0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.35 % Computer : n004.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 04:57:05 EDT 2022 0.14/0.36 % CPUTime : 0.14/0.36 This is a TFF_ problem 0.14/0.36 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.14/0.37 % (29178)Running in auto input_syntax mode. Trying TPTP 0.22/0.43 % (29184)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 0.22/0.43 % (29180)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 0.22/0.43 % (29186)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 0.22/0.44 % (29182)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 0.22/0.44 % (29185)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.22/0.44 % (29179)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 0.22/0.44 % (29183)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 0.22/0.44 % (29181)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 4.98/1.03 % (29185)Time limit reached! 4.98/1.03 % (29185)------------------------------ 4.98/1.03 % (29185)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 4.98/1.03 % (29185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.98/1.03 % (29185)Termination reason: Time limit 4.98/1.03 % (29185)Termination phase: Saturation 4.98/1.03 4.98/1.03 % (29185)Memory used [KB]: 20724 4.98/1.03 % (29185)Time elapsed: 0.600 s 4.98/1.03 % (29185)------------------------------ 4.98/1.03 % (29185)------------------------------ 5.51/1.07 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 5.51/1.07 % (29271)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 8.46/1.43 % (29186)Time limit reached! 8.46/1.43 % (29186)------------------------------ 8.46/1.43 % (29186)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 8.46/1.43 % (29186)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.46/1.43 % (29186)Termination reason: Time limit 8.46/1.43 % (29186)Termination phase: Saturation 8.46/1.43 8.46/1.43 % (29186)Memory used [KB]: 13688 8.46/1.43 % (29186)Time elapsed: 1.0000 s 8.46/1.43 % (29186)------------------------------ 8.46/1.43 % (29186)------------------------------ 8.71/1.47 % (29272)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=on:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 11.90/1.93 % (29184)Time limit reached! 11.90/1.93 % (29184)------------------------------ 11.90/1.93 % (29184)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 11.90/1.93 % (29184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 11.90/1.93 % (29184)Termination reason: Time limit 11.90/1.93 % (29184)Termination phase: Saturation 11.90/1.93 11.90/1.93 % (29184)Memory used [KB]: 15607 11.90/1.93 % (29184)Time elapsed: 1.500 s 11.90/1.93 % (29184)------------------------------ 11.90/1.93 % (29184)------------------------------ 12.59/1.97 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 12.59/1.97 % (29273)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 16.48/2.47 % (29273)Time limit reached! 16.48/2.47 % (29273)------------------------------ 16.48/2.47 % (29273)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 16.48/2.47 % (29273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 16.48/2.47 % (29273)Termination reason: Time limit 16.48/2.47 % (29273)Termination phase: Saturation 16.48/2.47 16.48/2.47 % (29273)Memory used [KB]: 15095 16.48/2.47 % (29273)Time elapsed: 0.500 s 16.48/2.47 % (29273)------------------------------ 16.48/2.47 % (29273)------------------------------ 16.48/2.47 % (29271)Time limit reached! 16.48/2.47 % (29271)------------------------------ 16.48/2.47 % (29271)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 16.48/2.47 % (29271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 16.48/2.47 % (29271)Termination reason: Time limit 16.48/2.47 % (29271)Termination phase: Saturation 16.48/2.47 16.48/2.47 % (29271)Memory used [KB]: 20852 16.48/2.47 % (29271)Time elapsed: 1.400 s 16.48/2.47 % (29271)------------------------------ 16.48/2.47 % (29271)------------------------------ 16.91/2.50 WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs 16.91/2.50 % (29275)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 16.91/2.50 % (29274)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 19.46/2.83 % (29180)Time limit reached! 19.46/2.83 % (29180)------------------------------ 19.46/2.83 % (29180)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 19.46/2.83 % (29180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 19.46/2.83 % (29180)Termination reason: Time limit 19.46/2.83 % (29180)Termination phase: Saturation 19.46/2.83 19.46/2.83 % (29180)Memory used [KB]: 84305 19.46/2.83 % (29180)Time elapsed: 2.400 s 19.46/2.83 % (29180)------------------------------ 19.46/2.83 % (29180)------------------------------ 19.46/2.86 % (29179)Time limit reached! 19.46/2.86 % (29179)------------------------------ 19.46/2.86 % (29179)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 19.46/2.86 % (29179)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 19.46/2.86 % (29179)Termination reason: Time limit 19.46/2.86 % (29179)Termination phase: Saturation 19.46/2.86 19.46/2.86 % (29179)Memory used [KB]: 36459 19.46/2.86 % (29179)Time elapsed: 2.400 s 19.46/2.86 % (29179)------------------------------ 19.46/2.86 % (29179)------------------------------ 19.46/2.87 % (29276)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 20.27/2.93 % (29277)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 22.10/3.25 % (29181)Time limit reached! 22.10/3.25 % (29181)------------------------------ 22.10/3.25 % (29181)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 22.10/3.25 % (29181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 22.10/3.25 % (29181)Termination reason: Time limit 22.10/3.25 % (29181)Termination phase: Saturation 22.10/3.25 22.10/3.25 % (29181)Memory used [KB]: 18549 22.10/3.25 % (29181)Time elapsed: 2.800 s 22.10/3.25 % (29181)------------------------------ 22.10/3.25 % (29181)------------------------------ 22.10/3.29 % (29278)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 22.10/3.30 % (29275)Time limit reached! 22.10/3.30 % (29275)------------------------------ 22.10/3.30 % (29275)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 22.10/3.30 % (29275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 22.10/3.30 % (29275)Termination reason: Time limit 22.10/3.30 % (29275)Termination phase: Saturation 22.10/3.30 22.10/3.30 % (29275)Memory used [KB]: 30703 22.10/3.30 % (29275)Time elapsed: 0.800 s 22.10/3.30 % (29275)------------------------------ 22.10/3.30 % (29275)------------------------------ 23.61/3.34 % (29279)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 24.92/3.53 % (29182)Time limit reached! 24.92/3.53 % (29182)------------------------------ 24.92/3.53 % (29182)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 24.92/3.53 % (29182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 24.92/3.53 % (29182)Termination reason: Time limit 24.92/3.53 % (29182)Termination phase: Saturation 24.92/3.53 24.92/3.53 % (29182)Memory used [KB]: 39402 24.92/3.53 % (29182)Time elapsed: 3.100 s 24.92/3.53 % (29182)------------------------------ 24.92/3.53 % (29182)------------------------------ 24.92/3.57 % (29280)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 25.81/3.68 % (29280)First to succeed. 25.81/3.69 % (29280)Refutation found. Thanks to Tanya! 25.81/3.69 % SZS status Theorem for theBenchmark 25.81/3.69 % SZS output start Proof for theBenchmark 25.81/3.69 tff(type_def_5, type, uni: $tType). 25.81/3.69 tff(type_def_6, type, ty: $tType). 25.81/3.69 tff(type_def_7, type, bool: $tType). 25.81/3.69 tff(type_def_8, type, tuple0: $tType). 25.81/3.69 tff(type_def_9, type, map_int_int: $tType). 25.81/3.69 tff(type_def_10, type, array_int: $tType). 25.81/3.69 tff(type_def_11, type, lparray_intcm_intrp: $tType). 25.81/3.69 tff(func_def_0, type, witness: (ty) > uni). 25.81/3.69 tff(func_def_1, type, int: ty). 25.81/3.69 tff(func_def_2, type, real: ty). 25.81/3.69 tff(func_def_3, type, bool1: ty). 25.81/3.69 tff(func_def_4, type, true: bool). 25.81/3.69 tff(func_def_5, type, false: bool). 25.81/3.69 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 25.81/3.69 tff(func_def_7, type, tuple01: ty). 25.81/3.69 tff(func_def_8, type, tuple02: tuple0). 25.81/3.69 tff(func_def_9, type, qtmark: ty). 25.81/3.69 tff(func_def_10, type, map: (ty * ty) > ty). 25.81/3.69 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 25.81/3.69 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 25.81/3.69 tff(func_def_13, type, const: (ty * ty * uni) > uni). 25.81/3.69 tff(func_def_14, type, array: (ty) > ty). 25.81/3.69 tff(func_def_15, type, mk_array: (ty * $int * uni) > uni). 25.81/3.69 tff(func_def_16, type, length: (ty * uni) > $int). 25.81/3.69 tff(func_def_17, type, elts: (ty * uni) > uni). 25.81/3.69 tff(func_def_18, type, get1: (ty * uni * $int) > uni). 25.81/3.69 tff(func_def_19, type, t2tb: ($int) > uni). 25.81/3.69 tff(func_def_20, type, tb2t: (uni) > $int). 25.81/3.69 tff(func_def_21, type, set1: (ty * uni * $int * uni) > uni). 25.81/3.69 tff(func_def_22, type, make: (ty * $int * uni) > uni). 25.81/3.69 tff(func_def_23, type, t2tb1: (map_int_int) > uni). 25.81/3.69 tff(func_def_24, type, tb2t1: (uni) > map_int_int). 25.81/3.69 tff(func_def_25, type, t2tb2: (array_int) > uni). 25.81/3.69 tff(func_def_26, type, tb2t2: (uni) > array_int). 25.81/3.69 tff(func_def_27, type, k: $int). 25.81/3.69 tff(func_def_28, type, tuple2: (ty * ty) > ty). 25.81/3.69 tff(func_def_29, type, tuple21: (ty * ty * uni * uni) > uni). 25.81/3.69 tff(func_def_30, type, tuple2_proj_1: (ty * ty * uni) > uni). 25.81/3.69 tff(func_def_31, type, tuple2_proj_2: (ty * ty * uni) > uni). 25.81/3.69 tff(func_def_32, type, t2tb3: (lparray_intcm_intrp) > uni). 25.81/3.69 tff(func_def_33, type, tb2t3: (uni) > lparray_intcm_intrp). 25.81/3.69 tff(func_def_34, type, num_of: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_35, type, numeq: (array_int * $int * $int * $int) > $int). 25.81/3.69 tff(func_def_36, type, num_of1: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_37, type, numlt: (array_int * $int * $int * $int) > $int). 25.81/3.69 tff(func_def_38, type, ref: (ty) > ty). 25.81/3.69 tff(func_def_39, type, mk_ref: (ty * uni) > uni). 25.81/3.69 tff(func_def_40, type, contents: (ty * uni) > uni). 25.81/3.69 tff(func_def_47, type, sK0: $int). 25.81/3.69 tff(func_def_48, type, sK1: map_int_int). 25.81/3.69 tff(func_def_49, type, sK2: $int). 25.81/3.69 tff(func_def_50, type, sK3: map_int_int). 25.81/3.69 tff(func_def_51, type, sK4: $int). 25.81/3.69 tff(func_def_52, type, sK5: map_int_int). 25.81/3.69 tff(func_def_53, type, sK6: $int). 25.81/3.69 tff(func_def_54, type, sK7: $int). 25.81/3.69 tff(func_def_55, type, sK8: map_int_int). 25.81/3.69 tff(func_def_56, type, sK9: $int). 25.81/3.69 tff(func_def_57, type, sK10: map_int_int). 25.81/3.69 tff(func_def_58, type, sK11: $int). 25.81/3.69 tff(func_def_59, type, sK12: $int). 25.81/3.69 tff(func_def_60, type, sK13: (array_int) > $int). 25.81/3.69 tff(func_def_61, type, sK14: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_62, type, sK15: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_63, type, sK16: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_64, type, sK17: (lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_65, type, sK18: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_66, type, sK19: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_67, type, sK20: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(func_def_68, type, sK21: (lparray_intcm_intrp * lparray_intcm_intrp * $int * $int) > $int). 25.81/3.69 tff(pred_def_1, type, sort: (ty * uni) > $o). 25.81/3.69 tff(pred_def_2, type, sorted_sub: (map_int_int * $int * $int) > $o). 25.81/3.69 tff(pred_def_3, type, sorted_sub1: (array_int * $int * $int) > $o). 25.81/3.69 tff(pred_def_4, type, sorted: (array_int) > $o). 25.81/3.69 tff(pred_def_5, type, k_values: (array_int) > $o). 25.81/3.69 tff(pred_def_6, type, eq: (lparray_intcm_intrp * $int) > $o). 25.81/3.69 tff(pred_def_7, type, lt: (lparray_intcm_intrp * $int) > $o). 25.81/3.69 tff(pred_def_8, type, permut: (array_int * array_int) > $o). 25.81/3.69 tff(f1455,plain,( 25.81/3.69 $false), 25.81/3.69 inference(avatar_smt_refutation,[],[f561,f566,f572,f578,f584,f590,f596,f602,f607,f614,f619,f626,f634,f641,f647,f656,f661,f668,f678,f684,f689,f698,f700,f729,f733,f741,f745,f753,f797,f838,f842,f849,f855,f865,f873,f903,f925,f932,f939,f944,f960,f1029,f1039,f1046,f1055,f1059,f1089,f1090,f1124,f1128,f1168,f1185,f1220,f1224,f1252,f1258,f1277,f1285,f1287,f1306,f1317,f1322,f1327,f1359,f1377,f1382,f1387,f1390,f1393,f1405,f1411,f1418,f1447,f1452,f1454])). 25.81/3.69 tff(f1454,plain,( 25.81/3.69 spl22_71), 25.81/3.69 inference(avatar_contradiction_clause,[],[f1453])). 25.81/3.69 tff(f1453,plain,( 25.81/3.69 $false | spl22_71), 25.81/3.69 inference(resolution,[],[f1301,f337])). 25.81/3.69 tff(f337,plain,( 25.81/3.69 ( ! [X0 : $int] : (sort(int,t2tb(X0))) )), 25.81/3.69 inference(cnf_transformation,[],[f117])). 25.81/3.69 tff(f117,plain,( 25.81/3.69 ! [X0 : $int] : sort(int,t2tb(X0))), 25.81/3.69 inference(rectify,[],[f14])). 25.81/3.69 tff(f14,axiom,( 25.81/3.69 ! [X12 : $int] : sort(int,t2tb(X12))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort)). 25.81/3.69 tff(f1301,plain,( 25.81/3.69 ~sort(int,t2tb(sK12)) | spl22_71), 25.81/3.69 inference(avatar_component_clause,[],[f1299])). 25.81/3.69 tff(f1299,plain,( 25.81/3.69 spl22_71 <=> sort(int,t2tb(sK12))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_71])])). 25.81/3.69 tff(f1452,plain,( 25.81/3.69 spl22_3 | ~spl22_73 | ~spl22_82), 25.81/3.69 inference(avatar_split_clause,[],[f1448,f1444,f1314,f569])). 25.81/3.69 tff(f569,plain,( 25.81/3.69 spl22_3 <=> $less(sK12,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_3])])). 25.81/3.69 tff(f1314,plain,( 25.81/3.69 spl22_73 <=> $less(sK12,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_73])])). 25.81/3.69 tff(f1444,plain,( 25.81/3.69 spl22_82 <=> $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_82])])). 25.81/3.69 tff(f1448,plain,( 25.81/3.69 ~$less(sK12,sK7) | $less(sK12,0) | ~spl22_82), 25.81/3.69 inference(resolution,[],[f1446,f886])). 25.81/3.69 tff(f886,plain,( 25.81/3.69 ( ! [X0 : $int] : (~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X0)))) | ~$less(X0,sK7) | $less(X0,0)) )), 25.81/3.69 inference(equality_resolution,[],[f885])). 25.81/3.69 tff(f885,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK6 != X0 | ~$less(X0,tb2t(get(int,int,t2tb1(sK8),t2tb(X1)))) | ~$less(X1,sK7) | $less(X1,0)) )), 25.81/3.69 inference(equality_resolution,[],[f756])). 25.81/3.69 tff(f756,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : $int,X1 : $int] : (sK7 != X2 | ~$less(X0,tb2t(get(int,int,t2tb1(sK8),t2tb(X1)))) | sK6 != X0 | ~$less(X1,X2) | $less(X1,0)) )), 25.81/3.69 inference(equality_resolution,[],[f472])). 25.81/3.69 tff(f472,plain,( 25.81/3.69 ( ! [X16 : $int,X14 : $int,X15 : $int,X13 : $int] : (tb2t(get(int,int,t2tb1(sK8),t2tb(X13))) != X15 | sK6 != X14 | ~$less(X14,X15) | sK7 != X16 | ~$less(X13,X16) | $less(X13,0)) )), 25.81/3.69 inference(theory_flattening,[],[f321])). 25.81/3.69 tff(f321,plain,( 25.81/3.69 ( ! [X13 : $int] : (~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X13)))) | ~$less(X13,sK7) | $less(X13,0)) )), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f273,plain,( 25.81/3.69 ((((((($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)) & ~$less(sK12,0) & $less(sK12,sK11)) & $sum(sK7,1) = sK11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10 & ~$less(sK2,0)) & ~$less(sK7,0) & $less(sK7,sK2) & ~$less(sK2,0) & sorted_sub(sK8,0,sK7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X13))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X13))))) | ~$less(X13,sK7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X14))),0,sK7) | ~$less(X14,sK6) | $less(X14,0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = $sum($sum(sK7,$uminus(sK9)),1) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9) & ~$less(sK9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1) & ~$less(k,0) & $less(sK6,k) & ~$less(sK6,0) & sorted_sub(sK5,0,sK4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X15))),0,sK4) | $less(X15,0) | ~$less(X15,sK6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X16))),sK6)) | ~$less(X16,sK4) | $less(X16,0)) & sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) & ~$less($sum(k,$uminus(1)),sK6) & ~$less(sK6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) = tb2t(get(int,int,t2tb1(sK3),t2tb(X17))) | ~$less(X17,k) | $less(X17,0))) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(sK0,0) & k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1)))) & sK0 = sK2 & ~$less(sK2,0)), 25.81/3.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f265,f272,f271,f270,f269,f268,f267,f266])). 25.81/3.69 tff(f266,plain,( 25.81/3.69 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & ~$less(X7,0) & $less(X7,X2) & ~$less(X2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X14))),0,X0) | ~$less(X14,X6) | $less(X14,0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X15))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | ~$less(X17,k) | $less(X17,0))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)) => (? [X3 : map_int_int] : (? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,X6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) | ~$less(X17,k) | $less(X17,0))) & ~$less($sum(sK0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(sK0,0) & k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1)))) & sK0 = sK2 & ~$less(sK2,0))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f267,plain,( 25.81/3.69 ? [X3 : map_int_int] : (? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,X6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) | ~$less(X17,k) | $less(X17,0))) => (? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,X6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X17))),0,$sum($sum(sK0,$uminus(1)),1)) = tb2t(get(int,int,t2tb1(sK3),t2tb(X17))) | ~$less(X17,k) | $less(X17,0)))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f268,plain,( 25.81/3.69 ? [X6 : $int,X5 : map_int_int,X4 : $int] : (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,X6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X6))),0,sK0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) => (? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(sK6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,sK6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(sK6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1) & ~$less(k,0) & $less(sK6,k) & ~$less(sK6,0) & sorted_sub(sK5,0,sK4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X15))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK5)),t2tb(X15))),0,sK4) | $less(X15,0) | ~$less(X15,sK6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(sK5),t2tb(X16))),sK6)) | ~$less(X16,sK4) | $less(X16,0)) & sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) & ~$less($sum(k,$uminus(1)),sK6) & ~$less(sK6,0))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f269,plain,( 25.81/3.69 ? [X9 : $int,X8 : map_int_int,X7 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(sK6))) = X10 & ~$less(sK2,0)) & ~$less(X7,0) & $less(X7,sK2) & ~$less(sK2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) | ~$less(X14,sK6) | $less(X14,0)) & $sum(X9,$uminus(1)) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(X8)),t2tb(sK6))),0,X7) & $sum($sum(X7,$uminus(X9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),X9) & ~$less(X9,1)) => (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(sK7,1) = X11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = X10 & ~$less(sK2,0)) & ~$less(sK7,0) & $less(sK7,sK2) & ~$less(sK2,0) & sorted_sub(sK8,0,sK7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X13))),0) & ~$less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(X13))))) | ~$less(X13,sK7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X14))),0,sK7) | ~$less(X14,sK6) | $less(X14,0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = $sum($sum(sK7,$uminus(sK9)),1) & ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9) & ~$less(sK9,1))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f270,plain,( 25.81/3.69 ? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(sK7,1) = X11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = X10 & ~$less(sK2,0)) => (? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(sK7,1) = X11) & tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10 & ~$less(sK2,0))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f271,plain,( 25.81/3.69 ? [X11 : $int] : (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(sK7,1) = X11) => (? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,sK11)) & $sum(sK7,1) = sK11)), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f272,plain,( 25.81/3.69 ? [X12 : $int] : (($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,sK11)) => (($less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)) & ~$less(sK12,0) & $less(sK12,sK11))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f265,plain,( 25.81/3.69 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X3 : map_int_int] : (? [X4 : $int,X5 : map_int_int,X6 : $int] : (? [X7 : $int,X8 : map_int_int,X9 : $int] : (? [X10 : map_int_int] : (? [X11 : $int] : (? [X12 : $int] : (($less(X6,tb2t(get(int,int,t2tb1(X10),t2tb(X12)))) | $less(tb2t(get(int,int,t2tb1(X10),t2tb(X12))),0)) & ~$less(X12,0) & $less(X12,X11)) & $sum(X7,1) = X11) & tb2t1(set(int,int,t2tb1(X8),t2tb(X7),t2tb(X6))) = X10 & ~$less(X2,0)) & ~$less(X7,0) & $less(X7,X2) & ~$less(X2,0) & sorted_sub(X8,0,X7) & ! [X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X8),t2tb(X13))),0) & ~$less(X6,tb2t(get(int,int,t2tb1(X8),t2tb(X13))))) | ~$less(X13,X7) | $less(X13,0)) & ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X14))),0,X7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X14))),0,X0) | ~$less(X14,X6) | $less(X14,0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X8)),t2tb(X6))),0,X7) = $sum(X9,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = $sum($sum(X7,$uminus(X9)),1) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),X9) & ~$less(X9,1)) & ~$less(tb2t(get(int,int,t2tb1(X3),t2tb(X6))),1) & ~$less(k,0) & $less(X6,k) & ~$less(X6,0) & sorted_sub(X5,0,X4) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X15))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X5)),t2tb(X15))),0,X4) | $less(X15,0) | ~$less(X15,X6)) & ! [X16 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),0) & $less(tb2t(get(int,int,t2tb1(X5),t2tb(X16))),X6)) | ~$less(X16,X4) | $less(X16,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X6))),0,X0) = X4 & ~$less($sum(k,$uminus(1)),X6) & ~$less(X6,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X17 : $int] : (tb2t(get(int,int,t2tb1(X3),t2tb(X17))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X17))),0,$sum($sum(X0,$uminus(1)),1)) | ~$less(X17,k) | $less(X17,0))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0))), 25.81/3.69 inference(rectify,[],[f195])). 25.81/3.69 tff(f195,plain,( 25.81/3.69 ? [X0 : $int,X1 : map_int_int,X2 : $int] : (? [X4 : map_int_int] : (? [X6 : $int,X7 : map_int_int,X8 : $int] : (? [X11 : $int,X12 : map_int_int,X13 : $int] : (? [X16 : map_int_int] : (? [X17 : $int] : (? [X18 : $int] : (($less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) | $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)) & ~$less(X18,0) & $less(X18,X17)) & $sum(X11,1) = X17) & tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0)) & ~$less(X11,0) & $less(X11,X2) & ~$less(X2,0) & sorted_sub(X12,0,X11) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X14))))) | ~$less(X14,X11) | $less(X14,0)) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X15))),0,X11) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X15))),0,X0) | ~$less(X15,X8) | $less(X15,0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1)) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1) & ~$less(k,0) & $less(X8,k) & ~$less(X8,0) & sorted_sub(X7,0,X6) & ! [X9 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X9))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X9))),0,X6) | $less(X9,0) | ~$less(X9,X8)) & ! [X10 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) & $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8)) | ~$less(X10,X6) | $less(X10,0)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6 & ~$less($sum(k,$uminus(1)),X8) & ~$less(X8,0)) & ~$less($sum(k,$uminus(1)),0) & ! [X5 : $int] : (tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1)) | ~$less(X5,k) | $less(X5,0))) & ~$less($sum(X0,$uminus(1)),0) & ~$less(k,0) & ~$less(k,0) & ~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0))), 25.81/3.69 inference(flattening,[],[f194])). 25.81/3.69 tff(f194,plain,( 25.81/3.69 ? [X0 : $int,X1 : map_int_int,X2 : $int] : ((((? [X4 : map_int_int] : ((? [X6 : $int,X7 : map_int_int,X8 : $int] : ((((? [X11 : $int,X12 : map_int_int,X13 : $int] : (((? [X16 : map_int_int] : (? [X17 : $int] : (? [X18 : $int] : (($less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) | $less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0)) & (~$less(X18,0) & $less(X18,X17))) & $sum(X11,1) = X17) & (tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0))) & (~$less(X11,0) & $less(X11,X2) & ~$less(X2,0))) & (sorted_sub(X12,0,X11) & ! [X14 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X14))))) | (~$less(X14,X11) | $less(X14,0))) & ! [X15 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X15))),0,X11) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X15))),0,X0) | (~$less(X15,X8) | $less(X15,0))) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1))) & (~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1))) & ~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1)) & (~$less(k,0) & $less(X8,k) & ~$less(X8,0))) & (sorted_sub(X7,0,X6) & ! [X9 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X9))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X9))),0,X6) | ($less(X9,0) | ~$less(X9,X8))) & ! [X10 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) & $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8)) | (~$less(X10,X6) | $less(X10,0))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6)) & (~$less($sum(k,$uminus(1)),X8) & ~$less(X8,0))) & ~$less($sum(k,$uminus(1)),0)) & ! [X5 : $int] : (tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1)) | (~$less(X5,k) | $less(X5,0)))) & ~$less($sum(X0,$uminus(1)),0)) & ~$less(k,0)) & ~$less(k,0)) & (~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)))), 25.81/3.69 inference(ennf_transformation,[],[f115])). 25.81/3.69 tff(f115,plain,( 25.81/3.69 ~! [X0 : $int,X1 : map_int_int,X2 : $int] : ((~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X1)))) & X0 = X2 & ~$less(X2,0)) => (~$less(k,0) => (~$less(k,0) => (~$less($sum(X0,$uminus(1)),0) => ! [X4 : map_int_int] : (! [X5 : $int] : (($less(X5,k) & ~$less(X5,0)) => tb2t(get(int,int,t2tb1(X4),t2tb(X5))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X5))),0,$sum($sum(X0,$uminus(1)),1))) => (~$less($sum(k,$uminus(1)),0) => ! [X6 : $int,X7 : map_int_int,X8 : $int] : ((~$less($sum(k,$uminus(1)),X8) & ~$less(X8,0)) => ((sorted_sub(X7,0,X6) & ! [X9 : $int] : ((~$less(X9,0) & $less(X9,X8)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X9))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X7)),t2tb(X9))),0,X6)) & ! [X10 : $int] : (($less(X10,X6) & ~$less(X10,0)) => (~$less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),0) & $less(tb2t(get(int,int,t2tb1(X7),t2tb(X10))),X8))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = X6) => ((~$less(k,0) & $less(X8,k) & ~$less(X8,0)) => (~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),1) => ! [X11 : $int,X12 : map_int_int,X13 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X4),t2tb(X8))),X13) & ~$less(X13,1)) => ((sorted_sub(X12,0,X11) & ! [X14 : $int] : (($less(X14,X11) & ~$less(X14,0)) => (~$less(tb2t(get(int,int,t2tb1(X12),t2tb(X14))),0) & ~$less(X8,tb2t(get(int,int,t2tb1(X12),t2tb(X14)))))) & ! [X15 : $int] : (($less(X15,X8) & ~$less(X15,0)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X15))),0,X11) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X15))),0,X0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X2,t2tb1(X12)),t2tb(X8))),0,X11) = $sum(X13,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X1)),t2tb(X8))),0,X0) = $sum($sum(X11,$uminus(X13)),1)) => ((~$less(X11,0) & $less(X11,X2) & ~$less(X2,0)) => ! [X16 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X12),t2tb(X11),t2tb(X8))) = X16 & ~$less(X2,0)) => ! [X17 : $int] : ($sum(X11,1) = X17 => ! [X18 : $int] : ((~$less(X18,0) & $less(X18,X17)) => (~$less(X8,tb2t(get(int,int,t2tb1(X16),t2tb(X18)))) & ~$less(tb2t(get(int,int,t2tb1(X16),t2tb(X18))),0))))))))))))))))))), 25.81/3.69 inference(rectify,[],[f87])). 25.81/3.69 tff(f87,plain,( 25.81/3.69 ~! [X0 : $int,X14 : map_int_int,X3 : $int,X18] : ((~$less(X0,0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X14)))) & X0 = X3 & ~$less(X3,0)) => (~$less(k,0) => (~$less(k,0) => (~$less($sum(X0,$uminus(1)),0) => ! [X25 : map_int_int] : (! [X9 : $int] : (($less(X9,k) & ~$less(X9,0)) => tb2t(get(int,int,t2tb1(X25),t2tb(X9))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,$sum($sum(X0,$uminus(1)),1))) => (~$less($sum(k,$uminus(1)),0) => ! [X5 : $int,X26 : map_int_int,X9 : $int] : ((~$less($sum(k,$uminus(1)),X9) & ~$less(X9,0)) => ((sorted_sub(X26,0,X5) & ! [X29 : $int] : ((~$less(X29,0) & $less(X29,X9)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X26)),t2tb(X29))),0,X5)) & ! [X30 : $int] : (($less(X30,X5) & ~$less(X30,0)) => (~$less(tb2t(get(int,int,t2tb1(X26),t2tb(X30))),0) & $less(tb2t(get(int,int,t2tb1(X26),t2tb(X30))),X9))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0) = X5) => ((~$less(k,0) & $less(X9,k) & ~$less(X9,0)) => (~$less(tb2t(get(int,int,t2tb1(X25),t2tb(X9))),1) => ! [X27 : $int,X28 : map_int_int,X6 : $int] : ((~$less(tb2t(get(int,int,t2tb1(X25),t2tb(X9))),X6) & ~$less(X6,1)) => ((sorted_sub(X28,0,X27) & ! [X30 : $int] : (($less(X30,X27) & ~$less(X30,0)) => (~$less(tb2t(get(int,int,t2tb1(X28),t2tb(X30))),0) & ~$less(X9,tb2t(get(int,int,t2tb1(X28),t2tb(X30)))))) & ! [X29 : $int] : (($less(X29,X9) & ~$less(X29,0)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X29))),0,X27) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X9))),0,X27) = $sum(X6,$uminus(1)) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0) = $sum($sum(X27,$uminus(X6)),1)) => ((~$less(X27,0) & $less(X27,X3) & ~$less(X3,0)) => ! [X31 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X28),t2tb(X27),t2tb(X9))) = X31 & ~$less(X3,0)) => ! [X32 : $int] : ($sum(X27,1) = X32 => ! [X30 : $int] : ((~$less(X30,0) & $less(X30,X32)) => (~$less(X9,tb2t(get(int,int,t2tb1(X31),t2tb(X30)))) & ~$less(tb2t(get(int,int,t2tb1(X31),t2tb(X30))),0))))))))))))))))))), 25.81/3.69 inference(theory_normalization,[],[f63])). 25.81/3.69 tff(f63,negated_conjecture,( 25.81/3.69 ~! [X0 : $int,X14 : map_int_int,X3 : $int,X18 : map_int_int] : (($lesseq(0,X0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X14)))) & X0 = X3 & $lesseq(0,X3)) => ($lesseq(0,k) => ($lesseq(0,k) => ($lesseq(0,$difference(X0,1)) => ! [X25 : map_int_int] : (! [X9 : $int] : (($less(X9,k) & $lesseq(0,X9)) => tb2t(get(int,int,t2tb1(X25),t2tb(X9))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,$sum($difference(X0,1),1))) => ($lesseq(0,$difference(k,1)) => ! [X5 : $int,X26 : map_int_int,X9 : $int] : (($lesseq(X9,$difference(k,1)) & $lesseq(0,X9)) => ((sorted_sub(X26,0,X5) & ! [X29 : $int] : (($lesseq(0,X29) & $less(X29,X9)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X26)),t2tb(X29))),0,X5)) & ! [X30 : $int] : (($less(X30,X5) & $lesseq(0,X30)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X26),t2tb(X30)))) & $less(tb2t(get(int,int,t2tb1(X26),t2tb(X30))),X9))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0) = X5) => (($lesseq(0,k) & $less(X9,k) & $lesseq(0,X9)) => ($lesseq(1,tb2t(get(int,int,t2tb1(X25),t2tb(X9)))) => ! [X27 : $int,X28 : map_int_int,X6 : $int] : (($lesseq(X6,tb2t(get(int,int,t2tb1(X25),t2tb(X9)))) & $lesseq(1,X6)) => ((sorted_sub(X28,0,X27) & ! [X30 : $int] : (($less(X30,X27) & $lesseq(0,X30)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X28),t2tb(X30)))) & $lesseq(tb2t(get(int,int,t2tb1(X28),t2tb(X30))),X9))) & ! [X29 : $int] : (($less(X29,X9) & $lesseq(0,X29)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X29))),0,X27) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X9))),0,X27) = $difference(X6,1) & $sum($difference(X27,X6),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0)) => (($lesseq(0,X27) & $less(X27,X3) & $lesseq(0,X3)) => ! [X31 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X28),t2tb(X27),t2tb(X9))) = X31 & $lesseq(0,X3)) => ! [X32 : $int] : ($sum(X27,1) = X32 => ! [X30 : $int] : (($lesseq(0,X30) & $less(X30,X32)) => ($lesseq(tb2t(get(int,int,t2tb1(X31),t2tb(X30))),X9) & $lesseq(0,tb2t(get(int,int,t2tb1(X31),t2tb(X30)))))))))))))))))))))), 25.81/3.69 inference(negated_conjecture,[],[f62])). 25.81/3.69 tff(f62,conjecture,( 25.81/3.69 ! [X0 : $int,X14 : map_int_int,X3 : $int,X18 : map_int_int] : (($lesseq(0,X0) & k_values(tb2t2(mk_array(int,X0,t2tb1(X14)))) & X0 = X3 & $lesseq(0,X3)) => ($lesseq(0,k) => ($lesseq(0,k) => ($lesseq(0,$difference(X0,1)) => ! [X25 : map_int_int] : (! [X9 : $int] : (($less(X9,k) & $lesseq(0,X9)) => tb2t(get(int,int,t2tb1(X25),t2tb(X9))) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,$sum($difference(X0,1),1))) => ($lesseq(0,$difference(k,1)) => ! [X5 : $int,X26 : map_int_int,X9 : $int] : (($lesseq(X9,$difference(k,1)) & $lesseq(0,X9)) => ((sorted_sub(X26,0,X5) & ! [X29 : $int] : (($lesseq(0,X29) & $less(X29,X9)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X26)),t2tb(X29))),0,X5)) & ! [X30 : $int] : (($less(X30,X5) & $lesseq(0,X30)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X26),t2tb(X30)))) & $less(tb2t(get(int,int,t2tb1(X26),t2tb(X30))),X9))) & num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0) = X5) => (($lesseq(0,k) & $less(X9,k) & $lesseq(0,X9)) => ($lesseq(1,tb2t(get(int,int,t2tb1(X25),t2tb(X9)))) => ! [X27 : $int,X28 : map_int_int,X6 : $int] : (($lesseq(X6,tb2t(get(int,int,t2tb1(X25),t2tb(X9)))) & $lesseq(1,X6)) => ((sorted_sub(X28,0,X27) & ! [X30 : $int] : (($less(X30,X27) & $lesseq(0,X30)) => ($lesseq(0,tb2t(get(int,int,t2tb1(X28),t2tb(X30)))) & $lesseq(tb2t(get(int,int,t2tb1(X28),t2tb(X30))),X9))) & ! [X29 : $int] : (($less(X29,X9) & $lesseq(0,X29)) => num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X29))),0,X27) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X29))),0,X0)) & num_of(tb2t3(tuple21(array(int),int,mk_array(int,X3,t2tb1(X28)),t2tb(X9))),0,X27) = $difference(X6,1) & $sum($difference(X27,X6),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,X0,t2tb1(X14)),t2tb(X9))),0,X0)) => (($lesseq(0,X27) & $less(X27,X3) & $lesseq(0,X3)) => ! [X31 : map_int_int] : ((tb2t1(set(int,int,t2tb1(X28),t2tb(X27),t2tb(X9))) = X31 & $lesseq(0,X3)) => ! [X32 : $int] : ($sum(X27,1) = X32 => ! [X30 : $int] : (($lesseq(0,X30) & $less(X30,X32)) => ($lesseq(tb2t(get(int,int,t2tb1(X31),t2tb(X30))),X9) & $lesseq(0,tb2t(get(int,int,t2tb1(X31),t2tb(X30)))))))))))))))))))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_counting_sort)). 25.81/3.69 tff(f1446,plain,( 25.81/3.69 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | ~spl22_82), 25.81/3.69 inference(avatar_component_clause,[],[f1444])). 25.81/3.69 tff(f1447,plain,( 25.81/3.69 spl22_70 | ~spl22_71 | spl22_82 | ~spl22_69 | ~spl22_80), 25.81/3.69 inference(avatar_split_clause,[],[f1421,f1408,f1283,f1444,f1299,f1295])). 25.81/3.69 tff(f1295,plain,( 25.81/3.69 spl22_70 <=> t2tb(sK7) = t2tb(sK12)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_70])])). 25.81/3.69 tff(f1283,plain,( 25.81/3.69 spl22_69 <=> ! [X0 : uni] : (get(int,int,t2tb1(sK8),X0) = get(int,int,t2tb1(sK10),X0) | ~sort(int,X0) | t2tb(sK7) = X0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_69])])). 25.81/3.69 tff(f1408,plain,( 25.81/3.69 spl22_80 <=> $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_80])])). 25.81/3.69 tff(f1421,plain,( 25.81/3.69 $less(sK6,tb2t(get(int,int,t2tb1(sK8),t2tb(sK12)))) | ~sort(int,t2tb(sK12)) | t2tb(sK7) = t2tb(sK12) | (~spl22_69 | ~spl22_80)), 25.81/3.69 inference(superposition,[],[f1410,f1284])). 25.81/3.69 tff(f1284,plain,( 25.81/3.69 ( ! [X0 : uni] : (get(int,int,t2tb1(sK8),X0) = get(int,int,t2tb1(sK10),X0) | ~sort(int,X0) | t2tb(sK7) = X0) ) | ~spl22_69), 25.81/3.69 inference(avatar_component_clause,[],[f1283])). 25.81/3.69 tff(f1410,plain,( 25.81/3.69 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | ~spl22_80), 25.81/3.69 inference(avatar_component_clause,[],[f1408])). 25.81/3.69 tff(f1418,plain,( 25.81/3.69 spl22_81 | ~spl22_31 | ~spl22_77), 25.81/3.69 inference(avatar_split_clause,[],[f1413,f1379,f792,f1415])). 25.81/3.69 tff(f1415,plain,( 25.81/3.69 spl22_81 <=> $less(sK11,sK11)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_81])])). 25.81/3.69 tff(f792,plain,( 25.81/3.69 spl22_31 <=> ! [X3 : $int] : (~$less(sK7,X3) | $less(sK11,X3))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_31])])). 25.81/3.69 tff(f1379,plain,( 25.81/3.69 spl22_77 <=> $less(sK7,sK11)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_77])])). 25.81/3.69 tff(f1413,plain,( 25.81/3.69 $less(sK11,sK11) | (~spl22_31 | ~spl22_77)), 25.81/3.69 inference(resolution,[],[f793,f1381])). 25.81/3.69 tff(f1381,plain,( 25.81/3.69 $less(sK7,sK11) | ~spl22_77), 25.81/3.69 inference(avatar_component_clause,[],[f1379])). 25.81/3.69 tff(f793,plain,( 25.81/3.69 ( ! [X3 : $int] : (~$less(sK7,X3) | $less(sK11,X3)) ) | ~spl22_31), 25.81/3.69 inference(avatar_component_clause,[],[f792])). 25.81/3.69 tff(f1411,plain,( 25.81/3.69 spl22_80 | ~spl22_37), 25.81/3.69 inference(avatar_split_clause,[],[f1406,f847,f1408])). 25.81/3.69 tff(f847,plain,( 25.81/3.69 spl22_37 <=> ! [X2 : $int,X1 : $int] : (sK6 != X1 | $less(X1,X2) | tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_37])])). 25.81/3.69 tff(f1406,plain,( 25.81/3.69 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | ~spl22_37), 25.81/3.69 inference(equality_resolution,[],[f1395])). 25.81/3.69 tff(f1395,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK6 != X0 | $less(X0,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))))) ) | ~spl22_37), 25.81/3.69 inference(equality_resolution,[],[f848])). 25.81/3.69 tff(f848,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X2 | $less(X1,X2) | sK6 != X1) ) | ~spl22_37), 25.81/3.69 inference(avatar_component_clause,[],[f847])). 25.81/3.69 tff(f1405,plain,( 25.81/3.69 ~spl22_79 | ~spl22_44), 25.81/3.69 inference(avatar_split_clause,[],[f1400,f937,f1402])). 25.81/3.69 tff(f1402,plain,( 25.81/3.69 spl22_79 <=> $less($sum(sK7,0),$sum(sK9,-1))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_79])])). 25.81/3.69 tff(f937,plain,( 25.81/3.69 spl22_44 <=> ! [X3 : $int] : ($sum(sK9,-1) != X3 | ~$less($sum(sK7,0),X3))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_44])])). 25.81/3.69 tff(f1400,plain,( 25.81/3.69 ~$less($sum(sK7,0),$sum(sK9,-1)) | ~spl22_44), 25.81/3.69 inference(equality_resolution,[],[f938])). 25.81/3.69 tff(f938,plain,( 25.81/3.69 ( ! [X3 : $int] : ($sum(sK9,-1) != X3 | ~$less($sum(sK7,0),X3)) ) | ~spl22_44), 25.81/3.69 inference(avatar_component_clause,[],[f937])). 25.81/3.69 tff(f1393,plain,( 25.81/3.69 ~spl22_43 | ~spl22_42), 25.81/3.69 inference(avatar_split_clause,[],[f927,f923,f929])). 25.81/3.69 tff(f929,plain,( 25.81/3.69 spl22_43 <=> $less($sum(sK9,-1),0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_43])])). 25.81/3.69 tff(f923,plain,( 25.81/3.69 spl22_42 <=> ! [X2 : $int] : ($sum(sK9,-1) != X2 | ~$less(X2,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_42])])). 25.81/3.69 tff(f927,plain,( 25.81/3.69 ~$less($sum(sK9,-1),0) | ~spl22_42), 25.81/3.69 inference(equality_resolution,[],[f924])). 25.81/3.69 tff(f924,plain,( 25.81/3.69 ( ! [X2 : $int] : ($sum(sK9,-1) != X2 | ~$less(X2,0)) ) | ~spl22_42), 25.81/3.69 inference(avatar_component_clause,[],[f923])). 25.81/3.69 tff(f1390,plain,( 25.81/3.69 spl22_66 | ~spl22_23 | ~spl22_37 | ~spl22_70), 25.81/3.69 inference(avatar_split_clause,[],[f1389,f1295,f847,f695,f1270])). 25.81/3.69 tff(f1270,plain,( 25.81/3.69 spl22_66 <=> $less(sK6,sK6)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_66])])). 25.81/3.69 tff(f695,plain,( 25.81/3.69 spl22_23 <=> t2tb(sK6) = get(int,int,t2tb1(sK10),t2tb(sK7))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_23])])). 25.81/3.69 tff(f1389,plain,( 25.81/3.69 $less(sK6,sK6) | (~spl22_23 | ~spl22_37 | ~spl22_70)), 25.81/3.69 inference(equality_resolution,[],[f1366])). 25.81/3.69 tff(f1366,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK6 != X0 | $less(X0,sK6)) ) | (~spl22_23 | ~spl22_37 | ~spl22_70)), 25.81/3.69 inference(equality_resolution,[],[f1365])). 25.81/3.69 tff(f1365,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK6 != X2 | sK6 != X1 | $less(X1,X2)) ) | (~spl22_23 | ~spl22_37 | ~spl22_70)), 25.81/3.69 inference(forward_demodulation,[],[f1364,f342])). 25.81/3.69 tff(f342,plain,( 25.81/3.69 ( ! [X0 : $int] : (tb2t(t2tb(X0)) = X0) )), 25.81/3.69 inference(cnf_transformation,[],[f122])). 25.81/3.69 tff(f122,plain,( 25.81/3.69 ! [X0 : $int] : tb2t(t2tb(X0)) = X0), 25.81/3.69 inference(rectify,[],[f39])). 25.81/3.69 tff(f39,axiom,( 25.81/3.69 ! [X6 : $int] : tb2t(t2tb(X6)) = X6), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL)). 25.81/3.69 tff(f1364,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (tb2t(t2tb(sK6)) != X2 | sK6 != X1 | $less(X1,X2)) ) | (~spl22_23 | ~spl22_37 | ~spl22_70)), 25.81/3.69 inference(forward_demodulation,[],[f1363,f697])). 25.81/3.69 tff(f697,plain,( 25.81/3.69 t2tb(sK6) = get(int,int,t2tb1(sK10),t2tb(sK7)) | ~spl22_23), 25.81/3.69 inference(avatar_component_clause,[],[f695])). 25.81/3.69 tff(f1363,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (tb2t(get(int,int,t2tb1(sK10),t2tb(sK7))) != X2 | sK6 != X1 | $less(X1,X2)) ) | (~spl22_37 | ~spl22_70)), 25.81/3.69 inference(forward_demodulation,[],[f848,f1297])). 25.81/3.69 tff(f1297,plain,( 25.81/3.69 t2tb(sK7) = t2tb(sK12) | ~spl22_70), 25.81/3.69 inference(avatar_component_clause,[],[f1295])). 25.81/3.69 tff(f1387,plain,( 25.81/3.69 ~spl22_78 | ~spl22_70 | spl22_73), 25.81/3.69 inference(avatar_split_clause,[],[f1372,f1314,f1295,f1384])). 25.81/3.69 tff(f1384,plain,( 25.81/3.69 spl22_78 <=> $less(sK7,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_78])])). 25.81/3.69 tff(f1372,plain,( 25.81/3.69 ~$less(sK7,sK7) | (~spl22_70 | spl22_73)), 25.81/3.69 inference(backward_demodulation,[],[f1316,f1357])). 25.81/3.69 tff(f1357,plain,( 25.81/3.69 sK7 = sK12 | ~spl22_70), 25.81/3.69 inference(forward_demodulation,[],[f1332,f342])). 25.81/3.69 tff(f1332,plain,( 25.81/3.69 sK12 = tb2t(t2tb(sK7)) | ~spl22_70), 25.81/3.69 inference(superposition,[],[f342,f1297])). 25.81/3.69 tff(f1316,plain,( 25.81/3.69 ~$less(sK12,sK7) | spl22_73), 25.81/3.69 inference(avatar_component_clause,[],[f1314])). 25.81/3.69 tff(f1382,plain,( 25.81/3.69 spl22_77 | ~spl22_12 | ~spl22_70), 25.81/3.69 inference(avatar_split_clause,[],[f1371,f1295,f623,f1379])). 25.81/3.69 tff(f623,plain,( 25.81/3.69 spl22_12 <=> $less(sK12,sK11)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_12])])). 25.81/3.69 tff(f1371,plain,( 25.81/3.69 $less(sK7,sK11) | (~spl22_12 | ~spl22_70)), 25.81/3.69 inference(backward_demodulation,[],[f625,f1357])). 25.81/3.69 tff(f625,plain,( 25.81/3.69 $less(sK12,sK11) | ~spl22_12), 25.81/3.69 inference(avatar_component_clause,[],[f623])). 25.81/3.69 tff(f1377,plain,( 25.81/3.69 spl22_76 | ~spl22_70), 25.81/3.69 inference(avatar_split_clause,[],[f1357,f1295,f1374])). 25.81/3.69 tff(f1374,plain,( 25.81/3.69 spl22_76 <=> sK7 = sK12), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_76])])). 25.81/3.69 tff(f1359,plain,( 25.81/3.69 spl22_8 | ~spl22_23 | ~spl22_39 | ~spl22_70), 25.81/3.69 inference(avatar_split_clause,[],[f1354,f1295,f862,f695,f599])). 25.81/3.69 tff(f599,plain,( 25.81/3.69 spl22_8 <=> $less(sK6,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_8])])). 25.81/3.69 tff(f862,plain,( 25.81/3.69 spl22_39 <=> $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_39])])). 25.81/3.69 tff(f1354,plain,( 25.81/3.69 $less(sK6,0) | (~spl22_23 | ~spl22_39 | ~spl22_70)), 25.81/3.69 inference(forward_demodulation,[],[f1353,f342])). 25.81/3.69 tff(f1353,plain,( 25.81/3.69 $less(tb2t(t2tb(sK6)),0) | (~spl22_23 | ~spl22_39 | ~spl22_70)), 25.81/3.69 inference(forward_demodulation,[],[f1329,f697])). 25.81/3.69 tff(f1329,plain,( 25.81/3.69 $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK7))),0) | (~spl22_39 | ~spl22_70)), 25.81/3.69 inference(backward_demodulation,[],[f864,f1297])). 25.81/3.69 tff(f864,plain,( 25.81/3.69 $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0) | ~spl22_39), 25.81/3.69 inference(avatar_component_clause,[],[f862])). 25.81/3.69 tff(f1327,plain,( 25.81/3.69 spl22_70 | ~spl22_71 | spl22_75 | ~spl22_36 | ~spl22_69), 25.81/3.69 inference(avatar_split_clause,[],[f1293,f1283,f844,f1325,f1299,f1295])). 25.81/3.69 tff(f1325,plain,( 25.81/3.69 spl22_75 <=> ! [X7 : $int] : (tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))) != X7 | $less(X7,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_75])])). 25.81/3.69 tff(f844,plain,( 25.81/3.69 spl22_36 <=> ! [X3 : $int] : (tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X3 | $less(X3,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_36])])). 25.81/3.69 tff(f1293,plain,( 25.81/3.69 ( ! [X7 : $int] : (tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))) != X7 | $less(X7,0) | ~sort(int,t2tb(sK12)) | t2tb(sK7) = t2tb(sK12)) ) | (~spl22_36 | ~spl22_69)), 25.81/3.69 inference(superposition,[],[f845,f1284])). 25.81/3.69 tff(f845,plain,( 25.81/3.69 ( ! [X3 : $int] : (tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X3 | $less(X3,0)) ) | ~spl22_36), 25.81/3.69 inference(avatar_component_clause,[],[f844])). 25.81/3.69 tff(f1322,plain,( 25.81/3.69 spl22_33 | spl22_74), 25.81/3.69 inference(avatar_split_clause,[],[f1064,f1320,f832])). 25.81/3.69 tff(f832,plain,( 25.81/3.69 spl22_33 <=> $less(0,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_33])])). 25.81/3.69 tff(f1320,plain,( 25.81/3.69 spl22_74 <=> ! [X1 : $int] : (0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X1))),0,sK2) | $less(X1,0) | ~$less(X1,sK6))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_74])])). 25.81/3.69 tff(f1064,plain,( 25.81/3.69 ( ! [X1 : $int] : (0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X1))),0,sK2) | ~$less(X1,sK6) | $less(X1,0) | $less(0,sK7)) )), 25.81/3.69 inference(superposition,[],[f878,f385])). 25.81/3.69 tff(f385,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 = num_of(X0,X1,X2) | $less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f222])). 25.81/3.69 tff(f222,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (0 = num_of(X0,X1,X2) | $less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f157])). 25.81/3.69 tff(f157,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => 0 = num_of(X0,X1,X2))), 25.81/3.69 inference(rectify,[],[f97])). 25.81/3.69 tff(f97,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : (~$less(X0,X3) => 0 = num_of(X2,X0,X3))), 25.81/3.69 inference(theory_normalization,[],[f69])). 25.81/3.69 tff(f69,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($lesseq(X3,X0) => 0 = num_of(X2,X0,X3))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_empty)). 25.81/3.69 tff(f878,plain,( 25.81/3.69 ( ! [X0 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X0))),0,sK2) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X0))),0,sK7) | ~$less(X0,sK6) | $less(X0,0)) )), 25.81/3.69 inference(equality_resolution,[],[f473])). 25.81/3.69 tff(f473,plain,( 25.81/3.69 ( ! [X14 : $int,X15 : $int] : (sK6 != X15 | num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X14))),0,sK7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X14))),0,sK2) | ~$less(X14,X15) | $less(X14,0)) )), 25.81/3.69 inference(theory_flattening,[],[f442])). 25.81/3.69 tff(f442,plain,( 25.81/3.69 ( ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X14))),0,sK7) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(X14))),0,sK2) | ~$less(X14,sK6) | $less(X14,0)) )), 25.81/3.69 inference(definition_unfolding,[],[f320,f297,f297])). 25.81/3.69 tff(f297,plain,( 25.81/3.69 sK0 = sK2), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f320,plain,( 25.81/3.69 ( ! [X14 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(X14))),0,sK0) = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(X14))),0,sK7) | ~$less(X14,sK6) | $less(X14,0)) )), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f1317,plain,( 25.81/3.69 spl22_3 | ~spl22_73 | ~spl22_72), 25.81/3.69 inference(avatar_split_clause,[],[f1308,f1303,f1314,f569])). 25.81/3.69 tff(f1303,plain,( 25.81/3.69 spl22_72 <=> $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_72])])). 25.81/3.69 tff(f1308,plain,( 25.81/3.69 ~$less(sK12,sK7) | $less(sK12,0) | ~spl22_72), 25.81/3.69 inference(resolution,[],[f1305,f880])). 25.81/3.69 tff(f880,plain,( 25.81/3.69 ( ! [X0 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X0))),0) | ~$less(X0,sK7) | $less(X0,0)) )), 25.81/3.69 inference(equality_resolution,[],[f735])). 25.81/3.69 tff(f735,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK7 != X1 | ~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X0))),0) | ~$less(X0,X1) | $less(X0,0)) )), 25.81/3.69 inference(equality_resolution,[],[f471])). 25.81/3.69 tff(f471,plain,( 25.81/3.69 ( ! [X14 : $int,X15 : $int,X13 : $int] : (tb2t(get(int,int,t2tb1(sK8),t2tb(X13))) != X14 | ~$less(X14,0) | sK7 != X15 | ~$less(X13,X15) | $less(X13,0)) )), 25.81/3.69 inference(theory_flattening,[],[f322])). 25.81/3.69 tff(f322,plain,( 25.81/3.69 ( ! [X13 : $int] : (~$less(tb2t(get(int,int,t2tb1(sK8),t2tb(X13))),0) | ~$less(X13,sK7) | $less(X13,0)) )), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f1305,plain,( 25.81/3.69 $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | ~spl22_72), 25.81/3.69 inference(avatar_component_clause,[],[f1303])). 25.81/3.69 tff(f1306,plain,( 25.81/3.69 spl22_70 | ~spl22_71 | spl22_72 | ~spl22_39 | ~spl22_69), 25.81/3.69 inference(avatar_split_clause,[],[f1292,f1283,f862,f1303,f1299,f1295])). 25.81/3.69 tff(f1292,plain,( 25.81/3.69 $less(tb2t(get(int,int,t2tb1(sK8),t2tb(sK12))),0) | ~sort(int,t2tb(sK12)) | t2tb(sK7) = t2tb(sK12) | (~spl22_39 | ~spl22_69)), 25.81/3.69 inference(superposition,[],[f864,f1284])). 25.81/3.69 tff(f1287,plain,( 25.81/3.69 spl22_68), 25.81/3.69 inference(avatar_contradiction_clause,[],[f1286])). 25.81/3.69 tff(f1286,plain,( 25.81/3.69 $false | spl22_68), 25.81/3.69 inference(resolution,[],[f1281,f337])). 25.81/3.69 tff(f1281,plain,( 25.81/3.69 ~sort(int,t2tb(sK7)) | spl22_68), 25.81/3.69 inference(avatar_component_clause,[],[f1279])). 25.81/3.69 tff(f1279,plain,( 25.81/3.69 spl22_68 <=> sort(int,t2tb(sK7))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_68])])). 25.81/3.69 tff(f1285,plain,( 25.81/3.69 ~spl22_68 | spl22_69 | ~spl22_18), 25.81/3.69 inference(avatar_split_clause,[],[f670,f665,f1283,f1279])). 25.81/3.69 tff(f665,plain,( 25.81/3.69 spl22_18 <=> set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_18])])). 25.81/3.69 tff(f670,plain,( 25.81/3.69 ( ! [X0 : uni] : (get(int,int,t2tb1(sK8),X0) = get(int,int,t2tb1(sK10),X0) | t2tb(sK7) = X0 | ~sort(int,X0) | ~sort(int,t2tb(sK7))) ) | ~spl22_18), 25.81/3.69 inference(superposition,[],[f430,f667])). 25.81/3.69 tff(f667,plain,( 25.81/3.69 set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10) | ~spl22_18), 25.81/3.69 inference(avatar_component_clause,[],[f665])). 25.81/3.69 tff(f430,plain,( 25.81/3.69 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4 | ~sort(X0,X4) | ~sort(X0,X3)) )), 25.81/3.69 inference(cnf_transformation,[],[f254])). 25.81/3.69 tff(f254,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort(X0,X4) | ~sort(X0,X3))), 25.81/3.69 inference(flattening,[],[f253])). 25.81/3.69 tff(f253,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4) | X3 = X4) | ~sort(X0,X4)) | ~sort(X0,X3))), 25.81/3.69 inference(ennf_transformation,[],[f187])). 25.81/3.69 tff(f187,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort(X0,X3) => (sort(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = get(X1,X0,X2,X4))))), 25.81/3.69 inference(rectify,[],[f21])). 25.81/3.69 tff(f21,axiom,( 25.81/3.69 ! [X0 : ty,X3 : ty,X16 : uni,X14 : uni,X17 : uni] : (sort(X0,X14) => (sort(X0,X17) => ! [X18 : uni] : (X14 != X17 => get(X3,X0,set(X3,X0,X16,X14,X18),X17) = get(X3,X0,X16,X17))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_neq)). 25.81/3.69 tff(f1277,plain,( 25.81/3.69 spl22_8 | ~spl22_66 | spl22_67 | ~spl22_46), 25.81/3.69 inference(avatar_split_clause,[],[f1063,f957,f1274,f1270,f599])). 25.81/3.69 tff(f1274,plain,( 25.81/3.69 spl22_67 <=> 0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_67])])). 25.81/3.69 tff(f957,plain,( 25.81/3.69 spl22_46 <=> 0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_46])])). 25.81/3.69 tff(f1063,plain,( 25.81/3.69 0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) | ~$less(sK6,sK6) | $less(sK6,0) | ~spl22_46), 25.81/3.69 inference(superposition,[],[f878,f959])). 25.81/3.69 tff(f959,plain,( 25.81/3.69 0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) | ~spl22_46), 25.81/3.69 inference(avatar_component_clause,[],[f957])). 25.81/3.69 tff(f1258,plain,( 25.81/3.69 ~spl22_65 | ~spl22_63), 25.81/3.69 inference(avatar_split_clause,[],[f1253,f1247,f1255])). 25.81/3.69 tff(f1255,plain,( 25.81/3.69 spl22_65 <=> lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_65])])). 25.81/3.69 tff(f1247,plain,( 25.81/3.69 spl22_63 <=> ! [X34 : $int] : (sK2 != X34 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X34))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_63])])). 25.81/3.69 tff(f1253,plain,( 25.81/3.69 ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK2) | ~spl22_63), 25.81/3.69 inference(equality_resolution,[],[f1248])). 25.81/3.69 tff(f1248,plain,( 25.81/3.69 ( ! [X34 : $int] : (sK2 != X34 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X34)) ) | ~spl22_63), 25.81/3.69 inference(avatar_component_clause,[],[f1247])). 25.81/3.69 tff(f1252,plain,( 25.81/3.69 spl22_63 | spl22_64 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f720,f686,f1250,f1247])). 25.81/3.69 tff(f1250,plain,( 25.81/3.69 spl22_64 <=> ! [X32 : $int,X33 : $int,X31 : $int] : (sK4 != X31 | ~$less(0,X32) | $sum(1,X31) = X33 | sK2 != $sum(X32,-1) | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X32) != X33)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_64])])). 25.81/3.69 tff(f686,plain,( 25.81/3.69 spl22_21 <=> sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_21])])). 25.81/3.69 tff(f720,plain,( 25.81/3.69 ( ! [X31 : $int,X34 : $int,X32 : $int,X33 : $int] : (sK4 != X31 | sK2 != $sum(X32,-1) | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X32) != X33 | $sum(1,X31) = X33 | sK2 != X34 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X34) | ~$less(0,X32)) ) | ~spl22_21), 25.81/3.69 inference(inner_rewriting,[],[f717])). 25.81/3.69 tff(f717,plain,( 25.81/3.69 ( ! [X31 : $int,X34 : $int,X32 : $int,X33 : $int] : (sK4 != X31 | sK2 != $sum(X32,-1) | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X32) != X33 | $sum(1,X31) = X33 | $sum(X32,-1) != X34 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X34) | ~$less(0,X32)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f549,f688])). 25.81/3.69 tff(f688,plain,( 25.81/3.69 sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) | ~spl22_21), 25.81/3.69 inference(avatar_component_clause,[],[f686])). 25.81/3.69 tff(f549,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (num_of1(X0,X1,X5) != X4 | $sum(X2,-1) != X5 | num_of1(X0,X1,X2) != X3 | $sum(1,X4) = X3 | $sum(X2,-1) != X6 | ~lt(X0,X6) | ~$less(X1,X2)) )), 25.81/3.69 inference(evaluation,[],[f511])). 25.81/3.69 tff(f511,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (num_of1(X0,X1,X2) != X3 | $sum(X2,$uminus(1)) != X5 | num_of1(X0,X1,X5) != X4 | $sum(1,X4) = X3 | $sum(X2,$uminus(1)) != X6 | ~lt(X0,X6) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f381])). 25.81/3.69 tff(f381,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) = $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) | ~lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f217])). 25.81/3.69 tff(f217,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) | ~lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2))), 25.81/3.69 inference(flattening,[],[f216])). 25.81/3.69 tff(f216,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1)))) | ~lt(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f153])). 25.81/3.69 tff(f153,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (lt(X0,$sum(X2,$uminus(1))) => num_of1(X0,X1,X2) = $sum(1,num_of1(X0,X1,$sum(X2,$uminus(1))))))), 25.81/3.69 inference(rectify,[],[f95])). 25.81/3.69 tff(f95,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (lt(X2,$sum(X3,$uminus(1))) => num_of1(X2,X0,X3) = $sum(1,num_of1(X2,X0,$sum(X3,$uminus(1))))))), 25.81/3.69 inference(theory_normalization,[],[f76])). 25.81/3.69 tff(f76,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (lt(X2,$difference(X3,1)) => num_of1(X2,X0,X3) = $sum(1,num_of1(X2,X0,$difference(X3,1)))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_add1)). 25.81/3.69 tff(f1224,plain,( 25.81/3.69 spl22_4 | spl22_62 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f711,f686,f1222,f575])). 25.81/3.69 tff(f575,plain,( 25.81/3.69 spl22_4 <=> $less(sK2,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_4])])). 25.81/3.69 tff(f1222,plain,( 25.81/3.69 spl22_62 <=> ! [X10 : $int,X11 : $int,X12 : $int,X9 : $int] : (sK4 != X9 | $less(0,X10) | $sum(X11,X9) = X12 | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X10,sK2) != X12 | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X10,0) != X11)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_62])])). 25.81/3.69 tff(f711,plain,( 25.81/3.69 ( ! [X10 : $int,X11 : $int,X9 : $int,X12 : $int] : (sK4 != X9 | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X10,0) != X11 | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),X10,sK2) != X12 | $sum(X11,X9) = X12 | $less(sK2,0) | $less(0,X10)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f528,f688])). 25.81/3.69 tff(f528,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X6 : $int,X4 : $int,X5 : $int] : (num_of1(X0,X2,X3) != X6 | num_of1(X0,X1,X2) != X5 | num_of1(X0,X1,X3) != X4 | $sum(X5,X6) = X4 | $less(X3,X2) | $less(X2,X1)) )), 25.81/3.69 inference(theory_flattening,[],[f419])). 25.81/3.69 tff(f419,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X3,X2) | $less(X2,X1)) )), 25.81/3.69 inference(cnf_transformation,[],[f246])). 25.81/3.69 tff(f246,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | $less(X3,X2) | $less(X2,X1))), 25.81/3.69 inference(flattening,[],[f245])). 25.81/3.69 tff(f245,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)) | ($less(X3,X2) | $less(X2,X1)))), 25.81/3.69 inference(ennf_transformation,[],[f182])). 25.81/3.69 tff(f182,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,X2) & ~$less(X2,X1)) => num_of1(X0,X1,X3) = $sum(num_of1(X0,X1,X2),num_of1(X0,X2,X3)))), 25.81/3.69 inference(rectify,[],[f107])). 25.81/3.69 tff(f107,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int,X25 : $int] : ((~$less(X25,X3) & ~$less(X3,X0)) => num_of1(X2,X0,X25) = $sum(num_of1(X2,X0,X3),num_of1(X2,X3,X25)))), 25.81/3.69 inference(theory_normalization,[],[f61])). 25.81/3.69 tff(f61,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int,X25 : $int] : (($lesseq(X3,X25) & $lesseq(X0,X3)) => num_of1(X2,X0,X25) = $sum(num_of1(X2,X0,X3),num_of1(X2,X3,X25)))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_append1)). 25.81/3.69 tff(f1220,plain,( 25.81/3.69 spl22_58 | spl22_57 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f1209,f941,f1126,f1166])). 25.81/3.69 tff(f1166,plain,( 25.81/3.69 spl22_58 <=> ! [X0 : lparray_intcm_intrp] : eq(X0,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_58])])). 25.81/3.69 tff(f1126,plain,( 25.81/3.69 spl22_57 <=> ! [X1 : $int] : (~$less($sum(sK9,$uminus(X1)),0) | $less(X1,0) | ~$less(X1,sK9))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_57])])). 25.81/3.69 tff(f941,plain,( 25.81/3.69 spl22_45 <=> 0 = $sum(sK9,-1)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_45])])). 25.81/3.69 tff(f1209,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (~$less($sum(sK9,$uminus(X1)),0) | ~$less(X1,sK9) | eq(X0,0) | $less(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f1207,f385])). 25.81/3.69 tff(f1207,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : lparray_intcm_intrp] : (~$less($sum(sK9,$uminus(X0)),num_of(X1,X0,0)) | ~$less(X0,sK9) | eq(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f1151])). 25.81/3.69 tff(f1151,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (num_of(X5,X6,0) != X7 | ~$less($sum(sK9,$uminus(X6)),X7) | ~$less(X6,sK9) | eq(X5,0)) ) | ~spl22_45), 25.81/3.69 inference(duplicate_literal_removal,[],[f1137])). 25.81/3.69 tff(f1137,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (num_of(X5,X6,0) != X7 | ~$less($sum(sK9,$uminus(X6)),X7) | ~$less(X6,sK9) | eq(X5,0) | ~$less(X6,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f504,f1131])). 25.81/3.69 tff(f1131,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,X1,sK9) = num_of(X0,X1,0) | eq(X0,0) | ~$less(X1,sK9)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f1130])). 25.81/3.69 tff(f1130,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 != X2 | num_of(X0,X1,sK9) = num_of(X0,X1,0) | eq(X0,X2) | ~$less(X1,sK9)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f951])). 25.81/3.69 tff(f951,plain,( 25.81/3.69 ( ! [X8 : $int,X6 : $int,X9 : $int,X7 : lparray_intcm_intrp] : (0 != X9 | num_of(X7,X8,sK9) = num_of(X7,X8,X9) | 0 != X6 | eq(X7,X6) | ~$less(X8,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f550,f943])). 25.81/3.69 tff(f943,plain,( 25.81/3.69 0 = $sum(sK9,-1) | ~spl22_45), 25.81/3.69 inference(avatar_component_clause,[],[f941])). 25.81/3.69 tff(f550,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X4 : $int] : ($sum(X2,-1) != X4 | num_of(X0,X1,X2) = num_of(X0,X1,X3) | $sum(X2,-1) != X3 | eq(X0,X4) | ~$less(X1,X2)) )), 25.81/3.69 inference(evaluation,[],[f510])). 25.81/3.69 tff(f510,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X4 : $int] : ($sum(X2,$uminus(1)) != X3 | num_of(X0,X1,X2) = num_of(X0,X1,X3) | $sum(X2,$uminus(1)) != X4 | eq(X0,X4) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f380])). 25.81/3.69 tff(f380,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,X1,X2) = num_of(X0,X1,$sum(X2,$uminus(1))) | eq(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f215])). 25.81/3.69 tff(f215,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = num_of(X0,X1,$sum(X2,$uminus(1))) | eq(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2))), 25.81/3.69 inference(flattening,[],[f214])). 25.81/3.69 tff(f214,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of(X0,X1,X2) = num_of(X0,X1,$sum(X2,$uminus(1))) | eq(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f152])). 25.81/3.69 tff(f152,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~eq(X0,$sum(X2,$uminus(1))) => num_of(X0,X1,X2) = num_of(X0,X1,$sum(X2,$uminus(1)))))), 25.81/3.69 inference(rectify,[],[f94])). 25.81/3.69 tff(f94,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~eq(X2,$sum(X3,$uminus(1))) => num_of(X2,X0,X3) = num_of(X2,X0,$sum(X3,$uminus(1)))))), 25.81/3.69 inference(theory_normalization,[],[f52])). 25.81/3.69 tff(f52,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~eq(X2,$difference(X3,1)) => num_of(X2,X0,X3) = num_of(X2,X0,$difference(X3,1))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_no_add)). 25.81/3.69 tff(f504,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,X1,X2) != X3 | ~$less($sum(X2,$uminus(X1)),X3) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f373])). 25.81/3.69 tff(f373,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2)) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f203])). 25.81/3.69 tff(f203,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((~$less(num_of(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f146])). 25.81/3.69 tff(f146,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less(num_of(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of(X0,X1,X2))))), 25.81/3.69 inference(rectify,[],[f92])). 25.81/3.69 tff(f92,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~$less(num_of(X2,X0,X3),0) & ~$less($sum(X3,$uminus(X0)),num_of(X2,X0,X3))))), 25.81/3.69 inference(theory_normalization,[],[f12])). 25.81/3.69 tff(f12,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => ($lesseq(0,num_of(X2,X0,X3)) & $lesseq(num_of(X2,X0,X3),$difference(X3,X0))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_bounds)). 25.81/3.69 tff(f1185,plain,( 25.81/3.69 spl22_59 | ~spl22_60 | spl22_61 | ~spl22_15 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f1150,f941,f644,f1183,f1179,f1175])). 25.81/3.69 tff(f1175,plain,( 25.81/3.69 spl22_59 <=> $less(sK11,sK9)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_59])])). 25.81/3.69 tff(f1179,plain,( 25.81/3.69 spl22_60 <=> $less(sK7,sK9)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_60])])). 25.81/3.69 tff(f1183,plain,( 25.81/3.69 spl22_61 <=> ! [X62 : lparray_intcm_intrp] : (0 = num_of(X62,sK7,0) | eq(X62,0) | eq(X62,sK7))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_61])])). 25.81/3.69 tff(f644,plain,( 25.81/3.69 spl22_15 <=> $sum(sK7,1) = sK11), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_15])])). 25.81/3.69 tff(f1150,plain,( 25.81/3.69 ( ! [X62 : lparray_intcm_intrp] : (0 = num_of(X62,sK7,0) | eq(X62,sK7) | ~$less(sK7,sK9) | $less(sK11,sK9) | eq(X62,0)) ) | (~spl22_15 | ~spl22_45)), 25.81/3.69 inference(duplicate_literal_removal,[],[f1149])). 25.81/3.69 tff(f1149,plain,( 25.81/3.69 ( ! [X62 : lparray_intcm_intrp] : (0 = num_of(X62,sK7,0) | eq(X62,sK7) | ~$less(sK7,sK9) | $less(sK11,sK9) | eq(X62,0) | ~$less(sK7,sK9)) ) | (~spl22_15 | ~spl22_45)), 25.81/3.69 inference(superposition,[],[f801,f1131])). 25.81/3.69 tff(f801,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int] : (0 = num_of(X2,sK7,X3) | eq(X2,sK7) | ~$less(sK7,X3) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f800,f385])). 25.81/3.69 tff(f800,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,sK7,X1) = num_of(X0,sK11,X1) | eq(X0,sK7) | ~$less(sK7,X1)) ) | ~spl22_15), 25.81/3.69 inference(equality_resolution,[],[f650])). 25.81/3.69 tff(f650,plain,( 25.81/3.69 ( ! [X3 : $int,X4 : lparray_intcm_intrp,X5 : $int] : (sK11 != X3 | num_of(X4,sK7,X5) = num_of(X4,X3,X5) | eq(X4,sK7) | ~$less(sK7,X5)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f506,f646])). 25.81/3.69 tff(f646,plain,( 25.81/3.69 $sum(sK7,1) = sK11 | ~spl22_15), 25.81/3.69 inference(avatar_component_clause,[],[f644])). 25.81/3.69 tff(f506,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : ($sum(X1,1) != X3 | num_of(X0,X1,X2) = num_of(X0,X3,X2) | eq(X0,X1) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f376])). 25.81/3.69 tff(f376,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f207])). 25.81/3.69 tff(f207,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1) | ~$less(X1,X2))), 25.81/3.69 inference(flattening,[],[f206])). 25.81/3.69 tff(f206,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2) | eq(X0,X1)) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f148])). 25.81/3.69 tff(f148,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~eq(X0,X1) => num_of(X0,X1,X2) = num_of(X0,$sum(X1,1),X2)))), 25.81/3.69 inference(rectify,[],[f72])). 25.81/3.69 tff(f72,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~eq(X2,X0) => num_of(X2,X0,X3) = num_of(X2,$sum(X0,1),X3)))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_no_add)). 25.81/3.69 tff(f1168,plain,( 25.81/3.69 spl22_58 | spl22_51 | spl22_32 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f1158,f941,f795,f1044,f1166])). 25.81/3.69 tff(f1044,plain,( 25.81/3.69 spl22_51 <=> ! [X1 : $int] : (~$less(X1,sK9) | $less(X1,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_51])])). 25.81/3.69 tff(f795,plain,( 25.81/3.69 spl22_32 <=> ! [X4 : $int] : (0 != X4 | ~$less(X4,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_32])])). 25.81/3.69 tff(f1158,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 != X2 | ~$less(X2,0) | ~$less(X1,sK9) | eq(X0,0) | $less(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f1152,f385])). 25.81/3.69 tff(f1152,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (num_of(X2,X3,0) != X4 | ~$less(X4,0) | ~$less(X3,sK9) | eq(X2,0)) ) | ~spl22_45), 25.81/3.69 inference(duplicate_literal_removal,[],[f1136])). 25.81/3.69 tff(f1136,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (num_of(X2,X3,0) != X4 | ~$less(X4,0) | ~$less(X3,sK9) | eq(X2,0) | ~$less(X3,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f503,f1131])). 25.81/3.69 tff(f503,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of(X0,X1,X2) != X3 | ~$less(X3,0) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f374])). 25.81/3.69 tff(f374,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (~$less(num_of(X0,X1,X2),0) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f203])). 25.81/3.69 tff(f1128,plain,( 25.81/3.69 spl22_50 | spl22_57 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f1114,f941,f1126,f1041])). 25.81/3.69 tff(f1041,plain,( 25.81/3.69 spl22_50 <=> ! [X0 : lparray_intcm_intrp] : lt(X0,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_50])])). 25.81/3.69 tff(f1114,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (~$less($sum(sK9,$uminus(X1)),0) | ~$less(X1,sK9) | lt(X0,0) | $less(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f1113,f386])). 25.81/3.69 tff(f386,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 = num_of1(X0,X1,X2) | $less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f223])). 25.81/3.69 tff(f223,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (0 = num_of1(X0,X1,X2) | $less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f158])). 25.81/3.69 tff(f158,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X1,X2) => 0 = num_of1(X0,X1,X2))), 25.81/3.69 inference(rectify,[],[f98])). 25.81/3.69 tff(f98,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : (~$less(X0,X3) => num_of1(X2,X0,X3) = 0)), 25.81/3.69 inference(theory_normalization,[],[f36])). 25.81/3.69 tff(f36,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($lesseq(X3,X0) => num_of1(X2,X0,X3) = 0)), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_empty1)). 25.81/3.69 tff(f1113,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : lparray_intcm_intrp] : (~$less($sum(sK9,$uminus(X0)),num_of1(X1,X0,0)) | ~$less(X0,sK9) | lt(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f1007])). 25.81/3.69 tff(f1007,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (num_of1(X5,X6,0) != X7 | ~$less($sum(sK9,$uminus(X6)),X7) | ~$less(X6,sK9) | lt(X5,0)) ) | ~spl22_45), 25.81/3.69 inference(duplicate_literal_removal,[],[f987])). 25.81/3.69 tff(f987,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (num_of1(X5,X6,0) != X7 | ~$less($sum(sK9,$uminus(X6)),X7) | ~$less(X6,sK9) | lt(X5,0) | ~$less(X6,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f502,f981])). 25.81/3.69 tff(f981,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,sK9) = num_of1(X0,X1,0) | lt(X0,0) | ~$less(X1,sK9)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f980])). 25.81/3.69 tff(f980,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 != X2 | num_of1(X0,X1,sK9) = num_of1(X0,X1,0) | lt(X0,X2) | ~$less(X1,sK9)) ) | ~spl22_45), 25.81/3.69 inference(equality_resolution,[],[f950])). 25.81/3.69 tff(f950,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : lparray_intcm_intrp,X4 : $int,X5 : $int] : (0 != X5 | num_of1(X3,X4,sK9) = num_of1(X3,X4,X5) | 0 != X2 | lt(X3,X2) | ~$less(X4,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f551,f943])). 25.81/3.69 tff(f551,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X4 : $int] : ($sum(X2,-1) != X4 | num_of1(X0,X1,X2) = num_of1(X0,X1,X3) | $sum(X2,-1) != X3 | lt(X0,X4) | ~$less(X1,X2)) )), 25.81/3.69 inference(evaluation,[],[f509])). 25.81/3.69 tff(f509,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X4 : $int] : ($sum(X2,$uminus(1)) != X3 | num_of1(X0,X1,X2) = num_of1(X0,X1,X3) | $sum(X2,$uminus(1)) != X4 | lt(X0,X4) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f379])). 25.81/3.69 tff(f379,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f213])). 25.81/3.69 tff(f213,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1))) | ~$less(X1,X2))), 25.81/3.69 inference(flattening,[],[f212])). 25.81/3.69 tff(f212,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1))) | lt(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f151])). 25.81/3.69 tff(f151,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~lt(X0,$sum(X2,$uminus(1))) => num_of1(X0,X1,X2) = num_of1(X0,X1,$sum(X2,$uminus(1)))))), 25.81/3.69 inference(rectify,[],[f93])). 25.81/3.69 tff(f93,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~lt(X2,$sum(X3,$uminus(1))) => num_of1(X2,X0,X3) = num_of1(X2,X0,$sum(X3,$uminus(1)))))), 25.81/3.69 inference(theory_normalization,[],[f86])). 25.81/3.69 tff(f86,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~lt(X2,$difference(X3,1)) => num_of1(X2,X0,X3) = num_of1(X2,X0,$difference(X3,1))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_right_no_add1)). 25.81/3.69 tff(f502,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) != X3 | ~$less($sum(X2,$uminus(X1)),X3) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f371])). 25.81/3.69 tff(f371,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2)) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f202])). 25.81/3.69 tff(f202,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((~$less(num_of1(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2))) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f145])). 25.81/3.69 tff(f145,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~$less(num_of1(X0,X1,X2),0) & ~$less($sum(X2,$uminus(X1)),num_of1(X0,X1,X2))))), 25.81/3.69 inference(rectify,[],[f91])). 25.81/3.69 tff(f91,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~$less(num_of1(X2,X0,X3),0) & ~$less($sum(X3,$uminus(X0)),num_of1(X2,X0,X3))))), 25.81/3.69 inference(theory_normalization,[],[f17])). 25.81/3.69 tff(f17,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => ($lesseq(0,num_of1(X2,X0,X3)) & $lesseq(num_of1(X2,X0,X3),$difference(X3,X0))))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_bounds1)). 25.81/3.69 tff(f1124,plain,( 25.81/3.69 spl22_4 | ~spl22_55 | spl22_56 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f718,f686,f1122,f1118,f575])). 25.81/3.69 tff(f1118,plain,( 25.81/3.69 spl22_55 <=> lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK14(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_55])])). 25.81/3.69 tff(f1122,plain,( 25.81/3.69 spl22_56 <=> ! [X5 : $int] : (sK4 != X5 | $sum(sK2,0) = X5)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_56])])). 25.81/3.69 tff(f718,plain,( 25.81/3.69 ( ! [X5 : $int] : (sK4 != X5 | $sum(sK2,0) = X5 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK14(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0)) ) | ~spl22_21), 25.81/3.69 inference(evaluation,[],[f709])). 25.81/3.69 tff(f709,plain,( 25.81/3.69 ( ! [X5 : $int] : (sK4 != X5 | $sum(sK2,$uminus(0)) = X5 | ~lt(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),sK14(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)) | $less(sK2,0)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f513,f688])). 25.81/3.69 tff(f513,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) != X3 | $sum(X2,$uminus(X1)) = X3 | ~lt(X0,sK14(X0,X1,X2)) | $less(X2,X1)) )), 25.81/3.69 inference(theory_flattening,[],[f390])). 25.81/3.69 tff(f390,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ~lt(X0,sK14(X0,X1,X2)) | $less(X2,X1)) )), 25.81/3.69 inference(cnf_transformation,[],[f279])). 25.81/3.69 tff(f279,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | (~lt(X0,sK14(X0,X1,X2)) & $less(sK14(X0,X1,X2),X2) & ~$less(sK14(X0,X1,X2),X1)) | $less(X2,X1))), 25.81/3.69 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f227,f278])). 25.81/3.69 tff(f278,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (? [X3 : $int] : (~lt(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) => (~lt(X0,sK14(X0,X1,X2)) & $less(sK14(X0,X1,X2),X2) & ~$less(sK14(X0,X1,X2),X1)))), 25.81/3.69 introduced(choice_axiom,[])). 25.81/3.69 tff(f227,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~lt(X0,X3) & $less(X3,X2) & ~$less(X3,X1)) | $less(X2,X1))), 25.81/3.69 inference(flattening,[],[f226])). 25.81/3.69 tff(f226,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = $sum(X2,$uminus(X1)) | ? [X3 : $int] : (~lt(X0,X3) & ($less(X3,X2) & ~$less(X3,X1)))) | $less(X2,X1))), 25.81/3.69 inference(ennf_transformation,[],[f160])). 25.81/3.69 tff(f160,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (~$less(X2,X1) => (! [X3 : $int] : (($less(X3,X2) & ~$less(X3,X1)) => lt(X0,X3)) => num_of1(X0,X1,X2) = $sum(X2,$uminus(X1))))), 25.81/3.69 inference(rectify,[],[f100])). 25.81/3.69 tff(f100,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : (~$less(X3,X0) => (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,X0)) => lt(X2,X4)) => num_of1(X2,X0,X3) = $sum(X3,$uminus(X0))))), 25.81/3.69 inference(theory_normalization,[],[f82])). 25.81/3.69 tff(f82,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($lesseq(X0,X3) => (! [X4 : $int] : (($less(X4,X3) & $lesseq(X0,X4)) => lt(X2,X4)) => num_of1(X2,X0,X3) = $difference(X3,X0)))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',full1)). 25.81/3.69 tff(f1090,plain,( 25.81/3.69 spl22_35 | spl22_54 | ~spl22_15), 25.81/3.69 inference(avatar_split_clause,[],[f827,f644,f1087,f840])). 25.81/3.69 tff(f840,plain,( 25.81/3.69 spl22_35 <=> ! [X2 : lparray_intcm_intrp] : eq(X2,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_35])])). 25.81/3.69 tff(f1087,plain,( 25.81/3.69 spl22_54 <=> ! [X6 : $int,X7 : $int] : (0 != X7 | $less(sK11,X6) | ~$less(sK7,X6) | ~$less($sum(X6,$uminus(sK7)),X7))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_54])])). 25.81/3.69 tff(f827,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (0 != X7 | ~$less($sum(X6,$uminus(sK7)),X7) | ~$less(sK7,X6) | eq(X5,sK7) | $less(sK11,X6)) ) | ~spl22_15), 25.81/3.69 inference(duplicate_literal_removal,[],[f816])). 25.81/3.69 tff(f816,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (0 != X7 | ~$less($sum(X6,$uminus(sK7)),X7) | ~$less(sK7,X6) | eq(X5,sK7) | ~$less(sK7,X6) | $less(sK11,X6)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f504,f801])). 25.81/3.69 tff(f1089,plain,( 25.81/3.69 spl22_30 | spl22_54 | ~spl22_15), 25.81/3.69 inference(avatar_split_clause,[],[f786,f644,f1087,f789])). 25.81/3.69 tff(f789,plain,( 25.81/3.69 spl22_30 <=> ! [X2 : lparray_intcm_intrp] : lt(X2,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_30])])). 25.81/3.69 tff(f786,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (0 != X7 | ~$less($sum(X6,$uminus(sK7)),X7) | ~$less(sK7,X6) | lt(X5,sK7) | $less(sK11,X6)) ) | ~spl22_15), 25.81/3.69 inference(duplicate_literal_removal,[],[f773])). 25.81/3.69 tff(f773,plain,( 25.81/3.69 ( ! [X6 : $int,X7 : $int,X5 : lparray_intcm_intrp] : (0 != X7 | ~$less($sum(X6,$uminus(sK7)),X7) | ~$less(sK7,X6) | lt(X5,sK7) | ~$less(sK7,X6) | $less(sK11,X6)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f502,f757])). 25.81/3.69 tff(f757,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int] : (0 = num_of1(X2,sK7,X3) | lt(X2,sK7) | ~$less(sK7,X3) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f754,f386])). 25.81/3.69 tff(f754,plain,( 25.81/3.69 ( ! [X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,sK7,X1) = num_of1(X0,sK11,X1) | lt(X0,sK7) | ~$less(sK7,X1)) ) | ~spl22_15), 25.81/3.69 inference(equality_resolution,[],[f649])). 25.81/3.69 tff(f649,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : $int,X1 : lparray_intcm_intrp] : (sK11 != X0 | num_of1(X1,sK7,X2) = num_of1(X1,X0,X2) | lt(X1,sK7) | ~$less(sK7,X2)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f505,f646])). 25.81/3.69 tff(f505,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : ($sum(X1,1) != X3 | num_of1(X0,X1,X2) = num_of1(X0,X3,X2) | lt(X0,X1) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f375])). 25.81/3.69 tff(f375,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f205])). 25.81/3.69 tff(f205,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : (num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1) | ~$less(X1,X2))), 25.81/3.69 inference(flattening,[],[f204])). 25.81/3.69 tff(f204,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ((num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2) | lt(X0,X1)) | ~$less(X1,X2))), 25.81/3.69 inference(ennf_transformation,[],[f147])). 25.81/3.69 tff(f147,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int] : ($less(X1,X2) => (~lt(X0,X1) => num_of1(X0,X1,X2) = num_of1(X0,$sum(X1,1),X2)))), 25.81/3.69 inference(rectify,[],[f77])). 25.81/3.69 tff(f77,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X0 : $int,X3 : $int] : ($less(X0,X3) => (~lt(X2,X0) => num_of1(X2,X0,X3) = num_of1(X2,$sum(X0,1),X3)))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_left_no_add1)). 25.81/3.69 tff(f1059,plain,( 25.81/3.69 spl22_4 | ~spl22_52), 25.81/3.69 inference(avatar_contradiction_clause,[],[f1058])). 25.81/3.69 tff(f1058,plain,( 25.81/3.69 $false | (spl22_4 | ~spl22_52)), 25.81/3.69 inference(evaluation,[],[f1057])). 25.81/3.69 tff(f1057,plain,( 25.81/3.69 $less(0,0) | (spl22_4 | ~spl22_52)), 25.81/3.69 inference(duplicate_literal_removal,[],[f1056])). 25.81/3.69 tff(f1056,plain,( 25.81/3.69 $less(0,0) | $less(0,0) | (spl22_4 | ~spl22_52)), 25.81/3.69 inference(resolution,[],[f1051,f577])). 25.81/3.69 tff(f577,plain,( 25.81/3.69 ~$less(sK2,0) | spl22_4), 25.81/3.69 inference(avatar_component_clause,[],[f575])). 25.81/3.69 tff(f1051,plain,( 25.81/3.69 ( ! [X2 : $int] : ($less(sK2,X2) | $less(0,X2) | $less(X2,0)) ) | ~spl22_52), 25.81/3.69 inference(avatar_component_clause,[],[f1050])). 25.81/3.69 tff(f1050,plain,( 25.81/3.69 spl22_52 <=> ! [X2 : $int] : ($less(X2,0) | $less(0,X2) | $less(sK2,X2))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_52])])). 25.81/3.69 tff(f1055,plain,( 25.81/3.69 spl22_52 | spl22_53 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f1016,f686,f1053,f1050])). 25.81/3.69 tff(f1053,plain,( 25.81/3.69 spl22_53 <=> ! [X4 : $int,X3 : $int] : (0 != X3 | sK4 != X4 | ~$less(X4,X3))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_53])])). 25.81/3.69 tff(f1016,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X4 : $int] : (0 != X3 | sK4 != X4 | ~$less(X4,X3) | $less(X2,0) | $less(sK2,X2) | $less(0,X2)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f710,f386])). 25.81/3.69 tff(f710,plain,( 25.81/3.69 ( ! [X8 : $int,X6 : $int,X7 : $int] : (num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,X7) != X8 | sK4 != X6 | ~$less(X6,X8) | $less(X7,0) | $less(sK2,X7)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f526,f688])). 25.81/3.69 tff(f526,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int,X4 : $int,X5 : $int] : (num_of1(X0,X1,X3) != X4 | num_of1(X0,X1,X2) != X5 | ~$less(X4,X5) | $less(X2,X1) | $less(X3,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f417])). 25.81/3.69 tff(f417,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f242])). 25.81/3.69 tff(f242,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | $less(X2,X1) | $less(X3,X2))), 25.81/3.69 inference(flattening,[],[f241])). 25.81/3.69 tff(f241,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : (~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)) | ($less(X2,X1) | $less(X3,X2)))), 25.81/3.69 inference(ennf_transformation,[],[f180])). 25.81/3.69 tff(f180,plain,( 25.81/3.69 ! [X0 : lparray_intcm_intrp,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => ~$less(num_of1(X0,X1,X3),num_of1(X0,X1,X2)))), 25.81/3.69 inference(rectify,[],[f105])). 25.81/3.69 tff(f105,plain,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X6 : $int,X5 : $int,X10 : $int] : ((~$less(X5,X6) & ~$less(X10,X5)) => ~$less(num_of1(X2,X6,X10),num_of1(X2,X6,X5)))), 25.81/3.69 inference(theory_normalization,[],[f33])). 25.81/3.69 tff(f33,axiom,( 25.81/3.69 ! [X2 : lparray_intcm_intrp,X6 : $int,X5 : $int,X10 : $int] : (($lesseq(X6,X5) & $lesseq(X5,X10)) => $lesseq(num_of1(X2,X6,X5),num_of1(X2,X6,X10)))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',num_of_increasing1)). 25.81/3.69 tff(f1046,plain,( 25.81/3.69 spl22_50 | spl22_51 | spl22_32 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f1011,f941,f795,f1044,f1041])). 25.81/3.69 tff(f1011,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (0 != X2 | ~$less(X2,0) | ~$less(X1,sK9) | lt(X0,0) | $less(X1,0)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f1008,f386])). 25.81/3.69 tff(f1008,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (num_of1(X2,X3,0) != X4 | ~$less(X4,0) | ~$less(X3,sK9) | lt(X2,0)) ) | ~spl22_45), 25.81/3.69 inference(duplicate_literal_removal,[],[f986])). 25.81/3.69 tff(f986,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (num_of1(X2,X3,0) != X4 | ~$less(X4,0) | ~$less(X3,sK9) | lt(X2,0) | ~$less(X3,sK9)) ) | ~spl22_45), 25.81/3.69 inference(superposition,[],[f501,f981])). 25.81/3.69 tff(f501,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (num_of1(X0,X1,X2) != X3 | ~$less(X3,0) | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f372])). 25.81/3.69 tff(f372,plain,( 25.81/3.69 ( ! [X2 : $int,X0 : lparray_intcm_intrp,X1 : $int] : (~$less(num_of1(X0,X1,X2),0) | ~$less(X1,X2)) )), 25.81/3.69 inference(cnf_transformation,[],[f202])). 25.81/3.69 tff(f1039,plain,( 25.81/3.69 ~spl22_49 | ~spl22_48), 25.81/3.69 inference(avatar_split_clause,[],[f1031,f1027,f1036])). 25.81/3.69 tff(f1036,plain,( 25.81/3.69 spl22_49 <=> $less(sK4,sK4)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_49])])). 25.81/3.69 tff(f1027,plain,( 25.81/3.69 spl22_48 <=> ! [X0 : $int,X1 : $int] : (sK4 != X0 | sK4 != X1 | ~$less(X1,X0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_48])])). 25.81/3.69 tff(f1031,plain,( 25.81/3.69 ~$less(sK4,sK4) | ~spl22_48), 25.81/3.69 inference(equality_resolution,[],[f1030])). 25.81/3.69 tff(f1030,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK4 != X0 | ~$less(sK4,X0)) ) | ~spl22_48), 25.81/3.69 inference(equality_resolution,[],[f1028])). 25.81/3.69 tff(f1028,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK4 != X1 | sK4 != X0 | ~$less(X1,X0)) ) | ~spl22_48), 25.81/3.69 inference(avatar_component_clause,[],[f1027])). 25.81/3.69 tff(f1029,plain,( 25.81/3.69 spl22_47 | spl22_4 | spl22_48 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f1015,f686,f1027,f575,f1023])). 25.81/3.69 tff(f1023,plain,( 25.81/3.69 spl22_47 <=> $less(sK2,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_47])])). 25.81/3.69 tff(f1015,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK4 != X0 | sK4 != X1 | ~$less(X1,X0) | $less(sK2,0) | $less(sK2,sK2)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f710,f688])). 25.81/3.69 tff(f960,plain,( 25.81/3.69 spl22_46 | ~spl22_41 | ~spl22_45), 25.81/3.69 inference(avatar_split_clause,[],[f948,f941,f900,f957])). 25.81/3.69 tff(f900,plain,( 25.81/3.69 spl22_41 <=> num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_41])])). 25.81/3.69 tff(f948,plain,( 25.81/3.69 0 = num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) | (~spl22_41 | ~spl22_45)), 25.81/3.69 inference(backward_demodulation,[],[f902,f943])). 25.81/3.69 tff(f902,plain,( 25.81/3.69 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1) | ~spl22_41), 25.81/3.69 inference(avatar_component_clause,[],[f900])). 25.81/3.69 tff(f944,plain,( 25.81/3.69 spl22_33 | spl22_45 | ~spl22_41), 25.81/3.69 inference(avatar_split_clause,[],[f904,f900,f941,f832])). 25.81/3.69 tff(f904,plain,( 25.81/3.69 0 = $sum(sK9,-1) | $less(0,sK7) | ~spl22_41), 25.81/3.69 inference(superposition,[],[f902,f385])). 25.81/3.69 tff(f939,plain,( 25.81/3.69 ~spl22_33 | spl22_44 | ~spl22_41), 25.81/3.69 inference(avatar_split_clause,[],[f920,f900,f937,f832])). 25.81/3.69 tff(f920,plain,( 25.81/3.69 ( ! [X3 : $int] : ($sum(sK9,-1) != X3 | ~$less($sum(sK7,0),X3) | ~$less(0,sK7)) ) | ~spl22_41), 25.81/3.69 inference(evaluation,[],[f908])). 25.81/3.69 tff(f908,plain,( 25.81/3.69 ( ! [X3 : $int] : ($sum(sK9,-1) != X3 | ~$less($sum(sK7,$uminus(0)),X3) | ~$less(0,sK7)) ) | ~spl22_41), 25.81/3.69 inference(superposition,[],[f504,f902])). 25.81/3.69 tff(f932,plain,( 25.81/3.69 ~spl22_43 | ~spl22_42), 25.81/3.69 inference(avatar_split_clause,[],[f927,f923,f929])). 25.81/3.69 tff(f925,plain,( 25.81/3.69 ~spl22_33 | spl22_42 | ~spl22_41), 25.81/3.69 inference(avatar_split_clause,[],[f907,f900,f923,f832])). 25.81/3.69 tff(f907,plain,( 25.81/3.69 ( ! [X2 : $int] : ($sum(sK9,-1) != X2 | ~$less(X2,0) | ~$less(0,sK7)) ) | ~spl22_41), 25.81/3.69 inference(superposition,[],[f503,f902])). 25.81/3.69 tff(f903,plain,( 25.81/3.69 spl22_41), 25.81/3.69 inference(avatar_split_clause,[],[f895,f900])). 25.81/3.69 tff(f895,plain,( 25.81/3.69 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,-1)), 25.81/3.69 inference(equality_resolution,[],[f830])). 25.81/3.69 tff(f830,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK9 != X0 | num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(X0,-1)) )), 25.81/3.69 inference(equality_resolution,[],[f552])). 25.81/3.69 tff(f552,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) != X1 | sK9 != X2 | $sum(X2,-1) = X1) )), 25.81/3.69 inference(evaluation,[],[f474])). 25.81/3.69 tff(f474,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) != X1 | sK9 != X2 | $sum(X2,$uminus(1)) = X1) )), 25.81/3.69 inference(theory_flattening,[],[f319])). 25.81/3.69 tff(f319,plain,( 25.81/3.69 num_of(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK8)),t2tb(sK6))),0,sK7) = $sum(sK9,$uminus(1))), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f873,plain,( 25.81/3.69 spl22_40 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f867,f686,f870])). 25.81/3.69 tff(f870,plain,( 25.81/3.69 spl22_40 <=> sK4 = $sum($sum(sK7,$uminus(sK9)),1)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_40])])). 25.81/3.69 tff(f867,plain,( 25.81/3.69 sK4 = $sum($sum(sK7,$uminus(sK9)),1) | ~spl22_21), 25.81/3.69 inference(equality_resolution,[],[f866])). 25.81/3.69 tff(f866,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK7 != X0 | sK4 = $sum($sum(X0,$uminus(sK9)),1)) ) | ~spl22_21), 25.81/3.69 inference(equality_resolution,[],[f860])). 25.81/3.69 tff(f860,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK9 != X0 | sK4 = $sum($sum(X1,$uminus(X0)),1) | sK7 != X1) ) | ~spl22_21), 25.81/3.69 inference(forward_demodulation,[],[f859,f688])). 25.81/3.69 tff(f859,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (sK9 != X0 | sK7 != X1 | num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) = $sum($sum(X1,$uminus(X0)),1)) )), 25.81/3.69 inference(equality_resolution,[],[f475])). 25.81/3.69 tff(f475,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X1 : $int] : (num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2) != X3 | sK9 != X2 | sK7 != X1 | $sum($sum(X1,$uminus(X2)),1) = X3) )), 25.81/3.69 inference(theory_flattening,[],[f443])). 25.81/3.69 tff(f443,plain,( 25.81/3.69 $sum($sum(sK7,$uminus(sK9)),1) = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)), 25.81/3.69 inference(definition_unfolding,[],[f318,f297,f297])). 25.81/3.69 tff(f318,plain,( 25.81/3.69 num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0) = $sum($sum(sK7,$uminus(sK9)),1)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f865,plain,( 25.81/3.69 spl22_39 | ~spl22_36), 25.81/3.69 inference(avatar_split_clause,[],[f856,f844,f862])). 25.81/3.69 tff(f856,plain,( 25.81/3.69 $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0) | ~spl22_36), 25.81/3.69 inference(equality_resolution,[],[f845])). 25.81/3.69 tff(f855,plain,( 25.81/3.69 spl22_38 | ~spl22_13 | ~spl22_31), 25.81/3.69 inference(avatar_split_clause,[],[f850,f792,f631,f852])). 25.81/3.69 tff(f852,plain,( 25.81/3.69 spl22_38 <=> $less(sK11,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_38])])). 25.81/3.69 tff(f631,plain,( 25.81/3.69 spl22_13 <=> $less(sK7,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_13])])). 25.81/3.69 tff(f850,plain,( 25.81/3.69 $less(sK11,sK2) | (~spl22_13 | ~spl22_31)), 25.81/3.69 inference(resolution,[],[f793,f633])). 25.81/3.69 tff(f633,plain,( 25.81/3.69 $less(sK7,sK2) | ~spl22_13), 25.81/3.69 inference(avatar_component_clause,[],[f631])). 25.81/3.69 tff(f849,plain,( 25.81/3.69 spl22_36 | spl22_37), 25.81/3.69 inference(avatar_split_clause,[],[f463,f847,f844])). 25.81/3.69 tff(f463,plain,( 25.81/3.69 ( ! [X2 : $int,X3 : $int,X1 : $int] : (sK6 != X1 | tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X2 | $less(X1,X2) | tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))) != X3 | $less(X3,0)) )), 25.81/3.69 inference(theory_flattening,[],[f332])). 25.81/3.69 tff(f332,plain,( 25.81/3.69 $less(sK6,tb2t(get(int,int,t2tb1(sK10),t2tb(sK12)))) | $less(tb2t(get(int,int,t2tb1(sK10),t2tb(sK12))),0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f842,plain,( 25.81/3.69 spl22_35 | spl22_31 | spl22_32 | ~spl22_15), 25.81/3.69 inference(avatar_split_clause,[],[f828,f644,f795,f792,f840])). 25.81/3.69 tff(f828,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (0 != X4 | ~$less(X4,0) | ~$less(sK7,X3) | eq(X2,sK7) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(duplicate_literal_removal,[],[f815])). 25.81/3.69 tff(f815,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (0 != X4 | ~$less(X4,0) | ~$less(sK7,X3) | eq(X2,sK7) | ~$less(sK7,X3) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f503,f801])). 25.81/3.69 tff(f838,plain,( 25.81/3.69 spl22_33 | spl22_34), 25.81/3.69 inference(avatar_split_clause,[],[f829,f836,f832])). 25.81/3.69 tff(f836,plain,( 25.81/3.69 spl22_34 <=> ! [X0 : $int,X1 : $int] : (0 != X0 | sK9 != X1 | $sum(X1,-1) = X0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_34])])). 25.81/3.69 tff(f829,plain,( 25.81/3.69 ( ! [X0 : $int,X1 : $int] : (0 != X0 | sK9 != X1 | $sum(X1,-1) = X0 | $less(0,sK7)) )), 25.81/3.69 inference(superposition,[],[f552,f385])). 25.81/3.69 tff(f797,plain,( 25.81/3.69 spl22_30 | spl22_31 | spl22_32 | ~spl22_15), 25.81/3.69 inference(avatar_split_clause,[],[f787,f644,f795,f792,f789])). 25.81/3.69 tff(f787,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (0 != X4 | ~$less(X4,0) | ~$less(sK7,X3) | lt(X2,sK7) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(duplicate_literal_removal,[],[f772])). 25.81/3.69 tff(f772,plain,( 25.81/3.69 ( ! [X2 : lparray_intcm_intrp,X3 : $int,X4 : $int] : (0 != X4 | ~$less(X4,0) | ~$less(sK7,X3) | lt(X2,sK7) | ~$less(sK7,X3) | $less(sK11,X3)) ) | ~spl22_15), 25.81/3.69 inference(superposition,[],[f501,f757])). 25.81/3.69 tff(f753,plain,( 25.81/3.69 ~spl22_29 | ~spl22_28), 25.81/3.69 inference(avatar_split_clause,[],[f748,f743,f750])). 25.81/3.69 tff(f750,plain,( 25.81/3.69 spl22_29 <=> $less($sum(sK2,0),sK4)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_29])])). 25.81/3.69 tff(f743,plain,( 25.81/3.69 spl22_28 <=> ! [X1 : $int] : (sK4 != X1 | ~$less($sum(sK2,0),X1))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_28])])). 25.81/3.69 tff(f748,plain,( 25.81/3.69 ~$less($sum(sK2,0),sK4) | ~spl22_28), 25.81/3.69 inference(equality_resolution,[],[f744])). 25.81/3.69 tff(f744,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK4 != X1 | ~$less($sum(sK2,0),X1)) ) | ~spl22_28), 25.81/3.69 inference(avatar_component_clause,[],[f743])). 25.81/3.69 tff(f745,plain,( 25.81/3.69 ~spl22_24 | spl22_28 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f719,f686,f743,f722])). 25.81/3.69 tff(f722,plain,( 25.81/3.69 spl22_24 <=> $less(0,sK2)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_24])])). 25.81/3.69 tff(f719,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK4 != X1 | ~$less($sum(sK2,0),X1) | ~$less(0,sK2)) ) | ~spl22_21), 25.81/3.69 inference(evaluation,[],[f707])). 25.81/3.69 tff(f707,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK4 != X1 | ~$less($sum(sK2,$uminus(0)),X1) | ~$less(0,sK2)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f502,f688])). 25.81/3.69 tff(f741,plain,( 25.81/3.69 ~spl22_27 | ~spl22_26), 25.81/3.69 inference(avatar_split_clause,[],[f736,f731,f738])). 25.81/3.69 tff(f738,plain,( 25.81/3.69 spl22_27 <=> $less(sK4,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_27])])). 25.81/3.69 tff(f731,plain,( 25.81/3.69 spl22_26 <=> ! [X0 : $int] : (sK4 != X0 | ~$less(X0,0))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_26])])). 25.81/3.69 tff(f736,plain,( 25.81/3.69 ~$less(sK4,0) | ~spl22_26), 25.81/3.69 inference(equality_resolution,[],[f732])). 25.81/3.69 tff(f732,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK4 != X0 | ~$less(X0,0)) ) | ~spl22_26), 25.81/3.69 inference(avatar_component_clause,[],[f731])). 25.81/3.69 tff(f733,plain,( 25.81/3.69 ~spl22_24 | spl22_26 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f706,f686,f731,f722])). 25.81/3.69 tff(f706,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK4 != X0 | ~$less(X0,0) | ~$less(0,sK2)) ) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f501,f688])). 25.81/3.69 tff(f729,plain,( 25.81/3.69 spl22_24 | spl22_25 | ~spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f704,f686,f726,f722])). 25.81/3.69 tff(f726,plain,( 25.81/3.69 spl22_25 <=> 0 = sK4), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_25])])). 25.81/3.69 tff(f704,plain,( 25.81/3.69 0 = sK4 | $less(0,sK2) | ~spl22_21), 25.81/3.69 inference(superposition,[],[f688,f386])). 25.81/3.69 tff(f700,plain,( 25.81/3.69 spl22_22), 25.81/3.69 inference(avatar_contradiction_clause,[],[f699])). 25.81/3.69 tff(f699,plain,( 25.81/3.69 $false | spl22_22), 25.81/3.69 inference(resolution,[],[f693,f337])). 25.81/3.69 tff(f693,plain,( 25.81/3.69 ~sort(int,t2tb(sK6)) | spl22_22), 25.81/3.69 inference(avatar_component_clause,[],[f691])). 25.81/3.69 tff(f691,plain,( 25.81/3.69 spl22_22 <=> sort(int,t2tb(sK6))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_22])])). 25.81/3.69 tff(f698,plain,( 25.81/3.69 ~spl22_22 | spl22_23 | ~spl22_18), 25.81/3.69 inference(avatar_split_clause,[],[f669,f665,f695,f691])). 25.81/3.69 tff(f669,plain,( 25.81/3.69 t2tb(sK6) = get(int,int,t2tb1(sK10),t2tb(sK7)) | ~sort(int,t2tb(sK6)) | ~spl22_18), 25.81/3.69 inference(superposition,[],[f462,f667])). 25.81/3.69 tff(f462,plain,( 25.81/3.69 ( ! [X2 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 | ~sort(X1,X5)) )), 25.81/3.69 inference(equality_resolution,[],[f441])). 25.81/3.69 tff(f441,plain,( 25.81/3.69 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5)) )), 25.81/3.69 inference(cnf_transformation,[],[f264])). 25.81/3.69 tff(f264,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5))), 25.81/3.69 inference(flattening,[],[f263])). 25.81/3.69 tff(f263,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort(X1,X5))), 25.81/3.69 inference(ennf_transformation,[],[f192])). 25.81/3.69 tff(f192,plain,( 25.81/3.69 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort(X1,X5) => (X3 = X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5))), 25.81/3.69 inference(rectify,[],[f34])). 25.81/3.69 tff(f34,axiom,( 25.81/3.69 ! [X0 : ty,X3 : ty,X16 : uni,X14 : uni,X17 : uni,X18 : uni] : (sort(X3,X18) => (X14 = X17 => get(X3,X0,set(X3,X0,X16,X14,X18),X17) = X18))), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',select_eq)). 25.81/3.69 tff(f689,plain,( 25.81/3.69 spl22_21), 25.81/3.69 inference(avatar_split_clause,[],[f445,f686])). 25.81/3.69 tff(f445,plain,( 25.81/3.69 sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK2,t2tb1(sK1)),t2tb(sK6))),0,sK2)), 25.81/3.69 inference(definition_unfolding,[],[f307,f297,f297])). 25.81/3.69 tff(f307,plain,( 25.81/3.69 sK4 = num_of1(tb2t3(tuple21(array(int),int,mk_array(int,sK0,t2tb1(sK1)),t2tb(sK6))),0,sK0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f684,plain,( 25.81/3.69 ~spl22_20), 25.81/3.69 inference(avatar_split_clause,[],[f679,f681])). 25.81/3.69 tff(f681,plain,( 25.81/3.69 spl22_20 <=> $less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_20])])). 25.81/3.69 tff(f679,plain,( 25.81/3.69 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9)), 25.81/3.69 inference(equality_resolution,[],[f673])). 25.81/3.69 tff(f673,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK9 != X0 | ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),X0)) )), 25.81/3.69 inference(equality_resolution,[],[f476])). 25.81/3.69 tff(f476,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))) != X1 | sK9 != X2 | ~$less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f317])). 25.81/3.69 tff(f317,plain,( 25.81/3.69 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),sK9)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f678,plain,( 25.81/3.69 ~spl22_19), 25.81/3.69 inference(avatar_split_clause,[],[f672,f675])). 25.81/3.69 tff(f675,plain,( 25.81/3.69 spl22_19 <=> $less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_19])])). 25.81/3.69 tff(f672,plain,( 25.81/3.69 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1)), 25.81/3.69 inference(equality_resolution,[],[f478])). 25.81/3.69 tff(f478,plain,( 25.81/3.69 ( ! [X1 : $int] : (tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))) != X1 | ~$less(X1,1)) )), 25.81/3.69 inference(theory_flattening,[],[f315])). 25.81/3.69 tff(f315,plain,( 25.81/3.69 ~$less(tb2t(get(int,int,t2tb1(sK3),t2tb(sK6))),1)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f668,plain,( 25.81/3.69 spl22_18 | ~spl22_17), 25.81/3.69 inference(avatar_split_clause,[],[f662,f658,f665])). 25.81/3.69 tff(f658,plain,( 25.81/3.69 spl22_17 <=> tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_17])])). 25.81/3.69 tff(f662,plain,( 25.81/3.69 set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6)) = t2tb1(sK10) | ~spl22_17), 25.81/3.69 inference(superposition,[],[f344,f660])). 25.81/3.69 tff(f660,plain,( 25.81/3.69 tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10 | ~spl22_17), 25.81/3.69 inference(avatar_component_clause,[],[f658])). 25.81/3.69 tff(f344,plain,( 25.81/3.69 ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )), 25.81/3.69 inference(cnf_transformation,[],[f124])). 25.81/3.69 tff(f124,plain,( 25.81/3.69 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 25.81/3.69 inference(rectify,[],[f3])). 25.81/3.69 tff(f3,axiom,( 25.81/3.69 ! [X5 : uni] : t2tb1(tb2t1(X5)) = X5), 25.81/3.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)). 25.81/3.69 tff(f661,plain,( 25.81/3.69 spl22_17), 25.81/3.69 inference(avatar_split_clause,[],[f328,f658])). 25.81/3.69 tff(f328,plain,( 25.81/3.69 tb2t1(set(int,int,t2tb1(sK8),t2tb(sK7),t2tb(sK6))) = sK10), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f656,plain,( 25.81/3.69 ~spl22_16), 25.81/3.69 inference(avatar_split_clause,[],[f651,f653])). 25.81/3.69 tff(f653,plain,( 25.81/3.69 spl22_16 <=> $less($sum(k,-1),sK6)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_16])])). 25.81/3.69 tff(f651,plain,( 25.81/3.69 ~$less($sum(k,-1),sK6)), 25.81/3.69 inference(equality_resolution,[],[f648])). 25.81/3.69 tff(f648,plain,( 25.81/3.69 ( ! [X0 : $int] : (k != X0 | ~$less($sum(X0,-1),sK6)) )), 25.81/3.69 inference(equality_resolution,[],[f553])). 25.81/3.69 tff(f553,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK6 != X2 | k != X1 | ~$less($sum(X1,-1),X2)) )), 25.81/3.69 inference(evaluation,[],[f485])). 25.81/3.69 tff(f485,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (k != X1 | sK6 != X2 | ~$less($sum(X1,$uminus(1)),X2)) )), 25.81/3.69 inference(theory_flattening,[],[f306])). 25.81/3.69 tff(f306,plain,( 25.81/3.69 ~$less($sum(k,$uminus(1)),sK6)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f647,plain,( 25.81/3.69 spl22_15), 25.81/3.69 inference(avatar_split_clause,[],[f642,f644])). 25.81/3.69 tff(f642,plain,( 25.81/3.69 $sum(sK7,1) = sK11), 25.81/3.69 inference(equality_resolution,[],[f636])). 25.81/3.69 tff(f636,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK7 != X0 | $sum(X0,1) = sK11) )), 25.81/3.69 inference(equality_resolution,[],[f466])). 25.81/3.69 tff(f466,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK11 != X2 | sK7 != X1 | $sum(X1,1) = X2) )), 25.81/3.69 inference(theory_flattening,[],[f329])). 25.81/3.69 tff(f329,plain,( 25.81/3.69 $sum(sK7,1) = sK11), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f641,plain,( 25.81/3.69 spl22_14), 25.81/3.69 inference(avatar_split_clause,[],[f635,f638])). 25.81/3.69 tff(f638,plain,( 25.81/3.69 spl22_14 <=> $less(sK6,k)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_14])])). 25.81/3.69 tff(f635,plain,( 25.81/3.69 $less(sK6,k)), 25.81/3.69 inference(equality_resolution,[],[f628])). 25.81/3.69 tff(f628,plain,( 25.81/3.69 ( ! [X0 : $int] : (k != X0 | $less(sK6,X0)) )), 25.81/3.69 inference(equality_resolution,[],[f480])). 25.81/3.69 tff(f480,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK6 != X1 | k != X2 | $less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f313])). 25.81/3.69 tff(f313,plain,( 25.81/3.69 $less(sK6,k)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f634,plain,( 25.81/3.69 spl22_13), 25.81/3.69 inference(avatar_split_clause,[],[f629,f631])). 25.81/3.69 tff(f629,plain,( 25.81/3.69 $less(sK7,sK2)), 25.81/3.69 inference(equality_resolution,[],[f627])). 25.81/3.69 tff(f627,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK2 != X0 | $less(sK7,X0)) )), 25.81/3.69 inference(equality_resolution,[],[f469])). 25.81/3.69 tff(f469,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK7 != X1 | sK2 != X2 | $less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f325])). 25.81/3.69 tff(f325,plain,( 25.81/3.69 $less(sK7,sK2)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f626,plain,( 25.81/3.69 spl22_12), 25.81/3.69 inference(avatar_split_clause,[],[f621,f623])). 25.81/3.69 tff(f621,plain,( 25.81/3.69 $less(sK12,sK11)), 25.81/3.69 inference(equality_resolution,[],[f620])). 25.81/3.69 tff(f620,plain,( 25.81/3.69 ( ! [X0 : $int] : (sK11 != X0 | $less(sK12,X0)) )), 25.81/3.69 inference(equality_resolution,[],[f465])). 25.81/3.69 tff(f465,plain,( 25.81/3.69 ( ! [X2 : $int,X1 : $int] : (sK12 != X1 | sK11 != X2 | $less(X1,X2)) )), 25.81/3.69 inference(theory_flattening,[],[f330])). 25.81/3.69 tff(f330,plain,( 25.81/3.69 $less(sK12,sK11)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f619,plain,( 25.81/3.69 ~spl22_11), 25.81/3.69 inference(avatar_split_clause,[],[f609,f616])). 25.81/3.69 tff(f616,plain,( 25.81/3.69 spl22_11 <=> $less($sum(sK2,-1),0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_11])])). 25.81/3.69 tff(f609,plain,( 25.81/3.69 ~$less($sum(sK2,-1),0)), 25.81/3.69 inference(equality_resolution,[],[f556])). 25.81/3.69 tff(f556,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK2 != X1 | ~$less($sum(X1,-1),0)) )), 25.81/3.69 inference(evaluation,[],[f489])). 25.81/3.69 tff(f489,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK2 != X1 | ~$less($sum(X1,$uminus(1)),0)) )), 25.81/3.69 inference(theory_flattening,[],[f447])). 25.81/3.69 tff(f447,plain,( 25.81/3.69 ~$less($sum(sK2,$uminus(1)),0)), 25.81/3.69 inference(definition_unfolding,[],[f302,f297])). 25.81/3.69 tff(f302,plain,( 25.81/3.69 ~$less($sum(sK0,$uminus(1)),0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f614,plain,( 25.81/3.69 ~spl22_10), 25.81/3.69 inference(avatar_split_clause,[],[f608,f611])). 25.81/3.69 tff(f611,plain,( 25.81/3.69 spl22_10 <=> $less($sum(k,-1),0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_10])])). 25.81/3.69 tff(f608,plain,( 25.81/3.69 ~$less($sum(k,-1),0)), 25.81/3.69 inference(equality_resolution,[],[f554])). 25.81/3.69 tff(f554,plain,( 25.81/3.69 ( ! [X1 : $int] : (k != X1 | ~$less($sum(X1,-1),0)) )), 25.81/3.69 inference(evaluation,[],[f487])). 25.81/3.69 tff(f487,plain,( 25.81/3.69 ( ! [X1 : $int] : (k != X1 | ~$less($sum(X1,$uminus(1)),0)) )), 25.81/3.69 inference(theory_flattening,[],[f304])). 25.81/3.69 tff(f304,plain,( 25.81/3.69 ~$less($sum(k,$uminus(1)),0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f607,plain,( 25.81/3.69 spl22_9), 25.81/3.69 inference(avatar_split_clause,[],[f449,f604])). 25.81/3.69 tff(f604,plain,( 25.81/3.69 spl22_9 <=> k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_9])])). 25.81/3.69 tff(f449,plain,( 25.81/3.69 k_values(tb2t2(mk_array(int,sK2,t2tb1(sK1))))), 25.81/3.69 inference(definition_unfolding,[],[f298,f297])). 25.81/3.69 tff(f298,plain,( 25.81/3.69 k_values(tb2t2(mk_array(int,sK0,t2tb1(sK1))))), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f602,plain,( 25.81/3.69 ~spl22_8), 25.81/3.69 inference(avatar_split_clause,[],[f597,f599])). 25.81/3.69 tff(f597,plain,( 25.81/3.69 ~$less(sK6,0)), 25.81/3.69 inference(equality_resolution,[],[f481])). 25.81/3.69 tff(f481,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK6 != X1 | ~$less(X1,0)) )), 25.81/3.69 inference(theory_flattening,[],[f312])). 25.81/3.69 tff(f312,plain,( 25.81/3.69 ~$less(sK6,0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f596,plain,( 25.81/3.69 ~spl22_7), 25.81/3.69 inference(avatar_split_clause,[],[f591,f593])). 25.81/3.69 tff(f593,plain,( 25.81/3.69 spl22_7 <=> $less(k,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_7])])). 25.81/3.69 tff(f591,plain,( 25.81/3.69 ~$less(k,0)), 25.81/3.69 inference(equality_resolution,[],[f479])). 25.81/3.69 tff(f479,plain,( 25.81/3.69 ( ! [X1 : $int] : (k != X1 | ~$less(X1,0)) )), 25.81/3.69 inference(theory_flattening,[],[f314])). 25.81/3.69 tff(f314,plain,( 25.81/3.69 ~$less(k,0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f590,plain,( 25.81/3.69 ~spl22_6), 25.81/3.69 inference(avatar_split_clause,[],[f585,f587])). 25.81/3.69 tff(f587,plain,( 25.81/3.69 spl22_6 <=> $less(sK9,1)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_6])])). 25.81/3.69 tff(f585,plain,( 25.81/3.69 ~$less(sK9,1)), 25.81/3.69 inference(equality_resolution,[],[f477])). 25.81/3.69 tff(f477,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK9 != X1 | ~$less(X1,1)) )), 25.81/3.69 inference(theory_flattening,[],[f316])). 25.81/3.69 tff(f316,plain,( 25.81/3.69 ~$less(sK9,1)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f584,plain,( 25.81/3.69 ~spl22_5), 25.81/3.69 inference(avatar_split_clause,[],[f579,f581])). 25.81/3.69 tff(f581,plain,( 25.81/3.69 spl22_5 <=> $less(sK7,0)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_5])])). 25.81/3.69 tff(f579,plain,( 25.81/3.69 ~$less(sK7,0)), 25.81/3.69 inference(equality_resolution,[],[f468])). 25.81/3.69 tff(f468,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK7 != X1 | ~$less(X1,0)) )), 25.81/3.69 inference(theory_flattening,[],[f326])). 25.81/3.69 tff(f326,plain,( 25.81/3.69 ~$less(sK7,0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f578,plain,( 25.81/3.69 ~spl22_4), 25.81/3.69 inference(avatar_split_clause,[],[f573,f575])). 25.81/3.69 tff(f573,plain,( 25.81/3.69 ~$less(sK2,0)), 25.81/3.69 inference(equality_resolution,[],[f467])). 25.81/3.69 tff(f467,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK2 != X1 | ~$less(X1,0)) )), 25.81/3.69 inference(theory_flattening,[],[f327])). 25.81/3.69 tff(f327,plain,( 25.81/3.69 ~$less(sK2,0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f572,plain,( 25.81/3.69 ~spl22_3), 25.81/3.69 inference(avatar_split_clause,[],[f567,f569])). 25.81/3.69 tff(f567,plain,( 25.81/3.69 ~$less(sK12,0)), 25.81/3.69 inference(equality_resolution,[],[f464])). 25.81/3.69 tff(f464,plain,( 25.81/3.69 ( ! [X1 : $int] : (sK12 != X1 | ~$less(X1,0)) )), 25.81/3.69 inference(theory_flattening,[],[f331])). 25.81/3.69 tff(f331,plain,( 25.81/3.69 ~$less(sK12,0)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f566,plain,( 25.81/3.69 spl22_2), 25.81/3.69 inference(avatar_split_clause,[],[f323,f563])). 25.81/3.69 tff(f563,plain,( 25.81/3.69 spl22_2 <=> sorted_sub(sK8,0,sK7)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_2])])). 25.81/3.69 tff(f323,plain,( 25.81/3.69 sorted_sub(sK8,0,sK7)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 tff(f561,plain,( 25.81/3.69 spl22_1), 25.81/3.69 inference(avatar_split_clause,[],[f311,f558])). 25.81/3.69 tff(f558,plain,( 25.81/3.69 spl22_1 <=> sorted_sub(sK5,0,sK4)), 25.81/3.69 introduced(avatar_definition,[new_symbols(naming,[spl22_1])])). 25.81/3.69 tff(f311,plain,( 25.81/3.69 sorted_sub(sK5,0,sK4)), 25.81/3.69 inference(cnf_transformation,[],[f273])). 25.81/3.69 % SZS output end Proof for theBenchmark 25.81/3.69 % (29280)------------------------------ 25.81/3.69 % (29280)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 25.81/3.69 % (29280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 25.81/3.69 % (29280)Termination reason: Refutation 25.81/3.69 25.81/3.69 % (29280)Memory used [KB]: 7931 25.81/3.69 % (29280)Time elapsed: 0.118 s 25.81/3.69 % (29280)------------------------------ 25.81/3.69 % (29280)------------------------------ 25.81/3.69 % (29178)Success in time 3.318 s 25.81/3.70 EOF