91/1.45 inference(theory_flattening,[],[f369])). 7.91/1.45 tff(f369,plain,( 7.91/1.45 ( ! [X0:map_int_int,X3:$int,X1:map_int_int] : (lt_sol1(X0,X1) | ~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0)) )), 7.91/1.45 inference(cnf_transformation,[],[f245])). 7.91/1.45 tff(f1304,plain,( 7.91/1.45 ~spl30_80 | spl30_76 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f943,f727,f1125,f1301])). 7.91/1.45 tff(f1301,plain,( 7.91/1.45 spl30_80 <=> is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 7.91/1.45 tff(f1125,plain,( 7.91/1.45 spl30_76 <=> ! [X2 : uni] : ~mem(int,X2,t2tb(sK8))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 7.91/1.45 tff(f943,plain,( 7.91/1.45 ( ! [X2:uni] : (~mem(int,X2,t2tb(sK8)) | ~is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f732,f340])). 7.91/1.45 tff(f1256,plain,( 7.91/1.45 spl30_8 | spl30_79 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f613,f606,f1254,f535])). 7.91/1.45 tff(f613,plain,( 7.91/1.45 ( ! [X2:$int,X3:$int] : (sK15 != tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) | ~$less(sK16,X2) | $less(sK16,0) | $less(X2,0) | ~$less(X2,X3) | ~partial_solution1(X3,sK13)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f350,f608])). 7.91/1.45 tff(f1164,plain,( 7.91/1.45 spl30_8 | spl30_78 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f611,f606,f1162,f535])). 7.91/1.45 tff(f611,plain,( 7.91/1.45 ( ! [X2:uni,X3:$int] : (sK15 = tb2t1(get(int,int,X2,t2tb1(sK16))) | ~$less(sK16,X3) | $less(sK16,0) | ~eq_prefix1(int,X2,t2tb2(sK13),X3)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f608,f429])). 7.91/1.45 tff(f1155,plain,( 7.91/1.45 spl30_77 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f1150,f727,f1152])). 7.91/1.45 tff(f1152,plain,( 7.91/1.45 spl30_77 <=> subset(int,t2tb(sK8),t2tb(sK0))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_77])])). 7.91/1.45 tff(f1150,plain,( 7.91/1.45 subset(int,t2tb(sK8),t2tb(sK0)) | ~spl30_30), 7.91/1.45 inference(duplicate_literal_removal,[],[f1148])). 7.91/1.45 tff(f1148,plain,( 7.91/1.45 subset(int,t2tb(sK8),t2tb(sK0)) | subset(int,t2tb(sK8),t2tb(sK0)) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f994,f391])). 7.91/1.45 tff(f994,plain,( 7.91/1.45 ( ! [X1:uni] : (mem(int,sK26(int,t2tb(sK8),X1),t2tb(sK0)) | subset(int,t2tb(sK8),X1)) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f984,f390])). 7.91/1.45 tff(f1127,plain,( 7.91/1.45 ~spl30_75 | spl30_76 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f986,f727,f1125,f1121])). 7.91/1.45 tff(f1121,plain,( 7.91/1.45 spl30_75 <=> is_empty(int,diff(int,t2tb(sK0),t2tb(sK1)))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_75])])). 7.91/1.45 tff(f986,plain,( 7.91/1.45 ( ! [X2:uni] : (~mem(int,X2,t2tb(sK8)) | ~is_empty(int,diff(int,t2tb(sK0),t2tb(sK1)))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f941,f340])). 7.91/1.45 tff(f1119,plain,( 7.91/1.45 spl30_8 | spl30_74 | ~spl30_18), 7.91/1.45 inference(avatar_split_clause,[],[f610,f606,f1117,f535])). 7.91/1.45 tff(f610,plain,( 7.91/1.45 ( ! [X0:uni,X1:$int] : (sK15 = tb2t1(get(int,int,X0,t2tb1(sK16))) | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,t2tb2(sK13),X0,X1)) ) | ~spl30_18), 7.91/1.45 inference(superposition,[],[f608,f429])). 7.91/1.45 tff(f1115,plain,( 7.91/1.45 spl30_7 | ~spl30_73 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f1000,f727,f1112,f529])). 7.91/1.45 tff(f529,plain,( 7.91/1.45 spl30_7 <=> is_empty(int,t2tb(sK8))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_7])])). 7.91/1.45 tff(f1112,plain,( 7.91/1.45 spl30_73 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 7.91/1.45 tff(f1000,plain,( 7.91/1.45 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f985,f342])). 7.91/1.45 tff(f985,plain,( 7.91/1.45 ( ! [X1:uni] : (~mem(int,X1,t2tb(sK8)) | ~mem(int,X1,t2tb(sK1))) ) | ~spl30_30), 7.91/1.45 inference(resolution,[],[f941,f422])). 7.91/1.45 tff(f422,plain,( 7.91/1.45 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,diff(X0,X1,X2)) | ~mem(X0,X3,X2)) )), 7.91/1.45 inference(cnf_transformation,[],[f263])). 7.91/1.45 tff(f1110,plain,( 7.91/1.45 spl30_7 | ~spl30_72 | ~spl30_30), 7.91/1.45 inference(avatar_split_clause,[],[f997,f727,f1107,f529])). 7.91/1.45 tff(f1107,plain,( 7.91/1.45 spl30_72 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK1))), 7.91/1.45 introduced(avatar_definition,[new_symbols(naming,[spl30_72])])). 7.91/1.46 tff(f997,plain,( 7.91/1.46 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f985,f343])). 7.91/1.46 tff(f1104,plain,( 7.91/1.46 ~spl30_71 | ~spl30_69), 7.91/1.46 inference(avatar_split_clause,[],[f1093,f1087,f1101])). 7.91/1.46 tff(f1101,plain,( 7.91/1.46 spl30_71 <=> $less(tb2t1(sK21(int,t2tb(sK8))),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_71])])). 7.91/1.46 tff(f1087,plain,( 7.91/1.46 spl30_69 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK0))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 7.91/1.46 tff(f1093,plain,( 7.91/1.46 ~$less(tb2t1(sK21(int,t2tb(sK8))),0) | ~spl30_69), 7.91/1.46 inference(resolution,[],[f1089,f560])). 7.91/1.46 tff(f1089,plain,( 7.91/1.46 mem(int,sK21(int,t2tb(sK8)),t2tb(sK0)) | ~spl30_69), 7.91/1.46 inference(avatar_component_clause,[],[f1087])). 7.91/1.46 tff(f1099,plain,( 7.91/1.46 spl30_70 | ~spl30_69), 7.91/1.46 inference(avatar_split_clause,[],[f1092,f1087,f1096])). 7.91/1.46 tff(f1096,plain,( 7.91/1.46 spl30_70 <=> $less(tb2t1(sK21(int,t2tb(sK8))),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 7.91/1.46 tff(f1092,plain,( 7.91/1.46 $less(tb2t1(sK21(int,t2tb(sK8))),n1) | ~spl30_69), 7.91/1.46 inference(resolution,[],[f1089,f677])). 7.91/1.46 tff(f1090,plain,( 7.91/1.46 spl30_7 | spl30_69 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f992,f727,f1087,f529])). 7.91/1.46 tff(f992,plain,( 7.91/1.46 mem(int,sK21(int,t2tb(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f984,f342])). 7.91/1.46 tff(f1085,plain,( 7.91/1.46 ~spl30_68 | ~spl30_66), 7.91/1.46 inference(avatar_split_clause,[],[f1073,f1068,f1082])). 7.91/1.46 tff(f1082,plain,( 7.91/1.46 spl30_68 <=> $less(tb2t1(choose(int,t2tb(sK8))),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_68])])). 7.91/1.46 tff(f1068,plain,( 7.91/1.46 spl30_66 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK0))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 7.91/1.46 tff(f1073,plain,( 7.91/1.46 ~$less(tb2t1(choose(int,t2tb(sK8))),0) | ~spl30_66), 7.91/1.46 inference(resolution,[],[f1070,f560])). 7.91/1.46 tff(f1070,plain,( 7.91/1.46 mem(int,choose(int,t2tb(sK8)),t2tb(sK0)) | ~spl30_66), 7.91/1.46 inference(avatar_component_clause,[],[f1068])). 7.91/1.46 tff(f1079,plain,( 7.91/1.46 spl30_67 | ~spl30_66), 7.91/1.46 inference(avatar_split_clause,[],[f1072,f1068,f1076])). 7.91/1.46 tff(f1076,plain,( 7.91/1.46 spl30_67 <=> $less(tb2t1(choose(int,t2tb(sK8))),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_67])])). 7.91/1.46 tff(f1072,plain,( 7.91/1.46 $less(tb2t1(choose(int,t2tb(sK8))),n1) | ~spl30_66), 7.91/1.46 inference(resolution,[],[f1070,f677])). 7.91/1.46 tff(f1071,plain,( 7.91/1.46 spl30_7 | spl30_66 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f989,f727,f1068,f529])). 7.91/1.46 tff(f989,plain,( 7.91/1.46 mem(int,choose(int,t2tb(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f984,f343])). 7.91/1.46 tff(f1061,plain,( 7.91/1.46 spl30_7 | ~spl30_65 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f999,f727,f1058,f529])). 7.91/1.46 tff(f999,plain,( 7.91/1.46 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f985,f332])). 7.91/1.46 tff(f332,plain,( 7.91/1.46 ( ! [X0:set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 7.91/1.46 inference(cnf_transformation,[],[f170])). 7.91/1.46 tff(f170,plain,( 7.91/1.46 ! [X0 : set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 7.91/1.46 inference(ennf_transformation,[],[f30])). 7.91/1.46 tff(f30,axiom,( 7.91/1.46 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(min_elt1(X0)),t2tb(X0)))), 7.91/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_elt_def1)). 7.91/1.46 tff(f1056,plain,( 7.91/1.46 spl30_7 | ~spl30_64 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f998,f727,f1053,f529])). 7.91/1.46 tff(f1053,plain,( 7.91/1.46 spl30_64 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 7.91/1.46 tff(f998,plain,( 7.91/1.46 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f985,f331])). 7.91/1.46 tff(f331,plain,( 7.91/1.46 ( ! [X0:set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 7.91/1.46 inference(cnf_transformation,[],[f169])). 7.91/1.46 tff(f169,plain,( 7.91/1.46 ! [X0 : set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 7.91/1.46 inference(ennf_transformation,[],[f40])). 7.91/1.46 tff(f40,axiom,( 7.91/1.46 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(max_elt1(X0)),t2tb(X0)))), 7.91/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_elt_def1)). 7.91/1.46 tff(f1049,plain,( 7.91/1.46 spl30_63 | ~spl30_62), 7.91/1.46 inference(avatar_split_clause,[],[f1040,f1031,f1043])). 7.91/1.46 tff(f1043,plain,( 7.91/1.46 spl30_63 <=> $less(min_elt1(sK8),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 7.91/1.46 tff(f1040,plain,( 7.91/1.46 $less(min_elt1(sK8),n1) | ~spl30_62), 7.91/1.46 inference(forward_demodulation,[],[f1037,f320])). 7.91/1.46 tff(f1037,plain,( 7.91/1.46 $less(tb2t1(t2tb1(min_elt1(sK8))),n1) | ~spl30_62), 7.91/1.46 inference(resolution,[],[f1033,f677])). 7.91/1.46 tff(f1048,plain,( 7.91/1.46 ~spl30_54 | ~spl30_62), 7.91/1.46 inference(avatar_split_clause,[],[f1036,f1031,f924])). 7.91/1.46 tff(f924,plain,( 7.91/1.46 spl30_54 <=> $less(min_elt1(sK8),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 7.91/1.46 tff(f1036,plain,( 7.91/1.46 ~$less(min_elt1(sK8),0) | ~spl30_62), 7.91/1.46 inference(resolution,[],[f1033,f272])). 7.91/1.46 tff(f1046,plain,( 7.91/1.46 spl30_63 | ~spl30_62), 7.91/1.46 inference(avatar_split_clause,[],[f1035,f1031,f1043])). 7.91/1.46 tff(f1035,plain,( 7.91/1.46 $less(min_elt1(sK8),n1) | ~spl30_62), 7.91/1.46 inference(resolution,[],[f1033,f668])). 7.91/1.46 tff(f1034,plain,( 7.91/1.46 spl30_7 | spl30_62 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f991,f727,f1031,f529])). 7.91/1.46 tff(f991,plain,( 7.91/1.46 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f984,f332])). 7.91/1.46 tff(f1028,plain,( 7.91/1.46 ~spl30_61 | ~spl30_59), 7.91/1.46 inference(avatar_split_clause,[],[f1014,f1004,f1023])). 7.91/1.46 tff(f1023,plain,( 7.91/1.46 spl30_61 <=> $less(max_elt1(sK8),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_61])])). 7.91/1.46 tff(f1004,plain,( 7.91/1.46 spl30_59 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_59])])). 7.91/1.46 tff(f1014,plain,( 7.91/1.46 ~$less(max_elt1(sK8),0) | ~spl30_59), 7.91/1.46 inference(forward_demodulation,[],[f1011,f320])). 7.91/1.46 tff(f1011,plain,( 7.91/1.46 ~$less(tb2t1(t2tb1(max_elt1(sK8))),0) | ~spl30_59), 7.91/1.46 inference(resolution,[],[f1006,f560])). 7.91/1.46 tff(f1006,plain,( 7.91/1.46 mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0)) | ~spl30_59), 7.91/1.46 inference(avatar_component_clause,[],[f1004])). 7.91/1.46 tff(f1027,plain,( 7.91/1.46 spl30_60 | ~spl30_59), 7.91/1.46 inference(avatar_split_clause,[],[f1013,f1004,f1016])). 7.91/1.46 tff(f1016,plain,( 7.91/1.46 spl30_60 <=> $less(max_elt1(sK8),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 7.91/1.46 tff(f1013,plain,( 7.91/1.46 $less(max_elt1(sK8),n1) | ~spl30_59), 7.91/1.46 inference(forward_demodulation,[],[f1010,f320])). 7.91/1.46 tff(f1010,plain,( 7.91/1.46 $less(tb2t1(t2tb1(max_elt1(sK8))),n1) | ~spl30_59), 7.91/1.46 inference(resolution,[],[f1006,f677])). 7.91/1.46 tff(f1026,plain,( 7.91/1.46 ~spl30_61 | ~spl30_59), 7.91/1.46 inference(avatar_split_clause,[],[f1009,f1004,f1023])). 7.91/1.46 tff(f1009,plain,( 7.91/1.46 ~$less(max_elt1(sK8),0) | ~spl30_59), 7.91/1.46 inference(resolution,[],[f1006,f272])). 7.91/1.46 tff(f1019,plain,( 7.91/1.46 spl30_60 | ~spl30_59), 7.91/1.46 inference(avatar_split_clause,[],[f1008,f1004,f1016])). 7.91/1.46 tff(f1008,plain,( 7.91/1.46 $less(max_elt1(sK8),n1) | ~spl30_59), 7.91/1.46 inference(resolution,[],[f1006,f668])). 7.91/1.46 tff(f1007,plain,( 7.91/1.46 spl30_7 | spl30_59 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f990,f727,f1004,f529])). 7.91/1.46 tff(f990,plain,( 7.91/1.46 mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f984,f331])). 7.91/1.46 tff(f983,plain,( 7.91/1.46 spl30_7 | ~spl30_58 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f949,f727,f980,f529])). 7.91/1.46 tff(f980,plain,( 7.91/1.46 spl30_58 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK2))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 7.91/1.46 tff(f949,plain,( 7.91/1.46 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f942,f342])). 7.91/1.46 tff(f942,plain,( 7.91/1.46 ( ! [X1:uni] : (~mem(int,X1,t2tb(sK8)) | ~mem(int,X1,t2tb(sK2))) ) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f732,f422])). 7.91/1.46 tff(f972,plain,( 7.91/1.46 spl30_7 | ~spl30_57 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f946,f727,f969,f529])). 7.91/1.46 tff(f969,plain,( 7.91/1.46 spl30_57 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK2))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_57])])). 7.91/1.46 tff(f946,plain,( 7.91/1.46 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f942,f343])). 7.91/1.46 tff(f967,plain,( 7.91/1.46 spl30_7 | ~spl30_56 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f948,f727,f964,f529])). 7.91/1.46 tff(f948,plain,( 7.91/1.46 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f942,f332])). 7.91/1.46 tff(f956,plain,( 7.91/1.46 spl30_7 | ~spl30_55 | ~spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f947,f727,f953,f529])). 7.91/1.46 tff(f953,plain,( 7.91/1.46 spl30_55 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_55])])). 7.91/1.46 tff(f947,plain,( 7.91/1.46 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_30), 7.91/1.46 inference(resolution,[],[f942,f331])). 7.91/1.46 tff(f927,plain,( 7.91/1.46 ~spl30_54 | ~spl30_53), 7.91/1.46 inference(avatar_split_clause,[],[f922,f919,f924])). 7.91/1.46 tff(f919,plain,( 7.91/1.46 spl30_53 <=> ! [X15 : $int] : (min_elt1(sK8) != X15 | ~$less(X15,0))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_53])])). 7.91/1.46 tff(f922,plain,( 7.91/1.46 ~$less(min_elt1(sK8),0) | ~spl30_53), 7.91/1.46 inference(equality_resolution,[],[f920])). 7.91/1.46 tff(f920,plain,( 7.91/1.46 ( ! [X15:$int] : (min_elt1(sK8) != X15 | ~$less(X15,0)) ) | ~spl30_53), 7.91/1.46 inference(avatar_component_clause,[],[f919])). 7.91/1.46 tff(f921,plain,( 7.91/1.46 spl30_52 | spl30_9 | spl30_53 | ~spl30_51), 7.91/1.46 inference(avatar_split_clause,[],[f911,f890,f919,f541,f916])). 7.91/1.46 tff(f916,plain,( 7.91/1.46 spl30_52 <=> ! [X16 : $int] : (~$less(sK5,X16) | ~partial_solution1(X16,sK13))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 7.91/1.46 tff(f911,plain,( 7.91/1.46 ( ! [X15:$int,X16:$int] : (min_elt1(sK8) != X15 | ~$less(X15,0) | $less(sK5,0) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_51), 7.91/1.46 inference(forward_demodulation,[],[f901,f320])). 7.91/1.46 tff(f901,plain,( 7.91/1.46 ( ! [X15:$int,X16:$int] : (tb2t1(t2tb1(min_elt1(sK8))) != X15 | ~$less(X15,0) | $less(sK5,0) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_51), 7.91/1.46 inference(superposition,[],[f475,f892])). 7.91/1.46 tff(f893,plain,( 7.91/1.46 ~spl30_47 | spl30_51 | ~spl30_29), 7.91/1.46 inference(avatar_split_clause,[],[f723,f719,f890,f830])). 7.91/1.46 tff(f830,plain,( 7.91/1.46 spl30_47 <=> sort1(int,t2tb1(min_elt1(sK8)))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_47])])). 7.91/1.46 tff(f723,plain,( 7.91/1.46 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~spl30_29), 7.91/1.46 inference(superposition,[],[f436,f721])). 7.91/1.46 tff(f436,plain,( 7.91/1.46 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X1:ty] : (get(X1,X0,set1(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )), 7.91/1.46 inference(equality_resolution,[],[f432])). 7.91/1.46 tff(f432,plain,( 7.91/1.46 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5)) )), 7.91/1.46 inference(cnf_transformation,[],[f213])). 7.91/1.46 tff(f213,plain,( 7.91/1.46 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5))), 7.91/1.46 inference(flattening,[],[f212])). 7.91/1.46 tff(f212,plain,( 7.91/1.46 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort1(X1,X5))), 7.91/1.46 inference(ennf_transformation,[],[f165])). 7.91/1.46 tff(f165,plain,( 7.91/1.46 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X5) => (X3 = X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5))), 7.91/1.46 inference(rectify,[],[f32])). 7.91/1.46 tff(f32,axiom,( 7.91/1.46 ! [X2 : ty,X9 : ty,X27 : uni,X28 : uni,X29 : uni,X30 : uni] : (sort1(X9,X30) => (X28 = X29 => get(X9,X2,set1(X9,X2,X27,X28,X30),X29) = X30))), 7.91/1.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq)). 7.91/1.46 tff(f867,plain,( 7.91/1.46 spl30_33 | spl30_34 | spl30_50), 7.91/1.46 inference(avatar_split_clause,[],[f860,f864,f760,f756])). 7.91/1.46 tff(f760,plain,( 7.91/1.46 spl30_34 <=> $less(max_elt1(sK1),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 7.91/1.46 tff(f864,plain,( 7.91/1.46 spl30_50 <=> $less(sK18(max_elt1(sK1)),sK5)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 7.91/1.46 tff(f860,plain,( 7.91/1.46 $less(sK18(max_elt1(sK1)),sK5) | $less(max_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 7.91/1.46 inference(resolution,[],[f859,f331])). 7.91/1.46 tff(f855,plain,( 7.91/1.46 ~spl30_44 | ~spl30_48), 7.91/1.46 inference(avatar_split_clause,[],[f844,f834,f814])). 7.91/1.46 tff(f814,plain,( 7.91/1.46 spl30_44 <=> $less(sK15,0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_44])])). 7.91/1.46 tff(f844,plain,( 7.91/1.46 ~$less(sK15,0) | ~spl30_48), 7.91/1.46 inference(resolution,[],[f836,f272])). 7.91/1.46 tff(f854,plain,( 7.91/1.46 spl30_49 | ~spl30_48), 7.91/1.46 inference(avatar_split_clause,[],[f843,f834,f851])). 7.91/1.46 tff(f851,plain,( 7.91/1.46 spl30_49 <=> $less(sK15,n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_49])])). 7.91/1.46 tff(f843,plain,( 7.91/1.46 $less(sK15,n1) | ~spl30_48), 7.91/1.46 inference(resolution,[],[f836,f668])). 7.91/1.46 tff(f842,plain,( 7.91/1.46 spl30_47), 7.91/1.46 inference(avatar_contradiction_clause,[],[f841])). 7.91/1.46 tff(f841,plain,( 7.91/1.46 $false | spl30_47), 7.91/1.46 inference(resolution,[],[f832,f314])). 7.91/1.46 tff(f832,plain,( 7.91/1.46 ~sort1(int,t2tb1(min_elt1(sK8))) | spl30_47), 7.91/1.46 inference(avatar_component_clause,[],[f830])). 7.91/1.46 tff(f839,plain,( 7.91/1.46 spl30_46), 7.91/1.46 inference(avatar_contradiction_clause,[],[f838])). 7.91/1.46 tff(f838,plain,( 7.91/1.46 $false | spl30_46), 7.91/1.46 inference(resolution,[],[f828,f314])). 7.91/1.46 tff(f828,plain,( 7.91/1.46 ~sort1(int,t2tb1(sK15)) | spl30_46), 7.91/1.46 inference(avatar_component_clause,[],[f826])). 7.91/1.46 tff(f837,plain,( 7.91/1.46 ~spl30_46 | ~spl30_47 | spl30_48 | ~spl30_20), 7.91/1.46 inference(avatar_split_clause,[],[f651,f646,f834,f830,f826])). 7.91/1.46 tff(f651,plain,( 7.91/1.46 mem(int,t2tb1(sK15),t2tb(sK0)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~sort1(int,t2tb1(sK15)) | ~spl30_20), 7.91/1.46 inference(resolution,[],[f648,f414])). 7.91/1.46 tff(f414,plain,( 7.91/1.46 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,remove(X0,X2,X3)) | mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 7.91/1.46 inference(cnf_transformation,[],[f259])). 7.91/1.46 tff(f824,plain,( 7.91/1.46 ~spl30_45 | ~spl30_15 | ~spl30_42), 7.91/1.46 inference(avatar_split_clause,[],[f818,f806,f581,f821])). 7.91/1.46 tff(f821,plain,( 7.91/1.46 spl30_45 <=> partial_solution1(sK14,sK13)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 7.91/1.46 tff(f818,plain,( 7.91/1.46 ~partial_solution1(sK14,sK13) | (~spl30_15 | ~spl30_42)), 7.91/1.46 inference(resolution,[],[f807,f583])). 7.91/1.46 tff(f807,plain,( 7.91/1.46 ( ! [X16:$int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_42), 7.91/1.46 inference(avatar_component_clause,[],[f806])). 7.91/1.46 tff(f817,plain,( 7.91/1.46 ~spl30_44 | ~spl30_43), 7.91/1.46 inference(avatar_split_clause,[],[f812,f809,f814])). 7.91/1.46 tff(f812,plain,( 7.91/1.46 ~$less(sK15,0) | ~spl30_43), 7.91/1.46 inference(equality_resolution,[],[f810])). 7.91/1.46 tff(f810,plain,( 7.91/1.46 ( ! [X15:$int] : (sK15 != X15 | ~$less(X15,0)) ) | ~spl30_43), 7.91/1.46 inference(avatar_component_clause,[],[f809])). 7.91/1.46 tff(f811,plain,( 7.91/1.46 spl30_42 | spl30_8 | spl30_43 | ~spl30_18), 7.91/1.46 inference(avatar_split_clause,[],[f617,f606,f809,f535,f806])). 7.91/1.46 tff(f617,plain,( 7.91/1.46 ( ! [X15:$int,X16:$int] : (sK15 != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_18), 7.91/1.46 inference(superposition,[],[f475,f608])). 7.91/1.46 tff(f800,plain,( 7.91/1.46 spl30_41), 7.91/1.46 inference(avatar_split_clause,[],[f794,f797])). 7.91/1.46 tff(f797,plain,( 7.91/1.46 spl30_41 <=> n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 7.91/1.46 tff(f794,plain,( 7.91/1.46 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 7.91/1.46 inference(equality_resolution,[],[f793])). 7.91/1.46 tff(f793,plain,( 7.91/1.46 ( ! [X0:$int] : (n1 != X0 | $sum(sK5,cardinal1(int,t2tb(sK0))) = X0) )), 7.91/1.46 inference(equality_resolution,[],[f769])). 7.91/1.46 tff(f769,plain,( 7.91/1.46 ( ! [X0:$int,X1:$int] : (sK5 != X0 | n1 != X1 | $sum(X0,cardinal1(int,t2tb(sK0))) = X1) )), 7.91/1.46 inference(equality_resolution,[],[f462])). 7.91/1.46 tff(f462,plain,( 7.91/1.46 ( ! [X2:$int,X3:$int,X1:$int] : (cardinal1(int,t2tb(sK0)) != X3 | sK5 != X2 | n1 != X1 | $sum(X2,X3) = X1) )), 7.91/1.46 inference(theory_flattening,[],[f270])). 7.91/1.46 tff(f270,plain,( 7.91/1.46 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f791,plain,( 7.91/1.46 spl30_38 | spl30_39 | ~spl30_40), 7.91/1.46 inference(avatar_split_clause,[],[f752,f788,f784,f780])). 7.91/1.46 tff(f780,plain,( 7.91/1.46 spl30_38 <=> is_empty(int,t2tb(sK2))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 7.91/1.46 tff(f784,plain,( 7.91/1.46 spl30_39 <=> $less(max_elt1(sK2),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_39])])). 7.91/1.46 tff(f788,plain,( 7.91/1.46 spl30_40 <=> $less(sK19(max_elt1(sK2)),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_40])])). 7.91/1.46 tff(f752,plain,( 7.91/1.46 ~$less(sK19(max_elt1(sK2)),0) | $less(max_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 7.91/1.46 inference(resolution,[],[f748,f331])). 7.91/1.46 tff(f748,plain,( 7.91/1.46 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK2)) | ~$less(sK19(X0),0) | $less(X0,0)) )), 7.91/1.46 inference(equality_resolution,[],[f454])). 7.91/1.46 tff(f454,plain,( 7.91/1.46 ( ! [X26:$int,X25:$int] : (sK19(X25) != X26 | ~mem(int,t2tb1(X25),t2tb(sK2)) | ~$less(X26,0) | $less(X25,0)) )), 7.91/1.46 inference(theory_flattening,[],[f279])). 7.91/1.46 tff(f279,plain,( 7.91/1.46 ( ! [X25:$int] : (~mem(int,t2tb1(X25),t2tb(sK2)) | ~$less(sK19(X25),0) | $less(X25,0)) )), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f778,plain,( 7.91/1.46 spl30_33 | spl30_36 | ~spl30_37), 7.91/1.46 inference(avatar_split_clause,[],[f750,f775,f771,f756])). 7.91/1.46 tff(f771,plain,( 7.91/1.46 spl30_36 <=> $less(min_elt1(sK1),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 7.91/1.46 tff(f775,plain,( 7.91/1.46 spl30_37 <=> $less(sK18(min_elt1(sK1)),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_37])])). 7.91/1.46 tff(f750,plain,( 7.91/1.46 ~$less(sK18(min_elt1(sK1)),0) | $less(min_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 7.91/1.46 inference(resolution,[],[f735,f332])). 7.91/1.46 tff(f735,plain,( 7.91/1.46 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | ~$less(sK18(X0),0) | $less(X0,0)) )), 7.91/1.46 inference(equality_resolution,[],[f449])). 7.91/1.46 tff(f449,plain,( 7.91/1.46 ( ! [X23:$int,X22:$int] : (sK18(X22) != X23 | ~mem(int,t2tb1(X22),t2tb(sK1)) | ~$less(X23,0) | $less(X22,0)) )), 7.91/1.46 inference(theory_flattening,[],[f285])). 7.91/1.46 tff(f285,plain,( 7.91/1.46 ( ! [X22:$int] : (~mem(int,t2tb1(X22),t2tb(sK1)) | ~$less(sK18(X22),0) | $less(X22,0)) )), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f767,plain,( 7.91/1.46 spl30_33 | spl30_34 | ~spl30_35), 7.91/1.46 inference(avatar_split_clause,[],[f749,f764,f760,f756])). 7.91/1.46 tff(f764,plain,( 7.91/1.46 spl30_35 <=> $less(sK18(max_elt1(sK1)),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_35])])). 7.91/1.46 tff(f749,plain,( 7.91/1.46 ~$less(sK18(max_elt1(sK1)),0) | $less(max_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 7.91/1.46 inference(resolution,[],[f735,f331])). 7.91/1.46 tff(f747,plain,( 7.91/1.46 ~spl30_32 | spl30_23), 7.91/1.46 inference(avatar_split_clause,[],[f737,f671,f744])). 7.91/1.46 tff(f744,plain,( 7.91/1.46 spl30_32 <=> $less(sK7,0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_32])])). 7.91/1.46 tff(f671,plain,( 7.91/1.46 spl30_23 <=> $less($sum(sK9,$uminus(sK3)),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 7.91/1.46 tff(f737,plain,( 7.91/1.46 ~$less(sK7,0) | spl30_23), 7.91/1.46 inference(backward_demodulation,[],[f673,f736])). 7.91/1.46 tff(f736,plain,( 7.91/1.46 sK7 = $sum(sK9,$uminus(sK3))), 7.91/1.46 inference(equality_resolution,[],[f734])). 7.91/1.46 tff(f734,plain,( 7.91/1.46 ( ! [X0:$int] : (sK3 != X0 | sK7 = $sum(sK9,$uminus(X0))) )), 7.91/1.46 inference(equality_resolution,[],[f733])). 7.91/1.46 tff(f733,plain,( 7.91/1.46 ( ! [X0:$int,X1:$int] : (sK7 != X0 | sK3 != X1 | $sum(sK9,$uminus(X1)) = X0) )), 7.91/1.46 inference(equality_resolution,[],[f446])). 7.91/1.46 tff(f446,plain,( 7.91/1.46 ( ! [X2:$int,X3:$int,X1:$int] : (sK9 != X2 | sK7 != X1 | sK3 != X3 | $sum(X2,$uminus(X3)) = X1) )), 7.91/1.46 inference(theory_flattening,[],[f289])). 7.91/1.46 tff(f289,plain,( 7.91/1.46 sK7 = $sum(sK9,$uminus(sK3))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f673,plain,( 7.91/1.46 ~$less($sum(sK9,$uminus(sK3)),0) | spl30_23), 7.91/1.46 inference(avatar_component_clause,[],[f671])). 7.91/1.46 tff(f742,plain,( 7.91/1.46 spl30_31), 7.91/1.46 inference(avatar_split_clause,[],[f736,f739])). 7.91/1.46 tff(f739,plain,( 7.91/1.46 spl30_31 <=> sK7 = $sum(sK9,$uminus(sK3))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 7.91/1.46 tff(f730,plain,( 7.91/1.46 spl30_30), 7.91/1.46 inference(avatar_split_clause,[],[f292,f727])). 7.91/1.46 tff(f292,plain,( 7.91/1.46 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f722,plain,( 7.91/1.46 spl30_29 | ~spl30_26), 7.91/1.46 inference(avatar_split_clause,[],[f716,f692,f719])). 7.91/1.46 tff(f692,plain,( 7.91/1.46 spl30_26 <=> sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 7.91/1.46 tff(f716,plain,( 7.91/1.46 t2tb2(sK13) = set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) | ~spl30_26), 7.91/1.46 inference(superposition,[],[f321,f694])). 7.91/1.46 tff(f694,plain,( 7.91/1.46 sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) | ~spl30_26), 7.91/1.46 inference(avatar_component_clause,[],[f692])). 7.91/1.46 tff(f715,plain,( 7.91/1.46 spl30_28), 7.91/1.46 inference(avatar_split_clause,[],[f705,f712])). 7.91/1.46 tff(f712,plain,( 7.91/1.46 spl30_28 <=> $less(tb2t1(sK21(int,t2tb(sK0))),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 7.91/1.46 tff(f705,plain,( 7.91/1.46 $less(tb2t1(sK21(int,t2tb(sK0))),n1)), 7.91/1.46 inference(global_subsumption,[],[f288,f699])). 7.91/1.46 tff(f699,plain,( 7.91/1.46 $less(tb2t1(sK21(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f677,f342])). 7.91/1.46 tff(f288,plain,( 7.91/1.46 ~is_empty(int,t2tb(sK0))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f710,plain,( 7.91/1.46 spl30_27), 7.91/1.46 inference(avatar_split_clause,[],[f702,f707])). 7.91/1.46 tff(f707,plain,( 7.91/1.46 spl30_27 <=> $less(tb2t1(choose(int,t2tb(sK0))),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_27])])). 7.91/1.46 tff(f702,plain,( 7.91/1.46 $less(tb2t1(choose(int,t2tb(sK0))),n1)), 7.91/1.46 inference(global_subsumption,[],[f288,f696])). 7.91/1.46 tff(f696,plain,( 7.91/1.46 $less(tb2t1(choose(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f677,f343])). 7.91/1.46 tff(f695,plain,( 7.91/1.46 spl30_26 | ~spl30_2), 7.91/1.46 inference(avatar_split_clause,[],[f680,f503,f692])). 7.91/1.46 tff(f680,plain,( 7.91/1.46 sK13 = tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) | ~spl30_2), 7.91/1.46 inference(forward_demodulation,[],[f305,f505])). 7.91/1.46 tff(f305,plain,( 7.91/1.46 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f690,plain,( 7.91/1.46 spl30_25), 7.91/1.46 inference(avatar_split_clause,[],[f679,f687])). 7.91/1.46 tff(f687,plain,( 7.91/1.46 spl30_25 <=> $less(min_elt1(sK0),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 7.91/1.46 tff(f679,plain,( 7.91/1.46 $less(min_elt1(sK0),n1)), 7.91/1.46 inference(global_subsumption,[],[f288,f676])). 7.91/1.46 tff(f676,plain,( 7.91/1.46 $less(min_elt1(sK0),n1) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f668,f332])). 7.91/1.46 tff(f685,plain,( 7.91/1.46 spl30_24), 7.91/1.46 inference(avatar_split_clause,[],[f678,f682])). 7.91/1.46 tff(f682,plain,( 7.91/1.46 spl30_24 <=> $less(max_elt1(sK0),n1)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_24])])). 7.91/1.46 tff(f678,plain,( 7.91/1.46 $less(max_elt1(sK0),n1)), 7.91/1.46 inference(global_subsumption,[],[f288,f675])). 7.91/1.46 tff(f675,plain,( 7.91/1.46 $less(max_elt1(sK0),n1) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f668,f331])). 7.91/1.46 tff(f674,plain,( 7.91/1.46 ~spl30_23), 7.91/1.46 inference(avatar_split_clause,[],[f669,f671])). 7.91/1.46 tff(f669,plain,( 7.91/1.46 ~$less($sum(sK9,$uminus(sK3)),0)), 7.91/1.46 inference(equality_resolution,[],[f667])). 7.91/1.46 tff(f667,plain,( 7.91/1.46 ( ! [X0:$int] : (sK3 != X0 | ~$less($sum(sK9,$uminus(X0)),0)) )), 7.91/1.46 inference(equality_resolution,[],[f445])). 7.91/1.46 tff(f445,plain,( 7.91/1.46 ( ! [X2:$int,X1:$int] : (sK9 != X1 | sK3 != X2 | ~$less($sum(X1,$uminus(X2)),0)) )), 7.91/1.46 inference(theory_flattening,[],[f290])). 7.91/1.46 tff(f290,plain,( 7.91/1.46 ~$less($sum(sK9,$uminus(sK3)),0)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f664,plain,( 7.91/1.46 spl30_22 | ~spl30_2), 7.91/1.46 inference(avatar_split_clause,[],[f659,f503,f661])). 7.91/1.46 tff(f659,plain,( 7.91/1.46 sK14 = $sum(sK5,1) | ~spl30_2), 7.91/1.46 inference(equality_resolution,[],[f658])). 7.91/1.46 tff(f658,plain,( 7.91/1.46 ( ! [X0:$int] : (sK5 != X0 | sK14 = $sum(X0,1)) ) | ~spl30_2), 7.91/1.46 inference(equality_resolution,[],[f650])). 7.91/1.46 tff(f650,plain,( 7.91/1.46 ( ! [X2:$int,X1:$int] : (sK14 != X2 | sK5 != X1 | $sum(X1,1) = X2) ) | ~spl30_2), 7.91/1.46 inference(forward_demodulation,[],[f439,f505])). 7.91/1.46 tff(f439,plain,( 7.91/1.46 ( ! [X2:$int,X1:$int] : (sK11 != X1 | sK14 != X2 | $sum(X1,1) = X2) )), 7.91/1.46 inference(theory_flattening,[],[f306])). 7.91/1.46 tff(f306,plain,( 7.91/1.46 $sum(sK11,1) = sK14), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f657,plain,( 7.91/1.46 ~spl30_21 | ~spl30_20), 7.91/1.46 inference(avatar_split_clause,[],[f652,f646,f654])). 7.91/1.46 tff(f654,plain,( 7.91/1.46 spl30_21 <=> is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_21])])). 7.91/1.46 tff(f652,plain,( 7.91/1.46 ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_20), 7.91/1.46 inference(resolution,[],[f648,f340])). 7.91/1.46 tff(f649,plain,( 7.91/1.46 spl30_20), 7.91/1.46 inference(avatar_split_clause,[],[f307,f646])). 7.91/1.46 tff(f307,plain,( 7.91/1.46 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f625,plain,( 7.91/1.46 spl30_19 | ~spl30_18), 7.91/1.46 inference(avatar_split_clause,[],[f619,f606,f622])). 7.91/1.46 tff(f619,plain,( 7.91/1.46 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_18), 7.91/1.46 inference(superposition,[],[f323,f608])). 7.91/1.46 tff(f609,plain,( 7.91/1.46 spl30_18), 7.91/1.46 inference(avatar_split_clause,[],[f310,f606])). 7.91/1.46 tff(f310,plain,( 7.91/1.46 sK15 = tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16)))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f604,plain,( 7.91/1.46 ~spl30_17), 7.91/1.46 inference(avatar_split_clause,[],[f594,f601])). 7.91/1.46 tff(f601,plain,( 7.91/1.46 spl30_17 <=> $less(tb2t1(sK21(int,t2tb(sK0))),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 7.91/1.46 tff(f594,plain,( 7.91/1.46 ~$less(tb2t1(sK21(int,t2tb(sK0))),0)), 7.91/1.46 inference(global_subsumption,[],[f288,f588])). 7.91/1.46 tff(f588,plain,( 7.91/1.46 ~$less(tb2t1(sK21(int,t2tb(sK0))),0) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f560,f342])). 7.91/1.46 tff(f599,plain,( 7.91/1.46 ~spl30_16), 7.91/1.46 inference(avatar_split_clause,[],[f591,f596])). 7.91/1.46 tff(f596,plain,( 7.91/1.46 spl30_16 <=> $less(tb2t1(choose(int,t2tb(sK0))),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 7.91/1.46 tff(f591,plain,( 7.91/1.46 ~$less(tb2t1(choose(int,t2tb(sK0))),0)), 7.91/1.46 inference(global_subsumption,[],[f288,f585])). 7.91/1.46 tff(f585,plain,( 7.91/1.46 ~$less(tb2t1(choose(int,t2tb(sK0))),0) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f560,f343])). 7.91/1.46 tff(f584,plain,( 7.91/1.46 spl30_15), 7.91/1.46 inference(avatar_split_clause,[],[f579,f581])). 7.91/1.46 tff(f579,plain,( 7.91/1.46 $less(sK16,sK14)), 7.91/1.46 inference(equality_resolution,[],[f578])). 7.91/1.46 tff(f578,plain,( 7.91/1.46 ( ! [X0:$int] : (sK14 != X0 | $less(sK16,X0)) )), 7.91/1.46 inference(equality_resolution,[],[f438])). 7.91/1.46 tff(f438,plain,( 7.91/1.46 ( ! [X2:$int,X1:$int] : (sK16 != X1 | sK14 != X2 | $less(X1,X2)) )), 7.91/1.46 inference(theory_flattening,[],[f308])). 7.91/1.46 tff(f308,plain,( 7.91/1.46 $less(sK16,sK14)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f577,plain,( 7.91/1.46 spl30_14), 7.91/1.46 inference(avatar_split_clause,[],[f295,f574])). 7.91/1.46 tff(f574,plain,( 7.91/1.46 spl30_14 <=> eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 7.91/1.46 tff(f295,plain,( 7.91/1.46 eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f572,plain,( 7.91/1.46 ~spl30_13), 7.91/1.46 inference(avatar_split_clause,[],[f562,f569])). 7.91/1.46 tff(f569,plain,( 7.91/1.46 spl30_13 <=> $less(min_elt1(sK0),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 7.91/1.46 tff(f562,plain,( 7.91/1.46 ~$less(min_elt1(sK0),0)), 7.91/1.46 inference(global_subsumption,[],[f288,f559])). 7.91/1.46 tff(f559,plain,( 7.91/1.46 ~$less(min_elt1(sK0),0) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f272,f332])). 7.91/1.46 tff(f567,plain,( 7.91/1.46 ~spl30_12), 7.91/1.46 inference(avatar_split_clause,[],[f561,f564])). 7.91/1.46 tff(f564,plain,( 7.91/1.46 spl30_12 <=> $less(max_elt1(sK0),0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 7.91/1.46 tff(f561,plain,( 7.91/1.46 ~$less(max_elt1(sK0),0)), 7.91/1.46 inference(global_subsumption,[],[f288,f558])). 7.91/1.46 tff(f558,plain,( 7.91/1.46 ~$less(max_elt1(sK0),0) | is_empty(int,t2tb(sK0))), 7.91/1.46 inference(resolution,[],[f272,f331])). 7.91/1.46 tff(f556,plain,( 7.91/1.46 spl30_11 | ~spl30_2), 7.91/1.46 inference(avatar_split_clause,[],[f546,f503,f553])). 7.91/1.46 tff(f546,plain,( 7.91/1.46 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | ~spl30_2), 7.91/1.46 inference(forward_demodulation,[],[f296,f505])). 7.91/1.46 tff(f296,plain,( 7.91/1.46 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f551,plain,( 7.91/1.46 ~spl30_10), 7.91/1.46 inference(avatar_split_clause,[],[f545,f548])). 7.91/1.46 tff(f548,plain,( 7.91/1.46 spl30_10 <=> $less(sK3,0)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 7.91/1.46 tff(f545,plain,( 7.91/1.46 ~$less(sK3,0)), 7.91/1.46 inference(equality_resolution,[],[f461])). 7.91/1.46 tff(f461,plain,( 7.91/1.46 ( ! [X1:$int] : (sK3 != X1 | ~$less(X1,0)) )), 7.91/1.46 inference(theory_flattening,[],[f271])). 7.91/1.46 tff(f271,plain,( 7.91/1.46 ~$less(sK3,0)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f544,plain,( 7.91/1.46 ~spl30_9), 7.91/1.46 inference(avatar_split_clause,[],[f539,f541])). 7.91/1.46 tff(f539,plain,( 7.91/1.46 ~$less(sK5,0)), 7.91/1.46 inference(equality_resolution,[],[f447])). 7.91/1.46 tff(f447,plain,( 7.91/1.46 ( ! [X1:$int] : (sK5 != X1 | ~$less(X1,0)) )), 7.91/1.46 inference(theory_flattening,[],[f287])). 7.91/1.46 tff(f287,plain,( 7.91/1.46 ~$less(sK5,0)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f538,plain,( 7.91/1.46 ~spl30_8), 7.91/1.46 inference(avatar_split_clause,[],[f533,f535])). 7.91/1.46 tff(f533,plain,( 7.91/1.46 ~$less(sK16,0)), 7.91/1.46 inference(equality_resolution,[],[f437])). 7.91/1.46 tff(f437,plain,( 7.91/1.46 ( ! [X1:$int] : (sK16 != X1 | ~$less(X1,0)) )), 7.91/1.46 inference(theory_flattening,[],[f309])). 7.91/1.46 tff(f309,plain,( 7.91/1.46 ~$less(sK16,0)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f532,plain,( 7.91/1.46 ~spl30_7), 7.91/1.46 inference(avatar_split_clause,[],[f304,f529])). 7.91/1.46 tff(f304,plain,( 7.91/1.46 ~is_empty(int,t2tb(sK8))), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f527,plain,( 7.91/1.46 spl30_6), 7.91/1.46 inference(avatar_split_clause,[],[f293,f524])). 7.91/1.46 tff(f524,plain,( 7.91/1.46 spl30_6 <=> sorted1(sK10,sK3,sK9)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 7.91/1.46 tff(f293,plain,( 7.91/1.46 sorted1(sK10,sK3,sK9)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f522,plain,( 7.91/1.46 ~spl30_5), 7.91/1.46 inference(avatar_split_clause,[],[f288,f519])). 7.91/1.46 tff(f519,plain,( 7.91/1.46 spl30_5 <=> is_empty(int,t2tb(sK0))), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_5])])). 7.91/1.46 tff(f517,plain,( 7.91/1.46 spl30_4 | ~spl30_2 | ~spl30_3), 7.91/1.46 inference(avatar_split_clause,[],[f512,f508,f503,f514])). 7.91/1.46 tff(f514,plain,( 7.91/1.46 spl30_4 <=> partial_solution1(sK5,sK12)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 7.91/1.46 tff(f508,plain,( 7.91/1.46 spl30_3 <=> partial_solution1(sK11,sK12)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_3])])). 7.91/1.46 tff(f512,plain,( 7.91/1.46 partial_solution1(sK5,sK12) | (~spl30_2 | ~spl30_3)), 7.91/1.46 inference(forward_demodulation,[],[f510,f505])). 7.91/1.46 tff(f510,plain,( 7.91/1.46 partial_solution1(sK11,sK12) | ~spl30_3), 7.91/1.46 inference(avatar_component_clause,[],[f508])). 7.91/1.46 tff(f511,plain,( 7.91/1.46 spl30_3), 7.91/1.46 inference(avatar_split_clause,[],[f303,f508])). 7.91/1.46 tff(f303,plain,( 7.91/1.46 partial_solution1(sK11,sK12)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f506,plain,( 7.91/1.46 spl30_2), 7.91/1.46 inference(avatar_split_clause,[],[f291,f503])). 7.91/1.46 tff(f291,plain,( 7.91/1.46 sK5 = sK11), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 tff(f501,plain,( 7.91/1.46 spl30_1), 7.91/1.46 inference(avatar_split_clause,[],[f282,f498])). 7.91/1.46 tff(f498,plain,( 7.91/1.46 spl30_1 <=> partial_solution1(sK5,sK6)), 7.91/1.46 introduced(avatar_definition,[new_symbols(naming,[spl30_1])])). 7.91/1.46 tff(f282,plain,( 7.91/1.46 partial_solution1(sK5,sK6)), 7.91/1.46 inference(cnf_transformation,[],[f227])). 7.91/1.46 % SZS output end Proof for theBenchmark 7.91/1.46 % (11282)------------------------------ 7.91/1.46 % (11282)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 7.91/1.46 % (11282)Termination reason: Refutation 7.91/1.46 7.91/1.46 % (11282)Memory used [KB]: 8827 7.91/1.46 % (11282)Time elapsed: 1.006 s 7.91/1.46 % (11282)------------------------------ 7.91/1.46 % (11282)------------------------------ 7.91/1.47 % (11264)Success in time 1.091 s 7.91/1.47 EOF