0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.24 % Computer : n138.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:14:24 CDT 2018 0.02/0.25 % CPUTime : 0.06/0.28 % dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark 0.58/0.78 % Time limit reached! 0.58/0.78 % ------------------------------ 0.58/0.78 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.58/0.78 % Termination reason: Time limit 0.58/0.78 % Termination phase: Saturation 0.58/0.78 0.58/0.78 % Memory used [KB]: 6524 0.58/0.78 % Time elapsed: 0.500 s 0.58/0.78 % ------------------------------ 0.58/0.78 % ------------------------------ 0.58/0.82 % lrs+1010_4:1_aac=none:add=off:afp=40000:afq=1.0:amm=sco:anc=none:bd=off:cond=on:gs=on:gsem=on:irw=on:nm=0:nwc=2.5:sas=z3:stl=30:sos=theory:sp=reverse_arity:updr=off_11 on theBenchmark 2.20/2.42 % Time limit reached! 2.20/2.42 % ------------------------------ 2.20/2.42 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.20/2.42 % Termination reason: Time limit 2.20/2.42 % Termination phase: Saturation 2.20/2.42 2.20/2.42 % Memory used [KB]: 18293 2.20/2.42 % Time elapsed: 1.600 s 2.20/2.42 % ------------------------------ 2.20/2.42 % ------------------------------ 2.20/2.45 % 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 3.21/3.45 % Time limit reached! 3.21/3.45 % ------------------------------ 3.21/3.45 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.21/3.45 % Termination reason: Time limit 3.21/3.45 % Termination phase: Saturation 3.21/3.45 3.21/3.45 % Memory used [KB]: 6268 3.21/3.45 % Time elapsed: 1.0000 s 3.21/3.45 % ------------------------------ 3.21/3.45 % ------------------------------ 3.27/3.49 % 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_74 on theBenchmark 13.08/13.29 % Time limit reached! 13.08/13.29 % ------------------------------ 13.08/13.29 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.08/13.29 % Termination reason: Time limit 13.08/13.29 % Termination phase: Saturation 13.08/13.29 13.08/13.29 % Memory used [KB]: 36843 13.08/13.29 % Time elapsed: 9.800 s 13.08/13.29 % ------------------------------ 13.08/13.29 % ------------------------------ 13.16/13.33 % 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 14.76/14.92 % Time limit reached! 14.76/14.92 % ------------------------------ 14.76/14.92 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.76/14.92 % Termination reason: Time limit 14.76/14.92 % Termination phase: Saturation 14.76/14.92 14.76/14.92 % Memory used [KB]: 29167 14.76/14.92 % Time elapsed: 1.600 s 14.76/14.92 % ------------------------------ 14.76/14.92 % ------------------------------ 14.76/14.96 % 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_9 on theBenchmark 16.07/16.26 % Time limit reached! 16.07/16.26 % ------------------------------ 16.07/16.26 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.07/16.26 % Termination reason: Time limit 16.07/16.26 % Termination phase: Saturation 16.07/16.26 16.07/16.26 % Memory used [KB]: 40425 16.07/16.26 % Time elapsed: 1.300 s 16.07/16.26 % ------------------------------ 16.07/16.26 % ------------------------------ 16.14/16.30 % 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 17.45/17.60 % Time limit reached! 17.45/17.60 % ------------------------------ 17.45/17.60 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.45/17.60 % Termination reason: Time limit 17.45/17.60 % Termination phase: Saturation 17.45/17.60 17.45/17.60 % Memory used [KB]: 34285 17.45/17.60 % Time elapsed: 1.300 s 17.45/17.60 % ------------------------------ 17.45/17.60 % ------------------------------ 17.48/17.63 % lrs+10_5:4_aac=none:add=large:afr=on:afp=100000:afq=1.1:anc=none:bd=off:bsr=on:er=known:fsr=off:lma=on:nm=0:nwc=1:sas=z3:stl=30:sos=on:updr=off_17 on theBenchmark 19.87/20.03 % Time limit reached! 19.87/20.03 % ------------------------------ 19.87/20.03 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 19.87/20.03 % Termination reason: Time limit 19.87/20.03 % Termination phase: Saturation 19.87/20.03 19.87/20.03 % Memory used [KB]: 16886 19.87/20.03 % Time elapsed: 2.400 s 19.87/20.03 % ------------------------------ 19.87/20.03 % ------------------------------ 19.87/20.07 % 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 20.90/21.07 % Time limit reached! 20.90/21.07 % ------------------------------ 20.90/21.07 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.90/21.07 % Termination reason: Time limit 20.90/21.07 % Termination phase: Saturation 20.90/21.07 20.90/21.07 % Memory used [KB]: 16630 20.90/21.07 % Time elapsed: 1.0000 s 20.90/21.07 % ------------------------------ 20.90/21.07 % ------------------------------ 20.97/21.11 % 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_34 on theBenchmark 25.53/25.70 % Time limit reached! 25.53/25.70 % ------------------------------ 25.53/25.70 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 25.53/25.70 % Termination reason: Time limit 25.53/25.70 % Termination phase: Saturation 25.53/25.70 25.53/25.70 % Memory used [KB]: 25074 25.53/25.70 % Time elapsed: 4.600 s 25.53/25.70 % ------------------------------ 25.53/25.70 % ------------------------------ 25.62/25.74 % dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_3 on theBenchmark 26.23/26.34 % Time limit reached! 26.23/26.34 % ------------------------------ 26.23/26.34 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.23/26.34 % Termination reason: Time limit 26.23/26.34 % Termination phase: Saturation 26.23/26.34 26.23/26.34 % Memory used [KB]: 26737 26.23/26.34 % Time elapsed: 0.600 s 26.23/26.34 % ------------------------------ 26.23/26.34 % ------------------------------ 26.23/26.38 % 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 26.84/26.98 % Time limit reached! 26.84/26.98 % ------------------------------ 26.84/26.98 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.84/26.98 % Termination reason: Time limit 26.84/26.98 % Termination phase: Saturation 26.84/26.98 26.84/26.98 % Memory used [KB]: 13048 26.84/26.98 % Time elapsed: 0.600 s 26.84/26.98 % ------------------------------ 26.84/26.98 % ------------------------------ 26.90/27.01 % dis+1_3:1_acc=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:gs=on:inw=on:lma=on:nm=32:nwc=1:urr=on_2 on theBenchmark 27.34/27.51 % Time limit reached! 27.34/27.51 % ------------------------------ 27.34/27.51 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 27.34/27.51 % Termination reason: Time limit 27.34/27.51 % Termination phase: Saturation 27.34/27.51 27.34/27.51 % Memory used [KB]: 28656 27.34/27.51 % Time elapsed: 0.500 s 27.34/27.51 % ------------------------------ 27.34/27.51 % ------------------------------ 27.44/27.55 % 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 50.95/50.95 % Time limit reached! 50.95/50.95 % ------------------------------ 50.95/50.95 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 50.95/50.95 % Termination reason: Time limit 50.95/50.95 % Termination phase: Saturation 50.95/50.95 50.95/50.95 % Memory used [KB]: 405792 50.95/50.95 % Time elapsed: 23.400 s 50.95/50.95 % ------------------------------ 50.95/50.95 % ------------------------------ 51.01/51.01 % dis+1002_4_add=large:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sas=z3:sp=reverse_arity:tha=off:thi=strong_17 on theBenchmark 53.42/53.41 % Time limit reached! 53.42/53.41 % ------------------------------ 53.42/53.41 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 53.42/53.41 % Termination reason: Time limit 53.42/53.41 % Termination phase: Saturation 53.42/53.41 53.42/53.41 % Memory used [KB]: 8443 53.42/53.41 % Time elapsed: 2.400 s 53.42/53.41 % ------------------------------ 53.42/53.41 % ------------------------------ 53.42/53.45 % lrs+10_8:1_aac=none:add=off:afr=on:afp=40000:afq=1.1:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=none:gs=on:gsem=off:nm=0:nwc=1.2:sas=z3:stl=30:sos=all:sp=reverse_arity:tha=off:updr=off_68 on theBenchmark 54.32/54.34 % Refutation found. Thanks to Tanya! 54.32/54.34 % SZS status Theorem for theBenchmark 54.32/54.34 % SZS output start Proof for theBenchmark 54.32/54.34 tff(type_def_5, type, uni: $tType). 54.32/54.34 tff(type_def_6, type, ty: $tType). 54.32/54.34 tff(type_def_7, type, bool: $tType). 54.32/54.34 tff(type_def_8, type, tuple0: $tType). 54.32/54.34 tff(type_def_9, type, set1: $tType). 54.32/54.34 tff(type_def_10, type, map_int_lpmap_int_intrp: $tType). 54.32/54.34 tff(type_def_11, type, map_int_int: $tType). 54.32/54.34 tff(type_def_12, type, lpintcm_setrp: $tType). 54.32/54.34 tff(type_def_13, type, lpintcm_map_int_intrp: $tType). 54.32/54.34 tff(type_def_14, type, t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType). 54.32/54.34 tff(type_def_15, type, option_lpintcm_map_int_intrp: $tType). 54.32/54.34 tff(type_def_16, type, map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $tType). 54.32/54.34 tff(func_def_0, type, witness: ty > uni). 54.32/54.34 tff(func_def_1, type, int: ty). 54.32/54.34 tff(func_def_2, type, real: ty). 54.32/54.34 tff(func_def_3, type, bool1: ty). 54.32/54.34 tff(func_def_4, type, true: bool). 54.32/54.34 tff(func_def_5, type, false: bool). 54.32/54.34 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 54.32/54.34 tff(func_def_7, type, tuple01: ty). 54.32/54.34 tff(func_def_8, type, tuple02: tuple0). 54.32/54.34 tff(func_def_9, type, qtmark: ty). 54.32/54.34 tff(func_def_10, type, min: ($int * $int) > $int). 54.32/54.34 tff(func_def_11, type, max: ($int * $int) > $int). 54.32/54.34 tff(func_def_12, type, map: (ty * ty) > ty). 54.32/54.34 tff(func_def_13, type, get: (ty * ty * uni * uni) > uni). 54.32/54.34 tff(func_def_14, type, set: (ty * ty * uni * uni * uni) > uni). 54.32/54.34 tff(func_def_15, type, const: (ty * ty * uni) > uni). 54.32/54.34 tff(func_def_16, type, ref: ty > ty). 54.32/54.34 tff(func_def_17, type, mk_ref: (ty * uni) > uni). 54.32/54.34 tff(func_def_18, type, contents: (ty * uni) > uni). 54.32/54.34 tff(func_def_19, type, n: $int). 54.32/54.34 tff(func_def_20, type, size: $int). 54.32/54.34 tff(func_def_21, type, set2: ty). 54.32/54.34 tff(func_def_22, type, remove: ($int * set1) > set1). 54.32/54.34 tff(func_def_23, type, below: $int > set1). 54.32/54.34 tff(func_def_24, type, cardinal: set1 > $int). 54.32/54.34 tff(func_def_25, type, m: map_int_lpmap_int_intrp). 54.32/54.34 tff(func_def_26, type, t2tb: map_int_int > uni). 54.32/54.34 tff(func_def_27, type, tb2t: uni > map_int_int). 54.32/54.34 tff(func_def_28, type, t2tb1: map_int_lpmap_int_intrp > uni). 54.32/54.34 tff(func_def_29, type, tb2t1: uni > map_int_lpmap_int_intrp). 54.32/54.34 tff(func_def_30, type, t2tb2: $int > uni). 54.32/54.34 tff(func_def_31, type, tb2t2: uni > $int). 54.32/54.34 tff(func_def_32, type, f: (map_int_int * $int) > $int). 54.32/54.34 tff(func_def_33, type, sum: (map_int_int * $int * $int) > $int). 54.32/54.34 tff(func_def_34, type, option: ty > ty). 54.32/54.34 tff(func_def_35, type, none: ty > uni). 54.32/54.34 tff(func_def_36, type, some: (ty * uni) > uni). 54.32/54.34 tff(func_def_37, type, match_option: (ty * ty * uni * uni * uni) > uni). 54.32/54.34 tff(func_def_38, type, some_proj_1: (ty * uni) > uni). 54.32/54.34 tff(func_def_39, type, t: (ty * ty) > ty). 54.32/54.34 tff(func_def_40, type, mk_t: (ty * ty * uni) > uni). 54.32/54.34 tff(func_def_41, type, contents1: (ty * ty * uni) > uni). 54.32/54.34 tff(func_def_42, type, mixfix_lbrb: (ty * ty * uni * uni) > uni). 54.32/54.34 tff(func_def_43, type, tuple2: (ty * ty) > ty). 54.32/54.34 tff(func_def_44, type, tuple21: (ty * ty * uni * uni) > uni). 54.32/54.34 tff(func_def_45, type, tuple2_proj_1: (ty * ty * uni) > uni). 54.32/54.34 tff(func_def_46, type, tuple2_proj_2: (ty * ty * uni) > uni). 54.32/54.34 tff(func_def_47, type, t2tb3: lpintcm_setrp > uni). 54.32/54.34 tff(func_def_48, type, tb2t3: uni > lpintcm_setrp). 54.32/54.34 tff(func_def_49, type, t2tb4: set1 > uni). 54.32/54.34 tff(func_def_50, type, tb2t4: uni > set1). 54.32/54.34 tff(func_def_51, type, t2tb5: lpintcm_map_int_intrp > uni). 54.32/54.34 tff(func_def_52, type, tb2t5: uni > lpintcm_map_int_intrp). 54.32/54.34 tff(func_def_53, type, t2tb6: option_lpintcm_map_int_intrp > uni). 54.32/54.34 tff(func_def_54, type, tb2t6: uni > option_lpintcm_map_int_intrp). 54.32/54.34 tff(func_def_55, type, t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni). 54.32/54.34 tff(func_def_56, type, tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp). 54.32/54.34 tff(func_def_57, type, t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni). 54.32/54.34 tff(func_def_58, type, tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 54.32/54.34 tff(func_def_65, type, sK0: $int). 54.32/54.34 tff(func_def_66, type, sK1: set1). 54.32/54.34 tff(func_def_67, type, sK2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp). 54.32/54.34 tff(func_def_68, type, sK3: set1 > $int). 54.32/54.34 tff(func_def_69, type, sK4: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_setrp). 54.32/54.34 tff(func_def_70, type, sK5: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_map_int_intrp). 54.32/54.34 tff(func_def_71, type, sK6: (map_int_int * $int) > $int). 54.32/54.34 tff(func_def_72, type, sK7: (map_int_int * $int) > $int). 54.32/54.34 tff(func_def_73, type, sK8: (map_int_int * $int) > $int). 54.32/54.34 tff(func_def_74, type, sK9: set1 > $int). 54.32/54.34 tff(func_def_75, type, sK10: (map_int_int * map_int_int * $int * $int) > $int). 54.32/54.34 tff(func_def_76, type, sK11: ($int * set1 * map_int_int) > $int). 54.32/54.34 tff(func_def_77, type, sK12: ($int * set1 * map_int_int) > $int). 54.32/54.34 tff(func_def_78, type, sK13: ($int * set1 * $int) > map_int_int). 54.32/54.34 tff(pred_def_1, type, sort: (ty * uni) > $o). 54.32/54.34 tff(pred_def_2, type, mem: ($int * set1) > $o). 54.32/54.34 tff(pred_def_3, type, solution: (map_int_int * $int) > $o). 54.32/54.34 tff(pred_def_4, type, pre: lpintcm_setrp > $o). 54.32/54.34 tff(pred_def_5, type, post: (lpintcm_setrp * lpintcm_map_int_intrp) > $o). 54.32/54.34 tff(pred_def_6, type, inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o). 54.32/54.34 tff(f1,axiom,( 54.32/54.34 ! [X0 : set1] : sort(set2,t2tb4(X0))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort4)). 54.32/54.34 tff(f12,axiom,( 54.32/54.34 ! [X3 : ty,X4 : ty,X11 : uni,X7 : uni] : (sort(X4,X11) => get(X4,X3,const(X4,X3,X11),X7) = X11)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',const1)). 54.32/54.34 tff(f22,axiom,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X14 : $int,X12 : $int] : (($lesseq(X2,X14) & $lesseq(X14,X12)) => sum(X17,X2,X12) = $sum(sum(X17,X2,X14),sum(X17,X14,X12)))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_transitivity)). 54.32/54.34 tff(f24,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X10,X0) => max(X0,X10) = X0)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_x)). 54.32/54.34 tff(f26,axiom,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X12 : $int] : ($less(X2,X12) => sum(X17,X2,X12) = $sum(f(X17,X2),sum(X17,$sum(X2,1),X12)))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_def_non_empty)). 54.32/54.34 tff(f27,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X0,max(X0,X10)) & $lesseq(X10,max(X0,X10)))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_ge)). 54.32/54.34 tff(f28,axiom,( 54.32/54.34 ! [X0 : $int,X1 : set1] : (mem(X0,X1) => cardinal(X1) = $sum(1,cardinal(remove(X0,X1))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_remove)). 54.32/54.34 tff(f33,axiom,( 54.32/54.34 ! [X0 : $int,X18 : $int] : (($lesseq(X18,size) & $lesseq(0,X18)) => (($less(X0,X18) & $lesseq(0,X0)) <=> mem(X0,below(X18))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',below_def)). 54.32/54.34 tff(f36,conjecture,( 54.32/54.34 ! [X2 : $int,X17 : set1,X19 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19))))) => (n = X2 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19)))) & post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_maximum)). 54.32/54.34 tff(f37,negated_conjecture,( 54.32/54.34 ~! [X2 : $int,X17 : set1,X19 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19))))) => (n = X2 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X19)))) & post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 54.32/54.34 inference(negated_conjecture,[],[f36])). 54.32/54.34 tff(f39,axiom,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X12 : $int] : ($less(X2,X12) => sum(X17,X2,X12) = $sum(sum(X17,X2,$difference(X12,1)),f(X17,$difference(X12,1))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_right_extension)). 54.32/54.34 tff(f42,axiom,( 54.32/54.34 ! [X20 : map_int_int,X21 : map_int_int,X2 : $int,X12 : $int] : (! [X14 : $int] : (($less(X14,X12) & $lesseq(X2,X14)) => f(X20,X14) = f(X21,X14)) => sum(X20,X2,X12) = sum(X21,X2,X12))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_eq)). 54.32/54.34 tff(f44,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(min(X0,X10),X0) & $lesseq(min(X0,X10),X10))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_is_le)). 54.32/54.34 tff(f45,axiom,( 54.32/54.34 ! [X0 : $int] : sort(int,t2tb2(X0))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2tb_sort2)). 54.32/54.34 tff(f47,axiom,( 54.32/54.34 ! [X2 : $int,X17 : set1] : (($lesseq(0,X2) & ! [X14 : $int] : (mem(X14,X17) => ($lesseq(0,X14) & $less(X14,n))) & cardinal(X17) = $difference(n,X2) & $lesseq(X2,n)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pre_def)). 54.32/54.34 tff(f48,axiom,( 54.32/54.34 ! [X2 : $int,X17 : set1,X22 : $int,X23 : map_int_int] : (($lesseq(0,X22) & ! [X14 : $int] : (($less(X14,n) & $lesseq(X2,X14)) => mem(tb2t2(get(int,int,t2tb(X23),t2tb2(X14))),X17)) & ! [X1 : map_int_int] : (solution(X1,X2) => (! [X14 : $int] : (($less(X14,n) & $lesseq(X2,X14)) => mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),X17)) => $lesseq(sum(X1,X2,n),X22))) & sum(X23,X2,n) = X22 & solution(X23,X2)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(X22),t2tb(X23)))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',post_def)). 54.32/54.34 tff(f49,axiom,( 54.32/54.34 ! [X3 : ty,X4 : ty,X24 : uni,X7 : uni,X25 : uni] : (sort(X3,X7) => (sort(X3,X25) => ! [X11 : uni] : (X7 != X25 => get(X4,X3,X24,X25) = get(X4,X3,set(X4,X3,X24,X7,X11),X25))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_neq)). 54.32/54.34 tff(f51,axiom,( 54.32/54.34 ! [X12 : uni] : t2tb2(tb2t2(X12)) = X12), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR2)). 54.32/54.34 tff(f53,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (max(X0,X10) = X10 | max(X0,X10) = X0)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_is_some)). 54.32/54.34 tff(f58,axiom,( 54.32/54.34 $lesseq(n,size)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',integer_size)). 54.32/54.34 tff(f60,axiom,( 54.32/54.34 ! [X18 : $int] : (($lesseq(X18,size) & $lesseq(0,X18)) => (($lesseq(0,X18) => cardinal(below(X18)) = X18) & (~$lesseq(0,X18) => cardinal(below(X18)) = 0)))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_below)). 54.32/54.34 tff(f61,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X0,X10) => max(X0,X10) = X10)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_y)). 54.32/54.34 tff(f63,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X10,X0) => max(X0,X10) = max(X10,X0))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',max_sym)). 54.32/54.34 tff(f68,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X10,X0) => min(X0,X10) = X10)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_y)). 54.32/54.34 tff(f71,axiom,( 54.32/54.34 ! [X12 : uni] : (sort(set2,X12) => t2tb4(tb2t4(X12)) = X12)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR4)). 54.32/54.34 tff(f74,axiom,( 54.32/54.34 ! [X1 : set1] : (! [X0 : $int] : ~mem(X0,X1) <=> cardinal(X1) = 0)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cardinal_empty)). 54.32/54.34 tff(f75,axiom,( 54.32/54.34 $lesseq(0,n)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_nonneg)). 54.32/54.34 tff(f78,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X0,X10) => min(X0,X10) = X0)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_x)). 54.32/54.34 tff(f79,axiom,( 54.32/54.34 ! [X2 : $int,X12 : $int] : (($less(X2,n) & $lesseq(0,X2)) => (($less(X12,n) & $lesseq(0,X12)) => $lesseq(0,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X2)),t2tb2(X12))))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_pos)). 54.32/54.34 tff(f81,axiom,( 54.32/54.34 ! [X1 : map_int_int,X2 : $int] : (solution(X1,X2) <=> (! [X26 : $int,X27 : $int] : (($less(X26,X27) & $less(X27,n) & $lesseq(X2,X26)) => tb2t2(get(int,int,t2tb(X1),t2tb2(X26))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X27)))) & ! [X14 : $int] : (($lesseq(X2,X14) & $less(X14,n)) => ($less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),n) & $lesseq(0,tb2t2(get(int,int,t2tb(X1),t2tb2(X14))))))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',solution_def)). 54.32/54.34 tff(f84,axiom,( 54.32/54.34 ! [X12 : uni] : t2tb(tb2t(X12)) = X12), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeR)). 54.32/54.34 tff(f88,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int,X15 : $int] : ($lesseq(X0,X10) => ($lesseq(0,X15) => $lesseq($product(X0,X15),$product(X10,X15))))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 54.32/54.34 tff(f92,axiom,( 54.32/54.34 ! [X3 : ty,X4 : ty,X24 : uni,X7 : uni,X25 : uni,X11 : uni] : (sort(X4,X11) => (X7 = X25 => get(X4,X3,set(X4,X3,X24,X7,X11),X25) = X11))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',select_eq)). 54.32/54.34 tff(f95,axiom,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X12 : $int] : ($lesseq(X12,X2) => sum(X17,X2,X12) = 0)), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_def_empty)). 54.32/54.34 tff(f96,axiom,( 54.32/54.34 ! [X0 : $int,X10 : $int] : ($lesseq(X10,X0) => min(X0,X10) = min(X10,X0))), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',min_sym)). 54.32/54.34 tff(f97,axiom,( 54.32/54.34 ! [X2 : set1] : tb2t4(t2tb4(X2)) = X2), 54.32/54.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bridgeL4)). 54.32/54.34 tff(f98,plain,( 54.32/54.34 ~$less(n,0)), 54.32/54.34 inference(evaluation,[],[f75])). 54.32/54.34 tff(f99,plain,( 54.32/54.34 ~$less(size,n)), 54.32/54.34 inference(evaluation,[],[f58])). 54.32/54.34 tff(f100,plain,( 54.32/54.34 ! [X18 : $int] : ((~$less(size,X18) & ~$less(X18,0)) => ((~$less(X18,0) => cardinal(below(X18)) = X18) & ($less(X18,0) => cardinal(below(X18)) = 0)))), 54.32/54.34 inference(evaluation,[],[f60])). 54.32/54.34 tff(f101,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(max(X0,X10),X0) & ~$less(max(X0,X10),X10))), 54.32/54.34 inference(evaluation,[],[f27])). 54.32/54.34 tff(f102,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X0,min(X0,X10)) & ~$less(X10,min(X0,X10)))), 54.32/54.34 inference(evaluation,[],[f44])). 54.32/54.34 tff(f103,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X0,X10) => max(X0,X10) = X0)), 54.32/54.34 inference(evaluation,[],[f24])). 54.32/54.34 tff(f104,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X10,X0) => min(X0,X10) = X0)), 54.32/54.34 inference(evaluation,[],[f78])). 54.32/54.34 tff(f105,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X10,X0) => max(X0,X10) = X10)), 54.32/54.34 inference(evaluation,[],[f61])). 54.32/54.34 tff(f106,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X0,X10) => min(X0,X10) = X10)), 54.32/54.34 inference(evaluation,[],[f68])). 54.32/54.34 tff(f107,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X0,X10) => min(X0,X10) = min(X10,X0))), 54.32/54.34 inference(evaluation,[],[f96])). 54.32/54.34 tff(f108,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int] : (~$less(X0,X10) => max(X0,X10) = max(X10,X0))), 54.32/54.34 inference(evaluation,[],[f63])). 54.32/54.34 tff(f109,plain,( 54.32/54.34 ! [X2 : $int,X12 : $int] : (($less(X2,n) & ~$less(X2,0)) => (($less(X12,n) & ~$less(X12,0)) => ~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X2)),t2tb2(X12))),0)))), 54.32/54.34 inference(evaluation,[],[f79])). 54.32/54.34 tff(f110,plain,( 54.32/54.34 ! [X0 : $int,X18 : $int] : ((~$less(size,X18) & ~$less(X18,0)) => (($less(X0,X18) & ~$less(X0,0)) <=> mem(X0,below(X18))))), 54.32/54.34 inference(evaluation,[],[f33])). 54.32/54.34 tff(f111,plain,( 54.32/54.34 ! [X1 : map_int_int,X2 : $int] : (solution(X1,X2) <=> (! [X26 : $int,X27 : $int] : (($less(X26,X27) & $less(X27,n) & ~$less(X26,X2)) => tb2t2(get(int,int,t2tb(X1),t2tb2(X26))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X27)))) & ! [X14 : $int] : ((~$less(X14,X2) & $less(X14,n)) => ($less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),n) & ~$less(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),0)))))), 54.32/54.34 inference(evaluation,[],[f81])). 54.32/54.34 tff(f112,plain,( 54.32/54.34 ! [X2 : $int,X17 : set1] : ((~$less(X2,0) & ! [X14 : $int] : (mem(X14,X17) => (~$less(X14,0) & $less(X14,n))) & cardinal(X17) = $sum(n,$uminus(X2)) & ~$less(n,X2)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17)))))), 54.32/54.34 inference(evaluation,[],[f47])). 54.32/54.34 tff(f113,plain,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X12 : $int] : ($less(X2,X12) => sum(X17,X2,X12) = $sum(sum(X17,X2,$sum(X12,$uminus(1))),f(X17,$sum(X12,$uminus(1)))))), 54.32/54.34 inference(evaluation,[],[f39])). 54.32/54.34 tff(f114,plain,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X12 : $int] : (~$less(X2,X12) => sum(X17,X2,X12) = 0)), 54.32/54.34 inference(evaluation,[],[f95])). 54.32/54.34 tff(f115,plain,( 54.32/54.34 ! [X0 : $int,X10 : $int,X15 : $int] : (~$less(X10,X0) => (~$less(X15,0) => ~$less($product(X10,X15),$product(X0,X15))))), 54.32/54.34 inference(evaluation,[],[f88])). 54.32/54.34 tff(f116,plain,( 54.32/54.34 ! [X17 : map_int_int,X2 : $int,X14 : $int,X12 : $int] : ((~$less(X14,X2) & ~$less(X12,X14)) => sum(X17,X2,X12) = $sum(sum(X17,X2,X14),sum(X17,X14,X12)))), 54.32/54.34 inference(evaluation,[],[f22])). 54.32/54.34 tff(f117,plain,( 54.32/54.34 ! [X20 : map_int_int,X21 : map_int_int,X2 : $int,X12 : $int] : (! [X14 : $int] : (($less(X14,X12) & ~$less(X14,X2)) => f(X20,X14) = f(X21,X14)) => sum(X20,X2,X12) = sum(X21,X2,X12))), 54.32/54.34 inference(evaluation,[],[f42])). 54.32/54.34 tff(f118,plain,( 54.32/54.34 ! [X2 : $int,X17 : set1,X22 : $int,X23 : map_int_int] : ((~$less(X22,0) & ! [X14 : $int] : (($less(X14,n) & ~$less(X14,X2)) => mem(tb2t2(get(int,int,t2tb(X23),t2tb2(X14))),X17)) & ! [X1 : map_int_int] : (solution(X1,X2) => (! [X14 : $int] : (($less(X14,n) & ~$less(X14,X2)) => mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X14))),X17)) => ~$less(X22,sum(X1,X2,n)))) & sum(X23,X2,n) = X22 & solution(X23,X2)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(X22),t2tb(X23)))))), 54.32/54.34 inference(evaluation,[],[f48])). 54.32/54.34 tff(f119,plain,( 54.32/54.34 ~! [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))) => (n = X0 => (inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) & post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))))))), 54.32/54.34 inference(rectify,[],[f37])). 54.32/54.34 tff(f122,plain,( 54.32/54.34 ! [X0 : uni] : t2tb(tb2t(X0)) = X0), 54.32/54.34 inference(rectify,[],[f84])). 54.32/54.34 tff(f129,plain,( 54.32/54.34 ! [X0 : uni] : t2tb2(tb2t2(X0)) = X0), 54.32/54.34 inference(rectify,[],[f51])). 54.32/54.34 tff(f130,plain,( 54.32/54.34 ! [X0 : set1] : tb2t4(t2tb4(X0)) = X0), 54.32/54.34 inference(rectify,[],[f97])). 54.32/54.34 tff(f142,plain,( 54.32/54.34 ! [X0 : uni] : (sort(set2,X0) => t2tb4(tb2t4(X0)) = X0)), 54.32/54.34 inference(rectify,[],[f71])). 54.32/54.34 tff(f143,plain,( 54.32/54.34 ! [X0 : $int] : ((~$less(size,X0) & ~$less(X0,0)) => ((~$less(X0,0) => cardinal(below(X0)) = X0) & ($less(X0,0) => cardinal(below(X0)) = 0)))), 54.32/54.34 inference(rectify,[],[f100])). 54.32/54.34 tff(f144,plain,( 54.32/54.34 ! [X0 : set1] : (! [X1 : $int] : ~mem(X1,X0) <=> cardinal(X0) = 0)), 54.32/54.34 inference(rectify,[],[f74])). 54.32/54.34 tff(f152,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(max(X0,X1),X0) & ~$less(max(X0,X1),X1))), 54.32/54.34 inference(rectify,[],[f101])). 54.32/54.34 tff(f153,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X0,min(X0,X1)) & ~$less(X1,min(X0,X1)))), 54.32/54.34 inference(rectify,[],[f102])). 54.32/54.34 tff(f155,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | max(X0,X1) = X0)), 54.32/54.34 inference(rectify,[],[f53])). 54.32/54.34 tff(f156,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = X0)), 54.32/54.34 inference(rectify,[],[f103])). 54.32/54.34 tff(f157,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => min(X0,X1) = X0)), 54.32/54.34 inference(rectify,[],[f104])). 54.32/54.34 tff(f158,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X1,X0) => max(X0,X1) = X1)), 54.32/54.34 inference(rectify,[],[f105])). 54.32/54.34 tff(f159,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = X1)), 54.32/54.34 inference(rectify,[],[f106])). 54.32/54.34 tff(f160,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => min(X0,X1) = min(X1,X0))), 54.32/54.34 inference(rectify,[],[f107])). 54.32/54.34 tff(f161,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (~$less(X0,X1) => max(X0,X1) = max(X1,X0))), 54.32/54.34 inference(rectify,[],[f108])). 54.32/54.34 tff(f166,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : (($less(X0,n) & ~$less(X0,0)) => (($less(X1,n) & ~$less(X1,0)) => ~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),0)))), 54.32/54.34 inference(rectify,[],[f109])). 54.32/54.34 tff(f167,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int] : ((~$less(size,X1) & ~$less(X1,0)) => (($less(X0,X1) & ~$less(X0,0)) <=> mem(X0,below(X1))))), 54.32/54.34 inference(rectify,[],[f110])). 54.32/54.34 tff(f168,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (($less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) => tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3)))) & ! [X4 : $int] : ((~$less(X4,X1) & $less(X4,n)) => ($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)))))), 54.32/54.34 inference(rectify,[],[f111])). 54.32/54.34 tff(f169,plain,( 54.32/54.34 ! [X0 : $int,X1 : set1] : ((~$less(X0,0) & ! [X2 : $int] : (mem(X2,X1) => (~$less(X2,0) & $less(X2,n))) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))))), 54.32/54.34 inference(rectify,[],[f112])). 54.32/54.34 tff(f175,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : $int,X2 : $int] : ($less(X1,X2) => sum(X0,X1,X2) = $sum(f(X0,X1),sum(X0,$sum(X1,1),X2)))), 54.32/54.34 inference(rectify,[],[f26])). 54.32/54.34 tff(f176,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : $int,X2 : $int] : ($less(X1,X2) => sum(X0,X1,X2) = $sum(sum(X0,X1,$sum(X2,$uminus(1))),f(X0,$sum(X2,$uminus(1)))))), 54.32/54.34 inference(rectify,[],[f113])). 54.32/54.34 tff(f177,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (~$less(X1,X2) => sum(X0,X1,X2) = 0)), 54.32/54.34 inference(rectify,[],[f114])). 54.32/54.34 tff(f178,plain,( 54.32/54.34 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 54.32/54.34 inference(rectify,[],[f115])). 54.32/54.34 tff(f191,plain,( 54.32/54.34 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (sort(X1,X2) => get(X1,X0,const(X1,X0,X2),X3) = X2)), 54.32/54.34 inference(rectify,[],[f12])). 54.32/54.34 tff(f194,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X2,X1) & ~$less(X3,X2)) => sum(X0,X1,X3) = $sum(sum(X0,X1,X2),sum(X0,X2,X3)))), 54.32/54.34 inference(rectify,[],[f116])). 54.32/54.34 tff(f195,plain,( 54.32/54.34 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (! [X4 : $int] : (($less(X4,X3) & ~$less(X4,X2)) => f(X0,X4) = f(X1,X4)) => sum(X0,X2,X3) = sum(X1,X2,X3))), 54.32/54.34 inference(rectify,[],[f117])). 54.32/54.35 tff(f196,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (($less(X4,n) & ~$less(X4,X0)) => mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1)) & ! [X5 : map_int_int] : (solution(X5,X0) => (! [X6 : $int] : (($less(X6,n) & ~$less(X6,X0)) => mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1)) => ~$less(X2,sum(X5,X0,n)))) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 54.32/54.35 inference(rectify,[],[f118])). 54.32/54.35 tff(f200,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (sort(X0,X3) => (sort(X0,X4) => ! [X5 : uni] : (X3 != X4 => get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4))))), 54.32/54.35 inference(rectify,[],[f49])). 54.32/54.35 tff(f201,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (sort(X1,X5) => (X3 = X4 => get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5))), 54.32/54.35 inference(rectify,[],[f92])). 54.32/54.35 tff(f202,plain,( 54.32/54.35 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : (((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))))), 54.32/54.35 inference(ennf_transformation,[],[f119])). 54.32/54.35 tff(f203,plain,( 54.32/54.35 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0 & pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))))), 54.32/54.35 inference(flattening,[],[f202])). 54.32/54.35 tff(f205,plain,( 54.32/54.35 ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0))), 54.32/54.35 inference(ennf_transformation,[],[f142])). 54.32/54.35 tff(f206,plain,( 54.32/54.35 ! [X0 : $int] : (((cardinal(below(X0)) = X0 | $less(X0,0)) & (cardinal(below(X0)) = 0 | ~$less(X0,0))) | ($less(size,X0) | $less(X0,0)))), 54.32/54.35 inference(ennf_transformation,[],[f143])). 54.32/54.35 tff(f207,plain,( 54.32/54.35 ! [X0 : $int] : (((cardinal(below(X0)) = X0 | $less(X0,0)) & (cardinal(below(X0)) = 0 | ~$less(X0,0))) | $less(size,X0) | $less(X0,0))), 54.32/54.35 inference(flattening,[],[f206])). 54.32/54.35 tff(f209,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : (cardinal(X1) = $sum(1,cardinal(remove(X0,X1))) | ~mem(X0,X1))), 54.32/54.35 inference(ennf_transformation,[],[f28])). 54.32/54.35 tff(f210,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X0 | $less(X0,X1))), 54.32/54.35 inference(ennf_transformation,[],[f156])). 54.32/54.35 tff(f211,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X0 | $less(X1,X0))), 54.32/54.35 inference(ennf_transformation,[],[f157])). 54.32/54.35 tff(f212,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (max(X0,X1) = X1 | $less(X1,X0))), 54.32/54.35 inference(ennf_transformation,[],[f158])). 54.32/54.35 tff(f213,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (min(X0,X1) = X1 | $less(X0,X1))), 54.32/54.35 inference(ennf_transformation,[],[f159])). 54.32/54.35 tff(f214,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (min(X0,X1) = min(X1,X0) | $less(X0,X1))), 54.32/54.35 inference(ennf_transformation,[],[f160])). 54.32/54.35 tff(f215,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (max(X0,X1) = max(X1,X0) | $less(X0,X1))), 54.32/54.35 inference(ennf_transformation,[],[f161])). 54.32/54.35 tff(f221,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : ((~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),0) | (~$less(X1,n) | $less(X1,0))) | (~$less(X0,n) | $less(X0,0)))), 54.32/54.35 inference(ennf_transformation,[],[f166])). 54.32/54.35 tff(f222,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),0) | ~$less(X1,n) | $less(X1,0) | ~$less(X0,n) | $less(X0,0))), 54.32/54.35 inference(flattening,[],[f221])). 54.32/54.35 tff(f223,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : ((($less(X0,X1) & ~$less(X0,0)) <=> mem(X0,below(X1))) | ($less(size,X1) | $less(X1,0)))), 54.32/54.35 inference(ennf_transformation,[],[f167])). 54.32/54.35 tff(f224,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : ((($less(X0,X1) & ~$less(X0,0)) <=> mem(X0,below(X1))) | $less(size,X1) | $less(X1,0))), 54.32/54.35 inference(flattening,[],[f223])). 54.32/54.35 tff(f225,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | (~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1))) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | ($less(X4,X1) | ~$less(X4,n)))))), 54.32/54.35 inference(ennf_transformation,[],[f168])). 54.32/54.35 tff(f226,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : (solution(X0,X1) <=> (! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n))))), 54.32/54.35 inference(flattening,[],[f225])). 54.32/54.35 tff(f227,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : ((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) <=> pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))))), 54.32/54.35 inference(ennf_transformation,[],[f169])). 54.32/54.35 tff(f228,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (sum(X0,X1,X2) = $sum(f(X0,X1),sum(X0,$sum(X1,1),X2)) | ~$less(X1,X2))), 54.32/54.35 inference(ennf_transformation,[],[f175])). 54.32/54.35 tff(f229,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (sum(X0,X1,X2) = $sum(sum(X0,X1,$sum(X2,$uminus(1))),f(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2))), 54.32/54.35 inference(ennf_transformation,[],[f176])). 54.32/54.35 tff(f230,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int,X2 : $int] : (sum(X0,X1,X2) = 0 | $less(X1,X2))), 54.32/54.35 inference(ennf_transformation,[],[f177])). 54.32/54.35 tff(f231,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 54.32/54.35 inference(ennf_transformation,[],[f178])). 54.32/54.35 tff(f232,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 54.32/54.35 inference(flattening,[],[f231])). 54.32/54.35 tff(f239,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni] : (get(X1,X0,const(X1,X0,X2),X3) = X2 | ~sort(X1,X2))), 54.32/54.35 inference(ennf_transformation,[],[f191])). 54.32/54.35 tff(f242,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (sum(X0,X1,X3) = $sum(sum(X0,X1,X2),sum(X0,X2,X3)) | ($less(X2,X1) | $less(X3,X2)))), 54.32/54.35 inference(ennf_transformation,[],[f194])). 54.32/54.35 tff(f243,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int,X2 : $int,X3 : $int] : (sum(X0,X1,X3) = $sum(sum(X0,X1,X2),sum(X0,X2,X3)) | $less(X2,X1) | $less(X3,X2))), 54.32/54.35 inference(flattening,[],[f242])). 54.32/54.35 tff(f244,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | ? [X4 : $int] : (f(X0,X4) != f(X1,X4) & ($less(X4,X3) & ~$less(X4,X2))))), 54.32/54.35 inference(ennf_transformation,[],[f195])). 54.32/54.35 tff(f245,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | ? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X3) & ~$less(X4,X2)))), 54.32/54.35 inference(flattening,[],[f244])). 54.32/54.35 tff(f246,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | (~$less(X4,n) | $less(X4,X0))) & ! [X5 : map_int_int] : ((~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & ($less(X6,n) & ~$less(X6,X0)))) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 54.32/54.35 inference(ennf_transformation,[],[f196])). 54.32/54.35 tff(f247,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : ((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) <=> post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))))), 54.32/54.35 inference(flattening,[],[f246])). 54.32/54.35 tff(f249,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : ((! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort(X0,X4)) | ~sort(X0,X3))), 54.32/54.35 inference(ennf_transformation,[],[f200])). 54.32/54.35 tff(f250,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : (! [X5 : uni] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4) | ~sort(X0,X4) | ~sort(X0,X3))), 54.32/54.35 inference(flattening,[],[f249])). 54.32/54.35 tff(f251,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4) | ~sort(X1,X5))), 54.32/54.35 inference(ennf_transformation,[],[f201])). 54.32/54.35 tff(f252,plain,( 54.32/54.35 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5))), 54.32/54.35 inference(flattening,[],[f251])). 54.32/54.35 tff(f253,plain,( 54.32/54.35 ? [X0 : $int,X1 : set1,X2 : map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] : ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = X0 & pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))) => ((~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = sK0 & pre(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2)))))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f254,plain,( 54.32/54.35 (~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))) & n = sK0 & pre(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1)))) & inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2))))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f203,f253])). 54.32/54.35 tff(f255,plain,( 54.32/54.35 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | ? [X1 : $int] : mem(X1,X0)))), 54.32/54.35 inference(nnf_transformation,[],[f144])). 54.32/54.35 tff(f256,plain,( 54.32/54.35 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | ? [X2 : $int] : mem(X2,X0)))), 54.32/54.35 inference(rectify,[],[f255])). 54.32/54.35 tff(f257,plain,( 54.32/54.35 ! [X0 : set1] : (? [X2 : $int] : mem(X2,X0) => mem(sK3(X0),X0))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f258,plain,( 54.32/54.35 ! [X0 : set1] : ((! [X1 : $int] : ~mem(X1,X0) | cardinal(X0) != 0) & (cardinal(X0) = 0 | mem(sK3(X0),X0)))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f256,f257])). 54.32/54.35 tff(f263,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (((($less(X0,X1) & ~$less(X0,0)) | ~mem(X0,below(X1))) & (mem(X0,below(X1)) | (~$less(X0,X1) | $less(X0,0)))) | $less(size,X1) | $less(X1,0))), 54.32/54.35 inference(nnf_transformation,[],[f224])). 54.32/54.35 tff(f264,plain,( 54.32/54.35 ! [X0 : $int,X1 : $int] : (((($less(X0,X1) & ~$less(X0,0)) | ~mem(X0,below(X1))) & (mem(X0,below(X1)) | ~$less(X0,X1) | $less(X0,0))) | $less(size,X1) | $less(X1,0))), 54.32/54.35 inference(flattening,[],[f263])). 54.32/54.35 tff(f265,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | (? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) | ? [X4 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) & ~$less(X4,X1) & $less(X4,n)))) & ((! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n))) | ~solution(X0,X1)))), 54.32/54.35 inference(nnf_transformation,[],[f226])). 54.32/54.35 tff(f266,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) | ? [X4 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) & ~$less(X4,X1) & $less(X4,n))) & ((! [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) | ~$less(X2,X3) | ~$less(X3,n) | $less(X2,X1)) & ! [X4 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) | $less(X4,X1) | ~$less(X4,n))) | ~solution(X0,X1)))), 54.32/54.35 inference(flattening,[],[f265])). 54.32/54.35 tff(f267,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | ? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) | ? [X4 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) & ~$less(X4,X1) & $less(X4,n))) & ((! [X5 : $int,X6 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X5))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X6))) | ~$less(X5,X6) | ~$less(X6,n) | $less(X5,X1)) & ! [X7 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),0)) | $less(X7,X1) | ~$less(X7,n))) | ~solution(X0,X1)))), 54.32/54.35 inference(rectify,[],[f266])). 54.32/54.35 tff(f268,plain,( 54.32/54.35 ! [X1 : $int,X0 : map_int_int] : (? [X2 : $int,X3 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) & $less(X2,X3) & $less(X3,n) & ~$less(X2,X1)) => (tb2t2(get(int,int,t2tb(X0),t2tb2(sK6(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK7(X0,X1)))) & $less(sK6(X0,X1),sK7(X0,X1)) & $less(sK7(X0,X1),n) & ~$less(sK6(X0,X1),X1)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f269,plain,( 54.32/54.35 ! [X1 : $int,X0 : map_int_int] : (? [X4 : $int] : ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)) & ~$less(X4,X1) & $less(X4,n)) => ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) & ~$less(sK8(X0,X1),X1) & $less(sK8(X0,X1),n)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f270,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : $int] : ((solution(X0,X1) | (tb2t2(get(int,int,t2tb(X0),t2tb2(sK6(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK7(X0,X1)))) & $less(sK6(X0,X1),sK7(X0,X1)) & $less(sK7(X0,X1),n) & ~$less(sK6(X0,X1),X1)) | ((~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) & ~$less(sK8(X0,X1),X1) & $less(sK8(X0,X1),n))) & ((! [X5 : $int,X6 : $int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X5))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X6))) | ~$less(X5,X6) | ~$less(X6,n) | $less(X5,X1)) & ! [X7 : $int] : (($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),n) & ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),0)) | $less(X7,X1) | ~$less(X7,n))) | ~solution(X0,X1)))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f267,f269,f268])). 54.32/54.35 tff(f271,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | ($less(X0,0) | ? [X2 : $int] : (($less(X2,0) | ~$less(X2,n)) & mem(X2,X1)) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0))))), 54.32/54.35 inference(nnf_transformation,[],[f227])). 54.32/54.35 tff(f272,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | ? [X2 : $int] : (($less(X2,0) | ~$less(X2,n)) & mem(X2,X1)) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)))), 54.32/54.35 inference(flattening,[],[f271])). 54.32/54.35 tff(f273,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | ? [X3 : $int] : (($less(X3,0) | ~$less(X3,n)) & mem(X3,X1)) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)))), 54.32/54.35 inference(rectify,[],[f272])). 54.32/54.35 tff(f274,plain,( 54.32/54.35 ! [X1 : set1] : (? [X3 : $int] : (($less(X3,0) | ~$less(X3,n)) & mem(X3,X1)) => (($less(sK9(X1),0) | ~$less(sK9(X1),n)) & mem(sK9(X1),X1)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f275,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1] : (((~$less(X0,0) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,n)) | ~mem(X2,X1)) & cardinal(X1) = $sum(n,$uminus(X0)) & ~$less(n,X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) & (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | (($less(sK9(X1),0) | ~$less(sK9(X1),n)) & mem(sK9(X1),X1)) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f273,f274])). 54.32/54.35 tff(f278,plain,( 54.32/54.35 ! [X3 : $int,X2 : $int,X1 : map_int_int,X0 : map_int_int] : (? [X4 : $int] : (f(X0,X4) != f(X1,X4) & $less(X4,X3) & ~$less(X4,X2)) => (f(X0,sK10(X0,X1,X2,X3)) != f(X1,sK10(X0,X1,X2,X3)) & $less(sK10(X0,X1,X2,X3),X3) & ~$less(sK10(X0,X1,X2,X3),X2)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f279,plain,( 54.32/54.35 ! [X0 : map_int_int,X1 : map_int_int,X2 : $int,X3 : $int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | (f(X0,sK10(X0,X1,X2,X3)) != f(X1,sK10(X0,X1,X2,X3)) & $less(sK10(X0,X1,X2,X3),X3) & ~$less(sK10(X0,X1,X2,X3),X2)))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f245,f278])). 54.32/54.35 tff(f280,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | ($less(X2,0) | ? [X4 : $int] : (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) & $less(X4,n) & ~$less(X4,X0)) | ? [X5 : map_int_int] : ($less(X2,sum(X5,X0,n)) & ! [X6 : $int] : (mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) | ~$less(X6,n) | $less(X6,X0)) & solution(X5,X0)) | sum(X3,X0,n) != X2 | ~solution(X3,X0))))), 54.32/54.35 inference(nnf_transformation,[],[f247])). 54.32/54.35 tff(f281,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ? [X4 : $int] : (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) & $less(X4,n) & ~$less(X4,X0)) | ? [X5 : map_int_int] : ($less(X2,sum(X5,X0,n)) & ! [X6 : $int] : (mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) | ~$less(X6,n) | $less(X6,X0)) & solution(X5,X0)) | sum(X3,X0,n) != X2 | ~solution(X3,X0)))), 54.32/54.35 inference(flattening,[],[f280])). 54.32/54.35 tff(f282,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | ? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ? [X7 : $int] : (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X7))),X1) & $less(X7,n) & ~$less(X7,X0)) | ? [X8 : map_int_int] : ($less(X2,sum(X8,X0,n)) & ! [X9 : $int] : (mem(tb2t2(get(int,int,t2tb(X8),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0)) & solution(X8,X0)) | sum(X3,X0,n) != X2 | ~solution(X3,X0)))), 54.32/54.35 inference(rectify,[],[f281])). 54.32/54.35 tff(f283,plain,( 54.32/54.35 ! [X5 : map_int_int,X1 : set1,X0 : $int] : (? [X6 : $int] : (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X1) & $less(X6,n) & ~$less(X6,X0)) => (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(sK11(X0,X1,X5)))),X1) & $less(sK11(X0,X1,X5),n) & ~$less(sK11(X0,X1,X5),X0)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f284,plain,( 54.32/54.35 ! [X3 : map_int_int,X1 : set1,X0 : $int] : (? [X7 : $int] : (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X7))),X1) & $less(X7,n) & ~$less(X7,X0)) => (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(sK12(X0,X1,X3)))),X1) & $less(sK12(X0,X1,X3),n) & ~$less(sK12(X0,X1,X3),X0)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f285,plain,( 54.32/54.35 ! [X2 : $int,X1 : set1,X0 : $int] : (? [X8 : map_int_int] : ($less(X2,sum(X8,X0,n)) & ! [X9 : $int] : (mem(tb2t2(get(int,int,t2tb(X8),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0)) & solution(X8,X0)) => ($less(X2,sum(sK13(X0,X1,X2),X0,n)) & ! [X9 : $int] : (mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,X2)),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0)) & solution(sK13(X0,X1,X2),X0)))), 54.32/54.35 introduced(choice_axiom,[])). 54.32/54.35 tff(f286,plain,( 54.32/54.35 ! [X0 : $int,X1 : set1,X2 : $int,X3 : map_int_int] : (((~$less(X2,0) & ! [X4 : $int] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0)) & ! [X5 : map_int_int] : (~$less(X2,sum(X5,X0,n)) | (~mem(tb2t2(get(int,int,t2tb(X5),t2tb2(sK11(X0,X1,X5)))),X1) & $less(sK11(X0,X1,X5),n) & ~$less(sK11(X0,X1,X5),X0)) | ~solution(X5,X0)) & sum(X3,X0,n) = X2 & solution(X3,X0)) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) & (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | (~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(sK12(X0,X1,X3)))),X1) & $less(sK12(X0,X1,X3),n) & ~$less(sK12(X0,X1,X3),X0)) | ($less(X2,sum(sK13(X0,X1,X2),X0,n)) & ! [X9 : $int] : (mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,X2)),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0)) & solution(sK13(X0,X1,X2),X0)) | sum(X3,X0,n) != X2 | ~solution(X3,X0)))), 54.32/54.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f282,f285,f284,f283])). 54.32/54.35 tff(f287,plain,( 54.32/54.35 inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2))))), 54.32/54.35 inference(cnf_transformation,[],[f254])). 54.32/54.35 tff(f288,plain,( 54.32/54.35 pre(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))))), 54.32/54.35 inference(cnf_transformation,[],[f254])). 54.32/54.35 tff(f289,plain,( 54.32/54.35 n = sK0), 54.32/54.35 inference(cnf_transformation,[],[f254])). 54.32/54.35 tff(f290,plain,( 54.32/54.35 ~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2)))) | ~post(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 54.32/54.35 inference(cnf_transformation,[],[f254])). 54.32/54.35 tff(f292,plain,( 54.32/54.35 ~$less(n,0)), 54.32/54.35 inference(cnf_transformation,[],[f98])). 54.32/54.35 tff(f293,plain,( 54.32/54.35 ~$less(size,n)), 54.32/54.35 inference(cnf_transformation,[],[f99])). 54.32/54.35 tff(f296,plain,( 54.32/54.35 ( ! [X0:$int] : (sort(int,t2tb2(X0))) )), 54.32/54.35 inference(cnf_transformation,[],[f45])). 54.32/54.35 tff(f297,plain,( 54.32/54.35 ( ! [X0:set1] : (sort(set2,t2tb4(X0))) )), 54.32/54.35 inference(cnf_transformation,[],[f1])). 54.32/54.35 tff(f298,plain,( 54.32/54.35 ( ! [X0:uni] : (t2tb(tb2t(X0)) = X0) )), 54.32/54.35 inference(cnf_transformation,[],[f122])). 54.32/54.35 tff(f305,plain,( 54.32/54.35 ( ! [X0:uni] : (t2tb2(tb2t2(X0)) = X0) )), 54.32/54.35 inference(cnf_transformation,[],[f129])). 54.32/54.35 tff(f306,plain,( 54.32/54.35 ( ! [X0:set1] : (tb2t4(t2tb4(X0)) = X0) )), 54.32/54.35 inference(cnf_transformation,[],[f130])). 54.32/54.35 tff(f325,plain,( 54.32/54.35 ( ! [X0:uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(set2,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f205])). 54.32/54.35 tff(f327,plain,( 54.32/54.35 ( ! [X0:$int] : (cardinal(below(X0)) = X0 | $less(X0,0) | $less(size,X0) | $less(X0,0)) )), 54.32/54.35 inference(cnf_transformation,[],[f207])). 54.32/54.35 tff(f328,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(X0) = 0 | mem(sK3(X0),X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f258])). 54.32/54.35 tff(f329,plain,( 54.32/54.35 ( ! [X0:set1,X1:$int] : (~mem(X1,X0) | cardinal(X0) != 0) )), 54.32/54.35 inference(cnf_transformation,[],[f258])). 54.32/54.35 tff(f339,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f152])). 54.32/54.35 tff(f340,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(max(X0,X1),X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f152])). 54.32/54.35 tff(f341,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(X1,min(X0,X1))) )), 54.32/54.35 inference(cnf_transformation,[],[f153])). 54.32/54.35 tff(f342,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(X0,min(X0,X1))) )), 54.32/54.35 inference(cnf_transformation,[],[f153])). 54.32/54.35 tff(f344,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | max(X0,X1) = X0) )), 54.32/54.35 inference(cnf_transformation,[],[f155])). 54.32/54.35 tff(f345,plain,( 54.32/54.35 ( ! [X0:$int,X1:set1] : (cardinal(X1) = $sum(1,cardinal(remove(X0,X1))) | ~mem(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f209])). 54.32/54.35 tff(f346,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X0 | $less(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f210])). 54.32/54.35 tff(f347,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (min(X0,X1) = X0 | $less(X1,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f211])). 54.32/54.35 tff(f348,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (max(X0,X1) = X1 | $less(X1,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f212])). 54.32/54.35 tff(f349,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (min(X0,X1) = X1 | $less(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f213])). 54.32/54.35 tff(f350,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (min(X0,X1) = min(X1,X0) | $less(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f214])). 54.32/54.35 tff(f351,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (max(X0,X1) = max(X1,X0) | $less(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f215])). 54.32/54.35 tff(f356,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X0)),t2tb2(X1))),0) | ~$less(X1,n) | $less(X1,0) | ~$less(X0,n) | $less(X0,0)) )), 54.32/54.35 inference(cnf_transformation,[],[f222])). 54.32/54.35 tff(f357,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (mem(X0,below(X1)) | ~$less(X0,X1) | $less(X0,0) | $less(size,X1) | $less(X1,0)) )), 54.32/54.35 inference(cnf_transformation,[],[f264])). 54.32/54.35 tff(f358,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : (~$less(X0,0) | ~mem(X0,below(X1)) | $less(size,X1) | $less(X1,0)) )), 54.32/54.35 inference(cnf_transformation,[],[f264])). 54.32/54.35 tff(f359,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : ($less(X0,X1) | ~mem(X0,below(X1)) | $less(size,X1) | $less(X1,0)) )), 54.32/54.35 inference(cnf_transformation,[],[f264])). 54.32/54.35 tff(f360,plain,( 54.32/54.35 ( ! [X0:map_int_int,X7:$int,X1:$int] : (~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),0) | $less(X7,X1) | ~$less(X7,n) | ~solution(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f361,plain,( 54.32/54.35 ( ! [X0:map_int_int,X7:$int,X1:$int] : ($less(tb2t2(get(int,int,t2tb(X0),t2tb2(X7))),n) | $less(X7,X1) | ~$less(X7,n) | ~solution(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f362,plain,( 54.32/54.35 ( ! [X6:$int,X0:map_int_int,X5:$int,X1:$int] : (tb2t2(get(int,int,t2tb(X0),t2tb2(X5))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X6))) | ~$less(X5,X6) | ~$less(X6,n) | $less(X5,X1) | ~solution(X0,X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f363,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | ~$less(sK6(X0,X1),X1) | $less(sK8(X0,X1),n)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f364,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | ~$less(sK6(X0,X1),X1) | ~$less(sK8(X0,X1),X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f365,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | ~$less(sK6(X0,X1),X1) | ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f366,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK7(X0,X1),n) | $less(sK8(X0,X1),n)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f367,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK7(X0,X1),n) | ~$less(sK8(X0,X1),X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f368,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK7(X0,X1),n) | ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f369,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK6(X0,X1),sK7(X0,X1)) | $less(sK8(X0,X1),n)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f370,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK6(X0,X1),sK7(X0,X1)) | ~$less(sK8(X0,X1),X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f371,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | $less(sK6(X0,X1),sK7(X0,X1)) | ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f372,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | tb2t2(get(int,int,t2tb(X0),t2tb2(sK6(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK7(X0,X1)))) | $less(sK8(X0,X1),n)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f373,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | tb2t2(get(int,int,t2tb(X0),t2tb2(sK6(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK7(X0,X1)))) | ~$less(sK8(X0,X1),X1)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f374,plain,( 54.32/54.35 ( ! [X0:map_int_int,X1:$int] : (solution(X0,X1) | tb2t2(get(int,int,t2tb(X0),t2tb2(sK6(X0,X1)))) = tb2t2(get(int,int,t2tb(X0),t2tb2(sK7(X0,X1)))) | ~$less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),n) | $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK8(X0,X1)))),0)) )), 54.32/54.35 inference(cnf_transformation,[],[f270])). 54.32/54.35 tff(f375,plain,( 54.32/54.35 ( ! [X0:$int,X1:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | mem(sK9(X1),X1) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f376,plain,( 54.32/54.35 ( ! [X0:$int,X1:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1)))) | $less(X0,0) | $less(sK9(X1),0) | ~$less(sK9(X1),n) | cardinal(X1) != $sum(n,$uminus(X0)) | $less(n,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f377,plain,( 54.32/54.35 ( ! [X0:$int,X1:set1] : (~$less(n,X0) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f378,plain,( 54.32/54.35 ( ! [X0:$int,X1:set1] : (cardinal(X1) = $sum(n,$uminus(X0)) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f379,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X1:set1] : ($less(X2,n) | ~mem(X2,X1) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f380,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X1:set1] : (~$less(X2,0) | ~mem(X2,X1) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))) )), 54.32/54.35 inference(cnf_transformation,[],[f275])). 54.32/54.35 tff(f387,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X1:$int] : (sum(X0,X1,X2) = $sum(f(X0,X1),sum(X0,$sum(X1,1),X2)) | ~$less(X1,X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f228])). 54.32/54.35 tff(f388,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X1:$int] : (sum(X0,X1,X2) = $sum(sum(X0,X1,$sum(X2,$uminus(1))),f(X0,$sum(X2,$uminus(1)))) | ~$less(X1,X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f229])). 54.32/54.35 tff(f389,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X1:$int] : (sum(X0,X1,X2) = 0 | $less(X1,X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f230])). 54.32/54.35 tff(f390,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X1:$int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f232])). 54.32/54.35 tff(f405,plain,( 54.32/54.35 ( ! [X2:uni,X0:ty,X3:uni,X1:ty] : (get(X1,X0,const(X1,X0,X2),X3) = X2 | ~sort(X1,X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f239])). 54.32/54.35 tff(f408,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:$int] : (sum(X0,X1,X3) = $sum(sum(X0,X1,X2),sum(X0,X2,X3)) | $less(X2,X1) | $less(X3,X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f243])). 54.32/54.35 tff(f409,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X3:$int,X1:map_int_int] : (sum(X0,X2,X3) = sum(X1,X2,X3) | ~$less(sK10(X0,X1,X2,X3),X2)) )), 54.32/54.35 inference(cnf_transformation,[],[f279])). 54.32/54.35 tff(f412,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~$less(sK12(X0,X1,X3),X0) | solution(sK13(X0,X1,X2),X0) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f413,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~$less(sK12(X0,X1,X3),X0) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,X2)),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f414,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~$less(sK12(X0,X1,X3),X0) | $less(X2,sum(sK13(X0,X1,X2),X0,n)) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f416,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | $less(sK12(X0,X1,X3),n) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,X2)),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f417,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | $less(sK12(X0,X1,X3),n) | $less(X2,sum(sK13(X0,X1,X2),X0,n)) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f419,plain,( 54.32/54.35 ( ! [X2:$int,X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3)))) | $less(X2,0) | ~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(sK12(X0,X1,X3)))),X1) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,X2)),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | sum(X3,X0,n) != X2 | ~solution(X3,X0)) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f426,plain,( 54.32/54.35 ( ! [X4:$int,X2:$int,X0:$int,X3:map_int_int,X1:set1] : (mem(tb2t2(get(int,int,t2tb(X3),t2tb2(X4))),X1) | ~$less(X4,n) | $less(X4,X0) | ~post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X2),t2tb(X3))))) )), 54.32/54.35 inference(cnf_transformation,[],[f286])). 54.32/54.35 tff(f431,plain,( 54.32/54.35 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,X2,X4) = get(X1,X0,set(X1,X0,X2,X3,X5),X4) | X3 = X4 | ~sort(X0,X4) | ~sort(X0,X3)) )), 54.32/54.35 inference(cnf_transformation,[],[f250])). 54.32/54.35 tff(f432,plain,( 54.32/54.35 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X3:uni,X1:ty] : (get(X1,X0,set(X1,X0,X2,X3,X5),X4) = X5 | X3 != X4 | ~sort(X1,X5)) )), 54.32/54.35 inference(cnf_transformation,[],[f252])). 54.32/54.35 tff(f435,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | ~mem(tb2t2(get(int,int,t2tb(X3),t2tb2(sK12(X0,X1,X3)))),X1) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,sum(X3,X0,n))),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f419])). 54.32/54.35 tff(f437,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | $less(sK12(X0,X1,X3),n) | $less(sum(X3,X0,n),sum(sK13(X0,X1,sum(X3,X0,n)),X0,n)) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f417])). 54.32/54.35 tff(f438,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | $less(sK12(X0,X1,X3),n) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,sum(X3,X0,n))),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f416])). 54.32/54.35 tff(f440,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | ~$less(sK12(X0,X1,X3),X0) | $less(sum(X3,X0,n),sum(sK13(X0,X1,sum(X3,X0,n)),X0,n)) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f414])). 54.32/54.35 tff(f441,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | ~$less(sK12(X0,X1,X3),X0) | mem(tb2t2(get(int,int,t2tb(sK13(X0,X1,sum(X3,X0,n))),t2tb2(X9))),X1) | ~$less(X9,n) | $less(X9,X0) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f413])). 54.32/54.35 tff(f442,plain,( 54.32/54.35 ( ! [X0:$int,X3:map_int_int,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X3,X0,n)),t2tb(X3)))) | $less(sum(X3,X0,n),0) | ~$less(sK12(X0,X1,X3),X0) | solution(sK13(X0,X1,sum(X3,X0,n)),X0) | ~solution(X3,X0)) )), 54.32/54.35 inference(equality_resolution,[],[f412])). 54.32/54.35 tff(f443,plain,( 54.32/54.35 ( ! [X4:uni,X2:uni,X0:ty,X5:uni,X1:ty] : (get(X1,X0,set(X1,X0,X2,X4,X5),X4) = X5 | ~sort(X1,X5)) )), 54.32/54.35 inference(equality_resolution,[],[f432])). 54.32/54.35 tff(f444,plain,( 54.32/54.35 ( ! [X0:$int] : (cardinal(below(X0)) = X0 | $less(X0,0) | $less(size,X0)) )), 54.32/54.35 inference(duplicate_literal_removal,[],[f327])). 54.32/54.35 tff(f445,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X1:$int] : (sum(X0,X1,X2) = $sum(sum(X0,X1,$sum(X2,-1)),f(X0,$sum(X2,-1))) | ~$less(X1,X2)) )), 54.32/54.35 inference(evaluation,[],[f388])). 54.32/54.35 tff(f447,plain,( 54.32/54.35 spl14_1 <=> ~post(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_1])])). 54.32/54.35 tff(f448,plain,( 54.32/54.35 ~post(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | ~spl14_1), 54.32/54.35 inference(avatar_component_clause,[],[f447])). 54.32/54.35 tff(f450,plain,( 54.32/54.35 spl14_3 <=> ~inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_3])])). 54.32/54.35 tff(f452,plain,( 54.32/54.35 ~spl14_1 | ~spl14_3), 54.32/54.35 inference(avatar_split_clause,[],[f290,f450,f447])). 54.32/54.35 tff(f454,plain,( 54.32/54.35 spl14_4 <=> n = sK0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_4])])). 54.32/54.35 tff(f455,plain,( 54.32/54.35 n = sK0 | ~spl14_4), 54.32/54.35 inference(avatar_component_clause,[],[f454])). 54.32/54.35 tff(f456,plain,( 54.32/54.35 spl14_4), 54.32/54.35 inference(avatar_split_clause,[],[f289,f454])). 54.32/54.35 tff(f458,plain,( 54.32/54.35 spl14_6 <=> pre(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_6])])). 54.32/54.35 tff(f459,plain,( 54.32/54.35 pre(tb2t3(tuple21(int,set2,t2tb2(sK0),t2tb4(sK1)))) | ~spl14_6), 54.32/54.35 inference(avatar_component_clause,[],[f458])). 54.32/54.35 tff(f460,plain,( 54.32/54.35 spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f288,f458])). 54.32/54.35 tff(f462,plain,( 54.32/54.35 spl14_2 <=> inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK2))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_2])])). 54.32/54.35 tff(f464,plain,( 54.32/54.35 spl14_2), 54.32/54.35 inference(avatar_split_clause,[],[f287,f462])). 54.32/54.35 tff(f465,plain,( 54.32/54.35 ~post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | (~spl14_1 | ~spl14_4)), 54.32/54.35 inference(forward_demodulation,[],[f448,f455])). 54.32/54.35 tff(f467,plain,( 54.32/54.35 spl14_9 <=> ~post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_9])])). 54.32/54.35 tff(f468,plain,( 54.32/54.35 ~post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) | ~spl14_9), 54.32/54.35 inference(avatar_component_clause,[],[f467])). 54.32/54.35 tff(f469,plain,( 54.32/54.35 ~spl14_9 | spl14_1 | ~spl14_4), 54.32/54.35 inference(avatar_split_clause,[],[f465,f454,f447,f467])). 54.32/54.35 tff(f470,plain,( 54.32/54.35 ~$less(n,sK0) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f459,f377])). 54.32/54.35 tff(f471,plain,( 54.32/54.35 cardinal(sK1) = $sum(n,$uminus(sK0)) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f459,f378])). 54.32/54.35 tff(f472,plain,( 54.32/54.35 ( ! [X0:$int] : (~mem(X0,sK1) | $less(X0,n)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f459,f379])). 54.32/54.35 tff(f473,plain,( 54.32/54.35 ( ! [X1:$int] : (~$less(X1,0) | ~mem(X1,sK1)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f459,f380])). 54.32/54.35 tff(f475,plain,( 54.32/54.35 pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK1)))) | (~spl14_4 | ~spl14_6)), 54.32/54.35 inference(superposition,[],[f459,f455])). 54.32/54.35 tff(f476,plain,( 54.32/54.35 ~$less(n,n) | (~spl14_4 | ~spl14_6)), 54.32/54.35 inference(forward_demodulation,[],[f470,f455])). 54.32/54.35 tff(f478,plain,( 54.32/54.35 spl14_11 <=> ~$less(n,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_11])])). 54.32/54.35 tff(f479,plain,( 54.32/54.35 ~$less(n,n) | ~spl14_11), 54.32/54.35 inference(avatar_component_clause,[],[f478])). 54.32/54.35 tff(f480,plain,( 54.32/54.35 ~spl14_11 | ~spl14_4 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f476,f458,f454,f478])). 54.32/54.35 tff(f481,plain,( 54.32/54.35 cardinal(sK1) = $sum(n,$uminus(n)) | (~spl14_4 | ~spl14_6)), 54.32/54.35 inference(forward_demodulation,[],[f471,f455])). 54.32/54.35 tff(f483,plain,( 54.32/54.35 spl14_12 <=> cardinal(sK1) = $sum(n,$uminus(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_12])])). 54.32/54.35 tff(f484,plain,( 54.32/54.35 cardinal(sK1) = $sum(n,$uminus(n)) | ~spl14_12), 54.32/54.35 inference(avatar_component_clause,[],[f483])). 54.32/54.35 tff(f485,plain,( 54.32/54.35 spl14_12 | ~spl14_4 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f481,f458,f454,f483])). 54.32/54.35 tff(f488,plain,( 54.32/54.35 spl14_14 <=> pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK1))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_14])])). 54.32/54.35 tff(f490,plain,( 54.32/54.35 spl14_14 | ~spl14_4 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f475,f458,f454,f488])). 54.32/54.35 tff(f496,plain,( 54.32/54.35 ( ! [X0:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) | $less(n,0) | mem(sK9(X0),X0) | cardinal(X0) != $sum(n,$uminus(n))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f375])). 54.32/54.35 tff(f497,plain,( 54.32/54.35 ( ! [X1:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))) | $less(n,0) | $less(sK9(X1),0) | ~$less(sK9(X1),n) | cardinal(X1) != $sum(n,$uminus(n))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f376])). 54.32/54.35 tff(f498,plain,( 54.32/54.35 ( ! [X2:set1,X3:$int] : (~pre(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2)))) | ~mem(n,X2)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f379])). 54.32/54.35 tff(f499,plain,( 54.32/54.35 max(n,n) = n | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f346])). 54.32/54.35 tff(f500,plain,( 54.32/54.35 min(n,n) = n | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f347])). 54.32/54.35 tff(f501,plain,( 54.32/54.35 max(n,n) = n | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f348])). 54.32/54.35 tff(f502,plain,( 54.32/54.35 min(n,n) = n | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f349])). 54.32/54.35 tff(f505,plain,( 54.32/54.35 ~mem(n,below(n)) | $less(size,n) | $less(n,0) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f359])). 54.32/54.35 tff(f508,plain,( 54.32/54.35 ( ! [X6:map_int_int,X7:$int] : (tb2t2(get(int,int,t2tb(X6),t2tb2(n))) != tb2t2(get(int,int,t2tb(X6),t2tb2(X7))) | ~$less(n,X7) | ~$less(X7,n) | ~solution(X6,n)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f362])). 54.32/54.35 tff(f509,plain,( 54.32/54.35 ( ! [X8:map_int_int] : (sum(X8,n,n) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f389])). 54.32/54.35 tff(f510,plain,( 54.32/54.35 ( ! [X9:$int] : (~$less($product(n,X9),$product(n,X9)) | $less(X9,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f479,f390])). 54.32/54.35 tff(f517,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(sK1) != cardinal(X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) | $less(n,0) | mem(sK9(X0),X0)) ) | (~spl14_11 | ~spl14_12)), 54.32/54.35 inference(forward_demodulation,[],[f496,f484])). 54.32/54.35 tff(f519,plain,( 54.32/54.35 spl14_16 <=> $less(n,0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_16])])). 54.32/54.35 tff(f520,plain,( 54.32/54.35 $less(n,0) | ~spl14_16), 54.32/54.35 inference(avatar_component_clause,[],[f519])). 54.32/54.35 tff(f522,plain,( 54.32/54.35 spl14_18 <=> ! [X0 : set1] : (cardinal(sK1) != cardinal(X0) | mem(sK9(X0),X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_18])])). 54.32/54.35 tff(f523,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(sK1) != cardinal(X0) | mem(sK9(X0),X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))))) ) | ~spl14_18), 54.32/54.35 inference(avatar_component_clause,[],[f522])). 54.32/54.35 tff(f524,plain,( 54.32/54.35 spl14_16 | spl14_18 | spl14_11 | ~spl14_12), 54.32/54.35 inference(avatar_split_clause,[],[f517,f483,f478,f522,f519])). 54.32/54.35 tff(f525,plain,( 54.32/54.35 ( ! [X1:set1] : (cardinal(sK1) != cardinal(X1) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))) | $less(n,0) | $less(sK9(X1),0) | ~$less(sK9(X1),n)) ) | (~spl14_11 | ~spl14_12)), 54.32/54.35 inference(forward_demodulation,[],[f497,f484])). 54.32/54.35 tff(f527,plain,( 54.32/54.35 spl14_20 <=> ! [X1 : set1] : (cardinal(sK1) != cardinal(X1) | ~$less(sK9(X1),n) | $less(sK9(X1),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_20])])). 54.32/54.35 tff(f528,plain,( 54.32/54.35 ( ! [X1:set1] : (cardinal(sK1) != cardinal(X1) | ~$less(sK9(X1),n) | $less(sK9(X1),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))))) ) | ~spl14_20), 54.32/54.35 inference(avatar_component_clause,[],[f527])). 54.32/54.35 tff(f529,plain,( 54.32/54.35 spl14_16 | spl14_20 | spl14_11 | ~spl14_12), 54.32/54.35 inference(avatar_split_clause,[],[f525,f483,f478,f527,f519])). 54.32/54.35 tff(f531,plain,( 54.32/54.35 spl14_22 <=> max(n,n) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_22])])). 54.32/54.35 tff(f533,plain,( 54.32/54.35 spl14_22 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f499,f478,f531])). 54.32/54.35 tff(f535,plain,( 54.32/54.35 spl14_24 <=> min(n,n) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_24])])). 54.32/54.35 tff(f537,plain,( 54.32/54.35 spl14_24 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f500,f478,f535])). 54.32/54.35 tff(f538,plain,( 54.32/54.35 spl14_22 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f501,f478,f531])). 54.32/54.35 tff(f539,plain,( 54.32/54.35 spl14_24 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f502,f478,f535])). 54.32/54.35 tff(f541,plain,( 54.32/54.35 spl14_26 <=> $less(size,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_26])])). 54.32/54.35 tff(f542,plain,( 54.32/54.35 $less(size,n) | ~spl14_26), 54.32/54.35 inference(avatar_component_clause,[],[f541])). 54.32/54.35 tff(f544,plain,( 54.32/54.35 spl14_29 <=> ~mem(n,below(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_29])])). 54.32/54.35 tff(f546,plain,( 54.32/54.35 spl14_16 | spl14_26 | ~spl14_29 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f505,f478,f544,f541,f519])). 54.32/54.35 tff(f554,plain,( 54.32/54.35 ( ! [X10:map_int_int,X11:$int,X9:$int] : (post(tb2t3(tuple21(int,set2,t2tb2(X9),t2tb4(sK1))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X10,X9,n)),t2tb(X10)))) | $less(tb2t2(get(int,int,t2tb(sK13(X9,sK1,sum(X10,X9,n))),t2tb2(X11))),n) | $less(sum(X10,X9,n),0) | $less(sK12(X9,sK1,X10),n) | ~$less(X11,n) | $less(X11,X9) | ~solution(X10,X9)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f472,f438])). 54.32/54.35 tff(f556,plain,( 54.32/54.35 $less(sK3(sK1),n) | cardinal(sK1) = 0 | ~spl14_6), 54.32/54.35 inference(resolution,[],[f472,f328])). 54.32/54.35 tff(f557,plain,( 54.32/54.35 ( ! [X15:$int] : ($less(sK9(sK1),n) | pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(sK1)))) | $less(X15,0) | cardinal(sK1) != $sum(n,$uminus(X15)) | $less(n,X15)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f472,f375])). 54.32/54.35 tff(f559,plain,( 54.32/54.35 spl14_30 <=> cardinal(sK1) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_30])])). 54.32/54.35 tff(f560,plain,( 54.32/54.35 cardinal(sK1) = 0 | ~spl14_30), 54.32/54.35 inference(avatar_component_clause,[],[f559])). 54.32/54.35 tff(f562,plain,( 54.32/54.35 spl14_32 <=> $less(sK3(sK1),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_32])])). 54.32/54.35 tff(f564,plain,( 54.32/54.35 spl14_30 | spl14_32 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f556,f458,f562,f559])). 54.32/54.35 tff(f566,plain,( 54.32/54.35 spl14_34 <=> ! [X15 : $int] : (pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(sK1)))) | $less(n,X15) | cardinal(sK1) != $sum(n,$uminus(X15)) | $less(X15,0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_34])])). 54.32/54.35 tff(f569,plain,( 54.32/54.35 spl14_36 <=> $less(sK9(sK1),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_36])])). 54.32/54.35 tff(f570,plain,( 54.32/54.35 $less(sK9(sK1),n) | ~spl14_36), 54.32/54.35 inference(avatar_component_clause,[],[f569])). 54.32/54.35 tff(f571,plain,( 54.32/54.35 spl14_34 | spl14_36 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f557,f458,f569,f566])). 54.32/54.35 tff(f588,plain,( 54.32/54.35 ( ! [X26:$int] : (~mem(X26,sK1) | ~mem(X26,below(0)) | $less(size,0) | $less(0,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f359])). 54.32/54.35 tff(f600,plain,( 54.32/54.35 ( ! [X57:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X57)))) | $less(0,0) | mem(sK9(X57),X57) | cardinal(X57) != $sum(n,$uminus(0))) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f375])). 54.32/54.35 tff(f601,plain,( 54.32/54.35 ( ! [X58:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X58)))) | $less(0,0) | $less(sK9(X58),0) | ~$less(sK9(X58),n) | cardinal(X58) != $sum(n,$uminus(0))) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f376])). 54.32/54.35 tff(f603,plain,( 54.32/54.35 ( ! [X60:$int] : (~mem(size,sK1) | ~$less(X60,0) | ~mem(X60,below(0)) | $less(0,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f358])). 54.32/54.35 tff(f604,plain,( 54.32/54.35 ( ! [X61:$int] : (~mem(size,sK1) | $less(X61,0) | ~mem(X61,below(0)) | $less(0,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f359])). 54.32/54.35 tff(f605,plain,( 54.32/54.35 ~mem(size,sK1) | cardinal(below(0)) = 0 | $less(0,0) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f473,f444])). 54.32/54.35 tff(f621,plain,( 54.32/54.35 ~mem(size,sK1) | cardinal(below(0)) = 0 | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f605])). 54.32/54.35 tff(f622,plain,( 54.32/54.35 ( ! [X61:$int] : (~mem(size,sK1) | $less(X61,0) | ~mem(X61,below(0))) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f604])). 54.32/54.35 tff(f623,plain,( 54.32/54.35 ( ! [X60:$int] : (~mem(size,sK1) | ~$less(X60,0) | ~mem(X60,below(0))) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f603])). 54.32/54.35 tff(f624,plain,( 54.32/54.35 ( ! [X58:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X58)))) | $less(sK9(X58),0) | ~$less(sK9(X58),n) | cardinal(X58) != $sum(n,0)) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f601])). 54.32/54.35 tff(f625,plain,( 54.32/54.35 ( ! [X58:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X58)))) | $less(sK9(X58),0) | ~$less(sK9(X58),n) | n != cardinal(X58)) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f624])). 54.32/54.35 tff(f626,plain,( 54.32/54.35 ( ! [X57:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X57)))) | mem(sK9(X57),X57) | cardinal(X57) != $sum(n,0)) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f600])). 54.32/54.35 tff(f627,plain,( 54.32/54.35 ( ! [X57:set1] : (~mem(n,sK1) | pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X57)))) | mem(sK9(X57),X57) | n != cardinal(X57)) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f626])). 54.32/54.35 tff(f629,plain,( 54.32/54.35 ( ! [X26:$int] : (~mem(X26,sK1) | ~mem(X26,below(0)) | $less(size,0)) ) | ~spl14_6), 54.32/54.35 inference(evaluation,[],[f588])). 54.32/54.35 tff(f631,plain,( 54.32/54.35 spl14_38 <=> $less(size,0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_38])])). 54.32/54.35 tff(f634,plain,( 54.32/54.35 spl14_40 <=> ! [X26 : $int] : (~mem(X26,sK1) | ~mem(X26,below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_40])])). 54.32/54.35 tff(f636,plain,( 54.32/54.35 spl14_38 | spl14_40 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f629,f458,f634,f631])). 54.32/54.35 tff(f638,plain,( 54.32/54.35 spl14_42 <=> ! [X57 : set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X57)))) | n != cardinal(X57) | mem(sK9(X57),X57))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_42])])). 54.32/54.35 tff(f641,plain,( 54.32/54.35 spl14_45 <=> ~mem(n,sK1)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_45])])). 54.32/54.35 tff(f643,plain,( 54.32/54.35 spl14_42 | ~spl14_45 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f627,f458,f641,f638])). 54.32/54.35 tff(f645,plain,( 54.32/54.35 spl14_46 <=> ! [X58 : set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X58)))) | n != cardinal(X58) | ~$less(sK9(X58),n) | $less(sK9(X58),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_46])])). 54.32/54.35 tff(f647,plain,( 54.32/54.35 spl14_46 | ~spl14_45 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f625,f458,f641,f645])). 54.32/54.35 tff(f649,plain,( 54.32/54.35 spl14_48 <=> ! [X60 : $int] : (~$less(X60,0) | ~mem(X60,below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_48])])). 54.32/54.35 tff(f652,plain,( 54.32/54.35 spl14_51 <=> ~mem(size,sK1)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_51])])). 54.32/54.35 tff(f654,plain,( 54.32/54.35 spl14_48 | ~spl14_51 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f623,f458,f652,f649])). 54.32/54.35 tff(f656,plain,( 54.32/54.35 spl14_52 <=> ! [X61 : $int] : ($less(X61,0) | ~mem(X61,below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_52])])). 54.32/54.35 tff(f658,plain,( 54.32/54.35 spl14_52 | ~spl14_51 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f622,f458,f652,f656])). 54.32/54.35 tff(f660,plain,( 54.32/54.35 spl14_54 <=> cardinal(below(0)) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_54])])). 54.32/54.35 tff(f661,plain,( 54.32/54.35 cardinal(below(0)) = 0 | ~spl14_54), 54.32/54.35 inference(avatar_component_clause,[],[f660])). 54.32/54.35 tff(f662,plain,( 54.32/54.35 spl14_54 | ~spl14_51 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f621,f458,f652,f660])). 54.32/54.35 tff(f663,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(sK1) = cardinal(X0) | ~pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))))) ) | ~spl14_12), 54.32/54.35 inference(superposition,[],[f484,f378])). 54.32/54.35 tff(f664,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(sK1) != cardinal(X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) | $less(n,0) | mem(sK9(X0),X0) | $less(n,n)) ) | ~spl14_12), 54.32/54.35 inference(superposition,[],[f375,f484])). 54.32/54.35 tff(f665,plain,( 54.32/54.35 ( ! [X1:set1] : (cardinal(sK1) != cardinal(X1) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))) | $less(n,0) | $less(sK9(X1),0) | ~$less(sK9(X1),n) | $less(n,n)) ) | ~spl14_12), 54.32/54.35 inference(superposition,[],[f376,f484])). 54.32/54.35 tff(f667,plain,( 54.32/54.35 ( ! [X0:set1] : (~pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) | cardinal(X0) = 0) ) | (~spl14_12 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f663,f560])). 54.32/54.35 tff(f676,plain,( 54.32/54.35 $false | ~spl14_16), 54.32/54.35 inference(resolution,[],[f520,f292])). 54.32/54.35 tff(f689,plain,( 54.32/54.35 ~spl14_16), 54.32/54.35 inference(avatar_contradiction_clause,[],[f676])). 54.32/54.35 tff(f690,plain,( 54.32/54.35 ( ! [X1:set1] : (cardinal(X1) != 0 | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))) | $less(n,0) | $less(sK9(X1),0) | ~$less(sK9(X1),n) | $less(n,n)) ) | (~spl14_12 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f665,f560])). 54.32/54.35 tff(f692,plain,( 54.32/54.35 spl14_10 <=> $less(n,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_10])])). 54.32/54.35 tff(f695,plain,( 54.32/54.35 spl14_56 <=> ! [X1 : set1] : (cardinal(X1) != 0 | ~$less(sK9(X1),n) | $less(sK9(X1),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_56])])). 54.32/54.35 tff(f697,plain,( 54.32/54.35 spl14_10 | spl14_16 | spl14_56 | ~spl14_12 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f690,f559,f483,f695,f519,f692])). 54.32/54.35 tff(f698,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(X0) != 0 | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) | $less(n,0) | mem(sK9(X0),X0) | $less(n,n)) ) | (~spl14_12 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f664,f560])). 54.32/54.35 tff(f700,plain,( 54.32/54.35 spl14_58 <=> ! [X0 : set1] : (cardinal(X0) != 0 | mem(sK9(X0),X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_58])])). 54.32/54.35 tff(f702,plain,( 54.32/54.35 spl14_10 | spl14_16 | spl14_58 | ~spl14_12 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f698,f559,f483,f700,f519,f692])). 54.32/54.35 tff(f703,plain,( 54.32/54.35 ( ! [X1:set1] : (cardinal(X1) != 0 | ~$less(sK9(X1),n) | $less(sK9(X1),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))))) ) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f528,f560])). 54.32/54.35 tff(f704,plain,( 54.32/54.35 ( ! [X0:set1] : (cardinal(X0) != 0 | mem(sK9(X0),X0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0))))) ) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f523,f560])). 54.32/54.35 tff(f706,plain,( 54.32/54.35 $false | ~spl14_26), 54.32/54.35 inference(resolution,[],[f542,f293])). 54.32/54.35 tff(f721,plain,( 54.32/54.35 ~spl14_26), 54.32/54.35 inference(avatar_contradiction_clause,[],[f706])). 54.32/54.35 tff(f729,plain,( 54.32/54.35 ( ! [X0:$int] : (pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(sK1)))) | $less(X0,0) | $less(sK9(sK1),0) | cardinal(sK1) != $sum(n,$uminus(X0)) | $less(n,X0)) ) | ~spl14_36), 54.32/54.35 inference(resolution,[],[f570,f376])). 54.32/54.35 tff(f731,plain,( 54.32/54.35 ( ! [X3:$int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(sK9(sK1))),t2tb2(X3))),0) | ~$less(X3,n) | $less(X3,0) | $less(sK9(sK1),0)) ) | ~spl14_36), 54.32/54.35 inference(resolution,[],[f570,f356])). 54.32/54.35 tff(f732,plain,( 54.32/54.35 ( ! [X4:$int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X4)),t2tb2(sK9(sK1)))),0) | $less(sK9(sK1),0) | ~$less(X4,n) | $less(X4,0)) ) | ~spl14_36), 54.32/54.35 inference(resolution,[],[f570,f356])). 54.32/54.35 tff(f743,plain,( 54.32/54.35 mem(sK9(sK1),below(n)) | $less(sK9(sK1),0) | $less(size,n) | $less(n,0) | ~spl14_36), 54.32/54.35 inference(resolution,[],[f570,f357])). 54.32/54.35 tff(f744,plain,( 54.32/54.35 ( ! [X0:$int] : ($sum(n,$uminus(X0)) != 0 | pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(sK1)))) | $less(X0,0) | $less(sK9(sK1),0) | $less(n,X0)) ) | (~spl14_30 | ~spl14_36)), 54.32/54.35 inference(forward_demodulation,[],[f729,f560])). 54.32/54.35 tff(f746,plain,( 54.32/54.35 spl14_60 <=> $less(sK9(sK1),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_60])])). 54.32/54.35 tff(f749,plain,( 54.32/54.35 spl14_62 <=> ! [X0 : $int] : ($sum(n,$uminus(X0)) != 0 | $less(n,X0) | $less(X0,0) | pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(sK1)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_62])])). 54.32/54.35 tff(f751,plain,( 54.32/54.35 spl14_60 | spl14_62 | ~spl14_30 | ~spl14_36), 54.32/54.35 inference(avatar_split_clause,[],[f744,f569,f559,f749,f746])). 54.32/54.35 tff(f753,plain,( 54.32/54.35 spl14_64 <=> ! [X3 : $int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(sK9(sK1))),t2tb2(X3))),0) | $less(X3,0) | ~$less(X3,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_64])])). 54.32/54.35 tff(f755,plain,( 54.32/54.35 spl14_60 | spl14_64 | ~spl14_36), 54.32/54.35 inference(avatar_split_clause,[],[f731,f569,f753,f746])). 54.32/54.35 tff(f757,plain,( 54.32/54.35 spl14_66 <=> ! [X4 : $int] : (~$less(tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X4)),t2tb2(sK9(sK1)))),0) | $less(X4,0) | ~$less(X4,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_66])])). 54.32/54.35 tff(f759,plain,( 54.32/54.35 spl14_60 | spl14_66 | ~spl14_36), 54.32/54.35 inference(avatar_split_clause,[],[f732,f569,f757,f746])). 54.32/54.35 tff(f761,plain,( 54.32/54.35 spl14_68 <=> mem(sK9(sK1),below(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_68])])). 54.32/54.35 tff(f763,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_60 | spl14_68 | ~spl14_36), 54.32/54.35 inference(avatar_split_clause,[],[f743,f569,f761,f746,f541,f519])). 54.32/54.35 tff(f797,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sum(X36,n,n),0) | $less(sK12(n,X37,X36),n) | $less(sum(X36,n,n),sum(sK13(n,X37,sum(X36,n,n)),n,n)) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f437,f509])). 54.32/54.35 tff(f806,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | $less(sum(X57,n,n),0) | ~$less(sK12(n,X58,X57),n) | $less(sum(X57,n,n),sum(sK13(n,X58,sum(X57,n,n)),n,n)) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f440,f509])). 54.32/54.35 tff(f848,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sK12(n,X37,X36),n) | $less(sum(X36,n,n),sum(sK13(n,X37,sum(X36,n,n)),n,n)) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f797,f509])). 54.32/54.35 tff(f849,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sK12(n,X37,X36),n) | $less(sum(X36,n,n),sum(sK13(n,X37,sum(X36,n,n)),n,n)) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f848])). 54.32/54.35 tff(f850,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : ($less(sum(X36,n,n),0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sK12(n,X37,X36),n) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f849,f509])). 54.32/54.35 tff(f851,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sK12(n,X37,X36),n) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f850,f509])). 54.32/54.35 tff(f852,plain,( 54.32/54.35 ( ! [X37:set1,X36:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X37))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X36)))) | $less(sK12(n,X37,X36),n) | ~solution(X36,n)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f851])). 54.32/54.35 tff(f859,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | ~$less(sK12(n,X58,X57),n) | $less(sum(X57,n,n),sum(sK13(n,X58,sum(X57,n,n)),n,n)) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f806,f509])). 54.32/54.35 tff(f860,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | ~$less(sK12(n,X58,X57),n) | $less(sum(X57,n,n),sum(sK13(n,X58,sum(X57,n,n)),n,n)) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f859])). 54.32/54.35 tff(f861,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : ($less(sum(X57,n,n),0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | ~$less(sK12(n,X58,X57),n) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f860,f509])). 54.32/54.35 tff(f862,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | ~$less(sK12(n,X58,X57),n) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f861,f509])). 54.32/54.35 tff(f863,plain,( 54.32/54.35 ( ! [X57:map_int_int,X58:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X58))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X57)))) | ~$less(sK12(n,X58,X57),n) | ~solution(X57,n)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f862])). 54.32/54.35 tff(f937,plain,( 54.32/54.35 ( ! [X0:$int] : ($less(X0,0) | max($product(n,X0),$product(n,X0)) = $product(n,X0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f346])). 54.32/54.35 tff(f938,plain,( 54.32/54.35 ( ! [X1:$int] : ($less(X1,0) | min($product(n,X1),$product(n,X1)) = $product(n,X1)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f347])). 54.32/54.35 tff(f944,plain,( 54.32/54.35 ( ! [X8:map_int_int,X7:$int] : (~$less(tb2t2(get(int,int,t2tb(X8),t2tb2($product(n,X7)))),0) | $less(X7,0) | ~$less($product(n,X7),n) | ~solution(X8,$product(n,X7))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f360])). 54.32/54.35 tff(f945,plain,( 54.32/54.35 ( ! [X10:map_int_int,X9:$int] : (~$less($product(n,X9),n) | $less(tb2t2(get(int,int,t2tb(X10),t2tb2($product(n,X9)))),n) | $less(X9,0) | ~solution(X10,$product(n,X9))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f361])). 54.32/54.35 tff(f947,plain,( 54.32/54.35 ( ! [X14:$int,X15:map_int_int] : ($less(X14,0) | sum(X15,$product(n,X14),$product(n,X14)) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f389])). 54.32/54.35 tff(f948,plain,( 54.32/54.35 ( ! [X17:$int,X16:$int] : (~$less($product($product(n,X16),X17),$product($product(n,X16),X17)) | $less(X16,0) | $less(X17,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f390])). 54.32/54.35 tff(f949,plain,( 54.32/54.35 ( ! [X19:map_int_int,X20:$int,X18:$int] : ($less(X20,$product(n,X18)) | sum(X19,$product(n,X18),X20) = $sum(sum(X19,$product(n,X18),$product(n,X18)),sum(X19,$product(n,X18),X20)) | $less(X18,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f408])). 54.32/54.35 tff(f950,plain,( 54.32/54.35 ( ! [X23:$int,X21:$int,X22:map_int_int] : ($less($product(n,X21),X23) | sum(X22,X23,$product(n,X21)) = $sum(sum(X22,X23,$product(n,X21)),sum(X22,$product(n,X21),$product(n,X21))) | $less(X21,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f510,f408])). 54.32/54.35 tff(f1009,plain,( 54.32/54.35 ( ! [X0:set1,X1:$int] : (cardinal(X0) != $sum(n,$uminus(X1)) | $less(X1,0) | mem(sK9(X0),X0) | ~mem(n,X0) | $less(n,X1)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f498,f375])). 54.32/54.35 tff(f1010,plain,( 54.32/54.35 ( ! [X2:set1,X3:$int] : (cardinal(X2) != $sum(n,$uminus(X3)) | $less(X3,0) | $less(sK9(X2),0) | ~$less(sK9(X2),n) | ~mem(n,X2) | $less(n,X3)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f498,f376])). 54.32/54.35 tff(f1013,plain,( 54.32/54.35 ( ! [X0:uni,X1:set1] : (~pre(tb2t3(tuple21(int,set2,X0,t2tb4(X1)))) | ~mem(n,X1)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f498,f305])). 54.32/54.35 tff(f1014,plain,( 54.32/54.35 ( ! [X0:uni,X1:$int] : (~pre(tb2t3(tuple21(int,set2,t2tb2(X1),X0))) | ~mem(n,tb2t4(X0)) | ~sort(set2,X0)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f498,f325])). 54.32/54.35 tff(f1056,plain,( 54.32/54.35 ( ! [X0:uni] : (~pre(tb2t3(tuple21(int,set2,t2tb2(n),X0))) | cardinal(tb2t4(X0)) = 0 | ~sort(set2,X0)) ) | (~spl14_12 | ~spl14_30)), 54.32/54.35 inference(superposition,[],[f667,f325])). 54.32/54.35 tff(f1102,plain,( 54.32/54.35 ( ! [X0:$int] : (0 != X0 | mem(sK9(below(X0)),below(X0)) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(X0))))) | $less(X0,0) | $less(size,X0)) ) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(superposition,[],[f704,f444])). 54.32/54.35 tff(f1104,plain,( 54.32/54.35 ( ! [X3:set1] : (0 != 0 | mem(sK9(X3),X3) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X3)))) | mem(sK3(X3),X3)) ) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(superposition,[],[f704,f328])). 54.32/54.35 tff(f1107,plain,( 54.32/54.35 ( ! [X3:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X3)))) | mem(sK9(X3),X3) | mem(sK3(X3),X3)) ) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(trivial_inequality_removal,[],[f1104])). 54.32/54.35 tff(f1210,plain,( 54.32/54.35 ( ! [X0:$int] : (0 != X0 | ~$less(sK9(below(X0)),n) | $less(sK9(below(X0)),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(X0))))) | $less(X0,0) | $less(size,X0)) ) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(superposition,[],[f703,f444])). 54.32/54.35 tff(f1212,plain,( 54.32/54.35 ( ! [X3:set1] : (0 != 0 | ~$less(sK9(X3),n) | $less(sK9(X3),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X3)))) | mem(sK3(X3),X3)) ) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(superposition,[],[f703,f328])). 54.32/54.35 tff(f1215,plain,( 54.32/54.35 ( ! [X3:set1] : (~$less(sK9(X3),n) | $less(sK9(X3),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X3)))) | mem(sK3(X3),X3)) ) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(trivial_inequality_removal,[],[f1212])). 54.32/54.35 tff(f1218,plain,( 54.32/54.35 ( ! [X0:uni,X1:$int] : (tb2t2(get(int,int,X0,t2tb2(n))) != tb2t2(get(int,int,X0,t2tb2(X1))) | ~$less(n,X1) | ~$less(X1,n) | ~solution(tb2t(X0),n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f508,f298])). 54.32/54.35 tff(f1617,plain,( 54.32/54.35 ( ! [X24:$int,X23:map_int_int,X25:$int,X22:$int] : (~$less(X25,n) | $less(sum(X23,X22,n),0) | $less(sK12(X22,sK1,X23),n) | ~$less(X24,n) | $less(X24,X22) | ~solution(X23,X22) | mem(tb2t2(get(int,int,t2tb(X23),t2tb2(X25))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X22,sK1,sum(X23,X22,n))),t2tb2(X24))),n) | $less(X25,X22)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f554,f426])). 54.32/54.35 tff(f1984,plain,( 54.32/54.35 ( ! [X26:$int,X24:$int,X23:map_int_int,X25:map_int_int] : (sum(X23,$product(n,X24),$product(n,X24)) = 0 | tb2t2(get(int,int,t2tb(X25),t2tb2(0))) != tb2t2(get(int,int,t2tb(X25),t2tb2(X24))) | ~$less(0,n) | $less(X24,X26) | ~solution(X25,X26)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f362])). 54.32/54.35 tff(f1986,plain,( 54.32/54.35 ( ! [X30:$int,X29:map_int_int] : (sum(X29,$product(n,max(0,X30)),$product(n,max(0,X30))) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f340])). 54.32/54.35 tff(f1987,plain,( 54.32/54.35 ( ! [X31:map_int_int,X32:$int] : (sum(X31,$product(n,max(X32,0)),$product(n,max(X32,0))) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f339])). 54.32/54.35 tff(f1992,plain,( 54.32/54.35 ( ! [X43:$int,X44:$int,X42:map_int_int] : (~$less(X44,n) | sum(X42,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X43)),t2tb2(X44)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X43)),t2tb2(X44))))) = 0 | $less(X44,0) | ~$less(X43,n) | $less(X43,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f356])). 54.32/54.35 tff(f1994,plain,( 54.32/54.35 ( ! [X50:$int,X48:map_int_int,X51:$int,X49:map_int_int] : (~$less(X50,n) | $less(X50,X51) | sum(X48,$product(n,tb2t2(get(int,int,t2tb(X49),t2tb2(X50)))),$product(n,tb2t2(get(int,int,t2tb(X49),t2tb2(X50))))) = 0 | ~solution(X49,X51)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f360])). 54.32/54.35 tff(f1998,plain,( 54.32/54.35 ( ! [X59:map_int_int,X60:map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X60),t2tb2(sK8(X60,0)))),n) | solution(X60,0) | sum(X59,$product(n,sK6(X60,0)),$product(n,sK6(X60,0))) = 0 | $less(tb2t2(get(int,int,t2tb(X60),t2tb2(sK8(X60,0)))),0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f947,f365])). 54.32/54.35 tff(f2011,plain,( 54.32/54.35 spl14_71 <=> ~$less(0,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_71])])). 54.32/54.35 tff(f2012,plain,( 54.32/54.35 ~$less(0,n) | ~spl14_71), 54.32/54.35 inference(avatar_component_clause,[],[f2011])). 54.32/54.35 tff(f2014,plain,( 54.32/54.35 spl14_72 <=> ! [X25 : map_int_int,X23 : map_int_int,X24 : $int,X26 : $int] : (sum(X23,$product(n,X24),$product(n,X24)) = 0 | ~solution(X25,X26) | $less(X24,X26) | tb2t2(get(int,int,t2tb(X25),t2tb2(0))) != tb2t2(get(int,int,t2tb(X25),t2tb2(X24))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_72])])). 54.32/54.35 tff(f2016,plain,( 54.32/54.35 ~spl14_71 | spl14_72 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f1984,f478,f2014,f2011])). 54.32/54.35 tff(f2018,plain,( 54.32/54.35 max(0,n) = 0 | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f346])). 54.32/54.35 tff(f2019,plain,( 54.32/54.35 min(n,0) = n | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f347])). 54.32/54.35 tff(f2020,plain,( 54.32/54.35 max(n,0) = 0 | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f348])). 54.32/54.35 tff(f2021,plain,( 54.32/54.35 min(0,n) = n | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f349])). 54.32/54.35 tff(f2022,plain,( 54.32/54.35 min(n,0) = min(0,n) | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f350])). 54.32/54.35 tff(f2023,plain,( 54.32/54.35 max(n,0) = max(0,n) | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f351])). 54.32/54.35 tff(f2024,plain,( 54.32/54.35 ~mem(0,below(n)) | $less(size,n) | $less(n,0) | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f359])). 54.32/54.35 tff(f2028,plain,( 54.32/54.35 ( ! [X6:map_int_int] : (sum(X6,0,n) = 0) ) | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f389])). 54.32/54.35 tff(f2038,plain,( 54.32/54.35 spl14_74 <=> max(0,n) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_74])])). 54.32/54.35 tff(f2039,plain,( 54.32/54.35 max(0,n) = 0 | ~spl14_74), 54.32/54.35 inference(avatar_component_clause,[],[f2038])). 54.32/54.35 tff(f2040,plain,( 54.32/54.35 spl14_74 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2018,f2011,f2038])). 54.32/54.35 tff(f2042,plain,( 54.32/54.35 spl14_76 <=> min(n,0) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_76])])). 54.32/54.35 tff(f2044,plain,( 54.32/54.35 spl14_76 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2019,f2011,f2042])). 54.32/54.35 tff(f2046,plain,( 54.32/54.35 spl14_78 <=> max(n,0) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_78])])). 54.32/54.35 tff(f2047,plain,( 54.32/54.35 max(n,0) = 0 | ~spl14_78), 54.32/54.35 inference(avatar_component_clause,[],[f2046])). 54.32/54.35 tff(f2048,plain,( 54.32/54.35 spl14_78 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2020,f2011,f2046])). 54.32/54.35 tff(f2050,plain,( 54.32/54.35 spl14_80 <=> min(0,n) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_80])])). 54.32/54.35 tff(f2052,plain,( 54.32/54.35 spl14_80 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2021,f2011,f2050])). 54.32/54.35 tff(f2054,plain,( 54.32/54.35 spl14_82 <=> min(n,0) = min(0,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_82])])). 54.32/54.35 tff(f2056,plain,( 54.32/54.35 spl14_82 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2022,f2011,f2054])). 54.32/54.35 tff(f2058,plain,( 54.32/54.35 spl14_84 <=> max(n,0) = max(0,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_84])])). 54.32/54.35 tff(f2060,plain,( 54.32/54.35 spl14_84 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2023,f2011,f2058])). 54.32/54.35 tff(f2062,plain,( 54.32/54.35 spl14_87 <=> ~mem(0,below(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_87])])). 54.32/54.35 tff(f2063,plain,( 54.32/54.35 ~mem(0,below(n)) | ~spl14_87), 54.32/54.35 inference(avatar_component_clause,[],[f2062])). 54.32/54.35 tff(f2064,plain,( 54.32/54.35 spl14_16 | spl14_26 | ~spl14_87 | spl14_71), 54.32/54.35 inference(avatar_split_clause,[],[f2024,f2011,f2062,f541,f519])). 54.32/54.35 tff(f2072,plain,( 54.32/54.35 ( ! [X17:map_int_int,X18:$int,X16:$int] : (max($product(n,X16),$product(n,X16)) = $product(n,X16) | tb2t2(get(int,int,t2tb(X17),t2tb2(0))) != tb2t2(get(int,int,t2tb(X17),t2tb2(X16))) | ~$less(0,n) | $less(X16,X18) | ~solution(X17,X18)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f362])). 54.32/54.35 tff(f2074,plain,( 54.32/54.35 ( ! [X20:$int] : (max($product(n,max(0,X20)),$product(n,max(0,X20))) = $product(n,max(0,X20))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f340])). 54.32/54.35 tff(f2076,plain,( 54.32/54.35 max($product(n,n),$product(n,n)) = $product(n,n) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f292])). 54.32/54.35 tff(f2077,plain,( 54.32/54.35 ( ! [X22:set1] : (max($product(n,n),$product(n,n)) = $product(n,n) | ~pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X22))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f377])). 54.32/54.35 tff(f2082,plain,( 54.32/54.35 ( ! [X33:$int,X31:map_int_int,X32:$int] : (~$less(X32,n) | $less(X32,X33) | max($product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32)))),$product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32))))) = $product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32)))) | ~solution(X31,X33)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f360])). 54.32/54.35 tff(f2086,plain,( 54.32/54.35 ( ! [X38:map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X38),t2tb2(sK8(X38,0)))),n) | solution(X38,0) | max($product(n,sK6(X38,0)),$product(n,sK6(X38,0))) = $product(n,sK6(X38,0)) | $less(tb2t2(get(int,int,t2tb(X38),t2tb2(sK8(X38,0)))),0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f937,f365])). 54.32/54.35 tff(f2099,plain,( 54.32/54.35 spl14_88 <=> ! [X16 : $int,X18 : $int,X17 : map_int_int] : (max($product(n,X16),$product(n,X16)) = $product(n,X16) | ~solution(X17,X18) | $less(X16,X18) | tb2t2(get(int,int,t2tb(X17),t2tb2(0))) != tb2t2(get(int,int,t2tb(X17),t2tb2(X16))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_88])])). 54.32/54.35 tff(f2101,plain,( 54.32/54.35 ~spl14_71 | spl14_88 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2072,f478,f2099,f2011])). 54.32/54.35 tff(f2103,plain,( 54.32/54.35 spl14_90 <=> max($product(n,n),$product(n,n)) = $product(n,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_90])])). 54.32/54.35 tff(f2104,plain,( 54.32/54.35 max($product(n,n),$product(n,n)) = $product(n,n) | ~spl14_90), 54.32/54.35 inference(avatar_component_clause,[],[f2103])). 54.32/54.35 tff(f2105,plain,( 54.32/54.35 spl14_90 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2076,f478,f2103])). 54.32/54.35 tff(f2107,plain,( 54.32/54.35 spl14_92 <=> ! [X22 : set1] : ~pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X22))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_92])])). 54.32/54.35 tff(f2109,plain,( 54.32/54.35 spl14_92 | spl14_90 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2077,f478,f2103,f2107])). 54.32/54.35 tff(f2118,plain,( 54.32/54.35 ( ! [X17:map_int_int,X18:$int,X16:$int] : (min($product(n,X16),$product(n,X16)) = $product(n,X16) | tb2t2(get(int,int,t2tb(X17),t2tb2(0))) != tb2t2(get(int,int,t2tb(X17),t2tb2(X16))) | ~$less(0,n) | $less(X16,X18) | ~solution(X17,X18)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f362])). 54.32/54.35 tff(f2120,plain,( 54.32/54.35 ( ! [X20:$int] : (min($product(n,max(0,X20)),$product(n,max(0,X20))) = $product(n,max(0,X20))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f340])). 54.32/54.35 tff(f2121,plain,( 54.32/54.35 ( ! [X21:$int] : (min($product(n,max(X21,0)),$product(n,max(X21,0))) = $product(n,max(X21,0))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f339])). 54.32/54.35 tff(f2122,plain,( 54.32/54.35 min($product(n,n),$product(n,n)) = $product(n,n) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f292])). 54.32/54.35 tff(f2123,plain,( 54.32/54.35 ( ! [X22:set1] : (min($product(n,n),$product(n,n)) = $product(n,n) | ~pre(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X22))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f377])). 54.32/54.35 tff(f2128,plain,( 54.32/54.35 ( ! [X33:$int,X31:map_int_int,X32:$int] : (~$less(X32,n) | $less(X32,X33) | min($product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32)))),$product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32))))) = $product(n,tb2t2(get(int,int,t2tb(X31),t2tb2(X32)))) | ~solution(X31,X33)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f360])). 54.32/54.35 tff(f2132,plain,( 54.32/54.35 ( ! [X38:map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X38),t2tb2(sK8(X38,0)))),n) | solution(X38,0) | min($product(n,sK6(X38,0)),$product(n,sK6(X38,0))) = $product(n,sK6(X38,0)) | $less(tb2t2(get(int,int,t2tb(X38),t2tb2(sK8(X38,0)))),0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f365])). 54.32/54.35 tff(f2139,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X51,0,n)),t2tb(X51)))) | $less(sum(X51,0,n),0) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f442])). 54.32/54.35 tff(f2141,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X56,0,n)),t2tb(X56)))) | $less(sum(X56,0,n),0) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f938,f440])). 54.32/54.35 tff(f2145,plain,( 54.32/54.35 spl14_94 <=> min($product(n,n),$product(n,n)) = $product(n,n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_94])])). 54.32/54.35 tff(f2147,plain,( 54.32/54.35 spl14_94 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2122,f478,f2145])). 54.32/54.35 tff(f2148,plain,( 54.32/54.35 spl14_92 | spl14_94 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2123,f478,f2145,f2107])). 54.32/54.35 tff(f2150,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | $less(sum(X51,0,n),0) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2139,f2028])). 54.32/54.35 tff(f2151,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2150,f2028])). 54.32/54.35 tff(f2152,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2151])). 54.32/54.35 tff(f2153,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (solution(sK13(0,X50,0),0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2152,f2028])). 54.32/54.35 tff(f2158,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | $less(sum(X56,0,n),0) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2141,f2028])). 54.32/54.35 tff(f2159,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2158,f2028])). 54.32/54.35 tff(f2160,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2159])). 54.32/54.35 tff(f2161,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : ($less(sum(X56,0,n),0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2160,f2028])). 54.32/54.35 tff(f2162,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : ($less(0,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(forward_demodulation,[],[f2161,f2028])). 54.32/54.35 tff(f2163,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2162])). 54.32/54.35 tff(f2183,plain,( 54.32/54.35 ( ! [X0:$int,X1:$int] : ($less(X1,0) | $less(X0,0) | max($product($product(n,X0),X1),$product($product(n,X0),X1)) = $product($product(n,X0),X1)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f948,f346])). 54.32/54.35 tff(f2184,plain,( 54.32/54.35 ( ! [X2:$int,X3:$int] : ($less(X3,0) | $less(X2,0) | min($product($product(n,X2),X3),$product($product(n,X2),X3)) = $product($product(n,X2),X3)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f948,f347])). 54.32/54.35 tff(f2191,plain,( 54.32/54.35 ( ! [X19:map_int_int,X17:$int,X18:$int] : (~$less($product($product(n,X17),X18),n) | $less(X18,0) | $less(tb2t2(get(int,int,t2tb(X19),t2tb2($product($product(n,X17),X18)))),n) | $less(X17,0) | ~solution(X19,$product($product(n,X17),X18))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f948,f361])). 54.32/54.35 tff(f2193,plain,( 54.32/54.35 ( ! [X26:map_int_int,X24:$int,X25:$int] : ($less(X25,0) | $less(X24,0) | sum(X26,$product($product(n,X24),X25),$product($product(n,X24),X25)) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f948,f389])). 54.32/54.35 tff(f2205,plain,( 54.32/54.35 ( ! [X4:set1,X5:$int] : (~mem(X5,X4) | mem(sK3(X4),X4) | $less(X5,n) | mem(sK9(X4),X4)) ) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(resolution,[],[f1107,f379])). 54.32/54.35 tff(f2245,plain,( 54.32/54.35 ( ! [X8:$int,X7:$int] : ($sum(n,$uminus(X8)) != X7 | $less(X8,0) | mem(sK9(below(X7)),below(X7)) | ~mem(n,below(X7)) | $less(n,X8) | $less(X7,0) | $less(size,X7)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1009,f444])). 54.32/54.35 tff(f2257,plain,( 54.32/54.35 max(0,n) = 0 | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f346])). 54.32/54.35 tff(f2259,plain,( 54.32/54.35 max(n,0) = 0 | ~spl14_71), 54.32/54.35 inference(resolution,[],[f2012,f348])). 54.32/54.35 tff(f2283,plain,( 54.32/54.35 ( ! [X9:set1] : ($less(sK9(X9),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X9)))) | mem(sK3(X9),X9) | ~mem(sK9(X9),below(n)) | $less(size,n) | $less(n,0)) ) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(resolution,[],[f1215,f359])). 54.32/54.35 tff(f2296,plain,( 54.32/54.35 spl14_96 <=> ! [X9 : set1] : ($less(sK9(X9),0) | ~mem(sK9(X9),below(n)) | mem(sK3(X9),X9) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X9)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_96])])). 54.32/54.35 tff(f2298,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_96 | ~spl14_20 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f2283,f559,f527,f2296,f541,f519])). 54.32/54.35 tff(f2324,plain,( 54.32/54.35 ( ! [X4:$int,X3:set1] : ($sum(n,$uminus(X4)) != 0 | $less(X4,0) | $less(sK9(X3),0) | ~$less(sK9(X3),n) | ~mem(n,X3) | $less(n,X4) | mem(sK3(X3),X3)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1010,f328])). 54.32/54.35 tff(f2326,plain,( 54.32/54.35 ( ! [X8:$int,X7:$int] : ($sum(n,$uminus(X8)) != X7 | $less(X8,0) | $less(sK9(below(X7)),0) | ~$less(sK9(below(X7)),n) | ~mem(n,below(X7)) | $less(n,X8) | $less(X7,0) | $less(size,X7)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1010,f444])). 54.32/54.35 tff(f2330,plain,( 54.32/54.35 spl14_98 <=> ! [X3 : set1] : ($less(sK9(X3),0) | mem(sK3(X3),X3) | ~mem(n,X3) | ~$less(sK9(X3),n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_98])])). 54.32/54.35 tff(f2331,plain,( 54.32/54.35 ( ! [X3:set1] : (~$less(sK9(X3),n) | mem(sK3(X3),X3) | ~mem(n,X3) | $less(sK9(X3),0)) ) | ~spl14_98), 54.32/54.35 inference(avatar_component_clause,[],[f2330])). 54.32/54.35 tff(f2333,plain,( 54.32/54.35 spl14_100 <=> ! [X4 : $int] : ($sum(n,$uminus(X4)) != 0 | $less(n,X4) | $less(X4,0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_100])])). 54.32/54.35 tff(f2334,plain,( 54.32/54.35 ( ! [X4:$int] : ($sum(n,$uminus(X4)) != 0 | $less(n,X4) | $less(X4,0)) ) | ~spl14_100), 54.32/54.35 inference(avatar_component_clause,[],[f2333])). 54.32/54.35 tff(f2335,plain,( 54.32/54.35 spl14_98 | spl14_100 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2324,f478,f2333,f2330])). 54.32/54.35 tff(f2346,plain,( 54.32/54.35 ( ! [X28:$int,X29:map_int_int] : (~$less($product(n,X28),n) | $less(X28,0) | ~solution(X29,$product(n,X28)) | cardinal(below(tb2t2(get(int,int,t2tb(X29),t2tb2($product(n,X28)))))) = tb2t2(get(int,int,t2tb(X29),t2tb2($product(n,X28)))) | $less(size,tb2t2(get(int,int,t2tb(X29),t2tb2($product(n,X28)))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f444])). 54.32/54.35 tff(f2349,plain,( 54.32/54.35 ( ! [X35:map_int_int,X36:map_int_int,X34:$int] : (~$less($product(n,X34),n) | $less(X34,0) | ~solution(X35,$product(n,X34)) | sum(X36,$product(n,tb2t2(get(int,int,t2tb(X35),t2tb2($product(n,X34))))),$product(n,tb2t2(get(int,int,t2tb(X35),t2tb2($product(n,X34)))))) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f947])). 54.32/54.35 tff(f2350,plain,( 54.32/54.35 ( ! [X37:$int,X38:map_int_int] : (~$less($product(n,X37),n) | $less(X37,0) | ~solution(X38,$product(n,X37)) | max(tb2t2(get(int,int,t2tb(X38),t2tb2($product(n,X37)))),0) = tb2t2(get(int,int,t2tb(X38),t2tb2($product(n,X37))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f346])). 54.32/54.35 tff(f2351,plain,( 54.32/54.35 ( ! [X39:$int,X40:map_int_int] : (~$less($product(n,X39),n) | $less(X39,0) | ~solution(X40,$product(n,X39)) | min(0,tb2t2(get(int,int,t2tb(X40),t2tb2($product(n,X39))))) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f347])). 54.32/54.35 tff(f2352,plain,( 54.32/54.35 ( ! [X41:$int,X42:map_int_int] : (~$less($product(n,X41),n) | $less(X41,0) | ~solution(X42,$product(n,X41)) | max(0,tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41))))) = tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f348])). 54.32/54.35 tff(f2353,plain,( 54.32/54.35 ( ! [X43:$int,X44:map_int_int] : (~$less($product(n,X43),n) | $less(X43,0) | ~solution(X44,$product(n,X43)) | min(tb2t2(get(int,int,t2tb(X44),t2tb2($product(n,X43)))),0) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f349])). 54.32/54.35 tff(f2354,plain,( 54.32/54.35 ( ! [X45:$int,X46:map_int_int] : (~$less($product(n,X45),n) | $less(X45,0) | ~solution(X46,$product(n,X45)) | min(tb2t2(get(int,int,t2tb(X46),t2tb2($product(n,X45)))),0) = min(0,tb2t2(get(int,int,t2tb(X46),t2tb2($product(n,X45)))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f350])). 54.32/54.35 tff(f2355,plain,( 54.32/54.35 ( ! [X47:$int,X48:map_int_int] : (~$less($product(n,X47),n) | $less(X47,0) | ~solution(X48,$product(n,X47)) | max(tb2t2(get(int,int,t2tb(X48),t2tb2($product(n,X47)))),0) = max(0,tb2t2(get(int,int,t2tb(X48),t2tb2($product(n,X47)))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f351])). 54.32/54.35 tff(f2356,plain,( 54.32/54.35 ( ! [X50:map_int_int,X49:$int] : ($less(X49,0) | ~$less($product(n,X49),n) | ~solution(X50,$product(n,X49)) | ~mem(tb2t2(get(int,int,t2tb(X50),t2tb2($product(n,X49)))),below(0)) | $less(size,0) | $less(0,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f359])). 54.32/54.35 tff(f2358,plain,( 54.32/54.35 ( ! [X54:$int,X56:map_int_int,X55:map_int_int] : ($less(X54,0) | ~$less($product(n,X54),n) | ~solution(X55,$product(n,X54)) | $less(tb2t2(get(int,int,t2tb(X56),t2tb2(tb2t2(get(int,int,t2tb(X55),t2tb2($product(n,X54))))))),n) | ~$less(tb2t2(get(int,int,t2tb(X55),t2tb2($product(n,X54)))),n) | ~solution(X56,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f361])). 54.32/54.35 tff(f2360,plain,( 54.32/54.35 ( ! [X61:$int,X62:map_int_int,X63:map_int_int] : (~$less($product(n,X61),n) | $less(X61,0) | ~solution(X62,$product(n,X61)) | sum(X63,tb2t2(get(int,int,t2tb(X62),t2tb2($product(n,X61)))),0) = 0) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f389])). 54.32/54.35 tff(f2363,plain,( 54.32/54.35 ( ! [X74:$int,X72:map_int_int,X71:$int,X73:map_int_int] : (~$less($product(n,X71),n) | $less(X71,0) | ~solution(X72,$product(n,X71)) | sum(X73,X74,tb2t2(get(int,int,t2tb(X72),t2tb2($product(n,X71))))) = $sum(sum(X73,X74,0),sum(X73,0,tb2t2(get(int,int,t2tb(X72),t2tb2($product(n,X71)))))) | $less(0,X74)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f944,f408])). 54.32/54.35 tff(f2370,plain,( 54.32/54.35 ( ! [X50:map_int_int,X49:$int] : ($less(X49,0) | ~$less($product(n,X49),n) | ~solution(X50,$product(n,X49)) | ~mem(tb2t2(get(int,int,t2tb(X50),t2tb2($product(n,X49)))),below(0)) | $less(size,0)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f2356])). 54.32/54.35 tff(f2376,plain,( 54.32/54.35 spl14_102 <=> ! [X49 : $int,X50 : map_int_int] : ($less(X49,0) | ~mem(tb2t2(get(int,int,t2tb(X50),t2tb2($product(n,X49)))),below(0)) | ~solution(X50,$product(n,X49)) | ~$less($product(n,X49),n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_102])])). 54.32/54.35 tff(f2378,plain,( 54.32/54.35 spl14_38 | spl14_102 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2370,f478,f2376,f631])). 54.32/54.35 tff(f2380,plain,( 54.32/54.35 ( ! [X54:$int,X56:map_int_int,X55:map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X55),t2tb2($product(n,X54)))),n) | $less(X54,0) | ~$less($product(n,X54),n) | ~solution(X55,$product(n,X54)) | $less(tb2t2(get(int,int,t2tb(X56),get(int,int,t2tb(X55),t2tb2($product(n,X54))))),n) | ~solution(X56,0)) ) | ~spl14_11), 54.32/54.35 inference(forward_demodulation,[],[f2358,f305])). 54.32/54.35 tff(f2405,plain,( 54.32/54.35 ( ! [X17:$int,X16:map_int_int] : ($less(tb2t2(get(int,int,t2tb(X16),t2tb2($product(n,X17)))),n) | $less(X17,0) | ~solution(X16,$product(n,X17)) | ~mem($product(n,X17),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f945,f359])). 54.32/54.35 tff(f2418,plain,( 54.32/54.35 spl14_104 <=> ! [X16 : map_int_int,X17 : $int] : ($less(tb2t2(get(int,int,t2tb(X16),t2tb2($product(n,X17)))),n) | ~mem($product(n,X17),below(n)) | ~solution(X16,$product(n,X17)) | $less(X17,0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_104])])). 54.32/54.35 tff(f2420,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_104 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2405,f478,f2418,f541,f519])). 54.32/54.35 tff(f2421,plain,( 54.32/54.35 mem(sK9(below(0)),below(0)) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0))))) | $less(0,0) | $less(size,0) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(equality_resolution,[],[f1102])). 54.32/54.35 tff(f2422,plain,( 54.32/54.35 mem(sK9(below(0)),below(0)) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0))))) | $less(size,0) | (~spl14_18 | ~spl14_30)), 54.32/54.35 inference(evaluation,[],[f2421])). 54.32/54.35 tff(f2424,plain,( 54.32/54.35 spl14_106 <=> pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_106])])). 54.32/54.35 tff(f2425,plain,( 54.32/54.35 pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0))))) | ~spl14_106), 54.32/54.35 inference(avatar_component_clause,[],[f2424])). 54.32/54.35 tff(f2427,plain,( 54.32/54.35 spl14_108 <=> mem(sK9(below(0)),below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_108])])). 54.32/54.35 tff(f2428,plain,( 54.32/54.35 mem(sK9(below(0)),below(0)) | ~spl14_108), 54.32/54.35 inference(avatar_component_clause,[],[f2427])). 54.32/54.35 tff(f2429,plain,( 54.32/54.35 spl14_38 | spl14_106 | spl14_108 | ~spl14_18 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f2422,f559,f522,f2427,f2424,f631])). 54.32/54.35 tff(f2431,plain,( 54.32/54.35 ( ! [X4:$int,X2:uni,X3:uni] : (tb2t2(X3) != tb2t2(get(int,int,set(int,int,X2,t2tb2(n),X3),t2tb2(X4))) | ~$less(n,X4) | ~$less(X4,n) | ~solution(tb2t(set(int,int,X2,t2tb2(n),X3)),n) | ~sort(int,X3)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1218,f443])). 54.32/54.35 tff(f2432,plain,( 54.32/54.35 ( ! [X6:uni,X8:$int,X7:uni,X5:uni] : (tb2t2(get(int,int,X5,t2tb2(n))) != tb2t2(get(int,int,set(int,int,X5,X6,X7),t2tb2(X8))) | ~$less(n,X8) | ~$less(X8,n) | ~solution(tb2t(set(int,int,X5,X6,X7)),n) | t2tb2(n) = X6 | ~sort(int,t2tb2(n)) | ~sort(int,X6)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1218,f431])). 54.32/54.35 tff(f2433,plain,( 54.32/54.35 ( ! [X0:uni,X1:uni] : (tb2t2(get(int,int,X1,X0)) != tb2t2(get(int,int,X1,t2tb2(n))) | ~$less(n,tb2t2(X0)) | ~$less(tb2t2(X0),n) | ~solution(tb2t(X1),n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1218,f305])). 54.32/54.35 tff(f2434,plain,( 54.32/54.35 ( ! [X0:uni,X1:$int] : (tb2t2(X0) != tb2t2(get(int,int,const(int,int,X0),t2tb2(n))) | ~$less(n,X1) | ~$less(X1,n) | ~solution(tb2t(const(int,int,X0)),n) | ~sort(int,X0)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1218,f405])). 54.32/54.35 tff(f2435,plain,( 54.32/54.35 ( ! [X4:uni,X2:uni,X3:$int] : (tb2t2(X4) != tb2t2(get(int,int,set(int,int,X2,t2tb2(X3),X4),t2tb2(n))) | ~$less(n,X3) | ~$less(X3,n) | ~solution(tb2t(set(int,int,X2,t2tb2(X3),X4)),n) | ~sort(int,X4)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1218,f443])). 54.32/54.35 tff(f2443,plain,( 54.32/54.35 spl14_111 <=> ~sort(int,t2tb2(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_111])])). 54.32/54.35 tff(f2444,plain,( 54.32/54.35 ~sort(int,t2tb2(n)) | ~spl14_111), 54.32/54.35 inference(avatar_component_clause,[],[f2443])). 54.32/54.35 tff(f2446,plain,( 54.32/54.35 spl14_112 <=> ! [X5 : uni,X7 : uni,X8 : $int,X6 : uni] : (tb2t2(get(int,int,X5,t2tb2(n))) != tb2t2(get(int,int,set(int,int,X5,X6,X7),t2tb2(X8))) | ~sort(int,X6) | t2tb2(n) = X6 | ~solution(tb2t(set(int,int,X5,X6,X7)),n) | ~$less(X8,n) | ~$less(n,X8))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_112])])). 54.32/54.35 tff(f2448,plain,( 54.32/54.35 ~spl14_111 | spl14_112 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2432,f478,f2446,f2443])). 54.32/54.35 tff(f2450,plain,( 54.32/54.35 spl14_114 <=> ! [X1 : $int] : (~$less(n,X1) | ~$less(X1,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_114])])). 54.32/54.35 tff(f2453,plain,( 54.32/54.35 spl14_116 <=> ! [X0 : uni] : (tb2t2(X0) != tb2t2(get(int,int,const(int,int,X0),t2tb2(n))) | ~sort(int,X0) | ~solution(tb2t(const(int,int,X0)),n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_116])])). 54.32/54.35 tff(f2455,plain,( 54.32/54.35 spl14_114 | spl14_116 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2434,f478,f2453,f2450])). 54.32/54.35 tff(f2471,plain,( 54.32/54.35 $false | ~spl14_111), 54.32/54.35 inference(resolution,[],[f2444,f296])). 54.32/54.35 tff(f2472,plain,( 54.32/54.35 spl14_111), 54.32/54.35 inference(avatar_contradiction_clause,[],[f2471])). 54.32/54.35 tff(f2483,plain,( 54.32/54.35 ( ! [X0:uni,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X0))) | $less(sK12(n,X1,tb2t(X0)),n) | ~solution(tb2t(X0),n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f852,f298])). 54.32/54.35 tff(f2497,plain,( 54.32/54.35 ( ! [X0:uni,X1:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X0))) | ~$less(sK12(n,X1,tb2t(X0)),n) | ~solution(tb2t(X0),n)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f863,f298])). 54.32/54.35 tff(f2510,plain,( 54.32/54.35 ~$less(sK9(below(0)),n) | $less(sK9(below(0)),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0))))) | $less(0,0) | $less(size,0) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(equality_resolution,[],[f1210])). 54.32/54.35 tff(f2511,plain,( 54.32/54.35 ~$less(sK9(below(0)),n) | $less(sK9(below(0)),0) | pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(below(0))))) | $less(size,0) | (~spl14_20 | ~spl14_30)), 54.32/54.35 inference(evaluation,[],[f2510])). 54.32/54.35 tff(f2512,plain,( 54.32/54.35 ( ! [X2:$int,X0:map_int_int,X3:map_int_int,X1:$int] : ($less(X1,0) | sum(X0,$product(n,X1),X2) = $sum(sum(X0,$product(n,X1),$product(n,X1)),sum(X0,$product(n,X1),X2)) | sum(X3,X2,$product(n,X1)) = $sum(sum(X3,X2,$sum($product(n,X1),-1)),f(X3,$sum($product(n,X1),-1)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f445])). 54.32/54.35 tff(f2513,plain,( 54.32/54.35 ( ! [X6:$int,X4:map_int_int,X7:map_int_int,X5:$int] : ($less(X5,0) | sum(X4,$product(n,X5),X6) = $sum(sum(X4,$product(n,X5),$product(n,X5)),sum(X4,$product(n,X5),X6)) | sum(X7,X6,$product(n,X5)) = $sum(f(X7,X6),sum(X7,$sum(X6,1),$product(n,X5)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f387])). 54.32/54.35 tff(f2516,plain,( 54.32/54.35 ( ! [X17:$int,X18:$int,X16:map_int_int] : ($less(X17,0) | sum(X16,$product(n,X17),max($product(n,X17),X18)) = $sum(sum(X16,$product(n,X17),$product(n,X17)),sum(X16,$product(n,X17),max($product(n,X17),X18)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f340])). 54.32/54.35 tff(f2517,plain,( 54.32/54.35 ( ! [X21:$int,X19:map_int_int,X20:$int] : ($less(X20,0) | sum(X19,$product(n,X20),max(X21,$product(n,X20))) = $sum(sum(X19,$product(n,X20),$product(n,X20)),sum(X19,$product(n,X20),max(X21,$product(n,X20))))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f339])). 54.32/54.35 tff(f2520,plain,( 54.32/54.35 ( ! [X30:$int,X28:map_int_int,X29:$int] : (sum(X28,$product(n,X29),$product(X30,X29)) = $sum(sum(X28,$product(n,X29),$product(n,X29)),sum(X28,$product(n,X29),$product(X30,X29))) | $less(X29,0) | $less(X29,0) | $less(X30,n)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f390])). 54.32/54.35 tff(f2521,plain,( 54.32/54.35 ( ! [X31:map_int_int,X32:$int] : (sum(X31,$product(n,X32),$product(n,X32)) = $sum(sum(X31,$product(n,X32),$product(n,X32)),sum(X31,$product(n,X32),$product(n,X32))) | $less(X32,0) | $less(X32,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f510])). 54.32/54.35 tff(f2529,plain,( 54.32/54.35 ( ! [X57:map_int_int,X54:map_int_int,X58:$int,X56:map_int_int,X55:$int] : ($less(X55,0) | sum(X54,$product(n,X55),sK10(X56,X57,$product(n,X55),X58)) = $sum(sum(X54,$product(n,X55),$product(n,X55)),sum(X54,$product(n,X55),sK10(X56,X57,$product(n,X55),X58))) | sum(X56,$product(n,X55),X58) = sum(X57,$product(n,X55),X58)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f949,f409])). 54.32/54.35 tff(f2534,plain,( 54.32/54.35 ( ! [X31:map_int_int,X32:$int] : ($less(X32,0) | sum(X31,$product(n,X32),$product(n,X32)) = $sum(sum(X31,$product(n,X32),$product(n,X32)),sum(X31,$product(n,X32),$product(n,X32)))) ) | ~spl14_11), 54.32/54.35 inference(duplicate_literal_removal,[],[f2521])). 54.32/54.35 tff(f2535,plain,( 54.32/54.35 ( ! [X30:$int,X28:map_int_int,X29:$int] : ($less(X30,n) | $less(X29,0) | sum(X28,$product(n,X29),$product(X30,X29)) = $sum(sum(X28,$product(n,X29),$product(n,X29)),sum(X28,$product(n,X29),$product(X30,X29)))) ) | ~spl14_11), 54.32/54.35 inference(duplicate_literal_removal,[],[f2520])). 54.32/54.35 tff(f2538,plain,( 54.32/54.35 ( ! [X6:$int,X7:$int,X5:map_int_int] : (sum(X5,$product(X6,X7),$product(n,X7)) = $sum(sum(X5,$product(X6,X7),$product(n,X7)),sum(X5,$product(n,X7),$product(n,X7))) | $less(X7,0) | $less(X7,0) | $less(n,X6)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f950,f390])). 54.32/54.35 tff(f2541,plain,( 54.32/54.35 ( ! [X14:$int,X15:$int,X13:map_int_int,X16:map_int_int] : ($less(X15,0) | sum(X13,X14,$product(n,X15)) = $sum(sum(X13,X14,$product(n,X15)),sum(X13,$product(n,X15),$product(n,X15))) | sum(X16,$product(n,X15),X14) = $sum(sum(X16,$product(n,X15),$sum(X14,-1)),f(X16,$sum(X14,-1)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f950,f445])). 54.32/54.35 tff(f2542,plain,( 54.32/54.35 ( ! [X19:$int,X17:map_int_int,X20:map_int_int,X18:$int] : ($less(X19,0) | sum(X17,X18,$product(n,X19)) = $sum(sum(X17,X18,$product(n,X19)),sum(X17,$product(n,X19),$product(n,X19))) | sum(X20,$product(n,X19),X18) = $sum(f(X20,$product(n,X19)),sum(X20,$sum($product(n,X19),1),X18))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f950,f387])). 54.32/54.35 tff(f2545,plain,( 54.32/54.35 ( ! [X30:$int,X31:$int,X29:map_int_int] : ($less(X30,0) | sum(X29,min($product(n,X30),X31),$product(n,X30)) = $sum(sum(X29,min($product(n,X30),X31),$product(n,X30)),sum(X29,$product(n,X30),$product(n,X30)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f950,f342])). 54.32/54.35 tff(f2546,plain,( 54.32/54.35 ( ! [X33:$int,X34:$int,X32:map_int_int] : ($less(X34,0) | sum(X32,min(X33,$product(n,X34)),$product(n,X34)) = $sum(sum(X32,min(X33,$product(n,X34)),$product(n,X34)),sum(X32,$product(n,X34),$product(n,X34)))) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f950,f341])). 54.32/54.35 tff(f2568,plain,( 54.32/54.35 ( ! [X6:$int,X7:$int,X5:map_int_int] : ($less(n,X6) | $less(X7,0) | sum(X5,$product(X6,X7),$product(n,X7)) = $sum(sum(X5,$product(X6,X7),$product(n,X7)),sum(X5,$product(n,X7),$product(n,X7)))) ) | ~spl14_11), 54.32/54.35 inference(duplicate_literal_removal,[],[f2538])). 54.32/54.35 tff(f2577,plain,( 54.32/54.35 ~$less(0,n) | $less(0,0) | $less(size,n) | $less(n,0) | ~spl14_87), 54.32/54.35 inference(resolution,[],[f2063,f357])). 54.32/54.35 tff(f2579,plain,( 54.32/54.35 ~$less(0,n) | $less(size,n) | $less(n,0) | ~spl14_87), 54.32/54.35 inference(evaluation,[],[f2577])). 54.32/54.35 tff(f2724,plain,( 54.32/54.35 n = 0 | $less(n,0) | ~spl14_74), 54.32/54.35 inference(superposition,[],[f2039,f348])). 54.32/54.35 tff(f2729,plain,( 54.32/54.35 n = 0 | $less(n,0) | ~spl14_74), 54.32/54.35 inference(superposition,[],[f348,f2039])). 54.32/54.35 tff(f2731,plain,( 54.32/54.35 spl14_118 <=> n = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_118])])). 54.32/54.35 tff(f2732,plain,( 54.32/54.35 n = 0 | ~spl14_118), 54.32/54.35 inference(avatar_component_clause,[],[f2731])). 54.32/54.35 tff(f2733,plain,( 54.32/54.35 spl14_16 | spl14_118 | ~spl14_74), 54.32/54.35 inference(avatar_split_clause,[],[f2724,f2038,f2731,f519])). 54.32/54.35 tff(f2734,plain,( 54.32/54.35 spl14_16 | spl14_118 | ~spl14_74), 54.32/54.35 inference(avatar_split_clause,[],[f2729,f2038,f2731,f519])). 54.32/54.35 tff(f2735,plain,( 54.32/54.35 spl14_16 | spl14_26 | ~spl14_71 | spl14_87), 54.32/54.35 inference(avatar_split_clause,[],[f2579,f2062,f2011,f541,f519])). 54.32/54.35 tff(f2740,plain,( 54.32/54.35 spl14_120 <=> ! [X16 : $int,X18 : $int,X17 : map_int_int] : (min($product(n,X16),$product(n,X16)) = $product(n,X16) | ~solution(X17,X18) | $less(X16,X18) | tb2t2(get(int,int,t2tb(X17),t2tb2(0))) != tb2t2(get(int,int,t2tb(X17),t2tb2(X16))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_120])])). 54.32/54.35 tff(f2742,plain,( 54.32/54.35 ~spl14_71 | spl14_120 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f2118,f478,f2740,f2011])). 54.32/54.35 tff(f2744,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | min($product(n,sK12(0,X50,X51)),$product(n,sK12(0,X50,X51))) = $product(n,sK12(0,X50,X51)) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2151])). 54.32/54.35 tff(f2748,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2159])). 54.32/54.35 tff(f2750,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | min($product(n,sK12(0,X55,X56)),$product(n,sK12(0,X55,X56))) = $product(n,sK12(0,X55,X56)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71)), 54.32/54.35 inference(evaluation,[],[f2162])). 54.32/54.35 tff(f2752,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_78 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2047,f2732])). 54.32/54.35 tff(f2754,plain,( 54.32/54.35 spl14_122 <=> max(0,0) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_122])])). 54.32/54.35 tff(f2756,plain,( 54.32/54.35 spl14_122 | ~spl14_78 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2752,f2731,f2046,f2754])). 54.32/54.35 tff(f2758,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_74 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2039,f2732])). 54.32/54.35 tff(f2759,plain,( 54.32/54.35 spl14_122 | ~spl14_74 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2758,f2731,f2038,f2754])). 54.32/54.35 tff(f2760,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2259,f2732])). 54.32/54.35 tff(f2761,plain,( 54.32/54.35 spl14_122 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2760,f2731,f2011,f2754])). 54.32/54.35 tff(f2762,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2257,f2732])). 54.32/54.35 tff(f2763,plain,( 54.32/54.35 spl14_122 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2762,f2731,f2011,f2754])). 54.32/54.35 tff(f2766,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min($product(0,sK12(0,X55,X56)),$product(0,sK12(0,X55,X56))) = $product(0,sK12(0,X55,X56)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2163,f2732])). 54.32/54.35 tff(f2767,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(evaluation,[],[f2766])). 54.32/54.35 tff(f2769,plain,( 54.32/54.35 spl14_124 <=> ! [X55 : set1,X56 : map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_124])])). 54.32/54.35 tff(f2772,plain,( 54.32/54.35 spl14_126 <=> min(0,0) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_126])])). 54.32/54.35 tff(f2774,plain,( 54.32/54.35 spl14_124 | spl14_126 | spl14_11 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2767,f2731,f2011,f478,f2772,f2769])). 54.32/54.35 tff(f2775,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min($product(0,sK12(0,X55,X56)),$product(0,sK12(0,X55,X56))) = $product(0,sK12(0,X55,X56)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2750,f2732])). 54.32/54.35 tff(f2776,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(evaluation,[],[f2775])). 54.32/54.35 tff(f2777,plain,( 54.32/54.35 spl14_124 | spl14_126 | spl14_11 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2776,f2731,f2011,f478,f2772,f2769])). 54.32/54.35 tff(f2784,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min($product(0,sK12(0,X55,X56)),$product(0,sK12(0,X55,X56))) = $product(0,sK12(0,X55,X56)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2748,f2732])). 54.32/54.35 tff(f2785,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : (min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | $less(sum(X56,0,n),sum(sK13(0,X55,sum(X56,0,n)),0,n)) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(evaluation,[],[f2784])). 54.32/54.35 tff(f2786,plain,( 54.32/54.35 ( ! [X56:map_int_int,X55:set1] : ($less(sum(X56,0,0),sum(sK13(0,X55,sum(X56,0,0)),0,0)) | min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))) | ~solution(X56,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2785,f2732])). 54.32/54.35 tff(f2788,plain,( 54.32/54.35 spl14_128 <=> ! [X55 : set1,X56 : map_int_int] : ($less(sum(X56,0,0),sum(sK13(0,X55,sum(X56,0,0)),0,0)) | ~solution(X56,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X55))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X56)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_128])])). 54.32/54.35 tff(f2790,plain,( 54.32/54.35 spl14_126 | spl14_128 | spl14_11 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2786,f2731,f2011,f478,f2788,f2772])). 54.32/54.35 tff(f2808,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (min($product(0,sK12(0,X50,X51)),$product(0,sK12(0,X50,X51))) = $product(0,sK12(0,X50,X51)) | solution(sK13(0,X50,0),0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2153,f2732])). 54.32/54.35 tff(f2809,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (min(0,0) = 0 | solution(sK13(0,X50,0),0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(evaluation,[],[f2808])). 54.32/54.35 tff(f2811,plain,( 54.32/54.35 spl14_130 <=> ! [X51 : map_int_int,X50 : set1] : (solution(sK13(0,X50,0),0) | ~solution(X51,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_130])])). 54.32/54.35 tff(f2813,plain,( 54.32/54.35 spl14_130 | spl14_126 | spl14_11 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2809,f2731,f2011,f478,f2772,f2811])). 54.32/54.35 tff(f2816,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (min($product(0,sK12(0,X50,X51)),$product(0,sK12(0,X50,X51))) = $product(0,sK12(0,X50,X51)) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2744,f2732])). 54.32/54.35 tff(f2817,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | solution(sK13(0,X50,sum(X51,0,n)),0) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(evaluation,[],[f2816])). 54.32/54.35 tff(f2818,plain,( 54.32/54.35 ( ! [X50:set1,X51:map_int_int] : (solution(sK13(0,X50,sum(X51,0,0)),0) | min(0,0) = 0 | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))) | ~solution(X51,0)) ) | (~spl14_11 | ~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2817,f2732])). 54.32/54.35 tff(f2820,plain,( 54.32/54.35 spl14_132 <=> ! [X51 : map_int_int,X50 : set1] : (solution(sK13(0,X50,sum(X51,0,0)),0) | ~solution(X51,0) | post(tb2t3(tuple21(int,set2,t2tb2(0),t2tb4(X50))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X51)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_132])])). 54.32/54.35 tff(f2822,plain,( 54.32/54.35 spl14_126 | spl14_132 | spl14_11 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2818,f2731,f2011,f478,f2820,f2772])). 54.32/54.35 tff(f2834,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2020,f2732])). 54.32/54.35 tff(f2835,plain,( 54.32/54.35 spl14_122 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2834,f2731,f2011,f2754])). 54.32/54.35 tff(f2836,plain,( 54.32/54.35 max(0,0) = 0 | (~spl14_71 | ~spl14_118)), 54.32/54.35 inference(forward_demodulation,[],[f2018,f2732])). 54.32/54.35 tff(f2837,plain,( 54.32/54.35 spl14_122 | spl14_71 | ~spl14_118), 54.32/54.35 inference(avatar_split_clause,[],[f2836,f2731,f2011,f2754])). 54.32/54.35 tff(f2916,plain,( 54.32/54.35 ( ! [X30:map_int_int,X33:$int,X31:$int,X32:$int] : ($less(sum(X30,X31,n),0) | $less(sK12(X31,sK1,X30),n) | ~$less(X32,n) | $less(X32,X31) | ~solution(X30,X31) | mem(tb2t2(get(int,int,t2tb(X30),t2tb2(X33))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X31,sK1,sum(X30,X31,n))),t2tb2(X32))),n) | $less(X33,X31) | ~mem(X33,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f1617,f359])). 54.32/54.35 tff(f2930,plain,( 54.32/54.35 ( ! [X107:$int,X105:map_int_int,X108:$int,X106:$int] : ($less(sum(X105,X106,n),0) | $less(sK12(X106,sK1,X105),n) | ~$less(X107,n) | $less(X107,X106) | ~solution(X105,X106) | mem(tb2t2(get(int,int,t2tb(X105),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X106,sK1,sum(X105,X106,n))),t2tb2(X107))),n) | $less(size,X106) | mem(X108,below(n)) | ~$less(X108,n) | $less(X108,0) | $less(n,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f1617,f357])). 54.32/54.35 tff(f2931,plain,( 54.32/54.35 ( ! [X111:$int,X109:map_int_int,X112:$int,X110:$int] : ($less(sum(X109,X110,n),0) | $less(sK12(X110,sK1,X109),n) | ~$less(X111,n) | $less(X111,X110) | ~solution(X109,X110) | mem(tb2t2(get(int,int,t2tb(X109),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X110,sK1,sum(X109,X110,n))),t2tb2(X111))),n) | $less(size,X110) | ~$less(X112,0) | ~mem(X112,below(n)) | $less(n,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f1617,f358])). 54.32/54.35 tff(f2932,plain,( 54.32/54.35 ( ! [X116:$int,X114:$int,X115:$int,X113:map_int_int] : ($less(sum(X113,X114,n),0) | $less(sK12(X114,sK1,X113),n) | ~$less(X115,n) | $less(X115,X114) | ~solution(X113,X114) | mem(tb2t2(get(int,int,t2tb(X113),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X114,sK1,sum(X113,X114,n))),t2tb2(X115))),n) | $less(size,X114) | $less(X116,n) | ~mem(X116,below(n)) | $less(n,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f1617,f359])). 54.32/54.35 tff(f2933,plain,( 54.32/54.35 ( ! [X118:$int,X119:$int,X117:map_int_int] : ($less(sum(X117,X118,n),0) | $less(sK12(X118,sK1,X117),n) | ~$less(X119,n) | $less(X119,X118) | ~solution(X117,X118) | mem(tb2t2(get(int,int,t2tb(X117),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X118,sK1,sum(X117,X118,n))),t2tb2(X119))),n) | $less(size,X118) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_6), 54.32/54.35 inference(resolution,[],[f1617,f444])). 54.32/54.35 tff(f2950,plain,( 54.32/54.35 spl14_134 <=> ! [X32 : $int,X31 : $int,X33 : $int,X30 : map_int_int] : ($less(sum(X30,X31,n),0) | ~mem(X33,below(n)) | $less(X33,X31) | $less(tb2t2(get(int,int,t2tb(sK13(X31,sK1,sum(X30,X31,n))),t2tb2(X32))),n) | mem(tb2t2(get(int,int,t2tb(X30),t2tb2(X33))),sK1) | ~solution(X30,X31) | ~$less(X32,n) | $less(X32,X31) | $less(sK12(X31,sK1,X30),n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_134])])). 54.32/54.35 tff(f2952,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_134 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f2916,f458,f2950,f541,f519])). 54.32/54.35 tff(f2958,plain,( 54.32/54.35 spl14_136 <=> ! [X108 : $int] : (mem(X108,below(n)) | $less(X108,0) | ~$less(X108,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_136])])). 54.32/54.35 tff(f2961,plain,( 54.32/54.35 spl14_138 <=> ! [X106 : $int,X105 : map_int_int,X107 : $int] : ($less(sum(X105,X106,n),0) | $less(size,X106) | $less(tb2t2(get(int,int,t2tb(sK13(X106,sK1,sum(X105,X106,n))),t2tb2(X107))),n) | mem(tb2t2(get(int,int,t2tb(X105),t2tb2(size))),sK1) | ~solution(X105,X106) | ~$less(X107,n) | $less(X107,X106) | $less(sK12(X106,sK1,X105),n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_138])])). 54.32/54.35 tff(f2962,plain,( 54.32/54.35 ( ! [X107:$int,X105:map_int_int,X106:$int] : (~$less(X107,n) | $less(size,X106) | $less(tb2t2(get(int,int,t2tb(sK13(X106,sK1,sum(X105,X106,n))),t2tb2(X107))),n) | mem(tb2t2(get(int,int,t2tb(X105),t2tb2(size))),sK1) | ~solution(X105,X106) | $less(sum(X105,X106,n),0) | $less(X107,X106) | $less(sK12(X106,sK1,X105),n)) ) | ~spl14_138), 54.32/54.35 inference(avatar_component_clause,[],[f2961])). 54.32/54.35 tff(f2963,plain,( 54.32/54.35 spl14_16 | spl14_136 | spl14_138 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f2930,f458,f2961,f2958,f519])). 54.32/54.35 tff(f2965,plain,( 54.32/54.35 spl14_140 <=> ! [X112 : $int] : (~$less(X112,0) | ~mem(X112,below(n)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_140])])). 54.32/54.35 tff(f2967,plain,( 54.32/54.35 spl14_16 | spl14_140 | spl14_138 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f2931,f458,f2961,f2965,f519])). 54.32/54.35 tff(f2969,plain,( 54.32/54.35 spl14_142 <=> ! [X116 : $int] : ($less(X116,n) | ~mem(X116,below(n)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_142])])). 54.32/54.35 tff(f2971,plain,( 54.32/54.35 spl14_16 | spl14_142 | spl14_138 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f2932,f458,f2961,f2969,f519])). 54.32/54.35 tff(f2973,plain,( 54.32/54.35 spl14_144 <=> n = cardinal(below(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_144])])). 54.32/54.35 tff(f2975,plain,( 54.32/54.35 spl14_16 | spl14_144 | spl14_138 | ~spl14_6), 54.32/54.35 inference(avatar_split_clause,[],[f2933,f458,f2961,f2973,f519])). 54.32/54.35 tff(f4151,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(resolution,[],[f2425,f667])). 54.32/54.35 tff(f4152,plain,( 54.32/54.35 ~mem(n,below(0)) | (~spl14_11 | ~spl14_106)), 54.32/54.35 inference(resolution,[],[f2425,f498])). 54.32/54.35 tff(f4154,plain,( 54.32/54.35 cardinal(below(0)) = $sum(n,$uminus(n)) | ~spl14_106), 54.32/54.35 inference(resolution,[],[f2425,f378])). 54.32/54.35 tff(f4158,plain,( 54.32/54.35 ~mem(n,below(0)) | (~spl14_11 | ~spl14_106)), 54.32/54.35 inference(resolution,[],[f2425,f1013])). 54.32/54.35 tff(f4159,plain,( 54.32/54.35 ~mem(n,tb2t4(t2tb4(below(0)))) | ~sort(set2,t2tb4(below(0))) | (~spl14_11 | ~spl14_106)), 54.32/54.35 inference(resolution,[],[f2425,f1014])). 54.32/54.35 tff(f4160,plain,( 54.32/54.35 cardinal(tb2t4(t2tb4(below(0)))) = 0 | ~sort(set2,t2tb4(below(0))) | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(resolution,[],[f2425,f1056])). 54.32/54.35 tff(f4161,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4151,f2424,f559,f483,f660])). 54.32/54.35 tff(f4163,plain,( 54.32/54.35 spl14_147 <=> ~mem(n,below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_147])])). 54.32/54.35 tff(f4165,plain,( 54.32/54.35 ~spl14_147 | spl14_11 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4152,f2424,f478,f4163])). 54.32/54.35 tff(f4166,plain,( 54.32/54.35 cardinal(sK1) = cardinal(below(0)) | (~spl14_12 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4154,f484])). 54.32/54.35 tff(f4167,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4166,f560])). 54.32/54.35 tff(f4168,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4167,f2424,f559,f483,f660])). 54.32/54.35 tff(f4169,plain,( 54.32/54.35 ~spl14_147 | spl14_11 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4158,f2424,f478,f4163])). 54.32/54.35 tff(f4170,plain,( 54.32/54.35 ~mem(n,below(0)) | ~sort(set2,t2tb4(below(0))) | (~spl14_11 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4159,f306])). 54.32/54.35 tff(f4172,plain,( 54.32/54.35 spl14_149 <=> ~sort(set2,t2tb4(below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_149])])). 54.32/54.35 tff(f4173,plain,( 54.32/54.35 ~sort(set2,t2tb4(below(0))) | ~spl14_149), 54.32/54.35 inference(avatar_component_clause,[],[f4172])). 54.32/54.35 tff(f4174,plain,( 54.32/54.35 ~spl14_149 | ~spl14_147 | spl14_11 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4170,f2424,f478,f4163,f4172])). 54.32/54.35 tff(f4175,plain,( 54.32/54.35 cardinal(below(0)) = 0 | ~sort(set2,t2tb4(below(0))) | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4160,f306])). 54.32/54.35 tff(f4176,plain,( 54.32/54.35 ~spl14_149 | spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4175,f2424,f559,f483,f660,f4172])). 54.32/54.35 tff(f4178,plain,( 54.32/54.35 spl14_150 <=> $less(sK9(below(0)),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_150])])). 54.32/54.35 tff(f4181,plain,( 54.32/54.35 spl14_153 <=> ~$less(sK9(below(0)),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_153])])). 54.32/54.35 tff(f4182,plain,( 54.32/54.35 ~$less(sK9(below(0)),n) | ~spl14_153), 54.32/54.35 inference(avatar_component_clause,[],[f4181])). 54.32/54.35 tff(f4183,plain,( 54.32/54.35 spl14_38 | spl14_106 | spl14_150 | ~spl14_153 | ~spl14_20 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f2511,f559,f527,f4181,f4178,f2424,f631])). 54.32/54.35 tff(f4185,plain,( 54.32/54.35 max(sK9(below(0)),n) = sK9(below(0)) | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f346])). 54.32/54.35 tff(f4186,plain,( 54.32/54.35 min(n,sK9(below(0))) = n | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f347])). 54.32/54.35 tff(f4187,plain,( 54.32/54.35 max(n,sK9(below(0))) = sK9(below(0)) | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f348])). 54.32/54.35 tff(f4188,plain,( 54.32/54.35 min(sK9(below(0)),n) = n | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f349])). 54.32/54.35 tff(f4189,plain,( 54.32/54.35 min(n,sK9(below(0))) = min(sK9(below(0)),n) | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f350])). 54.32/54.35 tff(f4190,plain,( 54.32/54.35 max(n,sK9(below(0))) = max(sK9(below(0)),n) | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f351])). 54.32/54.35 tff(f4191,plain,( 54.32/54.35 ~mem(sK9(below(0)),below(n)) | $less(size,n) | $less(n,0) | ~spl14_153), 54.32/54.35 inference(resolution,[],[f4182,f359])). 54.32/54.35 tff(f4204,plain,( 54.32/54.35 spl14_154 <=> max(sK9(below(0)),n) = sK9(below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_154])])). 54.32/54.35 tff(f4206,plain,( 54.32/54.35 spl14_154 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4185,f4181,f4204])). 54.32/54.35 tff(f4208,plain,( 54.32/54.35 spl14_156 <=> min(n,sK9(below(0))) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_156])])). 54.32/54.35 tff(f4210,plain,( 54.32/54.35 spl14_156 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4186,f4181,f4208])). 54.32/54.35 tff(f4212,plain,( 54.32/54.35 spl14_158 <=> max(n,sK9(below(0))) = sK9(below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_158])])). 54.32/54.35 tff(f4214,plain,( 54.32/54.35 spl14_158 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4187,f4181,f4212])). 54.32/54.35 tff(f4216,plain,( 54.32/54.35 spl14_160 <=> min(sK9(below(0)),n) = n), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_160])])). 54.32/54.35 tff(f4218,plain,( 54.32/54.35 spl14_160 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4188,f4181,f4216])). 54.32/54.35 tff(f4220,plain,( 54.32/54.35 spl14_162 <=> min(n,sK9(below(0))) = min(sK9(below(0)),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_162])])). 54.32/54.35 tff(f4222,plain,( 54.32/54.35 spl14_162 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4189,f4181,f4220])). 54.32/54.35 tff(f4224,plain,( 54.32/54.35 spl14_164 <=> max(n,sK9(below(0))) = max(sK9(below(0)),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_164])])). 54.32/54.35 tff(f4226,plain,( 54.32/54.35 spl14_164 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4190,f4181,f4224])). 54.32/54.35 tff(f4228,plain,( 54.32/54.35 spl14_167 <=> ~mem(sK9(below(0)),below(n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_167])])). 54.32/54.35 tff(f4230,plain,( 54.32/54.35 spl14_16 | spl14_26 | ~spl14_167 | spl14_153), 54.32/54.35 inference(avatar_split_clause,[],[f4191,f4181,f4228,f541,f519])). 54.32/54.35 tff(f4231,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4166,f560])). 54.32/54.35 tff(f4232,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4231,f2424,f559,f483,f660])). 54.32/54.35 tff(f4233,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4167,f2424,f559,f483,f660])). 54.32/54.35 tff(f4234,plain,( 54.32/54.35 cardinal(sK1) = cardinal(below(0)) | (~spl14_12 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4154,f484])). 54.32/54.35 tff(f4235,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4234,f560])). 54.32/54.35 tff(f4236,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4235,f2424,f559,f483,f660])). 54.32/54.35 tff(f4237,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4151,f2424,f559,f483,f660])). 54.32/54.35 tff(f4243,plain,( 54.32/54.35 ( ! [X0:$int] : (0 != 0 | ~mem(X0,below(0))) ) | ~spl14_54), 54.32/54.35 inference(superposition,[],[f329,f661])). 54.32/54.35 tff(f4250,plain,( 54.32/54.35 ( ! [X0:$int] : (~mem(X0,below(0))) ) | ~spl14_54), 54.32/54.35 inference(trivial_inequality_removal,[],[f4243])). 54.32/54.35 tff(f4270,plain,( 54.32/54.35 $false | (~spl14_54 | ~spl14_108)), 54.32/54.35 inference(resolution,[],[f2428,f4250])). 54.32/54.35 tff(f4274,plain,( 54.32/54.35 ~$less(sK9(below(0)),0) | $less(size,0) | $less(0,0) | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f358])). 54.32/54.35 tff(f4275,plain,( 54.32/54.35 $less(sK9(below(0)),0) | $less(size,0) | $less(0,0) | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f359])). 54.32/54.35 tff(f4277,plain,( 54.32/54.35 ( ! [X1:$int] : ($less(sK9(below(0)),n) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(below(0)))))) ) | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f379])). 54.32/54.35 tff(f4278,plain,( 54.32/54.35 ( ! [X2:$int] : (~$less(sK9(below(0)),0) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(below(0)))))) ) | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f380])). 54.32/54.35 tff(f4279,plain,( 54.32/54.35 cardinal(below(0)) = $sum(1,cardinal(remove(sK9(below(0)),below(0)))) | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f345])). 54.32/54.35 tff(f4280,plain,( 54.32/54.35 cardinal(below(0)) != 0 | ~spl14_108), 54.32/54.35 inference(resolution,[],[f2428,f329])). 54.32/54.35 tff(f4281,plain,( 54.32/54.35 $less(sK9(below(0)),0) | $less(size,0) | ~spl14_108), 54.32/54.35 inference(evaluation,[],[f4275])). 54.32/54.35 tff(f4282,plain,( 54.32/54.35 ~$less(sK9(below(0)),0) | $less(size,0) | ~spl14_108), 54.32/54.35 inference(evaluation,[],[f4274])). 54.32/54.35 tff(f4283,plain,( 54.32/54.35 ~spl14_54 | ~spl14_108), 54.32/54.35 inference(avatar_contradiction_clause,[],[f4270])). 54.32/54.35 tff(f4288,plain,( 54.32/54.35 spl14_168 <=> cardinal(below(0)) = $sum(1,cardinal(remove(sK9(below(0)),below(0))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_168])])). 54.32/54.35 tff(f4290,plain,( 54.32/54.35 spl14_168 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4279,f2427,f4288])). 54.32/54.35 tff(f4292,plain,( 54.32/54.35 spl14_55 <=> cardinal(below(0)) != 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_55])])). 54.32/54.35 tff(f4294,plain,( 54.32/54.35 ~spl14_55 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4280,f2427,f4292])). 54.32/54.35 tff(f4296,plain,( 54.32/54.35 spl14_170 <=> ! [X2 : $int] : ~pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(below(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_170])])). 54.32/54.35 tff(f4299,plain,( 54.32/54.35 spl14_151 <=> ~$less(sK9(below(0)),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_151])])). 54.32/54.35 tff(f4300,plain,( 54.32/54.35 ~$less(sK9(below(0)),0) | ~spl14_151), 54.32/54.35 inference(avatar_component_clause,[],[f4299])). 54.32/54.35 tff(f4301,plain,( 54.32/54.35 spl14_170 | ~spl14_151 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4278,f2427,f4299,f4296])). 54.32/54.35 tff(f4303,plain,( 54.32/54.35 spl14_152 <=> $less(sK9(below(0)),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_152])])). 54.32/54.35 tff(f4305,plain,( 54.32/54.35 spl14_170 | spl14_152 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4277,f2427,f4303,f4296])). 54.32/54.35 tff(f4306,plain,( 54.32/54.35 spl14_38 | spl14_150 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4281,f2427,f4178,f631])). 54.32/54.35 tff(f4307,plain,( 54.32/54.35 spl14_38 | ~spl14_151 | ~spl14_108), 54.32/54.35 inference(avatar_split_clause,[],[f4282,f2427,f4299,f631])). 54.32/54.35 tff(f4313,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4235,f2424,f559,f483,f660])). 54.32/54.35 tff(f4314,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4234,f560])). 54.32/54.35 tff(f4315,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4314,f2424,f559,f483,f660])). 54.32/54.35 tff(f4316,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4231,f2424,f559,f483,f660])). 54.32/54.35 tff(f4317,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4166,f560])). 54.32/54.35 tff(f4318,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4317,f2424,f559,f483,f660])). 54.32/54.35 tff(f4319,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4167,f2424,f559,f483,f660])). 54.32/54.35 tff(f4320,plain,( 54.32/54.35 cardinal(sK1) = cardinal(below(0)) | (~spl14_12 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4154,f484])). 54.32/54.35 tff(f4321,plain,( 54.32/54.35 cardinal(below(0)) = 0 | (~spl14_12 | ~spl14_30 | ~spl14_106)), 54.32/54.35 inference(forward_demodulation,[],[f4320,f560])). 54.32/54.35 tff(f4322,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4321,f2424,f559,f483,f660])). 54.32/54.35 tff(f4323,plain,( 54.32/54.35 spl14_54 | ~spl14_12 | ~spl14_30 | ~spl14_106), 54.32/54.35 inference(avatar_split_clause,[],[f4151,f2424,f559,f483,f660])). 54.32/54.35 tff(f4398,plain,( 54.32/54.35 $false | ~spl14_149), 54.32/54.35 inference(resolution,[],[f4173,f297])). 54.32/54.35 tff(f4399,plain,( 54.32/54.35 spl14_149), 54.32/54.35 inference(avatar_contradiction_clause,[],[f4398])). 54.32/54.35 tff(f4402,plain,( 54.32/54.35 ~$less($product(n,n),$product(n,n)) | ~spl14_90), 54.32/54.35 inference(superposition,[],[f339,f2104])). 54.32/54.35 tff(f4403,plain,( 54.32/54.35 ~$less($product(n,n),$product(n,n)) | ~spl14_90), 54.32/54.35 inference(superposition,[],[f340,f2104])). 54.32/54.35 tff(f4405,plain,( 54.32/54.35 spl14_173 <=> ~$less($product(n,n),$product(n,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_173])])). 54.32/54.35 tff(f4406,plain,( 54.32/54.35 ~$less($product(n,n),$product(n,n)) | ~spl14_173), 54.32/54.35 inference(avatar_component_clause,[],[f4405])). 54.32/54.35 tff(f4407,plain,( 54.32/54.35 ~spl14_173 | ~spl14_90), 54.32/54.35 inference(avatar_split_clause,[],[f4402,f2103,f4405])). 54.32/54.35 tff(f4408,plain,( 54.32/54.35 ~spl14_173 | ~spl14_90), 54.32/54.35 inference(avatar_split_clause,[],[f4403,f2103,f4405])). 54.32/54.35 tff(f4457,plain,( 54.32/54.35 cardinal(sK1) != 0 | $less(n,n) | $less(n,0) | (~spl14_12 | ~spl14_100)), 54.32/54.35 inference(superposition,[],[f2334,f484])). 54.32/54.35 tff(f4458,plain,( 54.32/54.35 0 != 0 | $less(n,n) | $less(n,0) | (~spl14_12 | ~spl14_30 | ~spl14_100)), 54.32/54.35 inference(forward_demodulation,[],[f4457,f560])). 54.32/54.35 tff(f4459,plain,( 54.32/54.35 $less(n,n) | $less(n,0) | (~spl14_12 | ~spl14_30 | ~spl14_100)), 54.32/54.35 inference(trivial_inequality_removal,[],[f4458])). 54.32/54.35 tff(f4460,plain,( 54.32/54.35 spl14_16 | spl14_10 | ~spl14_12 | ~spl14_30 | ~spl14_100), 54.32/54.35 inference(avatar_split_clause,[],[f4459,f2333,f559,f483,f692,f519])). 54.32/54.35 tff(f4477,plain,( 54.32/54.35 ( ! [X6:$int,X7:map_int_int] : (sum(X7,$product(n,0),$product(n,0)) = 0 | $less(0,X6)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1986,f346])). 54.32/54.35 tff(f4478,plain,( 54.32/54.35 ( ! [X8:$int,X9:map_int_int] : (sum(X9,$product(n,0),$product(n,0)) = 0 | max(0,X8) = X8) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1986,f344])). 54.32/54.35 tff(f4496,plain,( 54.32/54.35 ( ! [X8:$int,X9:map_int_int] : (sum(X9,0,0) = 0 | max(0,X8) = X8) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4478])). 54.32/54.35 tff(f4497,plain,( 54.32/54.35 ( ! [X6:$int,X7:map_int_int] : (sum(X7,0,0) = 0 | $less(0,X6)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4477])). 54.32/54.35 tff(f4499,plain,( 54.32/54.35 spl14_174 <=> ! [X6 : $int] : $less(0,X6)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_174])])). 54.32/54.35 tff(f4500,plain,( 54.32/54.35 ( ! [X6:$int] : ($less(0,X6)) ) | ~spl14_174), 54.32/54.35 inference(avatar_component_clause,[],[f4499])). 54.32/54.35 tff(f4502,plain,( 54.32/54.35 spl14_176 <=> ! [X7 : map_int_int] : sum(X7,0,0) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_176])])). 54.32/54.35 tff(f4504,plain,( 54.32/54.35 spl14_174 | spl14_176 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4497,f478,f4502,f4499])). 54.32/54.35 tff(f4506,plain,( 54.32/54.35 spl14_178 <=> ! [X8 : $int] : max(0,X8) = X8), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_178])])). 54.32/54.35 tff(f4508,plain,( 54.32/54.35 spl14_178 | spl14_176 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4496,f478,f4502,f4506])). 54.32/54.35 tff(f4511,plain,( 54.32/54.35 ( ! [X4:$int,X5:map_int_int] : (sum(X5,$product(n,0),$product(n,0)) = 0 | $less(0,X4)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1987,f348])). 54.32/54.35 tff(f4514,plain,( 54.32/54.35 ( ! [X10:$int,X11:map_int_int] : (sum(X11,$product(n,0),$product(n,0)) = 0 | max(X10,0) = X10) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f1987,f344])). 54.32/54.35 tff(f4531,plain,( 54.32/54.35 ( ! [X10:$int,X11:map_int_int] : (sum(X11,0,0) = 0 | max(X10,0) = X10) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4514])). 54.32/54.35 tff(f4532,plain,( 54.32/54.35 ( ! [X4:$int,X5:map_int_int] : (sum(X5,0,0) = 0 | $less(0,X4)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4511])). 54.32/54.35 tff(f4534,plain,( 54.32/54.35 spl14_180 <=> ! [X10 : $int] : max(X10,0) = X10), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_180])])). 54.32/54.35 tff(f4536,plain,( 54.32/54.35 spl14_180 | spl14_176 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4531,f478,f4502,f4534])). 54.32/54.35 tff(f4537,plain,( 54.32/54.35 spl14_174 | spl14_176 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4532,f478,f4502,f4499])). 54.32/54.35 tff(f4542,plain,( 54.32/54.35 ( ! [X4:$int] : (mem(X4,below(sK9(below(0)))) | ~$less(X4,sK9(below(0))) | $less(X4,0) | $less(size,sK9(below(0)))) ) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f357])). 54.32/54.35 tff(f4543,plain,( 54.32/54.35 ( ! [X5:$int] : (~$less(X5,0) | ~mem(X5,below(sK9(below(0)))) | $less(size,sK9(below(0)))) ) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f358])). 54.32/54.35 tff(f4544,plain,( 54.32/54.35 ( ! [X6:$int] : ($less(X6,sK9(below(0))) | ~mem(X6,below(sK9(below(0)))) | $less(size,sK9(below(0)))) ) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f359])). 54.32/54.35 tff(f4545,plain,( 54.32/54.35 ( ! [X7:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(sK9(below(0))),t2tb4(X7)))) | mem(sK9(X7),X7) | cardinal(X7) != $sum(n,$uminus(sK9(below(0)))) | $less(n,sK9(below(0)))) ) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f375])). 54.32/54.35 tff(f4546,plain,( 54.32/54.35 ( ! [X8:set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(sK9(below(0))),t2tb4(X8)))) | $less(sK9(X8),0) | ~$less(sK9(X8),n) | cardinal(X8) != $sum(n,$uminus(sK9(below(0)))) | $less(n,sK9(below(0)))) ) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f376])). 54.32/54.35 tff(f4548,plain,( 54.32/54.35 cardinal(below(sK9(below(0)))) = sK9(below(0)) | $less(size,sK9(below(0))) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f444])). 54.32/54.35 tff(f4549,plain,( 54.32/54.35 max($product(n,sK9(below(0))),$product(n,sK9(below(0)))) = $product(n,sK9(below(0))) | (~spl14_11 | ~spl14_151)), 54.32/54.35 inference(resolution,[],[f4300,f937])). 54.32/54.35 tff(f4550,plain,( 54.32/54.35 min($product(n,sK9(below(0))),$product(n,sK9(below(0)))) = $product(n,sK9(below(0))) | (~spl14_11 | ~spl14_151)), 54.32/54.35 inference(resolution,[],[f4300,f938])). 54.32/54.35 tff(f4552,plain,( 54.32/54.35 max(sK9(below(0)),0) = sK9(below(0)) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f346])). 54.32/54.35 tff(f4553,plain,( 54.32/54.35 min(0,sK9(below(0))) = 0 | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f347])). 54.32/54.35 tff(f4554,plain,( 54.32/54.35 max(0,sK9(below(0))) = sK9(below(0)) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f348])). 54.32/54.35 tff(f4555,plain,( 54.32/54.35 min(sK9(below(0)),0) = 0 | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f349])). 54.32/54.35 tff(f4556,plain,( 54.32/54.35 min(0,sK9(below(0))) = min(sK9(below(0)),0) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f350])). 54.32/54.35 tff(f4557,plain,( 54.32/54.35 max(0,sK9(below(0))) = max(sK9(below(0)),0) | ~spl14_151), 54.32/54.35 inference(resolution,[],[f4300,f351])). 54.32/54.35 tff(f4573,plain,( 54.32/54.35 spl14_182 <=> $less(size,sK9(below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_182])])). 54.32/54.35 tff(f4576,plain,( 54.32/54.35 spl14_184 <=> ! [X4 : $int] : (mem(X4,below(sK9(below(0)))) | $less(X4,0) | ~$less(X4,sK9(below(0))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_184])])). 54.32/54.35 tff(f4578,plain,( 54.32/54.35 spl14_182 | spl14_184 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4542,f4299,f4576,f4573])). 54.32/54.35 tff(f4580,plain,( 54.32/54.35 spl14_186 <=> ! [X5 : $int] : (~$less(X5,0) | ~mem(X5,below(sK9(below(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_186])])). 54.32/54.35 tff(f4582,plain,( 54.32/54.35 spl14_182 | spl14_186 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4543,f4299,f4580,f4573])). 54.32/54.35 tff(f4584,plain,( 54.32/54.35 spl14_188 <=> ! [X6 : $int] : ($less(X6,sK9(below(0))) | ~mem(X6,below(sK9(below(0)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_188])])). 54.32/54.35 tff(f4586,plain,( 54.32/54.35 spl14_182 | spl14_188 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4544,f4299,f4584,f4573])). 54.32/54.35 tff(f4588,plain,( 54.32/54.35 spl14_190 <=> $less(n,sK9(below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_190])])). 54.32/54.35 tff(f4591,plain,( 54.32/54.35 spl14_192 <=> ! [X7 : set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(sK9(below(0))),t2tb4(X7)))) | cardinal(X7) != $sum(n,$uminus(sK9(below(0)))) | mem(sK9(X7),X7))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_192])])). 54.32/54.35 tff(f4593,plain,( 54.32/54.35 spl14_190 | spl14_192 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4545,f4299,f4591,f4588])). 54.32/54.35 tff(f4595,plain,( 54.32/54.35 spl14_194 <=> ! [X8 : set1] : (pre(tb2t3(tuple21(int,set2,t2tb2(sK9(below(0))),t2tb4(X8)))) | cardinal(X8) != $sum(n,$uminus(sK9(below(0)))) | ~$less(sK9(X8),n) | $less(sK9(X8),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_194])])). 54.32/54.35 tff(f4597,plain,( 54.32/54.35 spl14_190 | spl14_194 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4546,f4299,f4595,f4588])). 54.32/54.35 tff(f4599,plain,( 54.32/54.35 spl14_196 <=> cardinal(below(sK9(below(0)))) = sK9(below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_196])])). 54.32/54.35 tff(f4601,plain,( 54.32/54.35 spl14_182 | spl14_196 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4548,f4299,f4599,f4573])). 54.32/54.35 tff(f4603,plain,( 54.32/54.35 spl14_198 <=> max($product(n,sK9(below(0))),$product(n,sK9(below(0)))) = $product(n,sK9(below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_198])])). 54.32/54.35 tff(f4605,plain,( 54.32/54.35 spl14_198 | spl14_11 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4549,f4299,f478,f4603])). 54.32/54.35 tff(f4607,plain,( 54.32/54.35 spl14_200 <=> min($product(n,sK9(below(0))),$product(n,sK9(below(0)))) = $product(n,sK9(below(0)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_200])])). 54.32/54.35 tff(f4609,plain,( 54.32/54.35 spl14_200 | spl14_11 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4550,f4299,f478,f4607])). 54.32/54.35 tff(f4611,plain,( 54.32/54.35 spl14_202 <=> max(sK9(below(0)),0) = sK9(below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_202])])). 54.32/54.35 tff(f4613,plain,( 54.32/54.35 spl14_202 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4552,f4299,f4611])). 54.32/54.35 tff(f4615,plain,( 54.32/54.35 spl14_204 <=> min(0,sK9(below(0))) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_204])])). 54.32/54.35 tff(f4616,plain,( 54.32/54.35 min(0,sK9(below(0))) = 0 | ~spl14_204), 54.32/54.35 inference(avatar_component_clause,[],[f4615])). 54.32/54.35 tff(f4617,plain,( 54.32/54.35 spl14_204 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4553,f4299,f4615])). 54.32/54.35 tff(f4619,plain,( 54.32/54.35 spl14_206 <=> max(0,sK9(below(0))) = sK9(below(0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_206])])). 54.32/54.35 tff(f4621,plain,( 54.32/54.35 spl14_206 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4554,f4299,f4619])). 54.32/54.35 tff(f4623,plain,( 54.32/54.35 spl14_208 <=> min(sK9(below(0)),0) = 0), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_208])])). 54.32/54.35 tff(f4625,plain,( 54.32/54.35 spl14_208 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4555,f4299,f4623])). 54.32/54.35 tff(f4627,plain,( 54.32/54.35 spl14_210 <=> min(0,sK9(below(0))) = min(sK9(below(0)),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_210])])). 54.32/54.35 tff(f4629,plain,( 54.32/54.35 spl14_210 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4556,f4299,f4627])). 54.32/54.35 tff(f4631,plain,( 54.32/54.35 spl14_212 <=> max(0,sK9(below(0))) = max(sK9(below(0)),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_212])])). 54.32/54.35 tff(f4633,plain,( 54.32/54.35 spl14_212 | spl14_151), 54.32/54.35 inference(avatar_split_clause,[],[f4557,f4299,f4631])). 54.32/54.35 tff(f4724,plain,( 54.32/54.35 ( ! [X9:set1] : (mem(sK3(X9),X9) | ~mem(n,X9) | $less(sK9(X9),0) | ~mem(sK9(X9),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_98), 54.32/54.35 inference(resolution,[],[f2331,f359])). 54.32/54.35 tff(f4737,plain,( 54.32/54.35 spl14_214 <=> ! [X9 : set1] : (mem(sK3(X9),X9) | ~mem(sK9(X9),below(n)) | $less(sK9(X9),0) | ~mem(n,X9))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_214])])). 54.32/54.35 tff(f4739,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_214 | ~spl14_98), 54.32/54.35 inference(avatar_split_clause,[],[f4724,f2330,f4737,f541,f519])). 54.32/54.35 tff(f4759,plain,( 54.32/54.35 ( ! [X3:$int] : (max($product(n,0),$product(n,0)) = $product(n,0) | $less(0,X3)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2074,f346])). 54.32/54.35 tff(f4760,plain,( 54.32/54.35 ( ! [X4:$int] : (max($product(n,0),$product(n,0)) = $product(n,0) | max(0,X4) = X4) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2074,f344])). 54.32/54.35 tff(f4764,plain,( 54.32/54.35 ( ! [X4:$int] : (max(0,0) = 0 | max(0,X4) = X4) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4760])). 54.32/54.35 tff(f4765,plain,( 54.32/54.35 max(0,0) = 0 | ~spl14_11), 54.32/54.35 inference(condensation,[],[f4764])). 54.32/54.35 tff(f4766,plain,( 54.32/54.35 ( ! [X3:$int] : (max(0,0) = 0 | $less(0,X3)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4759])). 54.32/54.35 tff(f4767,plain,( 54.32/54.35 spl14_174 | spl14_122 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4766,f478,f2754,f4499])). 54.32/54.35 tff(f4768,plain,( 54.32/54.35 spl14_122 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4765,f478,f2754])). 54.32/54.35 tff(f4783,plain,( 54.32/54.35 ( ! [X3:$int] : (min($product(n,0),$product(n,0)) = $product(n,0) | $less(0,X3)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2120,f346])). 54.32/54.35 tff(f4784,plain,( 54.32/54.35 ( ! [X4:$int] : (min($product(n,0),$product(n,0)) = $product(n,0) | max(0,X4) = X4) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2120,f344])). 54.32/54.35 tff(f4788,plain,( 54.32/54.35 ( ! [X4:$int] : (min(0,0) = 0 | max(0,X4) = X4) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4784])). 54.32/54.35 tff(f4789,plain,( 54.32/54.35 ( ! [X3:$int] : (min(0,0) = 0 | $less(0,X3)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4783])). 54.32/54.35 tff(f4790,plain,( 54.32/54.35 spl14_174 | spl14_126 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4789,f478,f2772,f4499])). 54.32/54.35 tff(f4791,plain,( 54.32/54.35 spl14_178 | spl14_126 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4788,f478,f2772,f4506])). 54.32/54.35 tff(f4794,plain,( 54.32/54.35 ( ! [X2:$int] : (min($product(n,0),$product(n,0)) = $product(n,0) | $less(0,X2)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2121,f348])). 54.32/54.35 tff(f4797,plain,( 54.32/54.35 ( ! [X5:$int] : (min($product(n,0),$product(n,0)) = $product(n,0) | max(X5,0) = X5) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2121,f344])). 54.32/54.35 tff(f4800,plain,( 54.32/54.35 ( ! [X5:$int] : (min(0,0) = 0 | max(X5,0) = X5) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4797])). 54.32/54.35 tff(f4801,plain,( 54.32/54.35 ( ! [X2:$int] : (min(0,0) = 0 | $less(0,X2)) ) | ~spl14_11), 54.32/54.35 inference(evaluation,[],[f4794])). 54.32/54.35 tff(f4802,plain,( 54.32/54.35 spl14_180 | spl14_126 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4800,f478,f2772,f4534])). 54.32/54.35 tff(f4807,plain,( 54.32/54.35 $false | ~spl14_174), 54.32/54.35 inference(resolution,[],[f4500,f342])). 54.32/54.35 tff(f4808,plain,( 54.32/54.35 $false | ~spl14_174), 54.32/54.35 inference(resolution,[],[f4500,f341])). 54.32/54.35 tff(f4833,plain,( 54.32/54.35 ~spl14_174), 54.32/54.35 inference(avatar_contradiction_clause,[],[f4808])). 54.32/54.35 tff(f4834,plain,( 54.32/54.35 ~spl14_174), 54.32/54.35 inference(avatar_contradiction_clause,[],[f4807])). 54.32/54.35 tff(f4837,plain,( 54.32/54.35 spl14_174 | spl14_126 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4801,f478,f2772,f4499])). 54.32/54.35 tff(f4909,plain,( 54.32/54.35 ( ! [X37:map_int_int,X35:map_int_int,X38:$int,X36:$int,X34:$int] : ($less(X34,0) | sum(X35,$product($product(n,X34),X36),$product($product(n,X34),X36)) = 0 | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | ~$less(0,n) | $less(X36,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2193,f362])). 54.32/54.35 tff(f4944,plain,( 54.32/54.35 ( ! [X37:map_int_int,X35:map_int_int,X38:$int,X36:$int,X34:$int] : ($less(X34,0) | sum(X35,$product($product(n,X36),X34),$product($product(n,X36),X34)) = 0 | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | ~$less(0,n) | $less(X36,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2193,f362])). 54.32/54.35 tff(f4977,plain,( 54.32/54.35 spl14_216 <=> ! [X34 : $int,X36 : $int,X38 : $int,X35 : map_int_int,X37 : map_int_int] : ($less(X34,0) | ~solution(X37,X38) | $less(X36,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | sum(X35,$product($product(n,X34),X36),$product($product(n,X34),X36)) = 0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_216])])). 54.32/54.35 tff(f4979,plain,( 54.32/54.35 ~spl14_71 | spl14_216 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4909,f478,f4977,f2011])). 54.32/54.35 tff(f4981,plain,( 54.32/54.35 spl14_218 <=> ! [X34 : $int,X36 : $int,X38 : $int,X35 : map_int_int,X37 : map_int_int] : ($less(X34,0) | ~solution(X37,X38) | $less(X36,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | sum(X35,$product($product(n,X36),X34),$product($product(n,X36),X34)) = 0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_218])])). 54.32/54.35 tff(f4983,plain,( 54.32/54.35 ~spl14_71 | spl14_218 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f4944,f478,f4981,f2011])). 54.32/54.35 tff(f5307,plain,( 54.32/54.35 ( ! [X28:map_int_int,X26:$int,X29:$int,X27:$int] : ($less(X26,0) | max($product($product(n,X26),X27),$product($product(n,X26),X27)) = $product($product(n,X26),X27) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | ~$less(0,n) | $less(X27,X29) | ~solution(X28,X29)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2183,f362])). 54.32/54.35 tff(f5344,plain,( 54.32/54.35 ( ! [X28:map_int_int,X26:$int,X29:$int,X27:$int] : ($less(X26,0) | max($product($product(n,X27),X26),$product($product(n,X27),X26)) = $product($product(n,X27),X26) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | ~$less(0,n) | $less(X27,X29) | ~solution(X28,X29)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2183,f362])). 54.32/54.35 tff(f5379,plain,( 54.32/54.35 spl14_220 <=> ! [X27 : $int,X29 : $int,X26 : $int,X28 : map_int_int] : ($less(X26,0) | ~solution(X28,X29) | $less(X27,X29) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | max($product($product(n,X26),X27),$product($product(n,X26),X27)) = $product($product(n,X26),X27))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_220])])). 54.32/54.35 tff(f5381,plain,( 54.32/54.35 ~spl14_71 | spl14_220 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f5307,f478,f5379,f2011])). 54.32/54.35 tff(f5383,plain,( 54.32/54.35 spl14_222 <=> ! [X27 : $int,X29 : $int,X26 : $int,X28 : map_int_int] : ($less(X26,0) | ~solution(X28,X29) | $less(X27,X29) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | max($product($product(n,X27),X26),$product($product(n,X27),X26)) = $product($product(n,X27),X26))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_222])])). 54.32/54.35 tff(f5385,plain,( 54.32/54.35 ~spl14_71 | spl14_222 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f5344,f478,f5383,f2011])). 54.32/54.35 tff(f5394,plain,( 54.32/54.35 ( ! [X28:map_int_int,X26:$int,X29:$int,X27:$int] : ($less(X26,0) | min($product($product(n,X26),X27),$product($product(n,X26),X27)) = $product($product(n,X26),X27) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | ~$less(0,n) | $less(X27,X29) | ~solution(X28,X29)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2184,f362])). 54.32/54.35 tff(f5431,plain,( 54.32/54.35 ( ! [X28:map_int_int,X26:$int,X29:$int,X27:$int] : ($less(X26,0) | min($product($product(n,X27),X26),$product($product(n,X27),X26)) = $product($product(n,X27),X26) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | ~$less(0,n) | $less(X27,X29) | ~solution(X28,X29)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2184,f362])). 54.32/54.35 tff(f5466,plain,( 54.32/54.35 spl14_224 <=> ! [X27 : $int,X29 : $int,X26 : $int,X28 : map_int_int] : ($less(X26,0) | ~solution(X28,X29) | $less(X27,X29) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | min($product($product(n,X26),X27),$product($product(n,X26),X27)) = $product($product(n,X26),X27))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_224])])). 54.32/54.35 tff(f5468,plain,( 54.32/54.35 ~spl14_71 | spl14_224 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f5394,f478,f5466,f2011])). 54.32/54.35 tff(f5470,plain,( 54.32/54.35 spl14_226 <=> ! [X27 : $int,X29 : $int,X26 : $int,X28 : map_int_int] : ($less(X26,0) | ~solution(X28,X29) | $less(X27,X29) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | min($product($product(n,X27),X26),$product($product(n,X27),X26)) = $product($product(n,X27),X26))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_226])])). 54.32/54.35 tff(f5472,plain,( 54.32/54.35 ~spl14_71 | spl14_226 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f5431,f478,f5470,f2011])). 54.32/54.35 tff(f6733,plain,( 54.32/54.35 ( ! [X6:uni,X8:uni,X7:uni,X5:uni] : (tb2t2(get(int,int,X5,t2tb2(n))) != tb2t2(get(int,int,set(int,int,X5,X6,X7),X8)) | ~$less(n,tb2t2(X8)) | ~$less(tb2t2(X8),n) | ~solution(tb2t(set(int,int,X5,X6,X7)),n) | t2tb2(n) = X6 | ~sort(int,t2tb2(n)) | ~sort(int,X6)) ) | ~spl14_11), 54.32/54.35 inference(superposition,[],[f2433,f431])). 54.32/54.35 tff(f6745,plain,( 54.32/54.35 spl14_228 <=> ! [X5 : uni,X7 : uni,X8 : uni,X6 : uni] : (tb2t2(get(int,int,X5,t2tb2(n))) != tb2t2(get(int,int,set(int,int,X5,X6,X7),X8)) | ~sort(int,X6) | t2tb2(n) = X6 | ~solution(tb2t(set(int,int,X5,X6,X7)),n) | ~$less(tb2t2(X8),n) | ~$less(n,tb2t2(X8)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_228])])). 54.32/54.35 tff(f6747,plain,( 54.32/54.35 ~spl14_111 | spl14_228 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f6733,f478,f6745,f2443])). 54.32/54.35 tff(f6997,plain,( 54.32/54.35 ( ! [X19:$int,X20:map_int_int] : ($less(X19,0) | ~solution(X20,$product(n,X19)) | min(0,tb2t2(get(int,int,t2tb(X20),t2tb2($product(n,X19))))) = 0 | ~mem($product(n,X19),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2351,f359])). 54.32/54.35 tff(f7011,plain,( 54.32/54.35 spl14_230 <=> ! [X20 : map_int_int,X19 : $int] : ($less(X19,0) | ~mem($product(n,X19),below(n)) | min(0,tb2t2(get(int,int,t2tb(X20),t2tb2($product(n,X19))))) = 0 | ~solution(X20,$product(n,X19)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_230])])). 54.32/54.35 tff(f7013,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_230 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f6997,f478,f7011,f541,f519])). 54.32/54.35 tff(f7022,plain,( 54.32/54.35 ( ! [X19:$int,X20:map_int_int] : ($less(X19,0) | ~solution(X20,$product(n,X19)) | min(tb2t2(get(int,int,t2tb(X20),t2tb2($product(n,X19)))),0) = 0 | ~mem($product(n,X19),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2353,f359])). 54.32/54.35 tff(f7036,plain,( 54.32/54.35 spl14_232 <=> ! [X20 : map_int_int,X19 : $int] : ($less(X19,0) | ~mem($product(n,X19),below(n)) | min(tb2t2(get(int,int,t2tb(X20),t2tb2($product(n,X19)))),0) = 0 | ~solution(X20,$product(n,X19)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_232])])). 54.32/54.35 tff(f7038,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_232 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7022,f478,f7036,f541,f519])). 54.32/54.35 tff(f7076,plain,( 54.32/54.35 ( ! [X3:$int] : (cardinal(sK1) != X3 | $less(n,0) | mem(sK9(below(X3)),below(X3)) | ~mem(n,below(X3)) | $less(n,n) | $less(X3,0) | $less(size,X3)) ) | (~spl14_11 | ~spl14_12)), 54.32/54.35 inference(superposition,[],[f2245,f484])). 54.32/54.35 tff(f7078,plain,( 54.32/54.35 ( ! [X3:$int] : (0 != X3 | $less(n,0) | mem(sK9(below(X3)),below(X3)) | ~mem(n,below(X3)) | $less(n,n) | $less(X3,0) | $less(size,X3)) ) | (~spl14_11 | ~spl14_12 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f7076,f560])). 54.32/54.35 tff(f7080,plain,( 54.32/54.35 spl14_234 <=> ! [X3 : $int] : (0 != X3 | $less(size,X3) | $less(X3,0) | ~mem(n,below(X3)) | mem(sK9(below(X3)),below(X3)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_234])])). 54.32/54.35 tff(f7082,plain,( 54.32/54.35 spl14_10 | spl14_16 | spl14_234 | spl14_11 | ~spl14_12 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f7078,f559,f483,f478,f7080,f519,f692])). 54.32/54.35 tff(f7117,plain,( 54.32/54.35 ( ! [X28:map_int_int,X29:map_int_int,X27:$int] : ($less(X27,0) | ~solution(X28,$product(n,X27)) | sum(X29,tb2t2(get(int,int,t2tb(X28),t2tb2($product(n,X27)))),0) = 0 | ~mem($product(n,X27),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2360,f359])). 54.32/54.35 tff(f7131,plain,( 54.32/54.35 spl14_236 <=> ! [X27 : $int,X29 : map_int_int,X28 : map_int_int] : ($less(X27,0) | ~mem($product(n,X27),below(n)) | sum(X29,tb2t2(get(int,int,t2tb(X28),t2tb2($product(n,X27)))),0) = 0 | ~solution(X28,$product(n,X27)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_236])])). 54.32/54.35 tff(f7133,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_236 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7117,f478,f7131,f541,f519])). 54.32/54.35 tff(f7290,plain,( 54.32/54.35 $less(sK12(n,sK1,tb2t(const(int,int,t2tb2(0)))),n) | ~solution(tb2t(const(int,int,t2tb2(0))),n) | (~spl14_9 | ~spl14_11)), 54.32/54.35 inference(resolution,[],[f2483,f468])). 54.32/54.35 tff(f7315,plain,( 54.32/54.35 spl14_239 <=> ~solution(tb2t(const(int,int,t2tb2(0))),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_239])])). 54.32/54.35 tff(f7316,plain,( 54.32/54.35 ~solution(tb2t(const(int,int,t2tb2(0))),n) | ~spl14_239), 54.32/54.35 inference(avatar_component_clause,[],[f7315])). 54.32/54.35 tff(f7318,plain,( 54.32/54.35 spl14_240 <=> $less(sK12(n,sK1,tb2t(const(int,int,t2tb2(0)))),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_240])])). 54.32/54.35 tff(f7320,plain,( 54.32/54.35 ~spl14_239 | spl14_240 | spl14_9 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7290,f478,f467,f7318,f7315])). 54.32/54.35 tff(f7335,plain,( 54.32/54.35 ~$less(sK12(n,sK1,tb2t(const(int,int,t2tb2(0)))),n) | ~solution(tb2t(const(int,int,t2tb2(0))),n) | (~spl14_9 | ~spl14_11)), 54.32/54.35 inference(resolution,[],[f2497,f468])). 54.32/54.35 tff(f7381,plain,( 54.32/54.35 ( ! [X28:map_int_int,X26:map_int_int,X29:$int,X27:$int] : (sum(X26,$product(n,X27),$product(n,X27)) = $sum(sum(X26,$product(n,X27),$product(n,X27)),sum(X26,$product(n,X27),$product(n,X27))) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))) | ~$less(0,n) | $less(X27,X29) | ~solution(X28,X29)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2534,f362])). 54.32/54.35 tff(f7418,plain,( 54.32/54.35 spl14_242 <=> ! [X27 : $int,X29 : $int,X26 : map_int_int,X28 : map_int_int] : (sum(X26,$product(n,X27),$product(n,X27)) = $sum(sum(X26,$product(n,X27),$product(n,X27)),sum(X26,$product(n,X27),$product(n,X27))) | ~solution(X28,X29) | $less(X27,X29) | tb2t2(get(int,int,t2tb(X28),t2tb2(0))) != tb2t2(get(int,int,t2tb(X28),t2tb2(X27))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_242])])). 54.32/54.35 tff(f7420,plain,( 54.32/54.35 ~spl14_71 | spl14_242 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7381,f478,f7418,f2011])). 54.32/54.35 tff(f7762,plain,( 54.32/54.35 ( ! [X3:$int] : (cardinal(sK1) != X3 | $less(n,0) | $less(sK9(below(X3)),0) | ~$less(sK9(below(X3)),n) | ~mem(n,below(X3)) | $less(n,n) | $less(X3,0) | $less(size,X3)) ) | (~spl14_11 | ~spl14_12)), 54.32/54.35 inference(superposition,[],[f2326,f484])). 54.32/54.35 tff(f7764,plain,( 54.32/54.35 ( ! [X3:$int] : (0 != X3 | $less(n,0) | $less(sK9(below(X3)),0) | ~$less(sK9(below(X3)),n) | ~mem(n,below(X3)) | $less(n,n) | $less(X3,0) | $less(size,X3)) ) | (~spl14_11 | ~spl14_12 | ~spl14_30)), 54.32/54.35 inference(forward_demodulation,[],[f7762,f560])). 54.32/54.35 tff(f7766,plain,( 54.32/54.35 spl14_244 <=> ! [X3 : $int] : (0 != X3 | $less(size,X3) | $less(X3,0) | ~mem(n,below(X3)) | ~$less(sK9(below(X3)),n) | $less(sK9(below(X3)),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_244])])). 54.32/54.35 tff(f7768,plain,( 54.32/54.35 spl14_10 | spl14_16 | spl14_244 | spl14_11 | ~spl14_12 | ~spl14_30), 54.32/54.35 inference(avatar_split_clause,[],[f7764,f559,f483,f478,f7766,f519,f692])). 54.32/54.35 tff(f7777,plain,( 54.32/54.35 ~mem($product(n,n),below($product(n,n))) | $less(size,$product(n,n)) | $less($product(n,n),0) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f359])). 54.32/54.35 tff(f7778,plain,( 54.32/54.35 ( ! [X2:map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X2),t2tb2($product(n,n)))),0) | ~$less($product(n,n),n) | ~solution(X2,$product(n,n))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f360])). 54.32/54.35 tff(f7779,plain,( 54.32/54.35 ( ! [X3:map_int_int] : ($less(tb2t2(get(int,int,t2tb(X3),t2tb2($product(n,n)))),n) | ~$less($product(n,n),n) | ~solution(X3,$product(n,n))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f361])). 54.32/54.35 tff(f7785,plain,( 54.32/54.35 ( ! [X14:$int,X12:map_int_int,X13:set1] : (mem(tb2t2(get(int,int,t2tb(X12),t2tb2($product(n,n)))),X13) | ~$less($product(n,n),n) | ~post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X13))),tb2t5(tuple21(int,map(int,int),t2tb2(X14),t2tb(X12))))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f426])). 54.32/54.35 tff(f7786,plain,( 54.32/54.35 ( ! [X15:set1,X16:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X15))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X16,$product(n,n),n)),t2tb(X16)))) | $less(sum(X16,$product(n,n),n),0) | ~mem(tb2t2(get(int,int,t2tb(X16),t2tb2(sK12($product(n,n),X15,X16)))),X15) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X15,sum(X16,$product(n,n),n))),t2tb2($product(n,n)))),X15) | ~$less($product(n,n),n) | ~solution(X16,$product(n,n))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f435])). 54.32/54.35 tff(f7787,plain,( 54.32/54.35 ( ! [X17:set1,X18:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X18,$product(n,n),n)),t2tb(X18)))) | $less(sum(X18,$product(n,n),n),0) | $less(sK12($product(n,n),X17,X18),n) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X17,sum(X18,$product(n,n),n))),t2tb2($product(n,n)))),X17) | ~$less($product(n,n),n) | ~solution(X18,$product(n,n))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f438])). 54.32/54.35 tff(f7788,plain,( 54.32/54.35 ( ! [X19:set1,X20:map_int_int] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X19))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X20,$product(n,n),n)),t2tb(X20)))) | $less(sum(X20,$product(n,n),n),0) | ~$less(sK12($product(n,n),X19,X20),$product(n,n)) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X19,sum(X20,$product(n,n),n))),t2tb2($product(n,n)))),X19) | ~$less($product(n,n),n) | ~solution(X20,$product(n,n))) ) | ~spl14_173), 54.32/54.35 inference(resolution,[],[f4406,f441])). 54.32/54.35 tff(f7790,plain,( 54.32/54.35 spl14_246 <=> $less($product(n,n),0)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_246])])). 54.32/54.35 tff(f7793,plain,( 54.32/54.35 spl14_248 <=> $less(size,$product(n,n))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_248])])). 54.32/54.35 tff(f7796,plain,( 54.32/54.35 spl14_251 <=> ~mem($product(n,n),below($product(n,n)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_251])])). 54.32/54.35 tff(f7798,plain,( 54.32/54.35 spl14_246 | spl14_248 | ~spl14_251 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7777,f4405,f7796,f7793,f7790])). 54.32/54.35 tff(f7800,plain,( 54.32/54.35 spl14_253 <=> ~$less($product(n,n),n)), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_253])])). 54.32/54.35 tff(f7801,plain,( 54.32/54.35 ~$less($product(n,n),n) | ~spl14_253), 54.32/54.35 inference(avatar_component_clause,[],[f7800])). 54.32/54.35 tff(f7803,plain,( 54.32/54.35 spl14_254 <=> ! [X2 : map_int_int] : (~$less(tb2t2(get(int,int,t2tb(X2),t2tb2($product(n,n)))),0) | ~solution(X2,$product(n,n)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_254])])). 54.32/54.35 tff(f7805,plain,( 54.32/54.35 ~spl14_253 | spl14_254 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7778,f4405,f7803,f7800])). 54.32/54.35 tff(f7807,plain,( 54.32/54.35 spl14_256 <=> ! [X3 : map_int_int] : ($less(tb2t2(get(int,int,t2tb(X3),t2tb2($product(n,n)))),n) | ~solution(X3,$product(n,n)))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_256])])). 54.32/54.35 tff(f7809,plain,( 54.32/54.35 ~spl14_253 | spl14_256 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7779,f4405,f7807,f7800])). 54.32/54.35 tff(f7815,plain,( 54.32/54.35 spl14_258 <=> ! [X13 : set1,X12 : map_int_int,X14 : $int] : (mem(tb2t2(get(int,int,t2tb(X12),t2tb2($product(n,n)))),X13) | ~post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X13))),tb2t5(tuple21(int,map(int,int),t2tb2(X14),t2tb(X12)))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_258])])). 54.32/54.35 tff(f7817,plain,( 54.32/54.35 ~spl14_253 | spl14_258 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7785,f4405,f7815,f7800])). 54.32/54.35 tff(f7819,plain,( 54.32/54.35 spl14_260 <=> ! [X16 : map_int_int,X15 : set1] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X15))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X16,$product(n,n),n)),t2tb(X16)))) | ~solution(X16,$product(n,n)) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X15,sum(X16,$product(n,n),n))),t2tb2($product(n,n)))),X15) | ~mem(tb2t2(get(int,int,t2tb(X16),t2tb2(sK12($product(n,n),X15,X16)))),X15) | $less(sum(X16,$product(n,n),n),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_260])])). 54.32/54.35 tff(f7821,plain,( 54.32/54.35 ~spl14_253 | spl14_260 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7786,f4405,f7819,f7800])). 54.32/54.35 tff(f7823,plain,( 54.32/54.35 spl14_262 <=> ! [X18 : map_int_int,X17 : set1] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X17))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X18,$product(n,n),n)),t2tb(X18)))) | ~solution(X18,$product(n,n)) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X17,sum(X18,$product(n,n),n))),t2tb2($product(n,n)))),X17) | $less(sK12($product(n,n),X17,X18),n) | $less(sum(X18,$product(n,n),n),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_262])])). 54.32/54.35 tff(f7825,plain,( 54.32/54.35 ~spl14_253 | spl14_262 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7787,f4405,f7823,f7800])). 54.32/54.35 tff(f7827,plain,( 54.32/54.35 spl14_264 <=> ! [X20 : map_int_int,X19 : set1] : (post(tb2t3(tuple21(int,set2,t2tb2($product(n,n)),t2tb4(X19))),tb2t5(tuple21(int,map(int,int),t2tb2(sum(X20,$product(n,n),n)),t2tb(X20)))) | ~solution(X20,$product(n,n)) | mem(tb2t2(get(int,int,t2tb(sK13($product(n,n),X19,sum(X20,$product(n,n),n))),t2tb2($product(n,n)))),X19) | ~$less(sK12($product(n,n),X19,X20),$product(n,n)) | $less(sum(X20,$product(n,n),n),0))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_264])])). 54.32/54.35 tff(f7829,plain,( 54.32/54.35 ~spl14_253 | spl14_264 | spl14_173), 54.32/54.35 inference(avatar_split_clause,[],[f7788,f4405,f7827,f7800])). 54.32/54.35 tff(f7865,plain,( 54.32/54.35 ( ! [X78:map_int_int,X79:$int,X77:$int] : ($less(X77,0) | sum(X78,$product(n,X77),$product(X79,X77)) = $sum(sum(X78,$product(n,X77),$product(n,X77)),sum(X78,$product(n,X77),$product(X79,X77))) | mem(X79,below(n)) | $less(X79,0) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2535,f357])). 54.32/54.35 tff(f7908,plain,( 54.32/54.35 ( ! [X37:map_int_int,X35:map_int_int,X38:$int,X36:$int,X34:$int] : ($less(X34,n) | sum(X35,$product(n,X36),$product(X34,X36)) = $sum(sum(X35,$product(n,X36),$product(n,X36)),sum(X35,$product(n,X36),$product(X34,X36))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | ~$less(0,n) | $less(X36,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2535,f362])). 54.32/54.35 tff(f7946,plain,( 54.32/54.35 spl14_266 <=> ! [X77 : $int,X79 : $int,X78 : map_int_int] : ($less(X77,0) | $less(X79,0) | mem(X79,below(n)) | sum(X78,$product(n,X77),$product(X79,X77)) = $sum(sum(X78,$product(n,X77),$product(n,X77)),sum(X78,$product(n,X77),$product(X79,X77))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_266])])). 54.32/54.35 tff(f7948,plain,( 54.32/54.35 spl14_16 | spl14_26 | spl14_266 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7865,f478,f7946,f541,f519])). 54.32/54.35 tff(f7961,plain,( 54.32/54.35 spl14_268 <=> ! [X34 : $int,X36 : $int,X38 : $int,X35 : map_int_int,X37 : map_int_int] : ($less(X34,n) | ~solution(X37,X38) | $less(X36,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | sum(X35,$product(n,X36),$product(X34,X36)) = $sum(sum(X35,$product(n,X36),$product(n,X36)),sum(X35,$product(n,X36),$product(X34,X36))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_268])])). 54.32/54.35 tff(f7963,plain,( 54.32/54.35 ~spl14_71 | spl14_268 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7908,f478,f7961,f2011])). 54.32/54.35 tff(f7980,plain,( 54.32/54.35 ( ! [X23:$int,X21:$int,X22:map_int_int] : ($less(X21,0) | sum(X22,$product(X23,X21),$product(n,X21)) = $sum(sum(X22,$product(X23,X21),$product(n,X21)),sum(X22,$product(n,X21),$product(n,X21))) | mem(n,below(X23)) | $less(n,0) | $less(size,X23) | $less(X23,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2568,f357])). 54.32/54.35 tff(f8012,plain,( 54.32/54.35 ( ! [X37:map_int_int,X35:map_int_int,X38:$int,X36:$int,X34:$int] : ($less(n,X34) | sum(X35,$product(X34,X36),$product(n,X36)) = $sum(sum(X35,$product(X34,X36),$product(n,X36)),sum(X35,$product(n,X36),$product(n,X36))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | ~$less(0,n) | $less(X36,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f2568,f362])). 54.32/54.35 tff(f8059,plain,( 54.32/54.35 spl14_270 <=> ! [X22 : map_int_int,X21 : $int,X23 : $int] : ($less(X21,0) | $less(X23,0) | $less(size,X23) | mem(n,below(X23)) | sum(X22,$product(X23,X21),$product(n,X21)) = $sum(sum(X22,$product(X23,X21),$product(n,X21)),sum(X22,$product(n,X21),$product(n,X21))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_270])])). 54.32/54.35 tff(f8061,plain,( 54.32/54.35 spl14_16 | spl14_270 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f7980,f478,f8059,f519])). 54.32/54.35 tff(f8063,plain,( 54.32/54.35 spl14_272 <=> ! [X34 : $int,X36 : $int,X38 : $int,X35 : map_int_int,X37 : map_int_int] : ($less(n,X34) | ~solution(X37,X38) | $less(X36,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | sum(X35,$product(X34,X36),$product(n,X36)) = $sum(sum(X35,$product(X34,X36),$product(n,X36)),sum(X35,$product(n,X36),$product(n,X36))))), 54.32/54.35 introduced(avatar_definition,[new_symbols(naming,[spl14_272])])). 54.32/54.35 tff(f8065,plain,( 54.32/54.35 ~spl14_71 | spl14_272 | spl14_11), 54.32/54.35 inference(avatar_split_clause,[],[f8012,f478,f8063,f2011])). 54.32/54.35 tff(f8131,plain,( 54.32/54.35 ( ! [X39:map_int_int,X37:$int,X38:map_int_int,X36:$int] : ($less(X36,X37) | sum(X38,$product(n,tb2t2(get(int,int,t2tb(X39),t2tb2(X36)))),$product(n,tb2t2(get(int,int,t2tb(X39),t2tb2(X36))))) = 0 | ~solution(X39,X37) | ~mem(X36,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f1994,f359])). 54.32/54.35 tff(f8146,plain,( 54.32/54.35 ( ! [X118:map_int_int,X116:$int,X119:$int,X117:map_int_int] : ($less(size,X116) | sum(X117,$product(n,tb2t2(get(int,int,t2tb(X118),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X118),t2tb2(size))))) = 0 | ~solution(X118,X116) | mem(X119,below(n)) | ~$less(X119,n) | $less(X119,0) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f1994,f357])). 54.32/54.35 tff(f8147,plain,( 54.32/54.35 ( ! [X123:$int,X121:map_int_int,X122:map_int_int,X120:$int] : ($less(size,X120) | sum(X121,$product(n,tb2t2(get(int,int,t2tb(X122),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X122),t2tb2(size))))) = 0 | ~solution(X122,X120) | ~$less(X123,0) | ~mem(X123,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f1994,f358])). 54.32/54.35 tff(f8148,plain,( 54.32/54.35 ( ! [X127:$int,X125:map_int_int,X126:map_int_int,X124:$int] : ($less(size,X124) | sum(X125,$product(n,tb2t2(get(int,int,t2tb(X126),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X126),t2tb2(size))))) = 0 | ~solution(X126,X124) | $less(X127,n) | ~mem(X127,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.35 inference(resolution,[],[f1994,f359])). 54.32/54.35 tff(f8149,plain,( 54.32/54.35 ( ! [X130:map_int_int,X128:$int,X129:map_int_int] : ($less(size,X128) | sum(X129,$product(n,tb2t2(get(int,int,t2tb(X130),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X130),t2tb2(size))))) = 0 | ~solution(X130,X128) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1994,f444])). 54.32/54.36 tff(f8167,plain,( 54.32/54.36 spl14_274 <=> ! [X36 : $int,X38 : map_int_int,X37 : $int,X39 : map_int_int] : ($less(X36,X37) | ~mem(X36,below(n)) | ~solution(X39,X37) | sum(X38,$product(n,tb2t2(get(int,int,t2tb(X39),t2tb2(X36)))),$product(n,tb2t2(get(int,int,t2tb(X39),t2tb2(X36))))) = 0)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_274])])). 54.32/54.36 tff(f8169,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_274 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8131,f478,f8167,f541,f519])). 54.32/54.36 tff(f8175,plain,( 54.32/54.36 spl14_276 <=> ! [X117 : map_int_int,X116 : $int,X118 : map_int_int] : ($less(size,X116) | sum(X117,$product(n,tb2t2(get(int,int,t2tb(X118),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X118),t2tb2(size))))) = 0 | ~solution(X118,X116))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_276])])). 54.32/54.36 tff(f8177,plain,( 54.32/54.36 spl14_16 | spl14_136 | spl14_276 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8146,f478,f8175,f2958,f519])). 54.32/54.36 tff(f8178,plain,( 54.32/54.36 spl14_16 | spl14_140 | spl14_276 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8147,f478,f8175,f2965,f519])). 54.32/54.36 tff(f8179,plain,( 54.32/54.36 spl14_16 | spl14_142 | spl14_276 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8148,f478,f8175,f2969,f519])). 54.32/54.36 tff(f8180,plain,( 54.32/54.36 spl14_16 | spl14_144 | spl14_276 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8149,f478,f8175,f2973,f519])). 54.32/54.36 tff(f8235,plain,( 54.32/54.36 ( ! [X37:map_int_int,X35:$int,X38:$int,X36:$int,X34:map_int_int] : (sum(X34,$product(n,X35),max($product(n,X35),X36)) = $sum(sum(X34,$product(n,X35),$product(n,X35)),sum(X34,$product(n,X35),max($product(n,X35),X36))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))) | ~$less(0,n) | $less(X35,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2516,f362])). 54.32/54.36 tff(f8273,plain,( 54.32/54.36 spl14_278 <=> ! [X34 : map_int_int,X36 : $int,X38 : $int,X35 : $int,X37 : map_int_int] : (sum(X34,$product(n,X35),max($product(n,X35),X36)) = $sum(sum(X34,$product(n,X35),$product(n,X35)),sum(X34,$product(n,X35),max($product(n,X35),X36))) | ~solution(X37,X38) | $less(X35,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_278])])). 54.32/54.36 tff(f8275,plain,( 54.32/54.36 ~spl14_71 | spl14_278 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8235,f478,f8273,f2011])). 54.32/54.36 tff(f8289,plain,( 54.32/54.36 max($product(n,n),n) = $product(n,n) | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f346])). 54.32/54.36 tff(f8290,plain,( 54.32/54.36 min(n,$product(n,n)) = n | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f347])). 54.32/54.36 tff(f8291,plain,( 54.32/54.36 max(n,$product(n,n)) = $product(n,n) | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f348])). 54.32/54.36 tff(f8292,plain,( 54.32/54.36 min($product(n,n),n) = n | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f349])). 54.32/54.36 tff(f8293,plain,( 54.32/54.36 min(n,$product(n,n)) = min($product(n,n),n) | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f350])). 54.32/54.36 tff(f8294,plain,( 54.32/54.36 max(n,$product(n,n)) = max($product(n,n),n) | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f351])). 54.32/54.36 tff(f8295,plain,( 54.32/54.36 ~mem($product(n,n),below(n)) | $less(size,n) | $less(n,0) | ~spl14_253), 54.32/54.36 inference(resolution,[],[f7801,f359])). 54.32/54.36 tff(f8310,plain,( 54.32/54.36 spl14_280 <=> max($product(n,n),n) = $product(n,n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_280])])). 54.32/54.36 tff(f8312,plain,( 54.32/54.36 spl14_280 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8289,f7800,f8310])). 54.32/54.36 tff(f8314,plain,( 54.32/54.36 spl14_282 <=> min(n,$product(n,n)) = n), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_282])])). 54.32/54.36 tff(f8315,plain,( 54.32/54.36 min(n,$product(n,n)) = n | ~spl14_282), 54.32/54.36 inference(avatar_component_clause,[],[f8314])). 54.32/54.36 tff(f8316,plain,( 54.32/54.36 spl14_282 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8290,f7800,f8314])). 54.32/54.36 tff(f8318,plain,( 54.32/54.36 spl14_284 <=> max(n,$product(n,n)) = $product(n,n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_284])])). 54.32/54.36 tff(f8320,plain,( 54.32/54.36 spl14_284 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8291,f7800,f8318])). 54.32/54.36 tff(f8322,plain,( 54.32/54.36 spl14_286 <=> min($product(n,n),n) = n), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_286])])). 54.32/54.36 tff(f8324,plain,( 54.32/54.36 spl14_286 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8292,f7800,f8322])). 54.32/54.36 tff(f8326,plain,( 54.32/54.36 spl14_288 <=> min(n,$product(n,n)) = min($product(n,n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_288])])). 54.32/54.36 tff(f8328,plain,( 54.32/54.36 spl14_288 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8293,f7800,f8326])). 54.32/54.36 tff(f8330,plain,( 54.32/54.36 spl14_290 <=> max(n,$product(n,n)) = max($product(n,n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_290])])). 54.32/54.36 tff(f8332,plain,( 54.32/54.36 spl14_290 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8294,f7800,f8330])). 54.32/54.36 tff(f8334,plain,( 54.32/54.36 spl14_293 <=> ~mem($product(n,n),below(n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_293])])). 54.32/54.36 tff(f8336,plain,( 54.32/54.36 spl14_16 | spl14_26 | ~spl14_293 | spl14_253), 54.32/54.36 inference(avatar_split_clause,[],[f8295,f7800,f8334,f541,f519])). 54.32/54.36 tff(f8345,plain,( 54.32/54.36 ( ! [X37:map_int_int,X35:$int,X38:$int,X36:$int,X34:map_int_int] : (sum(X34,$product(n,X35),max(X36,$product(n,X35))) = $sum(sum(X34,$product(n,X35),$product(n,X35)),sum(X34,$product(n,X35),max(X36,$product(n,X35)))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))) | ~$less(0,n) | $less(X35,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2517,f362])). 54.32/54.36 tff(f8383,plain,( 54.32/54.36 spl14_294 <=> ! [X34 : map_int_int,X36 : $int,X38 : $int,X35 : $int,X37 : map_int_int] : (sum(X34,$product(n,X35),max(X36,$product(n,X35))) = $sum(sum(X34,$product(n,X35),$product(n,X35)),sum(X34,$product(n,X35),max(X36,$product(n,X35)))) | ~solution(X37,X38) | $less(X35,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_294])])). 54.32/54.36 tff(f8385,plain,( 54.32/54.36 ~spl14_71 | spl14_294 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8345,f478,f8383,f2011])). 54.32/54.36 tff(f8404,plain,( 54.32/54.36 ( ! [X37:map_int_int,X35:$int,X38:$int,X36:$int,X34:map_int_int] : (sum(X34,min($product(n,X35),X36),$product(n,X35)) = $sum(sum(X34,min($product(n,X35),X36),$product(n,X35)),sum(X34,$product(n,X35),$product(n,X35))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))) | ~$less(0,n) | $less(X35,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2545,f362])). 54.32/54.36 tff(f8442,plain,( 54.32/54.36 spl14_296 <=> ! [X34 : map_int_int,X36 : $int,X38 : $int,X35 : $int,X37 : map_int_int] : (sum(X34,min($product(n,X35),X36),$product(n,X35)) = $sum(sum(X34,min($product(n,X35),X36),$product(n,X35)),sum(X34,$product(n,X35),$product(n,X35))) | ~solution(X37,X38) | $less(X35,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X35))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_296])])). 54.32/54.36 tff(f8444,plain,( 54.32/54.36 ~spl14_71 | spl14_296 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8404,f478,f8442,f2011])). 54.32/54.36 tff(f8463,plain,( 54.32/54.36 ( ! [X37:map_int_int,X35:$int,X38:$int,X36:$int,X34:map_int_int] : (sum(X34,min(X35,$product(n,X36)),$product(n,X36)) = $sum(sum(X34,min(X35,$product(n,X36)),$product(n,X36)),sum(X34,$product(n,X36),$product(n,X36))) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))) | ~$less(0,n) | $less(X36,X38) | ~solution(X37,X38)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2546,f362])). 54.32/54.36 tff(f8501,plain,( 54.32/54.36 spl14_298 <=> ! [X34 : map_int_int,X36 : $int,X38 : $int,X35 : $int,X37 : map_int_int] : (sum(X34,min(X35,$product(n,X36)),$product(n,X36)) = $sum(sum(X34,min(X35,$product(n,X36)),$product(n,X36)),sum(X34,$product(n,X36),$product(n,X36))) | ~solution(X37,X38) | $less(X36,X38) | tb2t2(get(int,int,t2tb(X37),t2tb2(0))) != tb2t2(get(int,int,t2tb(X37),t2tb2(X36))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_298])])). 54.32/54.36 tff(f8503,plain,( 54.32/54.36 ~spl14_71 | spl14_298 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8463,f478,f8501,f2011])). 54.32/54.36 tff(f8645,plain,( 54.32/54.36 ( ! [X30:$int,X28:$int,X29:map_int_int] : ($less(X28,0) | $less(tb2t2(get(int,int,t2tb(X29),t2tb2($product($product(n,X30),X28)))),n) | $less(X30,0) | ~solution(X29,$product($product(n,X30),X28)) | ~mem($product($product(n,X30),X28),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2191,f359])). 54.32/54.36 tff(f8658,plain,( 54.32/54.36 spl14_300 <=> ! [X29 : map_int_int,X28 : $int,X30 : $int] : ($less(X28,0) | ~mem($product($product(n,X30),X28),below(n)) | ~solution(X29,$product($product(n,X30),X28)) | $less(X30,0) | $less(tb2t2(get(int,int,t2tb(X29),t2tb2($product($product(n,X30),X28)))),n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_300])])). 54.32/54.36 tff(f8660,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_300 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8645,f478,f8658,f541,f519])). 54.32/54.36 tff(f8773,plain,( 54.32/54.36 ( ! [X4:$int,X2:uni,X3:uni] : (tb2t2(X3) != tb2t2(get(int,int,X2,t2tb2(X4))) | ~$less(n,X4) | ~$less(X4,n) | ~solution(tb2t(set(int,int,X2,t2tb2(n),X3)),n) | ~sort(int,X3) | t2tb2(n) = t2tb2(X4) | ~sort(int,t2tb2(X4)) | ~sort(int,t2tb2(n))) ) | ~spl14_11), 54.32/54.36 inference(superposition,[],[f2431,f431])). 54.32/54.36 tff(f8777,plain,( 54.32/54.36 spl14_302 <=> ! [X3 : uni,X2 : uni,X4 : $int] : (tb2t2(X3) != tb2t2(get(int,int,X2,t2tb2(X4))) | ~sort(int,t2tb2(X4)) | t2tb2(n) = t2tb2(X4) | ~sort(int,X3) | ~solution(tb2t(set(int,int,X2,t2tb2(n),X3)),n) | ~$less(X4,n) | ~$less(n,X4))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_302])])). 54.32/54.36 tff(f8779,plain,( 54.32/54.36 ~spl14_111 | spl14_302 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8773,f478,f8777,f2443])). 54.32/54.36 tff(f8782,plain,( 54.32/54.36 ( ! [X4:uni,X2:uni,X3:$int] : (tb2t2(X4) != tb2t2(get(int,int,X2,t2tb2(n))) | ~$less(n,X3) | ~$less(X3,n) | ~solution(tb2t(set(int,int,X2,t2tb2(X3),X4)),n) | ~sort(int,X4) | t2tb2(n) = t2tb2(X3) | ~sort(int,t2tb2(n)) | ~sort(int,t2tb2(X3))) ) | ~spl14_11), 54.32/54.36 inference(superposition,[],[f2435,f431])). 54.32/54.36 tff(f8787,plain,( 54.32/54.36 spl14_304 <=> ! [X3 : $int,X2 : uni,X4 : uni] : (tb2t2(X4) != tb2t2(get(int,int,X2,t2tb2(n))) | ~sort(int,t2tb2(X3)) | t2tb2(n) = t2tb2(X3) | ~sort(int,X4) | ~solution(tb2t(set(int,int,X2,t2tb2(X3),X4)),n) | ~$less(n,X3) | ~$less(X3,n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_304])])). 54.32/54.36 tff(f8789,plain,( 54.32/54.36 ~spl14_111 | spl14_304 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8782,f478,f8787,f2443])). 54.32/54.36 tff(f8821,plain,( 54.32/54.36 0 = sK9(below(0)) | $less(0,sK9(below(0))) | ~spl14_204), 54.32/54.36 inference(superposition,[],[f4616,f349])). 54.32/54.36 tff(f8826,plain,( 54.32/54.36 0 = sK9(below(0)) | $less(0,sK9(below(0))) | ~spl14_204), 54.32/54.36 inference(superposition,[],[f349,f4616])). 54.32/54.36 tff(f8828,plain,( 54.32/54.36 spl14_306 <=> $less(0,sK9(below(0)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_306])])). 54.32/54.36 tff(f8831,plain,( 54.32/54.36 spl14_308 <=> 0 = sK9(below(0))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_308])])). 54.32/54.36 tff(f8833,plain,( 54.32/54.36 spl14_306 | spl14_308 | ~spl14_204), 54.32/54.36 inference(avatar_split_clause,[],[f8821,f4615,f8831,f8828])). 54.32/54.36 tff(f8834,plain,( 54.32/54.36 spl14_306 | spl14_308 | ~spl14_204), 54.32/54.36 inference(avatar_split_clause,[],[f8826,f4615,f8831,f8828])). 54.32/54.36 tff(f8944,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:$int] : ($less(X23,0) | ~solution(X24,$product(n,X23)) | max(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | ~mem($product(n,X23),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2350,f359])). 54.32/54.36 tff(f8958,plain,( 54.32/54.36 spl14_310 <=> ! [X23 : $int,X24 : map_int_int] : ($less(X23,0) | ~mem($product(n,X23),below(n)) | max(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | ~solution(X24,$product(n,X23)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_310])])). 54.32/54.36 tff(f8960,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_310 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8944,f478,f8958,f541,f519])). 54.32/54.36 tff(f8970,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:$int] : ($less(X23,0) | ~solution(X24,$product(n,X23)) | max(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | ~mem($product(n,X23),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2352,f359])). 54.32/54.36 tff(f8984,plain,( 54.32/54.36 spl14_312 <=> ! [X23 : $int,X24 : map_int_int] : ($less(X23,0) | ~mem($product(n,X23),below(n)) | max(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | ~solution(X24,$product(n,X23)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_312])])). 54.32/54.36 tff(f8986,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_312 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f8970,f478,f8984,f541,f519])). 54.32/54.36 tff(f9223,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:$int] : ($less(X23,0) | ~solution(X24,$product(n,X23)) | min(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = min(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | ~mem($product(n,X23),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2354,f359])). 54.32/54.36 tff(f9237,plain,( 54.32/54.36 spl14_314 <=> ! [X23 : $int,X24 : map_int_int] : ($less(X23,0) | ~mem($product(n,X23),below(n)) | min(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = min(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | ~solution(X24,$product(n,X23)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_314])])). 54.32/54.36 tff(f9239,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_314 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9223,f478,f9237,f541,f519])). 54.32/54.36 tff(f9259,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:$int] : ($less(X23,0) | ~solution(X24,$product(n,X23)) | max(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = max(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | ~mem($product(n,X23),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2355,f359])). 54.32/54.36 tff(f9273,plain,( 54.32/54.36 spl14_316 <=> ! [X23 : $int,X24 : map_int_int] : ($less(X23,0) | ~mem($product(n,X23),below(n)) | max(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))),0) = max(0,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | ~solution(X24,$product(n,X23)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_316])])). 54.32/54.36 tff(f9275,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_316 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9259,f478,f9273,f541,f519])). 54.32/54.36 tff(f9446,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:map_int_int] : (solution(X23,0) | sum(X24,$product(n,sK6(X23,0)),$product(n,sK6(X23,0))) = 0 | $less(tb2t2(get(int,int,t2tb(X23),t2tb2(sK8(X23,0)))),0) | ~mem(tb2t2(get(int,int,t2tb(X23),t2tb2(sK8(X23,0)))),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1998,f359])). 54.32/54.36 tff(f9460,plain,( 54.32/54.36 spl14_318 <=> ! [X23 : map_int_int,X24 : map_int_int] : (solution(X23,0) | ~mem(tb2t2(get(int,int,t2tb(X23),t2tb2(sK8(X23,0)))),below(n)) | $less(tb2t2(get(int,int,t2tb(X23),t2tb2(sK8(X23,0)))),0) | sum(X24,$product(n,sK6(X23,0)),$product(n,sK6(X23,0))) = 0)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_318])])). 54.32/54.36 tff(f9462,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_318 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9446,f478,f9460,f541,f519])). 54.32/54.36 tff(f9465,plain,( 54.32/54.36 n = $product(n,n) | $less(n,$product(n,n)) | ~spl14_282), 54.32/54.36 inference(superposition,[],[f8315,f349])). 54.32/54.36 tff(f9470,plain,( 54.32/54.36 n = $product(n,n) | $less(n,$product(n,n)) | ~spl14_282), 54.32/54.36 inference(superposition,[],[f349,f8315])). 54.32/54.36 tff(f9472,plain,( 54.32/54.36 spl14_320 <=> $less(n,$product(n,n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_320])])). 54.32/54.36 tff(f9473,plain,( 54.32/54.36 $less(n,$product(n,n)) | ~spl14_320), 54.32/54.36 inference(avatar_component_clause,[],[f9472])). 54.32/54.36 tff(f9475,plain,( 54.32/54.36 spl14_322 <=> n = $product(n,n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_322])])). 54.32/54.36 tff(f9477,plain,( 54.32/54.36 spl14_320 | spl14_322 | ~spl14_282), 54.32/54.36 inference(avatar_split_clause,[],[f9465,f8314,f9475,f9472])). 54.32/54.36 tff(f9478,plain,( 54.32/54.36 spl14_320 | spl14_322 | ~spl14_282), 54.32/54.36 inference(avatar_split_clause,[],[f9470,f8314,f9475,f9472])). 54.32/54.36 tff(f9487,plain,( 54.32/54.36 ( ! [X30:map_int_int,X28:$int,X29:$int] : ($less(X28,X29) | max($product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))),$product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28))))) = $product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))) | ~solution(X30,X29) | ~mem(X28,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2082,f359])). 54.32/54.36 tff(f9502,plain,( 54.32/54.36 ( ! [X94:map_int_int,X95:$int,X93:$int] : ($less(size,X93) | max($product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))) | ~solution(X94,X93) | mem(X95,below(n)) | ~$less(X95,n) | $less(X95,0) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2082,f357])). 54.32/54.36 tff(f9503,plain,( 54.32/54.36 ( ! [X97:map_int_int,X98:$int,X96:$int] : ($less(size,X96) | max($product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size)))) | ~solution(X97,X96) | ~$less(X98,0) | ~mem(X98,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2082,f358])). 54.32/54.36 tff(f9504,plain,( 54.32/54.36 ( ! [X101:$int,X99:$int,X100:map_int_int] : ($less(size,X99) | max($product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size)))) | ~solution(X100,X99) | $less(X101,n) | ~mem(X101,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2082,f359])). 54.32/54.36 tff(f9505,plain,( 54.32/54.36 ( ! [X103:map_int_int,X102:$int] : ($less(size,X102) | max($product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size)))) | ~solution(X103,X102) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2082,f444])). 54.32/54.36 tff(f9523,plain,( 54.32/54.36 spl14_324 <=> ! [X29 : $int,X28 : $int,X30 : map_int_int] : ($less(X28,X29) | ~mem(X28,below(n)) | ~solution(X30,X29) | max($product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))),$product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28))))) = $product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_324])])). 54.32/54.36 tff(f9525,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_324 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9487,f478,f9523,f541,f519])). 54.32/54.36 tff(f9531,plain,( 54.32/54.36 spl14_326 <=> ! [X93 : $int,X94 : map_int_int] : ($less(size,X93) | max($product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))) | ~solution(X94,X93))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_326])])). 54.32/54.36 tff(f9533,plain,( 54.32/54.36 spl14_16 | spl14_136 | spl14_326 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9502,f478,f9531,f2958,f519])). 54.32/54.36 tff(f9534,plain,( 54.32/54.36 spl14_16 | spl14_140 | spl14_326 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9503,f478,f9531,f2965,f519])). 54.32/54.36 tff(f9535,plain,( 54.32/54.36 spl14_16 | spl14_142 | spl14_326 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9504,f478,f9531,f2969,f519])). 54.32/54.36 tff(f9536,plain,( 54.32/54.36 spl14_16 | spl14_144 | spl14_326 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9505,f478,f9531,f2973,f519])). 54.32/54.36 tff(f9561,plain,( 54.32/54.36 ( ! [X30:map_int_int,X28:$int,X29:$int] : ($less(X28,X29) | min($product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))),$product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28))))) = $product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))) | ~solution(X30,X29) | ~mem(X28,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2128,f359])). 54.32/54.36 tff(f9576,plain,( 54.32/54.36 ( ! [X94:map_int_int,X95:$int,X93:$int] : ($less(size,X93) | min($product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))) | ~solution(X94,X93) | mem(X95,below(n)) | ~$less(X95,n) | $less(X95,0) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2128,f357])). 54.32/54.36 tff(f9577,plain,( 54.32/54.36 ( ! [X97:map_int_int,X98:$int,X96:$int] : ($less(size,X96) | min($product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X97),t2tb2(size)))) | ~solution(X97,X96) | ~$less(X98,0) | ~mem(X98,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2128,f358])). 54.32/54.36 tff(f9578,plain,( 54.32/54.36 ( ! [X101:$int,X99:$int,X100:map_int_int] : ($less(size,X99) | min($product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X100),t2tb2(size)))) | ~solution(X100,X99) | $less(X101,n) | ~mem(X101,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2128,f359])). 54.32/54.36 tff(f9579,plain,( 54.32/54.36 ( ! [X103:map_int_int,X102:$int] : ($less(size,X102) | min($product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X103),t2tb2(size)))) | ~solution(X103,X102) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2128,f444])). 54.32/54.36 tff(f9597,plain,( 54.32/54.36 spl14_328 <=> ! [X29 : $int,X28 : $int,X30 : map_int_int] : ($less(X28,X29) | ~mem(X28,below(n)) | ~solution(X30,X29) | min($product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))),$product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28))))) = $product(n,tb2t2(get(int,int,t2tb(X30),t2tb2(X28)))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_328])])). 54.32/54.36 tff(f9599,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_328 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9561,f478,f9597,f541,f519])). 54.32/54.36 tff(f9605,plain,( 54.32/54.36 spl14_330 <=> ! [X93 : $int,X94 : map_int_int] : ($less(size,X93) | min($product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))),$product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size))))) = $product(n,tb2t2(get(int,int,t2tb(X94),t2tb2(size)))) | ~solution(X94,X93))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_330])])). 54.32/54.36 tff(f9607,plain,( 54.32/54.36 spl14_16 | spl14_136 | spl14_330 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9576,f478,f9605,f2958,f519])). 54.32/54.36 tff(f9608,plain,( 54.32/54.36 spl14_16 | spl14_140 | spl14_330 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9577,f478,f9605,f2965,f519])). 54.32/54.36 tff(f9609,plain,( 54.32/54.36 spl14_16 | spl14_142 | spl14_330 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9578,f478,f9605,f2969,f519])). 54.32/54.36 tff(f9610,plain,( 54.32/54.36 spl14_16 | spl14_144 | spl14_330 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9579,f478,f9605,f2973,f519])). 54.32/54.36 tff(f9698,plain,( 54.32/54.36 ( ! [X33:map_int_int,X34:map_int_int,X32:$int] : ($less(X32,0) | ~solution(X33,$product(n,X32)) | sum(X34,$product(n,tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32))))),$product(n,tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32)))))) = 0 | ~mem($product(n,X32),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2349,f359])). 54.32/54.36 tff(f9712,plain,( 54.32/54.36 spl14_332 <=> ! [X32 : $int,X34 : map_int_int,X33 : map_int_int] : ($less(X32,0) | ~mem($product(n,X32),below(n)) | sum(X34,$product(n,tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32))))),$product(n,tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32)))))) = 0 | ~solution(X33,$product(n,X32)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_332])])). 54.32/54.36 tff(f9714,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_332 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f9698,f478,f9712,f541,f519])). 54.32/54.36 tff(f9719,plain,( 54.32/54.36 mem(n,below($product(n,n))) | $less(n,0) | $less(size,$product(n,n)) | $less($product(n,n),0) | ~spl14_320), 54.32/54.36 inference(resolution,[],[f9473,f357])). 54.32/54.36 tff(f9721,plain,( 54.32/54.36 spl14_334 <=> mem(n,below($product(n,n)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_334])])). 54.32/54.36 tff(f9722,plain,( 54.32/54.36 mem(n,below($product(n,n))) | ~spl14_334), 54.32/54.36 inference(avatar_component_clause,[],[f9721])). 54.32/54.36 tff(f9723,plain,( 54.32/54.36 spl14_246 | spl14_248 | spl14_16 | spl14_334 | ~spl14_320), 54.32/54.36 inference(avatar_split_clause,[],[f9719,f9472,f9721,f519,f7793,f7790])). 54.32/54.36 tff(f9992,plain,( 54.32/54.36 mem(sK3(below($product(n,n))),below($product(n,n))) | $less(n,n) | mem(sK9(below($product(n,n))),below($product(n,n))) | (~spl14_18 | ~spl14_30 | ~spl14_334)), 54.32/54.36 inference(resolution,[],[f9722,f2205])). 54.32/54.36 tff(f9994,plain,( 54.32/54.36 ( ! [X2:$int] : ($less(n,n) | ~pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(below($product(n,n))))))) ) | ~spl14_334), 54.32/54.36 inference(resolution,[],[f9722,f379])). 54.32/54.36 tff(f9996,plain,( 54.32/54.36 cardinal(below($product(n,n))) = $sum(1,cardinal(remove(n,below($product(n,n))))) | ~spl14_334), 54.32/54.36 inference(resolution,[],[f9722,f345])). 54.32/54.36 tff(f9997,plain,( 54.32/54.36 cardinal(below($product(n,n))) != 0 | ~spl14_334), 54.32/54.36 inference(resolution,[],[f9722,f329])). 54.32/54.36 tff(f9999,plain,( 54.32/54.36 spl14_336 <=> mem(sK9(below($product(n,n))),below($product(n,n)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_336])])). 54.32/54.36 tff(f10002,plain,( 54.32/54.36 spl14_338 <=> mem(sK3(below($product(n,n))),below($product(n,n)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_338])])). 54.32/54.36 tff(f10004,plain,( 54.32/54.36 spl14_336 | spl14_10 | spl14_338 | ~spl14_18 | ~spl14_30 | ~spl14_334), 54.32/54.36 inference(avatar_split_clause,[],[f9992,f9721,f559,f522,f10002,f692,f9999])). 54.32/54.36 tff(f10006,plain,( 54.32/54.36 spl14_340 <=> ! [X2 : $int] : ~pre(tb2t3(tuple21(int,set2,t2tb2(X2),t2tb4(below($product(n,n))))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_340])])). 54.32/54.36 tff(f10008,plain,( 54.32/54.36 spl14_340 | spl14_10 | ~spl14_334), 54.32/54.36 inference(avatar_split_clause,[],[f9994,f9721,f692,f10006])). 54.32/54.36 tff(f10010,plain,( 54.32/54.36 spl14_342 <=> cardinal(below($product(n,n))) = $sum(1,cardinal(remove(n,below($product(n,n)))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_342])])). 54.32/54.36 tff(f10012,plain,( 54.32/54.36 spl14_342 | ~spl14_334), 54.32/54.36 inference(avatar_split_clause,[],[f9996,f9721,f10010])). 54.32/54.36 tff(f10014,plain,( 54.32/54.36 spl14_345 <=> cardinal(below($product(n,n))) != 0), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_345])])). 54.32/54.36 tff(f10015,plain,( 54.32/54.36 cardinal(below($product(n,n))) != 0 | ~spl14_345), 54.32/54.36 inference(avatar_component_clause,[],[f10014])). 54.32/54.36 tff(f10016,plain,( 54.32/54.36 ~spl14_345 | ~spl14_334), 54.32/54.36 inference(avatar_split_clause,[],[f9997,f9721,f10014])). 54.32/54.36 tff(f10094,plain,( 54.32/54.36 ( ! [X14:map_int_int] : (solution(X14,0) | max($product(n,sK6(X14,0)),$product(n,sK6(X14,0))) = $product(n,sK6(X14,0)) | $less(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),0) | ~mem(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2086,f359])). 54.32/54.36 tff(f10108,plain,( 54.32/54.36 spl14_346 <=> ! [X14 : map_int_int] : (solution(X14,0) | ~mem(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),below(n)) | $less(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),0) | max($product(n,sK6(X14,0)),$product(n,sK6(X14,0))) = $product(n,sK6(X14,0)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_346])])). 54.32/54.36 tff(f10110,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_346 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10094,f478,f10108,f541,f519])). 54.32/54.36 tff(f10122,plain,( 54.32/54.36 ( ! [X14:map_int_int] : (solution(X14,0) | min($product(n,sK6(X14,0)),$product(n,sK6(X14,0))) = $product(n,sK6(X14,0)) | $less(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),0) | ~mem(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2132,f359])). 54.32/54.36 tff(f10136,plain,( 54.32/54.36 spl14_348 <=> ! [X14 : map_int_int] : (solution(X14,0) | ~mem(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),below(n)) | $less(tb2t2(get(int,int,t2tb(X14),t2tb2(sK8(X14,0)))),0) | min($product(n,sK6(X14,0)),$product(n,sK6(X14,0))) = $product(n,sK6(X14,0)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_348])])). 54.32/54.36 tff(f10138,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_348 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10122,f478,f10136,f541,f519])). 54.32/54.36 tff(f10191,plain,( 54.32/54.36 ( ! [X47:$int,X45:map_int_int,X43:$int,X46:map_int_int,X44:$int,X42:map_int_int] : (sum(X42,$product(n,X43),X44) = $sum(sum(X42,$product(n,X43),$product(n,X43)),sum(X42,$product(n,X43),X44)) | sum(X45,X44,$product(n,X43)) = $sum(f(X45,X44),sum(X45,$sum(X44,1),$product(n,X43))) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X43))) | ~$less(0,n) | $less(X43,X47) | ~solution(X46,X47)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2513,f362])). 54.32/54.36 tff(f10230,plain,( 54.32/54.36 spl14_350 <=> ! [X42 : map_int_int,X44 : $int,X46 : map_int_int,X43 : $int,X45 : map_int_int,X47 : $int] : (sum(X42,$product(n,X43),X44) = $sum(sum(X42,$product(n,X43),$product(n,X43)),sum(X42,$product(n,X43),X44)) | ~solution(X46,X47) | $less(X43,X47) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X43))) | sum(X45,X44,$product(n,X43)) = $sum(f(X45,X44),sum(X45,$sum(X44,1),$product(n,X43))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_350])])). 54.32/54.36 tff(f10232,plain,( 54.32/54.36 ~spl14_71 | spl14_350 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10191,f478,f10230,f2011])). 54.32/54.36 tff(f10433,plain,( 54.32/54.36 ( ! [X33:map_int_int,X34:map_int_int,X32:$int] : ($less(X32,0) | ~$less($product(n,X32),n) | ~solution(X33,$product(n,X32)) | $less(tb2t2(get(int,int,t2tb(X34),get(int,int,t2tb(X33),t2tb2($product(n,X32))))),n) | ~solution(X34,0) | ~mem(tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32)))),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2380,f359])). 54.32/54.36 tff(f10448,plain,( 54.32/54.36 spl14_352 <=> ! [X32 : $int,X34 : map_int_int,X33 : map_int_int] : ($less(X32,0) | ~mem(tb2t2(get(int,int,t2tb(X33),t2tb2($product(n,X32)))),below(n)) | ~solution(X34,0) | $less(tb2t2(get(int,int,t2tb(X34),get(int,int,t2tb(X33),t2tb2($product(n,X32))))),n) | ~solution(X33,$product(n,X32)) | ~$less($product(n,X32),n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_352])])). 54.32/54.36 tff(f10450,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_352 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10433,f478,f10448,f541,f519])). 54.32/54.36 tff(f10733,plain,( 54.32/54.36 ( ! [X47:$int,X45:map_int_int,X43:$int,X46:map_int_int,X44:$int,X42:map_int_int] : (sum(X42,X43,$product(n,X44)) = $sum(sum(X42,X43,$product(n,X44)),sum(X42,$product(n,X44),$product(n,X44))) | sum(X45,$product(n,X44),X43) = $sum(sum(X45,$product(n,X44),$sum(X43,-1)),f(X45,$sum(X43,-1))) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X44))) | ~$less(0,n) | $less(X44,X47) | ~solution(X46,X47)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2541,f362])). 54.32/54.36 tff(f10774,plain,( 54.32/54.36 spl14_354 <=> ! [X42 : map_int_int,X44 : $int,X46 : map_int_int,X43 : $int,X45 : map_int_int,X47 : $int] : (sum(X42,X43,$product(n,X44)) = $sum(sum(X42,X43,$product(n,X44)),sum(X42,$product(n,X44),$product(n,X44))) | ~solution(X46,X47) | $less(X44,X47) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X44))) | sum(X45,$product(n,X44),X43) = $sum(sum(X45,$product(n,X44),$sum(X43,-1)),f(X45,$sum(X43,-1))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_354])])). 54.32/54.36 tff(f10776,plain,( 54.32/54.36 ~spl14_71 | spl14_354 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10733,f478,f10774,f2011])). 54.32/54.36 tff(f10795,plain,( 54.32/54.36 ( ! [X47:$int,X45:map_int_int,X43:$int,X46:map_int_int,X44:$int,X42:map_int_int] : (sum(X42,X43,$product(n,X44)) = $sum(sum(X42,X43,$product(n,X44)),sum(X42,$product(n,X44),$product(n,X44))) | sum(X45,$product(n,X44),X43) = $sum(f(X45,$product(n,X44)),sum(X45,$sum($product(n,X44),1),X43)) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X44))) | ~$less(0,n) | $less(X44,X47) | ~solution(X46,X47)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2542,f362])). 54.32/54.36 tff(f10836,plain,( 54.32/54.36 spl14_356 <=> ! [X42 : map_int_int,X44 : $int,X46 : map_int_int,X43 : $int,X45 : map_int_int,X47 : $int] : (sum(X42,X43,$product(n,X44)) = $sum(sum(X42,X43,$product(n,X44)),sum(X42,$product(n,X44),$product(n,X44))) | ~solution(X46,X47) | $less(X44,X47) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X44))) | sum(X45,$product(n,X44),X43) = $sum(f(X45,$product(n,X44)),sum(X45,$sum($product(n,X44),1),X43)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_356])])). 54.32/54.36 tff(f10838,plain,( 54.32/54.36 ~spl14_71 | spl14_356 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10795,f478,f10836,f2011])). 54.32/54.36 tff(f10851,plain,( 54.32/54.36 0 != 0 | mem(sK3(below($product(n,n))),below($product(n,n))) | ~spl14_345), 54.32/54.36 inference(superposition,[],[f10015,f328])). 54.32/54.36 tff(f10852,plain,( 54.32/54.36 mem(sK3(below($product(n,n))),below($product(n,n))) | ~spl14_345), 54.32/54.36 inference(trivial_inequality_removal,[],[f10851])). 54.32/54.36 tff(f10853,plain,( 54.32/54.36 spl14_338 | spl14_345), 54.32/54.36 inference(avatar_split_clause,[],[f10852,f10014,f10002])). 54.32/54.36 tff(f10999,plain,( 54.32/54.36 ( ! [X24:map_int_int,X23:$int] : ($less(X23,0) | ~solution(X24,$product(n,X23)) | cardinal(below(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))))) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | $less(size,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | ~mem($product(n,X23),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2346,f359])). 54.32/54.36 tff(f11013,plain,( 54.32/54.36 spl14_358 <=> ! [X23 : $int,X24 : map_int_int] : ($less(X23,0) | ~mem($product(n,X23),below(n)) | $less(size,tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23))))) | cardinal(below(tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))))) = tb2t2(get(int,int,t2tb(X24),t2tb2($product(n,X23)))) | ~solution(X24,$product(n,X23)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_358])])). 54.32/54.36 tff(f11015,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_358 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f10999,f478,f11013,f541,f519])). 54.32/54.36 tff(f11025,plain,( 54.32/54.36 ( ! [X43:map_int_int,X41:$int,X44:$int,X42:map_int_int] : ($less(X41,0) | ~solution(X42,$product(n,X41)) | sum(X43,X44,tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41))))) = $sum(sum(X43,X44,0),sum(X43,0,tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41)))))) | $less(0,X44) | ~mem($product(n,X41),below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2363,f359])). 54.32/54.36 tff(f11039,plain,( 54.32/54.36 spl14_360 <=> ! [X42 : map_int_int,X44 : $int,X41 : $int,X43 : map_int_int] : ($less(X41,0) | ~mem($product(n,X41),below(n)) | $less(0,X44) | sum(X43,X44,tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41))))) = $sum(sum(X43,X44,0),sum(X43,0,tb2t2(get(int,int,t2tb(X42),t2tb2($product(n,X41)))))) | ~solution(X42,$product(n,X41)))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_360])])). 54.32/54.36 tff(f11041,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_360 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11025,f478,f11039,f541,f519])). 54.32/54.36 tff(f11050,plain,( 54.32/54.36 ( ! [X47:$int,X45:map_int_int,X43:$int,X46:map_int_int,X44:$int,X42:map_int_int] : (sum(X42,$product(n,X43),X44) = $sum(sum(X42,$product(n,X43),$product(n,X43)),sum(X42,$product(n,X43),X44)) | sum(X45,X44,$product(n,X43)) = $sum(sum(X45,X44,$sum($product(n,X43),-1)),f(X45,$sum($product(n,X43),-1))) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X43))) | ~$less(0,n) | $less(X43,X47) | ~solution(X46,X47)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2512,f362])). 54.32/54.36 tff(f11091,plain,( 54.32/54.36 spl14_362 <=> ! [X42 : map_int_int,X44 : $int,X46 : map_int_int,X43 : $int,X45 : map_int_int,X47 : $int] : (sum(X42,$product(n,X43),X44) = $sum(sum(X42,$product(n,X43),$product(n,X43)),sum(X42,$product(n,X43),X44)) | ~solution(X46,X47) | $less(X43,X47) | tb2t2(get(int,int,t2tb(X46),t2tb2(0))) != tb2t2(get(int,int,t2tb(X46),t2tb2(X43))) | sum(X45,X44,$product(n,X43)) = $sum(sum(X45,X44,$sum($product(n,X43),-1)),f(X45,$sum($product(n,X43),-1))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_362])])). 54.32/54.36 tff(f11093,plain,( 54.32/54.36 ~spl14_71 | spl14_362 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11050,f478,f11091,f2011])). 54.32/54.36 tff(f11298,plain,( 54.32/54.36 ( ! [X30:$int,X28:map_int_int,X29:$int] : (sum(X28,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X29)),t2tb2(X30)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X29)),t2tb2(X30))))) = 0 | $less(X30,0) | ~$less(X29,n) | $less(X29,0) | ~mem(X30,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1992,f359])). 54.32/54.36 tff(f11313,plain,( 54.32/54.36 ( ! [X94:$int,X95:$int,X93:map_int_int] : (sum(X93,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X94)),t2tb2(size)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X94)),t2tb2(size))))) = 0 | $less(size,0) | ~$less(X94,n) | $less(X94,0) | mem(X95,below(n)) | ~$less(X95,n) | $less(X95,0) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1992,f357])). 54.32/54.36 tff(f11314,plain,( 54.32/54.36 ( ! [X97:$int,X98:$int,X96:map_int_int] : (sum(X96,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X97)),t2tb2(size)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X97)),t2tb2(size))))) = 0 | $less(size,0) | ~$less(X97,n) | $less(X97,0) | ~$less(X98,0) | ~mem(X98,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1992,f358])). 54.32/54.36 tff(f11315,plain,( 54.32/54.36 ( ! [X101:$int,X99:map_int_int,X100:$int] : (sum(X99,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X100)),t2tb2(size)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X100)),t2tb2(size))))) = 0 | $less(size,0) | ~$less(X100,n) | $less(X100,0) | $less(X101,n) | ~mem(X101,below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1992,f359])). 54.32/54.36 tff(f11316,plain,( 54.32/54.36 ( ! [X103:$int,X102:map_int_int] : (sum(X102,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X103)),t2tb2(size)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X103)),t2tb2(size))))) = 0 | $less(size,0) | ~$less(X103,n) | $less(X103,0) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f1992,f444])). 54.32/54.36 tff(f11337,plain,( 54.32/54.36 spl14_364 <=> ! [X29 : $int,X28 : map_int_int,X30 : $int] : (sum(X28,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X29)),t2tb2(X30)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X29)),t2tb2(X30))))) = 0 | ~mem(X30,below(n)) | $less(X29,0) | ~$less(X29,n) | $less(X30,0))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_364])])). 54.32/54.36 tff(f11339,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_364 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11298,f478,f11337,f541,f519])). 54.32/54.36 tff(f11345,plain,( 54.32/54.36 spl14_366 <=> ! [X93 : map_int_int,X94 : $int] : (sum(X93,$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X94)),t2tb2(size)))),$product(n,tb2t2(get(int,int,get(map(int,int),int,t2tb1(m),t2tb2(X94)),t2tb2(size))))) = 0 | $less(X94,0) | ~$less(X94,n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_366])])). 54.32/54.36 tff(f11347,plain,( 54.32/54.36 spl14_16 | spl14_136 | spl14_38 | spl14_366 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11313,f478,f11345,f631,f2958,f519])). 54.32/54.36 tff(f11348,plain,( 54.32/54.36 spl14_16 | spl14_140 | spl14_38 | spl14_366 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11314,f478,f11345,f631,f2965,f519])). 54.32/54.36 tff(f11349,plain,( 54.32/54.36 spl14_16 | spl14_142 | spl14_38 | spl14_366 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11315,f478,f11345,f631,f2969,f519])). 54.32/54.36 tff(f11350,plain,( 54.32/54.36 spl14_16 | spl14_144 | spl14_38 | spl14_366 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11316,f478,f11345,f631,f2973,f519])). 54.32/54.36 tff(f11453,plain,( 54.32/54.36 ( ! [X54:$int,X52:map_int_int,X50:map_int_int,X56:$int,X55:map_int_int,X53:map_int_int,X51:$int] : (sum(X50,$product(n,X51),sK10(X52,X53,$product(n,X51),X54)) = $sum(sum(X50,$product(n,X51),$product(n,X51)),sum(X50,$product(n,X51),sK10(X52,X53,$product(n,X51),X54))) | sum(X52,$product(n,X51),X54) = sum(X53,$product(n,X51),X54) | tb2t2(get(int,int,t2tb(X55),t2tb2(0))) != tb2t2(get(int,int,t2tb(X55),t2tb2(X51))) | ~$less(0,n) | $less(X51,X56) | ~solution(X55,X56)) ) | ~spl14_11), 54.32/54.36 inference(resolution,[],[f2529,f362])). 54.32/54.36 tff(f11494,plain,( 54.32/54.36 spl14_368 <=> ! [X51 : $int,X53 : map_int_int,X55 : map_int_int,X56 : $int,X50 : map_int_int,X52 : map_int_int,X54 : $int] : (sum(X50,$product(n,X51),sK10(X52,X53,$product(n,X51),X54)) = $sum(sum(X50,$product(n,X51),$product(n,X51)),sum(X50,$product(n,X51),sK10(X52,X53,$product(n,X51),X54))) | ~solution(X55,X56) | $less(X51,X56) | tb2t2(get(int,int,t2tb(X55),t2tb2(0))) != tb2t2(get(int,int,t2tb(X55),t2tb2(X51))) | sum(X52,$product(n,X51),X54) = sum(X53,$product(n,X51),X54))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_368])])). 54.32/54.36 tff(f11496,plain,( 54.32/54.36 ~spl14_71 | spl14_368 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f11453,f478,f11494,f2011])). 54.32/54.36 tff(f11547,plain,( 54.32/54.36 ( ! [X30:$int,X28:$int,X29:map_int_int] : ($less(size,X28) | $less(tb2t2(get(int,int,t2tb(sK13(X28,sK1,sum(X29,X28,n))),t2tb2(X30))),n) | mem(tb2t2(get(int,int,t2tb(X29),t2tb2(size))),sK1) | ~solution(X29,X28) | $less(sum(X29,X28,n),0) | $less(X30,X28) | $less(sK12(X28,sK1,X29),n) | ~mem(X30,below(n)) | $less(size,n) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(resolution,[],[f2962,f359])). 54.32/54.36 tff(f11562,plain,( 54.32/54.36 ( ! [X94:map_int_int,X95:$int,X93:$int] : ($less(size,X93) | $less(tb2t2(get(int,int,t2tb(sK13(X93,sK1,sum(X94,X93,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X94),t2tb2(size))),sK1) | ~solution(X94,X93) | $less(sum(X94,X93,n),0) | $less(size,X93) | $less(sK12(X93,sK1,X94),n) | mem(X95,below(n)) | ~$less(X95,n) | $less(X95,0) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(resolution,[],[f2962,f357])). 54.32/54.36 tff(f11563,plain,( 54.32/54.36 ( ! [X97:map_int_int,X98:$int,X96:$int] : ($less(size,X96) | $less(tb2t2(get(int,int,t2tb(sK13(X96,sK1,sum(X97,X96,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X97),t2tb2(size))),sK1) | ~solution(X97,X96) | $less(sum(X97,X96,n),0) | $less(size,X96) | $less(sK12(X96,sK1,X97),n) | ~$less(X98,0) | ~mem(X98,below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(resolution,[],[f2962,f358])). 54.32/54.36 tff(f11564,plain,( 54.32/54.36 ( ! [X101:$int,X99:$int,X100:map_int_int] : ($less(size,X99) | $less(tb2t2(get(int,int,t2tb(sK13(X99,sK1,sum(X100,X99,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X100),t2tb2(size))),sK1) | ~solution(X100,X99) | $less(sum(X100,X99,n),0) | $less(size,X99) | $less(sK12(X99,sK1,X100),n) | $less(X101,n) | ~mem(X101,below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(resolution,[],[f2962,f359])). 54.32/54.36 tff(f11565,plain,( 54.32/54.36 ( ! [X103:map_int_int,X102:$int] : ($less(size,X102) | $less(tb2t2(get(int,int,t2tb(sK13(X102,sK1,sum(X103,X102,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X103),t2tb2(size))),sK1) | ~solution(X103,X102) | $less(sum(X103,X102,n),0) | $less(size,X102) | $less(sK12(X102,sK1,X103),n) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(resolution,[],[f2962,f444])). 54.32/54.36 tff(f11583,plain,( 54.32/54.36 ( ! [X103:map_int_int,X102:$int] : ($less(size,X102) | $less(tb2t2(get(int,int,t2tb(sK13(X102,sK1,sum(X103,X102,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X103),t2tb2(size))),sK1) | ~solution(X103,X102) | $less(sum(X103,X102,n),0) | $less(sK12(X102,sK1,X103),n) | n = cardinal(below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(duplicate_literal_removal,[],[f11565])). 54.32/54.36 tff(f11584,plain,( 54.32/54.36 ( ! [X101:$int,X99:$int,X100:map_int_int] : ($less(size,X99) | $less(tb2t2(get(int,int,t2tb(sK13(X99,sK1,sum(X100,X99,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X100),t2tb2(size))),sK1) | ~solution(X100,X99) | $less(sum(X100,X99,n),0) | $less(sK12(X99,sK1,X100),n) | $less(X101,n) | ~mem(X101,below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(duplicate_literal_removal,[],[f11564])). 54.32/54.36 tff(f11585,plain,( 54.32/54.36 ( ! [X97:map_int_int,X98:$int,X96:$int] : ($less(size,X96) | $less(tb2t2(get(int,int,t2tb(sK13(X96,sK1,sum(X97,X96,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X97),t2tb2(size))),sK1) | ~solution(X97,X96) | $less(sum(X97,X96,n),0) | $less(sK12(X96,sK1,X97),n) | ~$less(X98,0) | ~mem(X98,below(n)) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(duplicate_literal_removal,[],[f11563])). 54.32/54.36 tff(f11586,plain,( 54.32/54.36 ( ! [X94:map_int_int,X95:$int,X93:$int] : ($less(size,X93) | $less(tb2t2(get(int,int,t2tb(sK13(X93,sK1,sum(X94,X93,n))),t2tb2(size))),n) | mem(tb2t2(get(int,int,t2tb(X94),t2tb2(size))),sK1) | ~solution(X94,X93) | $less(sum(X94,X93,n),0) | $less(sK12(X93,sK1,X94),n) | mem(X95,below(n)) | ~$less(X95,n) | $less(X95,0) | $less(n,0)) ) | ~spl14_138), 54.32/54.36 inference(duplicate_literal_removal,[],[f11562])). 54.32/54.36 tff(f11588,plain,( 54.32/54.36 spl14_370 <=> ! [X29 : map_int_int,X28 : $int,X30 : $int] : ($less(size,X28) | ~mem(X30,below(n)) | $less(sK12(X28,sK1,X29),n) | $less(X30,X28) | $less(sum(X29,X28,n),0) | ~solution(X29,X28) | mem(tb2t2(get(int,int,t2tb(X29),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X28,sK1,sum(X29,X28,n))),t2tb2(X30))),n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_370])])). 54.32/54.36 tff(f11590,plain,( 54.32/54.36 spl14_16 | spl14_26 | spl14_370 | ~spl14_138), 54.32/54.36 inference(avatar_split_clause,[],[f11547,f2961,f11588,f541,f519])). 54.32/54.36 tff(f11596,plain,( 54.32/54.36 spl14_372 <=> ! [X93 : $int,X94 : map_int_int] : ($less(size,X93) | $less(sK12(X93,sK1,X94),n) | $less(sum(X94,X93,n),0) | ~solution(X94,X93) | mem(tb2t2(get(int,int,t2tb(X94),t2tb2(size))),sK1) | $less(tb2t2(get(int,int,t2tb(sK13(X93,sK1,sum(X94,X93,n))),t2tb2(size))),n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_372])])). 54.32/54.36 tff(f11598,plain,( 54.32/54.36 spl14_16 | spl14_136 | spl14_372 | ~spl14_138), 54.32/54.36 inference(avatar_split_clause,[],[f11586,f2961,f11596,f2958,f519])). 54.32/54.36 tff(f11599,plain,( 54.32/54.36 spl14_16 | spl14_140 | spl14_372 | ~spl14_138), 54.32/54.36 inference(avatar_split_clause,[],[f11585,f2961,f11596,f2965,f519])). 54.32/54.36 tff(f11600,plain,( 54.32/54.36 spl14_16 | spl14_142 | spl14_372 | ~spl14_138), 54.32/54.36 inference(avatar_split_clause,[],[f11584,f2961,f11596,f2969,f519])). 54.32/54.36 tff(f11601,plain,( 54.32/54.36 spl14_16 | spl14_144 | spl14_372 | ~spl14_138), 54.32/54.36 inference(avatar_split_clause,[],[f11583,f2961,f11596,f2973,f519])). 54.32/54.36 tff(f12007,plain,( 54.32/54.36 ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n) | $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f363])). 54.32/54.36 tff(f12008,plain,( 54.32/54.36 ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n) | ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f364])). 54.32/54.36 tff(f12009,plain,( 54.32/54.36 ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n) | ~$less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f365])). 54.32/54.36 tff(f12010,plain,( 54.32/54.36 $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n) | $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f366])). 54.32/54.36 tff(f12011,plain,( 54.32/54.36 $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n) | ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f367])). 54.32/54.36 tff(f12012,plain,( 54.32/54.36 $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n) | ~$less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f368])). 54.32/54.36 tff(f12013,plain,( 54.32/54.36 $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n)) | $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f369])). 54.32/54.36 tff(f12014,plain,( 54.32/54.36 $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n)) | ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f370])). 54.32/54.36 tff(f12015,plain,( 54.32/54.36 $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n)) | ~$less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f371])). 54.32/54.36 tff(f12016,plain,( 54.32/54.36 tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f372])). 54.32/54.36 tff(f12017,plain,( 54.32/54.36 tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f373])). 54.32/54.36 tff(f12018,plain,( 54.32/54.36 tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | ~$less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(resolution,[],[f7316,f374])). 54.32/54.36 tff(f12021,plain,( 54.32/54.36 spl14_374 <=> $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_374])])). 54.32/54.36 tff(f12024,plain,( 54.32/54.36 spl14_377 <=> ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_377])])). 54.32/54.36 tff(f12026,plain,( 54.32/54.36 spl14_374 | ~spl14_377 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12007,f7315,f12024,f12021])). 54.32/54.36 tff(f12028,plain,( 54.32/54.36 spl14_375 <=> ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_375])])). 54.32/54.36 tff(f12030,plain,( 54.32/54.36 ~spl14_375 | ~spl14_377 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12008,f7315,f12024,f12028])). 54.32/54.36 tff(f12031,plain,( 54.32/54.36 ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12009,f298])). 54.32/54.36 tff(f12032,plain,( 54.32/54.36 $less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | ~$less(sK6(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12031,f298])). 54.32/54.36 tff(f12034,plain,( 54.32/54.36 spl14_379 <=> ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_379])])). 54.32/54.36 tff(f12037,plain,( 54.32/54.36 spl14_380 <=> $less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_380])])). 54.32/54.36 tff(f12039,plain,( 54.32/54.36 ~spl14_377 | ~spl14_379 | spl14_380 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12032,f7315,f12037,f12034,f12024])). 54.32/54.36 tff(f12041,plain,( 54.32/54.36 spl14_382 <=> $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_382])])). 54.32/54.36 tff(f12043,plain,( 54.32/54.36 spl14_374 | spl14_382 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12010,f7315,f12041,f12021])). 54.32/54.36 tff(f12044,plain,( 54.32/54.36 ~spl14_375 | spl14_382 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12011,f7315,f12041,f12028])). 54.32/54.36 tff(f12045,plain,( 54.32/54.36 ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12012,f298])). 54.32/54.36 tff(f12046,plain,( 54.32/54.36 $less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(sK7(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12045,f298])). 54.32/54.36 tff(f12047,plain,( 54.32/54.36 spl14_382 | ~spl14_379 | spl14_380 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12046,f7315,f12037,f12034,f12041])). 54.32/54.36 tff(f12049,plain,( 54.32/54.36 spl14_384 <=> $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_384])])). 54.32/54.36 tff(f12051,plain,( 54.32/54.36 spl14_374 | spl14_384 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12013,f7315,f12049,f12021])). 54.32/54.36 tff(f12052,plain,( 54.32/54.36 ~spl14_375 | spl14_384 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12014,f7315,f12049,f12028])). 54.32/54.36 tff(f12053,plain,( 54.32/54.36 ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n)) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12015,f298])). 54.32/54.36 tff(f12054,plain,( 54.32/54.36 $less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(sK6(tb2t(const(int,int,t2tb2(0))),n),sK7(tb2t(const(int,int,t2tb2(0))),n)) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12053,f298])). 54.32/54.36 tff(f12055,plain,( 54.32/54.36 spl14_384 | ~spl14_379 | spl14_380 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12054,f7315,f12037,f12034,f12049])). 54.32/54.36 tff(f12056,plain,( 54.32/54.36 tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | $less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12016,f298])). 54.32/54.36 tff(f12058,plain,( 54.32/54.36 spl14_386 <=> tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n))))), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_386])])). 54.32/54.36 tff(f12060,plain,( 54.32/54.36 spl14_374 | spl14_386 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12056,f7315,f12058,f12021])). 54.32/54.36 tff(f12061,plain,( 54.32/54.36 tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | ~$less(sK8(tb2t(const(int,int,t2tb2(0))),n),n) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12017,f298])). 54.32/54.36 tff(f12062,plain,( 54.32/54.36 ~spl14_375 | spl14_386 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12061,f7315,f12058,f12028])). 54.32/54.36 tff(f12063,plain,( 54.32/54.36 tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | ~$less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12018,f298])). 54.32/54.36 tff(f12064,plain,( 54.32/54.36 ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | $less(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12063,f298])). 54.32/54.36 tff(f12065,plain,( 54.32/54.36 $less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),0) | ~$less(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK8(tb2t(const(int,int,t2tb2(0))),n)))),n) | tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK6(tb2t(const(int,int,t2tb2(0))),n)))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK7(tb2t(const(int,int,t2tb2(0))),n)))) | ~spl14_239), 54.32/54.36 inference(forward_demodulation,[],[f12064,f298])). 54.32/54.36 tff(f12066,plain,( 54.32/54.36 spl14_386 | ~spl14_379 | spl14_380 | spl14_239), 54.32/54.36 inference(avatar_split_clause,[],[f12065,f7315,f12037,f12034,f12058])). 54.32/54.36 tff(f12069,plain,( 54.32/54.36 spl14_241 <=> ~$less(sK12(n,sK1,tb2t(const(int,int,t2tb2(0)))),n)), 54.32/54.36 introduced(avatar_definition,[new_symbols(naming,[spl14_241])])). 54.32/54.36 tff(f12071,plain,( 54.32/54.36 ~spl14_239 | ~spl14_241 | spl14_9 | spl14_11), 54.32/54.36 inference(avatar_split_clause,[],[f7335,f478,f467,f12069,f7315])). 54.32/54.36 tff(f12072,plain,( 54.32/54.36 $false), 54.32/54.36 inference(avatar_sat_refutation,[],[f452,f456,f460,f464,f469,f480,f485,f490,f524,f529,f533,f537,f538,f539,f546,f564,f571,f636,f643,f647,f654,f658,f662,f689,f697,f702,f721,f751,f755,f759,f763,f2016,f2040,f2044,f2048,f2052,f2056,f2060,f2064,f2101,f2105,f2109,f2147,f2148,f2298,f2335,f2378,f2420,f2429,f2448,f2455,f2472,f2733,f2734,f2735,f2742,f2756,f2759,f2761,f2763,f2774,f2777,f2790,f2813,f2822,f2835,f2837,f2952,f2963,f2967,f2971,f2975,f4161,f4165,f4168,f4169,f4174,f4176,f4183,f4206,f4210,f4214,f4218,f4222,f4226,f4230,f4232,f4233,f4236,f4237,f4283,f4290,f4294,f4301,f4305,f4306,f4307,f4313,f4315,f4316,f4318,f4319,f4322,f4323,f4399,f4407,f4408,f4460,f4504,f4508,f4536,f4537,f4578,f4582,f4586,f4593,f4597,f4601,f4605,f4609,f4613,f4617,f4621,f4625,f4629,f4633,f4739,f4767,f4768,f4790,f4791,f4802,f4833,f4834,f4837,f4979,f4983,f5381,f5385,f5468,f5472,f6747,f7013,f7038,f7082,f7133,f7320,f7420,f7768,f7798,f7805,f7809,f7817,f7821,f7825,f7829,f7948,f7963,f8061,f8065,f8169,f8177,f8178,f8179,f8180,f8275,f8312,f8316,f8320,f8324,f8328,f8332,f8336,f8385,f8444,f8503,f8660,f8779,f8789,f8833,f8834,f8960,f8986,f9239,f9275,f9462,f9477,f9478,f9525,f9533,f9534,f9535,f9536,f9599,f9607,f9608,f9609,f9610,f9714,f9723,f10004,f10008,f10012,f10016,f10110,f10138,f10232,f10450,f10776,f10838,f10853,f11015,f11041,f11093,f11339,f11347,f11348,f11349,f11350,f11496,f11590,f11598,f11599,f11600,f11601,f12026,f12030,f12039,f12043,f12044,f12047,f12051,f12052,f12055,f12060,f12062,f12066,f12071])). 54.32/54.36 % SZS output end Proof for theBenchmark 54.32/54.36 % ------------------------------ 54.32/54.36 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 54.32/54.36 % Termination reason: Refutation 54.32/54.36 54.32/54.36 % Memory used [KB]: 18166 54.32/54.36 % Time elapsed: 0.909 s 54.32/54.36 % ------------------------------ 54.32/54.36 % ------------------------------ 54.32/54.36 % Success in time 54.101 s 54.32/54.36 EOF