0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --mode casc -t %d %s 0.13/0.33 % Computer : n026.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % DateTime : Thu Jul 2 08:35:43 EDT 2020 0.13/0.33 % CPUTime : 0.18/0.40 % 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 3.24/3.40 % Time limit reached! 3.24/3.40 % ------------------------------ 3.24/3.40 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 3.24/3.40 % Termination reason: Time limit 3.24/3.40 % Termination phase: Saturation 3.24/3.40 3.24/3.40 % Memory used [KB]: 77141 3.24/3.40 % Time elapsed: 3.0000 s 3.24/3.40 % ------------------------------ 3.24/3.40 % ------------------------------ 3.30/3.47 % 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 6.36/6.47 % Time limit reached! 6.36/6.47 % ------------------------------ 6.36/6.47 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 6.36/6.47 % Termination reason: Time limit 6.36/6.47 % Termination phase: Saturation 6.36/6.47 6.36/6.47 % Memory used [KB]: 218248 6.36/6.47 % Time elapsed: 3.0000 s 6.36/6.47 % ------------------------------ 6.36/6.47 % ------------------------------ 6.43/6.51 % dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 9.94/10.01 % Time limit reached! 9.94/10.01 % ------------------------------ 9.94/10.01 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 9.94/10.01 % Termination reason: Time limit 9.94/10.01 % Termination phase: Saturation 9.94/10.01 9.94/10.01 % Memory used [KB]: 7675 9.94/10.01 % Time elapsed: 3.500 s 9.94/10.01 % ------------------------------ 9.94/10.01 % ------------------------------ 10.00/10.04 % 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 13.94/13.94 % Time limit reached! 13.94/13.94 % ------------------------------ 13.94/13.94 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 13.94/13.94 % Termination reason: Time limit 13.94/13.94 % Termination phase: Saturation 13.94/13.94 13.94/13.94 % Memory used [KB]: 42856 13.94/13.94 % Time elapsed: 3.900 s 13.94/13.94 % ------------------------------ 13.94/13.94 % ------------------------------ 13.99/14.01 % 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 21.85/21.70 % Time limit reached! 21.85/21.70 % ------------------------------ 21.85/21.70 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 21.85/21.70 % Termination reason: Time limit 21.85/21.70 % Termination phase: Saturation 21.85/21.70 21.85/21.70 % Memory used [KB]: 68314 21.85/21.70 % Time elapsed: 7.700 s 21.85/21.70 % ------------------------------ 21.85/21.70 % ------------------------------ 21.87/21.74 % 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 23.71/23.54 % Time limit reached! 23.71/23.54 % ------------------------------ 23.71/23.54 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 23.71/23.54 % Termination reason: Time limit 23.71/23.54 % Termination phase: Saturation 23.71/23.54 23.71/23.54 % Memory used [KB]: 22643 23.71/23.54 % Time elapsed: 1.800 s 23.71/23.54 % ------------------------------ 23.71/23.54 % ------------------------------ 23.74/23.57 % lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 24.36/24.17 % Time limit reached! 24.36/24.17 % ------------------------------ 24.36/24.17 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 24.36/24.17 % Termination reason: Time limit 24.36/24.17 % Termination phase: Saturation 24.36/24.17 24.36/24.17 % Memory used [KB]: 13304 24.36/24.17 % Time elapsed: 0.600 s 24.36/24.17 % ------------------------------ 24.36/24.17 % ------------------------------ 24.36/24.19 % 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 25.49/25.29 % Time limit reached! 25.49/25.29 % ------------------------------ 25.49/25.29 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 25.49/25.29 % Termination reason: Time limit 25.49/25.29 % Termination phase: Saturation 25.49/25.29 25.49/25.29 % Memory used [KB]: 23411 25.49/25.29 % Time elapsed: 1.100 s 25.49/25.29 % ------------------------------ 25.49/25.29 % ------------------------------ 25.52/25.32 % 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 27.21/27.02 % Time limit reached! 27.21/27.02 % ------------------------------ 27.21/27.02 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 27.21/27.02 % Termination reason: Time limit 27.21/27.02 % Termination phase: Saturation 27.21/27.02 27.21/27.02 % Memory used [KB]: 8827 27.21/27.02 % Time elapsed: 1.700 s 27.21/27.02 % ------------------------------ 27.21/27.02 % ------------------------------ 27.27/27.05 % lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark 46.87/46.46 % Time limit reached! 46.87/46.46 % ------------------------------ 46.87/46.46 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 46.87/46.46 % Termination reason: Time limit 46.87/46.46 % Termination phase: Saturation 46.87/46.46 46.87/46.46 % Memory used [KB]: 88911 46.87/46.46 % Time elapsed: 19.400 s 46.87/46.46 % ------------------------------ 46.87/46.46 % ------------------------------ 46.87/46.50 % 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 47.42/46.99 % Time limit reached! 47.42/46.99 % ------------------------------ 47.42/46.99 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 47.42/46.99 % Termination reason: Time limit 47.42/46.99 % Termination phase: Saturation 47.42/46.99 47.42/46.99 % Memory used [KB]: 7036 47.42/46.99 % Time elapsed: 0.500 s 47.42/46.99 % ------------------------------ 47.42/46.99 % ------------------------------ 47.46/47.03 % 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 49.09/48.63 % Time limit reached! 49.09/48.63 % ------------------------------ 49.09/48.63 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 49.09/48.63 % Termination reason: Time limit 49.09/48.63 % Termination phase: Saturation 49.09/48.63 49.09/48.63 % Memory used [KB]: 35052 49.09/48.63 % Time elapsed: 1.600 s 49.09/48.63 % ------------------------------ 49.09/48.63 % ------------------------------ 49.09/48.67 % 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 50.02/49.57 % Time limit reached! 50.02/49.57 % ------------------------------ 50.02/49.57 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 50.02/49.57 % Termination reason: Time limit 50.02/49.57 % Termination phase: Saturation 50.02/49.57 50.02/49.57 % Memory used [KB]: 25330 50.02/49.57 % Time elapsed: 0.900 s 50.02/49.57 % ------------------------------ 50.02/49.57 % ------------------------------ 50.02/49.60 % 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 51.07/50.60 % Time limit reached! 51.07/50.60 % ------------------------------ 51.07/50.60 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 51.07/50.60 % Termination reason: Time limit 51.07/50.60 % Termination phase: Saturation 51.07/50.60 51.07/50.60 % Memory used [KB]: 7547 51.07/50.60 % Time elapsed: 1.0000 s 51.07/50.60 % ------------------------------ 51.07/50.60 % ------------------------------ 51.07/50.64 % 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 52.45/51.94 % Time limit reached! 52.45/51.94 % ------------------------------ 52.45/51.94 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 52.45/51.94 % Termination reason: Time limit 52.45/51.94 % Termination phase: Saturation 52.45/51.94 52.45/51.94 % Memory used [KB]: 41449 52.45/51.94 % Time elapsed: 1.300 s 52.45/51.94 % ------------------------------ 52.45/51.94 % ------------------------------ 52.45/51.97 % 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 53.47/52.97 % Time limit reached! 53.47/52.97 % ------------------------------ 53.47/52.97 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 53.47/52.97 % Termination reason: Time limit 53.47/52.97 % Termination phase: Saturation 53.47/52.97 53.47/52.97 % Memory used [KB]: 9722 53.47/52.97 % Time elapsed: 1.0000 s 53.47/52.97 % ------------------------------ 53.47/52.97 % ------------------------------ 53.47/53.01 % 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 54.10/53.60 % Time limit reached! 54.10/53.60 % ------------------------------ 54.10/53.60 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 54.10/53.60 % Termination reason: Time limit 54.10/53.60 % Termination phase: Saturation 54.10/53.60 54.10/53.60 % Memory used [KB]: 11897 54.10/53.60 % Time elapsed: 0.600 s 54.10/53.60 % ------------------------------ 54.10/53.60 % ------------------------------ 54.17/53.64 % 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 54.17/53.83 % Refutation found. Thanks to Tanya! 54.17/53.83 % SZS status Theorem for theBenchmark 54.17/53.83 % SZS output start Proof for theBenchmark 54.17/53.83 tff(type_def_5, type, uni: $tType). 54.17/53.83 tff(type_def_6, type, ty: $tType). 54.17/53.83 tff(type_def_7, type, bool1: $tType). 54.17/53.83 tff(type_def_8, type, tuple02: $tType). 54.17/53.83 tff(type_def_9, type, set_int: $tType). 54.17/53.83 tff(type_def_10, type, map_int_int: $tType). 54.17/53.83 tff(type_def_11, type, map_int_lpmap_int_intrp: $tType). 54.17/53.83 tff(func_def_0, type, witness1: ty > uni). 54.17/53.83 tff(func_def_1, type, int: ty). 54.17/53.83 tff(func_def_2, type, real: ty). 54.17/53.83 tff(func_def_3, type, bool: ty). 54.17/53.83 tff(func_def_4, type, true1: bool1). 54.17/53.83 tff(func_def_5, type, false1: bool1). 54.17/53.83 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 54.17/53.83 tff(func_def_7, type, tuple0: ty). 54.17/53.83 tff(func_def_8, type, tuple03: tuple02). 54.17/53.83 tff(func_def_9, type, qtmark: ty). 54.17/53.83 tff(func_def_10, type, set: ty > ty). 54.17/53.83 tff(func_def_11, type, empty: ty > uni). 54.17/53.83 tff(func_def_12, type, add: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_13, type, remove: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_14, type, union: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_15, type, inter: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_16, type, diff: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_17, type, choose: (ty * uni) > uni). 54.17/53.83 tff(func_def_18, type, cardinal1: (ty * uni) > $int). 54.17/53.83 tff(func_def_19, type, min_elt1: set_int > $int). 54.17/53.83 tff(func_def_20, type, t2tb: set_int > uni). 54.17/53.83 tff(func_def_21, type, tb2t: uni > set_int). 54.17/53.83 tff(func_def_22, type, t2tb1: $int > uni). 54.17/53.83 tff(func_def_23, type, tb2t1: uni > $int). 54.17/53.83 tff(func_def_24, type, max_elt1: set_int > $int). 54.17/53.83 tff(func_def_25, type, below1: $int > set_int). 54.17/53.83 tff(func_def_26, type, succ1: set_int > set_int). 54.17/53.83 tff(func_def_27, type, pred1: set_int > set_int). 54.17/53.83 tff(func_def_28, type, ref: ty > ty). 54.17/53.83 tff(func_def_29, type, mk_ref: (ty * uni) > uni). 54.17/53.83 tff(func_def_30, type, contents: (ty * uni) > uni). 54.17/53.83 tff(func_def_31, type, map: (ty * ty) > ty). 54.17/53.83 tff(func_def_32, type, get: (ty * ty * uni * uni) > uni). 54.17/53.83 tff(func_def_33, type, set1: (ty * ty * uni * uni * uni) > uni). 54.17/53.83 tff(func_def_34, type, const: (ty * ty * uni) > uni). 54.17/53.83 tff(func_def_35, type, n1: $int). 54.17/53.83 tff(func_def_36, type, t2tb2: map_int_int > uni). 54.17/53.83 tff(func_def_37, type, tb2t2: uni > map_int_int). 54.17/53.83 tff(func_def_38, type, t2tb3: map_int_lpmap_int_intrp > uni). 54.17/53.83 tff(func_def_39, type, tb2t3: uni > map_int_lpmap_int_intrp). 54.17/53.83 tff(func_def_46, type, sK0: set_int). 54.17/53.83 tff(func_def_47, type, sK1: set_int). 54.17/53.83 tff(func_def_48, type, sK2: set_int). 54.17/53.83 tff(func_def_49, type, sK3: $int). 54.17/53.83 tff(func_def_50, type, sK4: map_int_lpmap_int_intrp). 54.17/53.83 tff(func_def_51, type, sK5: $int). 54.17/53.83 tff(func_def_52, type, sK6: map_int_int). 54.17/53.83 tff(func_def_53, type, sK7: $int). 54.17/53.83 tff(func_def_54, type, sK8: set_int). 54.17/53.83 tff(func_def_55, type, sK9: $int). 54.17/53.83 tff(func_def_56, type, sK10: map_int_lpmap_int_intrp). 54.17/53.83 tff(func_def_57, type, sK11: $int). 54.17/53.83 tff(func_def_58, type, sK12: map_int_int). 54.17/53.83 tff(func_def_59, type, sK13: map_int_int). 54.17/53.83 tff(func_def_60, type, sK14: $int). 54.17/53.83 tff(func_def_61, type, sK15: $int). 54.17/53.83 tff(func_def_62, type, sK16: $int). 54.17/53.83 tff(func_def_63, type, sK17: map_int_int > $int). 54.17/53.83 tff(func_def_64, type, sK18: $int > $int). 54.17/53.83 tff(func_def_65, type, sK19: $int > $int). 54.17/53.83 tff(func_def_66, type, sK20: $int > $int). 54.17/53.83 tff(func_def_67, type, sK21: (ty * uni) > uni). 54.17/53.83 tff(func_def_68, type, sK22: ($int * map_int_int) > $int). 54.17/53.83 tff(func_def_69, type, sK23: ($int * map_int_int) > $int). 54.17/53.83 tff(func_def_70, type, sK24: (map_int_int * map_int_int) > $int). 54.17/53.83 tff(func_def_71, type, sK25: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_72, type, sK26: (ty * uni * uni) > uni). 54.17/53.83 tff(func_def_73, type, sK27: (map_int_lpmap_int_intrp * $int * $int) > $int). 54.17/53.83 tff(func_def_74, type, sK28: (map_int_lpmap_int_intrp * $int * $int) > $int). 54.17/53.83 tff(func_def_75, type, sK29: (ty * uni * uni * $int) > $int). 54.17/53.83 tff(pred_def_1, type, sort1: (ty * uni) > $o). 54.17/53.83 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 54.17/53.83 tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o). 54.17/53.83 tff(pred_def_4, type, subset: (ty * uni * uni) > $o). 54.17/53.83 tff(pred_def_5, type, is_empty: (ty * uni) > $o). 54.17/53.83 tff(pred_def_6, type, eq_prefix1: (ty * uni * uni * $int) > $o). 54.17/53.83 tff(pred_def_7, type, partial_solution1: ($int * map_int_int) > $o). 54.17/53.83 tff(pred_def_8, type, lt_sol1: (map_int_int * map_int_int) > $o). 54.17/53.83 tff(pred_def_9, type, sorted1: (map_int_lpmap_int_intrp * $int * $int) > $o). 54.17/53.83 tff(f3365,plain,( 54.17/53.83 $false), 54.17/53.83 inference(avatar_sat_refutation,[],[f503,f510,f517,f525,f532,f539,f546,f554,f562,f571,f578,f591,f598,f605,f614,f631,f638,f645,f663,f689,f699,f708,f720,f733,f740,f747,f764,f771,f780,f790,f804,f811,f837,f852,f871,f882,f895,f903,f912,f931,f933,f936,f950,f951,f965,f993,f1021,f1029,f1060,f1073,f1080,f1093,f1119,f1133,f1136,f1137,f1145,f1159,f1167,f1168,f1169,f1178,f1185,f1199,f1209,f1217,f1224,f1235,f1242,f1250,f1257,f1261,f1271,f1301,f1310,f1400,f1450,f1568,f1586,f1618,f1653,f1660,f1689,f1693,f1718,f1731,f1735,f1856,f2070,f2074,f2129,f2193,f2202,f2268,f2306,f2308,f2378,f2444,f2487,f2589,f2632,f2780,f2797,f2799,f2891,f2954,f3014,f3031,f3081,f3110,f3114,f3118,f3129,f3136,f3145,f3146,f3150,f3157,f3190,f3193,f3201,f3246,f3253,f3261,f3281,f3282,f3336,f3343,f3352,f3359,f3364])). 54.17/53.83 tff(f3364,plain,( 54.17/53.83 ~spl30_91 | ~spl30_284), 54.17/53.83 inference(avatar_split_clause,[],[f3360,f3341,f917])). 54.17/53.83 tff(f917,plain,( 54.17/53.83 spl30_91 <=> ~sort1(int,t2tb1(sK15))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_91])])). 54.17/53.83 tff(f3341,plain,( 54.17/53.83 spl30_284 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0)))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_284])])). 54.17/53.83 tff(f3360,plain,( 54.17/53.83 ~sort1(int,t2tb1(sK15)) | ~spl30_284), 54.17/53.83 inference(resolution,[],[f3342,f495])). 54.17/53.83 tff(f495,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X3:uni] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2)) )), 54.17/53.83 inference(duplicate_literal_removal,[],[f435])). 54.17/53.83 tff(f435,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X3:uni] : (~mem(X0,X2,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X2)) )), 54.17/53.83 inference(equality_resolution,[],[f415])). 54.17/53.83 tff(f415,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (X1 != X2 | ~mem(X0,X1,remove(X0,X2,X3)) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 54.17/53.83 inference(cnf_transformation,[],[f259])). 54.17/53.83 tff(f259,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | X1 = X2 | ~mem(X0,X1,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 54.17/53.83 inference(flattening,[],[f258])). 54.17/53.83 tff(f258,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) | ~mem(X0,X1,remove(X0,X2,X3))) & (mem(X0,X1,remove(X0,X2,X3)) | (X1 = X2 | ~mem(X0,X1,X3)))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 54.17/53.83 inference(nnf_transformation,[],[f205])). 54.17/53.83 tff(f205,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2) | ~sort1(X0,X1))), 54.17/53.83 inference(flattening,[],[f204])). 54.17/53.83 tff(f204,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3))) | ~sort1(X0,X2)) | ~sort1(X0,X1))), 54.17/53.83 inference(ennf_transformation,[],[f157])). 54.17/53.83 tff(f157,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (sort1(X0,X1) => (sort1(X0,X2) => ((X1 != X2 & mem(X0,X1,X3)) <=> mem(X0,X1,remove(X0,X2,X3)))))), 54.17/53.83 inference(rectify,[],[f67])). 54.17/53.83 tff(f67,axiom,( 54.17/53.83 ! [X2 : ty,X1 : uni,X7 : uni,X0 : uni] : (sort1(X2,X1) => (sort1(X2,X7) => ((X1 != X7 & mem(X2,X1,X0)) <=> mem(X2,X1,remove(X2,X7,X0)))))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',remove_def1)). 54.17/53.83 tff(f3342,plain,( 54.17/53.83 mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0))) | ~spl30_284), 54.17/53.83 inference(avatar_component_clause,[],[f3341])). 54.17/53.83 tff(f3359,plain,( 54.17/53.83 ~spl30_289 | ~spl30_220 | spl30_237), 54.17/53.83 inference(avatar_split_clause,[],[f3232,f2766,f2364,f3357])). 54.17/53.83 tff(f3357,plain,( 54.17/53.83 spl30_289 <=> ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK5)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_289])])). 54.17/53.83 tff(f2364,plain,( 54.17/53.83 spl30_220 <=> t2tb1(sK5) = t2tb1(sK16)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_220])])). 54.17/53.83 tff(f2766,plain,( 54.17/53.83 spl30_237 <=> ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_237])])). 54.17/53.83 tff(f3232,plain,( 54.17/53.83 ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK5) | (~spl30_220 | ~spl30_237)), 54.17/53.83 inference(backward_demodulation,[],[f2434,f2767])). 54.17/53.83 tff(f2767,plain,( 54.17/53.83 ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | ~spl30_237), 54.17/53.83 inference(avatar_component_clause,[],[f2766])). 54.17/53.83 tff(f2434,plain,( 54.17/53.83 sK5 = sK16 | ~spl30_220), 54.17/53.83 inference(forward_demodulation,[],[f2395,f320])). 54.17/53.83 tff(f320,plain,( 54.17/53.83 ( ! [X0:$int] : (tb2t1(t2tb1(X0)) = X0) )), 54.17/53.83 inference(cnf_transformation,[],[f102])). 54.17/53.83 tff(f102,plain,( 54.17/53.83 ! [X0 : $int] : tb2t1(t2tb1(X0)) = X0), 54.17/53.83 inference(rectify,[],[f51])). 54.17/53.83 tff(f51,axiom,( 54.17/53.83 ! [X6 : $int] : tb2t1(t2tb1(X6)) = X6), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL1)). 54.17/53.83 tff(f2395,plain,( 54.17/53.83 tb2t1(t2tb1(sK5)) = sK16 | ~spl30_220), 54.17/53.83 inference(superposition,[],[f320,f2365])). 54.17/53.83 tff(f2365,plain,( 54.17/53.83 t2tb1(sK5) = t2tb1(sK16) | ~spl30_220), 54.17/53.83 inference(avatar_component_clause,[],[f2364])). 54.17/53.83 tff(f3352,plain,( 54.17/53.83 ~spl30_287 | spl30_181 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f3226,f2364,f1684,f3350])). 54.17/53.83 tff(f3350,plain,( 54.17/53.83 spl30_287 <=> ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK5)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_287])])). 54.17/53.83 tff(f1684,plain,( 54.17/53.83 spl30_181 <=> ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_181])])). 54.17/53.83 tff(f3226,plain,( 54.17/53.83 ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK5) | (~spl30_181 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2434,f1685])). 54.17/53.83 tff(f1685,plain,( 54.17/53.83 ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16) | ~spl30_181), 54.17/53.83 inference(avatar_component_clause,[],[f1684])). 54.17/53.83 tff(f3343,plain,( 54.17/53.83 spl30_284 | ~spl30_36 | ~spl30_38 | ~spl30_100 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f3265,f2364,f991,f687,f661,f3341])). 54.17/53.83 tff(f661,plain,( 54.17/53.83 spl30_36 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_36])])). 54.17/53.83 tff(f687,plain,( 54.17/53.83 spl30_38 <=> mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_38])])). 54.17/53.83 tff(f991,plain,( 54.17/53.83 spl30_100 <=> t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_100])])). 54.17/53.83 tff(f3265,plain,( 54.17/53.83 mem(int,t2tb1(sK15),remove(int,t2tb1(sK15),t2tb(sK0))) | (~spl30_36 | ~spl30_38 | ~spl30_100 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2437,f688])). 54.17/53.83 tff(f688,plain,( 54.17/53.83 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_38), 54.17/53.83 inference(avatar_component_clause,[],[f687])). 54.17/53.83 tff(f2437,plain,( 54.17/53.83 t2tb1(sK15) = t2tb1(min_elt1(sK8)) | (~spl30_36 | ~spl30_100 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2379,f992])). 54.17/53.83 tff(f992,plain,( 54.17/53.83 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~spl30_100), 54.17/53.83 inference(avatar_component_clause,[],[f991])). 54.17/53.83 tff(f2379,plain,( 54.17/53.83 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | (~spl30_36 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2365,f662])). 54.17/53.83 tff(f662,plain,( 54.17/53.83 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_36), 54.17/53.83 inference(avatar_component_clause,[],[f661])). 54.17/53.83 tff(f3336,plain,( 54.17/53.83 spl30_282 | ~spl30_280), 54.17/53.83 inference(avatar_split_clause,[],[f3325,f3279,f3334])). 54.17/53.83 tff(f3334,plain,( 54.17/53.83 spl30_282 <=> min_elt1(sK8) = sK15), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_282])])). 54.17/53.83 tff(f3279,plain,( 54.17/53.83 spl30_280 <=> t2tb1(sK15) = t2tb1(min_elt1(sK8))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_280])])). 54.17/53.83 tff(f3325,plain,( 54.17/53.83 min_elt1(sK8) = sK15 | ~spl30_280), 54.17/53.83 inference(forward_demodulation,[],[f3287,f320])). 54.17/53.83 tff(f3287,plain,( 54.17/53.83 min_elt1(sK8) = tb2t1(t2tb1(sK15)) | ~spl30_280), 54.17/53.83 inference(superposition,[],[f320,f3280])). 54.17/53.83 tff(f3280,plain,( 54.17/53.83 t2tb1(sK15) = t2tb1(min_elt1(sK8)) | ~spl30_280), 54.17/53.83 inference(avatar_component_clause,[],[f3279])). 54.17/53.83 tff(f3282,plain,( 54.17/53.83 spl30_280 | ~spl30_36 | ~spl30_100 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f3200,f2364,f991,f661,f3279])). 54.17/53.83 tff(f3200,plain,( 54.17/53.83 t2tb1(sK15) = t2tb1(min_elt1(sK8)) | (~spl30_36 | ~spl30_100 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2379,f992])). 54.17/53.83 tff(f3281,plain,( 54.17/53.83 spl30_280 | ~spl30_36 | ~spl30_100 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f2437,f2364,f991,f661,f3279])). 54.17/53.83 tff(f3261,plain,( 54.17/53.83 ~spl30_279 | spl30_215 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f3229,f2364,f2266,f3259])). 54.17/53.83 tff(f3259,plain,( 54.17/53.83 spl30_279 <=> ~$less(sK5,sK5)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_279])])). 54.17/53.83 tff(f2266,plain,( 54.17/53.83 spl30_215 <=> ~$less(sK16,sK5)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_215])])). 54.17/53.83 tff(f3229,plain,( 54.17/53.83 ~$less(sK5,sK5) | (~spl30_215 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2434,f2267])). 54.17/53.83 tff(f2267,plain,( 54.17/53.83 ~$less(sK16,sK5) | ~spl30_215), 54.17/53.83 inference(avatar_component_clause,[],[f2266])). 54.17/53.83 tff(f3253,plain,( 54.17/53.83 spl30_276 | ~spl30_28 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f3206,f2364,f612,f3251])). 54.17/53.83 tff(f3251,plain,( 54.17/53.83 spl30_276 <=> $less(sK5,sK14)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_276])])). 54.17/53.83 tff(f612,plain,( 54.17/53.83 spl30_28 <=> $less(sK16,sK14)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_28])])). 54.17/53.83 tff(f3206,plain,( 54.17/53.83 $less(sK5,sK14) | (~spl30_28 | ~spl30_220)), 54.17/53.83 inference(backward_demodulation,[],[f2434,f613])). 54.17/53.83 tff(f613,plain,( 54.17/53.83 $less(sK16,sK14) | ~spl30_28), 54.17/53.83 inference(avatar_component_clause,[],[f612])). 54.17/53.83 tff(f3246,plain,( 54.17/53.83 spl30_274 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f2434,f2364,f3244])). 54.17/53.83 tff(f3244,plain,( 54.17/53.83 spl30_274 <=> sK5 = sK16), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_274])])). 54.17/53.83 tff(f3201,plain,( 54.17/53.83 spl30_226 | ~spl30_36 | ~spl30_220), 54.17/53.83 inference(avatar_split_clause,[],[f2379,f2364,f661,f2442])). 54.17/53.83 tff(f2442,plain,( 54.17/53.83 spl30_226 <=> t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK5))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_226])])). 54.17/53.83 tff(f3193,plain,( 54.17/53.83 ~spl30_215 | ~spl30_20 | ~spl30_272), 54.17/53.83 inference(avatar_split_clause,[],[f3192,f3188,f576,f2266])). 54.17/53.83 tff(f576,plain,( 54.17/53.83 spl30_20 <=> eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_20])])). 54.17/53.83 tff(f3188,plain,( 54.17/53.83 spl30_272 <=> ! [X3 : $int] : (~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_272])])). 54.17/53.83 tff(f3192,plain,( 54.17/53.83 ~$less(sK16,sK5) | (~spl30_20 | ~spl30_272)), 54.17/53.83 inference(resolution,[],[f3189,f577])). 54.17/53.83 tff(f577,plain,( 54.17/53.83 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | ~spl30_20), 54.17/53.83 inference(avatar_component_clause,[],[f576])). 54.17/53.83 tff(f3189,plain,( 54.17/53.83 ( ! [X3:$int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3) | ~$less(sK16,X3)) ) | ~spl30_272), 54.17/53.83 inference(avatar_component_clause,[],[f3188])). 54.17/53.83 tff(f3190,plain,( 54.17/53.83 spl30_272 | ~spl30_215 | spl30_14 | ~spl30_95 | ~spl30_224), 54.17/53.83 inference(avatar_split_clause,[],[f3035,f2376,f926,f549,f2266,f3188])). 54.17/53.83 tff(f549,plain,( 54.17/53.83 spl30_14 <=> $less(sK16,0)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_14])])). 54.17/53.83 tff(f926,plain,( 54.17/53.83 spl30_95 <=> ~mem(int,t2tb1(sK15),t2tb(sK0))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_95])])). 54.17/53.83 tff(f2376,plain,( 54.17/53.83 spl30_224 <=> t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_224])])). 54.17/53.83 tff(f3035,plain,( 54.17/53.83 ( ! [X3:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~$less(sK16,X3) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),X3)) ) | ~spl30_224), 54.17/53.83 inference(superposition,[],[f1036,f2377])). 54.17/53.83 tff(f2377,plain,( 54.17/53.83 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | ~spl30_224), 54.17/53.83 inference(avatar_component_clause,[],[f2376])). 54.17/53.83 tff(f1036,plain,( 54.17/53.83 ( ! [X4:uni,X5:$int,X3:$int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | ~eq_prefix1(int,t2tb2(sK6),X4,X5)) )), 54.17/53.83 inference(duplicate_literal_removal,[],[f1035])). 54.17/53.83 tff(f1035,plain,( 54.17/53.83 ( ! [X4:uni,X5:$int,X3:$int] : (~mem(int,get(int,int,X4,t2tb1(X3)),t2tb(sK0)) | $less(X3,0) | ~$less(X3,sK5) | ~$less(X3,X5) | $less(X3,0) | ~eq_prefix1(int,t2tb2(sK6),X4,X5)) )), 54.17/53.83 inference(superposition,[],[f888,f429])). 54.17/53.83 tff(f429,plain,( 54.17/53.83 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0) | ~eq_prefix1(X0,X1,X2,X3)) )), 54.17/53.83 inference(cnf_transformation,[],[f269])). 54.17/53.83 tff(f269,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | (get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0))))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f267,f268])). 54.17/53.83 tff(f268,plain,( 54.17/53.83 ! [X3 : $int,X2 : uni,X1 : uni,X0 : ty] : (? [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) != get(X0,int,X2,t2tb1(X5)) & $less(X5,X3) & ~$less(X5,0)) => (get(X0,int,X1,t2tb1(sK29(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK29(X0,X1,X2,X3))) & $less(sK29(X0,X1,X2,X3),X3) & ~$less(sK29(X0,X1,X2,X3),0)))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f267,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) != get(X0,int,X2,t2tb1(X5)) & $less(X5,X3) & ~$less(X5,0))))), 54.17/53.83 inference(rectify,[],[f266])). 54.17/53.83 tff(f266,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & $less(X4,X3) & ~$less(X4,0))))), 54.17/53.83 inference(nnf_transformation,[],[f209])). 54.17/53.83 tff(f209,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ~$less(X4,X3) | $less(X4,0)) <=> eq_prefix1(X0,X1,X2,X3))), 54.17/53.83 inference(flattening,[],[f208])). 54.17/53.83 tff(f208,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | (~$less(X4,X3) | $less(X4,0))) <=> eq_prefix1(X0,X1,X2,X3))), 54.17/53.83 inference(ennf_transformation,[],[f162])). 54.17/53.83 tff(f162,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,0)) => get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4))) <=> eq_prefix1(X0,X1,X2,X3))), 54.17/53.83 inference(rectify,[],[f92])). 54.17/53.83 tff(f92,plain,( 54.17/53.83 ! [X2 : ty,X14 : uni,X12 : uni,X6 : $int] : (! [X15 : $int] : (($less(X15,X6) & ~$less(X15,0)) => get(X2,int,X12,t2tb1(X15)) = get(X2,int,X14,t2tb1(X15))) <=> eq_prefix1(X2,X14,X12,X6))), 54.17/53.83 inference(evaluation,[],[f41])). 54.17/53.83 tff(f41,axiom,( 54.17/53.83 ! [X2 : ty,X14 : uni,X12 : uni,X6 : $int] : (! [X15 : $int] : (($less(X15,X6) & $lesseq(0,X15)) => get(X2,int,X12,t2tb1(X15)) = get(X2,int,X14,t2tb1(X15))) <=> eq_prefix1(X2,X14,X12,X6))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq_prefix_def)). 54.17/53.83 tff(f888,plain,( 54.17/53.83 ( ! [X0:$int] : (~mem(int,get(int,int,t2tb2(sK6),t2tb1(X0)),t2tb(sK0)) | $less(X0,0) | ~$less(X0,sK5)) )), 54.17/53.83 inference(equality_resolution,[],[f496])). 54.17/53.83 tff(f496,plain,( 54.17/53.83 ( ! [X30:$int,X31:$int] : (sK5 != X31 | $less(X30,0) | ~mem(int,get(int,int,t2tb2(sK6),t2tb1(X30)),t2tb(sK0)) | ~$less(X30,X31)) )), 54.17/53.83 inference(forward_demodulation,[],[f460,f322])). 54.17/53.83 tff(f322,plain,( 54.17/53.83 ( ! [X0:uni] : (t2tb1(tb2t1(X0)) = X0) )), 54.17/53.83 inference(cnf_transformation,[],[f104])). 54.17/53.83 tff(f104,plain,( 54.17/53.83 ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0), 54.17/53.83 inference(rectify,[],[f47])). 54.17/53.83 tff(f47,axiom,( 54.17/53.83 ! [X16 : uni] : t2tb1(tb2t1(X16)) = X16), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR1)). 54.17/53.83 tff(f460,plain,( 54.17/53.83 ( ! [X30:$int,X31:$int] : ($less(X30,0) | sK5 != X31 | ~$less(X30,X31) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30)))),t2tb(sK0))) )), 54.17/53.83 inference(theory_flattening,[],[f433])). 54.17/53.83 tff(f433,plain,( 54.17/53.83 ( ! [X30:$int] : ($less(X30,0) | ~$less(X30,sK5) | ~mem(int,t2tb1(tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30)))),t2tb(sK0))) )), 54.17/53.83 inference(equality_resolution,[],[f273])). 54.17/53.83 tff(f273,plain,( 54.17/53.83 ( ! [X30:$int,X28:$int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 54.17/53.83 inference(cnf_transformation,[],[f227])). 54.17/53.83 tff(f227,plain,( 54.17/53.83 (((((tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) = sK15 & ~$less(sK16,0) & $less(sK16,sK14)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))) & $sum(sK11,1) = sK14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13) & ~is_empty(int,t2tb(sK8)) & partial_solution1(sK11,sK12) & ! [X17 : map_int_int] : (((~$less(sK17(X17),sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) & $less(sK17(X17),sK9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) & eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X19)),n1) | ~$less(X19,sK9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(sK8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8)))) & sorted1(sK10,sK3,sK9) & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = sK11 & ~$less($sum(sK9,$uminus(sK3)),0) & $sum(sK9,$uminus(sK3)) = sK7) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(sK1)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK18(X22)))) = $sum($sum(X22,sK18(X22)),$uminus(sK5)) & ~$less(sK18(X22),0) & $less(sK18(X22),sK5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(sK5)) | $less(X24,0) | ~$less(X24,sK5)) | mem(int,t2tb1(X22),t2tb(sK1)))) | $less(X22,0)) & partial_solution1(sK5,sK6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,sK5),$uminus(X26)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK2))) & (~mem(int,t2tb1(X25),t2tb(sK2)) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK19(X25)))) = $sum($sum(X25,sK5),$uminus(sK19(X25))) & ~$less(sK19(X25),0) & $less(sK19(X25),sK5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | (tb2t1(get(int,int,t2tb2(sK6),t2tb1(sK20(X28)))) = X28 & ~$less(sK20(X28),0) & $less(sK20(X28),sK5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(sK0)))) & ~$less(sK3,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20])],[f216,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217])). 54.17/53.83 tff(f217,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & sorted1(X10,X3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X11 & ~$less($sum(X9,$uminus(X3)),0) & $sum(X9,$uminus(X3)) = X7) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(X1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(X5)) & ~$less(X23,0) & $less(X23,X5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(X5)) | $less(X24,0) | ~$less(X24,X5)) | mem(int,t2tb1(X22),t2tb(X1)))) | $less(X22,0)) & partial_solution1(X5,X6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X5),$uminus(X26)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X2))) & (~mem(int,t2tb1(X25),t2tb(X2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X5),$uminus(X27)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(X0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,X5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,X5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))) => (? [X12 : map_int_int,X11 : $int,X10 : map_int_lpmap_int_intrp,X9 : $int,X8 : set_int,X7 : $int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(sK0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,sK3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,sK3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(sK6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(X10),sK3) & ! [X21 : $int,X20 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(X8)))) & sorted1(X10,sK3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) & sK5 = X11 & ~$less($sum(X9,$uminus(sK3)),0) & $sum(X9,$uminus(sK3)) = X7) & ~is_empty(int,t2tb(sK0)) & ~$less(sK5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(sK1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(sK5)) & ~$less(X23,0) & $less(X23,sK5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(sK5)) | $less(X24,0) | ~$less(X24,sK5)) | mem(int,t2tb1(X22),t2tb(sK1)))) | $less(X22,0)) & partial_solution1(sK5,sK6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,sK5),$uminus(X26)) | $less(X26,0) | ~$less(X26,sK5)) | mem(int,t2tb1(X25),t2tb(sK2))) & (~mem(int,t2tb1(X25),t2tb(sK2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X27))) = $sum($sum(X25,sK5),$uminus(X27)) & ~$less(X27,0) & $less(X27,sK5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,sK5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,sK5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(sK0)))) & ~$less(sK3,0) & n1 = $sum(sK5,cardinal1(int,t2tb(sK0))))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f218,plain,( 54.17/53.83 ( ! [X6:map_int_int,X4:map_int_lpmap_int_intrp,X2:set_int,X0:set_int,X5:$int,X3:$int,X1:set_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & sorted1(X10,X3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X11 & ~$less($sum(X9,$uminus(X3)),0) & $sum(X9,$uminus(X3)) = X7) => (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(sK8)),t2tb(X0)))) & $sum(sK11,1) = X14) & tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = X13) & ~is_empty(int,t2tb(sK8)) & partial_solution1(sK11,sK12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X18)),n1) & $less(X18,sK9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(sK8))) & eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(X19)),n1) | ~$less(X19,sK9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(sK12),sK11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(sK10),X3) & ! [X21 : $int,X20 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(sK8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(sK8)))) & sorted1(sK10,X3,sK9) & subset(int,t2tb(sK8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & sK11 = X5 & ~$less($sum(sK9,$uminus(X3)),0) & $sum(sK9,$uminus(X3)) = sK7)) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f219,plain,( 54.17/53.83 ( ! [X0:set_int,X12:map_int_int,X8:set_int,X11:$int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) => (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = sK13)) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f220,plain,( 54.17/53.83 ( ! [X0:set_int,X8:set_int,X13:map_int_int,X11:$int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) => (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,sK14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = sK14)) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f221,plain,( 54.17/53.83 ( ! [X0:set_int,X14:$int,X8:set_int,X13:map_int_int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) => (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = sK15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0))))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f222,plain,( 54.17/53.83 ( ! [X14:$int,X15:$int,X13:map_int_int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) => (tb2t1(get(int,int,t2tb2(X13),t2tb1(sK16))) = X15 & ~$less(sK16,0) & $less(sK16,X14))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f223,plain,( 54.17/53.83 ( ! [X10:map_int_lpmap_int_intrp,X3:$int,X9:$int] : (! [X17 : map_int_int] : (? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) => (~$less(sK17(X17),X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(sK17(X17))),n1) & $less(sK17(X17),X9)))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f224,plain,( 54.17/53.83 ( ! [X6:map_int_int,X5:$int] : (! [X22 : $int] : (? [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(X5)) & ~$less(X23,0) & $less(X23,X5)) => (tb2t1(get(int,int,t2tb2(X6),t2tb1(sK18(X22)))) = $sum($sum(X22,sK18(X22)),$uminus(X5)) & ~$less(sK18(X22),0) & $less(sK18(X22),X5)))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f225,plain,( 54.17/53.83 ( ! [X6:map_int_int,X5:$int] : (! [X25 : $int] : (? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X5),$uminus(X27)) & ~$less(X27,0) & $less(X27,X5)) => (tb2t1(get(int,int,t2tb2(X6),t2tb1(sK19(X25)))) = $sum($sum(X25,X5),$uminus(sK19(X25))) & ~$less(sK19(X25),0) & $less(sK19(X25),X5)))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f226,plain,( 54.17/53.83 ( ! [X6:map_int_int,X5:$int] : (! [X28 : $int] : (? [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,X5)) => (tb2t1(get(int,int,t2tb2(X6),t2tb1(sK20(X28)))) = X28 & ~$less(sK20(X28),0) & $less(sK20(X28),X5)))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f216,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X7 : $int,X8 : set_int,X9 : $int,X10 : map_int_lpmap_int_intrp,X11 : $int,X12 : map_int_int] : (? [X13 : map_int_int] : (? [X14 : $int] : (? [X15 : $int] : (? [X16 : $int] : (tb2t1(get(int,int,t2tb2(X13),t2tb1(X16))) = X15 & ~$less(X16,0) & $less(X16,X14)) & mem(int,t2tb1(X15),remove(int,t2tb1(min_elt1(X8)),t2tb(X0)))) & $sum(X11,1) = X14) & tb2t2(set1(int,int,t2tb2(X12),t2tb1(X11),t2tb1(min_elt1(X8)))) = X13) & ~is_empty(int,t2tb(X8)) & partial_solution1(X11,X12) & ! [X17 : map_int_int] : ((? [X18 : $int] : (~$less(X18,X3) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X18)),n1) & $less(X18,X9)) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) | ~eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) | ~partial_solution1(n1,X17)) & ((mem(int,get(int,int,t2tb2(X17),t2tb1(X11)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8))) & eq_prefix1(int,t2tb2(X12),t2tb2(X17),X11) & partial_solution1(n1,X17)) | ! [X19 : $int] : ($less(X19,X3) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X10),t2tb1(X19)),n1) | ~$less(X19,X9)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X12),X11) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X10),X3) & ! [X20 : $int,X21 : $int] : ($less(X20,X21) | ~mem(int,t2tb1(X21),t2tb(X8)) | ~mem(int,t2tb1(X20),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X8)))) & sorted1(X10,X3,X9) & subset(int,t2tb(X8),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X11 & ~$less($sum(X9,$uminus(X3)),0) & $sum(X9,$uminus(X3)) = X7) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X22 : $int] : (((~mem(int,t2tb1(X22),t2tb(X1)) | ? [X23 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X23))) = $sum($sum(X22,X23),$uminus(X5)) & ~$less(X23,0) & $less(X23,X5))) & (! [X24 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X24))) != $sum($sum(X22,X24),$uminus(X5)) | $less(X24,0) | ~$less(X24,X5)) | mem(int,t2tb1(X22),t2tb(X1)))) | $less(X22,0)) & partial_solution1(X5,X6) & ! [X25 : $int] : (((! [X26 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X26))) != $sum($sum(X25,X5),$uminus(X26)) | $less(X26,0) | ~$less(X26,X5)) | mem(int,t2tb1(X25),t2tb(X2))) & (~mem(int,t2tb1(X25),t2tb(X2)) | ? [X27 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X27))) = $sum($sum(X25,X5),$uminus(X27)) & ~$less(X27,0) & $less(X27,X5)))) | $less(X25,0)) & ! [X28 : $int] : ((mem(int,t2tb1(X28),t2tb(X0)) | ~$less(X28,n1) | ? [X29 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X29))) = X28 & ~$less(X29,0) & $less(X29,X5)) | $less(X28,0)) & (($less(X28,n1) & ! [X30 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X30))) != X28 | $less(X30,0) | ~$less(X30,X5)) & ~$less(X28,0)) | ~mem(int,t2tb1(X28),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 54.17/53.83 inference(rectify,[],[f215])). 54.17/53.83 tff(f215,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : ((? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) | ~mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) | ~partial_solution1(n1,X19)) & ((mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19)) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) | ~$less(X20,X15)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),t2tb(X1)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X5)) & ~$less(X8,0) & $less(X8,X5))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5)) | mem(int,t2tb1(X7),t2tb(X1)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X2))) & (~mem(int,t2tb1(X9),t2tb(X2)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X5),$uminus(X10)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & ! [X11 : $int] : ((mem(int,t2tb1(X11),t2tb(X0)) | ~$less(X11,n1) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = X11 & ~$less(X12,0) & $less(X12,X5)) | $less(X11,0)) & (($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0)) | ~mem(int,t2tb1(X11),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 54.17/53.83 inference(flattening,[],[f214])). 54.17/53.83 tff(f214,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : ((? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) | (~mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) | ~eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) | ~partial_solution1(n1,X19))) & ((mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19)) | ! [X20 : $int] : ($less(X20,X3) | ~eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) | ~$less(X20,X15)))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),t2tb(X1)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X5)) & ~$less(X8,0) & $less(X8,X5))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5)) | mem(int,t2tb1(X7),t2tb(X1)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : (((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) | mem(int,t2tb1(X9),t2tb(X2))) & (~mem(int,t2tb1(X9),t2tb(X2)) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) = $sum($sum(X9,X5),$uminus(X10)) & ~$less(X10,0) & $less(X10,X5)))) | $less(X9,0)) & ! [X11 : $int] : ((mem(int,t2tb1(X11),t2tb(X0)) | (~$less(X11,n1) | ? [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) = X11 & ~$less(X12,0) & $less(X12,X5)) | $less(X11,0))) & (($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0)) | ~mem(int,t2tb1(X11),t2tb(X0)))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 54.17/53.83 inference(nnf_transformation,[],[f167])). 54.17/53.83 tff(f167,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : (? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : (? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & ~$less(X26,0) & $less(X26,X24)) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14)) & partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : ($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14)) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) & ~is_empty(int,t2tb(X0)) & ~$less(X5,0) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | $less(X8,0) | ~$less(X8,X5))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | $less(X10,0) | ~$less(X10,X5)) <=> ~mem(int,t2tb1(X9),t2tb(X2))) | $less(X9,0)) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | $less(X12,0) | ~$less(X12,X5)) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0))))), 54.17/53.83 inference(flattening,[],[f166])). 54.17/53.83 tff(f166,plain,( 54.17/53.83 ? [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((? [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : ((? [X23 : map_int_int] : (? [X24 : $int] : (? [X25 : $int] : (? [X26 : $int] : (tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) = X25 & (~$less(X26,0) & $less(X26,X24))) & mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0)))) & $sum(X17,1) = X24) & tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23) & ~is_empty(int,t2tb(X14))) & (partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : (($less(X21,X22) | ~mem(int,t2tb1(X22),t2tb(X14))) | ~mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14)))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13)) & ~is_empty(int,t2tb(X0))) & (~$less(X5,0) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5)) | ($less(X8,0) | ~$less(X8,X5)))) | $less(X7,0)) & partial_solution1(X5,X6) & ! [X9 : $int] : ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10)) | ($less(X10,0) | ~$less(X10,X5))) <=> ~mem(int,t2tb1(X9),t2tb(X2))) | $less(X9,0)) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : (tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11 | ($less(X12,0) | ~$less(X12,X5))) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))))), 54.17/53.83 inference(ennf_transformation,[],[f93])). 54.17/53.83 tff(f93,plain,( 54.17/53.83 ~! [X0 : set_int,X1 : set_int,X2 : set_int,X3 : $int,X4 : map_int_lpmap_int_intrp,X5 : $int,X6 : map_int_int] : ((~$less(X5,0) & ! [X7 : $int] : (~$less(X7,0) => (~mem(int,t2tb1(X7),t2tb(X1)) <=> ! [X8 : $int] : ((~$less(X8,0) & $less(X8,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X5))))) & partial_solution1(X5,X6) & ! [X9 : $int] : (~$less(X9,0) => (! [X10 : $int] : ((~$less(X10,0) & $less(X10,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X10))) != $sum($sum(X9,X5),$uminus(X10))) <=> ~mem(int,t2tb1(X9),t2tb(X2)))) & ! [X11 : $int] : (mem(int,t2tb1(X11),t2tb(X0)) <=> ($less(X11,n1) & ! [X12 : $int] : ((~$less(X12,0) & $less(X12,X5)) => tb2t1(get(int,int,t2tb2(X6),t2tb1(X12))) != X11) & ~$less(X11,0))) & ~$less(X3,0) & n1 = $sum(X5,cardinal1(int,t2tb(X0)))) => (~is_empty(int,t2tb(X0)) => ! [X13 : $int,X14 : set_int,X15 : $int,X16 : map_int_lpmap_int_intrp,X17 : $int,X18 : map_int_int] : ((partial_solution1(X17,X18) & ! [X19 : map_int_int] : (? [X20 : $int] : (~$less(X20,X3) & eq_prefix1(int,t2tb2(X19),get(map(int,int),int,t2tb3(X16),t2tb1(X20)),n1) & $less(X20,X15)) <=> (mem(int,get(int,int,t2tb2(X19),t2tb1(X17)),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) & eq_prefix1(int,t2tb2(X18),t2tb2(X19),X17) & partial_solution1(n1,X19))) & eq_prefix1(int,t2tb2(X6),t2tb2(X18),X17) & eq_prefix1(map(int,int),t2tb3(X4),t2tb3(X16),X3) & ! [X21 : $int,X22 : $int] : (mem(int,t2tb1(X21),diff(int,diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2)),t2tb(X14))) => (mem(int,t2tb1(X22),t2tb(X14)) => $less(X21,X22))) & sorted1(X16,X3,X15) & subset(int,t2tb(X14),diff(int,diff(int,t2tb(X0),t2tb(X1)),t2tb(X2))) & X5 = X17 & ~$less($sum(X15,$uminus(X3)),0) & $sum(X15,$uminus(X3)) = X13) => (~is_empty(int,t2tb(X14)) => ! [X23 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X18),t2tb1(X17),t2tb1(min_elt1(X14)))) = X23 => ! [X24 : $int] : ($sum(X17,1) = X24 => ! [X25 : $int] : (mem(int,t2tb1(X25),remove(int,t2tb1(min_elt1(X14)),t2tb(X0))) => ! [X26 : $int] : ((~$less(X26,0) & $less(X26,X24)) => tb2t1(get(int,int,t2tb2(X23),t2tb1(X26))) != X25))))))))), 54.17/53.83 inference(rectify,[],[f78])). 54.17/53.83 tff(f78,plain,( 54.17/53.83 ~! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : ((~$less(X15,0) & ! [X6 : $int] : (~$less(X6,0) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $sum($sum(X6,X16),$uminus(X15))))) & partial_solution1(X15,X19) & ! [X6 : $int] : (~$less(X6,0) => (! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $sum($sum(X6,X15),$uminus(X16))) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & ~$less(X6,0))) & ~$less(X0,0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : (~$less(X6,X0) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & ~$less($sum(X4,$uminus(X0)),0) & $sum(X4,$uminus(X0)) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : ((~$less(X16,0) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 54.17/53.83 inference(evaluation,[],[f25])). 54.17/53.83 tff(f25,negated_conjecture,( 54.17/53.83 ~! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : (($lesseq(0,X15) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X16),X15)))) & partial_solution1(X15,X19) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X15),X16)) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & $lesseq(0,X6))) & $lesseq(0,X0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : ($lesseq(X0,X6) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & $lesseq(0,$difference(X4,X0)) & $difference(X4,X0) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 54.17/53.83 inference(negated_conjecture,[],[f24])). 54.17/53.83 tff(f24,conjecture,( 54.17/53.83 ! [X2 : set_int,X9 : set_int,X17 : set_int,X0 : $int,X18 : map_int_lpmap_int_intrp,X15 : $int,X19 : map_int_int] : (($lesseq(0,X15) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),t2tb(X9)) <=> ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X16),X15)))) & partial_solution1(X15,X19) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != $difference($sum(X6,X15),X16)) <=> ~mem(int,t2tb1(X6),t2tb(X17)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(X2)) <=> ($less(X6,n1) & ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X15)) => tb2t1(get(int,int,t2tb2(X19),t2tb1(X16))) != X6) & $lesseq(0,X6))) & $lesseq(0,X0) & n1 = $sum(X15,cardinal1(int,t2tb(X2)))) => (~is_empty(int,t2tb(X2)) => ! [X20 : $int,X21 : set_int,X4 : $int,X22 : map_int_lpmap_int_intrp,X23 : $int,X24 : map_int_int] : ((partial_solution1(X23,X24) & ! [X14 : map_int_int] : (? [X6 : $int] : ($lesseq(X0,X6) & eq_prefix1(int,t2tb2(X14),get(map(int,int),int,t2tb3(X22),t2tb1(X6)),n1) & $less(X6,X4)) <=> (mem(int,get(int,int,t2tb2(X14),t2tb1(X23)),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) & eq_prefix1(int,t2tb2(X24),t2tb2(X14),X23) & partial_solution1(n1,X14))) & eq_prefix1(int,t2tb2(X19),t2tb2(X24),X23) & eq_prefix1(map(int,int),t2tb3(X18),t2tb3(X22),X0) & ! [X6 : $int,X16 : $int] : (mem(int,t2tb1(X6),diff(int,diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17)),t2tb(X21))) => (mem(int,t2tb1(X16),t2tb(X21)) => $less(X6,X16))) & sorted1(X22,X0,X4) & subset(int,t2tb(X21),diff(int,diff(int,t2tb(X2),t2tb(X9)),t2tb(X17))) & X15 = X23 & $lesseq(0,$difference(X4,X0)) & $difference(X4,X0) = X20) => (~is_empty(int,t2tb(X21)) => ! [X25 : map_int_int] : (tb2t2(set1(int,int,t2tb2(X24),t2tb1(X23),t2tb1(min_elt1(X21)))) = X25 => ! [X26 : $int] : ($sum(X23,1) = X26 => ! [X6 : $int] : (mem(int,t2tb1(X6),remove(int,t2tb1(min_elt1(X21)),t2tb(X2))) => ! [X16 : $int] : (($lesseq(0,X16) & $less(X16,X26)) => tb2t1(get(int,int,t2tb2(X25),t2tb1(X16))) != X6))))))))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_t3)). 54.17/53.83 tff(f3157,plain,( 54.17/53.83 ~spl30_271 | ~spl30_254), 54.17/53.83 inference(avatar_split_clause,[],[f3102,f3029,f3155])). 54.17/53.83 tff(f3155,plain,( 54.17/53.83 spl30_271 <=> ~$less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),0)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_271])])). 54.17/53.83 tff(f3029,plain,( 54.17/53.83 spl30_254 <=> mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_254])])). 54.17/53.83 tff(f3102,plain,( 54.17/53.83 ~$less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),0) | ~spl30_254), 54.17/53.83 inference(resolution,[],[f3030,f582])). 54.17/53.83 tff(f582,plain,( 54.17/53.83 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | ~$less(tb2t1(X0),0)) )), 54.17/53.83 inference(superposition,[],[f272,f322])). 54.17/53.83 tff(f272,plain,( 54.17/53.83 ( ! [X28:$int] : (~mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,0)) )), 54.17/53.83 inference(cnf_transformation,[],[f227])). 54.17/53.83 tff(f3030,plain,( 54.17/53.83 mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0)) | ~spl30_254), 54.17/53.83 inference(avatar_component_clause,[],[f3029])). 54.17/53.83 tff(f3150,plain,( 54.17/53.83 spl30_268 | spl30_14 | spl30_84 | ~spl30_154), 54.17/53.83 inference(avatar_split_clause,[],[f1326,f1308,f893,f549,f3148])). 54.17/53.83 tff(f3148,plain,( 54.17/53.83 spl30_268 <=> ! [X25 : map_int_int,X27 : $int,X28 : $int] : (~$less(sK16,X27) | ~$less(sK16,X28) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X25),X28) | ~partial_solution1(X27,X25))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_268])])). 54.17/53.83 tff(f893,plain,( 54.17/53.83 spl30_84 <=> ! [X15 : $int] : (sK15 != X15 | ~$less(X15,0))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_84])])). 54.17/53.83 tff(f1308,plain,( 54.17/53.83 spl30_154 <=> ! [X3 : $int,X2 : uni] : (tb2t1(get(int,int,X2,t2tb1(sK16))) = sK15 | ~eq_prefix1(int,t2tb2(sK13),X2,X3) | ~$less(sK16,X3))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_154])])). 54.17/53.83 tff(f1326,plain,( 54.17/53.83 ( ! [X28:$int,X26:$int,X27:$int,X25:map_int_int] : (sK15 != X26 | ~$less(X26,0) | $less(sK16,0) | ~$less(sK16,X27) | ~partial_solution1(X27,X25) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(X25),X28) | ~$less(sK16,X28)) ) | ~spl30_154), 54.17/53.83 inference(superposition,[],[f475,f1309])). 54.17/53.83 tff(f1309,plain,( 54.17/53.83 ( ! [X2:uni,X3:$int] : (tb2t1(get(int,int,X2,t2tb1(sK16))) = sK15 | ~eq_prefix1(int,t2tb2(sK13),X2,X3) | ~$less(sK16,X3)) ) | ~spl30_154), 54.17/53.83 inference(avatar_component_clause,[],[f1308])). 54.17/53.83 tff(f475,plain,( 54.17/53.83 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X5 | ~$less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.83 inference(theory_flattening,[],[f347])). 54.17/53.83 tff(f347,plain,( 54.17/53.83 ( ! [X4:$int,X0:$int,X1:map_int_int] : (~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.83 inference(cnf_transformation,[],[f234])). 54.17/53.83 tff(f234,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1) | ((tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))) | $sum(sK23(X0,X1),$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) | $sum(sK22(X0,X1),$uminus(sK23(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1))))))) & $less(sK23(X0,X1),sK22(X0,X1)) & ~$less(sK23(X0,X1),0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0)) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),X0))) & (! [X4 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) & ! [X5 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) & $sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) & $sum(X4,$uminus(X5)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5)))))) | ~$less(X5,X4) | $less(X5,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0)) | $less(X4,0) | ~$less(X4,X0)) | ~partial_solution1(X0,X1)))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f231,f233,f232])). 54.17/53.83 tff(f232,plain,( 54.17/53.83 ! [X1 : map_int_int,X0 : $int] : (? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(X2,$uminus(X3)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0)) => ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))) | $sum(X3,$uminus(sK22(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(sK22(X0,X1),$uminus(X3)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) & $less(X3,sK22(X0,X1)) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK22(X0,X1)))),0)) & ~$less(sK22(X0,X1),0) & $less(sK22(X0,X1),X0)))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f233,plain,( 54.17/53.83 ( ! [X2:$int] : (! [X1 : map_int_int,X0 : $int] : (? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(X2,$uminus(X3)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) & $less(X3,X2) & ~$less(X3,0)) => ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))) | $sum(sK23(X0,X1),$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1)))))) | $sum(X2,$uminus(sK23(X0,X1))) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(sK23(X0,X1))))))) & $less(sK23(X0,X1),X2) & ~$less(sK23(X0,X1),0)))) )), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f231,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(X2,$uminus(X3)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0))) & (! [X4 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),n1) & ! [X5 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) & $sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) & $sum(X4,$uminus(X5)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5)))))) | ~$less(X5,X4) | $less(X5,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),0)) | $less(X4,0) | ~$less(X4,X0)) | ~partial_solution1(X0,X1)))), 54.17/53.83 inference(rectify,[],[f230])). 54.17/53.83 tff(f230,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : ((partial_solution1(X0,X1) | ? [X2 : $int] : ((~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) | ? [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) = tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) | $sum(X3,$uminus(X2)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) | $sum(X2,$uminus(X3)) = $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) & $less(X3,X2) & ~$less(X3,0)) | $less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) & ~$less(X2,0) & $less(X2,X0))) & (! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) | ~$less(X3,X2) | $less(X3,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | $less(X2,0) | ~$less(X2,X0)) | ~partial_solution1(X0,X1)))), 54.17/53.83 inference(nnf_transformation,[],[f180])). 54.17/53.83 tff(f180,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) | ~$less(X3,X2) | $less(X3,0)) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | $less(X2,0) | ~$less(X2,X0)))), 54.17/53.83 inference(flattening,[],[f179])). 54.17/53.83 tff(f179,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : (($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : ((tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))))) | (~$less(X3,X2) | $less(X3,0))) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0)) | ($less(X2,0) | ~$less(X2,X0))))), 54.17/53.83 inference(ennf_transformation,[],[f122])). 54.17/53.83 tff(f122,plain,( 54.17/53.83 ! [X0 : $int,X1 : map_int_int] : (partial_solution1(X0,X1) <=> ! [X2 : $int] : ((~$less(X2,0) & $less(X2,X0)) => ($less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),n1) & ! [X3 : $int] : (($less(X3,X2) & ~$less(X3,0)) => (tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) & $sum(X3,$uminus(X2)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))) & $sum(X2,$uminus(X3)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))))))) & ~$less(tb2t1(get(int,int,t2tb2(X1),t2tb1(X2))),0))))), 54.17/53.83 inference(rectify,[],[f83])). 54.17/53.83 tff(f83,plain,( 54.17/53.83 ! [X15 : $int,X0 : map_int_int] : (partial_solution1(X15,X0) <=> ! [X6 : $int] : ((~$less(X6,0) & $less(X6,X15)) => ($less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),n1) & ! [X16 : $int] : (($less(X16,X6) & ~$less(X16,0)) => (tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))) & $sum(X16,$uminus(X6)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))))) & $sum(X6,$uminus(X16)) != $sum(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),$uminus(tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))))))) & ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),0))))), 54.17/53.83 inference(evaluation,[],[f58])). 54.17/53.83 tff(f58,axiom,( 54.17/53.83 ! [X15 : $int,X0 : map_int_int] : (partial_solution1(X15,X0) <=> ! [X6 : $int] : (($lesseq(0,X6) & $less(X6,X15)) => ($less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),n1) & ! [X16 : $int] : (($less(X16,X6) & $lesseq(0,X16)) => (tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))) != tb2t1(get(int,int,t2tb2(X0),t2tb1(X16))) & $difference(X16,X6) != $difference(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X0),t2tb1(X16)))) & $difference(X6,X16) != $difference(tb2t1(get(int,int,t2tb2(X0),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X0),t2tb1(X16)))))) & $lesseq(0,tb2t1(get(int,int,t2tb2(X0),t2tb1(X6)))))))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',partial_solution_def)). 54.17/53.83 tff(f3146,plain,( 54.17/53.83 spl30_258 | ~spl30_254), 54.17/53.83 inference(avatar_split_clause,[],[f3101,f3029,f3108])). 54.17/53.83 tff(f3108,plain,( 54.17/53.83 spl30_258 <=> $less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),n1)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_258])])). 54.17/53.83 tff(f3101,plain,( 54.17/53.83 $less(tb2t1(sK25(int,t2tb(sK0),t2tb(sK8))),n1) | ~spl30_254), 54.17/53.83 inference(resolution,[],[f3030,f723])). 54.17/53.83 tff(f723,plain,( 54.17/53.83 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | $less(tb2t1(X0),n1)) )), 54.17/53.83 inference(superposition,[],[f712,f322])). 54.17/53.83 tff(f712,plain,( 54.17/53.83 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK0)) | $less(X0,n1)) )), 54.17/53.83 inference(equality_resolution,[],[f459])). 54.17/53.83 tff(f459,plain,( 54.17/53.83 ( ! [X28:$int,X29:$int] : (n1 != X29 | $less(X28,X29) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 54.17/53.83 inference(theory_flattening,[],[f274])). 54.17/53.83 tff(f274,plain,( 54.17/53.83 ( ! [X28:$int] : ($less(X28,n1) | ~mem(int,t2tb1(X28),t2tb(sK0))) )), 54.17/53.83 inference(cnf_transformation,[],[f227])). 54.17/53.83 tff(f3145,plain,( 54.17/53.83 spl30_266 | ~spl30_116 | ~spl30_252), 54.17/53.83 inference(avatar_split_clause,[],[f3060,f3023,f1117,f3143])). 54.17/53.83 tff(f3143,plain,( 54.17/53.83 spl30_266 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_266])])). 54.17/53.83 tff(f1117,plain,( 54.17/53.83 spl30_116 <=> mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_116])])). 54.17/53.83 tff(f3023,plain,( 54.17/53.83 spl30_252 <=> infix_eqeq(int,t2tb(sK0),t2tb(sK8))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_252])])). 54.17/53.83 tff(f3060,plain,( 54.17/53.83 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK8)) | (~spl30_116 | ~spl30_252)), 54.17/53.83 inference(resolution,[],[f3052,f1118])). 54.17/53.83 tff(f1118,plain,( 54.17/53.83 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0)) | ~spl30_116), 54.17/53.83 inference(avatar_component_clause,[],[f1117])). 54.17/53.83 tff(f3052,plain,( 54.17/53.83 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK0)) | mem(int,X0,t2tb(sK8))) ) | ~spl30_252), 54.17/53.83 inference(resolution,[],[f3024,f383])). 54.17/53.83 tff(f383,plain,( 54.17/53.83 ( ! [X4:uni,X2:uni,X0:ty,X1:uni] : (~infix_eqeq(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 54.17/53.83 inference(cnf_transformation,[],[f249])). 54.17/53.83 tff(f249,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2)))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f247,f248])). 54.17/53.83 tff(f248,plain,( 54.17/53.83 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3)) => ((~mem(X0,sK25(X0,X1,X2),X2) | ~mem(X0,sK25(X0,X1,X2),X1)) & (mem(X0,sK25(X0,X1,X2),X2) | mem(X0,sK25(X0,X1,X2),X1)) & sort1(X0,sK25(X0,X1,X2))))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f247,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 54.17/53.83 inference(flattening,[],[f246])). 54.17/53.83 tff(f246,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : (((~mem(X0,X3,X2) | ~mem(X0,X3,X1)) & (mem(X0,X3,X2) | mem(X0,X3,X1))) & sort1(X0,X3))) & (! [X4 : uni] : ((mem(X0,X4,X1) | ~mem(X0,X4,X2)) & (mem(X0,X4,X2) | ~mem(X0,X4,X1))) | ~infix_eqeq(X0,X1,X2)))), 54.17/53.83 inference(nnf_transformation,[],[f181])). 54.17/53.83 tff(f181,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((infix_eqeq(X0,X1,X2) | ? [X3 : uni] : ((mem(X0,X3,X1) <~> mem(X0,X3,X2)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2)) | ~infix_eqeq(X0,X1,X2)))), 54.17/53.83 inference(ennf_transformation,[],[f140])). 54.17/53.83 tff(f140,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) <=> mem(X0,X3,X2))) => infix_eqeq(X0,X1,X2)) & (infix_eqeq(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) <=> mem(X0,X4,X2))))), 54.17/53.83 inference(rectify,[],[f45])). 54.17/53.83 tff(f45,axiom,( 54.17/53.83 ! [X2 : ty,X4 : uni,X5 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => (mem(X2,X1,X4) <=> mem(X2,X1,X5))) => infix_eqeq(X2,X4,X5)) & (infix_eqeq(X2,X4,X5) => ! [X1 : uni] : (mem(X2,X1,X4) <=> mem(X2,X1,X5))))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infix_eqeq_def)). 54.17/53.83 tff(f3024,plain,( 54.17/53.83 infix_eqeq(int,t2tb(sK0),t2tb(sK8)) | ~spl30_252), 54.17/53.83 inference(avatar_component_clause,[],[f3023])). 54.17/53.83 tff(f3136,plain,( 54.17/53.83 ~spl30_265 | ~spl30_58 | ~spl30_256), 54.17/53.83 inference(avatar_split_clause,[],[f3121,f3079,f788,f3134])). 54.17/53.83 tff(f3134,plain,( 54.17/53.83 spl30_265 <=> ~mem(int,t2tb1(sK15),t2tb(sK2))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_265])])). 54.17/53.83 tff(f788,plain,( 54.17/53.83 spl30_58 <=> subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_58])])). 54.17/53.83 tff(f3079,plain,( 54.17/53.83 spl30_256 <=> mem(int,t2tb1(sK15),t2tb(sK8))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_256])])). 54.17/53.83 tff(f3121,plain,( 54.17/53.83 ~mem(int,t2tb1(sK15),t2tb(sK2)) | (~spl30_58 | ~spl30_256)), 54.17/53.83 inference(resolution,[],[f3080,f1044])). 54.17/53.83 tff(f1044,plain,( 54.17/53.83 ( ! [X1:uni] : (~mem(int,X1,t2tb(sK8)) | ~mem(int,X1,t2tb(sK2))) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f792,f422])). 54.17/53.83 tff(f422,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,diff(X0,X1,X2)) | ~mem(X0,X3,X2)) )), 54.17/53.83 inference(cnf_transformation,[],[f263])). 54.17/53.83 tff(f263,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X2) | ~mem(X0,X3,X1)))), 54.17/53.83 inference(flattening,[],[f262])). 54.17/53.83 tff(f262,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((~mem(X0,X3,X2) & mem(X0,X3,X1)) | ~mem(X0,X3,diff(X0,X1,X2))) & (mem(X0,X3,diff(X0,X1,X2)) | (mem(X0,X3,X2) | ~mem(X0,X3,X1))))), 54.17/53.83 inference(nnf_transformation,[],[f160])). 54.17/53.83 tff(f160,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) <=> mem(X0,X3,diff(X0,X1,X2)))), 54.17/53.83 inference(rectify,[],[f4])). 54.17/53.83 tff(f4,axiom,( 54.17/53.83 ! [X2 : ty,X4 : uni,X5 : uni,X1 : uni] : ((~mem(X2,X1,X5) & mem(X2,X1,X4)) <=> mem(X2,X1,diff(X2,X4,X5)))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_def1)). 54.17/53.83 tff(f792,plain,( 54.17/53.83 ( ! [X1:uni] : (mem(int,X1,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~mem(int,X1,t2tb(sK8))) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f789,f388])). 54.17/53.83 tff(f388,plain,( 54.17/53.83 ( ! [X4:uni,X2:uni,X0:ty,X1:uni] : (~subset(X0,X1,X2) | ~mem(X0,X4,X1) | mem(X0,X4,X2)) )), 54.17/53.83 inference(cnf_transformation,[],[f251])). 54.17/53.83 tff(f251,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2)))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f183,f250])). 54.17/53.83 tff(f250,plain,( 54.17/53.83 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3)) => (~mem(X0,sK26(X0,X1,X2),X2) & mem(X0,sK26(X0,X1,X2),X1) & sort1(X0,sK26(X0,X1,X2))))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f183,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : (~mem(X0,X3,X2) & mem(X0,X3,X1) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 54.17/53.83 inference(flattening,[],[f182])). 54.17/53.83 tff(f182,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((subset(X0,X1,X2) | ? [X3 : uni] : ((~mem(X0,X3,X2) & mem(X0,X3,X1)) & sort1(X0,X3))) & (! [X4 : uni] : (mem(X0,X4,X2) | ~mem(X0,X4,X1)) | ~subset(X0,X1,X2)))), 54.17/53.83 inference(ennf_transformation,[],[f141])). 54.17/53.83 tff(f141,plain,( 54.17/53.83 ! [X0 : ty,X1 : uni,X2 : uni] : ((! [X3 : uni] : (sort1(X0,X3) => (mem(X0,X3,X1) => mem(X0,X3,X2))) => subset(X0,X1,X2)) & (subset(X0,X1,X2) => ! [X4 : uni] : (mem(X0,X4,X1) => mem(X0,X4,X2))))), 54.17/53.83 inference(rectify,[],[f69])). 54.17/53.83 tff(f69,axiom,( 54.17/53.83 ! [X2 : ty,X4 : uni,X5 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => (mem(X2,X1,X4) => mem(X2,X1,X5))) => subset(X2,X4,X5)) & (subset(X2,X4,X5) => ! [X1 : uni] : (mem(X2,X1,X4) => mem(X2,X1,X5))))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_def)). 54.17/53.83 tff(f789,plain,( 54.17/53.83 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2))) | ~spl30_58), 54.17/53.83 inference(avatar_component_clause,[],[f788])). 54.17/53.83 tff(f3080,plain,( 54.17/53.83 mem(int,t2tb1(sK15),t2tb(sK8)) | ~spl30_256), 54.17/53.83 inference(avatar_component_clause,[],[f3079])). 54.17/53.83 tff(f3129,plain,( 54.17/53.83 ~spl30_263 | ~spl30_58 | ~spl30_256), 54.17/53.83 inference(avatar_split_clause,[],[f3119,f3079,f788,f3127])). 54.17/53.83 tff(f3127,plain,( 54.17/53.83 spl30_263 <=> ~mem(int,t2tb1(sK15),t2tb(sK1))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_263])])). 54.17/53.83 tff(f3119,plain,( 54.17/53.83 ~mem(int,t2tb1(sK15),t2tb(sK1)) | (~spl30_58 | ~spl30_256)), 54.17/53.83 inference(resolution,[],[f3080,f1095])). 54.17/53.83 tff(f1095,plain,( 54.17/53.83 ( ! [X1:uni] : (~mem(int,X1,t2tb(sK8)) | ~mem(int,X1,t2tb(sK1))) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f1043,f422])). 54.17/53.83 tff(f1043,plain,( 54.17/53.83 ( ! [X0:uni] : (mem(int,X0,diff(int,t2tb(sK0),t2tb(sK1))) | ~mem(int,X0,t2tb(sK8))) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f792,f421])). 54.17/53.83 tff(f421,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,diff(X0,X1,X2)) | mem(X0,X3,X1)) )), 54.17/53.83 inference(cnf_transformation,[],[f263])). 54.17/53.83 tff(f3118,plain,( 54.17/53.83 spl30_260 | spl30_14 | spl30_84 | ~spl30_146), 54.17/53.83 inference(avatar_split_clause,[],[f1283,f1259,f893,f549,f3116])). 54.17/53.83 tff(f3116,plain,( 54.17/53.83 spl30_260 <=> ! [X25 : map_int_int,X27 : $int,X28 : $int] : (~$less(sK16,X27) | ~$less(sK16,X28) | ~eq_prefix1(int,t2tb2(X25),t2tb2(sK13),X28) | ~partial_solution1(X27,X25))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_260])])). 54.17/53.83 tff(f1259,plain,( 54.17/53.83 spl30_146 <=> ! [X1 : $int,X0 : uni] : (tb2t1(get(int,int,X0,t2tb1(sK16))) = sK15 | ~eq_prefix1(int,X0,t2tb2(sK13),X1) | ~$less(sK16,X1))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_146])])). 54.17/53.83 tff(f1283,plain,( 54.17/53.83 ( ! [X28:$int,X26:$int,X27:$int,X25:map_int_int] : (sK15 != X26 | ~$less(X26,0) | $less(sK16,0) | ~$less(sK16,X27) | ~partial_solution1(X27,X25) | ~eq_prefix1(int,t2tb2(X25),t2tb2(sK13),X28) | ~$less(sK16,X28)) ) | ~spl30_146), 54.17/53.83 inference(superposition,[],[f475,f1260])). 54.17/53.83 tff(f1260,plain,( 54.17/53.83 ( ! [X0:uni,X1:$int] : (tb2t1(get(int,int,X0,t2tb1(sK16))) = sK15 | ~eq_prefix1(int,X0,t2tb2(sK13),X1) | ~$less(sK16,X1)) ) | ~spl30_146), 54.17/53.83 inference(avatar_component_clause,[],[f1259])). 54.17/53.83 tff(f3114,plain,( 54.17/53.83 spl30_256 | ~spl30_94 | ~spl30_252), 54.17/53.83 inference(avatar_split_clause,[],[f3062,f3023,f929,f3079])). 54.17/53.83 tff(f929,plain,( 54.17/53.83 spl30_94 <=> mem(int,t2tb1(sK15),t2tb(sK0))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_94])])). 54.17/53.83 tff(f3062,plain,( 54.17/53.83 mem(int,t2tb1(sK15),t2tb(sK8)) | (~spl30_94 | ~spl30_252)), 54.17/53.83 inference(resolution,[],[f3052,f930])). 54.17/53.83 tff(f930,plain,( 54.17/53.83 mem(int,t2tb1(sK15),t2tb(sK0)) | ~spl30_94), 54.17/53.83 inference(avatar_component_clause,[],[f929])). 54.17/53.83 tff(f3110,plain,( 54.17/53.83 spl30_258 | ~spl30_254), 54.17/53.83 inference(avatar_split_clause,[],[f3101,f3029,f3108])). 54.17/53.83 tff(f3081,plain,( 54.17/53.83 spl30_256 | ~spl30_94 | ~spl30_252), 54.17/53.83 inference(avatar_split_clause,[],[f3062,f3023,f929,f3079])). 54.17/53.83 tff(f3031,plain,( 54.17/53.83 spl30_252 | spl30_254 | ~spl30_58), 54.17/53.83 inference(avatar_split_clause,[],[f3018,f788,f3029,f3023])). 54.17/53.83 tff(f3018,plain,( 54.17/53.83 mem(int,sK25(int,t2tb(sK0),t2tb(sK8)),t2tb(sK0)) | infix_eqeq(int,t2tb(sK0),t2tb(sK8)) | ~spl30_58), 54.17/53.83 inference(factoring,[],[f1103])). 54.17/53.83 tff(f1103,plain,( 54.17/53.83 ( ! [X0:uni] : (mem(int,sK25(int,X0,t2tb(sK8)),t2tb(sK0)) | infix_eqeq(int,X0,t2tb(sK8)) | mem(int,sK25(int,X0,t2tb(sK8)),X0)) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f1094,f386])). 54.17/53.83 tff(f386,plain,( 54.17/53.83 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK25(X0,X1,X2),X2) | infix_eqeq(X0,X1,X2) | mem(X0,sK25(X0,X1,X2),X1)) )), 54.17/53.83 inference(cnf_transformation,[],[f249])). 54.17/53.83 tff(f1094,plain,( 54.17/53.83 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK8)) | mem(int,X0,t2tb(sK0))) ) | ~spl30_58), 54.17/53.83 inference(resolution,[],[f1043,f421])). 54.17/53.83 tff(f3014,plain,( 54.17/53.83 ~spl30_249 | ~spl30_251 | ~spl30_246), 54.17/53.83 inference(avatar_split_clause,[],[f3001,f2952,f3012,f3006])). 54.17/53.83 tff(f3006,plain,( 54.17/53.83 spl30_249 <=> ~lt_sol1(sK13,sK6)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_249])])). 54.17/53.83 tff(f3012,plain,( 54.17/53.83 spl30_251 <=> ~$less(sK16,sK24(sK13,sK6))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_251])])). 54.17/53.83 tff(f2952,plain,( 54.17/53.83 spl30_246 <=> ! [X47 : $int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_246])])). 54.17/53.83 tff(f3001,plain,( 54.17/53.83 ~$less(sK16,sK24(sK13,sK6)) | ~lt_sol1(sK13,sK6) | ~spl30_246), 54.17/53.83 inference(resolution,[],[f2953,f372])). 54.17/53.83 tff(f372,plain,( 54.17/53.83 ( ! [X0:map_int_int,X1:map_int_int] : (eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) | ~lt_sol1(X0,X1)) )), 54.17/53.83 inference(cnf_transformation,[],[f245])). 54.17/53.83 tff(f245,plain,( 54.17/53.83 ! [X0 : map_int_int,X1 : map_int_int] : ((($less(sK24(X0,X1),n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & ~$less(sK24(X0,X1),0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : (~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0))))), 54.17/53.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f243,f244])). 54.17/53.83 tff(f244,plain,( 54.17/53.83 ! [X1 : map_int_int,X0 : map_int_int] : (? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) => ($less(sK24(X0,X1),n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),sK24(X0,X1)) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK24(X0,X1)))),tb2t1(get(int,int,t2tb2(X1),t2tb1(sK24(X0,X1))))) & ~$less(sK24(X0,X1),0)))), 54.17/53.83 introduced(choice_axiom,[])). 54.17/53.83 tff(f243,plain,( 54.17/53.83 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X3 : $int] : (~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0))))), 54.17/53.83 inference(rectify,[],[f242])). 54.17/53.83 tff(f242,plain,( 54.17/53.83 ! [X0 : map_int_int,X1 : map_int_int] : ((? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) | ~lt_sol1(X0,X1)) & (lt_sol1(X0,X1) | ! [X2 : $int] : (~$less(X2,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) | $less(X2,0))))), 54.17/53.83 inference(nnf_transformation,[],[f130])). 54.17/53.83 tff(f130,plain,( 54.17/53.83 ! [X0 : map_int_int,X1 : map_int_int] : (? [X2 : $int] : ($less(X2,n1) & eq_prefix1(int,t2tb2(X0),t2tb2(X1),X2) & $less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X2))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X2)))) & ~$less(X2,0)) <=> lt_sol1(X0,X1))), 54.17/53.83 inference(rectify,[],[f87])). 54.17/53.83 tff(f87,plain,( 54.17/53.83 ! [X4 : map_int_int,X5 : map_int_int] : (? [X6 : $int] : ($less(X6,n1) & eq_prefix1(int,t2tb2(X4),t2tb2(X5),X6) & $less(tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X5),t2tb1(X6)))) & ~$less(X6,0)) <=> lt_sol1(X4,X5))), 54.17/53.83 inference(evaluation,[],[f36])). 54.17/53.83 tff(f36,axiom,( 54.17/53.83 ! [X4 : map_int_int,X5 : map_int_int] : (? [X6 : $int] : ($less(X6,n1) & eq_prefix1(int,t2tb2(X4),t2tb2(X5),X6) & $less(tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))),tb2t1(get(int,int,t2tb2(X5),t2tb1(X6)))) & $lesseq(0,X6)) <=> lt_sol1(X4,X5))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lt_sol_def)). 54.17/53.83 tff(f2953,plain,( 54.17/53.83 ( ! [X47:$int] : (~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47)) ) | ~spl30_246), 54.17/53.83 inference(avatar_component_clause,[],[f2952])). 54.17/53.83 tff(f2954,plain,( 54.17/53.83 spl30_246 | ~spl30_215 | spl30_14 | ~spl30_95 | ~spl30_154), 54.17/53.83 inference(avatar_split_clause,[],[f1515,f1308,f926,f549,f2266,f2952])). 54.17/53.83 tff(f1515,plain,( 54.17/53.83 ( ! [X47:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK6),X47) | ~$less(sK16,X47)) ) | ~spl30_154), 54.17/53.83 inference(superposition,[],[f888,f1332])). 54.17/53.83 tff(f1332,plain,( 54.17/53.83 ( ! [X50:uni,X51:$int] : (t2tb1(sK15) = get(int,int,X50,t2tb1(sK16)) | ~eq_prefix1(int,t2tb2(sK13),X50,X51) | ~$less(sK16,X51)) ) | ~spl30_154), 54.17/53.83 inference(superposition,[],[f322,f1309])). 54.17/53.83 tff(f2891,plain,( 54.17/53.83 spl30_14 | spl30_244 | ~spl30_224), 54.17/53.83 inference(avatar_split_clause,[],[f2522,f2376,f2889,f549])). 54.17/53.83 tff(f2889,plain,( 54.17/53.83 spl30_244 <=> ! [X3 : $int,X2 : uni] : (t2tb1(sK15) = get(int,int,X2,t2tb1(sK16)) | ~eq_prefix1(int,t2tb2(sK12),X2,X3) | ~$less(sK16,X3))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_244])])). 54.17/53.83 tff(f2522,plain,( 54.17/53.83 ( ! [X2:uni,X3:$int] : (t2tb1(sK15) = get(int,int,X2,t2tb1(sK16)) | ~$less(sK16,X3) | $less(sK16,0) | ~eq_prefix1(int,t2tb2(sK12),X2,X3)) ) | ~spl30_224), 54.17/53.83 inference(superposition,[],[f2377,f429])). 54.17/53.83 tff(f2799,plain,( 54.17/53.83 spl30_223), 54.17/53.83 inference(avatar_contradiction_clause,[],[f2798])). 54.17/53.83 tff(f2798,plain,( 54.17/53.83 $false | ~spl30_223), 54.17/53.83 inference(resolution,[],[f2371,f313])). 54.17/53.83 tff(f313,plain,( 54.17/53.83 ( ! [X0:$int] : (sort1(int,t2tb1(X0))) )), 54.17/53.83 inference(cnf_transformation,[],[f95])). 54.17/53.83 tff(f95,plain,( 54.17/53.83 ! [X0 : $int] : sort1(int,t2tb1(X0))), 54.17/53.83 inference(rectify,[],[f37])). 54.17/53.83 tff(f37,axiom,( 54.17/53.83 ! [X1 : $int] : sort1(int,t2tb1(X1))), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort1)). 54.17/53.83 tff(f2371,plain,( 54.17/53.83 ~sort1(int,t2tb1(sK16)) | ~spl30_223), 54.17/53.83 inference(avatar_component_clause,[],[f2370])). 54.17/53.83 tff(f2370,plain,( 54.17/53.83 spl30_223 <=> ~sort1(int,t2tb1(sK16))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_223])])). 54.17/53.83 tff(f2797,plain,( 54.17/53.83 spl30_14 | spl30_242 | ~spl30_224), 54.17/53.83 inference(avatar_split_clause,[],[f2521,f2376,f2795,f549])). 54.17/53.83 tff(f2795,plain,( 54.17/53.83 spl30_242 <=> ! [X1 : $int,X0 : uni] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~eq_prefix1(int,X0,t2tb2(sK12),X1) | ~$less(sK16,X1))), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_242])])). 54.17/53.83 tff(f2521,plain,( 54.17/53.83 ( ! [X0:uni,X1:$int] : (t2tb1(sK15) = get(int,int,X0,t2tb1(sK16)) | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,X0,t2tb2(sK12),X1)) ) | ~spl30_224), 54.17/53.83 inference(superposition,[],[f2377,f429])). 54.17/53.83 tff(f2780,plain,( 54.17/53.83 ~spl30_237 | ~spl30_239 | spl30_240 | ~spl30_162 | ~spl30_224), 54.17/53.83 inference(avatar_split_clause,[],[f2759,f2376,f1566,f2778,f2772,f2766])). 54.17/53.83 tff(f2772,plain,( 54.17/53.83 spl30_239 <=> ~$less(sK15,sK15)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_239])])). 54.17/53.83 tff(f2778,plain,( 54.17/53.83 spl30_240 <=> lt_sol1(sK12,sK13)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_240])])). 54.17/53.83 tff(f1566,plain,( 54.17/53.83 spl30_162 <=> ! [X20 : $int,X17 : $int,X19 : map_int_int] : (sK15 != X17 | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | ~$less(X20,X17) | lt_sol1(X19,sK13) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20)), 54.17/53.83 introduced(avatar_definition,[new_symbols(naming,[spl30_162])])). 54.17/53.83 tff(f2759,plain,( 54.17/53.83 lt_sol1(sK12,sK13) | ~$less(sK15,sK15) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | (~spl30_162 | ~spl30_224)), 54.17/53.83 inference(forward_demodulation,[],[f2758,f319])). 54.17/53.83 tff(f319,plain,( 54.17/53.83 ( ! [X0:map_int_int] : (tb2t2(t2tb2(X0)) = X0) )), 54.17/53.83 inference(cnf_transformation,[],[f101])). 54.17/53.83 tff(f101,plain,( 54.17/53.83 ! [X0 : map_int_int] : tb2t2(t2tb2(X0)) = X0), 54.17/53.83 inference(rectify,[],[f77])). 54.17/53.83 tff(f77,axiom,( 54.17/53.83 ! [X6 : map_int_int] : tb2t2(t2tb2(X6)) = X6), 54.17/53.83 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL2)). 54.17/53.83 tff(f2758,plain,( 54.17/53.83 ~$less(sK15,sK15) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | lt_sol1(tb2t2(t2tb2(sK12)),sK13) | (~spl30_162 | ~spl30_224)), 54.17/53.84 inference(forward_demodulation,[],[f2747,f320])). 54.17/53.84 tff(f2747,plain,( 54.17/53.84 ~$less(tb2t1(t2tb1(sK15)),sK15) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(sK13),sK16) | lt_sol1(tb2t2(t2tb2(sK12)),sK13) | (~spl30_162 | ~spl30_224)), 54.17/53.84 inference(superposition,[],[f2282,f2377])). 54.17/53.84 tff(f2282,plain,( 54.17/53.84 ( ! [X0:uni] : (~$less(tb2t1(get(int,int,X0,t2tb1(sK16))),sK15) | ~eq_prefix1(int,X0,t2tb2(sK13),sK16) | lt_sol1(tb2t2(X0),sK13)) ) | ~spl30_162), 54.17/53.84 inference(forward_demodulation,[],[f2274,f317])). 54.17/53.84 tff(f317,plain,( 54.17/53.84 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 54.17/53.84 inference(cnf_transformation,[],[f99])). 54.17/53.84 tff(f99,plain,( 54.17/53.84 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 54.17/53.84 inference(rectify,[],[f70])). 54.17/53.84 tff(f70,axiom,( 54.17/53.84 ! [X16 : uni] : t2tb2(tb2t2(X16)) = X16), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 54.17/53.84 tff(f2274,plain,( 54.17/53.84 ( ! [X0:uni] : (~$less(tb2t1(get(int,int,X0,t2tb1(sK16))),sK15) | lt_sol1(tb2t2(X0),sK13) | ~eq_prefix1(int,t2tb2(tb2t2(X0)),t2tb2(sK13),sK16)) ) | ~spl30_162), 54.17/53.84 inference(superposition,[],[f2273,f317])). 54.17/53.84 tff(f2273,plain,( 54.17/53.84 ( ! [X0:map_int_int] : (~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK16))),sK15) | lt_sol1(X0,sK13) | ~eq_prefix1(int,t2tb2(X0),t2tb2(sK13),sK16)) ) | ~spl30_162), 54.17/53.84 inference(equality_resolution,[],[f1596])). 54.17/53.84 tff(f1596,plain,( 54.17/53.84 ( ! [X0:map_int_int,X1:$int] : (sK15 != X1 | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(sK16))),X1) | lt_sol1(X0,sK13) | ~eq_prefix1(int,t2tb2(X0),t2tb2(sK13),sK16)) ) | ~spl30_162), 54.17/53.84 inference(equality_resolution,[],[f1567])). 54.17/53.84 tff(f1567,plain,( 54.17/53.84 ( ! [X19:map_int_int,X17:$int,X20:$int] : (tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | ~$less(X20,X17) | lt_sol1(X19,sK13) | sK15 != X17) ) | ~spl30_162), 54.17/53.84 inference(avatar_component_clause,[],[f1566])). 54.17/53.84 tff(f2632,plain,( 54.17/53.84 ~spl30_235 | ~spl30_28 | ~spl30_232), 54.17/53.84 inference(avatar_split_clause,[],[f2625,f2587,f612,f2630])). 54.17/53.84 tff(f2630,plain,( 54.17/53.84 spl30_235 <=> ~partial_solution1(sK14,sK12)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_235])])). 54.17/53.84 tff(f2587,plain,( 54.17/53.84 spl30_232 <=> ! [X16 : $int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK12))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_232])])). 54.17/53.84 tff(f2625,plain,( 54.17/53.84 ~partial_solution1(sK14,sK12) | (~spl30_28 | ~spl30_232)), 54.17/53.84 inference(resolution,[],[f2588,f613])). 54.17/53.84 tff(f2588,plain,( 54.17/53.84 ( ! [X16:$int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK12)) ) | ~spl30_232), 54.17/53.84 inference(avatar_component_clause,[],[f2587])). 54.17/53.84 tff(f2589,plain,( 54.17/53.84 spl30_232 | spl30_14 | spl30_84 | ~spl30_224), 54.17/53.84 inference(avatar_split_clause,[],[f2543,f2376,f893,f549,f2587])). 54.17/53.84 tff(f2543,plain,( 54.17/53.84 ( ! [X15:$int,X16:$int] : (sK15 != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK12)) ) | ~spl30_224), 54.17/53.84 inference(forward_demodulation,[],[f2528,f320])). 54.17/53.84 tff(f2528,plain,( 54.17/53.84 ( ! [X15:$int,X16:$int] : (tb2t1(t2tb1(sK15)) != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK12)) ) | ~spl30_224), 54.17/53.84 inference(superposition,[],[f475,f2377])). 54.17/53.84 tff(f2487,plain,( 54.17/53.84 ~spl30_229 | ~spl30_231 | ~spl30_212), 54.17/53.84 inference(avatar_split_clause,[],[f2474,f2260,f2485,f2479])). 54.17/53.84 tff(f2479,plain,( 54.17/53.84 spl30_229 <=> ~lt_sol1(sK6,sK13)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_229])])). 54.17/53.84 tff(f2485,plain,( 54.17/53.84 spl30_231 <=> ~$less(sK16,sK24(sK6,sK13))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_231])])). 54.17/53.84 tff(f2260,plain,( 54.17/53.84 spl30_212 <=> ! [X47 : $int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_212])])). 54.17/53.84 tff(f2474,plain,( 54.17/53.84 ~$less(sK16,sK24(sK6,sK13)) | ~lt_sol1(sK6,sK13) | ~spl30_212), 54.17/53.84 inference(resolution,[],[f2261,f372])). 54.17/53.84 tff(f2261,plain,( 54.17/53.84 ( ! [X47:$int] : (~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47)) ) | ~spl30_212), 54.17/53.84 inference(avatar_component_clause,[],[f2260])). 54.17/53.84 tff(f2444,plain,( 54.17/53.84 spl30_226 | ~spl30_36 | ~spl30_220), 54.17/53.84 inference(avatar_split_clause,[],[f2379,f2364,f661,f2442])). 54.17/53.84 tff(f2378,plain,( 54.17/53.84 spl30_220 | ~spl30_223 | spl30_224 | ~spl30_36 | ~spl30_218), 54.17/53.84 inference(avatar_split_clause,[],[f2309,f2304,f661,f2376,f2370,f2364])). 54.17/53.84 tff(f2304,plain,( 54.17/53.84 spl30_218 <=> ! [X0 : uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | ~sort1(int,X0) | t2tb1(sK5) = X0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_218])])). 54.17/53.84 tff(f2309,plain,( 54.17/53.84 t2tb1(sK15) = get(int,int,t2tb2(sK12),t2tb1(sK16)) | ~sort1(int,t2tb1(sK16)) | t2tb1(sK5) = t2tb1(sK16) | (~spl30_36 | ~spl30_218)), 54.17/53.84 inference(superposition,[],[f2305,f662])). 54.17/53.84 tff(f2305,plain,( 54.17/53.84 ( ! [X0:uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | ~sort1(int,X0) | t2tb1(sK5) = X0) ) | ~spl30_218), 54.17/53.84 inference(avatar_component_clause,[],[f2304])). 54.17/53.84 tff(f2308,plain,( 54.17/53.84 spl30_217), 54.17/53.84 inference(avatar_contradiction_clause,[],[f2307])). 54.17/53.84 tff(f2307,plain,( 54.17/53.84 $false | ~spl30_217), 54.17/53.84 inference(resolution,[],[f2302,f313])). 54.17/53.84 tff(f2302,plain,( 54.17/53.84 ~sort1(int,t2tb1(sK5)) | ~spl30_217), 54.17/53.84 inference(avatar_component_clause,[],[f2301])). 54.17/53.84 tff(f2301,plain,( 54.17/53.84 spl30_217 <=> ~sort1(int,t2tb1(sK5))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_217])])). 54.17/53.84 tff(f2306,plain,( 54.17/53.84 ~spl30_217 | spl30_218 | ~spl30_56), 54.17/53.84 inference(avatar_split_clause,[],[f782,f778,f2304,f2301])). 54.17/53.84 tff(f778,plain,( 54.17/53.84 spl30_56 <=> set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) = t2tb2(sK13)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_56])])). 54.17/53.84 tff(f782,plain,( 54.17/53.84 ( ! [X0:uni] : (get(int,int,t2tb2(sK12),X0) = get(int,int,t2tb2(sK13),X0) | t2tb1(sK5) = X0 | ~sort1(int,X0) | ~sort1(int,t2tb1(sK5))) ) | ~spl30_56), 54.17/53.84 inference(superposition,[],[f431,f779])). 54.17/53.84 tff(f779,plain,( 54.17/53.84 set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) = t2tb2(sK13) | ~spl30_56), 54.17/53.84 inference(avatar_component_clause,[],[f778])). 54.17/53.84 tff(f431,plain,( 54.17/53.84 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,X2,X4) = get(X1,X0,set1(X1,X0,X2,X3,X5),X4) | X3 = X4 | ~sort1(X0,X4) | ~sort1(X0,X3)) )), 54.17/53.84 inference(cnf_transformation,[],[f211])). 54.17/53.84 tff(f211,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set1(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort1(X0,X4) | ~sort1(X0,X3))), 54.17/53.84 inference(flattening,[],[f210])). 54.17/53.84 tff(f210,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set1(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort1(X0,X4)) | ~sort1(X0,X3))), 54.17/53.84 inference(ennf_transformation,[],[f164])). 54.17/53.84 tff(f164,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort1(X0,X3) => (sort1(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,X2,X4) = get(X1,X0,set1(X1,X0,X2,X3,X5),X4))))), 54.17/53.84 inference(rectify,[],[f43])). 54.17/53.84 tff(f43,axiom,( 54.17/53.84 ! [X2 : ty,X9 : ty,X27 : uni,X28 : uni,X29 : uni] : (sort1(X2,X28) => (sort1(X2,X29) => ! [X30 : uni] : (X28 != X29 => get(X9,X2,X27,X29) = get(X9,X2,set1(X9,X2,X27,X28,X30),X29))))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq)). 54.17/53.84 tff(f2268,plain,( 54.17/53.84 spl30_212 | ~spl30_215 | spl30_14 | ~spl30_95 | ~spl30_146), 54.17/53.84 inference(avatar_split_clause,[],[f1479,f1259,f926,f549,f2266,f2260])). 54.17/53.84 tff(f1479,plain,( 54.17/53.84 ( ! [X47:$int] : (~mem(int,t2tb1(sK15),t2tb(sK0)) | $less(sK16,0) | ~$less(sK16,sK5) | ~eq_prefix1(int,t2tb2(sK6),t2tb2(sK13),X47) | ~$less(sK16,X47)) ) | ~spl30_146), 54.17/53.84 inference(superposition,[],[f888,f1289])). 54.17/53.84 tff(f1289,plain,( 54.17/53.84 ( ! [X50:$int,X49:uni] : (t2tb1(sK15) = get(int,int,X49,t2tb1(sK16)) | ~eq_prefix1(int,X49,t2tb2(sK13),X50) | ~$less(sK16,X50)) ) | ~spl30_146), 54.17/53.84 inference(superposition,[],[f322,f1260])). 54.17/53.84 tff(f2202,plain,( 54.17/53.84 spl30_210 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f2195,f788,f2200])). 54.17/53.84 tff(f2200,plain,( 54.17/53.84 spl30_210 <=> subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_210])])). 54.17/53.84 tff(f2195,plain,( 54.17/53.84 subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | ~spl30_58), 54.17/53.84 inference(duplicate_literal_removal,[],[f2194])). 54.17/53.84 tff(f2194,plain,( 54.17/53.84 subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | subset(int,t2tb(sK8),diff(int,t2tb(sK0),t2tb(sK1))) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1098,f390])). 54.17/53.84 tff(f390,plain,( 54.17/53.84 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,sK26(X0,X1,X2),X1) | subset(X0,X1,X2)) )), 54.17/53.84 inference(cnf_transformation,[],[f251])). 54.17/53.84 tff(f1098,plain,( 54.17/53.84 ( ! [X4:uni] : (~mem(int,sK26(int,X4,diff(int,t2tb(sK0),t2tb(sK1))),t2tb(sK8)) | subset(int,X4,diff(int,t2tb(sK0),t2tb(sK1)))) ) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1043,f391])). 54.17/53.84 tff(f391,plain,( 54.17/53.84 ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,sK26(X0,X1,X2),X2) | subset(X0,X1,X2)) )), 54.17/53.84 inference(cnf_transformation,[],[f251])). 54.17/53.84 tff(f2193,plain,( 54.17/53.84 spl30_16 | spl30_208 | ~spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f1190,f508,f2191,f557])). 54.17/53.84 tff(f557,plain,( 54.17/53.84 spl30_16 <=> $less(sK5,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_16])])). 54.17/53.84 tff(f2191,plain,( 54.17/53.84 spl30_208 <=> ! [X3 : map_int_int,X5 : $int,X4 : uni] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(X3),X4,X5) | ~$less(sK5,X5) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | ~partial_solution1(n1,X3) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_208])])). 54.17/53.84 tff(f508,plain,( 54.17/53.84 spl30_2 <=> sK5 = sK11), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_2])])). 54.17/53.84 tff(f1190,plain,( 54.17/53.84 ( ! [X4:uni,X5:$int,X3:map_int_int] : (~mem(int,get(int,int,X4,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X3),sK5) | eq_prefix1(int,t2tb2(X3),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X3))),n1) | ~partial_solution1(n1,X3) | ~$less(sK5,X5) | $less(sK5,0) | ~eq_prefix1(int,t2tb2(X3),X4,X5)) ) | ~spl30_2), 54.17/53.84 inference(superposition,[],[f1171,f429])). 54.17/53.84 tff(f1171,plain,( 54.17/53.84 ( ! [X17:map_int_int] : (~mem(int,get(int,int,t2tb2(X17),t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK5) | eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~partial_solution1(n1,X17)) ) | ~spl30_2), 54.17/53.84 inference(forward_demodulation,[],[f1170,f509])). 54.17/53.84 tff(f509,plain,( 54.17/53.84 sK5 = sK11 | ~spl30_2), 54.17/53.84 inference(avatar_component_clause,[],[f508])). 54.17/53.84 tff(f1170,plain,( 54.17/53.84 ( ! [X17:map_int_int] : (~mem(int,get(int,int,t2tb2(X17),t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) ) | ~spl30_2), 54.17/53.84 inference(forward_demodulation,[],[f301,f509])). 54.17/53.84 tff(f301,plain,( 54.17/53.84 ( ! [X17:map_int_int] : (eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X17))),n1) | ~mem(int,get(int,int,t2tb2(X17),t2tb1(sK11)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X17),sK11) | ~partial_solution1(n1,X17)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f2129,plain,( 54.17/53.84 spl30_16 | spl30_206 | ~spl30_100), 54.17/53.84 inference(avatar_split_clause,[],[f995,f991,f2127,f557])). 54.17/53.84 tff(f2127,plain,( 54.17/53.84 spl30_206 <=> ! [X3 : $int,X2 : uni] : (t2tb1(min_elt1(sK8)) = get(int,int,X2,t2tb1(sK5)) | ~eq_prefix1(int,t2tb2(sK13),X2,X3) | ~$less(sK5,X3))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_206])])). 54.17/53.84 tff(f995,plain,( 54.17/53.84 ( ! [X2:uni,X3:$int] : (t2tb1(min_elt1(sK8)) = get(int,int,X2,t2tb1(sK5)) | ~$less(sK5,X3) | $less(sK5,0) | ~eq_prefix1(int,t2tb2(sK13),X2,X3)) ) | ~spl30_100), 54.17/53.84 inference(superposition,[],[f992,f429])). 54.17/53.84 tff(f2074,plain,( 54.17/53.84 spl30_16 | spl30_204 | ~spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f1189,f508,f2072,f557])). 54.17/53.84 tff(f2072,plain,( 54.17/53.84 spl30_204 <=> ! [X1 : uni,X0 : map_int_int,X2 : $int] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,X1,t2tb2(X0),X2) | ~$less(sK5,X2) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | ~partial_solution1(n1,X0) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_204])])). 54.17/53.84 tff(f1189,plain,( 54.17/53.84 ( ! [X2:$int,X0:map_int_int,X1:uni] : (~mem(int,get(int,int,X1,t2tb1(sK5)),diff(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)),t2tb(sK8))) | ~eq_prefix1(int,t2tb2(sK12),t2tb2(X0),sK5) | eq_prefix1(int,t2tb2(X0),get(map(int,int),int,t2tb3(sK10),t2tb1(sK17(X0))),n1) | ~partial_solution1(n1,X0) | ~$less(sK5,X2) | $less(sK5,0) | ~eq_prefix1(int,X1,t2tb2(X0),X2)) ) | ~spl30_2), 54.17/53.84 inference(superposition,[],[f1171,f429])). 54.17/53.84 tff(f2070,plain,( 54.17/53.84 spl30_16 | spl30_202 | ~spl30_100), 54.17/53.84 inference(avatar_split_clause,[],[f994,f991,f2068,f557])). 54.17/53.84 tff(f2068,plain,( 54.17/53.84 spl30_202 <=> ! [X1 : $int,X0 : uni] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~eq_prefix1(int,X0,t2tb2(sK13),X1) | ~$less(sK5,X1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_202])])). 54.17/53.84 tff(f994,plain,( 54.17/53.84 ( ! [X0:uni,X1:$int] : (t2tb1(min_elt1(sK8)) = get(int,int,X0,t2tb1(sK5)) | ~$less(sK5,X1) | $less(sK5,0) | ~eq_prefix1(int,X0,t2tb2(sK13),X1)) ) | ~spl30_100), 54.17/53.84 inference(superposition,[],[f992,f429])). 54.17/53.84 tff(f1856,plain,( 54.17/53.84 spl30_196 | ~spl30_199 | spl30_200 | ~spl30_42), 54.17/53.84 inference(avatar_split_clause,[],[f1826,f706,f1854,f1851,f1845])). 54.17/53.84 tff(f1845,plain,( 54.17/53.84 spl30_196 <=> mem(int,t2tb1(1),t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_196])])). 54.17/53.84 tff(f1851,plain,( 54.17/53.84 spl30_199 <=> 1 != sK5), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_199])])). 54.17/53.84 tff(f1854,plain,( 54.17/53.84 spl30_200 <=> ! [X1 : $int,X0 : uni,X2 : $int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | ~$less(tb2t1(X0),X2) | 1 != X2 | $less(tb2t1(X0),0) | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_200])])). 54.17/53.84 tff(f706,plain,( 54.17/53.84 spl30_42 <=> $sum(sK5,1) = sK14), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_42])])). 54.17/53.84 tff(f1826,plain,( 54.17/53.84 ( ! [X2:$int,X0:uni,X1:$int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | 1 != sK5 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | $less(tb2t1(X0),0) | 1 != X2 | ~$less(tb2t1(X0),X2) | mem(int,t2tb1(1),t2tb(sK2))) ) | ~spl30_42), 54.17/53.84 inference(evaluation,[],[f1825])). 54.17/53.84 tff(f1825,plain,( 54.17/53.84 ( ! [X2:$int,X0:uni,X1:$int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | 1 != sK5 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | $less(tb2t1(X0),0) | 1 != X2 | ~$less(tb2t1(X0),X2) | mem(int,t2tb1(1),t2tb(sK2)) | $less(1,0)) ) | ~spl30_42), 54.17/53.84 inference(inner_rewriting,[],[f1817])). 54.17/53.84 tff(f1817,plain,( 54.17/53.84 ( ! [X2:$int,X0:uni,X1:$int] : ($sum(sK14,$uminus(tb2t1(X0))) != X1 | 1 != sK5 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | $less(tb2t1(X0),0) | sK5 != X2 | ~$less(tb2t1(X0),X2) | mem(int,t2tb1(sK5),t2tb(sK2)) | $less(sK5,0)) ) | ~spl30_42), 54.17/53.84 inference(superposition,[],[f1081,f707])). 54.17/53.84 tff(f707,plain,( 54.17/53.84 $sum(sK5,1) = sK14 | ~spl30_42), 54.17/53.84 inference(avatar_component_clause,[],[f706])). 54.17/53.84 tff(f1081,plain,( 54.17/53.84 ( ! [X4:$int,X2:$int,X0:uni,X3:$int,X1:$int] : ($sum($sum(X3,X2),$uminus(tb2t1(X0))) != X1 | sK5 != X2 | tb2t1(get(int,int,t2tb2(sK6),X0)) != X1 | $less(tb2t1(X0),0) | sK5 != X4 | ~$less(tb2t1(X0),X4) | mem(int,t2tb1(X3),t2tb(sK2)) | $less(X3,0)) )), 54.17/53.84 inference(superposition,[],[f452,f322])). 54.17/53.84 tff(f452,plain,( 54.17/53.84 ( ! [X28:$int,X26:$int,X29:$int,X27:$int,X25:$int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != X27 | sK5 != X28 | $sum($sum(X25,X28),$uminus(X26)) != X27 | $less(X26,0) | sK5 != X29 | ~$less(X26,X29) | mem(int,t2tb1(X25),t2tb(sK2)) | $less(X25,0)) )), 54.17/53.84 inference(theory_flattening,[],[f281])). 54.17/53.84 tff(f281,plain,( 54.17/53.84 ( ! [X26:$int,X25:$int] : (tb2t1(get(int,int,t2tb2(sK6),t2tb1(X26))) != $sum($sum(X25,sK5),$uminus(X26)) | $less(X26,0) | ~$less(X26,sK5) | mem(int,t2tb1(X25),t2tb(sK2)) | $less(X25,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f1735,plain,( 54.17/53.84 spl30_14 | spl30_194 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f652,f643,f1733,f549])). 54.17/53.84 tff(f1733,plain,( 54.17/53.84 spl30_194 <=> ! [X11 : $int,X13 : $int,X12 : $int,X14 : $int] : (sK15 != X11 | ~partial_solution1(X14,sK13) | ~$less(X12,X14) | $less(X12,0) | ~$less(sK16,X12) | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X12))) != X13 | $sum(X12,$uminus(sK16)) != $sum(X13,$uminus(X11)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_194])])). 54.17/53.84 tff(f643,plain,( 54.17/53.84 spl30_34 <=> tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) = sK15), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_34])])). 54.17/53.84 tff(f652,plain,( 54.17/53.84 ( ! [X14:$int,X12:$int,X13:$int,X11:$int] : (sK15 != X11 | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X12))) != X13 | $sum(X12,$uminus(sK16)) != $sum(X13,$uminus(X11)) | ~$less(sK16,X12) | $less(sK16,0) | $less(X12,0) | ~$less(X12,X14) | ~partial_solution1(X14,sK13)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f474,f644])). 54.17/53.84 tff(f644,plain,( 54.17/53.84 tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) = sK15 | ~spl30_34), 54.17/53.84 inference(avatar_component_clause,[],[f643])). 54.17/53.84 tff(f474,plain,( 54.17/53.84 ( ! [X6:$int,X4:$int,X0:$int,X7:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X4,$uminus(X5)) != $sum(X6,$uminus(X7)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.84 inference(theory_flattening,[],[f348])). 54.17/53.84 tff(f348,plain,( 54.17/53.84 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : ($sum(X4,$uminus(X5)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f234])). 54.17/53.84 tff(f1731,plain,( 54.17/53.84 spl30_64 | spl30_190 | spl30_192), 54.17/53.84 inference(avatar_split_clause,[],[f970,f1729,f1723,f823])). 54.17/53.84 tff(f823,plain,( 54.17/53.84 spl30_64 <=> is_empty(int,t2tb(sK1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_64])])). 54.17/53.84 tff(f1723,plain,( 54.17/53.84 spl30_190 <=> $less(tb2t1(sK21(int,t2tb(sK1))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_190])])). 54.17/53.84 tff(f1729,plain,( 54.17/53.84 spl30_192 <=> $less(sK18(tb2t1(sK21(int,t2tb(sK1)))),sK5)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_192])])). 54.17/53.84 tff(f970,plain,( 54.17/53.84 $less(sK18(tb2t1(sK21(int,t2tb(sK1)))),sK5) | $less(tb2t1(sK21(int,t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 54.17/53.84 inference(resolution,[],[f958,f342])). 54.17/53.84 tff(f342,plain,( 54.17/53.84 ( ! [X0:ty,X1:uni] : (mem(X0,sK21(X0,X1),X1) | is_empty(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f229])). 54.17/53.84 tff(f229,plain,( 54.17/53.84 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1)))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 54.17/53.84 inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f173,f228])). 54.17/53.84 tff(f228,plain,( 54.17/53.84 ! [X1 : uni,X0 : ty] : (? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2)) => (mem(X0,sK21(X0,X1),X1) & sort1(X0,sK21(X0,X1))))), 54.17/53.84 introduced(choice_axiom,[])). 54.17/53.84 tff(f173,plain,( 54.17/53.84 ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) | ? [X2 : uni] : (mem(X0,X2,X1) & sort1(X0,X2))) & (! [X3 : uni] : ~mem(X0,X3,X1) | ~is_empty(X0,X1)))), 54.17/53.84 inference(ennf_transformation,[],[f117])). 54.17/53.84 tff(f117,plain,( 54.17/53.84 ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : (sort1(X0,X2) => ~mem(X0,X2,X1)) => is_empty(X0,X1)) & (is_empty(X0,X1) => ! [X3 : uni] : ~mem(X0,X3,X1)))), 54.17/53.84 inference(rectify,[],[f10])). 54.17/53.84 tff(f10,axiom,( 54.17/53.84 ! [X2 : ty,X0 : uni] : ((! [X1 : uni] : (sort1(X2,X1) => ~mem(X2,X1,X0)) => is_empty(X2,X0)) & (is_empty(X2,X0) => ! [X1 : uni] : ~mem(X2,X1,X0)))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def)). 54.17/53.84 tff(f958,plain,( 54.17/53.84 ( ! [X0:uni] : (~mem(int,X0,t2tb(sK1)) | $less(sK18(tb2t1(X0)),sK5) | $less(tb2t1(X0),0)) )), 54.17/53.84 inference(superposition,[],[f955,f322])). 54.17/53.84 tff(f955,plain,( 54.17/53.84 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK18(X0),sK5) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f872])). 54.17/53.84 tff(f872,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (sK5 != X1 | ~mem(int,t2tb1(X0),t2tb(sK1)) | $less(sK18(X0),X1) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f450])). 54.17/53.84 tff(f450,plain,( 54.17/53.84 ( ! [X24:$int,X23:$int,X22:$int] : (sK18(X22) != X23 | ~mem(int,t2tb1(X22),t2tb(sK1)) | sK5 != X24 | $less(X23,X24) | $less(X22,0)) )), 54.17/53.84 inference(theory_flattening,[],[f284])). 54.17/53.84 tff(f284,plain,( 54.17/53.84 ( ! [X22:$int] : (~mem(int,t2tb1(X22),t2tb(sK1)) | $less(sK18(X22),sK5) | $less(X22,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f1718,plain,( 54.17/53.84 spl30_64 | spl30_186 | spl30_188), 54.17/53.84 inference(avatar_split_clause,[],[f967,f1716,f1710,f823])). 54.17/53.84 tff(f1710,plain,( 54.17/53.84 spl30_186 <=> $less(tb2t1(choose(int,t2tb(sK1))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_186])])). 54.17/53.84 tff(f1716,plain,( 54.17/53.84 spl30_188 <=> $less(sK18(tb2t1(choose(int,t2tb(sK1)))),sK5)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_188])])). 54.17/53.84 tff(f967,plain,( 54.17/53.84 $less(sK18(tb2t1(choose(int,t2tb(sK1)))),sK5) | $less(tb2t1(choose(int,t2tb(sK1))),0) | is_empty(int,t2tb(sK1))), 54.17/53.84 inference(resolution,[],[f958,f343])). 54.17/53.84 tff(f343,plain,( 54.17/53.84 ( ! [X0:ty,X1:uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f174])). 54.17/53.84 tff(f174,plain,( 54.17/53.84 ! [X0 : ty,X1 : uni] : (mem(X0,choose(X0,X1),X1) | is_empty(X0,X1))), 54.17/53.84 inference(ennf_transformation,[],[f118])). 54.17/53.84 tff(f118,plain,( 54.17/53.84 ! [X0 : ty,X1 : uni] : (~is_empty(X0,X1) => mem(X0,choose(X0,X1),X1))), 54.17/53.84 inference(rectify,[],[f12])). 54.17/53.84 tff(f12,axiom,( 54.17/53.84 ! [X2 : ty,X0 : uni] : (~is_empty(X2,X0) => mem(X2,choose(X2,X0),X0))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choose_def)). 54.17/53.84 tff(f1693,plain,( 54.17/53.84 spl30_14 | spl30_184 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f651,f643,f1691,f549])). 54.17/53.84 tff(f1691,plain,( 54.17/53.84 spl30_184 <=> ! [X9 : $int,X7 : $int,X8 : $int,X10 : $int] : (sK15 != X7 | ~partial_solution1(X10,sK13) | ~$less(X8,X10) | $less(X8,0) | ~$less(sK16,X8) | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X8))) != X9 | $sum(sK16,$uminus(X8)) != $sum(X9,$uminus(X7)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_184])])). 54.17/53.84 tff(f651,plain,( 54.17/53.84 ( ! [X10:$int,X8:$int,X7:$int,X9:$int] : (sK15 != X7 | tb2t1(get(int,int,t2tb2(sK13),t2tb1(X8))) != X9 | $sum(sK16,$uminus(X8)) != $sum(X9,$uminus(X7)) | ~$less(sK16,X8) | $less(sK16,0) | $less(X8,0) | ~$less(X8,X10) | ~partial_solution1(X10,sK13)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f473,f644])). 54.17/53.84 tff(f473,plain,( 54.17/53.84 ( ! [X6:$int,X4:$int,X0:$int,X7:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) != X7 | tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != X6 | $sum(X5,$uminus(X4)) != $sum(X6,$uminus(X7)) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.84 inference(theory_flattening,[],[f349])). 54.17/53.84 tff(f349,plain,( 54.17/53.84 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : ($sum(X5,$uminus(X4)) != $sum(tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))),$uminus(tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))))) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f234])). 54.17/53.84 tff(f1689,plain,( 54.17/53.84 spl30_178 | ~spl30_181 | spl30_182 | ~spl30_36 | ~spl30_162), 54.17/53.84 inference(avatar_split_clause,[],[f1598,f1566,f661,f1687,f1684,f1678])). 54.17/53.84 tff(f1678,plain,( 54.17/53.84 spl30_178 <=> lt_sol1(sK13,sK13)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_178])])). 54.17/53.84 tff(f1687,plain,( 54.17/53.84 spl30_182 <=> ! [X1 : $int,X0 : $int] : (sK15 != X0 | sK15 != X1 | ~$less(X0,X1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_182])])). 54.17/53.84 tff(f1598,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (sK15 != X0 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16) | ~$less(X0,X1) | lt_sol1(sK13,sK13) | sK15 != X1) ) | (~spl30_36 | ~spl30_162)), 54.17/53.84 inference(forward_demodulation,[],[f1589,f320])). 54.17/53.84 tff(f1589,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (tb2t1(t2tb1(sK15)) != X0 | ~eq_prefix1(int,t2tb2(sK13),t2tb2(sK13),sK16) | ~$less(X0,X1) | lt_sol1(sK13,sK13) | sK15 != X1) ) | (~spl30_36 | ~spl30_162)), 54.17/53.84 inference(superposition,[],[f1567,f662])). 54.17/53.84 tff(f1660,plain,( 54.17/53.84 spl30_166 | ~spl30_177 | ~spl30_173 | ~spl30_175 | ~spl30_164), 54.17/53.84 inference(avatar_split_clause,[],[f1606,f1584,f1651,f1645,f1658,f1613])). 54.17/53.84 tff(f1613,plain,( 54.17/53.84 spl30_166 <=> $less(sK14,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_166])])). 54.17/53.84 tff(f1658,plain,( 54.17/53.84 spl30_177 <=> ~$less(sK20(sK14),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_177])])). 54.17/53.84 tff(f1645,plain,( 54.17/53.84 spl30_173 <=> ~$less(sK14,n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_173])])). 54.17/53.84 tff(f1651,plain,( 54.17/53.84 spl30_175 <=> ~is_empty(int,t2tb(pred1(sK0)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_175])])). 54.17/53.84 tff(f1584,plain,( 54.17/53.84 spl30_164 <=> ! [X3 : set_int,X2 : $int] : (sK14 != X2 | ~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK5),t2tb(pred1(X3))))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_164])])). 54.17/53.84 tff(f1606,plain,( 54.17/53.84 ~is_empty(int,t2tb(pred1(sK0))) | ~$less(sK14,n1) | ~$less(sK20(sK14),0) | $less(sK14,0) | ~spl30_164), 54.17/53.84 inference(resolution,[],[f1603,f1243])). 54.17/53.84 tff(f1243,plain,( 54.17/53.84 ( ! [X0:$int] : (mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,n1) | ~$less(sK20(X0),0) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f905])). 54.17/53.84 tff(f905,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (n1 != X0 | ~$less(X1,X0) | mem(int,t2tb1(X1),t2tb(sK0)) | ~$less(sK20(X1),0) | $less(X1,0)) )), 54.17/53.84 inference(equality_resolution,[],[f457])). 54.17/53.84 tff(f457,plain,( 54.17/53.84 ( ! [X30:$int,X28:$int,X29:$int] : (sK20(X28) != X30 | n1 != X29 | ~$less(X28,X29) | mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X30,0) | $less(X28,0)) )), 54.17/53.84 inference(theory_flattening,[],[f276])). 54.17/53.84 tff(f276,plain,( 54.17/53.84 ( ! [X28:$int] : (mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | ~$less(sK20(X28),0) | $less(X28,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f1603,plain,( 54.17/53.84 ( ! [X2:set_int] : (~mem(int,t2tb1(sK14),t2tb(X2)) | ~is_empty(int,t2tb(pred1(X2)))) ) | ~spl30_164), 54.17/53.84 inference(resolution,[],[f1587,f340])). 54.17/53.84 tff(f340,plain,( 54.17/53.84 ( ! [X0:ty,X3:uni,X1:uni] : (~mem(X0,X3,X1) | ~is_empty(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f229])). 54.17/53.84 tff(f1587,plain,( 54.17/53.84 ( ! [X0:set_int] : (mem(int,t2tb1(sK5),t2tb(pred1(X0))) | ~mem(int,t2tb1(sK14),t2tb(X0))) ) | ~spl30_164), 54.17/53.84 inference(equality_resolution,[],[f1585])). 54.17/53.84 tff(f1585,plain,( 54.17/53.84 ( ! [X2:$int,X3:set_int] : (sK14 != X2 | ~mem(int,t2tb1(X2),t2tb(X3)) | mem(int,t2tb1(sK5),t2tb(pred1(X3)))) ) | ~spl30_164), 54.17/53.84 inference(avatar_component_clause,[],[f1584])). 54.17/53.84 tff(f1653,plain,( 54.17/53.84 spl30_166 | spl30_170 | ~spl30_173 | ~spl30_175 | ~spl30_164), 54.17/53.84 inference(avatar_split_clause,[],[f1605,f1584,f1651,f1645,f1639,f1613])). 54.17/53.84 tff(f1639,plain,( 54.17/53.84 spl30_170 <=> $less(sK20(sK14),sK5)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_170])])). 54.17/53.84 tff(f1605,plain,( 54.17/53.84 ~is_empty(int,t2tb(pred1(sK0))) | ~$less(sK14,n1) | $less(sK20(sK14),sK5) | $less(sK14,0) | ~spl30_164), 54.17/53.84 inference(resolution,[],[f1603,f1561])). 54.17/53.84 tff(f1561,plain,( 54.17/53.84 ( ! [X0:$int] : (mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,n1) | $less(sK20(X0),sK5) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f1345])). 54.17/53.84 tff(f1345,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (n1 != X1 | mem(int,t2tb1(X0),t2tb(sK0)) | ~$less(X0,X1) | $less(sK20(X0),sK5) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f934])). 54.17/53.84 tff(f934,plain,( 54.17/53.84 ( ! [X2:$int,X0:$int,X1:$int] : (sK5 != X2 | ~$less(X1,X0) | mem(int,t2tb1(X1),t2tb(sK0)) | n1 != X0 | $less(sK20(X1),X2) | $less(X1,0)) )), 54.17/53.84 inference(equality_resolution,[],[f458])). 54.17/53.84 tff(f458,plain,( 54.17/53.84 ( ! [X30:$int,X28:$int,X31:$int,X29:$int] : (sK20(X28) != X30 | n1 != X29 | ~$less(X28,X29) | mem(int,t2tb1(X28),t2tb(sK0)) | sK5 != X31 | $less(X30,X31) | $less(X28,0)) )), 54.17/53.84 inference(theory_flattening,[],[f275])). 54.17/53.84 tff(f275,plain,( 54.17/53.84 ( ! [X28:$int] : (mem(int,t2tb1(X28),t2tb(sK0)) | ~$less(X28,n1) | $less(sK20(X28),sK5) | $less(X28,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f1618,plain,( 54.17/53.84 spl30_166 | spl30_168 | ~spl30_164), 54.17/53.84 inference(avatar_split_clause,[],[f1604,f1584,f1616,f1613])). 54.17/53.84 tff(f1616,plain,( 54.17/53.84 spl30_168 <=> ! [X0 : $int] : (~is_empty(int,t2tb(pred1(below1(X0)))) | ~$less(sK14,X0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_168])])). 54.17/53.84 tff(f1604,plain,( 54.17/53.84 ( ! [X0:$int] : (~is_empty(int,t2tb(pred1(below1(X0)))) | $less(sK14,0) | ~$less(sK14,X0)) ) | ~spl30_164), 54.17/53.84 inference(resolution,[],[f1603,f366])). 54.17/53.84 tff(f366,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (mem(int,t2tb1(X0),t2tb(below1(X1))) | $less(X0,0) | ~$less(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f241])). 54.17/53.84 tff(f241,plain,( 54.17/53.84 ! [X0 : $int,X1 : $int] : (((~$less(X0,0) & $less(X0,X1)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | $less(X0,0) | ~$less(X0,X1)))), 54.17/53.84 inference(flattening,[],[f240])). 54.17/53.84 tff(f240,plain,( 54.17/53.84 ! [X0 : $int,X1 : $int] : (((~$less(X0,0) & $less(X0,X1)) | ~mem(int,t2tb1(X0),t2tb(below1(X1)))) & (mem(int,t2tb1(X0),t2tb(below1(X1))) | ($less(X0,0) | ~$less(X0,X1))))), 54.17/53.84 inference(nnf_transformation,[],[f129])). 54.17/53.84 tff(f129,plain,( 54.17/53.84 ! [X0 : $int,X1 : $int] : ((~$less(X0,0) & $less(X0,X1)) <=> mem(int,t2tb1(X0),t2tb(below1(X1))))), 54.17/53.84 inference(rectify,[],[f86])). 54.17/53.84 tff(f86,plain,( 54.17/53.84 ! [X1 : $int,X13 : $int] : ((~$less(X1,0) & $less(X1,X13)) <=> mem(int,t2tb1(X1),t2tb(below1(X13))))), 54.17/53.84 inference(evaluation,[],[f20])). 54.17/53.84 tff(f20,axiom,( 54.17/53.84 ! [X1 : $int,X13 : $int] : (($lesseq(0,X1) & $less(X1,X13)) <=> mem(int,t2tb1(X1),t2tb(below1(X13))))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',below_def)). 54.17/53.84 tff(f1586,plain,( 54.17/53.84 spl30_16 | spl30_164 | ~spl30_42), 54.17/53.84 inference(avatar_split_clause,[],[f710,f706,f1584,f557])). 54.17/53.84 tff(f710,plain,( 54.17/53.84 ( ! [X2:$int,X3:set_int] : (sK14 != X2 | mem(int,t2tb1(sK5),t2tb(pred1(X3))) | ~mem(int,t2tb1(X2),t2tb(X3)) | $less(sK5,0)) ) | ~spl30_42), 54.17/53.84 inference(superposition,[],[f479,f707])). 54.17/53.84 tff(f479,plain,( 54.17/53.84 ( ! [X2:$int,X0:set_int,X1:$int] : ($sum(X1,1) != X2 | mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1(X2),t2tb(X0)) | $less(X1,0)) )), 54.17/53.84 inference(theory_flattening,[],[f363])). 54.17/53.84 tff(f363,plain,( 54.17/53.84 ( ! [X0:set_int,X1:$int] : (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f239])). 54.17/53.84 tff(f239,plain,( 54.17/53.84 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | ~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0)))), 54.17/53.84 inference(flattening,[],[f238])). 54.17/53.84 tff(f238,plain,( 54.17/53.84 ! [X0 : set_int,X1 : $int] : (((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) | ~mem(int,t2tb1(X1),t2tb(pred1(X0)))) & (mem(int,t2tb1(X1),t2tb(pred1(X0))) | (~mem(int,t2tb1($sum(X1,1)),t2tb(X0)) | $less(X1,0))))), 54.17/53.84 inference(nnf_transformation,[],[f128])). 54.17/53.84 tff(f128,plain,( 54.17/53.84 ! [X0 : set_int,X1 : $int] : ((mem(int,t2tb1($sum(X1,1)),t2tb(X0)) & ~$less(X1,0)) <=> mem(int,t2tb1(X1),t2tb(pred1(X0))))), 54.17/53.84 inference(rectify,[],[f85])). 54.17/53.84 tff(f85,plain,( 54.17/53.84 ! [X0 : set_int,X6 : $int] : ((mem(int,t2tb1($sum(X6,1)),t2tb(X0)) & ~$less(X6,0)) <=> mem(int,t2tb1(X6),t2tb(pred1(X0))))), 54.17/53.84 inference(evaluation,[],[f54])). 54.17/53.84 tff(f54,axiom,( 54.17/53.84 ! [X0 : set_int,X6 : $int] : ((mem(int,t2tb1($sum(X6,1)),t2tb(X0)) & $lesseq(0,X6)) <=> mem(int,t2tb1(X6),t2tb(pred1(X0))))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_def)). 54.17/53.84 tff(f1568,plain,( 54.17/53.84 spl30_14 | spl30_160 | spl30_162 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f654,f643,f1566,f1563,f549])). 54.17/53.84 tff(f1563,plain,( 54.17/53.84 spl30_160 <=> ! [X18 : $int] : (n1 != X18 | ~$less(sK16,X18))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_160])])). 54.17/53.84 tff(f654,plain,( 54.17/53.84 ( ! [X19:map_int_int,X17:$int,X20:$int,X18:$int] : (sK15 != X17 | n1 != X18 | ~$less(sK16,X18) | ~eq_prefix1(int,t2tb2(X19),t2tb2(sK13),sK16) | tb2t1(get(int,int,t2tb2(X19),t2tb1(sK16))) != X20 | lt_sol1(X19,sK13) | ~$less(X20,X17) | $less(sK16,0)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f483,f644])). 54.17/53.84 tff(f483,plain,( 54.17/53.84 ( ! [X6:$int,X4:$int,X0:map_int_int,X5:$int,X3:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X3))) != X6 | n1 != X4 | ~$less(X3,X4) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))) != X5 | lt_sol1(X0,X1) | ~$less(X5,X6) | $less(X3,0)) )), 54.17/53.84 inference(theory_flattening,[],[f369])). 54.17/53.84 tff(f369,plain,( 54.17/53.84 ( ! [X0:map_int_int,X3:$int,X1:map_int_int] : (lt_sol1(X0,X1) | ~$less(X3,n1) | ~eq_prefix1(int,t2tb2(X0),t2tb2(X1),X3) | ~$less(tb2t1(get(int,int,t2tb2(X0),t2tb1(X3))),tb2t1(get(int,int,t2tb2(X1),t2tb1(X3)))) | $less(X3,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f245])). 54.17/53.84 tff(f1450,plain,( 54.17/53.84 ~spl30_159 | spl30_150 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1045,f788,f1269,f1448])). 54.17/53.84 tff(f1448,plain,( 54.17/53.84 spl30_159 <=> ~is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_159])])). 54.17/53.84 tff(f1269,plain,( 54.17/53.84 spl30_150 <=> ! [X2 : uni] : ~mem(int,X2,t2tb(sK8))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_150])])). 54.17/53.84 tff(f1045,plain,( 54.17/53.84 ( ! [X2:uni] : (~mem(int,X2,t2tb(sK8)) | ~is_empty(int,diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))) ) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f792,f340])). 54.17/53.84 tff(f1400,plain,( 54.17/53.84 spl30_14 | spl30_156 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f649,f643,f1398,f549])). 54.17/53.84 tff(f1398,plain,( 54.17/53.84 spl30_156 <=> ! [X3 : $int,X2 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) != sK15 | ~partial_solution1(X3,sK13) | ~$less(X2,X3) | $less(X2,0) | ~$less(sK16,X2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_156])])). 54.17/53.84 tff(f649,plain,( 54.17/53.84 ( ! [X2:$int,X3:$int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X2))) != sK15 | ~$less(sK16,X2) | $less(sK16,0) | $less(X2,0) | ~$less(X2,X3) | ~partial_solution1(X3,sK13)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f350,f644])). 54.17/53.84 tff(f350,plain,( 54.17/53.84 ( ! [X4:$int,X0:$int,X5:$int,X1:map_int_int] : (tb2t1(get(int,int,t2tb2(X1),t2tb1(X4))) != tb2t1(get(int,int,t2tb2(X1),t2tb1(X5))) | ~$less(X5,X4) | $less(X5,0) | $less(X4,0) | ~$less(X4,X0) | ~partial_solution1(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f234])). 54.17/53.84 tff(f1310,plain,( 54.17/53.84 spl30_14 | spl30_154 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f647,f643,f1308,f549])). 54.17/53.84 tff(f647,plain,( 54.17/53.84 ( ! [X2:uni,X3:$int] : (tb2t1(get(int,int,X2,t2tb1(sK16))) = sK15 | ~$less(sK16,X3) | $less(sK16,0) | ~eq_prefix1(int,t2tb2(sK13),X2,X3)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f644,f429])). 54.17/53.84 tff(f1301,plain,( 54.17/53.84 spl30_152 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1294,f788,f1299])). 54.17/53.84 tff(f1299,plain,( 54.17/53.84 spl30_152 <=> subset(int,t2tb(sK8),t2tb(sK0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_152])])). 54.17/53.84 tff(f1294,plain,( 54.17/53.84 subset(int,t2tb(sK8),t2tb(sK0)) | ~spl30_58), 54.17/53.84 inference(duplicate_literal_removal,[],[f1292])). 54.17/53.84 tff(f1292,plain,( 54.17/53.84 subset(int,t2tb(sK8),t2tb(sK0)) | subset(int,t2tb(sK8),t2tb(sK0)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1104,f391])). 54.17/53.84 tff(f1104,plain,( 54.17/53.84 ( ! [X1:uni] : (mem(int,sK26(int,t2tb(sK8),X1),t2tb(sK0)) | subset(int,t2tb(sK8),X1)) ) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1094,f390])). 54.17/53.84 tff(f1271,plain,( 54.17/53.84 ~spl30_149 | spl30_150 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1096,f788,f1269,f1266])). 54.17/53.84 tff(f1266,plain,( 54.17/53.84 spl30_149 <=> ~is_empty(int,diff(int,t2tb(sK0),t2tb(sK1)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_149])])). 54.17/53.84 tff(f1096,plain,( 54.17/53.84 ( ! [X2:uni] : (~mem(int,X2,t2tb(sK8)) | ~is_empty(int,diff(int,t2tb(sK0),t2tb(sK1)))) ) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1043,f340])). 54.17/53.84 tff(f1261,plain,( 54.17/53.84 spl30_14 | spl30_146 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f646,f643,f1259,f549])). 54.17/53.84 tff(f646,plain,( 54.17/53.84 ( ! [X0:uni,X1:$int] : (tb2t1(get(int,int,X0,t2tb1(sK16))) = sK15 | ~$less(sK16,X1) | $less(sK16,0) | ~eq_prefix1(int,X0,t2tb2(sK13),X1)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f644,f429])). 54.17/53.84 tff(f1257,plain,( 54.17/53.84 spl30_12 | ~spl30_145 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1110,f788,f1255,f541])). 54.17/53.84 tff(f541,plain,( 54.17/53.84 spl30_12 <=> is_empty(int,t2tb(sK8))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_12])])). 54.17/53.84 tff(f1255,plain,( 54.17/53.84 spl30_145 <=> ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_145])])). 54.17/53.84 tff(f1110,plain,( 54.17/53.84 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1095,f342])). 54.17/53.84 tff(f1250,plain,( 54.17/53.84 spl30_12 | ~spl30_143 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1107,f788,f1248,f541])). 54.17/53.84 tff(f1248,plain,( 54.17/53.84 spl30_143 <=> ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_143])])). 54.17/53.84 tff(f1107,plain,( 54.17/53.84 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1095,f343])). 54.17/53.84 tff(f1242,plain,( 54.17/53.84 ~spl30_141 | ~spl30_136), 54.17/53.84 inference(avatar_split_clause,[],[f1227,f1222,f1240])). 54.17/53.84 tff(f1240,plain,( 54.17/53.84 spl30_141 <=> ~$less(tb2t1(sK21(int,t2tb(sK8))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_141])])). 54.17/53.84 tff(f1222,plain,( 54.17/53.84 spl30_136 <=> mem(int,sK21(int,t2tb(sK8)),t2tb(sK0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_136])])). 54.17/53.84 tff(f1227,plain,( 54.17/53.84 ~$less(tb2t1(sK21(int,t2tb(sK8))),0) | ~spl30_136), 54.17/53.84 inference(resolution,[],[f1223,f582])). 54.17/53.84 tff(f1223,plain,( 54.17/53.84 mem(int,sK21(int,t2tb(sK8)),t2tb(sK0)) | ~spl30_136), 54.17/53.84 inference(avatar_component_clause,[],[f1222])). 54.17/53.84 tff(f1235,plain,( 54.17/53.84 spl30_138 | ~spl30_136), 54.17/53.84 inference(avatar_split_clause,[],[f1226,f1222,f1233])). 54.17/53.84 tff(f1233,plain,( 54.17/53.84 spl30_138 <=> $less(tb2t1(sK21(int,t2tb(sK8))),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_138])])). 54.17/53.84 tff(f1226,plain,( 54.17/53.84 $less(tb2t1(sK21(int,t2tb(sK8))),n1) | ~spl30_136), 54.17/53.84 inference(resolution,[],[f1223,f723])). 54.17/53.84 tff(f1224,plain,( 54.17/53.84 spl30_12 | spl30_136 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1102,f788,f1222,f541])). 54.17/53.84 tff(f1102,plain,( 54.17/53.84 mem(int,sK21(int,t2tb(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1094,f342])). 54.17/53.84 tff(f1217,plain,( 54.17/53.84 ~spl30_135 | ~spl30_130), 54.17/53.84 inference(avatar_split_clause,[],[f1201,f1197,f1215])). 54.17/53.84 tff(f1215,plain,( 54.17/53.84 spl30_135 <=> ~$less(tb2t1(choose(int,t2tb(sK8))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_135])])). 54.17/53.84 tff(f1197,plain,( 54.17/53.84 spl30_130 <=> mem(int,choose(int,t2tb(sK8)),t2tb(sK0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_130])])). 54.17/53.84 tff(f1201,plain,( 54.17/53.84 ~$less(tb2t1(choose(int,t2tb(sK8))),0) | ~spl30_130), 54.17/53.84 inference(resolution,[],[f1198,f582])). 54.17/53.84 tff(f1198,plain,( 54.17/53.84 mem(int,choose(int,t2tb(sK8)),t2tb(sK0)) | ~spl30_130), 54.17/53.84 inference(avatar_component_clause,[],[f1197])). 54.17/53.84 tff(f1209,plain,( 54.17/53.84 spl30_132 | ~spl30_130), 54.17/53.84 inference(avatar_split_clause,[],[f1200,f1197,f1207])). 54.17/53.84 tff(f1207,plain,( 54.17/53.84 spl30_132 <=> $less(tb2t1(choose(int,t2tb(sK8))),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_132])])). 54.17/53.84 tff(f1200,plain,( 54.17/53.84 $less(tb2t1(choose(int,t2tb(sK8))),n1) | ~spl30_130), 54.17/53.84 inference(resolution,[],[f1198,f723])). 54.17/53.84 tff(f1199,plain,( 54.17/53.84 spl30_12 | spl30_130 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1099,f788,f1197,f541])). 54.17/53.84 tff(f1099,plain,( 54.17/53.84 mem(int,choose(int,t2tb(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1094,f343])). 54.17/53.84 tff(f1185,plain,( 54.17/53.84 spl30_12 | ~spl30_129 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1109,f788,f1183,f541])). 54.17/53.84 tff(f1183,plain,( 54.17/53.84 spl30_129 <=> ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_129])])). 54.17/53.84 tff(f1109,plain,( 54.17/53.84 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1095,f332])). 54.17/53.84 tff(f332,plain,( 54.17/53.84 ( ! [X0:set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 54.17/53.84 inference(cnf_transformation,[],[f170])). 54.17/53.84 tff(f170,plain,( 54.17/53.84 ! [X0 : set_int] : (mem(int,t2tb1(max_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 54.17/53.84 inference(ennf_transformation,[],[f40])). 54.17/53.84 tff(f40,axiom,( 54.17/53.84 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(max_elt1(X0)),t2tb(X0)))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_elt_def1)). 54.17/53.84 tff(f1178,plain,( 54.17/53.84 spl30_12 | ~spl30_127 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1108,f788,f1176,f541])). 54.17/53.84 tff(f1176,plain,( 54.17/53.84 spl30_127 <=> ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_127])])). 54.17/53.84 tff(f1108,plain,( 54.17/53.84 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK1)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1095,f331])). 54.17/53.84 tff(f331,plain,( 54.17/53.84 ( ! [X0:set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0))) )), 54.17/53.84 inference(cnf_transformation,[],[f169])). 54.17/53.84 tff(f169,plain,( 54.17/53.84 ! [X0 : set_int] : (mem(int,t2tb1(min_elt1(X0)),t2tb(X0)) | is_empty(int,t2tb(X0)))), 54.17/53.84 inference(ennf_transformation,[],[f30])). 54.17/53.84 tff(f30,axiom,( 54.17/53.84 ! [X0 : set_int] : (~is_empty(int,t2tb(X0)) => mem(int,t2tb1(min_elt1(X0)),t2tb(X0)))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_elt_def1)). 54.17/53.84 tff(f1169,plain,( 54.17/53.84 ~spl30_125 | ~spl30_120), 54.17/53.84 inference(avatar_split_clause,[],[f1152,f1143,f1165])). 54.17/53.84 tff(f1165,plain,( 54.17/53.84 spl30_125 <=> ~$less(max_elt1(sK8),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_125])])). 54.17/53.84 tff(f1143,plain,( 54.17/53.84 spl30_120 <=> mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_120])])). 54.17/53.84 tff(f1152,plain,( 54.17/53.84 ~$less(max_elt1(sK8),0) | ~spl30_120), 54.17/53.84 inference(forward_demodulation,[],[f1149,f320])). 54.17/53.84 tff(f1149,plain,( 54.17/53.84 ~$less(tb2t1(t2tb1(max_elt1(sK8))),0) | ~spl30_120), 54.17/53.84 inference(resolution,[],[f1144,f582])). 54.17/53.84 tff(f1144,plain,( 54.17/53.84 mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0)) | ~spl30_120), 54.17/53.84 inference(avatar_component_clause,[],[f1143])). 54.17/53.84 tff(f1168,plain,( 54.17/53.84 spl30_122 | ~spl30_120), 54.17/53.84 inference(avatar_split_clause,[],[f1151,f1143,f1157])). 54.17/53.84 tff(f1157,plain,( 54.17/53.84 spl30_122 <=> $less(max_elt1(sK8),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_122])])). 54.17/53.84 tff(f1151,plain,( 54.17/53.84 $less(max_elt1(sK8),n1) | ~spl30_120), 54.17/53.84 inference(forward_demodulation,[],[f1148,f320])). 54.17/53.84 tff(f1148,plain,( 54.17/53.84 $less(tb2t1(t2tb1(max_elt1(sK8))),n1) | ~spl30_120), 54.17/53.84 inference(resolution,[],[f1144,f723])). 54.17/53.84 tff(f1167,plain,( 54.17/53.84 ~spl30_125 | ~spl30_120), 54.17/53.84 inference(avatar_split_clause,[],[f1147,f1143,f1165])). 54.17/53.84 tff(f1147,plain,( 54.17/53.84 ~$less(max_elt1(sK8),0) | ~spl30_120), 54.17/53.84 inference(resolution,[],[f1144,f272])). 54.17/53.84 tff(f1159,plain,( 54.17/53.84 spl30_122 | ~spl30_120), 54.17/53.84 inference(avatar_split_clause,[],[f1146,f1143,f1157])). 54.17/53.84 tff(f1146,plain,( 54.17/53.84 $less(max_elt1(sK8),n1) | ~spl30_120), 54.17/53.84 inference(resolution,[],[f1144,f712])). 54.17/53.84 tff(f1145,plain,( 54.17/53.84 spl30_12 | spl30_120 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1101,f788,f1143,f541])). 54.17/53.84 tff(f1101,plain,( 54.17/53.84 mem(int,t2tb1(max_elt1(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1094,f332])). 54.17/53.84 tff(f1137,plain,( 54.17/53.84 spl30_118 | ~spl30_116), 54.17/53.84 inference(avatar_split_clause,[],[f1125,f1117,f1131])). 54.17/53.84 tff(f1131,plain,( 54.17/53.84 spl30_118 <=> $less(min_elt1(sK8),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_118])])). 54.17/53.84 tff(f1125,plain,( 54.17/53.84 $less(min_elt1(sK8),n1) | ~spl30_116), 54.17/53.84 inference(forward_demodulation,[],[f1122,f320])). 54.17/53.84 tff(f1122,plain,( 54.17/53.84 $less(tb2t1(t2tb1(min_elt1(sK8))),n1) | ~spl30_116), 54.17/53.84 inference(resolution,[],[f1118,f723])). 54.17/53.84 tff(f1136,plain,( 54.17/53.84 ~spl30_107 | ~spl30_116), 54.17/53.84 inference(avatar_split_clause,[],[f1121,f1117,f1027])). 54.17/53.84 tff(f1027,plain,( 54.17/53.84 spl30_107 <=> ~$less(min_elt1(sK8),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_107])])). 54.17/53.84 tff(f1121,plain,( 54.17/53.84 ~$less(min_elt1(sK8),0) | ~spl30_116), 54.17/53.84 inference(resolution,[],[f1118,f272])). 54.17/53.84 tff(f1133,plain,( 54.17/53.84 spl30_118 | ~spl30_116), 54.17/53.84 inference(avatar_split_clause,[],[f1120,f1117,f1131])). 54.17/53.84 tff(f1120,plain,( 54.17/53.84 $less(min_elt1(sK8),n1) | ~spl30_116), 54.17/53.84 inference(resolution,[],[f1118,f712])). 54.17/53.84 tff(f1119,plain,( 54.17/53.84 spl30_12 | spl30_116 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1100,f788,f1117,f541])). 54.17/53.84 tff(f1100,plain,( 54.17/53.84 mem(int,t2tb1(min_elt1(sK8)),t2tb(sK0)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1094,f331])). 54.17/53.84 tff(f1093,plain,( 54.17/53.84 spl30_12 | ~spl30_115 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1051,f788,f1091,f541])). 54.17/53.84 tff(f1091,plain,( 54.17/53.84 spl30_115 <=> ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_115])])). 54.17/53.84 tff(f1051,plain,( 54.17/53.84 ~mem(int,sK21(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1044,f342])). 54.17/53.84 tff(f1080,plain,( 54.17/53.84 spl30_12 | ~spl30_113 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1048,f788,f1078,f541])). 54.17/53.84 tff(f1078,plain,( 54.17/53.84 spl30_113 <=> ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_113])])). 54.17/53.84 tff(f1048,plain,( 54.17/53.84 ~mem(int,choose(int,t2tb(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1044,f343])). 54.17/53.84 tff(f1073,plain,( 54.17/53.84 spl30_12 | ~spl30_111 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1050,f788,f1071,f541])). 54.17/53.84 tff(f1071,plain,( 54.17/53.84 spl30_111 <=> ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_111])])). 54.17/53.84 tff(f1050,plain,( 54.17/53.84 ~mem(int,t2tb1(max_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1044,f332])). 54.17/53.84 tff(f1060,plain,( 54.17/53.84 spl30_12 | ~spl30_109 | ~spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f1049,f788,f1058,f541])). 54.17/53.84 tff(f1058,plain,( 54.17/53.84 spl30_109 <=> ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_109])])). 54.17/53.84 tff(f1049,plain,( 54.17/53.84 ~mem(int,t2tb1(min_elt1(sK8)),t2tb(sK2)) | is_empty(int,t2tb(sK8)) | ~spl30_58), 54.17/53.84 inference(resolution,[],[f1044,f331])). 54.17/53.84 tff(f1029,plain,( 54.17/53.84 ~spl30_107 | ~spl30_104), 54.17/53.84 inference(avatar_split_clause,[],[f1022,f1019,f1027])). 54.17/53.84 tff(f1019,plain,( 54.17/53.84 spl30_104 <=> ! [X15 : $int] : (min_elt1(sK8) != X15 | ~$less(X15,0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_104])])). 54.17/53.84 tff(f1022,plain,( 54.17/53.84 ~$less(min_elt1(sK8),0) | ~spl30_104), 54.17/53.84 inference(equality_resolution,[],[f1020])). 54.17/53.84 tff(f1020,plain,( 54.17/53.84 ( ! [X15:$int] : (min_elt1(sK8) != X15 | ~$less(X15,0)) ) | ~spl30_104), 54.17/53.84 inference(avatar_component_clause,[],[f1019])). 54.17/53.84 tff(f1021,plain,( 54.17/53.84 spl30_102 | spl30_16 | spl30_104 | ~spl30_100), 54.17/53.84 inference(avatar_split_clause,[],[f1011,f991,f1019,f557,f1016])). 54.17/53.84 tff(f1016,plain,( 54.17/53.84 spl30_102 <=> ! [X16 : $int] : (~$less(sK5,X16) | ~partial_solution1(X16,sK13))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_102])])). 54.17/53.84 tff(f1011,plain,( 54.17/53.84 ( ! [X15:$int,X16:$int] : (min_elt1(sK8) != X15 | ~$less(X15,0) | $less(sK5,0) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_100), 54.17/53.84 inference(forward_demodulation,[],[f1001,f320])). 54.17/53.84 tff(f1001,plain,( 54.17/53.84 ( ! [X15:$int,X16:$int] : (tb2t1(t2tb1(min_elt1(sK8))) != X15 | ~$less(X15,0) | $less(sK5,0) | ~$less(sK5,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_100), 54.17/53.84 inference(superposition,[],[f475,f992])). 54.17/53.84 tff(f993,plain,( 54.17/53.84 ~spl30_93 | spl30_100 | ~spl30_56), 54.17/53.84 inference(avatar_split_clause,[],[f781,f778,f991,f923])). 54.17/53.84 tff(f923,plain,( 54.17/53.84 spl30_93 <=> ~sort1(int,t2tb1(min_elt1(sK8)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_93])])). 54.17/53.84 tff(f781,plain,( 54.17/53.84 t2tb1(min_elt1(sK8)) = get(int,int,t2tb2(sK13),t2tb1(sK5)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~spl30_56), 54.17/53.84 inference(superposition,[],[f436,f779])). 54.17/53.84 tff(f436,plain,( 54.17/53.84 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X1:ty] : (get(X1,X0,set1(X1,X0,X2,X4,X5),X4) = X5 | ~sort1(X1,X5)) )), 54.17/53.84 inference(equality_resolution,[],[f432])). 54.17/53.84 tff(f432,plain,( 54.17/53.84 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5)) )), 54.17/53.84 inference(cnf_transformation,[],[f213])). 54.17/53.84 tff(f213,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort1(X1,X5))), 54.17/53.84 inference(flattening,[],[f212])). 54.17/53.84 tff(f212,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort1(X1,X5))), 54.17/53.84 inference(ennf_transformation,[],[f165])). 54.17/53.84 tff(f165,plain,( 54.17/53.84 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort1(X1,X5) => (X3 = X4 => get(X1,X0,set1(X1,X0,X2,X3,X5),X4) = X5))), 54.17/53.84 inference(rectify,[],[f32])). 54.17/53.84 tff(f32,axiom,( 54.17/53.84 ! [X2 : ty,X9 : ty,X27 : uni,X28 : uni,X29 : uni,X30 : uni] : (sort1(X9,X30) => (X28 = X29 => get(X9,X2,set1(X9,X2,X27,X28,X30),X29) = X30))), 54.17/53.84 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 54.17/53.84 tff(f965,plain,( 54.17/53.84 spl30_64 | spl30_66 | spl30_98), 54.17/53.84 inference(avatar_split_clause,[],[f956,f963,f829,f823])). 54.17/53.84 tff(f829,plain,( 54.17/53.84 spl30_66 <=> $less(min_elt1(sK1),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_66])])). 54.17/53.84 tff(f963,plain,( 54.17/53.84 spl30_98 <=> $less(sK18(min_elt1(sK1)),sK5)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_98])])). 54.17/53.84 tff(f956,plain,( 54.17/53.84 $less(sK18(min_elt1(sK1)),sK5) | $less(min_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 54.17/53.84 inference(resolution,[],[f955,f331])). 54.17/53.84 tff(f951,plain,( 54.17/53.84 ~spl30_87 | ~spl30_94), 54.17/53.84 inference(avatar_split_clause,[],[f938,f929,f901])). 54.17/53.84 tff(f901,plain,( 54.17/53.84 spl30_87 <=> ~$less(sK15,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_87])])). 54.17/53.84 tff(f938,plain,( 54.17/53.84 ~$less(sK15,0) | ~spl30_94), 54.17/53.84 inference(resolution,[],[f930,f272])). 54.17/53.84 tff(f950,plain,( 54.17/53.84 spl30_96 | ~spl30_94), 54.17/53.84 inference(avatar_split_clause,[],[f937,f929,f948])). 54.17/53.84 tff(f948,plain,( 54.17/53.84 spl30_96 <=> $less(sK15,n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_96])])). 54.17/53.84 tff(f937,plain,( 54.17/53.84 $less(sK15,n1) | ~spl30_94), 54.17/53.84 inference(resolution,[],[f930,f712])). 54.17/53.84 tff(f936,plain,( 54.17/53.84 spl30_93), 54.17/53.84 inference(avatar_contradiction_clause,[],[f935])). 54.17/53.84 tff(f935,plain,( 54.17/53.84 $false | ~spl30_93), 54.17/53.84 inference(resolution,[],[f924,f313])). 54.17/53.84 tff(f924,plain,( 54.17/53.84 ~sort1(int,t2tb1(min_elt1(sK8))) | ~spl30_93), 54.17/53.84 inference(avatar_component_clause,[],[f923])). 54.17/53.84 tff(f933,plain,( 54.17/53.84 spl30_91), 54.17/53.84 inference(avatar_contradiction_clause,[],[f932])). 54.17/53.84 tff(f932,plain,( 54.17/53.84 $false | ~spl30_91), 54.17/53.84 inference(resolution,[],[f918,f313])). 54.17/53.84 tff(f918,plain,( 54.17/53.84 ~sort1(int,t2tb1(sK15)) | ~spl30_91), 54.17/53.84 inference(avatar_component_clause,[],[f917])). 54.17/53.84 tff(f931,plain,( 54.17/53.84 ~spl30_91 | ~spl30_93 | spl30_94 | ~spl30_38), 54.17/53.84 inference(avatar_split_clause,[],[f691,f687,f929,f923,f917])). 54.17/53.84 tff(f691,plain,( 54.17/53.84 mem(int,t2tb1(sK15),t2tb(sK0)) | ~sort1(int,t2tb1(min_elt1(sK8))) | ~sort1(int,t2tb1(sK15)) | ~spl30_38), 54.17/53.84 inference(resolution,[],[f688,f414])). 54.17/53.84 tff(f414,plain,( 54.17/53.84 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,remove(X0,X2,X3)) | mem(X0,X1,X3) | ~sort1(X0,X2) | ~sort1(X0,X1)) )), 54.17/53.84 inference(cnf_transformation,[],[f259])). 54.17/53.84 tff(f912,plain,( 54.17/53.84 ~spl30_89 | ~spl30_28 | ~spl30_82), 54.17/53.84 inference(avatar_split_clause,[],[f904,f890,f612,f910])). 54.17/53.84 tff(f910,plain,( 54.17/53.84 spl30_89 <=> ~partial_solution1(sK14,sK13)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_89])])). 54.17/53.84 tff(f890,plain,( 54.17/53.84 spl30_82 <=> ! [X16 : $int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK13))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_82])])). 54.17/53.84 tff(f904,plain,( 54.17/53.84 ~partial_solution1(sK14,sK13) | (~spl30_28 | ~spl30_82)), 54.17/53.84 inference(resolution,[],[f891,f613])). 54.17/53.84 tff(f891,plain,( 54.17/53.84 ( ! [X16:$int] : (~$less(sK16,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_82), 54.17/53.84 inference(avatar_component_clause,[],[f890])). 54.17/53.84 tff(f903,plain,( 54.17/53.84 ~spl30_87 | ~spl30_84), 54.17/53.84 inference(avatar_split_clause,[],[f896,f893,f901])). 54.17/53.84 tff(f896,plain,( 54.17/53.84 ~$less(sK15,0) | ~spl30_84), 54.17/53.84 inference(equality_resolution,[],[f894])). 54.17/53.84 tff(f894,plain,( 54.17/53.84 ( ! [X15:$int] : (sK15 != X15 | ~$less(X15,0)) ) | ~spl30_84), 54.17/53.84 inference(avatar_component_clause,[],[f893])). 54.17/53.84 tff(f895,plain,( 54.17/53.84 spl30_82 | spl30_14 | spl30_84 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f653,f643,f893,f549,f890])). 54.17/53.84 tff(f653,plain,( 54.17/53.84 ( ! [X15:$int,X16:$int] : (sK15 != X15 | ~$less(X15,0) | $less(sK16,0) | ~$less(sK16,X16) | ~partial_solution1(X16,sK13)) ) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f475,f644])). 54.17/53.84 tff(f882,plain,( 54.17/53.84 spl30_80), 54.17/53.84 inference(avatar_split_clause,[],[f874,f880])). 54.17/53.84 tff(f880,plain,( 54.17/53.84 spl30_80 <=> n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_80])])). 54.17/53.84 tff(f874,plain,( 54.17/53.84 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 54.17/53.84 inference(equality_resolution,[],[f873])). 54.17/53.84 tff(f873,plain,( 54.17/53.84 ( ! [X0:$int] : (n1 != X0 | $sum(sK5,cardinal1(int,t2tb(sK0))) = X0) )), 54.17/53.84 inference(equality_resolution,[],[f839])). 54.17/53.84 tff(f839,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (sK5 != X0 | n1 != X1 | $sum(X0,cardinal1(int,t2tb(sK0))) = X1) )), 54.17/53.84 inference(equality_resolution,[],[f462])). 54.17/53.84 tff(f462,plain,( 54.17/53.84 ( ! [X2:$int,X3:$int,X1:$int] : (cardinal1(int,t2tb(sK0)) != X3 | sK5 != X2 | n1 != X1 | $sum(X2,X3) = X1) )), 54.17/53.84 inference(theory_flattening,[],[f270])). 54.17/53.84 tff(f270,plain,( 54.17/53.84 n1 = $sum(sK5,cardinal1(int,t2tb(sK0)))), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f871,plain,( 54.17/53.84 spl30_74 | spl30_76 | ~spl30_79), 54.17/53.84 inference(avatar_split_clause,[],[f816,f869,f863,f857])). 54.17/53.84 tff(f857,plain,( 54.17/53.84 spl30_74 <=> is_empty(int,t2tb(sK2))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_74])])). 54.17/53.84 tff(f863,plain,( 54.17/53.84 spl30_76 <=> $less(min_elt1(sK2),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_76])])). 54.17/53.84 tff(f869,plain,( 54.17/53.84 spl30_79 <=> ~$less(sK19(min_elt1(sK2)),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_79])])). 54.17/53.84 tff(f816,plain,( 54.17/53.84 ~$less(sK19(min_elt1(sK2)),0) | $less(min_elt1(sK2),0) | is_empty(int,t2tb(sK2))), 54.17/53.84 inference(resolution,[],[f812,f331])). 54.17/53.84 tff(f812,plain,( 54.17/53.84 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK2)) | ~$less(sK19(X0),0) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f454])). 54.17/53.84 tff(f454,plain,( 54.17/53.84 ( ! [X26:$int,X25:$int] : (sK19(X25) != X26 | ~mem(int,t2tb1(X25),t2tb(sK2)) | ~$less(X26,0) | $less(X25,0)) )), 54.17/53.84 inference(theory_flattening,[],[f279])). 54.17/53.84 tff(f279,plain,( 54.17/53.84 ( ! [X25:$int] : (~mem(int,t2tb1(X25),t2tb(sK2)) | ~$less(sK19(X25),0) | $less(X25,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f852,plain,( 54.17/53.84 spl30_64 | spl30_70 | ~spl30_73), 54.17/53.84 inference(avatar_split_clause,[],[f814,f850,f844,f823])). 54.17/53.84 tff(f844,plain,( 54.17/53.84 spl30_70 <=> $less(max_elt1(sK1),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_70])])). 54.17/53.84 tff(f850,plain,( 54.17/53.84 spl30_73 <=> ~$less(sK18(max_elt1(sK1)),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_73])])). 54.17/53.84 tff(f814,plain,( 54.17/53.84 ~$less(sK18(max_elt1(sK1)),0) | $less(max_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 54.17/53.84 inference(resolution,[],[f795,f332])). 54.17/53.84 tff(f795,plain,( 54.17/53.84 ( ! [X0:$int] : (~mem(int,t2tb1(X0),t2tb(sK1)) | ~$less(sK18(X0),0) | $less(X0,0)) )), 54.17/53.84 inference(equality_resolution,[],[f449])). 54.17/53.84 tff(f449,plain,( 54.17/53.84 ( ! [X23:$int,X22:$int] : (sK18(X22) != X23 | ~mem(int,t2tb1(X22),t2tb(sK1)) | ~$less(X23,0) | $less(X22,0)) )), 54.17/53.84 inference(theory_flattening,[],[f285])). 54.17/53.84 tff(f285,plain,( 54.17/53.84 ( ! [X22:$int] : (~mem(int,t2tb1(X22),t2tb(sK1)) | ~$less(sK18(X22),0) | $less(X22,0)) )), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f837,plain,( 54.17/53.84 spl30_64 | spl30_66 | ~spl30_69), 54.17/53.84 inference(avatar_split_clause,[],[f813,f835,f829,f823])). 54.17/53.84 tff(f835,plain,( 54.17/53.84 spl30_69 <=> ~$less(sK18(min_elt1(sK1)),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_69])])). 54.17/53.84 tff(f813,plain,( 54.17/53.84 ~$less(sK18(min_elt1(sK1)),0) | $less(min_elt1(sK1),0) | is_empty(int,t2tb(sK1))), 54.17/53.84 inference(resolution,[],[f795,f331])). 54.17/53.84 tff(f811,plain,( 54.17/53.84 ~spl30_63 | spl30_45), 54.17/53.84 inference(avatar_split_clause,[],[f797,f718,f809])). 54.17/53.84 tff(f809,plain,( 54.17/53.84 spl30_63 <=> ~$less(sK7,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_63])])). 54.17/53.84 tff(f718,plain,( 54.17/53.84 spl30_45 <=> ~$less($sum(sK9,$uminus(sK3)),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_45])])). 54.17/53.84 tff(f797,plain,( 54.17/53.84 ~$less(sK7,0) | ~spl30_45), 54.17/53.84 inference(backward_demodulation,[],[f796,f719])). 54.17/53.84 tff(f719,plain,( 54.17/53.84 ~$less($sum(sK9,$uminus(sK3)),0) | ~spl30_45), 54.17/53.84 inference(avatar_component_clause,[],[f718])). 54.17/53.84 tff(f796,plain,( 54.17/53.84 $sum(sK9,$uminus(sK3)) = sK7), 54.17/53.84 inference(equality_resolution,[],[f794])). 54.17/53.84 tff(f794,plain,( 54.17/53.84 ( ! [X0:$int] : (sK3 != X0 | $sum(sK9,$uminus(X0)) = sK7) )), 54.17/53.84 inference(equality_resolution,[],[f793])). 54.17/53.84 tff(f793,plain,( 54.17/53.84 ( ! [X0:$int,X1:$int] : (sK7 != X1 | sK3 != X0 | $sum(sK9,$uminus(X0)) = X1) )), 54.17/53.84 inference(equality_resolution,[],[f446])). 54.17/53.84 tff(f446,plain,( 54.17/53.84 ( ! [X2:$int,X3:$int,X1:$int] : (sK9 != X1 | sK3 != X2 | sK7 != X3 | $sum(X1,$uminus(X2)) = X3) )), 54.17/53.84 inference(theory_flattening,[],[f289])). 54.17/53.84 tff(f289,plain,( 54.17/53.84 $sum(sK9,$uminus(sK3)) = sK7), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f804,plain,( 54.17/53.84 spl30_60), 54.17/53.84 inference(avatar_split_clause,[],[f796,f802])). 54.17/53.84 tff(f802,plain,( 54.17/53.84 spl30_60 <=> $sum(sK9,$uminus(sK3)) = sK7), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_60])])). 54.17/53.84 tff(f790,plain,( 54.17/53.84 spl30_58), 54.17/53.84 inference(avatar_split_clause,[],[f292,f788])). 54.17/53.84 tff(f292,plain,( 54.17/53.84 subset(int,t2tb(sK8),diff(int,diff(int,t2tb(sK0),t2tb(sK1)),t2tb(sK2)))), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f780,plain,( 54.17/53.84 spl30_56 | ~spl30_50), 54.17/53.84 inference(avatar_split_clause,[],[f772,f745,f778])). 54.17/53.84 tff(f745,plain,( 54.17/53.84 spl30_50 <=> tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) = sK13), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_50])])). 54.17/53.84 tff(f772,plain,( 54.17/53.84 set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8))) = t2tb2(sK13) | ~spl30_50), 54.17/53.84 inference(superposition,[],[f317,f746])). 54.17/53.84 tff(f746,plain,( 54.17/53.84 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) = sK13 | ~spl30_50), 54.17/53.84 inference(avatar_component_clause,[],[f745])). 54.17/53.84 tff(f771,plain,( 54.17/53.84 spl30_54), 54.17/53.84 inference(avatar_split_clause,[],[f757,f769])). 54.17/53.84 tff(f769,plain,( 54.17/53.84 spl30_54 <=> $less(tb2t1(sK21(int,t2tb(sK0))),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_54])])). 54.17/53.84 tff(f757,plain,( 54.17/53.84 $less(tb2t1(sK21(int,t2tb(sK0))),n1)), 54.17/53.84 inference(global_subsumption,[],[f288,f751])). 54.17/53.84 tff(f751,plain,( 54.17/53.84 $less(tb2t1(sK21(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f723,f342])). 54.17/53.84 tff(f288,plain,( 54.17/53.84 ~is_empty(int,t2tb(sK0))), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f764,plain,( 54.17/53.84 spl30_52), 54.17/53.84 inference(avatar_split_clause,[],[f754,f762])). 54.17/53.84 tff(f762,plain,( 54.17/53.84 spl30_52 <=> $less(tb2t1(choose(int,t2tb(sK0))),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_52])])). 54.17/53.84 tff(f754,plain,( 54.17/53.84 $less(tb2t1(choose(int,t2tb(sK0))),n1)), 54.17/53.84 inference(global_subsumption,[],[f288,f748])). 54.17/53.84 tff(f748,plain,( 54.17/53.84 $less(tb2t1(choose(int,t2tb(sK0))),n1) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f723,f343])). 54.17/53.84 tff(f747,plain,( 54.17/53.84 spl30_50 | ~spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f726,f508,f745])). 54.17/53.84 tff(f726,plain,( 54.17/53.84 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK5),t2tb1(min_elt1(sK8)))) = sK13 | ~spl30_2), 54.17/53.84 inference(forward_demodulation,[],[f305,f509])). 54.17/53.84 tff(f305,plain,( 54.17/53.84 tb2t2(set1(int,int,t2tb2(sK12),t2tb1(sK11),t2tb1(min_elt1(sK8)))) = sK13), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f740,plain,( 54.17/53.84 spl30_48), 54.17/53.84 inference(avatar_split_clause,[],[f725,f738])). 54.17/53.84 tff(f738,plain,( 54.17/53.84 spl30_48 <=> $less(max_elt1(sK0),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_48])])). 54.17/53.84 tff(f725,plain,( 54.17/53.84 $less(max_elt1(sK0),n1)), 54.17/53.84 inference(global_subsumption,[],[f288,f722])). 54.17/53.84 tff(f722,plain,( 54.17/53.84 $less(max_elt1(sK0),n1) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f712,f332])). 54.17/53.84 tff(f733,plain,( 54.17/53.84 spl30_46), 54.17/53.84 inference(avatar_split_clause,[],[f724,f731])). 54.17/53.84 tff(f731,plain,( 54.17/53.84 spl30_46 <=> $less(min_elt1(sK0),n1)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_46])])). 54.17/53.84 tff(f724,plain,( 54.17/53.84 $less(min_elt1(sK0),n1)), 54.17/53.84 inference(global_subsumption,[],[f288,f721])). 54.17/53.84 tff(f721,plain,( 54.17/53.84 $less(min_elt1(sK0),n1) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f712,f331])). 54.17/53.84 tff(f720,plain,( 54.17/53.84 ~spl30_45), 54.17/53.84 inference(avatar_split_clause,[],[f713,f718])). 54.17/53.84 tff(f713,plain,( 54.17/53.84 ~$less($sum(sK9,$uminus(sK3)),0)), 54.17/53.84 inference(equality_resolution,[],[f711])). 54.17/53.84 tff(f711,plain,( 54.17/53.84 ( ! [X0:$int] : (sK3 != X0 | ~$less($sum(sK9,$uminus(X0)),0)) )), 54.17/53.84 inference(equality_resolution,[],[f445])). 54.17/53.84 tff(f445,plain,( 54.17/53.84 ( ! [X2:$int,X1:$int] : (sK9 != X1 | sK3 != X2 | ~$less($sum(X1,$uminus(X2)),0)) )), 54.17/53.84 inference(theory_flattening,[],[f290])). 54.17/53.84 tff(f290,plain,( 54.17/53.84 ~$less($sum(sK9,$uminus(sK3)),0)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f708,plain,( 54.17/53.84 spl30_42 | ~spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f701,f508,f706])). 54.17/53.84 tff(f701,plain,( 54.17/53.84 $sum(sK5,1) = sK14 | ~spl30_2), 54.17/53.84 inference(equality_resolution,[],[f700])). 54.17/53.84 tff(f700,plain,( 54.17/53.84 ( ! [X0:$int] : (sK5 != X0 | $sum(X0,1) = sK14) ) | ~spl30_2), 54.17/53.84 inference(equality_resolution,[],[f690])). 54.17/53.84 tff(f690,plain,( 54.17/53.84 ( ! [X2:$int,X1:$int] : (sK14 != X2 | sK5 != X1 | $sum(X1,1) = X2) ) | ~spl30_2), 54.17/53.84 inference(forward_demodulation,[],[f439,f509])). 54.17/53.84 tff(f439,plain,( 54.17/53.84 ( ! [X2:$int,X1:$int] : (sK11 != X1 | sK14 != X2 | $sum(X1,1) = X2) )), 54.17/53.84 inference(theory_flattening,[],[f306])). 54.17/53.84 tff(f306,plain,( 54.17/53.84 $sum(sK11,1) = sK14), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f699,plain,( 54.17/53.84 ~spl30_41 | ~spl30_38), 54.17/53.84 inference(avatar_split_clause,[],[f692,f687,f697])). 54.17/53.84 tff(f697,plain,( 54.17/53.84 spl30_41 <=> ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_41])])). 54.17/53.84 tff(f692,plain,( 54.17/53.84 ~is_empty(int,remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0))) | ~spl30_38), 54.17/53.84 inference(resolution,[],[f688,f340])). 54.17/53.84 tff(f689,plain,( 54.17/53.84 spl30_38), 54.17/53.84 inference(avatar_split_clause,[],[f307,f687])). 54.17/53.84 tff(f307,plain,( 54.17/53.84 mem(int,t2tb1(sK15),remove(int,t2tb1(min_elt1(sK8)),t2tb(sK0)))), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f663,plain,( 54.17/53.84 spl30_36 | ~spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f655,f643,f661])). 54.17/53.84 tff(f655,plain,( 54.17/53.84 t2tb1(sK15) = get(int,int,t2tb2(sK13),t2tb1(sK16)) | ~spl30_34), 54.17/53.84 inference(superposition,[],[f322,f644])). 54.17/53.84 tff(f645,plain,( 54.17/53.84 spl30_34), 54.17/53.84 inference(avatar_split_clause,[],[f310,f643])). 54.17/53.84 tff(f310,plain,( 54.17/53.84 tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK16))) = sK15), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f638,plain,( 54.17/53.84 ~spl30_33), 54.17/53.84 inference(avatar_split_clause,[],[f624,f636])). 54.17/53.84 tff(f636,plain,( 54.17/53.84 spl30_33 <=> ~$less(tb2t1(sK21(int,t2tb(sK0))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_33])])). 54.17/53.84 tff(f624,plain,( 54.17/53.84 ~$less(tb2t1(sK21(int,t2tb(sK0))),0)), 54.17/53.84 inference(global_subsumption,[],[f288,f618])). 54.17/53.84 tff(f618,plain,( 54.17/53.84 ~$less(tb2t1(sK21(int,t2tb(sK0))),0) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f582,f342])). 54.17/53.84 tff(f631,plain,( 54.17/53.84 ~spl30_31), 54.17/53.84 inference(avatar_split_clause,[],[f621,f629])). 54.17/53.84 tff(f629,plain,( 54.17/53.84 spl30_31 <=> ~$less(tb2t1(choose(int,t2tb(sK0))),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_31])])). 54.17/53.84 tff(f621,plain,( 54.17/53.84 ~$less(tb2t1(choose(int,t2tb(sK0))),0)), 54.17/53.84 inference(global_subsumption,[],[f288,f615])). 54.17/53.84 tff(f615,plain,( 54.17/53.84 ~$less(tb2t1(choose(int,t2tb(sK0))),0) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f582,f343])). 54.17/53.84 tff(f614,plain,( 54.17/53.84 spl30_28), 54.17/53.84 inference(avatar_split_clause,[],[f607,f612])). 54.17/53.84 tff(f607,plain,( 54.17/53.84 $less(sK16,sK14)), 54.17/53.84 inference(equality_resolution,[],[f606])). 54.17/53.84 tff(f606,plain,( 54.17/53.84 ( ! [X0:$int] : (sK14 != X0 | $less(sK16,X0)) )), 54.17/53.84 inference(equality_resolution,[],[f438])). 54.17/53.84 tff(f438,plain,( 54.17/53.84 ( ! [X2:$int,X1:$int] : (sK16 != X1 | sK14 != X2 | $less(X1,X2)) )), 54.17/53.84 inference(theory_flattening,[],[f308])). 54.17/53.84 tff(f308,plain,( 54.17/53.84 $less(sK16,sK14)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f605,plain,( 54.17/53.84 spl30_26), 54.17/53.84 inference(avatar_split_clause,[],[f295,f603])). 54.17/53.84 tff(f603,plain,( 54.17/53.84 spl30_26 <=> eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_26])])). 54.17/53.84 tff(f295,plain,( 54.17/53.84 eq_prefix1(map(int,int),t2tb3(sK4),t2tb3(sK10),sK3)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f598,plain,( 54.17/53.84 ~spl30_25), 54.17/53.84 inference(avatar_split_clause,[],[f584,f596])). 54.17/53.84 tff(f596,plain,( 54.17/53.84 spl30_25 <=> ~$less(max_elt1(sK0),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_25])])). 54.17/53.84 tff(f584,plain,( 54.17/53.84 ~$less(max_elt1(sK0),0)), 54.17/53.84 inference(global_subsumption,[],[f288,f581])). 54.17/53.84 tff(f581,plain,( 54.17/53.84 ~$less(max_elt1(sK0),0) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f272,f332])). 54.17/53.84 tff(f591,plain,( 54.17/53.84 ~spl30_23), 54.17/53.84 inference(avatar_split_clause,[],[f583,f589])). 54.17/53.84 tff(f589,plain,( 54.17/53.84 spl30_23 <=> ~$less(min_elt1(sK0),0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_23])])). 54.17/53.84 tff(f583,plain,( 54.17/53.84 ~$less(min_elt1(sK0),0)), 54.17/53.84 inference(global_subsumption,[],[f288,f580])). 54.17/53.84 tff(f580,plain,( 54.17/53.84 ~$less(min_elt1(sK0),0) | is_empty(int,t2tb(sK0))), 54.17/53.84 inference(resolution,[],[f272,f331])). 54.17/53.84 tff(f578,plain,( 54.17/53.84 spl30_20 | ~spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f564,f508,f576])). 54.17/53.84 tff(f564,plain,( 54.17/53.84 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK5) | ~spl30_2), 54.17/53.84 inference(forward_demodulation,[],[f296,f509])). 54.17/53.84 tff(f296,plain,( 54.17/53.84 eq_prefix1(int,t2tb2(sK6),t2tb2(sK12),sK11)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f571,plain,( 54.17/53.84 ~spl30_19), 54.17/53.84 inference(avatar_split_clause,[],[f563,f569])). 54.17/53.84 tff(f569,plain,( 54.17/53.84 spl30_19 <=> ~$less(sK3,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_19])])). 54.17/53.84 tff(f563,plain,( 54.17/53.84 ~$less(sK3,0)), 54.17/53.84 inference(equality_resolution,[],[f461])). 54.17/53.84 tff(f461,plain,( 54.17/53.84 ( ! [X1:$int] : (sK3 != X1 | ~$less(X1,0)) )), 54.17/53.84 inference(theory_flattening,[],[f271])). 54.17/53.84 tff(f271,plain,( 54.17/53.84 ~$less(sK3,0)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f562,plain,( 54.17/53.84 ~spl30_17), 54.17/53.84 inference(avatar_split_clause,[],[f555,f560])). 54.17/53.84 tff(f560,plain,( 54.17/53.84 spl30_17 <=> ~$less(sK5,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_17])])). 54.17/53.84 tff(f555,plain,( 54.17/53.84 ~$less(sK5,0)), 54.17/53.84 inference(equality_resolution,[],[f447])). 54.17/53.84 tff(f447,plain,( 54.17/53.84 ( ! [X1:$int] : (sK5 != X1 | ~$less(X1,0)) )), 54.17/53.84 inference(theory_flattening,[],[f287])). 54.17/53.84 tff(f287,plain,( 54.17/53.84 ~$less(sK5,0)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f554,plain,( 54.17/53.84 ~spl30_15), 54.17/53.84 inference(avatar_split_clause,[],[f547,f552])). 54.17/53.84 tff(f552,plain,( 54.17/53.84 spl30_15 <=> ~$less(sK16,0)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_15])])). 54.17/53.84 tff(f547,plain,( 54.17/53.84 ~$less(sK16,0)), 54.17/53.84 inference(equality_resolution,[],[f437])). 54.17/53.84 tff(f437,plain,( 54.17/53.84 ( ! [X1:$int] : (sK16 != X1 | ~$less(X1,0)) )), 54.17/53.84 inference(theory_flattening,[],[f309])). 54.17/53.84 tff(f309,plain,( 54.17/53.84 ~$less(sK16,0)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f546,plain,( 54.17/53.84 ~spl30_13), 54.17/53.84 inference(avatar_split_clause,[],[f304,f544])). 54.17/53.84 tff(f544,plain,( 54.17/53.84 spl30_13 <=> ~is_empty(int,t2tb(sK8))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_13])])). 54.17/53.84 tff(f304,plain,( 54.17/53.84 ~is_empty(int,t2tb(sK8))), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f539,plain,( 54.17/53.84 spl30_10), 54.17/53.84 inference(avatar_split_clause,[],[f293,f537])). 54.17/53.84 tff(f537,plain,( 54.17/53.84 spl30_10 <=> sorted1(sK10,sK3,sK9)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_10])])). 54.17/53.84 tff(f293,plain,( 54.17/53.84 sorted1(sK10,sK3,sK9)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f532,plain,( 54.17/53.84 ~spl30_9), 54.17/53.84 inference(avatar_split_clause,[],[f288,f530])). 54.17/53.84 tff(f530,plain,( 54.17/53.84 spl30_9 <=> ~is_empty(int,t2tb(sK0))), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_9])])). 54.17/53.84 tff(f525,plain,( 54.17/53.84 spl30_6 | ~spl30_2 | ~spl30_4), 54.17/53.84 inference(avatar_split_clause,[],[f518,f515,f508,f523])). 54.17/53.84 tff(f523,plain,( 54.17/53.84 spl30_6 <=> partial_solution1(sK5,sK12)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_6])])). 54.17/53.84 tff(f515,plain,( 54.17/53.84 spl30_4 <=> partial_solution1(sK11,sK12)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_4])])). 54.17/53.84 tff(f518,plain,( 54.17/53.84 partial_solution1(sK5,sK12) | (~spl30_2 | ~spl30_4)), 54.17/53.84 inference(forward_demodulation,[],[f516,f509])). 54.17/53.84 tff(f516,plain,( 54.17/53.84 partial_solution1(sK11,sK12) | ~spl30_4), 54.17/53.84 inference(avatar_component_clause,[],[f515])). 54.17/53.84 tff(f517,plain,( 54.17/53.84 spl30_4), 54.17/53.84 inference(avatar_split_clause,[],[f303,f515])). 54.17/53.84 tff(f303,plain,( 54.17/53.84 partial_solution1(sK11,sK12)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f510,plain,( 54.17/53.84 spl30_2), 54.17/53.84 inference(avatar_split_clause,[],[f291,f508])). 54.17/53.84 tff(f291,plain,( 54.17/53.84 sK5 = sK11), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 tff(f503,plain,( 54.17/53.84 spl30_0), 54.17/53.84 inference(avatar_split_clause,[],[f282,f501])). 54.17/53.84 tff(f501,plain,( 54.17/53.84 spl30_0 <=> partial_solution1(sK5,sK6)), 54.17/53.84 introduced(avatar_definition,[new_symbols(naming,[spl30_0])])). 54.17/53.84 tff(f282,plain,( 54.17/53.84 partial_solution1(sK5,sK6)), 54.17/53.84 inference(cnf_transformation,[],[f227])). 54.17/53.84 % SZS output end Proof for theBenchmark 54.17/53.84 % ------------------------------ 54.17/53.84 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 54.17/53.84 % Termination reason: Refutation 54.17/53.84 54.17/53.84 % Memory used [KB]: 7931 54.17/53.84 % Time elapsed: 0.199 s 54.17/53.84 % ------------------------------ 54.17/53.84 % ------------------------------ 54.17/53.84 % Success in time 53.493 s 54.17/53.84 EOF