0.13/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : vampire --mode casc -t %d %s 0.14/0.35 % Computer : n010.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 13:02:21 EDT 2019 0.14/0.35 % CPUTime : 0.14/0.42 % 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 0.72/0.92 % Time limit reached! 0.72/0.92 % ------------------------------ 0.72/0.92 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.72/0.92 % Termination reason: Time limit 0.72/0.92 % Termination phase: Saturation 0.72/0.92 0.72/0.92 % Memory used [KB]: 9083 0.72/0.92 % Time elapsed: 0.500 s 0.72/0.92 % ------------------------------ 0.72/0.92 % ------------------------------ 0.75/0.94 % 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 2.36/2.54 % Time limit reached! 2.36/2.54 % ------------------------------ 2.36/2.54 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.36/2.54 % Termination reason: Time limit 2.36/2.54 % Termination phase: Saturation 2.36/2.54 2.36/2.54 % Memory used [KB]: 32622 2.36/2.54 % Time elapsed: 1.600 s 2.36/2.54 % ------------------------------ 2.36/2.54 % ------------------------------ 2.36/2.60 % dis-10_4:1_aac=none:add=off:afp=1000:afq=1.4:amm=off:anc=none:cond=fast:ep=RSTC:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:nwc=4:sas=z3:tha=off:thi=strong:uwa=interpreted_only:updr=off:uhcvi=on_6 on theBenchmark 3.46/3.60 % Time limit reached! 3.46/3.60 % ------------------------------ 3.46/3.60 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.46/3.60 % Termination reason: Time limit 3.46/3.60 % Termination phase: Saturation 3.46/3.60 3.46/3.60 % Memory used [KB]: 8827 3.46/3.60 % Time elapsed: 1.0000 s 3.46/3.60 % ------------------------------ 3.46/3.60 % ------------------------------ 3.46/3.63 % 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 13.45/13.43 % Time limit reached! 13.45/13.43 % ------------------------------ 13.45/13.43 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.45/13.43 % Termination reason: Time limit 13.45/13.43 % Termination phase: Saturation 13.45/13.43 13.45/13.43 % Memory used [KB]: 127162 13.45/13.43 % Time elapsed: 9.800 s 13.45/13.43 % ------------------------------ 13.45/13.43 % ------------------------------ 13.45/13.47 % 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 15.10/15.06 % Time limit reached! 15.10/15.06 % ------------------------------ 15.10/15.06 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 15.10/15.06 % Termination reason: Time limit 15.10/15.06 % Termination phase: Saturation 15.10/15.06 15.10/15.06 % Memory used [KB]: 63197 15.10/15.06 % Time elapsed: 1.600 s 15.10/15.06 % ------------------------------ 15.10/15.06 % ------------------------------ 15.12/15.09 % 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 16.45/16.39 % Time limit reached! 16.45/16.39 % ------------------------------ 16.45/16.39 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.45/16.39 % Termination reason: Time limit 16.45/16.39 % Termination phase: Saturation 16.45/16.39 16.45/16.39 % Memory used [KB]: 49125 16.45/16.39 % Time elapsed: 1.300 s 16.45/16.39 % ------------------------------ 16.45/16.39 % ------------------------------ 16.48/16.42 % 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 17.77/17.72 % Time limit reached! 17.77/17.72 % ------------------------------ 17.77/17.72 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.77/17.72 % Termination reason: Time limit 17.77/17.72 % Termination phase: Saturation 17.77/17.72 17.77/17.72 % Memory used [KB]: 35564 17.77/17.72 % Time elapsed: 1.300 s 17.77/17.72 % ------------------------------ 17.77/17.72 % ------------------------------ 17.77/17.75 % 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 20.24/20.15 % Time limit reached! 20.24/20.15 % ------------------------------ 20.24/20.15 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 20.24/20.15 % Termination reason: Time limit 20.24/20.15 % Termination phase: Saturation 20.24/20.15 20.24/20.15 % Memory used [KB]: 36459 20.24/20.15 % Time elapsed: 2.400 s 20.24/20.15 % ------------------------------ 20.24/20.15 % ------------------------------ 20.24/20.18 % 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 21.30/21.18 % Time limit reached! 21.30/21.18 % ------------------------------ 21.30/21.18 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 21.30/21.18 % Termination reason: Time limit 21.30/21.18 % Termination phase: Saturation 21.30/21.18 21.30/21.18 % Memory used [KB]: 12281 21.30/21.18 % Time elapsed: 1.0000 s 21.30/21.18 % ------------------------------ 21.30/21.18 % ------------------------------ 21.30/21.20 % 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 26.00/25.80 % Time limit reached! 26.00/25.80 % ------------------------------ 26.00/25.80 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.00/25.80 % Termination reason: Time limit 26.00/25.80 % Termination phase: Saturation 26.00/25.80 26.00/25.80 % Memory used [KB]: 132791 26.00/25.80 % Time elapsed: 4.600 s 26.00/25.80 % ------------------------------ 26.00/25.80 % ------------------------------ 26.00/25.84 % 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 26.62/26.43 % Time limit reached! 26.62/26.43 % ------------------------------ 26.62/26.43 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 26.62/26.43 % Termination reason: Time limit 26.62/26.43 % Termination phase: Saturation 26.62/26.43 26.62/26.43 % Memory used [KB]: 44775 26.62/26.43 % Time elapsed: 0.600 s 26.62/26.43 % ------------------------------ 26.62/26.43 % ------------------------------ 26.62/26.46 % 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 27.24/27.06 % Time limit reached! 27.24/27.06 % ------------------------------ 27.24/27.06 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 27.24/27.06 % Termination reason: Time limit 27.24/27.06 % Termination phase: Saturation 27.24/27.06 27.24/27.06 % Memory used [KB]: 19957 27.24/27.06 % Time elapsed: 0.600 s 27.24/27.06 % ------------------------------ 27.24/27.06 % ------------------------------ 27.24/27.09 % 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 27.79/27.59 % Time limit reached! 27.79/27.59 % ------------------------------ 27.79/27.59 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 27.79/27.59 % Termination reason: Time limit 27.79/27.59 % Termination phase: Saturation 27.79/27.59 27.79/27.59 % Memory used [KB]: 33901 27.79/27.59 % Time elapsed: 0.500 s 27.79/27.59 % ------------------------------ 27.79/27.59 % ------------------------------ 27.79/27.62 % 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 51.55/51.00 % Time limit reached! 51.55/51.00 % ------------------------------ 51.55/51.00 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 51.55/51.00 % Termination reason: Time limit 51.55/51.00 % Termination phase: Saturation 51.55/51.00 51.55/51.00 % Memory used [KB]: 618667 51.55/51.00 % Time elapsed: 23.400 s 51.55/51.00 % ------------------------------ 51.55/51.00 % ------------------------------ 51.57/51.05 % 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 54.04/53.44 % Time limit reached! 54.04/53.44 % ------------------------------ 54.04/53.44 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 54.04/53.44 % Termination reason: Time limit 54.04/53.44 % Termination phase: Saturation 54.04/53.44 54.04/53.44 % Memory used [KB]: 8443 54.04/53.44 % Time elapsed: 2.400 s 54.04/53.44 % ------------------------------ 54.04/53.44 % ------------------------------ 54.04/53.47 % 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 63.15/62.47 % Time limit reached! 63.15/62.47 % ------------------------------ 63.15/62.47 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 63.15/62.47 % Termination reason: Time limit 63.15/62.47 % Termination phase: Saturation 63.15/62.47 63.15/62.47 % Memory used [KB]: 53858 63.15/62.47 % Time elapsed: 9.0000 s 63.15/62.47 % ------------------------------ 63.15/62.47 % ------------------------------ 63.22/62.54 % dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 66.79/66.01 % Time limit reached! 66.79/66.01 % ------------------------------ 66.79/66.01 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 66.79/66.01 % Termination reason: Time limit 66.79/66.01 % Termination phase: Saturation 66.79/66.01 66.79/66.01 % Memory used [KB]: 14583 66.79/66.01 % Time elapsed: 3.500 s 66.79/66.01 % ------------------------------ 66.79/66.01 % ------------------------------ 66.79/66.07 % dis-2_2:3_add=large:afp=40000:afq=1.4:amm=off:anc=none:gsp=input_only:gs=on:gsem=on:inw=on:lcm=reverse:lma=on:nm=2:nwc=1:nicw=on:sas=z3:sos=all:sp=reverse_arity:tha=off:urr=on_5 on theBenchmark 67.71/66.97 % Time limit reached! 67.71/66.97 % ------------------------------ 67.71/66.97 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 67.71/66.97 % Termination reason: Time limit 67.71/66.97 % Termination phase: Saturation 67.71/66.97 67.71/66.97 % Memory used [KB]: 10618 67.71/66.97 % Time elapsed: 0.900 s 67.71/66.97 % ------------------------------ 67.71/66.97 % ------------------------------ 67.71/67.00 % ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark 71.68/70.90 % Time limit reached! 71.68/70.90 % ------------------------------ 71.68/70.90 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 71.68/70.90 % Termination reason: Time limit 71.68/70.90 % Termination phase: Saturation 71.68/70.90 71.68/70.90 % Memory used [KB]: 88143 71.68/70.90 % Time elapsed: 3.900 s 71.68/70.90 % ------------------------------ 71.68/70.90 % ------------------------------ 71.77/70.93 % dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 72.37/71.53 % Refutation found. Thanks to Tanya! 72.37/71.53 % SZS status Theorem for theBenchmark 72.37/71.53 % SZS output start Proof for theBenchmark 72.37/71.53 tff(type_def_5, type, uni: $tType). 72.37/71.53 tff(type_def_6, type, ty: $tType). 72.37/71.53 tff(type_def_7, type, bool: $tType). 72.37/71.53 tff(type_def_8, type, tuple0: $tType). 72.37/71.53 tff(type_def_9, type, a: $tType). 72.37/71.53 tff(type_def_10, type, option_a1: $tType). 72.37/71.53 tff(type_def_11, type, list_a1: $tType). 72.37/71.53 tff(func_def_0, type, witness: ty > uni). 72.37/71.53 tff(func_def_1, type, int: ty). 72.37/71.53 tff(func_def_2, type, real: ty). 72.37/71.53 tff(func_def_3, type, bool1: ty). 72.37/71.53 tff(func_def_4, type, true: bool). 72.37/71.53 tff(func_def_5, type, false: bool). 72.37/71.53 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 72.37/71.53 tff(func_def_7, type, tuple01: ty). 72.37/71.53 tff(func_def_8, type, tuple02: tuple0). 72.37/71.53 tff(func_def_9, type, qtmark: ty). 72.37/71.53 tff(func_def_10, type, list: ty > ty). 72.37/71.53 tff(func_def_11, type, nil: ty > uni). 72.37/71.53 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 72.37/71.53 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 72.37/71.53 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 72.37/71.53 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 72.37/71.53 tff(func_def_16, type, length: (ty * uni) > $int). 72.37/71.53 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 72.37/71.53 tff(func_def_18, type, option: ty > ty). 72.37/71.53 tff(func_def_19, type, none: ty > uni). 72.37/71.53 tff(func_def_20, type, some: (ty * uni) > uni). 72.37/71.53 tff(func_def_21, type, match_option: (ty * ty * uni * uni * uni) > uni). 72.37/71.53 tff(func_def_22, type, some_proj_1: (ty * uni) > uni). 72.37/71.53 tff(func_def_23, type, nth: (ty * $int * uni) > uni). 72.37/71.53 tff(func_def_24, type, a1: ty). 72.37/71.53 tff(func_def_25, type, t2tb: a > uni). 72.37/71.53 tff(func_def_26, type, tb2t: uni > a). 72.37/71.53 tff(func_def_27, type, t2tb4: option_a1 > uni). 72.37/71.53 tff(func_def_28, type, tb2t4: uni > option_a1). 72.37/71.53 tff(func_def_29, type, t2tb3: list_a1 > uni). 72.37/71.53 tff(func_def_30, type, tb2t3: uni > list_a1). 72.37/71.53 tff(func_def_37, type, sK0: list_a1). 72.37/71.53 tff(func_def_38, type, sK1: list_a1). 72.37/71.53 tff(func_def_39, type, sK2: a). 72.37/71.53 tff(func_def_40, type, sK3: list_a1). 72.37/71.53 tff(func_def_41, type, sK4: a). 72.37/71.53 tff(func_def_42, type, sK5: list_a1). 72.37/71.53 tff(func_def_43, type, sK6: a). 72.37/71.53 tff(func_def_44, type, sK7: list_a1). 72.37/71.53 tff(func_def_45, type, sK8: list_a1). 72.37/71.53 tff(func_def_46, type, sK9: a). 72.37/71.53 tff(func_def_47, type, sK10: list_a1). 72.37/71.53 tff(func_def_48, type, sK11: list_a1). 72.37/71.53 tff(func_def_49, type, sK12: (ty * uni * uni) > uni). 72.37/71.53 tff(func_def_50, type, sK13: (ty * uni * uni) > uni). 72.37/71.53 tff(pred_def_1, type, sort: (ty * uni) > $o). 72.37/71.53 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 72.37/71.53 tff(pred_def_3, type, pal: (ty * uni * $int) > $o). 72.37/71.53 tff(f1,axiom,( 72.37/71.53 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : sort(X1,match_list(X1,X0,X2,X3,X4))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_list_sort1)). 72.37/71.53 tff(f2,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni] : sort(X0,cons_proj_1(X0,X2))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_1_sort1)). 72.37/71.53 tff(f3,axiom,( 72.37/71.53 ! [X2 : a] : sort(a1,t2tb(X2))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort4)). 72.37/71.53 tff(f7,axiom,( 72.37/71.53 ! [X0 : ty,X10 : uni] : (cons(X0,cons_proj_1(X0,X10),cons_proj_2(X0,X10)) = X10 | nil(X0) = X10)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_inversion)). 72.37/71.53 tff(f8,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni,X12 : uni] : (mem(X0,X2,X12) => ? [X5 : uni,X6 : uni] : (sort(list(X0),X5) & sort(list(X0),X6) & infix_plpl(X0,X5,cons(X0,X2,X6)) = X12))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_decomp)). 72.37/71.53 tff(f10,axiom,( 72.37/71.53 ! [X13 : uni] : (sort(a1,X13) => t2tb(tb2t(X13)) = X13)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)). 72.37/71.53 tff(f11,axiom,( 72.37/71.53 ! [X13 : uni] : (sort(option(a1),X13) => t2tb4(tb2t4(X13)) = X13)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR4)). 72.37/71.53 tff(f12,axiom,( 72.37/71.53 ! [X0 : ty,X5 : uni,X6 : uni,X14 : uni] : infix_plpl(X0,X5,infix_plpl(X0,X6,X14)) = infix_plpl(X0,infix_plpl(X0,X5,X6),X14)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_assoc)). 72.37/71.53 tff(f13,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni,X15 : $int] : (! [X7 : $int] : (($less(X7,X15) & $lesseq(0,X7)) => nth(X0,X7,X2) = nth(X0,$difference($difference(X15,1),X7),X2)) <=> pal(X0,X2,X15))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',pal_def)). 72.37/71.53 tff(f14,axiom,( 72.37/71.53 ! [X0 : ty,X2 : $int,X3 : uni] : sort(option(X0),nth(X0,X2,X3))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_sort)). 72.37/71.53 tff(f15,axiom,( 72.37/71.53 ! [X0 : ty] : sort(X0,witness(X0))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',witness_sort)). 72.37/71.53 tff(f16,axiom,( 72.37/71.53 ! [X0 : ty] : sort(option(X0),none(X0))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',none_sort)). 72.37/71.53 tff(f17,axiom,( 72.37/71.53 ! [X0 : ty,X10 : uni,X11 : uni] : (sort(X0,X10) => cons_proj_1(X0,cons(X0,X10,X11)) = X10)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_1_def)). 72.37/71.53 tff(f18,axiom,( 72.37/71.53 ! [X0 : ty,X5 : uni,X6 : uni] : length(X0,infix_plpl(X0,X5,X6)) = $sum(length(X0,X5),length(X0,X6))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_length)). 72.37/71.53 tff(f19,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni,X3 : uni] : sort(list(X0),infix_plpl(X0,X2,X3))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_plpl_sort1)). 72.37/71.53 tff(f20,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni] : sort(X0,some_proj_1(X0,X2))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_proj_1_sort)). 72.37/71.53 tff(f21,axiom,( 72.37/71.53 ! [X0 : ty,X6 : uni] : (! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X6)) = infix_plpl(X0,cons(X0,X2,X3),X6) & infix_plpl(X0,nil(X0),X6) = X6)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_plpl_def)). 72.37/71.53 tff(f22,axiom,( 72.37/71.53 ! [X2 : option_a1] : sort(option(a1),t2tb4(X2))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort5)). 72.37/71.53 tff(f23,axiom,( 72.37/71.53 ! [X13 : uni] : t2tb3(tb2t3(X13)) = X13), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3)). 72.37/71.53 tff(f24,axiom,( 72.37/71.53 ! [X0 : ty,X12 : uni] : infix_plpl(X0,X12,nil(X0)) = X12), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_l_nil)). 72.37/71.53 tff(f25,axiom,( 72.37/71.53 ! [X0 : ty,X16 : uni] : none(X0) != some(X0,X16)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',none_Some)). 72.37/71.53 tff(f27,axiom,( 72.37/71.53 ! [X10 : bool] : (false = X10 | true = X10)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bool_inversion)). 72.37/71.53 tff(f28,axiom,( 72.37/71.53 ! [X0 : ty,X12 : uni] : $lesseq(0,length(X0,X12))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nonnegative)). 72.37/71.53 tff(f29,axiom,( 72.37/71.53 ! [X0 : ty,X10 : uni] : (sort(X0,X10) => some_proj_1(X0,some(X0,X10)) = X10)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_proj_1_def)). 72.37/71.53 tff(f30,axiom,( 72.37/71.53 true != false), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)). 72.37/71.53 tff(f32,axiom,( 72.37/71.53 ! [X7 : list_a1] : tb2t3(t2tb3(X7)) = X7), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL3)). 72.37/71.53 tff(f33,axiom,( 72.37/71.53 ! [X0 : ty,X10 : uni] : (sort(option(X0),X10) => (some(X0,some_proj_1(X0,X10)) = X10 | none(X0) = X10))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',option_inversion)). 72.37/71.53 tff(f34,axiom,( 72.37/71.53 ! [X0 : ty,X12 : uni,X7 : $int] : ($lesseq(length(X0,X12),X7) => none(X0) = nth(X0,X7,X12))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_none_2)). 72.37/71.53 tff(f35,axiom,( 72.37/71.53 ! [X0 : ty,X8 : uni,X9 : uni] : (sort(X0,X9) => match_bool(X0,false,X8,X9) = X9)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_bool_False)). 72.37/71.53 tff(f37,axiom,( 72.37/71.53 ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni] : sort(X1,match_option(X1,X0,X2,X3,X4))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_option_sort)). 72.37/71.53 tff(f38,axiom,( 72.37/71.53 ! [X0 : ty,X12 : uni,X7 : $int] : (none(X0) = nth(X0,X7,X12) => ($less(X7,0) | $lesseq(length(X0,X12),X7)))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_none_3)). 72.37/71.53 tff(f40,axiom,( 72.37/71.53 ! [X0 : ty,X10 : uni,X11 : uni] : cons_proj_2(X0,cons(X0,X10,X11)) = X11), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_2_def)). 72.37/71.53 tff(f42,axiom,( 72.37/71.53 ! [X0 : ty] : (length(X0,nil(X0)) = 0 & ! [X2 : uni,X3 : uni] : length(X0,cons(X0,X2,X3)) = $sum(1,length(X0,X3)))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def)). 72.37/71.53 tff(f46,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni] : (sort(X0,X2) => (~mem(X0,X2,nil(X0)) & ! [X3 : uni,X4 : uni] : (sort(X0,X3) => ((X2 = X3 | mem(X0,X2,X4)) <=> mem(X0,X2,cons(X0,X3,X4))))))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_def)). 72.37/71.53 tff(f47,axiom,( 72.37/71.53 ! [X0 : ty,X15 : $int] : (none(X0) = nth(X0,X15,nil(X0)) & ! [X2 : uni,X3 : uni] : ((0 != X15 => nth(X0,$difference(X15,1),X3) = nth(X0,X15,cons(X0,X2,X3))) & (0 = X15 => some(X0,X2) = nth(X0,X15,cons(X0,X2,X3)))))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_def)). 72.37/71.53 tff(f48,axiom,( 72.37/71.53 ! [X0 : ty,X16 : uni,X18 : uni] : nil(X0) != cons(X0,X16,X18)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',nil_Cons)). 72.37/71.53 tff(f50,axiom,( 72.37/71.53 ! [X0 : ty,X12 : uni] : (nil(X0) = X12 <=> length(X0,X12) = 0)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nil)). 72.37/71.53 tff(f51,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni,X5 : uni,X6 : uni] : ((mem(X0,X2,X6) | mem(X0,X2,X5)) <=> mem(X0,X2,infix_plpl(X0,X5,X6)))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_append)). 72.37/71.53 tff(f52,conjecture,( 72.37/71.53 ! [X2 : list_a1,X17 : list_a1] : ($lesseq(length(a1,t2tb3(X17)),length(a1,t2tb3(X2))) => ! [X3 : a,X4 : list_a1] : (tb2t3(cons(a1,t2tb(X3),t2tb3(X4))) = X17 => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X4 => ! [X21 : a,X22 : list_a1] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X2 => ($lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X25 : a,X26 : list_a1] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(some(a1,t2tb(X25))) = tb2t4(nth(a1,$difference(length(a1,t2tb3(X17)),1),t2tb3(X2))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X17)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X2))))))))))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_palindrome_rec)). 72.37/71.53 tff(f53,negated_conjecture,( 72.37/71.53 ~! [X2 : list_a1,X17 : list_a1] : ($lesseq(length(a1,t2tb3(X17)),length(a1,t2tb3(X2))) => ! [X3 : a,X4 : list_a1] : (tb2t3(cons(a1,t2tb(X3),t2tb3(X4))) = X17 => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X4 => ! [X21 : a,X22 : list_a1] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X2 => ($lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X25 : a,X26 : list_a1] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(some(a1,t2tb(X25))) = tb2t4(nth(a1,$difference(length(a1,t2tb3(X17)),1),t2tb3(X2))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X17)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X2))))))))))), 72.37/71.53 inference(negated_conjecture,[],[f52])). 72.37/71.53 tff(f55,axiom,( 72.37/71.53 ! [X0 : ty,X2 : uni] : sort(option(X0),some(X0,X2))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_sort)). 72.37/71.53 tff(f56,axiom,( 72.37/71.53 ! [X0 : ty,X8 : uni,X9 : uni] : (sort(X0,X8) => match_bool(X0,true,X8,X9) = X8)), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_bool_True)). 72.37/71.53 tff(f57,axiom,( 72.37/71.53 ! [X0 : ty,X2 : bool,X3 : uni,X4 : uni] : sort(X0,match_bool(X0,X2,X3,X4))), 72.37/71.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',match_bool_sort1)). 72.37/71.53 tff(f59,plain,( 72.37/71.53 ~! [X2 : list_a1,X17 : list_a1] : (~$less(length(a1,t2tb3(X2)),length(a1,t2tb3(X17))) => ! [X3 : a,X4 : list_a1] : (tb2t3(cons(a1,t2tb(X3),t2tb3(X4))) = X17 => ! [X19 : a,X20 : list_a1] : (tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X4 => ! [X21 : a,X22 : list_a1] : (tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X2 => (~$less(length(a1,t2tb3(X22)),length(a1,t2tb3(X20))) => ! [X23 : list_a1] : ((? [X24 : list_a1] : (length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22) & pal(a1,t2tb3(X22),length(a1,t2tb3(X20)))) => ! [X25 : a,X26 : list_a1] : (tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 => (tb2t4(some(a1,t2tb(X25))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X17)),$uminus(1)),t2tb3(X2))) => (X21 = X25 => ? [X24 : list_a1] : (length(a1,t2tb3(X17)) = length(a1,t2tb3(X24)) & tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X2))))))))))), 72.37/71.53 inference(evaluation,[],[f53])). 72.37/71.53 tff(f60,plain,( 72.37/71.53 ! [X0 : ty,X12 : uni] : ~$less(length(X0,X12),0)), 72.37/71.53 inference(evaluation,[],[f28])). 72.37/71.53 tff(f61,plain,( 72.37/71.53 ! [X0 : ty,X15 : $int] : (none(X0) = nth(X0,X15,nil(X0)) & ! [X2 : uni,X3 : uni] : ((0 != X15 => nth(X0,$sum(X15,$uminus(1)),X3) = nth(X0,X15,cons(X0,X2,X3))) & (0 = X15 => some(X0,X2) = nth(X0,X15,cons(X0,X2,X3)))))), 72.37/71.53 inference(evaluation,[],[f47])). 72.37/71.53 tff(f63,plain,( 72.37/71.53 ! [X0 : ty,X12 : uni,X7 : $int] : (~$less(X7,length(X0,X12)) => none(X0) = nth(X0,X7,X12))), 72.37/71.53 inference(evaluation,[],[f34])). 72.37/71.53 tff(f64,plain,( 72.37/71.53 ! [X0 : ty,X12 : uni,X7 : $int] : (none(X0) = nth(X0,X7,X12) => ($less(X7,0) | ~$less(X7,length(X0,X12))))), 72.37/71.53 inference(evaluation,[],[f38])). 72.37/71.53 tff(f65,plain,( 72.37/71.53 ! [X0 : ty,X2 : uni,X15 : $int] : (! [X7 : $int] : (($less(X7,X15) & ~$less(X7,0)) => nth(X0,X7,X2) = nth(X0,$sum($difference(X15,1),$uminus(X7)),X2)) <=> pal(X0,X2,X15))), 72.37/71.53 inference(evaluation,[],[f13])). 72.37/71.53 tff(f67,plain,( 72.37/71.53 ~! [X0 : list_a1,X1 : list_a1] : (~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))) => ! [X2 : a,X3 : list_a1] : (tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1 => ! [X4 : a,X5 : list_a1] : (tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3 => ! [X6 : a,X7 : list_a1] : (tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0 => (~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) => ! [X8 : list_a1] : ((? [X9 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) => ! [X10 : a,X11 : list_a1] : (tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8 => (tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) => (X6 = X10 => ? [X12 : list_a1] : (length(a1,t2tb3(X1)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) = X0))))))))))), 72.37/71.53 inference(rectify,[],[f59])). 72.37/71.53 tff(f69,plain,( 72.37/71.53 ! [X0 : a] : sort(a1,t2tb(X0))), 72.37/71.53 inference(rectify,[],[f3])). 72.37/71.53 tff(f70,plain,( 72.37/71.53 ! [X0 : list_a1] : tb2t3(t2tb3(X0)) = X0), 72.37/71.53 inference(rectify,[],[f32])). 72.37/71.53 tff(f71,plain,( 72.37/71.53 ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0), 72.37/71.53 inference(rectify,[],[f23])). 72.37/71.53 tff(f74,plain,( 72.37/71.53 ! [X0 : option_a1] : sort(option(a1),t2tb4(X0))), 72.37/71.53 inference(rectify,[],[f22])). 72.37/71.53 tff(f76,plain,( 72.37/71.53 ! [X0 : ty] : (length(X0,nil(X0)) = 0 & ! [X1 : uni,X2 : uni] : length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)))), 72.37/71.53 inference(rectify,[],[f42])). 72.37/71.53 tff(f77,plain,( 72.37/71.53 ! [X0 : bool] : (false = X0 | true = X0)), 72.37/71.53 inference(rectify,[],[f27])). 72.37/71.53 tff(f78,plain,( 72.37/71.53 ! [X0 : uni] : (sort(a1,X0) => t2tb(tb2t(X0)) = X0)), 72.37/71.53 inference(rectify,[],[f10])). 72.37/71.53 tff(f79,plain,( 72.37/71.53 ! [X0 : uni] : (sort(option(a1),X0) => t2tb4(tb2t4(X0)) = X0)), 72.37/71.53 inference(rectify,[],[f11])). 72.37/71.53 tff(f80,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ~$less(length(X0,X1),0)), 72.37/71.53 inference(rectify,[],[f60])). 72.37/71.53 tff(f81,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : sort(X0,cons_proj_1(X0,X1))), 72.37/71.53 inference(rectify,[],[f2])). 72.37/71.53 tff(f82,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : sort(X0,some_proj_1(X0,X1))), 72.37/71.53 inference(rectify,[],[f20])). 72.37/71.53 tff(f83,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)), 72.37/71.53 inference(rectify,[],[f25])). 72.37/71.53 tff(f84,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : sort(option(X0),some(X0,X1))), 72.37/71.53 inference(rectify,[],[f55])). 72.37/71.53 tff(f86,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : infix_plpl(X0,X1,nil(X0)) = X1), 72.37/71.53 inference(rectify,[],[f24])). 72.37/71.53 tff(f87,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (! [X2 : uni,X3 : uni] : cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1) & infix_plpl(X0,nil(X0),X1) = X1)), 72.37/71.53 inference(rectify,[],[f21])). 72.37/71.53 tff(f88,plain,( 72.37/71.53 ! [X0 : ty,X1 : $int] : (none(X0) = nth(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((0 != X1 => nth(X0,$sum(X1,$uminus(1)),X3) = nth(X0,X1,cons(X0,X2,X3))) & (0 = X1 => some(X0,X2) = nth(X0,X1,cons(X0,X2,X3)))))), 72.37/71.53 inference(rectify,[],[f61])). 72.37/71.53 tff(f89,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1)), 72.37/71.53 inference(rectify,[],[f7])). 72.37/71.53 tff(f90,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => some_proj_1(X0,some(X0,X1)) = X1)), 72.37/71.53 inference(rectify,[],[f29])). 72.37/71.53 tff(f91,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (sort(X0,X1) => (~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (sort(X0,X2) => ((X1 = X2 | mem(X0,X1,X3)) <=> mem(X0,X1,cons(X0,X2,X3))))))), 72.37/71.53 inference(rectify,[],[f46])). 72.37/71.53 tff(f92,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (sort(option(X0),X1) => (some(X0,some_proj_1(X0,X1)) = X1 | none(X0) = X1))), 72.37/71.53 inference(rectify,[],[f33])). 72.37/71.53 tff(f93,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (nil(X0) = X1 <=> length(X0,X1) = 0)), 72.37/71.53 inference(rectify,[],[f50])). 72.37/71.53 tff(f94,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : nil(X0) != cons(X0,X1,X2)), 72.37/71.53 inference(rectify,[],[f48])). 72.37/71.53 tff(f95,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : sort(list(X0),infix_plpl(X0,X1,X2))), 72.37/71.53 inference(rectify,[],[f19])). 72.37/71.53 tff(f97,plain,( 72.37/71.53 ! [X0 : ty,X1 : $int,X2 : uni] : sort(option(X0),nth(X0,X1,X2))), 72.37/71.53 inference(rectify,[],[f14])). 72.37/71.53 tff(f98,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_2(X0,cons(X0,X1,X2)) = X2), 72.37/71.53 inference(rectify,[],[f40])). 72.37/71.53 tff(f99,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : length(X0,infix_plpl(X0,X1,X2)) = $sum(length(X0,X1),length(X0,X2))), 72.37/71.53 inference(rectify,[],[f18])). 72.37/71.53 tff(f102,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => match_bool(X0,true,X1,X2) = X1)), 72.37/71.53 inference(rectify,[],[f56])). 72.37/71.53 tff(f103,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X2) => match_bool(X0,false,X1,X2) = X2)), 72.37/71.53 inference(rectify,[],[f35])). 72.37/71.53 tff(f104,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (sort(X0,X1) => cons_proj_1(X0,cons(X0,X1,X2)) = X1)), 72.37/71.53 inference(rectify,[],[f17])). 72.37/71.53 tff(f105,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (mem(X0,X1,X2) => ? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2))), 72.37/71.53 inference(rectify,[],[f8])). 72.37/71.53 tff(f106,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (~$less(X2,length(X0,X1)) => none(X0) = nth(X0,X2,X1))), 72.37/71.53 inference(rectify,[],[f63])). 72.37/71.53 tff(f107,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (none(X0) = nth(X0,X2,X1) => ($less(X2,0) | ~$less(X2,length(X0,X1))))), 72.37/71.53 inference(rectify,[],[f64])). 72.37/71.53 tff(f108,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (! [X3 : $int] : (($less(X3,X2) & ~$less(X3,0)) => nth(X0,X3,X1) = nth(X0,$sum($difference(X2,1),$uminus(X3)),X1)) <=> pal(X0,X1,X2))), 72.37/71.53 inference(rectify,[],[f65])). 72.37/71.53 tff(f109,plain,( 72.37/71.53 ! [X0 : ty,X1 : bool,X2 : uni,X3 : uni] : sort(X0,match_bool(X0,X1,X2,X3))), 72.37/71.53 inference(rectify,[],[f57])). 72.37/71.53 tff(f110,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : infix_plpl(X0,X1,infix_plpl(X0,X2,X3)) = infix_plpl(X0,infix_plpl(X0,X1,X2),X3)), 72.37/71.53 inference(rectify,[],[f12])). 72.37/71.53 tff(f115,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2)) <=> mem(X0,X1,infix_plpl(X0,X2,X3)))), 72.37/71.53 inference(rectify,[],[f51])). 72.37/71.53 tff(f118,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (pal(X0,X1,X2) => ! [X3 : $int] : (($less(X3,X2) & ~$less(X3,0)) => nth(X0,X3,X1) = nth(X0,$sum($difference(X2,1),$uminus(X3)),X1)))), 72.37/71.53 inference(unused_predicate_definition_removal,[],[f108])). 72.37/71.53 tff(f119,plain,( 72.37/71.53 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : ((? [X8 : list_a1] : (? [X10 : a,X11 : list_a1] : (((! [X12 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != X0) & X6 = X10) & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0)))) & tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8) & (? [X9 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5))))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5)))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1) & ~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))))), 72.37/71.53 inference(ennf_transformation,[],[f67])). 72.37/71.53 tff(f120,plain,( 72.37/71.53 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X10 : a,X11 : list_a1] : (! [X12 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X12)) | tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X11))) != X0) & X6 = X10 & tb2t4(some(a1,t2tb(X10))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X10),t2tb3(X11))) = X8) & ? [X9 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X9)) & tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1) & ~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))))), 72.37/71.53 inference(flattening,[],[f119])). 72.37/71.53 tff(f121,plain,( 72.37/71.53 ! [X0 : uni] : (t2tb(tb2t(X0)) = X0 | ~sort(a1,X0))), 72.37/71.53 inference(ennf_transformation,[],[f78])). 72.37/71.53 tff(f122,plain,( 72.37/71.53 ! [X0 : uni] : (t2tb4(tb2t4(X0)) = X0 | ~sort(option(a1),X0))), 72.37/71.53 inference(ennf_transformation,[],[f79])). 72.37/71.53 tff(f123,plain,( 72.37/71.53 ! [X0 : ty,X1 : $int] : (none(X0) = nth(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((nth(X0,$sum(X1,$uminus(1)),X3) = nth(X0,X1,cons(X0,X2,X3)) | 0 = X1) & (some(X0,X2) = nth(X0,X1,cons(X0,X2,X3)) | 0 != X1)))), 72.37/71.53 inference(ennf_transformation,[],[f88])). 72.37/71.53 tff(f124,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (some_proj_1(X0,some(X0,X1)) = X1 | ~sort(X0,X1))), 72.37/71.53 inference(ennf_transformation,[],[f90])). 72.37/71.53 tff(f125,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((X1 = X2 | mem(X0,X1,X3)) <=> mem(X0,X1,cons(X0,X2,X3))) | ~sort(X0,X2))) | ~sort(X0,X1))), 72.37/71.53 inference(ennf_transformation,[],[f91])). 72.37/71.53 tff(f126,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ((some(X0,some_proj_1(X0,X1)) = X1 | none(X0) = X1) | ~sort(option(X0),X1))), 72.37/71.53 inference(ennf_transformation,[],[f92])). 72.37/71.53 tff(f127,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : (some(X0,some_proj_1(X0,X1)) = X1 | none(X0) = X1 | ~sort(option(X0),X1))), 72.37/71.53 inference(flattening,[],[f126])). 72.37/71.53 tff(f131,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (match_bool(X0,true,X1,X2) = X1 | ~sort(X0,X1))), 72.37/71.53 inference(ennf_transformation,[],[f102])). 72.37/71.53 tff(f132,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (match_bool(X0,false,X1,X2) = X2 | ~sort(X0,X2))), 72.37/71.53 inference(ennf_transformation,[],[f103])). 72.37/71.53 tff(f133,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_1(X0,cons(X0,X1,X2)) = X1 | ~sort(X0,X1))), 72.37/71.53 inference(ennf_transformation,[],[f104])). 72.37/71.53 tff(f134,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) | ~mem(X0,X1,X2))), 72.37/71.53 inference(ennf_transformation,[],[f105])). 72.37/71.53 tff(f135,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (none(X0) = nth(X0,X2,X1) | $less(X2,length(X0,X1)))), 72.37/71.53 inference(ennf_transformation,[],[f106])). 72.37/71.53 tff(f136,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (($less(X2,0) | ~$less(X2,length(X0,X1))) | none(X0) != nth(X0,X2,X1))), 72.37/71.53 inference(ennf_transformation,[],[f107])). 72.37/71.53 tff(f137,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : ($less(X2,0) | ~$less(X2,length(X0,X1)) | none(X0) != nth(X0,X2,X1))), 72.37/71.53 inference(flattening,[],[f136])). 72.37/71.53 tff(f138,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (! [X3 : $int] : (nth(X0,X3,X1) = nth(X0,$sum($difference(X2,1),$uminus(X3)),X1) | (~$less(X3,X2) | $less(X3,0))) | ~pal(X0,X1,X2))), 72.37/71.53 inference(ennf_transformation,[],[f118])). 72.37/71.53 tff(f139,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : $int] : (! [X3 : $int] : (nth(X0,X3,X1) = nth(X0,$sum($difference(X2,1),$uminus(X3)),X1) | ~$less(X3,X2) | $less(X3,0)) | ~pal(X0,X1,X2))), 72.37/71.53 inference(flattening,[],[f138])). 72.37/71.53 tff(f146,plain,( 72.37/71.53 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1) & ~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1))))), 72.37/71.53 inference(rectify,[],[f120])). 72.37/71.53 tff(f147,plain,( 72.37/71.53 ? [X0 : list_a1,X1 : list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1) & ~$less(length(a1,t2tb3(X0)),length(a1,t2tb3(X1)))) => (? [X3 : list_a1,X2 : a] : (? [X5 : list_a1,X4 : a] : (? [X7 : list_a1,X6 : a] : (? [X8 : list_a1] : (? [X10 : list_a1,X9 : a] : (! [X11 : list_a1] : (length(a1,t2tb3(sK1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != sK0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = sK0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK1) & ~$less(length(a1,t2tb3(sK0)),length(a1,t2tb3(sK1))))), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f148,plain,( 72.37/71.53 ( ! [X0:list_a1,X1:list_a1] : (? [X2 : a,X3 : list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) & tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X1) => (? [X5 : list_a1,X4 : a] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = sK3) & tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) = X1)) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f149,plain,( 72.37/71.53 ( ! [X0:list_a1,X3:list_a1,X1:list_a1] : (? [X4 : a,X5 : list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3) => (? [X7 : list_a1,X6 : a] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(sK5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(sK5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(sK5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) & tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) = X3)) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f150,plain,( 72.37/71.53 ( ! [X0:list_a1,X5:list_a1,X1:list_a1] : (? [X6 : a,X7 : list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(X7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(X6),t2tb3(X7))) = X0) => (? [X8 : list_a1] : (? [X10 : list_a1,X9 : a] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & sK6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = sK7) & pal(a1,t2tb3(sK7),length(a1,t2tb3(X5)))) & ~$less(length(a1,t2tb3(sK7)),length(a1,t2tb3(X5))) & tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) = X0)) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f151,plain,( 72.37/71.53 ( ! [X6:a,X0:list_a1,X7:list_a1,X5:list_a1,X1:list_a1] : (? [X8 : list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5)))) => (? [X10 : list_a1,X9 : a] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = sK8) & ? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK8))) = X7) & pal(a1,t2tb3(X7),length(a1,t2tb3(X5))))) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f152,plain,( 72.37/71.53 ( ! [X6:a,X0:list_a1,X8:list_a1,X1:list_a1] : (? [X9 : a,X10 : list_a1] : (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(X10))) != X0) & X6 = X9 & tb2t4(some(a1,t2tb(X9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(X9),t2tb3(X10))) = X8) => (! [X11 : list_a1] : (length(a1,t2tb3(X1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(sK10))) != X0) & sK9 = X6 & tb2t4(some(a1,t2tb(sK9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X1)),$uminus(1)),t2tb3(X0))) & tb2t3(cons(a1,t2tb(sK9),t2tb3(sK10))) = X8)) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f153,plain,( 72.37/71.53 ( ! [X8:list_a1,X7:list_a1,X5:list_a1] : (? [X12 : list_a1] : (length(a1,t2tb3(X5)) = length(a1,t2tb3(X12)) & tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X8))) = X7) => (length(a1,t2tb3(sK11)) = length(a1,t2tb3(X5)) & tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(X8))) = X7)) )), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f154,plain,( 72.37/71.53 (((((! [X11 : list_a1] : (length(a1,t2tb3(sK1)) != length(a1,t2tb3(X11)) | tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(sK10))) != sK0) & sK6 = sK9 & tb2t4(some(a1,t2tb(sK9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0))) & tb2t3(cons(a1,t2tb(sK9),t2tb3(sK10))) = sK8) & (length(a1,t2tb3(sK5)) = length(a1,t2tb3(sK11)) & tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK8))) = sK7) & pal(a1,t2tb3(sK7),length(a1,t2tb3(sK5)))) & ~$less(length(a1,t2tb3(sK7)),length(a1,t2tb3(sK5))) & tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) = sK0) & tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) = sK3) & tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) = sK1) & ~$less(length(a1,t2tb3(sK0)),length(a1,t2tb3(sK1)))), 72.37/71.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f146,f153,f152,f151,f150,f149,f148,f147])). 72.37/71.53 tff(f155,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : ((((X1 = X2 | mem(X0,X1,X3)) | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3)))) | ~sort(X0,X2))) | ~sort(X0,X1))), 72.37/71.53 inference(nnf_transformation,[],[f125])). 72.37/71.53 tff(f156,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ((~mem(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : (((X1 = X2 | mem(X0,X1,X3) | ~mem(X0,X1,cons(X0,X2,X3))) & (mem(X0,X1,cons(X0,X2,X3)) | (X1 != X2 & ~mem(X0,X1,X3)))) | ~sort(X0,X2))) | ~sort(X0,X1))), 72.37/71.53 inference(flattening,[],[f155])). 72.37/71.53 tff(f157,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni] : ((nil(X0) = X1 | length(X0,X1) != 0) & (length(X0,X1) = 0 | nil(X0) != X1))), 72.37/71.53 inference(nnf_transformation,[],[f93])). 72.37/71.53 tff(f158,plain,( 72.37/71.53 ! [X2 : uni,X1 : uni,X0 : ty] : (? [X3 : uni,X4 : uni] : (sort(list(X0),X3) & sort(list(X0),X4) & infix_plpl(X0,X3,cons(X0,X1,X4)) = X2) => (sort(list(X0),sK12(X0,X1,X2)) & sort(list(X0),sK13(X0,X1,X2)) & infix_plpl(X0,sK12(X0,X1,X2),cons(X0,X1,sK13(X0,X1,X2))) = X2))), 72.37/71.53 introduced(choice_axiom,[])). 72.37/71.53 tff(f159,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni] : ((sort(list(X0),sK12(X0,X1,X2)) & sort(list(X0),sK13(X0,X1,X2)) & infix_plpl(X0,sK12(X0,X1,X2),cons(X0,X1,sK13(X0,X1,X2))) = X2) | ~mem(X0,X1,X2))), 72.37/71.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f134,f158])). 72.37/71.53 tff(f160,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,X3) | mem(X0,X1,X2)) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 72.37/71.53 inference(nnf_transformation,[],[f115])). 72.37/71.53 tff(f161,plain,( 72.37/71.53 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,X3) | mem(X0,X1,X2) | ~mem(X0,X1,infix_plpl(X0,X2,X3))) & (mem(X0,X1,infix_plpl(X0,X2,X3)) | (~mem(X0,X1,X3) & ~mem(X0,X1,X2))))), 72.37/71.53 inference(flattening,[],[f160])). 72.37/71.53 tff(f162,plain,( 72.37/71.53 ~$less(length(a1,t2tb3(sK0)),length(a1,t2tb3(sK1)))), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f163,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) = sK1), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f164,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) = sK3), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f165,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) = sK0), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f166,plain,( 72.37/71.53 ~$less(length(a1,t2tb3(sK7)),length(a1,t2tb3(sK5)))), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f167,plain,( 72.37/71.53 pal(a1,t2tb3(sK7),length(a1,t2tb3(sK5)))), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f168,plain,( 72.37/71.53 tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK8))) = sK7), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f169,plain,( 72.37/71.53 length(a1,t2tb3(sK5)) = length(a1,t2tb3(sK11))), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f170,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK9),t2tb3(sK10))) = sK8), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f171,plain,( 72.37/71.53 tb2t4(some(a1,t2tb(sK9))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),$uminus(1)),t2tb3(sK0)))), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f172,plain,( 72.37/71.53 sK6 = sK9), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f173,plain,( 72.37/71.53 ( ! [X11:list_a1] : (tb2t3(infix_plpl(a1,t2tb3(X11),t2tb3(sK10))) != sK0 | length(a1,t2tb3(sK1)) != length(a1,t2tb3(X11))) )), 72.37/71.53 inference(cnf_transformation,[],[f154])). 72.37/71.53 tff(f174,plain,( 72.37/71.53 true != false), 72.37/71.53 inference(cnf_transformation,[],[f30])). 72.37/71.53 tff(f176,plain,( 72.37/71.53 ( ! [X0:ty] : (sort(X0,witness(X0))) )), 72.37/71.53 inference(cnf_transformation,[],[f15])). 72.37/71.53 tff(f177,plain,( 72.37/71.53 ( ! [X0:a] : (sort(a1,t2tb(X0))) )), 72.37/71.53 inference(cnf_transformation,[],[f69])). 72.37/71.53 tff(f178,plain,( 72.37/71.53 ( ! [X0:list_a1] : (tb2t3(t2tb3(X0)) = X0) )), 72.37/71.53 inference(cnf_transformation,[],[f70])). 72.37/71.53 tff(f179,plain,( 72.37/71.53 ( ! [X0:uni] : (t2tb3(tb2t3(X0)) = X0) )), 72.37/71.53 inference(cnf_transformation,[],[f71])). 72.37/71.53 tff(f182,plain,( 72.37/71.53 ( ! [X0:option_a1] : (sort(option(a1),t2tb4(X0))) )), 72.37/71.53 inference(cnf_transformation,[],[f74])). 72.37/71.53 tff(f185,plain,( 72.37/71.53 ( ! [X0:ty] : (sort(option(X0),none(X0))) )), 72.37/71.53 inference(cnf_transformation,[],[f16])). 72.37/71.53 tff(f186,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2))) )), 72.37/71.53 inference(cnf_transformation,[],[f76])). 72.37/71.53 tff(f187,plain,( 72.37/71.53 ( ! [X0:ty] : (length(X0,nil(X0)) = 0) )), 72.37/71.53 inference(cnf_transformation,[],[f76])). 72.37/71.53 tff(f188,plain,( 72.37/71.53 ( ! [X0:bool] : (false = X0 | true = X0) )), 72.37/71.53 inference(cnf_transformation,[],[f77])). 72.37/71.53 tff(f189,plain,( 72.37/71.53 ( ! [X0:uni] : (~sort(a1,X0) | t2tb(tb2t(X0)) = X0) )), 72.37/71.53 inference(cnf_transformation,[],[f121])). 72.37/71.53 tff(f190,plain,( 72.37/71.53 ( ! [X0:uni] : (~sort(option(a1),X0) | t2tb4(tb2t4(X0)) = X0) )), 72.37/71.53 inference(cnf_transformation,[],[f122])). 72.37/71.53 tff(f191,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (~$less(length(X0,X1),0)) )), 72.37/71.53 inference(cnf_transformation,[],[f80])). 72.37/71.53 tff(f192,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (sort(X0,cons_proj_1(X0,X1))) )), 72.37/71.53 inference(cnf_transformation,[],[f81])). 72.37/71.53 tff(f193,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (sort(X0,some_proj_1(X0,X1))) )), 72.37/71.53 inference(cnf_transformation,[],[f82])). 72.37/71.53 tff(f194,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (none(X0) != some(X0,X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f83])). 72.37/71.53 tff(f195,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (sort(option(X0),some(X0,X1))) )), 72.37/71.53 inference(cnf_transformation,[],[f84])). 72.37/71.53 tff(f197,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,X1,nil(X0)) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f86])). 72.37/71.53 tff(f198,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (infix_plpl(X0,nil(X0),X1) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f87])). 72.37/71.53 tff(f199,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (cons(X0,X2,infix_plpl(X0,X3,X1)) = infix_plpl(X0,cons(X0,X2,X3),X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f87])). 72.37/71.53 tff(f200,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:$int] : (some(X0,X2) = nth(X0,X1,cons(X0,X2,X3)) | 0 != X1) )), 72.37/71.53 inference(cnf_transformation,[],[f123])). 72.37/71.53 tff(f202,plain,( 72.37/71.53 ( ! [X0:ty,X1:$int] : (none(X0) = nth(X0,X1,nil(X0))) )), 72.37/71.53 inference(cnf_transformation,[],[f123])). 72.37/71.53 tff(f203,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 | nil(X0) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f89])). 72.37/71.53 tff(f204,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (~sort(X0,X1) | some_proj_1(X0,some(X0,X1)) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f124])). 72.37/71.53 tff(f205,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | ~mem(X0,X1,X3) | ~sort(X0,X2) | ~sort(X0,X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f156])). 72.37/71.53 tff(f206,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,cons(X0,X2,X3)) | X1 != X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f156])). 72.37/71.53 tff(f207,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,cons(X0,X2,X3)) | mem(X0,X1,X3) | X1 = X2 | ~sort(X0,X2) | ~sort(X0,X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f156])). 72.37/71.53 tff(f209,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (~sort(option(X0),X1) | none(X0) = X1 | some(X0,some_proj_1(X0,X1)) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f127])). 72.37/71.53 tff(f211,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (length(X0,X1) != 0 | nil(X0) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f157])). 72.37/71.53 tff(f212,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (nil(X0) != cons(X0,X1,X2)) )), 72.37/71.53 inference(cnf_transformation,[],[f94])). 72.37/71.53 tff(f213,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (sort(list(X0),infix_plpl(X0,X1,X2))) )), 72.37/71.53 inference(cnf_transformation,[],[f95])). 72.37/71.53 tff(f215,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:$int] : (sort(option(X0),nth(X0,X1,X2))) )), 72.37/71.53 inference(cnf_transformation,[],[f97])). 72.37/71.53 tff(f216,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (cons_proj_2(X0,cons(X0,X1,X2)) = X2) )), 72.37/71.53 inference(cnf_transformation,[],[f98])). 72.37/71.53 tff(f217,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,infix_plpl(X0,X1,X2)) = $sum(length(X0,X1),length(X0,X2))) )), 72.37/71.53 inference(cnf_transformation,[],[f99])). 72.37/71.53 tff(f220,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (~sort(X0,X1) | match_bool(X0,true,X1,X2) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f131])). 72.37/71.53 tff(f221,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (~sort(X0,X2) | match_bool(X0,false,X1,X2) = X2) )), 72.37/71.53 inference(cnf_transformation,[],[f132])). 72.37/71.53 tff(f222,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (~sort(X0,X1) | cons_proj_1(X0,cons(X0,X1,X2)) = X1) )), 72.37/71.53 inference(cnf_transformation,[],[f133])). 72.37/71.53 tff(f223,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,X1,X2) | infix_plpl(X0,sK12(X0,X1,X2),cons(X0,X1,sK13(X0,X1,X2))) = X2) )), 72.37/71.53 inference(cnf_transformation,[],[f159])). 72.37/71.53 tff(f226,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X1:uni] : (none(X0) = nth(X0,X2,X1) | $less(X2,length(X0,X1))) )), 72.37/71.53 inference(cnf_transformation,[],[f135])). 72.37/71.53 tff(f227,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X1:uni] : ($less(X2,0) | ~$less(X2,length(X0,X1)) | none(X0) != nth(X0,X2,X1)) )), 72.37/71.53 inference(cnf_transformation,[],[f137])). 72.37/71.53 tff(f228,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X3:$int,X1:uni] : (nth(X0,X3,X1) = nth(X0,$sum($difference(X2,1),$uminus(X3)),X1) | ~$less(X3,X2) | $less(X3,0) | ~pal(X0,X1,X2)) )), 72.37/71.53 inference(cnf_transformation,[],[f139])). 72.37/71.53 tff(f229,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:bool] : (sort(X0,match_bool(X0,X1,X2,X3))) )), 72.37/71.53 inference(cnf_transformation,[],[f109])). 72.37/71.53 tff(f230,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (infix_plpl(X0,X1,infix_plpl(X0,X2,X3)) = infix_plpl(X0,infix_plpl(X0,X1,X2),X3)) )), 72.37/71.53 inference(cnf_transformation,[],[f110])). 72.37/71.53 tff(f235,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X2)) )), 72.37/71.53 inference(cnf_transformation,[],[f161])). 72.37/71.53 tff(f236,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (mem(X0,X1,infix_plpl(X0,X2,X3)) | ~mem(X0,X1,X3)) )), 72.37/71.53 inference(cnf_transformation,[],[f161])). 72.37/71.53 tff(f237,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni,X1:uni] : (~mem(X0,X1,infix_plpl(X0,X2,X3)) | mem(X0,X1,X2) | mem(X0,X1,X3)) )), 72.37/71.53 inference(cnf_transformation,[],[f161])). 72.37/71.53 tff(f238,plain,( 72.37/71.53 ( ! [X4:uni,X2:uni,X0:ty,X3:uni,X1:ty] : (sort(X1,match_option(X1,X0,X2,X3,X4))) )), 72.37/71.53 inference(cnf_transformation,[],[f37])). 72.37/71.53 tff(f239,plain,( 72.37/71.53 ( ! [X4:uni,X2:uni,X0:ty,X3:uni,X1:ty] : (sort(X1,match_list(X1,X0,X2,X3,X4))) )), 72.37/71.53 inference(cnf_transformation,[],[f1])). 72.37/71.53 tff(f242,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni] : (some(X0,X2) = nth(X0,0,cons(X0,X2,X3))) )), 72.37/71.53 inference(equality_resolution,[],[f200])). 72.37/71.53 tff(f243,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2) | ~sort(X0,X2)) )), 72.37/71.53 inference(equality_resolution,[],[f206])). 72.37/71.53 tff(f245,plain,( 72.37/71.53 ( ! [X2:$int,X1:$int] : (length(a1,t2tb3(sK1)) != X2 | $sum(X2,$uminus(1)) != X1 | tb2t4(some(a1,t2tb(sK9))) = tb2t4(nth(a1,X1,t2tb3(sK0)))) )), 72.37/71.53 inference(theory_flattening,[],[f171])). 72.37/71.53 tff(f246,plain,( 72.37/71.53 ( ! [X2:$int,X1:$int] : (length(a1,t2tb3(sK7)) != X1 | length(a1,t2tb3(sK5)) != X2 | ~$less(X1,X2)) )), 72.37/71.53 inference(theory_flattening,[],[f166])). 72.37/71.53 tff(f247,plain,( 72.37/71.53 ( ! [X2:$int,X1:$int] : (length(a1,t2tb3(sK1)) != X2 | length(a1,t2tb3(sK0)) != X1 | ~$less(X1,X2)) )), 72.37/71.53 inference(theory_flattening,[],[f162])). 72.37/71.53 tff(f248,plain,( 72.37/71.53 ( ! [X0:ty,X1:uni] : (nil(X0) != X1 | length(X0,X1) = 0) )), 72.37/71.53 inference(theory_flattening,[],[f187])). 72.37/71.53 tff(f249,plain,( 72.37/71.53 ( ! [X4:$int,X2:uni,X0:ty,X3:$int,X1:uni] : (length(X0,X2) != X4 | length(X0,cons(X0,X1,X2)) != X3 | $sum(1,X4) = X3) )), 72.37/71.53 inference(theory_flattening,[],[f186])). 72.37/71.53 tff(f250,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X1:uni] : (~$less(X2,0) | length(X0,X1) != X2) )), 72.37/71.53 inference(theory_flattening,[],[f191])). 72.37/71.53 tff(f253,plain,( 72.37/71.53 ( ! [X4:$int,X2:uni,X0:ty,X5:$int,X3:$int,X1:uni] : (length(X0,X2) != X5 | length(X0,X1) != X4 | length(X0,infix_plpl(X0,X1,X2)) != X3 | $sum(X4,X5) = X3) )), 72.37/71.53 inference(theory_flattening,[],[f217])). 72.37/71.53 tff(f254,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X3:$int,X1:uni] : (length(X0,X1) != X3 | none(X0) = nth(X0,X2,X1) | $less(X2,X3)) )), 72.37/71.53 inference(theory_flattening,[],[f226])). 72.37/71.53 tff(f255,plain,( 72.37/71.53 ( ! [X2:$int,X0:ty,X3:$int,X1:uni] : (none(X0) != nth(X0,X2,X1) | length(X0,X1) != X3 | ~$less(X2,X3) | $less(X2,0)) )), 72.37/71.53 inference(theory_flattening,[],[f227])). 72.37/71.53 tff(f256,plain,( 72.37/71.53 ( ! [X4:$int,X2:$int,X0:ty,X3:$int,X1:uni] : ($less(X3,0) | nth(X0,X3,X1) = nth(X0,X4,X1) | ~$less(X3,X2) | $sum($difference(X2,1),$uminus(X3)) != X4 | ~pal(X0,X1,X2)) )), 72.37/71.53 inference(theory_flattening,[],[f228])). 72.37/71.53 tff(f259,plain,( 72.37/71.53 ( ! [X2:uni,X0:ty,X3:uni] : (mem(X0,X2,cons(X0,X2,X3)) | ~sort(X0,X2)) )), 72.37/71.53 inference(duplicate_literal_removal,[],[f243])). 72.37/71.53 tff(f260,plain,( 72.37/71.53 ( ! [X2:$int,X1:$int] : (length(a1,t2tb3(sK1)) != X2 | $sum(X2,-1) != X1 | tb2t4(some(a1,t2tb(sK9))) = tb2t4(nth(a1,X1,t2tb3(sK0)))) )), 72.37/71.53 inference(evaluation,[],[f245])). 72.37/71.53 tff(f266,plain,( 72.37/71.53 spl14_0 <=> sK6 = sK9), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_0])])). 72.37/71.53 tff(f267,plain,( 72.37/71.53 sK6 = sK9 | ~spl14_0), 72.37/71.53 inference(avatar_component_clause,[],[f266])). 72.37/71.53 tff(f268,plain,( 72.37/71.53 spl14_0), 72.37/71.53 inference(avatar_split_clause,[],[f172,f266])). 72.37/71.53 tff(f273,plain,( 72.37/71.53 spl14_2 <=> tb2t3(cons(a1,t2tb(sK9),t2tb3(sK10))) = sK8), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_2])])). 72.37/71.53 tff(f274,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK9),t2tb3(sK10))) = sK8 | ~spl14_2), 72.37/71.53 inference(avatar_component_clause,[],[f273])). 72.37/71.53 tff(f275,plain,( 72.37/71.53 spl14_2), 72.37/71.53 inference(avatar_split_clause,[],[f170,f273])). 72.37/71.53 tff(f280,plain,( 72.37/71.53 spl14_4 <=> length(a1,t2tb3(sK5)) = length(a1,t2tb3(sK11))), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_4])])). 72.37/71.53 tff(f281,plain,( 72.37/71.53 length(a1,t2tb3(sK5)) = length(a1,t2tb3(sK11)) | ~spl14_4), 72.37/71.53 inference(avatar_component_clause,[],[f280])). 72.37/71.53 tff(f282,plain,( 72.37/71.53 spl14_4), 72.37/71.53 inference(avatar_split_clause,[],[f169,f280])). 72.37/71.53 tff(f287,plain,( 72.37/71.53 spl14_6 <=> tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK8))) = sK7), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_6])])). 72.37/71.53 tff(f288,plain,( 72.37/71.53 tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK8))) = sK7 | ~spl14_6), 72.37/71.53 inference(avatar_component_clause,[],[f287])). 72.37/71.53 tff(f289,plain,( 72.37/71.53 spl14_6), 72.37/71.53 inference(avatar_split_clause,[],[f168,f287])). 72.37/71.53 tff(f294,plain,( 72.37/71.53 spl14_8 <=> pal(a1,t2tb3(sK7),length(a1,t2tb3(sK5)))), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_8])])). 72.37/71.53 tff(f296,plain,( 72.37/71.53 spl14_8), 72.37/71.53 inference(avatar_split_clause,[],[f167,f294])). 72.37/71.53 tff(f301,plain,( 72.37/71.53 spl14_10 <=> tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) = sK0), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_10])])). 72.37/71.53 tff(f302,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) = sK0 | ~spl14_10), 72.37/71.53 inference(avatar_component_clause,[],[f301])). 72.37/71.53 tff(f303,plain,( 72.37/71.53 spl14_10), 72.37/71.53 inference(avatar_split_clause,[],[f165,f301])). 72.37/71.53 tff(f308,plain,( 72.37/71.53 spl14_12 <=> tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) = sK3), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_12])])). 72.37/71.53 tff(f309,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) = sK3 | ~spl14_12), 72.37/71.53 inference(avatar_component_clause,[],[f308])). 72.37/71.53 tff(f310,plain,( 72.37/71.53 spl14_12), 72.37/71.53 inference(avatar_split_clause,[],[f164,f308])). 72.37/71.53 tff(f315,plain,( 72.37/71.53 spl14_14 <=> tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) = sK1), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_14])])). 72.37/71.53 tff(f316,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK2),t2tb3(sK3))) = sK1 | ~spl14_14), 72.37/71.53 inference(avatar_component_clause,[],[f315])). 72.37/71.53 tff(f317,plain,( 72.37/71.53 spl14_14), 72.37/71.53 inference(avatar_split_clause,[],[f163,f315])). 72.37/71.53 tff(f319,plain,( 72.37/71.53 spl14_16 <=> true = false), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_16])])). 72.37/71.53 tff(f322,plain,( 72.37/71.53 spl14_17 <=> true != false), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_17])])). 72.37/71.53 tff(f323,plain,( 72.37/71.53 true != false | ~spl14_17), 72.37/71.53 inference(avatar_component_clause,[],[f322])). 72.37/71.53 tff(f324,plain,( 72.37/71.53 ~spl14_17), 72.37/71.53 inference(avatar_split_clause,[],[f174,f322])). 72.37/71.53 tff(f327,plain,( 72.37/71.53 ( ! [X0:bool,X1:bool] : (X0 = X1 | true = X1 | true = X0) )), 72.37/71.53 inference(superposition,[],[f188,f188])). 72.37/71.53 tff(f330,plain,( 72.37/71.53 tb2t3(cons(a1,t2tb(sK6),t2tb3(sK10))) = sK8 | (~spl14_0 | ~spl14_2)), 72.37/71.53 inference(forward_demodulation,[],[f274,f267])). 72.37/71.53 tff(f335,plain,( 72.37/71.53 spl14_18 <=> tb2t3(cons(a1,t2tb(sK6),t2tb3(sK10))) = sK8), 72.37/71.53 introduced(avatar_definition,[new_symbols(naming,[spl14_18])])). 72.37/71.54 tff(f336,plain,( 72.37/71.54 tb2t3(cons(a1,t2tb(sK6),t2tb3(sK10))) = sK8 | ~spl14_18), 72.37/71.54 inference(avatar_component_clause,[],[f335])). 72.37/71.54 tff(f337,plain,( 72.37/71.54 spl14_18 | ~spl14_0 | ~spl14_2), 72.37/71.54 inference(avatar_split_clause,[],[f330,f273,f266,f335])). 72.37/71.54 tff(f338,plain,( 72.37/71.54 infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) = t2tb3(sK7) | ~spl14_6), 72.37/71.54 inference(superposition,[],[f179,f288])). 72.37/71.54 tff(f343,plain,( 72.37/71.54 spl14_20 <=> infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_20])])). 72.37/71.54 tff(f344,plain,( 72.37/71.54 infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) = t2tb3(sK7) | ~spl14_20), 72.37/71.54 inference(avatar_component_clause,[],[f343])). 72.37/71.54 tff(f345,plain,( 72.37/71.54 spl14_20 | ~spl14_6), 72.37/71.54 inference(avatar_split_clause,[],[f338,f287,f343])). 72.37/71.54 tff(f346,plain,( 72.37/71.54 cons(a1,t2tb(sK6),t2tb3(sK7)) = t2tb3(sK0) | ~spl14_10), 72.37/71.54 inference(superposition,[],[f179,f302])). 72.37/71.54 tff(f351,plain,( 72.37/71.54 spl14_22 <=> cons(a1,t2tb(sK6),t2tb3(sK7)) = t2tb3(sK0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_22])])). 72.37/71.54 tff(f352,plain,( 72.37/71.54 cons(a1,t2tb(sK6),t2tb3(sK7)) = t2tb3(sK0) | ~spl14_22), 72.37/71.54 inference(avatar_component_clause,[],[f351])). 72.37/71.54 tff(f353,plain,( 72.37/71.54 spl14_22 | ~spl14_10), 72.37/71.54 inference(avatar_split_clause,[],[f346,f301,f351])). 72.37/71.54 tff(f354,plain,( 72.37/71.54 cons(a1,t2tb(sK4),t2tb3(sK5)) = t2tb3(sK3) | ~spl14_12), 72.37/71.54 inference(superposition,[],[f179,f309])). 72.37/71.54 tff(f359,plain,( 72.37/71.54 spl14_24 <=> cons(a1,t2tb(sK4),t2tb3(sK5)) = t2tb3(sK3)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_24])])). 72.37/71.54 tff(f360,plain,( 72.37/71.54 cons(a1,t2tb(sK4),t2tb3(sK5)) = t2tb3(sK3) | ~spl14_24), 72.37/71.54 inference(avatar_component_clause,[],[f359])). 72.37/71.54 tff(f361,plain,( 72.37/71.54 spl14_24 | ~spl14_12), 72.37/71.54 inference(avatar_split_clause,[],[f354,f308,f359])). 72.37/71.54 tff(f362,plain,( 72.37/71.54 cons(a1,t2tb(sK2),t2tb3(sK3)) = t2tb3(sK1) | ~spl14_14), 72.37/71.54 inference(superposition,[],[f179,f316])). 72.37/71.54 tff(f367,plain,( 72.37/71.54 spl14_26 <=> cons(a1,t2tb(sK2),t2tb3(sK3)) = t2tb3(sK1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_26])])). 72.37/71.54 tff(f368,plain,( 72.37/71.54 cons(a1,t2tb(sK2),t2tb3(sK3)) = t2tb3(sK1) | ~spl14_26), 72.37/71.54 inference(avatar_component_clause,[],[f367])). 72.37/71.54 tff(f369,plain,( 72.37/71.54 spl14_26 | ~spl14_14), 72.37/71.54 inference(avatar_split_clause,[],[f362,f315,f367])). 72.37/71.54 tff(f370,plain,( 72.37/71.54 cons(a1,t2tb(sK6),t2tb3(sK10)) = t2tb3(sK8) | ~spl14_18), 72.37/71.54 inference(superposition,[],[f179,f336])). 72.37/71.54 tff(f375,plain,( 72.37/71.54 spl14_28 <=> cons(a1,t2tb(sK6),t2tb3(sK10)) = t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_28])])). 72.37/71.54 tff(f376,plain,( 72.37/71.54 cons(a1,t2tb(sK6),t2tb3(sK10)) = t2tb3(sK8) | ~spl14_28), 72.37/71.54 inference(avatar_component_clause,[],[f375])). 72.37/71.54 tff(f377,plain,( 72.37/71.54 spl14_28 | ~spl14_18), 72.37/71.54 inference(avatar_split_clause,[],[f370,f335,f375])). 72.37/71.54 tff(f383,plain,( 72.37/71.54 nil(a1) != t2tb3(sK1) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f212,f368])). 72.37/71.54 tff(f384,plain,( 72.37/71.54 nil(a1) != t2tb3(sK3) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f212,f360])). 72.37/71.54 tff(f385,plain,( 72.37/71.54 nil(a1) != t2tb3(sK0) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f212,f352])). 72.37/71.54 tff(f386,plain,( 72.37/71.54 nil(a1) != t2tb3(sK8) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f212,f376])). 72.37/71.54 tff(f391,plain,( 72.37/71.54 spl14_31 <=> nil(a1) != t2tb3(sK1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_31])])). 72.37/71.54 tff(f393,plain,( 72.37/71.54 ~spl14_31 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f383,f367,f391])). 72.37/71.54 tff(f398,plain,( 72.37/71.54 spl14_33 <=> nil(a1) != t2tb3(sK3)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_33])])). 72.37/71.54 tff(f400,plain,( 72.37/71.54 ~spl14_33 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f384,f359,f398])). 72.37/71.54 tff(f405,plain,( 72.37/71.54 spl14_35 <=> nil(a1) != t2tb3(sK0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_35])])). 72.37/71.54 tff(f407,plain,( 72.37/71.54 ~spl14_35 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f385,f351,f405])). 72.37/71.54 tff(f409,plain,( 72.37/71.54 spl14_36 <=> nil(a1) = t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_36])])). 72.37/71.54 tff(f412,plain,( 72.37/71.54 spl14_37 <=> nil(a1) != t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_37])])). 72.37/71.54 tff(f414,plain,( 72.37/71.54 ~spl14_37 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f386,f375,f412])). 72.37/71.54 tff(f416,plain,( 72.37/71.54 ( ! [X0:ty,X1:uni] : (sort(list(X0),X1)) )), 72.37/71.54 inference(superposition,[],[f213,f197])). 72.37/71.54 tff(f419,plain,( 72.37/71.54 witness(a1) = t2tb(tb2t(witness(a1)))), 72.37/71.54 inference(resolution,[],[f189,f176])). 72.37/71.54 tff(f427,plain,( 72.37/71.54 spl14_38 <=> witness(a1) = t2tb(tb2t(witness(a1)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_38])])). 72.37/71.54 tff(f429,plain,( 72.37/71.54 spl14_38), 72.37/71.54 inference(avatar_split_clause,[],[f419,f427])). 72.37/71.54 tff(f431,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK1)) = t2tb3(sK3) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f216,f368])). 72.37/71.54 tff(f432,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK3)) = t2tb3(sK5) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f216,f360])). 72.37/71.54 tff(f433,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK0)) = t2tb3(sK7) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f216,f352])). 72.37/71.54 tff(f434,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK8)) = t2tb3(sK10) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f216,f376])). 72.37/71.54 tff(f439,plain,( 72.37/71.54 spl14_40 <=> cons_proj_2(a1,t2tb3(sK1)) = t2tb3(sK3)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_40])])). 72.37/71.54 tff(f441,plain,( 72.37/71.54 spl14_40 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f431,f367,f439])). 72.37/71.54 tff(f446,plain,( 72.37/71.54 spl14_42 <=> cons_proj_2(a1,t2tb3(sK3)) = t2tb3(sK5)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_42])])). 72.37/71.54 tff(f448,plain,( 72.37/71.54 spl14_42 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f432,f359,f446])). 72.37/71.54 tff(f453,plain,( 72.37/71.54 spl14_44 <=> cons_proj_2(a1,t2tb3(sK0)) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_44])])). 72.37/71.54 tff(f455,plain,( 72.37/71.54 spl14_44 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f433,f351,f453])). 72.37/71.54 tff(f460,plain,( 72.37/71.54 spl14_46 <=> cons_proj_2(a1,t2tb3(sK8)) = t2tb3(sK10)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_46])])). 72.37/71.54 tff(f461,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK8)) = t2tb3(sK10) | ~spl14_46), 72.37/71.54 inference(avatar_component_clause,[],[f460])). 72.37/71.54 tff(f462,plain,( 72.37/71.54 spl14_46 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f434,f375,f460])). 72.37/71.54 tff(f466,plain,( 72.37/71.54 none(a1) = t2tb4(tb2t4(none(a1)))), 72.37/71.54 inference(resolution,[],[f190,f185])). 72.37/71.54 tff(f467,plain,( 72.37/71.54 ( ! [X0:uni] : (some(a1,X0) = t2tb4(tb2t4(some(a1,X0)))) )), 72.37/71.54 inference(resolution,[],[f190,f195])). 72.37/71.54 tff(f468,plain,( 72.37/71.54 ( ! [X2:uni,X1:$int] : (nth(a1,X1,X2) = t2tb4(tb2t4(nth(a1,X1,X2)))) )), 72.37/71.54 inference(resolution,[],[f190,f215])). 72.37/71.54 tff(f470,plain,( 72.37/71.54 witness(option(a1)) = t2tb4(tb2t4(witness(option(a1))))), 72.37/71.54 inference(resolution,[],[f190,f176])). 72.37/71.54 tff(f480,plain,( 72.37/71.54 spl14_48 <=> none(a1) = t2tb4(tb2t4(none(a1)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_48])])). 72.37/71.54 tff(f482,plain,( 72.37/71.54 spl14_48), 72.37/71.54 inference(avatar_split_clause,[],[f466,f480])). 72.37/71.54 tff(f487,plain,( 72.37/71.54 spl14_50 <=> witness(option(a1)) = t2tb4(tb2t4(witness(option(a1))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_50])])). 72.37/71.54 tff(f488,plain,( 72.37/71.54 witness(option(a1)) = t2tb4(tb2t4(witness(option(a1)))) | ~spl14_50), 72.37/71.54 inference(avatar_component_clause,[],[f487])). 72.37/71.54 tff(f489,plain,( 72.37/71.54 spl14_50), 72.37/71.54 inference(avatar_split_clause,[],[f470,f487])). 72.37/71.54 tff(f491,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != 0 | nil(a1) = t2tb3(sK11) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f211,f281])). 72.37/71.54 tff(f496,plain,( 72.37/71.54 spl14_52 <=> nil(a1) = t2tb3(sK11)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_52])])). 72.37/71.54 tff(f497,plain,( 72.37/71.54 nil(a1) = t2tb3(sK11) | ~spl14_52), 72.37/71.54 inference(avatar_component_clause,[],[f496])). 72.37/71.54 tff(f499,plain,( 72.37/71.54 spl14_54 <=> length(a1,t2tb3(sK5)) = 0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_54])])). 72.37/71.54 tff(f502,plain,( 72.37/71.54 spl14_55 <=> length(a1,t2tb3(sK5)) != 0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_55])])). 72.37/71.54 tff(f504,plain,( 72.37/71.54 spl14_52 | ~spl14_55 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f491,f280,f502,f496])). 72.37/71.54 tff(f505,plain,( 72.37/71.54 ( ! [X0:ty] : (length(X0,nil(X0)) = 0) )), 72.37/71.54 inference(equality_resolution,[],[f248])). 72.37/71.54 tff(f509,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X3:bool,X1:bool] : (X0 = X1 | X1 = X2 | true = X2 | X0 = X3 | true = X3) )), 72.37/71.54 inference(superposition,[],[f327,f327])). 72.37/71.54 tff(f544,plain,( 72.37/71.54 ( ! [X0:$int] : (~$less(length(a1,t2tb3(sK7)),X0) | length(a1,t2tb3(sK5)) != X0) )), 72.37/71.54 inference(equality_resolution,[],[f246])). 72.37/71.54 tff(f545,plain,( 72.37/71.54 ( ! [X0:$int] : (~$less(X0,length(a1,t2tb3(sK1))) | length(a1,t2tb3(sK0)) != X0) )), 72.37/71.54 inference(equality_resolution,[],[f247])). 72.37/71.54 tff(f549,plain,( 72.37/71.54 ( ! [X10:ty,X11:uni] : (cons_proj_1(X10,X11) = some_proj_1(X10,some(X10,cons_proj_1(X10,X11)))) )), 72.37/71.54 inference(resolution,[],[f204,f192])). 72.37/71.54 tff(f554,plain,( 72.37/71.54 ( ! [X23:uni,X22:ty] : (some(X22,X23) = some_proj_1(option(X22),some(option(X22),some(X22,X23)))) )), 72.37/71.54 inference(resolution,[],[f204,f195])). 72.37/71.54 tff(f557,plain,( 72.37/71.54 ( ! [X28:a] : (some_proj_1(a1,some(a1,t2tb(X28))) = t2tb(X28)) )), 72.37/71.54 inference(resolution,[],[f204,f177])). 72.37/71.54 tff(f566,plain,( 72.37/71.54 ( ! [X0:ty,X1:uni] : (witness(X0) = match_bool(X0,true,witness(X0),X1)) )), 72.37/71.54 inference(resolution,[],[f220,f176])). 72.37/71.54 tff(f569,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni,X13:ty] : (match_bool(X13,true,cons_proj_1(X13,X14),X15) = cons_proj_1(X13,X14)) )), 72.37/71.54 inference(resolution,[],[f220,f192])). 72.37/71.54 tff(f571,plain,( 72.37/71.54 ( ! [X24:uni,X23:uni,X22:ty] : (match_bool(X22,true,some_proj_1(X22,X23),X24) = some_proj_1(X22,X23)) )), 72.37/71.54 inference(resolution,[],[f220,f193])). 72.37/71.54 tff(f573,plain,( 72.37/71.54 ( ! [X28:ty,X29:uni] : (match_bool(option(X28),true,none(X28),X29) = none(X28)) )), 72.37/71.54 inference(resolution,[],[f220,f185])). 72.37/71.54 tff(f576,plain,( 72.37/71.54 ( ! [X37:option_a1,X38:uni] : (match_bool(option(a1),true,t2tb4(X37),X38) = t2tb4(X37)) )), 72.37/71.54 inference(resolution,[],[f220,f182])). 72.37/71.54 tff(f577,plain,( 72.37/71.54 ( ! [X39:a,X40:uni] : (match_bool(a1,true,t2tb(X39),X40) = t2tb(X39)) )), 72.37/71.54 inference(resolution,[],[f220,f177])). 72.37/71.54 tff(f578,plain,( 72.37/71.54 ( ! [X0:ty,X1:uni] : (witness(X0) = match_bool(X0,false,X1,witness(X0))) )), 72.37/71.54 inference(resolution,[],[f221,f176])). 72.37/71.54 tff(f579,plain,( 72.37/71.54 ( ! [X6:uni,X4:bool,X2:ty,X5:uni,X3:uni] : (match_bool(X2,X4,X5,X6) = match_bool(X2,false,X3,match_bool(X2,X4,X5,X6))) )), 72.37/71.54 inference(resolution,[],[f221,f229])). 72.37/71.54 tff(f580,plain,( 72.37/71.54 ( ! [X12:uni,X10:uni,X8:uni,X7:ty,X11:uni,X9:ty] : (match_bool(X7,false,X8,match_list(X7,X9,X10,X11,X12)) = match_list(X7,X9,X10,X11,X12)) )), 72.37/71.54 inference(resolution,[],[f221,f239])). 72.37/71.54 tff(f581,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni,X13:ty] : (match_bool(X13,false,X14,cons_proj_1(X13,X15)) = cons_proj_1(X13,X15)) )), 72.37/71.54 inference(resolution,[],[f221,f192])). 72.37/71.54 tff(f582,plain,( 72.37/71.54 ( ! [X21:uni,X19:uni,X17:uni,X20:uni,X18:ty,X16:ty] : (match_bool(X16,false,X17,match_option(X16,X18,X19,X20,X21)) = match_option(X16,X18,X19,X20,X21)) )), 72.37/71.54 inference(resolution,[],[f221,f238])). 72.37/71.54 tff(f583,plain,( 72.37/71.54 ( ! [X24:uni,X23:uni,X22:ty] : (match_bool(X22,false,X23,some_proj_1(X22,X24)) = some_proj_1(X22,X24)) )), 72.37/71.54 inference(resolution,[],[f221,f193])). 72.37/71.54 tff(f584,plain,( 72.37/71.54 ( ! [X26:uni,X27:uni,X25:ty] : (match_bool(list(X25),false,X26,X27) = X27) )), 72.37/71.54 inference(resolution,[],[f221,f416])). 72.37/71.54 tff(f585,plain,( 72.37/71.54 ( ! [X28:ty,X29:uni] : (match_bool(option(X28),false,X29,none(X28)) = none(X28)) )), 72.37/71.54 inference(resolution,[],[f221,f185])). 72.37/71.54 tff(f586,plain,( 72.37/71.54 ( ! [X30:ty,X31:uni,X32:uni] : (match_bool(option(X30),false,X31,some(X30,X32)) = some(X30,X32)) )), 72.37/71.54 inference(resolution,[],[f221,f195])). 72.37/71.54 tff(f587,plain,( 72.37/71.54 ( ! [X35:$int,X33:ty,X36:uni,X34:uni] : (match_bool(option(X33),false,X34,nth(X33,X35,X36)) = nth(X33,X35,X36)) )), 72.37/71.54 inference(resolution,[],[f221,f215])). 72.37/71.54 tff(f588,plain,( 72.37/71.54 ( ! [X37:uni,X38:option_a1] : (match_bool(option(a1),false,X37,t2tb4(X38)) = t2tb4(X38)) )), 72.37/71.54 inference(resolution,[],[f221,f182])). 72.37/71.54 tff(f589,plain,( 72.37/71.54 ( ! [X39:uni,X40:a] : (match_bool(a1,false,X39,t2tb(X40)) = t2tb(X40)) )), 72.37/71.54 inference(resolution,[],[f221,f177])). 72.37/71.54 tff(f605,plain,( 72.37/71.54 ( ! [X2:uni,X0:bool,X3:bool,X1:ty] : (witness(X1) = match_bool(X1,X0,witness(X1),X2) | X0 = X3 | true = X3) )), 72.37/71.54 inference(superposition,[],[f566,f327])). 72.37/71.54 tff(f610,plain,( 72.37/71.54 ( ! [X2:uni,X0:bool,X3:bool,X1:a] : (match_bool(a1,X0,t2tb(X1),X2) = t2tb(X1) | X0 = X3 | true = X3) )), 72.37/71.54 inference(superposition,[],[f577,f327])). 72.37/71.54 tff(f616,plain,( 72.37/71.54 mem(a1,t2tb(sK2),t2tb3(sK1)) | ~sort(a1,t2tb(sK2)) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f259,f368])). 72.37/71.54 tff(f617,plain,( 72.37/71.54 mem(a1,t2tb(sK4),t2tb3(sK3)) | ~sort(a1,t2tb(sK4)) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f259,f360])). 72.37/71.54 tff(f618,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK0)) | ~sort(a1,t2tb(sK6)) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f259,f352])). 72.37/71.54 tff(f619,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK8)) | ~sort(a1,t2tb(sK6)) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f259,f376])). 72.37/71.54 tff(f624,plain,( 72.37/71.54 spl14_57 <=> ~sort(a1,t2tb(sK2))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_57])])). 72.37/71.54 tff(f625,plain,( 72.37/71.54 ~sort(a1,t2tb(sK2)) | ~spl14_57), 72.37/71.54 inference(avatar_component_clause,[],[f624])). 72.37/71.54 tff(f630,plain,( 72.37/71.54 spl14_58 <=> mem(a1,t2tb(sK2),t2tb3(sK1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_58])])). 72.37/71.54 tff(f631,plain,( 72.37/71.54 mem(a1,t2tb(sK2),t2tb3(sK1)) | ~spl14_58), 72.37/71.54 inference(avatar_component_clause,[],[f630])). 72.37/71.54 tff(f632,plain,( 72.37/71.54 ~spl14_57 | spl14_58 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f616,f367,f630,f624])). 72.37/71.54 tff(f637,plain,( 72.37/71.54 spl14_61 <=> ~sort(a1,t2tb(sK4))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_61])])). 72.37/71.54 tff(f638,plain,( 72.37/71.54 ~sort(a1,t2tb(sK4)) | ~spl14_61), 72.37/71.54 inference(avatar_component_clause,[],[f637])). 72.37/71.54 tff(f643,plain,( 72.37/71.54 spl14_62 <=> mem(a1,t2tb(sK4),t2tb3(sK3))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_62])])). 72.37/71.54 tff(f644,plain,( 72.37/71.54 mem(a1,t2tb(sK4),t2tb3(sK3)) | ~spl14_62), 72.37/71.54 inference(avatar_component_clause,[],[f643])). 72.37/71.54 tff(f645,plain,( 72.37/71.54 ~spl14_61 | spl14_62 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f617,f359,f643,f637])). 72.37/71.54 tff(f650,plain,( 72.37/71.54 spl14_65 <=> ~sort(a1,t2tb(sK6))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_65])])). 72.37/71.54 tff(f651,plain,( 72.37/71.54 ~sort(a1,t2tb(sK6)) | ~spl14_65), 72.37/71.54 inference(avatar_component_clause,[],[f650])). 72.37/71.54 tff(f656,plain,( 72.37/71.54 spl14_66 <=> mem(a1,t2tb(sK6),t2tb3(sK0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_66])])). 72.37/71.54 tff(f657,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK0)) | ~spl14_66), 72.37/71.54 inference(avatar_component_clause,[],[f656])). 72.37/71.54 tff(f658,plain,( 72.37/71.54 ~spl14_65 | spl14_66 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f618,f351,f656,f650])). 72.37/71.54 tff(f660,plain,( 72.37/71.54 spl14_69 <=> ~mem(a1,t2tb(sK6),t2tb3(sK8))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_69])])). 72.37/71.54 tff(f663,plain,( 72.37/71.54 spl14_68 <=> mem(a1,t2tb(sK6),t2tb3(sK8))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_68])])). 72.37/71.54 tff(f664,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK8)) | ~spl14_68), 72.37/71.54 inference(avatar_component_clause,[],[f663])). 72.37/71.54 tff(f665,plain,( 72.37/71.54 ~spl14_65 | spl14_68 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f619,f375,f663,f650])). 72.37/71.54 tff(f666,plain,( 72.37/71.54 $false | ~spl14_57), 72.37/71.54 inference(resolution,[],[f625,f177])). 72.37/71.54 tff(f667,plain,( 72.37/71.54 spl14_57), 72.37/71.54 inference(avatar_contradiction_clause,[],[f666])). 72.37/71.54 tff(f668,plain,( 72.37/71.54 $false | ~spl14_61), 72.37/71.54 inference(resolution,[],[f638,f177])). 72.37/71.54 tff(f669,plain,( 72.37/71.54 spl14_61), 72.37/71.54 inference(avatar_contradiction_clause,[],[f668])). 72.37/71.54 tff(f670,plain,( 72.37/71.54 $false | ~spl14_65), 72.37/71.54 inference(resolution,[],[f651,f177])). 72.37/71.54 tff(f671,plain,( 72.37/71.54 spl14_65), 72.37/71.54 inference(avatar_contradiction_clause,[],[f670])). 72.37/71.54 tff(f675,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni,X13:ty] : (cons_proj_1(X13,X14) = cons_proj_1(X13,cons(X13,cons_proj_1(X13,X14),X15))) )), 72.37/71.54 inference(resolution,[],[f222,f192])). 72.37/71.54 tff(f683,plain,( 72.37/71.54 ( ! [X39:a,X40:uni] : (cons_proj_1(a1,cons(a1,t2tb(X39),X40)) = t2tb(X39)) )), 72.37/71.54 inference(resolution,[],[f222,f177])). 72.37/71.54 tff(f706,plain,( 72.37/71.54 ( ! [X2:uni,X0:bool,X3:bool,X1:ty] : (match_bool(option(X1),X0,none(X1),X2) = none(X1) | X0 = X3 | true = X3) )), 72.37/71.54 inference(superposition,[],[f573,f327])). 72.37/71.54 tff(f711,plain,( 72.37/71.54 ( ! [X2:uni,X0:bool,X3:bool,X1:option_a1] : (match_bool(option(a1),X0,t2tb4(X1),X2) = t2tb4(X1) | X0 = X3 | true = X3) )), 72.37/71.54 inference(superposition,[],[f576,f327])). 72.37/71.54 tff(f741,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK1)) = t2tb(sK2) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f683,f368])). 72.37/71.54 tff(f742,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK3)) = t2tb(sK4) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f683,f360])). 72.37/71.54 tff(f743,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK0)) = t2tb(sK6) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f683,f352])). 72.37/71.54 tff(f744,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK8)) = t2tb(sK6) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f683,f376])). 72.37/71.54 tff(f751,plain,( 72.37/71.54 spl14_70 <=> cons_proj_1(a1,t2tb3(sK1)) = t2tb(sK2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_70])])). 72.37/71.54 tff(f753,plain,( 72.37/71.54 spl14_70 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f741,f367,f751])). 72.37/71.54 tff(f758,plain,( 72.37/71.54 spl14_72 <=> cons_proj_1(a1,t2tb3(sK3)) = t2tb(sK4)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_72])])). 72.37/71.54 tff(f760,plain,( 72.37/71.54 spl14_72 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f742,f359,f758])). 72.37/71.54 tff(f765,plain,( 72.37/71.54 spl14_74 <=> cons_proj_1(a1,t2tb3(sK0)) = t2tb(sK6)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_74])])). 72.37/71.54 tff(f767,plain,( 72.37/71.54 spl14_74 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f743,f351,f765])). 72.37/71.54 tff(f772,plain,( 72.37/71.54 spl14_76 <=> cons_proj_1(a1,t2tb3(sK8)) = t2tb(sK6)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_76])])). 72.37/71.54 tff(f773,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK8)) = t2tb(sK6) | ~spl14_76), 72.37/71.54 inference(avatar_component_clause,[],[f772])). 72.37/71.54 tff(f774,plain,( 72.37/71.54 spl14_76 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f744,f375,f772])). 72.37/71.54 tff(f775,plain,( 72.37/71.54 ( ! [X0:uni] : (mem(a1,X0,t2tb3(sK7)) | ~mem(a1,X0,t2tb3(sK11))) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f235,f344])). 72.37/71.54 tff(f777,plain,( 72.37/71.54 ( ! [X6:uni,X4:ty,X5:uni] : (mem(X4,X6,X5) | ~mem(X4,X6,nil(X4))) )), 72.37/71.54 inference(superposition,[],[f235,f198])). 72.37/71.54 tff(f786,plain,( 72.37/71.54 ( ! [X0:uni] : (mem(a1,X0,t2tb3(sK7)) | ~mem(a1,X0,t2tb3(sK8))) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f236,f344])). 72.37/71.54 tff(f790,plain,( 72.37/71.54 some(a1,t2tb(sK2)) = nth(a1,0,t2tb3(sK1)) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f242,f368])). 72.37/71.54 tff(f791,plain,( 72.37/71.54 some(a1,t2tb(sK4)) = nth(a1,0,t2tb3(sK3)) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f242,f360])). 72.37/71.54 tff(f792,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK0)) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f242,f352])). 72.37/71.54 tff(f793,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK8)) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f242,f376])). 72.37/71.54 tff(f799,plain,( 72.37/71.54 spl14_78 <=> some(a1,t2tb(sK2)) = nth(a1,0,t2tb3(sK1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_78])])). 72.37/71.54 tff(f801,plain,( 72.37/71.54 spl14_78 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f790,f367,f799])). 72.37/71.54 tff(f806,plain,( 72.37/71.54 spl14_80 <=> some(a1,t2tb(sK4)) = nth(a1,0,t2tb3(sK3))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_80])])). 72.37/71.54 tff(f808,plain,( 72.37/71.54 spl14_80 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f791,f359,f806])). 72.37/71.54 tff(f813,plain,( 72.37/71.54 spl14_82 <=> some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_82])])). 72.37/71.54 tff(f815,plain,( 72.37/71.54 spl14_82 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f792,f351,f813])). 72.37/71.54 tff(f820,plain,( 72.37/71.54 spl14_84 <=> some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK8))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_84])])). 72.37/71.54 tff(f821,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK8)) | ~spl14_84), 72.37/71.54 inference(avatar_component_clause,[],[f820])). 72.37/71.54 tff(f822,plain,( 72.37/71.54 spl14_84 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f793,f375,f820])). 72.37/71.54 tff(f827,plain,( 72.37/71.54 ( ! [X0:uni] : (tb2t3(infix_plpl(a1,X0,t2tb3(sK10))) != sK0 | length(a1,t2tb3(sK1)) != length(a1,t2tb3(tb2t3(X0)))) )), 72.37/71.54 inference(superposition,[],[f173,f179])). 72.37/71.54 tff(f828,plain,( 72.37/71.54 ( ! [X0:uni] : (tb2t3(infix_plpl(a1,X0,t2tb3(sK10))) != sK0 | length(a1,X0) != length(a1,t2tb3(sK1))) )), 72.37/71.54 inference(forward_demodulation,[],[f827,f179])). 72.37/71.54 tff(f830,plain,( 72.37/71.54 tb2t3(t2tb3(sK10)) != sK0 | length(a1,nil(a1)) != length(a1,t2tb3(sK1))), 72.37/71.54 inference(superposition,[],[f828,f198])). 72.37/71.54 tff(f831,plain,( 72.37/71.54 sK0 != sK10 | length(a1,nil(a1)) != length(a1,t2tb3(sK1))), 72.37/71.54 inference(forward_demodulation,[],[f830,f178])). 72.37/71.54 tff(f832,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) != 0 | sK0 != sK10), 72.37/71.54 inference(forward_demodulation,[],[f831,f505])). 72.37/71.54 tff(f837,plain,( 72.37/71.54 spl14_87 <=> sK0 != sK10), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_87])])). 72.37/71.54 tff(f843,plain,( 72.37/71.54 spl14_89 <=> length(a1,t2tb3(sK1)) != 0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_89])])). 72.37/71.54 tff(f845,plain,( 72.37/71.54 ~spl14_87 | ~spl14_89), 72.37/71.54 inference(avatar_split_clause,[],[f832,f843,f837])). 72.37/71.54 tff(f921,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,cons_proj_1(X1,X2),X3) = cons_proj_1(X1,X2) | X0 = X4 | true = X4) )), 72.37/71.54 inference(superposition,[],[f569,f327])). 72.37/71.54 tff(f933,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,some_proj_1(X1,X2),X3) = some_proj_1(X1,X2) | X0 = X4 | true = X4) )), 72.37/71.54 inference(superposition,[],[f571,f327])). 72.37/71.54 tff(f998,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X1:uni] : (cons(X0,X1,X2) = cons(X0,cons_proj_1(X0,cons(X0,X1,X2)),X2) | nil(X0) = cons(X0,X1,X2)) )), 72.37/71.54 inference(superposition,[],[f203,f216])). 72.37/71.54 tff(f1003,plain,( 72.37/71.54 ( ! [X0:ty,X1:uni] : (some(X0,cons_proj_1(X0,X1)) = nth(X0,0,X1) | nil(X0) = X1) )), 72.37/71.54 inference(superposition,[],[f242,f203])). 72.37/71.54 tff(f1004,plain,( 72.37/71.54 ( ! [X2:ty,X3:uni] : (mem(X2,cons_proj_1(X2,X3),X3) | ~sort(X2,cons_proj_1(X2,X3)) | nil(X2) = X3) )), 72.37/71.54 inference(superposition,[],[f259,f203])). 72.37/71.54 tff(f1010,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X1:uni] : (cons(X0,X1,X2) = cons(X0,cons_proj_1(X0,cons(X0,X1,X2)),X2)) )), 72.37/71.54 inference(global_subsumption,[],[f212,f998])). 72.37/71.54 tff(f1015,plain,( 72.37/71.54 ( ! [X2:ty,X3:uni] : (mem(X2,cons_proj_1(X2,X3),X3) | nil(X2) = X3) )), 72.37/71.54 inference(global_subsumption,[],[f192,f1004])). 72.37/71.54 tff(f1040,plain,( 72.37/71.54 ( ! [X0:uni] : (cons(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK3),X0)) = infix_plpl(a1,t2tb3(sK1),X0)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f199,f368])). 72.37/71.54 tff(f1041,plain,( 72.37/71.54 ( ! [X1:uni] : (cons(a1,t2tb(sK4),infix_plpl(a1,t2tb3(sK5),X1)) = infix_plpl(a1,t2tb3(sK3),X1)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f199,f360])). 72.37/71.54 tff(f1042,plain,( 72.37/71.54 ( ! [X2:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X2)) = infix_plpl(a1,t2tb3(sK0),X2)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f199,f352])). 72.37/71.54 tff(f1043,plain,( 72.37/71.54 ( ! [X3:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK10),X3)) = infix_plpl(a1,t2tb3(sK8),X3)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f199,f376])). 72.37/71.54 tff(f1044,plain,( 72.37/71.54 ( ! [X6:uni,X4:ty,X5:uni] : (cons(X4,cons_proj_1(X4,X5),infix_plpl(X4,cons_proj_2(X4,X5),X6)) = infix_plpl(X4,X5,X6) | nil(X4) = X5) )), 72.37/71.54 inference(superposition,[],[f199,f203])). 72.37/71.54 tff(f1046,plain,( 72.37/71.54 ( ! [X0:uni,X1:uni] : (tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK10)))) != sK0 | length(a1,t2tb3(sK1)) != length(a1,cons(a1,X0,X1))) )), 72.37/71.54 inference(superposition,[],[f828,f199])). 72.37/71.54 tff(f1048,plain,( 72.37/71.54 ( ! [X6:uni,X8:uni,X7:uni,X5:ty,X9:uni] : (mem(X5,X9,cons(X5,X6,infix_plpl(X5,X7,X8))) | ~mem(X5,X9,X8)) )), 72.37/71.54 inference(superposition,[],[f236,f199])). 72.37/71.54 tff(f1049,plain,( 72.37/71.54 ( ! [X14:uni,X12:uni,X10:ty,X13:uni,X11:uni] : (mem(X10,X14,cons(X10,X11,infix_plpl(X10,X12,X13))) | ~mem(X10,X14,cons(X10,X11,X12))) )), 72.37/71.54 inference(superposition,[],[f235,f199])). 72.37/71.54 tff(f1051,plain,( 72.37/71.54 ( ! [X0:uni] : (cons_proj_1(a1,infix_plpl(a1,t2tb3(sK1),X0)) = t2tb(sK2)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f683,f1040])). 72.37/71.54 tff(f1054,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK1),X4)) | ~sort(a1,t2tb(sK2))) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f259,f1040])). 72.37/71.54 tff(f1055,plain,( 72.37/71.54 ( ! [X5:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK1),X5)) = infix_plpl(a1,t2tb3(sK3),X5)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f216,f1040])). 72.37/71.54 tff(f1059,plain,( 72.37/71.54 spl14_90 <=> ! [X4 : uni] : mem(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK1),X4))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_90])])). 72.37/71.54 tff(f1060,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK2),infix_plpl(a1,t2tb3(sK1),X4))) ) | ~spl14_90), 72.37/71.54 inference(avatar_component_clause,[],[f1059])). 72.37/71.54 tff(f1061,plain,( 72.37/71.54 ~spl14_57 | spl14_90 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f1054,f367,f1059,f624])). 72.37/71.54 tff(f1073,plain,( 72.37/71.54 ( ! [X2:uni,X1:ty] : (none(X1) = some(X1,X2) | some(X1,X2) = some(X1,some_proj_1(X1,some(X1,X2)))) )), 72.37/71.54 inference(resolution,[],[f209,f195])). 72.37/71.54 tff(f1075,plain,( 72.37/71.54 ( ! [X6:option_a1] : (some(a1,some_proj_1(a1,t2tb4(X6))) = t2tb4(X6) | none(a1) = t2tb4(X6)) )), 72.37/71.54 inference(resolution,[],[f209,f182])). 72.37/71.54 tff(f1082,plain,( 72.37/71.54 ( ! [X2:uni,X1:ty] : (some(X1,X2) = some(X1,some_proj_1(X1,some(X1,X2)))) )), 72.37/71.54 inference(global_subsumption,[],[f194,f1073])). 72.37/71.54 tff(f1091,plain,( 72.37/71.54 ( ! [X0:uni] : (cons_proj_1(a1,infix_plpl(a1,t2tb3(sK3),X0)) = t2tb(sK4)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f683,f1041])). 72.37/71.54 tff(f1094,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK4),infix_plpl(a1,t2tb3(sK3),X4)) | ~sort(a1,t2tb(sK4))) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f259,f1041])). 72.37/71.54 tff(f1095,plain,( 72.37/71.54 ( ! [X5:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK3),X5)) = infix_plpl(a1,t2tb3(sK5),X5)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f216,f1041])). 72.37/71.54 tff(f1099,plain,( 72.37/71.54 spl14_92 <=> ! [X4 : uni] : mem(a1,t2tb(sK4),infix_plpl(a1,t2tb3(sK3),X4))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_92])])). 72.37/71.54 tff(f1100,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK4),infix_plpl(a1,t2tb3(sK3),X4))) ) | ~spl14_92), 72.37/71.54 inference(avatar_component_clause,[],[f1099])). 72.37/71.54 tff(f1101,plain,( 72.37/71.54 ~spl14_61 | spl14_92 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f1094,f359,f1099,f637])). 72.37/71.54 tff(f1103,plain,( 72.37/71.54 ( ! [X0:uni] : (infix_plpl(a1,t2tb3(sK7),X0) = infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK8),X0))) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f230,f344])). 72.37/71.54 tff(f1112,plain,( 72.37/71.54 ( ! [X14:uni,X12:uni,X10:ty,X13:uni,X11:uni] : (mem(X10,X14,infix_plpl(X10,X11,infix_plpl(X10,X12,X13))) | ~mem(X10,X14,infix_plpl(X10,X11,X12))) )), 72.37/71.54 inference(superposition,[],[f235,f230])). 72.37/71.54 tff(f1142,plain,( 72.37/71.54 ( ! [X10:uni,X8:uni,X7:ty,X11:uni,X9:uni] : (mem(X7,X11,cons(X7,X8,X9)) | ~mem(X7,X11,cons(X7,X8,infix_plpl(X7,X9,X10))) | mem(X7,X11,X10)) )), 72.37/71.54 inference(superposition,[],[f237,f199])). 72.37/71.54 tff(f1148,plain,( 72.37/71.54 ( ! [X0:uni] : (cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X0)) = t2tb(sK6)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f683,f1042])). 72.37/71.54 tff(f1151,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK0),X4)) | ~sort(a1,t2tb(sK6))) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f259,f1042])). 72.37/71.54 tff(f1152,plain,( 72.37/71.54 ( ! [X5:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK0),X5)) = infix_plpl(a1,t2tb3(sK7),X5)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f216,f1042])). 72.37/71.54 tff(f1158,plain,( 72.37/71.54 spl14_94 <=> ! [X4 : uni] : mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK0),X4))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_94])])). 72.37/71.54 tff(f1159,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK0),X4))) ) | ~spl14_94), 72.37/71.54 inference(avatar_component_clause,[],[f1158])). 72.37/71.54 tff(f1160,plain,( 72.37/71.54 ~spl14_65 | spl14_94 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f1151,f351,f1158,f650])). 72.37/71.54 tff(f1173,plain,( 72.37/71.54 ( ! [X0:$int,X1:$int] : (length(a1,t2tb3(sK5)) != X0 | none(a1) = nth(a1,X1,t2tb3(sK11)) | $less(X1,X0)) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f254,f281])). 72.37/71.54 tff(f1175,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X1:$int] : ($less(X1,length(X0,X2)) | none(X0) = nth(X0,X1,X2)) )), 72.37/71.54 inference(equality_resolution,[],[f254])). 72.37/71.54 tff(f1184,plain,( 72.37/71.54 ( ! [X0:uni] : (cons_proj_1(a1,infix_plpl(a1,t2tb3(sK8),X0)) = t2tb(sK6)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f683,f1043])). 72.37/71.54 tff(f1187,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK8),X4)) | ~sort(a1,t2tb(sK6))) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f259,f1043])). 72.37/71.54 tff(f1188,plain,( 72.37/71.54 ( ! [X5:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK8),X5)) = infix_plpl(a1,t2tb3(sK10),X5)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f216,f1043])). 72.37/71.54 tff(f1194,plain,( 72.37/71.54 spl14_96 <=> ! [X4 : uni] : mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK8),X4))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_96])])). 72.37/71.54 tff(f1195,plain,( 72.37/71.54 ( ! [X4:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK8),X4))) ) | ~spl14_96), 72.37/71.54 inference(avatar_component_clause,[],[f1194])). 72.37/71.54 tff(f1196,plain,( 72.37/71.54 ~spl14_65 | spl14_96 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f1187,f375,f1194,f650])). 72.37/71.54 tff(f1198,plain,( 72.37/71.54 ( ! [X2:$int,X1:$int] : (length(a1,t2tb3(sK1)) != X2 | tb2t4(some(a1,t2tb(sK6))) = tb2t4(nth(a1,X1,t2tb3(sK0))) | $sum(X2,-1) != X1) ) | ~spl14_0), 72.37/71.54 inference(forward_demodulation,[],[f260,f267])). 72.37/71.54 tff(f1217,plain,( 72.37/71.54 ( ! [X0:$int] : ($sum(length(a1,t2tb3(sK1)),-1) != X0 | tb2t4(some(a1,t2tb(sK6))) = tb2t4(nth(a1,X0,t2tb3(sK0)))) ) | ~spl14_0), 72.37/71.54 inference(equality_resolution,[],[f1198])). 72.37/71.54 tff(f1233,plain,( 72.37/71.54 ( ! [X0:uni] : (mem(a1,X0,t2tb3(sK1)) | ~mem(a1,X0,t2tb3(sK3)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X0)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f205,f368])). 72.37/71.54 tff(f1234,plain,( 72.37/71.54 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK3)) | ~mem(a1,X1,t2tb3(sK5)) | ~sort(a1,t2tb(sK4)) | ~sort(a1,X1)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f205,f360])). 72.37/71.54 tff(f1235,plain,( 72.37/71.54 ( ! [X2:uni] : (mem(a1,X2,t2tb3(sK0)) | ~mem(a1,X2,t2tb3(sK7)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X2)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f205,f352])). 72.37/71.54 tff(f1236,plain,( 72.37/71.54 ( ! [X3:uni] : (mem(a1,X3,t2tb3(sK8)) | ~mem(a1,X3,t2tb3(sK10)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X3)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f205,f376])). 72.37/71.54 tff(f1237,plain,( 72.37/71.54 ( ! [X4:uni,X5:uni] : (mem(a1,X5,infix_plpl(a1,t2tb3(sK1),X4)) | ~mem(a1,X5,infix_plpl(a1,t2tb3(sK3),X4)) | ~sort(a1,t2tb(sK2)) | ~sort(a1,X5)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f205,f1040])). 72.37/71.54 tff(f1238,plain,( 72.37/71.54 ( ! [X6:uni,X7:uni] : (mem(a1,X7,infix_plpl(a1,t2tb3(sK3),X6)) | ~mem(a1,X7,infix_plpl(a1,t2tb3(sK5),X6)) | ~sort(a1,t2tb(sK4)) | ~sort(a1,X7)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f205,f1041])). 72.37/71.54 tff(f1239,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X9)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f205,f1042])). 72.37/71.54 tff(f1240,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (mem(a1,X11,infix_plpl(a1,t2tb3(sK8),X10)) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK10),X10)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X11)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f205,f1043])). 72.37/71.54 tff(f1241,plain,( 72.37/71.54 ( ! [X14:uni,X12:ty,X13:uni] : (~mem(X12,X14,cons_proj_2(X12,X13)) | mem(X12,X14,X13) | ~sort(X12,cons_proj_1(X12,X13)) | ~sort(X12,X14) | nil(X12) = X13) )), 72.37/71.54 inference(superposition,[],[f205,f203])). 72.37/71.54 tff(f1243,plain,( 72.37/71.54 spl14_98 <=> ! [X0 : uni] : (mem(a1,X0,t2tb3(sK1)) | ~sort(a1,X0) | ~mem(a1,X0,t2tb3(sK3)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_98])])). 72.37/71.54 tff(f1245,plain,( 72.37/71.54 ~spl14_57 | spl14_98 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f1233,f367,f1243,f624])). 72.37/71.54 tff(f1247,plain,( 72.37/71.54 spl14_100 <=> ! [X1 : uni] : (mem(a1,X1,t2tb3(sK3)) | ~sort(a1,X1) | ~mem(a1,X1,t2tb3(sK5)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_100])])). 72.37/71.54 tff(f1249,plain,( 72.37/71.54 ~spl14_61 | spl14_100 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f1234,f359,f1247,f637])). 72.37/71.54 tff(f1251,plain,( 72.37/71.54 spl14_102 <=> ! [X2 : uni] : (mem(a1,X2,t2tb3(sK0)) | ~sort(a1,X2) | ~mem(a1,X2,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_102])])). 72.37/71.54 tff(f1253,plain,( 72.37/71.54 ~spl14_65 | spl14_102 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f1235,f351,f1251,f650])). 72.37/71.54 tff(f1255,plain,( 72.37/71.54 spl14_104 <=> ! [X3 : uni] : (mem(a1,X3,t2tb3(sK8)) | ~sort(a1,X3) | ~mem(a1,X3,t2tb3(sK10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_104])])). 72.37/71.54 tff(f1257,plain,( 72.37/71.54 ~spl14_65 | spl14_104 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f1236,f375,f1255,f650])). 72.37/71.54 tff(f1259,plain,( 72.37/71.54 spl14_106 <=> ! [X5 : uni,X4 : uni] : (mem(a1,X5,infix_plpl(a1,t2tb3(sK1),X4)) | ~sort(a1,X5) | ~mem(a1,X5,infix_plpl(a1,t2tb3(sK3),X4)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_106])])). 72.37/71.54 tff(f1261,plain,( 72.37/71.54 ~spl14_57 | spl14_106 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f1237,f367,f1259,f624])). 72.37/71.54 tff(f1263,plain,( 72.37/71.54 spl14_108 <=> ! [X7 : uni,X6 : uni] : (mem(a1,X7,infix_plpl(a1,t2tb3(sK3),X6)) | ~sort(a1,X7) | ~mem(a1,X7,infix_plpl(a1,t2tb3(sK5),X6)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_108])])). 72.37/71.54 tff(f1265,plain,( 72.37/71.54 ~spl14_61 | spl14_108 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f1238,f359,f1263,f637])). 72.37/71.54 tff(f1267,plain,( 72.37/71.54 spl14_110 <=> ! [X9 : uni,X8 : uni] : (mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | ~sort(a1,X9) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_110])])). 72.37/71.54 tff(f1269,plain,( 72.37/71.54 ~spl14_65 | spl14_110 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f1239,f351,f1267,f650])). 72.37/71.54 tff(f1271,plain,( 72.37/71.54 spl14_112 <=> ! [X11 : uni,X10 : uni] : (mem(a1,X11,infix_plpl(a1,t2tb3(sK8),X10)) | ~sort(a1,X11) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK10),X10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_112])])). 72.37/71.54 tff(f1273,plain,( 72.37/71.54 ~spl14_65 | spl14_112 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f1240,f375,f1271,f650])). 72.37/71.54 tff(f1274,plain,( 72.37/71.54 ( ! [X2:$int,X0:$int,X1:uni] : (length(a1,t2tb3(sK5)) != X0 | length(a1,cons(a1,X1,t2tb3(sK11))) != X2 | $sum(1,X0) = X2) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f249,f281])). 72.37/71.54 tff(f1275,plain,( 72.37/71.54 ( ! [X6:$int,X4:$int,X5:uni,X3:ty] : (0 != X4 | length(X3,cons(X3,X5,nil(X3))) != X6 | $sum(1,X4) = X6) )), 72.37/71.54 inference(superposition,[],[f249,f505])). 72.37/71.54 tff(f1276,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:$int,X1:uni] : (length(X0,cons(X0,X1,X2)) != X3 | $sum(1,length(X0,X2)) = X3) )), 72.37/71.54 inference(equality_resolution,[],[f249])). 72.37/71.54 tff(f1288,plain,( 72.37/71.54 ( ! [X2:$int,X0:ty,X1:$int] : (none(X0) != none(X0) | length(X0,nil(X0)) != X2 | ~$less(X1,X2) | $less(X1,0)) )), 72.37/71.54 inference(superposition,[],[f255,f202])). 72.37/71.54 tff(f1307,plain,( 72.37/71.54 ( ! [X2:$int,X0:ty,X1:$int] : (length(X0,nil(X0)) != X2 | ~$less(X1,X2) | $less(X1,0)) )), 72.37/71.54 inference(trivial_inequality_removal,[],[f1288])). 72.37/71.54 tff(f1308,plain,( 72.37/71.54 ( ! [X2:$int,X1:$int] : ($less(X1,0) | ~$less(X1,X2) | 0 != X2) )), 72.37/71.54 inference(forward_demodulation,[],[f1307,f505])). 72.37/71.54 tff(f1311,plain,( 72.37/71.54 ( ! [X8:$int] : (~$less(length(a1,t2tb3(sK7)),X8) | 0 != X8 | length(a1,t2tb3(sK5)) != 0) )), 72.37/71.54 inference(resolution,[],[f1308,f544])). 72.37/71.54 tff(f1316,plain,( 72.37/71.54 ( ! [X0:$int] : ($less(X0,length(a1,t2tb3(sK5))) | none(a1) = nth(a1,X0,t2tb3(sK11))) ) | ~spl14_4), 72.37/71.54 inference(equality_resolution,[],[f1173])). 72.37/71.54 tff(f1318,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X5:uni,X3:ty] : (~sort(X3,X5) | ~mem(X3,X4,X6) | cons(X3,X5,X6) = infix_plpl(X3,sK12(X3,X4,cons(X3,X5,X6)),cons(X3,X4,sK13(X3,X4,cons(X3,X5,X6)))) | ~sort(X3,X4)) )), 72.37/71.54 inference(resolution,[],[f223,f205])). 72.37/71.54 tff(f1323,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK0)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK0)))) = t2tb3(sK0) | ~spl14_66), 72.37/71.54 inference(resolution,[],[f223,f657])). 72.37/71.54 tff(f1324,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK2),t2tb3(sK1)),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),t2tb3(sK1)))) = t2tb3(sK1) | ~spl14_58), 72.37/71.54 inference(resolution,[],[f223,f631])). 72.37/71.54 tff(f1325,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK4),t2tb3(sK3)),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),t2tb3(sK3)))) = t2tb3(sK3) | ~spl14_62), 72.37/71.54 inference(resolution,[],[f223,f644])). 72.37/71.54 tff(f1326,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK8)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK8)))) = t2tb3(sK8) | ~spl14_68), 72.37/71.54 inference(resolution,[],[f223,f664])). 72.37/71.54 tff(f1344,plain,( 72.37/71.54 spl14_114 <=> infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK0)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK0)))) = t2tb3(sK0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_114])])). 72.37/71.54 tff(f1346,plain,( 72.37/71.54 spl14_114 | ~spl14_66), 72.37/71.54 inference(avatar_split_clause,[],[f1323,f656,f1344])). 72.37/71.54 tff(f1351,plain,( 72.37/71.54 spl14_116 <=> infix_plpl(a1,sK12(a1,t2tb(sK2),t2tb3(sK1)),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),t2tb3(sK1)))) = t2tb3(sK1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_116])])). 72.37/71.54 tff(f1353,plain,( 72.37/71.54 spl14_116 | ~spl14_58), 72.37/71.54 inference(avatar_split_clause,[],[f1324,f630,f1351])). 72.37/71.54 tff(f1358,plain,( 72.37/71.54 spl14_118 <=> infix_plpl(a1,sK12(a1,t2tb(sK4),t2tb3(sK3)),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),t2tb3(sK3)))) = t2tb3(sK3)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_118])])). 72.37/71.54 tff(f1360,plain,( 72.37/71.54 spl14_118 | ~spl14_62), 72.37/71.54 inference(avatar_split_clause,[],[f1325,f643,f1358])). 72.37/71.54 tff(f1365,plain,( 72.37/71.54 spl14_120 <=> infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK8)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK8)))) = t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_120])])). 72.37/71.54 tff(f1367,plain,( 72.37/71.54 spl14_120 | ~spl14_68), 72.37/71.54 inference(avatar_split_clause,[],[f1326,f663,f1365])). 72.37/71.54 tff(f1368,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK11)) | length(a1,t2tb3(sK5)) != length(a1,t2tb3(sK5)) | ~spl14_4), 72.37/71.54 inference(resolution,[],[f1316,f544])). 72.37/71.54 tff(f1369,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK11)) | ~spl14_4), 72.37/71.54 inference(trivial_inequality_removal,[],[f1368])). 72.37/71.54 tff(f1374,plain,( 72.37/71.54 spl14_122 <=> none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_122])])). 72.37/71.54 tff(f1376,plain,( 72.37/71.54 spl14_122 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f1369,f280,f1374])). 72.37/71.54 tff(f1401,plain,( 72.37/71.54 ( ! [X0:uni] : (~mem(a1,X0,t2tb3(sK1)) | mem(a1,X0,t2tb3(sK3)) | t2tb(sK2) = X0 | ~sort(a1,t2tb(sK2)) | ~sort(a1,X0)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f207,f368])). 72.37/71.54 tff(f1402,plain,( 72.37/71.54 ( ! [X1:uni] : (~mem(a1,X1,t2tb3(sK3)) | mem(a1,X1,t2tb3(sK5)) | t2tb(sK4) = X1 | ~sort(a1,t2tb(sK4)) | ~sort(a1,X1)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f207,f360])). 72.37/71.54 tff(f1403,plain,( 72.37/71.54 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK0)) | mem(a1,X2,t2tb3(sK7)) | t2tb(sK6) = X2 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X2)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f207,f352])). 72.37/71.54 tff(f1404,plain,( 72.37/71.54 ( ! [X3:uni] : (~mem(a1,X3,t2tb3(sK8)) | mem(a1,X3,t2tb3(sK10)) | t2tb(sK6) = X3 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X3)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f207,f376])). 72.37/71.54 tff(f1405,plain,( 72.37/71.54 ( ! [X4:uni,X5:uni] : (~mem(a1,X5,infix_plpl(a1,t2tb3(sK1),X4)) | mem(a1,X5,infix_plpl(a1,t2tb3(sK3),X4)) | t2tb(sK2) = X5 | ~sort(a1,t2tb(sK2)) | ~sort(a1,X5)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f207,f1040])). 72.37/71.54 tff(f1406,plain,( 72.37/71.54 ( ! [X6:uni,X7:uni] : (~mem(a1,X7,infix_plpl(a1,t2tb3(sK3),X6)) | mem(a1,X7,infix_plpl(a1,t2tb3(sK5),X6)) | t2tb(sK4) = X7 | ~sort(a1,t2tb(sK4)) | ~sort(a1,X7)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f207,f1041])). 72.37/71.54 tff(f1407,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)) | t2tb(sK6) = X9 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X9)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f207,f1042])). 72.37/71.54 tff(f1408,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (~mem(a1,X11,infix_plpl(a1,t2tb3(sK8),X10)) | mem(a1,X11,infix_plpl(a1,t2tb3(sK10),X10)) | t2tb(sK6) = X11 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X11)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f207,f1043])). 72.37/71.54 tff(f1409,plain,( 72.37/71.54 ( ! [X14:uni,X12:ty,X13:uni] : (mem(X12,X14,cons_proj_2(X12,X13)) | ~mem(X12,X14,X13) | cons_proj_1(X12,X13) = X14 | ~sort(X12,cons_proj_1(X12,X13)) | ~sort(X12,X14) | nil(X12) = X13) )), 72.37/71.54 inference(superposition,[],[f207,f203])). 72.37/71.54 tff(f1413,plain,( 72.37/71.54 spl14_124 <=> ! [X0 : uni] : (~mem(a1,X0,t2tb3(sK1)) | ~sort(a1,X0) | t2tb(sK2) = X0 | mem(a1,X0,t2tb3(sK3)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_124])])). 72.37/71.54 tff(f1415,plain,( 72.37/71.54 ~spl14_57 | spl14_124 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f1401,f367,f1413,f624])). 72.37/71.54 tff(f1417,plain,( 72.37/71.54 spl14_126 <=> ! [X1 : uni] : (~mem(a1,X1,t2tb3(sK3)) | ~sort(a1,X1) | t2tb(sK4) = X1 | mem(a1,X1,t2tb3(sK5)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_126])])). 72.37/71.54 tff(f1419,plain,( 72.37/71.54 ~spl14_61 | spl14_126 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f1402,f359,f1417,f637])). 72.37/71.54 tff(f1421,plain,( 72.37/71.54 spl14_128 <=> ! [X2 : uni] : (~mem(a1,X2,t2tb3(sK0)) | ~sort(a1,X2) | t2tb(sK6) = X2 | mem(a1,X2,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_128])])). 72.37/71.54 tff(f1423,plain,( 72.37/71.54 ~spl14_65 | spl14_128 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f1403,f351,f1421,f650])). 72.37/71.54 tff(f1425,plain,( 72.37/71.54 spl14_130 <=> ! [X3 : uni] : (~mem(a1,X3,t2tb3(sK8)) | ~sort(a1,X3) | t2tb(sK6) = X3 | mem(a1,X3,t2tb3(sK10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_130])])). 72.37/71.54 tff(f1427,plain,( 72.37/71.54 ~spl14_65 | spl14_130 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f1404,f375,f1425,f650])). 72.37/71.54 tff(f1429,plain,( 72.37/71.54 spl14_132 <=> ! [X5 : uni,X4 : uni] : (~mem(a1,X5,infix_plpl(a1,t2tb3(sK1),X4)) | ~sort(a1,X5) | t2tb(sK2) = X5 | mem(a1,X5,infix_plpl(a1,t2tb3(sK3),X4)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_132])])). 72.37/71.54 tff(f1431,plain,( 72.37/71.54 ~spl14_57 | spl14_132 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f1405,f367,f1429,f624])). 72.37/71.54 tff(f1433,plain,( 72.37/71.54 spl14_134 <=> ! [X7 : uni,X6 : uni] : (~mem(a1,X7,infix_plpl(a1,t2tb3(sK3),X6)) | ~sort(a1,X7) | t2tb(sK4) = X7 | mem(a1,X7,infix_plpl(a1,t2tb3(sK5),X6)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_134])])). 72.37/71.54 tff(f1435,plain,( 72.37/71.54 ~spl14_61 | spl14_134 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f1406,f359,f1433,f637])). 72.37/71.54 tff(f1437,plain,( 72.37/71.54 spl14_136 <=> ! [X9 : uni,X8 : uni] : (~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | ~sort(a1,X9) | t2tb(sK6) = X9 | mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_136])])). 72.37/71.54 tff(f1439,plain,( 72.37/71.54 ~spl14_65 | spl14_136 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f1407,f351,f1437,f650])). 72.37/71.54 tff(f1441,plain,( 72.37/71.54 spl14_138 <=> ! [X11 : uni,X10 : uni] : (~mem(a1,X11,infix_plpl(a1,t2tb3(sK8),X10)) | ~sort(a1,X11) | t2tb(sK6) = X11 | mem(a1,X11,infix_plpl(a1,t2tb3(sK10),X10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_138])])). 72.37/71.54 tff(f1443,plain,( 72.37/71.54 ~spl14_65 | spl14_138 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f1408,f375,f1441,f650])). 72.37/71.54 tff(f1531,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK0)) != X0 | none(a1) = nth(a1,X0,t2tb3(sK1))) )), 72.37/71.54 inference(resolution,[],[f1175,f545])). 72.37/71.54 tff(f1532,plain,( 72.37/71.54 ( ! [X2:uni,X1:ty] : (length(X1,X2) != length(a1,t2tb3(sK5)) | none(X1) = nth(X1,length(a1,t2tb3(sK7)),X2)) )), 72.37/71.54 inference(resolution,[],[f1175,f544])). 72.37/71.54 tff(f1535,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK1))), 72.37/71.54 inference(equality_resolution,[],[f1531])). 72.37/71.54 tff(f1540,plain,( 72.37/71.54 spl14_140 <=> none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_140])])). 72.37/71.54 tff(f1541,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK1)) | ~spl14_140), 72.37/71.54 inference(avatar_component_clause,[],[f1540])). 72.37/71.54 tff(f1542,plain,( 72.37/71.54 spl14_140), 72.37/71.54 inference(avatar_split_clause,[],[f1535,f1540])). 72.37/71.54 tff(f1543,plain,( 72.37/71.54 ( ! [X2:$int,X0:$int,X3:$int,X1:uni] : (length(a1,t2tb3(sK5)) != X0 | length(a1,X1) != X2 | length(a1,infix_plpl(a1,X1,t2tb3(sK11))) != X3 | $sum(X2,X0) = X3) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f253,f281])). 72.37/71.54 tff(f1545,plain,( 72.37/71.54 ( ! [X4:$int,X2:$int,X0:ty,X3:uni,X1:uni] : (length(X0,X1) != X2 | length(X0,infix_plpl(X0,X1,X3)) != X4 | $sum(X2,length(X0,X3)) = X4) )), 72.37/71.54 inference(equality_resolution,[],[f253])). 72.37/71.54 tff(f1548,plain,( 72.37/71.54 ( ! [X0:$int] : (none(a1) != none(a1) | length(a1,t2tb3(sK1)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0) | $less(length(a1,t2tb3(sK0)),0)) ) | ~spl14_140), 72.37/71.54 inference(superposition,[],[f255,f1541])). 72.37/71.54 tff(f1550,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK1)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0) | $less(length(a1,t2tb3(sK0)),0)) ) | ~spl14_140), 72.37/71.54 inference(trivial_inequality_removal,[],[f1548])). 72.37/71.54 tff(f1552,plain,( 72.37/71.54 spl14_143 <=> ~$less(length(a1,t2tb3(sK0)),0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_143])])). 72.37/71.54 tff(f1553,plain,( 72.37/71.54 ~$less(length(a1,t2tb3(sK0)),0) | ~spl14_143), 72.37/71.54 inference(avatar_component_clause,[],[f1552])). 72.37/71.54 tff(f1555,plain,( 72.37/71.54 spl14_142 <=> $less(length(a1,t2tb3(sK0)),0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_142])])). 72.37/71.54 tff(f1556,plain,( 72.37/71.54 $less(length(a1,t2tb3(sK0)),0) | ~spl14_142), 72.37/71.54 inference(avatar_component_clause,[],[f1555])). 72.37/71.54 tff(f1558,plain,( 72.37/71.54 spl14_144 <=> ! [X0 : $int] : (length(a1,t2tb3(sK1)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_144])])). 72.37/71.54 tff(f1559,plain,( 72.37/71.54 ( ! [X0:$int] : (~$less(length(a1,t2tb3(sK0)),X0) | length(a1,t2tb3(sK1)) != X0) ) | ~spl14_144), 72.37/71.54 inference(avatar_component_clause,[],[f1558])). 72.37/71.54 tff(f1560,plain,( 72.37/71.54 spl14_142 | spl14_144 | ~spl14_140), 72.37/71.54 inference(avatar_split_clause,[],[f1550,f1540,f1558,f1555])). 72.37/71.54 tff(f1562,plain,( 72.37/71.54 ( ! [X2:ty,X3:uni] : (length(X2,X3) != length(a1,t2tb3(sK0))) ) | ~spl14_142), 72.37/71.54 inference(resolution,[],[f1556,f250])). 72.37/71.54 tff(f1564,plain,( 72.37/71.54 length(a1,t2tb3(sK0)) != 0 | ~spl14_142), 72.37/71.54 inference(superposition,[],[f1562,f505])). 72.37/71.54 tff(f1565,plain,( 72.37/71.54 $false | ~spl14_142), 72.37/71.54 inference(equality_resolution,[],[f1562])). 72.37/71.54 tff(f1566,plain,( 72.37/71.54 ~spl14_142), 72.37/71.54 inference(avatar_contradiction_clause,[],[f1565])). 72.37/71.54 tff(f1571,plain,( 72.37/71.54 spl14_147 <=> length(a1,t2tb3(sK0)) != 0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_147])])). 72.37/71.54 tff(f1573,plain,( 72.37/71.54 ~spl14_147 | ~spl14_142), 72.37/71.54 inference(avatar_split_clause,[],[f1564,f1555,f1571])). 72.37/71.54 tff(f1574,plain,( 72.37/71.54 ( ! [X0:$int] : (~$less(length(a1,t2tb3(sK0)),X0) | 0 != X0) ) | ~spl14_143), 72.37/71.54 inference(resolution,[],[f1553,f1308])). 72.37/71.54 tff(f1578,plain,( 72.37/71.54 ( ! [X21:$int,X19:uni,X20:$int,X18:ty] : (nth(X18,X20,X19) = nth(X18,length(a1,t2tb3(sK7)),X19) | ~$less(length(a1,t2tb3(sK7)),X21) | $sum($difference(X21,1),$uminus(length(a1,t2tb3(sK7)))) != X20 | ~pal(X18,X19,X21) | length(a1,t2tb3(sK5)) != 0) )), 72.37/71.54 inference(resolution,[],[f256,f544])). 72.37/71.54 tff(f1581,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != 0 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(resolution,[],[f1574,f1316])). 72.37/71.54 tff(f1582,plain,( 72.37/71.54 ( ! [X6:uni,X5:ty] : (length(X5,X6) != 0 | none(X5) = nth(X5,length(a1,t2tb3(sK0)),X6)) ) | ~spl14_143), 72.37/71.54 inference(resolution,[],[f1574,f1175])). 72.37/71.54 tff(f1587,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK5)) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | (~spl14_4 | ~spl14_144)), 72.37/71.54 inference(resolution,[],[f1559,f1316])). 72.37/71.54 tff(f1588,plain,( 72.37/71.54 ( ! [X6:uni,X5:ty] : (length(X5,X6) != length(a1,t2tb3(sK1)) | none(X5) = nth(X5,length(a1,t2tb3(sK0)),X6)) ) | ~spl14_144), 72.37/71.54 inference(resolution,[],[f1559,f1175])). 72.37/71.54 tff(f1590,plain,( 72.37/71.54 spl14_149 <=> none(a1) != nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_149])])). 72.37/71.54 tff(f1591,plain,( 72.37/71.54 none(a1) != nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | ~spl14_149), 72.37/71.54 inference(avatar_component_clause,[],[f1590])). 72.37/71.54 tff(f1593,plain,( 72.37/71.54 spl14_148 <=> none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_148])])). 72.37/71.54 tff(f1594,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | ~spl14_148), 72.37/71.54 inference(avatar_component_clause,[],[f1593])). 72.37/71.54 tff(f1599,plain,( 72.37/71.54 spl14_151 <=> length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK5))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_151])])). 72.37/71.54 tff(f1601,plain,( 72.37/71.54 spl14_148 | ~spl14_151 | ~spl14_4 | ~spl14_144), 72.37/71.54 inference(avatar_split_clause,[],[f1587,f1558,f280,f1599,f1593])). 72.37/71.54 tff(f1603,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != 0 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(superposition,[],[f1582,f281])). 72.37/71.54 tff(f1628,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK5))), 72.37/71.54 inference(equality_resolution,[],[f1532])). 72.37/71.54 tff(f1634,plain,( 72.37/71.54 spl14_152 <=> none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK5))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_152])])). 72.37/71.54 tff(f1636,plain,( 72.37/71.54 spl14_152), 72.37/71.54 inference(avatar_split_clause,[],[f1628,f1634])). 72.37/71.54 tff(f1812,plain,( 72.37/71.54 tb2t4(some(a1,t2tb(sK6))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0))) | ~spl14_0), 72.37/71.54 inference(equality_resolution,[],[f1217])). 72.37/71.54 tff(f1817,plain,( 72.37/71.54 spl14_154 <=> tb2t4(some(a1,t2tb(sK6))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_154])])). 72.37/71.54 tff(f1818,plain,( 72.37/71.54 tb2t4(some(a1,t2tb(sK6))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0))) | ~spl14_154), 72.37/71.54 inference(avatar_component_clause,[],[f1817])). 72.37/71.54 tff(f1819,plain,( 72.37/71.54 spl14_154 | ~spl14_0), 72.37/71.54 inference(avatar_split_clause,[],[f1812,f266,f1817])). 72.37/71.54 tff(f1856,plain,( 72.37/71.54 ( ! [X0:uni,X1:$int] : (length(a1,cons(a1,X0,t2tb3(sK11))) != X1 | $sum(1,length(a1,t2tb3(sK5))) = X1) ) | ~spl14_4), 72.37/71.54 inference(equality_resolution,[],[f1274])). 72.37/71.54 tff(f2089,plain,( 72.37/71.54 nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0)) = t2tb4(tb2t4(some(a1,t2tb(sK6)))) | ~spl14_154), 72.37/71.54 inference(superposition,[],[f468,f1818])). 72.37/71.54 tff(f2090,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0)) | ~spl14_154), 72.37/71.54 inference(forward_demodulation,[],[f2089,f467])). 72.37/71.54 tff(f2095,plain,( 72.37/71.54 spl14_156 <=> some(a1,t2tb(sK6)) = nth(a1,$sum(length(a1,t2tb3(sK1)),-1),t2tb3(sK0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_156])])). 72.37/71.54 tff(f2097,plain,( 72.37/71.54 spl14_156 | ~spl14_154), 72.37/71.54 inference(avatar_split_clause,[],[f2090,f1817,f2095])). 72.37/71.54 tff(f2105,plain,( 72.37/71.54 ( ! [X0:uni] : (length(a1,cons(a1,X0,t2tb3(sK11))) = $sum(1,length(a1,t2tb3(sK5)))) ) | ~spl14_4), 72.37/71.54 inference(equality_resolution,[],[f1856])). 72.37/71.54 tff(f2107,plain,( 72.37/71.54 ( ! [X2:uni] : (0 != $sum(1,length(a1,t2tb3(sK5))) | nil(a1) = cons(a1,X2,t2tb3(sK11))) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f211,f2105])). 72.37/71.54 tff(f2113,plain,( 72.37/71.54 ( ! [X21:uni] : (length(a1,t2tb3(sK5)) != $sum(1,length(a1,t2tb3(sK5))) | none(a1) = nth(a1,length(a1,t2tb3(sK7)),cons(a1,X21,t2tb3(sK11)))) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f1532,f2105])). 72.37/71.54 tff(f2114,plain,( 72.37/71.54 ( ! [X22:uni] : (0 != $sum(1,length(a1,t2tb3(sK5))) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X22,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(superposition,[],[f1582,f2105])). 72.37/71.54 tff(f2115,plain,( 72.37/71.54 ( ! [X23:uni] : (length(a1,t2tb3(sK1)) != $sum(1,length(a1,t2tb3(sK5))) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X23,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_144)), 72.37/71.54 inference(superposition,[],[f1588,f2105])). 72.37/71.54 tff(f2116,plain,( 72.37/71.54 ( ! [X22:uni] : (length(a1,t2tb3(sK5)) != $uminus(1) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X22,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(evaluation,[],[f2114])). 72.37/71.54 tff(f2117,plain,( 72.37/71.54 ( ! [X22:uni] : (length(a1,t2tb3(sK5)) != -1 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X22,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(evaluation,[],[f2116])). 72.37/71.54 tff(f2118,plain,( 72.37/71.54 ( ! [X2:uni] : (length(a1,t2tb3(sK5)) != $uminus(1) | nil(a1) = cons(a1,X2,t2tb3(sK11))) ) | ~spl14_4), 72.37/71.54 inference(evaluation,[],[f2107])). 72.37/71.54 tff(f2119,plain,( 72.37/71.54 ( ! [X2:uni] : (length(a1,t2tb3(sK5)) != -1 | nil(a1) = cons(a1,X2,t2tb3(sK11))) ) | ~spl14_4), 72.37/71.54 inference(evaluation,[],[f2118])). 72.37/71.54 tff(f2121,plain,( 72.37/71.54 spl14_158 <=> ! [X2 : uni] : nil(a1) = cons(a1,X2,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_158])])). 72.37/71.54 tff(f2127,plain,( 72.37/71.54 spl14_161 <=> length(a1,t2tb3(sK5)) != -1), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_161])])). 72.37/71.54 tff(f2129,plain,( 72.37/71.54 spl14_158 | ~spl14_161 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f2119,f280,f2127,f2121])). 72.37/71.54 tff(f2132,plain,( 72.37/71.54 spl14_162 <=> ! [X21 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK7)),cons(a1,X21,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_162])])). 72.37/71.54 tff(f2138,plain,( 72.37/71.54 spl14_165 <=> length(a1,t2tb3(sK5)) != $sum(1,length(a1,t2tb3(sK5)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_165])])). 72.37/71.54 tff(f2139,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != $sum(1,length(a1,t2tb3(sK5))) | ~spl14_165), 72.37/71.54 inference(avatar_component_clause,[],[f2138])). 72.37/71.54 tff(f2140,plain,( 72.37/71.54 spl14_162 | ~spl14_165 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f2113,f280,f2138,f2132])). 72.37/71.54 tff(f2142,plain,( 72.37/71.54 spl14_166 <=> ! [X22 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X22,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_166])])). 72.37/71.54 tff(f2144,plain,( 72.37/71.54 spl14_166 | ~spl14_161 | ~spl14_4 | spl14_143), 72.37/71.54 inference(avatar_split_clause,[],[f2117,f1552,f280,f2127,f2142])). 72.37/71.54 tff(f2149,plain,( 72.37/71.54 spl14_169 <=> length(a1,t2tb3(sK1)) != $sum(1,length(a1,t2tb3(sK5)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_169])])). 72.37/71.54 tff(f2150,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) != $sum(1,length(a1,t2tb3(sK5))) | ~spl14_169), 72.37/71.54 inference(avatar_component_clause,[],[f2149])). 72.37/71.54 tff(f2151,plain,( 72.37/71.54 spl14_166 | ~spl14_169 | ~spl14_4 | ~spl14_144), 72.37/71.54 inference(avatar_split_clause,[],[f2115,f1558,f280,f2149,f2142])). 72.37/71.54 tff(f2168,plain,( 72.37/71.54 ( ! [X0:ty,X1:uni] : (cons_proj_1(X0,X1) = some_proj_1(X0,nth(X0,0,X1)) | nil(X0) = X1) )), 72.37/71.54 inference(superposition,[],[f549,f1003])). 72.37/71.54 tff(f2169,plain,( 72.37/71.54 ( ! [X2:ty,X3:uni] : (none(X2) != nth(X2,0,X3) | nil(X2) = X3) )), 72.37/71.54 inference(superposition,[],[f194,f1003])). 72.37/71.54 tff(f2214,plain,( 72.37/71.54 ( ! [X26:uni,X24:ty,X25:uni] : (some(X24,cons_proj_1(X24,cons(X24,X25,X26))) = nth(X24,0,cons(X24,X25,X26))) )), 72.37/71.54 inference(superposition,[],[f242,f1010])). 72.37/71.54 tff(f2228,plain,( 72.37/71.54 ( ! [X26:uni,X24:ty,X25:uni] : (some(X24,X25) = some(X24,cons_proj_1(X24,cons(X24,X25,X26)))) )), 72.37/71.54 inference(forward_demodulation,[],[f2214,f242])). 72.37/71.54 tff(f2239,plain,( 72.37/71.54 ( ! [X4:uni,X5:uni,X3:ty] : (cons_proj_1(X3,cons(X3,X4,X5)) = some_proj_1(X3,some(X3,X4))) )), 72.37/71.54 inference(superposition,[],[f549,f2228])). 72.37/71.54 tff(f2357,plain,( 72.37/71.54 ( ! [X12:uni,X10:uni,X11:uni,X9:ty] : (mem(X9,X11,cons(X9,X12,X10)) | ~mem(X9,X11,X10)) )), 72.37/71.54 inference(superposition,[],[f1048,f198])). 72.37/71.54 tff(f2378,plain,( 72.37/71.54 witness(option(a1)) = some(a1,some_proj_1(a1,witness(option(a1)))) | none(a1) = t2tb4(tb2t4(witness(option(a1)))) | ~spl14_50), 72.37/71.54 inference(superposition,[],[f1075,f488])). 72.37/71.54 tff(f2403,plain,( 72.37/71.54 witness(option(a1)) = none(a1) | witness(option(a1)) = some(a1,some_proj_1(a1,witness(option(a1)))) | ~spl14_50), 72.37/71.54 inference(forward_demodulation,[],[f2378,f488])). 72.37/71.54 tff(f2408,plain,( 72.37/71.54 spl14_170 <=> witness(option(a1)) = some(a1,some_proj_1(a1,witness(option(a1))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_170])])). 72.37/71.54 tff(f2414,plain,( 72.37/71.54 spl14_172 <=> witness(option(a1)) = none(a1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_172])])). 72.37/71.54 tff(f2416,plain,( 72.37/71.54 spl14_170 | spl14_172 | ~spl14_50), 72.37/71.54 inference(avatar_split_clause,[],[f2403,f487,f2414,f2408])). 72.37/71.54 tff(f3102,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK1)) != X0 | $sum(1,length(a1,t2tb3(sK3))) = X0) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f1276,f368])). 72.37/71.54 tff(f3103,plain,( 72.37/71.54 ( ! [X1:$int] : (length(a1,t2tb3(sK3)) != X1 | $sum(1,length(a1,t2tb3(sK5))) = X1) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f1276,f360])). 72.37/71.54 tff(f3104,plain,( 72.37/71.54 ( ! [X2:$int] : (length(a1,t2tb3(sK0)) != X2 | $sum(1,length(a1,t2tb3(sK7))) = X2) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f1276,f352])). 72.37/71.54 tff(f3105,plain,( 72.37/71.54 ( ! [X3:$int] : (length(a1,t2tb3(sK8)) != X3 | $sum(1,length(a1,t2tb3(sK10))) = X3) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f1276,f376])). 72.37/71.54 tff(f3113,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X1:uni] : (length(X0,cons(X0,X2,X1)) = $sum(1,length(X0,X1))) )), 72.37/71.54 inference(equality_resolution,[],[f1276])). 72.37/71.54 tff(f3116,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl14_26), 72.37/71.54 inference(equality_resolution,[],[f3102])). 72.37/71.54 tff(f3121,plain,( 72.37/71.54 spl14_174 <=> length(a1,t2tb3(sK1)) = $sum(1,length(a1,t2tb3(sK3)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_174])])). 72.37/71.54 tff(f3122,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) = $sum(1,length(a1,t2tb3(sK3))) | ~spl14_174), 72.37/71.54 inference(avatar_component_clause,[],[f3121])). 72.37/71.54 tff(f3123,plain,( 72.37/71.54 spl14_174 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f3116,f367,f3121])). 72.37/71.54 tff(f3124,plain,( 72.37/71.54 length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK5))) | ~spl14_24), 72.37/71.54 inference(equality_resolution,[],[f3103])). 72.37/71.54 tff(f3129,plain,( 72.37/71.54 spl14_176 <=> length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK5)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_176])])). 72.37/71.54 tff(f3130,plain,( 72.37/71.54 length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK5))) | ~spl14_176), 72.37/71.54 inference(avatar_component_clause,[],[f3129])). 72.37/71.54 tff(f3131,plain,( 72.37/71.54 spl14_176 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f3124,f359,f3129])). 72.37/71.54 tff(f3132,plain,( 72.37/71.54 length(a1,t2tb3(sK3)) != length(a1,t2tb3(sK5)) | (~spl14_165 | ~spl14_176)), 72.37/71.54 inference(backward_demodulation,[],[f3130,f2139])). 72.37/71.54 tff(f3133,plain,( 72.37/71.54 ( ! [X0:uni] : (length(a1,t2tb3(sK3)) = length(a1,cons(a1,X0,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_176)), 72.37/71.54 inference(backward_demodulation,[],[f3130,f2105])). 72.37/71.54 tff(f3135,plain,( 72.37/71.54 length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK3)) | (~spl14_169 | ~spl14_176)), 72.37/71.54 inference(superposition,[],[f2150,f3130])). 72.37/71.54 tff(f3140,plain,( 72.37/71.54 spl14_179 <=> length(a1,t2tb3(sK3)) != length(a1,t2tb3(sK5))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_179])])). 72.37/71.54 tff(f3142,plain,( 72.37/71.54 ~spl14_179 | spl14_165 | ~spl14_176), 72.37/71.54 inference(avatar_split_clause,[],[f3132,f3129,f2138,f3140])). 72.37/71.54 tff(f3147,plain,( 72.37/71.54 spl14_181 <=> length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK3))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_181])])). 72.37/71.54 tff(f3149,plain,( 72.37/71.54 ~spl14_181 | spl14_169 | ~spl14_176), 72.37/71.54 inference(avatar_split_clause,[],[f3135,f3129,f2149,f3147])). 72.37/71.54 tff(f3197,plain,( 72.37/71.54 ( ! [X2:uni] : (length(a1,t2tb3(sK3)) != 0 | nil(a1) = cons(a1,X2,t2tb3(sK11))) ) | (~spl14_4 | ~spl14_176)), 72.37/71.54 inference(superposition,[],[f211,f3133])). 72.37/71.54 tff(f3204,plain,( 72.37/71.54 ( ! [X22:uni] : (length(a1,t2tb3(sK3)) != 0 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X22,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_143 | ~spl14_176)), 72.37/71.54 inference(superposition,[],[f1582,f3133])). 72.37/71.54 tff(f3211,plain,( 72.37/71.54 spl14_183 <=> length(a1,t2tb3(sK3)) != 0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_183])])). 72.37/71.54 tff(f3213,plain,( 72.37/71.54 spl14_158 | ~spl14_183 | ~spl14_4 | ~spl14_176), 72.37/71.54 inference(avatar_split_clause,[],[f3197,f3129,f280,f3211,f2121])). 72.37/71.54 tff(f3215,plain,( 72.37/71.54 spl14_166 | ~spl14_183 | ~spl14_4 | spl14_143 | ~spl14_176), 72.37/71.54 inference(avatar_split_clause,[],[f3204,f3129,f1552,f280,f3211,f2142])). 72.37/71.54 tff(f3247,plain,( 72.37/71.54 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK7))) | ~spl14_22), 72.37/71.54 inference(equality_resolution,[],[f3104])). 72.37/71.54 tff(f3252,plain,( 72.37/71.54 spl14_184 <=> length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_184])])). 72.37/71.54 tff(f3253,plain,( 72.37/71.54 length(a1,t2tb3(sK0)) = $sum(1,length(a1,t2tb3(sK7))) | ~spl14_184), 72.37/71.54 inference(avatar_component_clause,[],[f3252])). 72.37/71.54 tff(f3254,plain,( 72.37/71.54 spl14_184 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f3247,f351,f3252])). 72.37/71.54 tff(f3255,plain,( 72.37/71.54 length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK10))) | ~spl14_28), 72.37/71.54 inference(equality_resolution,[],[f3105])). 72.37/71.54 tff(f3260,plain,( 72.37/71.54 spl14_186 <=> length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_186])])). 72.37/71.54 tff(f3261,plain,( 72.37/71.54 length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK10))) | ~spl14_186), 72.37/71.54 inference(avatar_component_clause,[],[f3260])). 72.37/71.54 tff(f3262,plain,( 72.37/71.54 spl14_186 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f3255,f375,f3260])). 72.37/71.54 tff(f3916,plain,( 72.37/71.54 ( ! [X1:uni] : (length(a1,infix_plpl(a1,t2tb3(sK3),X1)) = $sum(1,length(a1,infix_plpl(a1,t2tb3(sK5),X1)))) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f3113,f1041])). 72.37/71.54 tff(f3925,plain,( 72.37/71.54 ( ! [X8:uni,X7:ty,X9:uni] : (0 != $sum(1,length(X7,X9)) | nil(X7) = cons(X7,X8,X9)) )), 72.37/71.54 inference(superposition,[],[f211,f3113])). 72.37/71.54 tff(f3932,plain,( 72.37/71.54 ( ! [X43:uni,X41:ty,X42:uni] : (0 != $sum(1,length(X41,X43)) | none(X41) = nth(X41,length(a1,t2tb3(sK0)),cons(X41,X42,X43))) ) | ~spl14_143), 72.37/71.54 inference(superposition,[],[f1582,f3113])). 72.37/71.54 tff(f3934,plain,( 72.37/71.54 ( ! [X43:uni,X41:ty,X42:uni] : (length(X41,X43) != $uminus(1) | none(X41) = nth(X41,length(a1,t2tb3(sK0)),cons(X41,X42,X43))) ) | ~spl14_143), 72.37/71.54 inference(evaluation,[],[f3932])). 72.37/71.54 tff(f3935,plain,( 72.37/71.54 ( ! [X43:uni,X41:ty,X42:uni] : (length(X41,X43) != -1 | none(X41) = nth(X41,length(a1,t2tb3(sK0)),cons(X41,X42,X43))) ) | ~spl14_143), 72.37/71.54 inference(evaluation,[],[f3934])). 72.37/71.54 tff(f3936,plain,( 72.37/71.54 ( ! [X8:uni,X7:ty,X9:uni] : (length(X7,X9) != $uminus(1) | nil(X7) = cons(X7,X8,X9)) )), 72.37/71.54 inference(evaluation,[],[f3925])). 72.37/71.54 tff(f3937,plain,( 72.37/71.54 ( ! [X8:uni,X7:ty,X9:uni] : (length(X7,X9) != -1 | nil(X7) = cons(X7,X8,X9)) )), 72.37/71.54 inference(evaluation,[],[f3936])). 72.37/71.54 tff(f4415,plain,( 72.37/71.54 ( ! [X54:uni,X55:uni,X53:ty] : (mem(X53,some_proj_1(X53,some(X53,X54)),cons(X53,X54,X55)) | nil(X53) = cons(X53,X54,X55)) )), 72.37/71.54 inference(superposition,[],[f1015,f2239])). 72.37/71.54 tff(f4444,plain,( 72.37/71.54 ( ! [X54:uni,X55:uni,X53:ty] : (mem(X53,some_proj_1(X53,some(X53,X54)),cons(X53,X54,X55))) )), 72.37/71.54 inference(global_subsumption,[],[f212,f4415])). 72.37/71.54 tff(f4454,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni,X13:ty] : (mem(X13,cons_proj_1(X13,X14),cons(X13,cons_proj_1(X13,X14),X15))) )), 72.37/71.54 inference(superposition,[],[f4444,f549])). 72.37/71.54 tff(f4459,plain,( 72.37/71.54 ( ! [X30:ty,X31:uni,X32:uni] : (mem(option(X30),some(X30,X31),cons(option(X30),some(X30,X31),X32))) )), 72.37/71.54 inference(superposition,[],[f4444,f554])). 72.37/71.54 tff(f4619,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X3:uni] : (mem(a1,X3,cons(a1,X4,infix_plpl(a1,t2tb3(sK7),X2))) | ~mem(a1,X3,cons(a1,X4,t2tb3(sK11)))) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f1049,f1103])). 72.37/71.54 tff(f4621,plain,( 72.37/71.54 ( ! [X12:uni,X10:uni,X11:uni,X9:ty] : (mem(X9,X11,cons(X9,X12,X10)) | ~mem(X9,X11,cons(X9,X12,nil(X9)))) )), 72.37/71.54 inference(superposition,[],[f1049,f198])). 72.37/71.54 tff(f4673,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X3:uni] : (mem(a1,X3,infix_plpl(a1,X4,infix_plpl(a1,t2tb3(sK7),X2))) | ~mem(a1,X3,infix_plpl(a1,X4,t2tb3(sK11)))) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f1112,f1103])). 72.37/71.54 tff(f4701,plain,( 72.37/71.54 ( ! [X2:uni,X1:uni] : (length(a1,t2tb3(sK3)) != -1 | nil(a1) = cons(a1,X2,cons(a1,X1,t2tb3(sK11)))) ) | (~spl14_4 | ~spl14_176)), 72.37/71.54 inference(superposition,[],[f3937,f3133])). 72.37/71.54 tff(f4707,plain,( 72.37/71.54 spl14_188 <=> ! [X1 : uni,X2 : uni] : nil(a1) = cons(a1,X2,cons(a1,X1,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_188])])). 72.37/71.54 tff(f4713,plain,( 72.37/71.54 spl14_191 <=> length(a1,t2tb3(sK3)) != -1), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_191])])). 72.37/71.54 tff(f4715,plain,( 72.37/71.54 spl14_188 | ~spl14_191 | ~spl14_4 | ~spl14_176), 72.37/71.54 inference(avatar_split_clause,[],[f4701,f3129,f280,f4713,f4707])). 72.37/71.54 tff(f4818,plain,( 72.37/71.54 ( ! [X2:$int,X0:uni,X1:$int] : (length(a1,infix_plpl(a1,X0,t2tb3(sK11))) != X2 | length(a1,X0) != X1 | $sum(X1,length(a1,t2tb3(sK5))) = X2) ) | ~spl14_4), 72.37/71.54 inference(equality_resolution,[],[f1543])). 72.37/71.54 tff(f5728,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X1:uni] : (mem(X0,cons_proj_1(X0,X1),infix_plpl(X0,X1,X2)) | nil(X0) = X1) )), 72.37/71.54 inference(superposition,[],[f4454,f1044])). 72.37/71.54 tff(f5729,plain,( 72.37/71.54 ( ! [X4:uni,X5:uni,X3:ty] : (cons_proj_1(X3,X4) = cons_proj_1(X3,infix_plpl(X3,X4,X5)) | nil(X3) = X4) )), 72.37/71.54 inference(superposition,[],[f675,f1044])). 72.37/71.54 tff(f5736,plain,( 72.37/71.54 ( ! [X30:uni,X28:ty,X29:uni] : (nil(X28) != infix_plpl(X28,X29,X30) | nil(X28) = X29) )), 72.37/71.54 inference(superposition,[],[f212,f1044])). 72.37/71.54 tff(f5809,plain,( 72.37/71.54 ( ! [X39:uni,X37:ty,X38:uni] : (mem(X37,cons_proj_1(X37,X38),infix_plpl(X37,X38,X39)) | nil(X37) = X38) )), 72.37/71.54 inference(global_subsumption,[],[f5728])). 72.37/71.54 tff(f5812,plain,( 72.37/71.54 nil(a1) != t2tb3(sK7) | nil(a1) = t2tb3(sK11) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5736,f344])). 72.37/71.54 tff(f5813,plain,( 72.37/71.54 ( ! [X0:uni] : (nil(a1) != infix_plpl(a1,t2tb3(sK7),X0) | nil(a1) = t2tb3(sK11)) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5736,f1103])). 72.37/71.54 tff(f5819,plain,( 72.37/71.54 spl14_192 <=> nil(a1) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_192])])). 72.37/71.54 tff(f5822,plain,( 72.37/71.54 spl14_193 <=> nil(a1) != t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_193])])). 72.37/71.54 tff(f5824,plain,( 72.37/71.54 spl14_52 | ~spl14_193 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f5812,f343,f5822,f496])). 72.37/71.54 tff(f5826,plain,( 72.37/71.54 spl14_194 <=> ! [X0 : uni] : nil(a1) != infix_plpl(a1,t2tb3(sK7),X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_194])])). 72.37/71.54 tff(f5828,plain,( 72.37/71.54 spl14_52 | spl14_194 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f5813,f343,f5826,f496])). 72.37/71.54 tff(f5829,plain,( 72.37/71.54 length(a1,nil(a1)) = length(a1,t2tb3(sK5)) | (~spl14_4 | ~spl14_52)), 72.37/71.54 inference(backward_demodulation,[],[f497,f281])). 72.37/71.54 tff(f5830,plain,( 72.37/71.54 infix_plpl(a1,nil(a1),t2tb3(sK8)) = t2tb3(sK7) | (~spl14_20 | ~spl14_52)), 72.37/71.54 inference(backward_demodulation,[],[f497,f344])). 72.37/71.54 tff(f5841,plain,( 72.37/71.54 none(a1) != nth(a1,length(a1,t2tb3(sK0)),nil(a1)) | (~spl14_52 | ~spl14_149)), 72.37/71.54 inference(backward_demodulation,[],[f497,f1591])). 72.37/71.54 tff(f5850,plain,( 72.37/71.54 tb2t3(nil(a1)) = sK11 | ~spl14_52), 72.37/71.54 inference(superposition,[],[f178,f497])). 72.37/71.54 tff(f5851,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) = 0 | (~spl14_4 | ~spl14_52)), 72.37/71.54 inference(forward_demodulation,[],[f5829,f505])). 72.37/71.54 tff(f5852,plain,( 72.37/71.54 spl14_54 | ~spl14_4 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5851,f496,f280,f499])). 72.37/71.54 tff(f5854,plain,( 72.37/71.54 spl14_197 <=> infix_plpl(a1,nil(a1),t2tb3(sK8)) != t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_197])])). 72.37/71.54 tff(f5855,plain,( 72.37/71.54 infix_plpl(a1,nil(a1),t2tb3(sK8)) != t2tb3(sK7) | ~spl14_197), 72.37/71.54 inference(avatar_component_clause,[],[f5854])). 72.37/71.54 tff(f5857,plain,( 72.37/71.54 spl14_196 <=> infix_plpl(a1,nil(a1),t2tb3(sK8)) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_196])])). 72.37/71.54 tff(f5858,plain,( 72.37/71.54 infix_plpl(a1,nil(a1),t2tb3(sK8)) = t2tb3(sK7) | ~spl14_196), 72.37/71.54 inference(avatar_component_clause,[],[f5857])). 72.37/71.54 tff(f5859,plain,( 72.37/71.54 spl14_196 | ~spl14_20 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5830,f496,f343,f5857])). 72.37/71.54 tff(f5867,plain,( 72.37/71.54 spl14_199 <=> none(a1) != nth(a1,length(a1,t2tb3(sK0)),nil(a1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_199])])). 72.37/71.54 tff(f5868,plain,( 72.37/71.54 none(a1) != nth(a1,length(a1,t2tb3(sK0)),nil(a1)) | ~spl14_199), 72.37/71.54 inference(avatar_component_clause,[],[f5867])). 72.37/71.54 tff(f5869,plain,( 72.37/71.54 ~spl14_199 | ~spl14_52 | spl14_149), 72.37/71.54 inference(avatar_split_clause,[],[f5841,f1590,f496,f5867])). 72.37/71.54 tff(f5878,plain,( 72.37/71.54 spl14_200 <=> tb2t3(nil(a1)) = sK11), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_200])])). 72.37/71.54 tff(f5879,plain,( 72.37/71.54 tb2t3(nil(a1)) = sK11 | ~spl14_200), 72.37/71.54 inference(avatar_component_clause,[],[f5878])). 72.37/71.54 tff(f5880,plain,( 72.37/71.54 spl14_200 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5850,f496,f5878])). 72.37/71.54 tff(f5881,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != 0 | nil(a1) = t2tb3(sK11) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f211,f281])). 72.37/71.54 tff(f5888,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != length(a1,t2tb3(sK5)) | none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK11)) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f1532,f281])). 72.37/71.54 tff(f5889,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) != 0 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(superposition,[],[f1582,f281])). 72.37/71.54 tff(f5893,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK7)),t2tb3(sK11)) | ~spl14_4), 72.37/71.54 inference(trivial_inequality_removal,[],[f5888])). 72.37/71.54 tff(f5894,plain,( 72.37/71.54 spl14_122 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f5893,f280,f1374])). 72.37/71.54 tff(f5905,plain,( 72.37/71.54 t2tb3(sK7) != t2tb3(sK8) | ~spl14_197), 72.37/71.54 inference(superposition,[],[f5855,f198])). 72.37/71.54 tff(f5907,plain,( 72.37/71.54 spl14_202 <=> t2tb3(sK7) = t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_202])])). 72.37/71.54 tff(f5908,plain,( 72.37/71.54 t2tb3(sK7) = t2tb3(sK8) | ~spl14_202), 72.37/71.54 inference(avatar_component_clause,[],[f5907])). 72.37/71.54 tff(f5910,plain,( 72.37/71.54 spl14_203 <=> t2tb3(sK7) != t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_203])])). 72.37/71.54 tff(f5912,plain,( 72.37/71.54 ~spl14_203 | spl14_197), 72.37/71.54 inference(avatar_split_clause,[],[f5905,f5854,f5910])). 72.37/71.54 tff(f5932,plain,( 72.37/71.54 none(a1) != none(a1) | ~spl14_199), 72.37/71.54 inference(superposition,[],[f5868,f202])). 72.37/71.54 tff(f5933,plain,( 72.37/71.54 $false | ~spl14_199), 72.37/71.54 inference(trivial_inequality_removal,[],[f5932])). 72.37/71.54 tff(f5934,plain,( 72.37/71.54 spl14_199), 72.37/71.54 inference(avatar_contradiction_clause,[],[f5933])). 72.37/71.54 tff(f5965,plain,( 72.37/71.54 none(a1) = nth(a1,length(a1,t2tb3(sK0)),t2tb3(sK11)) | length(a1,t2tb3(sK5)) != 0 | (~spl14_4 | ~spl14_143)), 72.37/71.54 inference(resolution,[],[f1316,f1574])). 72.37/71.54 tff(f5979,plain,( 72.37/71.54 ( ! [X25:uni] : (nil(a1) != infix_plpl(a1,t2tb3(sK7),X25) | nil(a1) = t2tb3(sK11)) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5736,f1103])). 72.37/71.54 tff(f6038,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)) | nil(a1) = t2tb3(sK11) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5809,f344])). 72.37/71.54 tff(f6039,plain,( 72.37/71.54 ( ! [X12:uni] : (mem(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,t2tb3(sK7),X12)) | nil(a1) = t2tb3(sK11)) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5809,f1103])). 72.37/71.54 tff(f6063,plain,( 72.37/71.54 spl14_204 <=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_204])])). 72.37/71.54 tff(f6064,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)) | ~spl14_204), 72.37/71.54 inference(avatar_component_clause,[],[f6063])). 72.37/71.54 tff(f6065,plain,( 72.37/71.54 spl14_52 | spl14_204 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f6038,f343,f6063,f496])). 72.37/71.54 tff(f6067,plain,( 72.37/71.54 spl14_206 <=> ! [X12 : uni] : mem(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,t2tb3(sK7),X12))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_206])])). 72.37/71.54 tff(f6068,plain,( 72.37/71.54 ( ! [X12:uni] : (mem(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,t2tb3(sK7),X12))) ) | ~spl14_206), 72.37/71.54 inference(avatar_component_clause,[],[f6067])). 72.37/71.54 tff(f6069,plain,( 72.37/71.54 spl14_52 | spl14_206 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f6039,f343,f6067,f496])). 72.37/71.54 tff(f6070,plain,( 72.37/71.54 ~spl14_55 | spl14_148 | ~spl14_4 | spl14_143), 72.37/71.54 inference(avatar_split_clause,[],[f5965,f1552,f280,f1593,f502])). 72.37/71.54 tff(f6071,plain,( 72.37/71.54 spl14_148 | ~spl14_55 | ~spl14_4 | spl14_143), 72.37/71.54 inference(avatar_split_clause,[],[f5889,f1552,f280,f502,f1593])). 72.37/71.54 tff(f6072,plain,( 72.37/71.54 spl14_52 | ~spl14_55 | ~spl14_4), 72.37/71.54 inference(avatar_split_clause,[],[f5881,f280,f502,f496])). 72.37/71.54 tff(f6073,plain,( 72.37/71.54 spl14_148 | ~spl14_55 | ~spl14_4 | spl14_143), 72.37/71.54 inference(avatar_split_clause,[],[f1603,f1552,f280,f502,f1593])). 72.37/71.54 tff(f6074,plain,( 72.37/71.54 spl14_148 | ~spl14_55 | ~spl14_4 | spl14_143), 72.37/71.54 inference(avatar_split_clause,[],[f1581,f1552,f280,f502,f1593])). 72.37/71.54 tff(f6076,plain,( 72.37/71.54 spl14_208 <=> ! [X18 : ty,X20 : $int,X19 : uni,X21 : $int] : (nth(X18,X20,X19) = nth(X18,length(a1,t2tb3(sK7)),X19) | ~pal(X18,X19,X21) | ~$less(length(a1,t2tb3(sK7)),X21) | $sum($difference(X21,1),$uminus(length(a1,t2tb3(sK7)))) != X20)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_208])])). 72.37/71.54 tff(f6078,plain,( 72.37/71.54 ~spl14_55 | spl14_208), 72.37/71.54 inference(avatar_split_clause,[],[f1578,f6076,f502])). 72.37/71.54 tff(f6080,plain,( 72.37/71.54 spl14_210 <=> ! [X8 : $int] : (~$less(length(a1,t2tb3(sK7)),X8) | 0 != X8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_210])])). 72.37/71.54 tff(f6082,plain,( 72.37/71.54 ~spl14_55 | spl14_210), 72.37/71.54 inference(avatar_split_clause,[],[f1311,f6080,f502])). 72.37/71.54 tff(f6083,plain,( 72.37/71.54 spl14_52 | spl14_194 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f5979,f343,f5826,f496])). 72.37/71.54 tff(f6084,plain,( 72.37/71.54 spl14_54 | ~spl14_4 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5851,f496,f280,f499])). 72.37/71.54 tff(f6085,plain,( 72.37/71.54 spl14_200 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5850,f496,f5878])). 72.37/71.54 tff(f6086,plain,( 72.37/71.54 spl14_196 | ~spl14_20 | ~spl14_52), 72.37/71.54 inference(avatar_split_clause,[],[f5830,f496,f343,f5857])). 72.37/71.54 tff(f6087,plain,( 72.37/71.54 nil(a1) = t2tb3(sK11) | ~spl14_200), 72.37/71.54 inference(superposition,[],[f179,f5879])). 72.37/71.54 tff(f6088,plain,( 72.37/71.54 spl14_52 | ~spl14_200), 72.37/71.54 inference(avatar_split_clause,[],[f6087,f5878,f496])). 72.37/71.54 tff(f6090,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)))) = t2tb3(sK7) | ~spl14_204), 72.37/71.54 inference(resolution,[],[f6064,f223])). 72.37/71.54 tff(f6095,plain,( 72.37/71.54 spl14_212 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK7)))) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_212])])). 72.37/71.54 tff(f6097,plain,( 72.37/71.54 spl14_212 | ~spl14_204), 72.37/71.54 inference(avatar_split_clause,[],[f6090,f6063,f6095])). 72.37/71.54 tff(f6098,plain,( 72.37/71.54 t2tb3(sK7) = t2tb3(sK8) | ~spl14_196), 72.37/71.54 inference(superposition,[],[f5858,f198])). 72.37/71.54 tff(f6099,plain,( 72.37/71.54 t2tb3(sK7) = t2tb3(sK8) | ~spl14_196), 72.37/71.54 inference(superposition,[],[f198,f5858])). 72.37/71.54 tff(f6110,plain,( 72.37/71.54 spl14_202 | ~spl14_196), 72.37/71.54 inference(avatar_split_clause,[],[f6098,f5857,f5907])). 72.37/71.54 tff(f6111,plain,( 72.37/71.54 spl14_202 | ~spl14_196), 72.37/71.54 inference(avatar_split_clause,[],[f6099,f5857,f5907])). 72.37/71.54 tff(f6113,plain,( 72.37/71.54 infix_plpl(a1,t2tb3(sK11),t2tb3(sK7)) = t2tb3(sK7) | (~spl14_20 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f344])). 72.37/71.54 tff(f6114,plain,( 72.37/71.54 cons(a1,t2tb(sK6),t2tb3(sK10)) = t2tb3(sK7) | (~spl14_28 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f376])). 72.37/71.54 tff(f6115,plain,( 72.37/71.54 cons_proj_2(a1,t2tb3(sK7)) = t2tb3(sK10) | (~spl14_46 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f461])). 72.37/71.54 tff(f6116,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK7)) | (~spl14_68 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f664])). 72.37/71.54 tff(f6117,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = t2tb(sK6) | (~spl14_76 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f773])). 72.37/71.54 tff(f6119,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK7)) | (~spl14_84 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f821])). 72.37/71.54 tff(f6160,plain,( 72.37/71.54 length(a1,t2tb3(sK7)) = $sum(1,length(a1,t2tb3(sK10))) | (~spl14_186 | ~spl14_202)), 72.37/71.54 inference(backward_demodulation,[],[f5908,f3261])). 72.37/71.54 tff(f6169,plain,( 72.37/71.54 tb2t3(t2tb3(sK7)) = sK8 | ~spl14_202), 72.37/71.54 inference(superposition,[],[f178,f5908])). 72.37/71.54 tff(f6174,plain,( 72.37/71.54 spl14_214 <=> infix_plpl(a1,t2tb3(sK11),t2tb3(sK7)) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_214])])). 72.37/71.54 tff(f6176,plain,( 72.37/71.54 spl14_214 | ~spl14_20 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6113,f5907,f343,f6174])). 72.37/71.54 tff(f6181,plain,( 72.37/71.54 spl14_216 <=> cons(a1,t2tb(sK6),t2tb3(sK10)) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_216])])). 72.37/71.54 tff(f6183,plain,( 72.37/71.54 spl14_216 | ~spl14_28 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6114,f5907,f375,f6181])). 72.37/71.54 tff(f6188,plain,( 72.37/71.54 spl14_218 <=> cons_proj_2(a1,t2tb3(sK7)) = t2tb3(sK10)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_218])])). 72.37/71.54 tff(f6190,plain,( 72.37/71.54 spl14_218 | ~spl14_46 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6115,f5907,f460,f6188])). 72.37/71.54 tff(f6192,plain,( 72.37/71.54 spl14_221 <=> ~mem(a1,t2tb(sK6),t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_221])])). 72.37/71.54 tff(f6193,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),t2tb3(sK7)) | ~spl14_221), 72.37/71.54 inference(avatar_component_clause,[],[f6192])). 72.37/71.54 tff(f6195,plain,( 72.37/71.54 spl14_220 <=> mem(a1,t2tb(sK6),t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_220])])). 72.37/71.54 tff(f6196,plain,( 72.37/71.54 mem(a1,t2tb(sK6),t2tb3(sK7)) | ~spl14_220), 72.37/71.54 inference(avatar_component_clause,[],[f6195])). 72.37/71.54 tff(f6197,plain,( 72.37/71.54 spl14_220 | ~spl14_68 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6116,f5907,f663,f6195])). 72.37/71.54 tff(f6202,plain,( 72.37/71.54 spl14_222 <=> cons_proj_1(a1,t2tb3(sK7)) = t2tb(sK6)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_222])])). 72.37/71.54 tff(f6204,plain,( 72.37/71.54 spl14_222 | ~spl14_76 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6117,f5907,f772,f6202])). 72.37/71.54 tff(f6209,plain,( 72.37/71.54 spl14_224 <=> some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_224])])). 72.37/71.54 tff(f6211,plain,( 72.37/71.54 spl14_224 | ~spl14_84 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6119,f5907,f820,f6209])). 72.37/71.54 tff(f6213,plain,( 72.37/71.54 spl14_227 <=> length(a1,t2tb3(sK7)) != $sum(1,length(a1,t2tb3(sK10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_227])])). 72.37/71.54 tff(f6214,plain,( 72.37/71.54 length(a1,t2tb3(sK7)) != $sum(1,length(a1,t2tb3(sK10))) | ~spl14_227), 72.37/71.54 inference(avatar_component_clause,[],[f6213])). 72.37/71.54 tff(f6216,plain,( 72.37/71.54 spl14_226 <=> length(a1,t2tb3(sK7)) = $sum(1,length(a1,t2tb3(sK10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_226])])). 72.37/71.54 tff(f6218,plain,( 72.37/71.54 spl14_226 | ~spl14_186 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6160,f5907,f3260,f6216])). 72.37/71.54 tff(f6220,plain,( 72.37/71.54 sK7 = sK8 | ~spl14_202), 72.37/71.54 inference(forward_demodulation,[],[f6169,f178])). 72.37/71.54 tff(f6225,plain,( 72.37/71.54 spl14_228 <=> sK7 = sK8), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_228])])). 72.37/71.54 tff(f6227,plain,( 72.37/71.54 spl14_228 | ~spl14_202), 72.37/71.54 inference(avatar_split_clause,[],[f6220,f5907,f6225])). 72.37/71.54 tff(f6228,plain,( 72.37/71.54 ~spl14_203 | spl14_197), 72.37/71.54 inference(avatar_split_clause,[],[f5905,f5854,f5910])). 72.37/71.54 tff(f6229,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK8)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK8)))) = t2tb3(sK8) | ~spl14_68), 72.37/71.54 inference(resolution,[],[f664,f223])). 72.37/71.54 tff(f6230,plain,( 72.37/71.54 spl14_120 | ~spl14_68), 72.37/71.54 inference(avatar_split_clause,[],[f6229,f663,f1365])). 72.37/71.54 tff(f6242,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),t2tb3(sK11)) | (~spl14_20 | ~spl14_221)), 72.37/71.54 inference(resolution,[],[f6193,f775])). 72.37/71.54 tff(f6244,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),nil(a1)) | ~spl14_221), 72.37/71.54 inference(resolution,[],[f6193,f777])). 72.37/71.54 tff(f6249,plain,( 72.37/71.54 spl14_231 <=> ~mem(a1,t2tb(sK6),t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_231])])). 72.37/71.54 tff(f6250,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),t2tb3(sK11)) | ~spl14_231), 72.37/71.54 inference(avatar_component_clause,[],[f6249])). 72.37/71.54 tff(f6251,plain,( 72.37/71.54 ~spl14_231 | ~spl14_20 | spl14_221), 72.37/71.54 inference(avatar_split_clause,[],[f6242,f6192,f343,f6249])). 72.37/71.54 tff(f6256,plain,( 72.37/71.54 spl14_233 <=> ~mem(a1,t2tb(sK6),nil(a1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_233])])). 72.37/71.54 tff(f6258,plain,( 72.37/71.54 ~spl14_233 | spl14_221), 72.37/71.54 inference(avatar_split_clause,[],[f6244,f6192,f6256])). 72.37/71.54 tff(f6259,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),nil(a1)) | ~spl14_231), 72.37/71.54 inference(resolution,[],[f6250,f777])). 72.37/71.54 tff(f6260,plain,( 72.37/71.54 ~spl14_233 | spl14_231), 72.37/71.54 inference(avatar_split_clause,[],[f6259,f6249,f6256])). 72.37/71.54 tff(f6262,plain,( 72.37/71.54 ( ! [X0:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK8)),infix_plpl(a1,t2tb3(sK10),X0)) = infix_plpl(a1,t2tb3(sK8),X0) | nil(a1) = t2tb3(sK8)) ) | ~spl14_46), 72.37/71.54 inference(superposition,[],[f1044,f461])). 72.37/71.54 tff(f6263,plain,( 72.37/71.54 cons(a1,cons_proj_1(a1,t2tb3(sK8)),t2tb3(sK10)) = t2tb3(sK8) | nil(a1) = t2tb3(sK8) | ~spl14_46), 72.37/71.54 inference(superposition,[],[f203,f461])). 72.37/71.54 tff(f6265,plain,( 72.37/71.54 spl14_234 <=> ! [X0 : uni] : cons(a1,cons_proj_1(a1,t2tb3(sK8)),infix_plpl(a1,t2tb3(sK10),X0)) = infix_plpl(a1,t2tb3(sK8),X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_234])])). 72.37/71.54 tff(f6267,plain,( 72.37/71.54 spl14_36 | spl14_234 | ~spl14_46), 72.37/71.54 inference(avatar_split_clause,[],[f6262,f460,f6265,f409])). 72.37/71.54 tff(f6272,plain,( 72.37/71.54 spl14_236 <=> cons(a1,cons_proj_1(a1,t2tb3(sK8)),t2tb3(sK10)) = t2tb3(sK8)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_236])])). 72.37/71.54 tff(f6274,plain,( 72.37/71.54 spl14_36 | spl14_236 | ~spl14_46), 72.37/71.54 inference(avatar_split_clause,[],[f6263,f460,f6272,f409])). 72.37/71.54 tff(f6276,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK8)) = t2tb(sK6) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f683,f376])). 72.37/71.54 tff(f6278,plain,( 72.37/71.54 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK8)) | ~mem(a1,X1,t2tb3(sK10)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X1)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f205,f376])). 72.37/71.54 tff(f6279,plain,( 72.37/71.54 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK8)) | mem(a1,X2,t2tb3(sK10)) | t2tb(sK6) = X2 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X2)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f207,f376])). 72.37/71.54 tff(f6282,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK8)) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f242,f376])). 72.37/71.54 tff(f6296,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK8)) = some_proj_1(a1,some(a1,t2tb(sK6))) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f2239,f376])). 72.37/71.54 tff(f6298,plain,( 72.37/71.54 length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK10))) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f3113,f376])). 72.37/71.54 tff(f6300,plain,( 72.37/71.54 spl14_76 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6276,f375,f772])). 72.37/71.54 tff(f6301,plain,( 72.37/71.54 ~spl14_65 | spl14_104 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6278,f375,f1255,f650])). 72.37/71.54 tff(f6302,plain,( 72.37/71.54 ~spl14_65 | spl14_130 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6279,f375,f1425,f650])). 72.37/71.54 tff(f6303,plain,( 72.37/71.54 spl14_84 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6282,f375,f820])). 72.37/71.54 tff(f6304,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK8)) = t2tb(sK6) | ~spl14_28), 72.37/71.54 inference(forward_demodulation,[],[f6296,f557])). 72.37/71.54 tff(f6305,plain,( 72.37/71.54 spl14_76 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6304,f375,f772])). 72.37/71.54 tff(f6306,plain,( 72.37/71.54 spl14_186 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6298,f375,f3260])). 72.37/71.54 tff(f6318,plain,( 72.37/71.54 some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK8)) | nil(a1) = t2tb3(sK8) | ~spl14_76), 72.37/71.54 inference(superposition,[],[f1003,f773])). 72.37/71.54 tff(f6321,plain,( 72.37/71.54 ( ! [X14:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK8)),X14)) = infix_plpl(a1,t2tb3(sK8),X14) | nil(a1) = t2tb3(sK8)) ) | ~spl14_76), 72.37/71.54 inference(superposition,[],[f1044,f773])). 72.37/71.54 tff(f6329,plain,( 72.37/71.54 ( ! [X25:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK8),X25)) | nil(a1) = t2tb3(sK8)) ) | ~spl14_76), 72.37/71.54 inference(superposition,[],[f5809,f773])). 72.37/71.54 tff(f6331,plain,( 72.37/71.54 spl14_36 | spl14_84 | ~spl14_76), 72.37/71.54 inference(avatar_split_clause,[],[f6318,f772,f820,f409])). 72.37/71.54 tff(f6332,plain,( 72.37/71.54 ( ! [X14:uni] : (cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK10),X14)) = infix_plpl(a1,t2tb3(sK8),X14) | nil(a1) = t2tb3(sK8)) ) | (~spl14_46 | ~spl14_76)), 72.37/71.54 inference(forward_demodulation,[],[f6321,f461])). 72.37/71.54 tff(f6334,plain,( 72.37/71.54 spl14_238 <=> ! [X14 : uni] : cons(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK10),X14)) = infix_plpl(a1,t2tb3(sK8),X14)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_238])])). 72.37/71.54 tff(f6336,plain,( 72.37/71.54 spl14_36 | spl14_238 | ~spl14_46 | ~spl14_76), 72.37/71.54 inference(avatar_split_clause,[],[f6332,f772,f460,f6334,f409])). 72.37/71.54 tff(f6337,plain,( 72.37/71.54 spl14_36 | spl14_96 | ~spl14_76), 72.37/71.54 inference(avatar_split_clause,[],[f6329,f772,f1194,f409])). 72.37/71.54 tff(f6345,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),t2tb3(sK8)) | (~spl14_20 | ~spl14_221)), 72.37/71.54 inference(resolution,[],[f786,f6193])). 72.37/71.54 tff(f6347,plain,( 72.37/71.54 ~spl14_69 | ~spl14_20 | spl14_221), 72.37/71.54 inference(avatar_split_clause,[],[f6345,f6192,f343,f660])). 72.37/71.54 tff(f6348,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK7)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK7)))) = t2tb3(sK7) | ~spl14_220), 72.37/71.54 inference(resolution,[],[f6196,f223])). 72.37/71.54 tff(f6353,plain,( 72.37/71.54 spl14_240 <=> infix_plpl(a1,sK12(a1,t2tb(sK6),t2tb3(sK7)),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),t2tb3(sK7)))) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_240])])). 72.37/71.54 tff(f6355,plain,( 72.37/71.54 spl14_240 | ~spl14_220), 72.37/71.54 inference(avatar_split_clause,[],[f6348,f6195,f6353])). 72.37/71.54 tff(f6573,plain,( 72.37/71.54 ( ! [X12:$int,X10:$int,X11:uni] : (length(a1,t2tb3(sK5)) != X10 | length(a1,infix_plpl(a1,t2tb3(sK11),X11)) != X12 | $sum(X10,length(a1,X11)) = X12) ) | ~spl14_4), 72.37/71.54 inference(superposition,[],[f1545,f281])). 72.37/71.54 tff(f6579,plain,( 72.37/71.54 length(a1,t2tb3(sK7)) != length(a1,t2tb3(sK8)) | (~spl14_186 | ~spl14_227)), 72.37/71.54 inference(superposition,[],[f6214,f3261])). 72.37/71.54 tff(f6584,plain,( 72.37/71.54 spl14_243 <=> length(a1,t2tb3(sK7)) != length(a1,t2tb3(sK8))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_243])])). 72.37/71.54 tff(f6586,plain,( 72.37/71.54 ~spl14_243 | ~spl14_186 | spl14_227), 72.37/71.54 inference(avatar_split_clause,[],[f6579,f6213,f3260,f6584])). 72.37/71.54 tff(f6590,plain,( 72.37/71.54 ( ! [X0:$int] : (none(a1) != none(a1) | length(a1,t2tb3(sK11)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0) | $less(length(a1,t2tb3(sK0)),0)) ) | ~spl14_148), 72.37/71.54 inference(superposition,[],[f255,f1594])). 72.37/71.54 tff(f6603,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK11)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0) | $less(length(a1,t2tb3(sK0)),0)) ) | ~spl14_148), 72.37/71.54 inference(trivial_inequality_removal,[],[f6590])). 72.37/71.54 tff(f6604,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK5)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0) | $less(length(a1,t2tb3(sK0)),0)) ) | (~spl14_4 | ~spl14_148)), 72.37/71.54 inference(forward_demodulation,[],[f6603,f281])). 72.37/71.54 tff(f6606,plain,( 72.37/71.54 spl14_244 <=> ! [X0 : $int] : (length(a1,t2tb3(sK5)) != X0 | ~$less(length(a1,t2tb3(sK0)),X0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_244])])). 72.37/71.54 tff(f6608,plain,( 72.37/71.54 spl14_142 | spl14_244 | ~spl14_4 | ~spl14_148), 72.37/71.54 inference(avatar_split_clause,[],[f6604,f1593,f280,f6606,f1555])). 72.37/71.54 tff(f6923,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni] : (~mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK8),X14))) | ~sort(a1,X15) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f1241,f1188])). 72.37/71.54 tff(f6925,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni] : (~sort(a1,t2tb(sK6)) | ~mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | ~sort(a1,X15) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14)) ) | ~spl14_28), 72.37/71.54 inference(forward_demodulation,[],[f6923,f1184])). 72.37/71.54 tff(f6927,plain,( 72.37/71.54 spl14_246 <=> ! [X15 : uni,X14 : uni] : (~mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14) | ~sort(a1,X15) | mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_246])])). 72.37/71.54 tff(f6929,plain,( 72.37/71.54 spl14_246 | ~spl14_65 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f6925,f375,f650,f6927])). 72.37/71.54 tff(f7062,plain,( 72.37/71.54 ( ! [X7:uni] : (mem(a1,X7,t2tb3(sK10)) | ~mem(a1,X7,t2tb3(sK8)) | cons_proj_1(a1,t2tb3(sK8)) = X7 | ~sort(a1,cons_proj_1(a1,t2tb3(sK8))) | ~sort(a1,X7) | nil(a1) = t2tb3(sK8)) ) | ~spl14_46), 72.37/71.54 inference(superposition,[],[f1409,f461])). 72.37/71.54 tff(f7063,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X8)) = X9 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X8))) | ~sort(a1,X9) | nil(a1) = infix_plpl(a1,t2tb3(sK0),X8)) ) | ~spl14_22), 72.37/71.54 inference(superposition,[],[f1409,f1152])). 72.37/71.54 tff(f7064,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (mem(a1,X11,infix_plpl(a1,t2tb3(sK3),X10)) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK1),X10)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK1),X10)) = X11 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK1),X10))) | ~sort(a1,X11) | nil(a1) = infix_plpl(a1,t2tb3(sK1),X10)) ) | ~spl14_26), 72.37/71.54 inference(superposition,[],[f1409,f1055])). 72.37/71.54 tff(f7065,plain,( 72.37/71.54 ( ! [X12:uni,X13:uni] : (mem(a1,X13,infix_plpl(a1,t2tb3(sK5),X12)) | ~mem(a1,X13,infix_plpl(a1,t2tb3(sK3),X12)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK3),X12)) = X13 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK3),X12))) | ~sort(a1,X13) | nil(a1) = infix_plpl(a1,t2tb3(sK3),X12)) ) | ~spl14_24), 72.37/71.54 inference(superposition,[],[f1409,f1095])). 72.37/71.54 tff(f7066,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni] : (mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | ~mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK8),X14)) = X15 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK8),X14))) | ~sort(a1,X15) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f1409,f1188])). 72.37/71.54 tff(f7074,plain,( 72.37/71.54 ( ! [X7:uni] : (t2tb(sK6) = X7 | mem(a1,X7,t2tb3(sK10)) | ~mem(a1,X7,t2tb3(sK8)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK8))) | ~sort(a1,X7) | nil(a1) = t2tb3(sK8)) ) | (~spl14_46 | ~spl14_76)), 72.37/71.54 inference(forward_demodulation,[],[f7062,f773])). 72.37/71.54 tff(f7075,plain,( 72.37/71.54 ( ! [X7:uni] : (~sort(a1,t2tb(sK6)) | t2tb(sK6) = X7 | mem(a1,X7,t2tb3(sK10)) | ~mem(a1,X7,t2tb3(sK8)) | ~sort(a1,X7) | nil(a1) = t2tb3(sK8)) ) | (~spl14_46 | ~spl14_76)), 72.37/71.54 inference(forward_demodulation,[],[f7074,f773])). 72.37/71.54 tff(f7076,plain,( 72.37/71.54 spl14_36 | spl14_130 | ~spl14_65 | ~spl14_46 | ~spl14_76), 72.37/71.54 inference(avatar_split_clause,[],[f7075,f772,f460,f650,f1425,f409])). 72.37/71.54 tff(f7077,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (t2tb(sK6) = X9 | mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK0),X8))) | ~sort(a1,X9) | nil(a1) = infix_plpl(a1,t2tb3(sK0),X8)) ) | ~spl14_22), 72.37/71.54 inference(forward_demodulation,[],[f7063,f1148])). 72.37/71.54 tff(f7078,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (~sort(a1,t2tb(sK6)) | t2tb(sK6) = X9 | mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | ~sort(a1,X9) | nil(a1) = infix_plpl(a1,t2tb3(sK0),X8)) ) | ~spl14_22), 72.37/71.54 inference(forward_demodulation,[],[f7077,f1148])). 72.37/71.54 tff(f7080,plain,( 72.37/71.54 spl14_248 <=> ! [X9 : uni,X8 : uni] : (t2tb(sK6) = X9 | nil(a1) = infix_plpl(a1,t2tb3(sK0),X8) | ~sort(a1,X9) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK0),X8)) | mem(a1,X9,infix_plpl(a1,t2tb3(sK7),X8)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_248])])). 72.37/71.54 tff(f7082,plain,( 72.37/71.54 spl14_248 | ~spl14_65 | ~spl14_22), 72.37/71.54 inference(avatar_split_clause,[],[f7078,f351,f650,f7080])). 72.37/71.54 tff(f7083,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (t2tb(sK2) = X11 | mem(a1,X11,infix_plpl(a1,t2tb3(sK3),X10)) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK1),X10)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK1),X10))) | ~sort(a1,X11) | nil(a1) = infix_plpl(a1,t2tb3(sK1),X10)) ) | ~spl14_26), 72.37/71.54 inference(forward_demodulation,[],[f7064,f1051])). 72.37/71.54 tff(f7084,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (~sort(a1,t2tb(sK2)) | t2tb(sK2) = X11 | mem(a1,X11,infix_plpl(a1,t2tb3(sK3),X10)) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK1),X10)) | ~sort(a1,X11) | nil(a1) = infix_plpl(a1,t2tb3(sK1),X10)) ) | ~spl14_26), 72.37/71.54 inference(forward_demodulation,[],[f7083,f1051])). 72.37/71.54 tff(f7086,plain,( 72.37/71.54 spl14_250 <=> ! [X11 : uni,X10 : uni] : (t2tb(sK2) = X11 | nil(a1) = infix_plpl(a1,t2tb3(sK1),X10) | ~sort(a1,X11) | ~mem(a1,X11,infix_plpl(a1,t2tb3(sK1),X10)) | mem(a1,X11,infix_plpl(a1,t2tb3(sK3),X10)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_250])])). 72.37/71.54 tff(f7088,plain,( 72.37/71.54 spl14_250 | ~spl14_57 | ~spl14_26), 72.37/71.54 inference(avatar_split_clause,[],[f7084,f367,f624,f7086])). 72.37/71.54 tff(f7089,plain,( 72.37/71.54 ( ! [X12:uni,X13:uni] : (t2tb(sK4) = X13 | mem(a1,X13,infix_plpl(a1,t2tb3(sK5),X12)) | ~mem(a1,X13,infix_plpl(a1,t2tb3(sK3),X12)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK3),X12))) | ~sort(a1,X13) | nil(a1) = infix_plpl(a1,t2tb3(sK3),X12)) ) | ~spl14_24), 72.37/71.54 inference(forward_demodulation,[],[f7065,f1091])). 72.37/71.54 tff(f7090,plain,( 72.37/71.54 ( ! [X12:uni,X13:uni] : (~sort(a1,t2tb(sK4)) | t2tb(sK4) = X13 | mem(a1,X13,infix_plpl(a1,t2tb3(sK5),X12)) | ~mem(a1,X13,infix_plpl(a1,t2tb3(sK3),X12)) | ~sort(a1,X13) | nil(a1) = infix_plpl(a1,t2tb3(sK3),X12)) ) | ~spl14_24), 72.37/71.54 inference(forward_demodulation,[],[f7089,f1091])). 72.37/71.54 tff(f7092,plain,( 72.37/71.54 spl14_252 <=> ! [X13 : uni,X12 : uni] : (t2tb(sK4) = X13 | nil(a1) = infix_plpl(a1,t2tb3(sK3),X12) | ~sort(a1,X13) | ~mem(a1,X13,infix_plpl(a1,t2tb3(sK3),X12)) | mem(a1,X13,infix_plpl(a1,t2tb3(sK5),X12)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_252])])). 72.37/71.54 tff(f7094,plain,( 72.37/71.54 spl14_252 | ~spl14_61 | ~spl14_24), 72.37/71.54 inference(avatar_split_clause,[],[f7090,f359,f637,f7092])). 72.37/71.54 tff(f7095,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni] : (t2tb(sK6) = X15 | mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | ~mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK8),X14))) | ~sort(a1,X15) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14)) ) | ~spl14_28), 72.37/71.54 inference(forward_demodulation,[],[f7066,f1184])). 72.37/71.54 tff(f7096,plain,( 72.37/71.54 ( ! [X14:uni,X15:uni] : (~sort(a1,t2tb(sK6)) | t2tb(sK6) = X15 | mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)) | ~mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | ~sort(a1,X15) | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14)) ) | ~spl14_28), 72.37/71.54 inference(forward_demodulation,[],[f7095,f1184])). 72.37/71.54 tff(f7098,plain,( 72.37/71.54 spl14_254 <=> ! [X15 : uni,X14 : uni] : (t2tb(sK6) = X15 | nil(a1) = infix_plpl(a1,t2tb3(sK8),X14) | ~sort(a1,X15) | ~mem(a1,X15,infix_plpl(a1,t2tb3(sK8),X14)) | mem(a1,X15,infix_plpl(a1,t2tb3(sK10),X14)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_254])])). 72.37/71.54 tff(f7100,plain,( 72.37/71.54 spl14_254 | ~spl14_65 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f7096,f375,f650,f7098])). 72.37/71.54 tff(f7107,plain,( 72.37/71.54 ( ! [X8:uni,X9:uni] : (mem(a1,X9,infix_plpl(a1,t2tb3(sK8),X8)) | ~mem(a1,X9,infix_plpl(a1,t2tb3(sK10),X8)) | ~sort(a1,t2tb(sK6)) | ~sort(a1,X9)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f205,f1043])). 72.37/71.54 tff(f7108,plain,( 72.37/71.54 ( ! [X10:uni,X11:uni] : (~mem(a1,X11,infix_plpl(a1,t2tb3(sK8),X10)) | mem(a1,X11,infix_plpl(a1,t2tb3(sK10),X10)) | t2tb(sK6) = X11 | ~sort(a1,t2tb(sK6)) | ~sort(a1,X11)) ) | ~spl14_28), 72.37/71.54 inference(superposition,[],[f207,f1043])). 72.37/71.54 tff(f7136,plain,( 72.37/71.54 ~spl14_65 | spl14_112 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f7107,f375,f1271,f650])). 72.37/71.54 tff(f7137,plain,( 72.37/71.54 ~spl14_65 | spl14_138 | ~spl14_28), 72.37/71.54 inference(avatar_split_clause,[],[f7108,f375,f1441,f650])). 72.37/71.54 tff(f7717,plain,( 72.37/71.54 ( ! [X104:uni] : (~sort(a1,X104) | cons(a1,X104,t2tb3(sK0)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X104,t2tb3(sK0))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X104,t2tb3(sK0))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_66), 72.37/71.54 inference(resolution,[],[f1318,f657])). 72.37/71.54 tff(f7718,plain,( 72.37/71.54 ( ! [X105:uni] : (~sort(a1,X105) | cons(a1,X105,t2tb3(sK1)) = infix_plpl(a1,sK12(a1,t2tb(sK2),cons(a1,X105,t2tb3(sK1))),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),cons(a1,X105,t2tb3(sK1))))) | ~sort(a1,t2tb(sK2))) ) | ~spl14_58), 72.37/71.54 inference(resolution,[],[f1318,f631])). 72.37/71.54 tff(f7719,plain,( 72.37/71.54 ( ! [X106:uni] : (~sort(a1,X106) | cons(a1,X106,t2tb3(sK3)) = infix_plpl(a1,sK12(a1,t2tb(sK4),cons(a1,X106,t2tb3(sK3))),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),cons(a1,X106,t2tb3(sK3))))) | ~sort(a1,t2tb(sK4))) ) | ~spl14_62), 72.37/71.54 inference(resolution,[],[f1318,f644])). 72.37/71.54 tff(f7720,plain,( 72.37/71.54 ( ! [X107:uni] : (~sort(a1,X107) | cons(a1,X107,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X107,t2tb3(sK7))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X107,t2tb3(sK7))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_220), 72.37/71.54 inference(resolution,[],[f1318,f6196])). 72.37/71.54 tff(f7721,plain,( 72.37/71.54 ( ! [X108:uni] : (~sort(a1,X108) | cons(a1,X108,t2tb3(sK8)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X108,t2tb3(sK8))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X108,t2tb3(sK8))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_68), 72.37/71.54 inference(resolution,[],[f1318,f664])). 72.37/71.54 tff(f7741,plain,( 72.37/71.54 ( ! [X151:uni] : (~sort(a1,X151) | cons(a1,X151,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X151,t2tb3(sK7))),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X151,t2tb3(sK7))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK11)))) ) | ~spl14_204), 72.37/71.54 inference(resolution,[],[f1318,f6064])). 72.37/71.54 tff(f7742,plain,( 72.37/71.54 ( ! [X152:uni,X153:uni] : (~sort(a1,X153) | cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_94), 72.37/71.54 inference(resolution,[],[f1318,f1159])). 72.37/71.54 tff(f7743,plain,( 72.37/71.54 ( ! [X154:uni,X155:uni] : (~sort(a1,X155) | cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154)) = infix_plpl(a1,sK12(a1,t2tb(sK2),cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154))),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154))))) | ~sort(a1,t2tb(sK2))) ) | ~spl14_90), 72.37/71.54 inference(resolution,[],[f1318,f1060])). 72.37/71.54 tff(f7744,plain,( 72.37/71.54 ( ! [X156:uni,X157:uni] : (~sort(a1,X157) | cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156)) = infix_plpl(a1,sK12(a1,t2tb(sK4),cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156))),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156))))) | ~sort(a1,t2tb(sK4))) ) | ~spl14_92), 72.37/71.54 inference(resolution,[],[f1318,f1100])). 72.37/71.54 tff(f7745,plain,( 72.37/71.54 ( ! [X158:uni,X159:uni] : (~sort(a1,X159) | cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_96), 72.37/71.54 inference(resolution,[],[f1318,f1195])). 72.37/71.54 tff(f7752,plain,( 72.37/71.54 ( ! [X178:uni,X179:uni] : (~sort(a1,X179) | cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178))),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK11)))) ) | ~spl14_206), 72.37/71.54 inference(resolution,[],[f1318,f6068])). 72.37/71.54 tff(f7777,plain,( 72.37/71.54 spl14_256 <=> ! [X104 : uni] : (~sort(a1,X104) | cons(a1,X104,t2tb3(sK0)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X104,t2tb3(sK0))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X104,t2tb3(sK0))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_256])])). 72.37/71.54 tff(f7779,plain,( 72.37/71.54 ~spl14_65 | spl14_256 | ~spl14_66), 72.37/71.54 inference(avatar_split_clause,[],[f7717,f656,f7777,f650])). 72.37/71.54 tff(f7781,plain,( 72.37/71.54 spl14_258 <=> ! [X105 : uni] : (~sort(a1,X105) | cons(a1,X105,t2tb3(sK1)) = infix_plpl(a1,sK12(a1,t2tb(sK2),cons(a1,X105,t2tb3(sK1))),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),cons(a1,X105,t2tb3(sK1))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_258])])). 72.37/71.54 tff(f7783,plain,( 72.37/71.54 ~spl14_57 | spl14_258 | ~spl14_58), 72.37/71.54 inference(avatar_split_clause,[],[f7718,f630,f7781,f624])). 72.37/71.54 tff(f7785,plain,( 72.37/71.54 spl14_260 <=> ! [X106 : uni] : (~sort(a1,X106) | cons(a1,X106,t2tb3(sK3)) = infix_plpl(a1,sK12(a1,t2tb(sK4),cons(a1,X106,t2tb3(sK3))),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),cons(a1,X106,t2tb3(sK3))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_260])])). 72.37/71.54 tff(f7787,plain,( 72.37/71.54 ~spl14_61 | spl14_260 | ~spl14_62), 72.37/71.54 inference(avatar_split_clause,[],[f7719,f643,f7785,f637])). 72.37/71.54 tff(f7789,plain,( 72.37/71.54 spl14_262 <=> ! [X107 : uni] : (~sort(a1,X107) | cons(a1,X107,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X107,t2tb3(sK7))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X107,t2tb3(sK7))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_262])])). 72.37/71.54 tff(f7791,plain,( 72.37/71.54 ~spl14_65 | spl14_262 | ~spl14_220), 72.37/71.54 inference(avatar_split_clause,[],[f7720,f6195,f7789,f650])). 72.37/71.54 tff(f7793,plain,( 72.37/71.54 spl14_264 <=> ! [X108 : uni] : (~sort(a1,X108) | cons(a1,X108,t2tb3(sK8)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X108,t2tb3(sK8))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X108,t2tb3(sK8))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_264])])). 72.37/71.54 tff(f7795,plain,( 72.37/71.54 ~spl14_65 | spl14_264 | ~spl14_68), 72.37/71.54 inference(avatar_split_clause,[],[f7721,f663,f7793,f650])). 72.37/71.54 tff(f7800,plain,( 72.37/71.54 spl14_267 <=> ~sort(a1,cons_proj_1(a1,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_267])])). 72.37/71.54 tff(f7801,plain,( 72.37/71.54 ~sort(a1,cons_proj_1(a1,t2tb3(sK11))) | ~spl14_267), 72.37/71.54 inference(avatar_component_clause,[],[f7800])). 72.37/71.54 tff(f7803,plain,( 72.37/71.54 spl14_268 <=> ! [X151 : uni] : (~sort(a1,X151) | cons(a1,X151,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X151,t2tb3(sK7))),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X151,t2tb3(sK7))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_268])])). 72.37/71.54 tff(f7805,plain,( 72.37/71.54 ~spl14_267 | spl14_268 | ~spl14_204), 72.37/71.54 inference(avatar_split_clause,[],[f7741,f6063,f7803,f7800])). 72.37/71.54 tff(f7807,plain,( 72.37/71.54 spl14_270 <=> ! [X153 : uni,X152 : uni] : (~sort(a1,X153) | cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X153,infix_plpl(a1,t2tb3(sK0),X152))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_270])])). 72.37/71.54 tff(f7809,plain,( 72.37/71.54 ~spl14_65 | spl14_270 | ~spl14_94), 72.37/71.54 inference(avatar_split_clause,[],[f7742,f1158,f7807,f650])). 72.37/71.54 tff(f7811,plain,( 72.37/71.54 spl14_272 <=> ! [X155 : uni,X154 : uni] : (~sort(a1,X155) | cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154)) = infix_plpl(a1,sK12(a1,t2tb(sK2),cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154))),cons(a1,t2tb(sK2),sK13(a1,t2tb(sK2),cons(a1,X155,infix_plpl(a1,t2tb3(sK1),X154))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_272])])). 72.37/71.54 tff(f7813,plain,( 72.37/71.54 ~spl14_57 | spl14_272 | ~spl14_90), 72.37/71.54 inference(avatar_split_clause,[],[f7743,f1059,f7811,f624])). 72.37/71.54 tff(f7815,plain,( 72.37/71.54 spl14_274 <=> ! [X157 : uni,X156 : uni] : (~sort(a1,X157) | cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156)) = infix_plpl(a1,sK12(a1,t2tb(sK4),cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156))),cons(a1,t2tb(sK4),sK13(a1,t2tb(sK4),cons(a1,X157,infix_plpl(a1,t2tb3(sK3),X156))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_274])])). 72.37/71.54 tff(f7817,plain,( 72.37/71.54 ~spl14_61 | spl14_274 | ~spl14_92), 72.37/71.54 inference(avatar_split_clause,[],[f7744,f1099,f7815,f637])). 72.37/71.54 tff(f7819,plain,( 72.37/71.54 spl14_276 <=> ! [X159 : uni,X158 : uni] : (~sort(a1,X159) | cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X159,infix_plpl(a1,t2tb3(sK8),X158))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_276])])). 72.37/71.54 tff(f7821,plain,( 72.37/71.54 ~spl14_65 | spl14_276 | ~spl14_96), 72.37/71.54 inference(avatar_split_clause,[],[f7745,f1194,f7819,f650])). 72.37/71.54 tff(f7823,plain,( 72.37/71.54 spl14_278 <=> ! [X179 : uni,X178 : uni] : (~sort(a1,X179) | cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178))),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK13(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,X179,infix_plpl(a1,t2tb3(sK7),X178))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_278])])). 72.37/71.54 tff(f7825,plain,( 72.37/71.54 ~spl14_267 | spl14_278 | ~spl14_206), 72.37/71.54 inference(avatar_split_clause,[],[f7752,f6067,f7823,f7800])). 72.37/71.54 tff(f7826,plain,( 72.37/71.54 $false | ~spl14_267), 72.37/71.54 inference(resolution,[],[f7801,f192])). 72.37/71.54 tff(f7827,plain,( 72.37/71.54 spl14_267), 72.37/71.54 inference(avatar_contradiction_clause,[],[f7826])). 72.37/71.54 tff(f9129,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = cons_proj_1(a1,t2tb3(sK11)) | nil(a1) = t2tb3(sK11) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5729,f344])). 72.37/71.54 tff(f9130,plain,( 72.37/71.54 ( ! [X12:uni] : (cons_proj_1(a1,t2tb3(sK11)) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X12)) | nil(a1) = t2tb3(sK11)) ) | ~spl14_20), 72.37/71.54 inference(superposition,[],[f5729,f1103])). 72.37/71.54 tff(f9171,plain,( 72.37/71.54 spl14_280 <=> cons_proj_1(a1,t2tb3(sK7)) = cons_proj_1(a1,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_280])])). 72.37/71.54 tff(f9172,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = cons_proj_1(a1,t2tb3(sK11)) | ~spl14_280), 72.37/71.54 inference(avatar_component_clause,[],[f9171])). 72.37/71.54 tff(f9173,plain,( 72.37/71.54 spl14_52 | spl14_280 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f9129,f343,f9171,f496])). 72.37/71.54 tff(f9175,plain,( 72.37/71.54 spl14_282 <=> ! [X12 : uni] : cons_proj_1(a1,t2tb3(sK11)) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X12))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_282])])). 72.37/71.54 tff(f9176,plain,( 72.37/71.54 ( ! [X12:uni] : (cons_proj_1(a1,t2tb3(sK11)) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X12))) ) | ~spl14_282), 72.37/71.54 inference(avatar_component_clause,[],[f9175])). 72.37/71.54 tff(f9177,plain,( 72.37/71.54 spl14_52 | spl14_282 | ~spl14_20), 72.37/71.54 inference(avatar_split_clause,[],[f9130,f343,f9175,f496])). 72.37/71.54 tff(f9183,plain,( 72.37/71.54 ( ! [X12:uni] : (mem(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK7),X12))) ) | (~spl14_206 | ~spl14_280)), 72.37/71.54 inference(backward_demodulation,[],[f9172,f6068])). 72.37/71.54 tff(f9184,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)) | (~spl14_204 | ~spl14_280)), 72.37/71.54 inference(backward_demodulation,[],[f9172,f6064])). 72.37/71.54 tff(f9187,plain,( 72.37/71.54 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK11))) = t2tb3(sK11) | nil(a1) = t2tb3(sK11) | ~spl14_280), 72.37/71.54 inference(superposition,[],[f203,f9172])). 72.37/71.54 tff(f9196,plain,( 72.37/71.54 some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK11)) | nil(a1) = t2tb3(sK11) | ~spl14_280), 72.37/71.54 inference(superposition,[],[f1003,f9172])). 72.37/71.54 tff(f9197,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)) | nil(a1) = t2tb3(sK11) | ~spl14_280), 72.37/71.54 inference(superposition,[],[f1015,f9172])). 72.37/71.54 tff(f9199,plain,( 72.37/71.54 ( ! [X16:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X16)) = infix_plpl(a1,t2tb3(sK11),X16) | nil(a1) = t2tb3(sK11)) ) | ~spl14_280), 72.37/71.54 inference(superposition,[],[f1044,f9172])). 72.37/71.54 tff(f9209,plain,( 72.37/71.54 ( ! [X30:uni] : (mem(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),X30)) | nil(a1) = t2tb3(sK11)) ) | ~spl14_280), 72.37/71.54 inference(superposition,[],[f5809,f9172])). 72.37/71.54 tff(f9214,plain,( 72.37/71.54 spl14_284 <=> mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_284])])). 72.37/71.54 tff(f9215,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)) | ~spl14_284), 72.37/71.54 inference(avatar_component_clause,[],[f9214])). 72.37/71.54 tff(f9216,plain,( 72.37/71.54 spl14_284 | ~spl14_204 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9184,f9171,f6063,f9214])). 72.37/71.54 tff(f9221,plain,( 72.37/71.54 spl14_286 <=> cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK11))) = t2tb3(sK11)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_286])])). 72.37/71.54 tff(f9222,plain,( 72.37/71.54 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK11))) = t2tb3(sK11) | ~spl14_286), 72.37/71.54 inference(avatar_component_clause,[],[f9221])). 72.37/71.54 tff(f9223,plain,( 72.37/71.54 spl14_52 | spl14_286 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9187,f9171,f9221,f496])). 72.37/71.54 tff(f9228,plain,( 72.37/71.54 spl14_288 <=> some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_288])])). 72.37/71.54 tff(f9229,plain,( 72.37/71.54 some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK11)) | ~spl14_288), 72.37/71.54 inference(avatar_component_clause,[],[f9228])). 72.37/71.54 tff(f9230,plain,( 72.37/71.54 spl14_52 | spl14_288 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9196,f9171,f9228,f496])). 72.37/71.54 tff(f9235,plain,( 72.37/71.54 spl14_290 <=> mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_290])])). 72.37/71.54 tff(f9236,plain,( 72.37/71.54 mem(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)) | ~spl14_290), 72.37/71.54 inference(avatar_component_clause,[],[f9235])). 72.37/71.54 tff(f9237,plain,( 72.37/71.54 spl14_52 | spl14_290 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9197,f9171,f9235,f496])). 72.37/71.54 tff(f9239,plain,( 72.37/71.54 spl14_292 <=> ! [X16 : uni] : cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X16)) = infix_plpl(a1,t2tb3(sK11),X16)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_292])])). 72.37/71.54 tff(f9240,plain,( 72.37/71.54 ( ! [X16:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X16)) = infix_plpl(a1,t2tb3(sK11),X16)) ) | ~spl14_292), 72.37/71.54 inference(avatar_component_clause,[],[f9239])). 72.37/71.54 tff(f9241,plain,( 72.37/71.54 spl14_52 | spl14_292 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9199,f9171,f9239,f496])). 72.37/71.54 tff(f9243,plain,( 72.37/71.54 spl14_294 <=> ! [X30 : uni] : mem(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),X30))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_294])])). 72.37/71.54 tff(f9244,plain,( 72.37/71.54 ( ! [X30:uni] : (mem(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),X30))) ) | ~spl14_294), 72.37/71.54 inference(avatar_component_clause,[],[f9243])). 72.37/71.54 tff(f9245,plain,( 72.37/71.54 spl14_52 | spl14_294 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9209,f9171,f9243,f496])). 72.37/71.54 tff(f9246,plain,( 72.37/71.54 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK7))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7)))) ) | ~spl14_284), 72.37/71.54 inference(resolution,[],[f9215,f1318])). 72.37/71.54 tff(f9249,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)))) = t2tb3(sK7) | ~spl14_284), 72.37/71.54 inference(resolution,[],[f9215,f223])). 72.37/71.54 tff(f9254,plain,( 72.37/71.54 spl14_297 <=> ~sort(a1,cons_proj_1(a1,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_297])])). 72.37/71.54 tff(f9257,plain,( 72.37/71.54 spl14_298 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK7))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_298])])). 72.37/71.54 tff(f9259,plain,( 72.37/71.54 ~spl14_297 | spl14_298 | ~spl14_284), 72.37/71.54 inference(avatar_split_clause,[],[f9246,f9214,f9257,f9254])). 72.37/71.54 tff(f9264,plain,( 72.37/71.54 spl14_300 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK7)))) = t2tb3(sK7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_300])])). 72.37/71.54 tff(f9266,plain,( 72.37/71.54 spl14_300 | ~spl14_284), 72.37/71.54 inference(avatar_split_clause,[],[f9249,f9214,f9264])). 72.37/71.54 tff(f9267,plain,( 72.37/71.54 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK11))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK11))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7)))) ) | ~spl14_290), 72.37/71.54 inference(resolution,[],[f9236,f1318])). 72.37/71.54 tff(f9270,plain,( 72.37/71.54 infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)))) = t2tb3(sK11) | ~spl14_290), 72.37/71.54 inference(resolution,[],[f9236,f223])). 72.37/71.54 tff(f9272,plain,( 72.37/71.54 spl14_302 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK11))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X0,t2tb3(sK11))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_302])])). 72.37/71.54 tff(f9274,plain,( 72.37/71.54 ~spl14_297 | spl14_302 | ~spl14_290), 72.37/71.54 inference(avatar_split_clause,[],[f9267,f9235,f9272,f9254])). 72.37/71.54 tff(f9279,plain,( 72.37/71.54 spl14_304 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)))) = t2tb3(sK11)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_304])])). 72.37/71.54 tff(f9281,plain,( 72.37/71.54 spl14_304 | ~spl14_290), 72.37/71.54 inference(avatar_split_clause,[],[f9270,f9235,f9279])). 72.37/71.54 tff(f9283,plain,( 72.37/71.54 ( ! [X2:uni,X1:uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7)))) ) | ~spl14_294), 72.37/71.54 inference(resolution,[],[f9244,f1318])). 72.37/71.54 tff(f9292,plain,( 72.37/71.54 spl14_306 <=> ! [X1 : uni,X2 : uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK11),X1))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_306])])). 72.37/71.54 tff(f9294,plain,( 72.37/71.54 ~spl14_297 | spl14_306 | ~spl14_294), 72.37/71.54 inference(avatar_split_clause,[],[f9283,f9243,f9292,f9254])). 72.37/71.54 tff(f9296,plain,( 72.37/71.54 ( ! [X0:uni,X1:uni] : (length(a1,t2tb3(sK1)) != $sum(1,length(a1,X1)) | tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK10)))) != sK0) )), 72.37/71.54 inference(forward_demodulation,[],[f1046,f3113])). 72.37/71.54 tff(f9297,plain,( 72.37/71.54 ( ! [X12:uni] : (cons_proj_1(a1,t2tb3(sK7)) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X12))) ) | (~spl14_280 | ~spl14_282)), 72.37/71.54 inference(forward_demodulation,[],[f9176,f9172])). 72.37/71.54 tff(f9299,plain,( 72.37/71.54 ( ! [X2:uni,X1:uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1))))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7)))) ) | (~spl14_206 | ~spl14_280)), 72.37/71.54 inference(resolution,[],[f9183,f1318])). 72.37/71.54 tff(f9306,plain,( 72.37/71.54 spl14_308 <=> ! [X1 : uni,X2 : uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1))),cons(a1,cons_proj_1(a1,t2tb3(sK7)),sK13(a1,cons_proj_1(a1,t2tb3(sK7)),cons(a1,X2,infix_plpl(a1,t2tb3(sK7),X1))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_308])])). 72.37/71.54 tff(f9308,plain,( 72.37/71.54 ~spl14_297 | spl14_308 | ~spl14_206 | ~spl14_280), 72.37/71.54 inference(avatar_split_clause,[],[f9299,f9171,f6067,f9306,f9254])). 72.37/71.54 tff(f9310,plain,( 72.37/71.54 nth(a1,0,t2tb3(sK7)) = nth(a1,0,t2tb3(sK11)) | nil(a1) = t2tb3(sK7) | ~spl14_288), 72.37/71.54 inference(superposition,[],[f9229,f1003])). 72.37/71.54 tff(f9312,plain,( 72.37/71.54 nth(a1,0,t2tb3(sK7)) = nth(a1,0,t2tb3(sK11)) | nil(a1) = t2tb3(sK7) | ~spl14_288), 72.37/71.54 inference(superposition,[],[f1003,f9229])). 72.37/71.54 tff(f9313,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK11))) | ~spl14_288), 72.37/71.54 inference(superposition,[],[f549,f9229])). 72.37/71.54 tff(f9314,plain,( 72.37/71.54 none(a1) != nth(a1,0,t2tb3(sK11)) | ~spl14_288), 72.37/71.54 inference(superposition,[],[f194,f9229])). 72.37/71.54 tff(f9336,plain,( 72.37/71.54 some(a1,some_proj_1(a1,nth(a1,0,t2tb3(sK11)))) = nth(a1,0,t2tb3(sK11)) | ~spl14_288), 72.37/71.54 inference(superposition,[],[f1082,f9229])). 72.37/71.54 tff(f9352,plain,( 72.37/71.54 spl14_310 <=> nth(a1,0,t2tb3(sK7)) = nth(a1,0,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_310])])). 72.37/71.54 tff(f9353,plain,( 72.37/71.54 nth(a1,0,t2tb3(sK7)) = nth(a1,0,t2tb3(sK11)) | ~spl14_310), 72.37/71.54 inference(avatar_component_clause,[],[f9352])). 72.37/71.54 tff(f9354,plain,( 72.37/71.54 spl14_192 | spl14_310 | ~spl14_288), 72.37/71.54 inference(avatar_split_clause,[],[f9310,f9228,f9352,f5819])). 72.37/71.54 tff(f9355,plain,( 72.37/71.54 spl14_192 | spl14_310 | ~spl14_288), 72.37/71.54 inference(avatar_split_clause,[],[f9312,f9228,f9352,f5819])). 72.37/71.54 tff(f9360,plain,( 72.37/71.54 spl14_312 <=> cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_312])])). 72.37/71.54 tff(f9361,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK11))) | ~spl14_312), 72.37/71.54 inference(avatar_component_clause,[],[f9360])). 72.37/71.54 tff(f9362,plain,( 72.37/71.54 spl14_312 | ~spl14_288), 72.37/71.54 inference(avatar_split_clause,[],[f9313,f9228,f9360])). 72.37/71.54 tff(f9367,plain,( 72.37/71.54 spl14_315 <=> none(a1) != nth(a1,0,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_315])])). 72.37/71.54 tff(f9368,plain,( 72.37/71.54 none(a1) != nth(a1,0,t2tb3(sK11)) | ~spl14_315), 72.37/71.54 inference(avatar_component_clause,[],[f9367])). 72.37/71.54 tff(f9369,plain,( 72.37/71.54 ~spl14_315 | ~spl14_288), 72.37/71.54 inference(avatar_split_clause,[],[f9314,f9228,f9367])). 72.37/71.54 tff(f9374,plain,( 72.37/71.54 spl14_316 <=> some(a1,some_proj_1(a1,nth(a1,0,t2tb3(sK11)))) = nth(a1,0,t2tb3(sK11))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_316])])). 72.37/71.54 tff(f9376,plain,( 72.37/71.54 spl14_316 | ~spl14_288), 72.37/71.54 inference(avatar_split_clause,[],[f9336,f9228,f9374])). 72.37/71.54 tff(f9379,plain,( 72.37/71.54 ( ! [X3:uni] : (length(a1,t2tb3(sK1)) != $sum(1,0) | tb2t3(cons(a1,X3,infix_plpl(a1,nil(a1),t2tb3(sK10)))) != sK0) )), 72.37/71.54 inference(superposition,[],[f9296,f505])). 72.37/71.54 tff(f9381,plain,( 72.37/71.54 ( ! [X0:uni] : (length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK1)) | tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK3),t2tb3(sK10)))) != sK0) ) | ~spl14_174), 72.37/71.54 inference(superposition,[],[f9296,f3122])). 72.37/71.54 tff(f9383,plain,( 72.37/71.54 ( ! [X2:uni] : (length(a1,t2tb3(sK0)) != length(a1,t2tb3(sK1)) | tb2t3(cons(a1,X2,infix_plpl(a1,t2tb3(sK7),t2tb3(sK10)))) != sK0) ) | ~spl14_184), 72.37/71.54 inference(superposition,[],[f9296,f3253])). 72.37/71.54 tff(f9384,plain,( 72.37/71.54 ( ! [X3:uni] : (length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK8)) | tb2t3(cons(a1,X3,infix_plpl(a1,t2tb3(sK10),t2tb3(sK10)))) != sK0) ) | ~spl14_186), 72.37/71.54 inference(superposition,[],[f9296,f3261])). 72.37/71.54 tff(f9389,plain,( 72.37/71.54 ( ! [X0:uni] : (tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK3),t2tb3(sK10)))) != sK0) ) | ~spl14_174), 72.37/71.54 inference(trivial_inequality_removal,[],[f9381])). 72.37/71.54 tff(f9390,plain,( 72.37/71.54 ( ! [X3:uni] : (length(a1,t2tb3(sK1)) != 1 | tb2t3(cons(a1,X3,infix_plpl(a1,nil(a1),t2tb3(sK10)))) != sK0) )), 72.37/71.54 inference(evaluation,[],[f9379])). 72.37/71.54 tff(f9394,plain,( 72.37/71.54 ( ! [X3:uni] : (tb2t3(cons(a1,X3,t2tb3(sK10))) != sK0 | length(a1,t2tb3(sK1)) != 1) )), 72.37/71.54 inference(forward_demodulation,[],[f9390,f198])). 72.37/71.54 tff(f9399,plain,( 72.37/71.54 spl14_319 <=> length(a1,t2tb3(sK1)) != 1), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_319])])). 72.37/71.54 tff(f9402,plain,( 72.37/71.54 spl14_320 <=> ! [X3 : uni] : tb2t3(cons(a1,X3,t2tb3(sK10))) != sK0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_320])])). 72.37/71.54 tff(f9404,plain,( 72.37/71.54 ~spl14_319 | spl14_320), 72.37/71.54 inference(avatar_split_clause,[],[f9394,f9402,f9399])). 72.37/71.54 tff(f9407,plain,( 72.37/71.54 spl14_322 <=> ! [X2 : uni] : tb2t3(cons(a1,X2,infix_plpl(a1,t2tb3(sK7),t2tb3(sK10)))) != sK0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_322])])). 72.37/71.54 tff(f9413,plain,( 72.37/71.54 spl14_325 <=> length(a1,t2tb3(sK0)) != length(a1,t2tb3(sK1))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_325])])). 72.37/71.54 tff(f9415,plain,( 72.37/71.54 spl14_322 | ~spl14_325 | ~spl14_184), 72.37/71.54 inference(avatar_split_clause,[],[f9383,f3252,f9413,f9407])). 72.37/71.54 tff(f9417,plain,( 72.37/71.54 spl14_326 <=> ! [X3 : uni] : tb2t3(cons(a1,X3,infix_plpl(a1,t2tb3(sK10),t2tb3(sK10)))) != sK0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_326])])). 72.37/71.54 tff(f9423,plain,( 72.37/71.54 spl14_329 <=> length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK8))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_329])])). 72.37/71.54 tff(f9425,plain,( 72.37/71.54 spl14_326 | ~spl14_329 | ~spl14_186), 72.37/71.54 inference(avatar_split_clause,[],[f9384,f3260,f9423,f9417])). 72.37/71.54 tff(f9430,plain,( 72.37/71.54 some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK7)) | (~spl14_288 | ~spl14_310)), 72.37/71.54 inference(backward_demodulation,[],[f9353,f9229])). 72.37/71.54 tff(f9431,plain,( 72.37/71.54 none(a1) != nth(a1,0,t2tb3(sK7)) | (~spl14_310 | ~spl14_315)), 72.37/71.54 inference(superposition,[],[f9368,f9353])). 72.37/71.54 tff(f9433,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK11)) = some_proj_1(a1,nth(a1,0,t2tb3(sK7))) | nil(a1) = t2tb3(sK11) | ~spl14_310), 72.37/71.54 inference(superposition,[],[f2168,f9353])). 72.37/71.54 tff(f9434,plain,( 72.37/71.54 none(a1) != nth(a1,0,t2tb3(sK7)) | nil(a1) = t2tb3(sK11) | ~spl14_310), 72.37/71.54 inference(superposition,[],[f2169,f9353])). 72.37/71.54 tff(f9436,plain,( 72.37/71.54 ( ! [X0:$int] : (none(a1) != nth(a1,0,t2tb3(sK7)) | length(a1,t2tb3(sK11)) != X0 | ~$less(0,X0) | $less(0,0)) ) | ~spl14_310), 72.37/71.54 inference(superposition,[],[f255,f9353])). 72.37/71.54 tff(f9454,plain,( 72.37/71.54 ( ! [X0:$int] : (none(a1) != nth(a1,0,t2tb3(sK7)) | length(a1,t2tb3(sK11)) != X0 | ~$less(0,X0)) ) | ~spl14_310), 72.37/71.54 inference(evaluation,[],[f9436])). 72.37/71.54 tff(f9459,plain,( 72.37/71.54 spl14_330 <=> some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_330])])). 72.37/71.54 tff(f9460,plain,( 72.37/71.54 some(a1,cons_proj_1(a1,t2tb3(sK7))) = nth(a1,0,t2tb3(sK7)) | ~spl14_330), 72.37/71.54 inference(avatar_component_clause,[],[f9459])). 72.37/71.54 tff(f9461,plain,( 72.37/71.54 spl14_330 | ~spl14_288 | ~spl14_310), 72.37/71.54 inference(avatar_split_clause,[],[f9430,f9352,f9228,f9459])). 72.37/71.54 tff(f9466,plain,( 72.37/71.54 spl14_333 <=> none(a1) != nth(a1,0,t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_333])])). 72.37/71.54 tff(f9468,plain,( 72.37/71.54 ~spl14_333 | ~spl14_310 | spl14_315), 72.37/71.54 inference(avatar_split_clause,[],[f9431,f9367,f9352,f9466])). 72.37/71.54 tff(f9469,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK7))) | nil(a1) = t2tb3(sK11) | (~spl14_280 | ~spl14_310)), 72.37/71.54 inference(forward_demodulation,[],[f9433,f9172])). 72.37/71.54 tff(f9474,plain,( 72.37/71.54 spl14_334 <=> cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_334])])). 72.37/71.54 tff(f9476,plain,( 72.37/71.54 spl14_52 | spl14_334 | ~spl14_280 | ~spl14_310), 72.37/71.54 inference(avatar_split_clause,[],[f9469,f9352,f9171,f9474,f496])). 72.37/71.54 tff(f9477,plain,( 72.37/71.54 spl14_52 | ~spl14_333 | ~spl14_310), 72.37/71.54 inference(avatar_split_clause,[],[f9434,f9352,f9466,f496])). 72.37/71.54 tff(f9478,plain,( 72.37/71.54 ( ! [X0:$int] : (length(a1,t2tb3(sK5)) != X0 | none(a1) != nth(a1,0,t2tb3(sK7)) | ~$less(0,X0)) ) | (~spl14_4 | ~spl14_310)), 72.37/71.54 inference(forward_demodulation,[],[f9454,f281])). 72.37/71.54 tff(f9480,plain,( 72.37/71.54 spl14_336 <=> ! [X0 : $int] : (length(a1,t2tb3(sK5)) != X0 | ~$less(0,X0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_336])])). 72.37/71.54 tff(f9482,plain,( 72.37/71.54 ~spl14_333 | spl14_336 | ~spl14_4 | ~spl14_310), 72.37/71.54 inference(avatar_split_clause,[],[f9478,f9352,f280,f9480,f9466])). 72.37/71.54 tff(f9497,plain,( 72.37/71.54 tb2t3(infix_plpl(a1,t2tb3(sK1),t2tb3(sK10))) != sK0 | (~spl14_26 | ~spl14_174)), 72.37/71.54 inference(superposition,[],[f9389,f1040])). 72.37/71.54 tff(f9503,plain,( 72.37/71.54 spl14_339 <=> tb2t3(infix_plpl(a1,t2tb3(sK1),t2tb3(sK10))) != sK0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_339])])). 72.37/71.54 tff(f9505,plain,( 72.37/71.54 ~spl14_339 | ~spl14_26 | ~spl14_174), 72.37/71.54 inference(avatar_split_clause,[],[f9497,f3121,f367,f9503])). 72.37/71.54 tff(f9507,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK7))) | ~spl14_330), 72.37/71.54 inference(superposition,[],[f549,f9460])). 72.37/71.54 tff(f9530,plain,( 72.37/71.54 some(a1,some_proj_1(a1,nth(a1,0,t2tb3(sK7)))) = nth(a1,0,t2tb3(sK7)) | ~spl14_330), 72.37/71.54 inference(superposition,[],[f1082,f9460])). 72.37/71.54 tff(f9540,plain,( 72.37/71.54 ( ! [X68:uni] : (mem(option(a1),nth(a1,0,t2tb3(sK7)),cons(option(a1),nth(a1,0,t2tb3(sK7)),X68))) ) | ~spl14_330), 72.37/71.54 inference(superposition,[],[f4459,f9460])). 72.37/71.54 tff(f9542,plain,( 72.37/71.54 spl14_334 | ~spl14_330), 72.37/71.54 inference(avatar_split_clause,[],[f9507,f9459,f9474])). 72.37/71.54 tff(f9547,plain,( 72.37/71.54 spl14_340 <=> some(a1,some_proj_1(a1,nth(a1,0,t2tb3(sK7)))) = nth(a1,0,t2tb3(sK7))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_340])])). 72.37/71.54 tff(f9549,plain,( 72.37/71.54 spl14_340 | ~spl14_330), 72.37/71.54 inference(avatar_split_clause,[],[f9530,f9459,f9547])). 72.37/71.54 tff(f9551,plain,( 72.37/71.54 cons_proj_1(a1,t2tb3(sK7)) = some_proj_1(a1,nth(a1,0,t2tb3(sK7))) | (~spl14_310 | ~spl14_312)), 72.37/71.54 inference(forward_demodulation,[],[f9361,f9353])). 72.37/71.54 tff(f9552,plain,( 72.37/71.54 spl14_334 | ~spl14_310 | ~spl14_312), 72.37/71.54 inference(avatar_split_clause,[],[f9551,f9360,f9352,f9474])). 72.37/71.54 tff(f9606,plain,( 72.37/71.54 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK11)) | ~mem(a1,X1,cons_proj_2(a1,t2tb3(sK11))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X1)) ) | ~spl14_286), 72.37/71.54 inference(superposition,[],[f205,f9222])). 72.37/71.54 tff(f9607,plain,( 72.37/71.54 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK11)) | mem(a1,X2,cons_proj_2(a1,t2tb3(sK11))) | cons_proj_1(a1,t2tb3(sK7)) = X2 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X2)) ) | ~spl14_286), 72.37/71.54 inference(superposition,[],[f207,f9222])). 72.37/71.54 tff(f9627,plain,( 72.37/71.54 ( ! [X48:uni] : (mem(a1,X48,t2tb3(sK11)) | ~mem(a1,X48,cons_proj_2(a1,t2tb3(sK11)))) ) | ~spl14_286), 72.37/71.54 inference(superposition,[],[f2357,f9222])). 72.37/71.54 tff(f9628,plain,( 72.37/71.54 length(a1,t2tb3(sK11)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_286), 72.37/71.54 inference(superposition,[],[f3113,f9222])). 72.37/71.54 tff(f9631,plain,( 72.37/71.54 spl14_342 <=> ! [X1 : uni] : (mem(a1,X1,t2tb3(sK11)) | ~sort(a1,X1) | ~mem(a1,X1,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_342])])). 72.37/71.54 tff(f9633,plain,( 72.37/71.54 ~spl14_297 | spl14_342 | ~spl14_286), 72.37/71.54 inference(avatar_split_clause,[],[f9606,f9221,f9631,f9254])). 72.37/71.54 tff(f9635,plain,( 72.37/71.54 spl14_344 <=> ! [X2 : uni] : (~mem(a1,X2,t2tb3(sK11)) | ~sort(a1,X2) | cons_proj_1(a1,t2tb3(sK7)) = X2 | mem(a1,X2,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_344])])). 72.37/71.54 tff(f9637,plain,( 72.37/71.54 ~spl14_297 | spl14_344 | ~spl14_286), 72.37/71.54 inference(avatar_split_clause,[],[f9607,f9221,f9635,f9254])). 72.37/71.54 tff(f9641,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11)))) | (~spl14_4 | ~spl14_286)), 72.37/71.54 inference(forward_demodulation,[],[f9628,f281])). 72.37/71.54 tff(f9646,plain,( 72.37/71.54 spl14_346 <=> length(a1,t2tb3(sK5)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_346])])). 72.37/71.54 tff(f9647,plain,( 72.37/71.54 length(a1,t2tb3(sK5)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_346), 72.37/71.54 inference(avatar_component_clause,[],[f9646])). 72.37/71.54 tff(f9648,plain,( 72.37/71.54 spl14_346 | ~spl14_4 | ~spl14_286), 72.37/71.54 inference(avatar_split_clause,[],[f9641,f9221,f280,f9646])). 72.37/71.54 tff(f9796,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X7:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0 | X6 = X7 | true = X7) )), 72.37/71.54 inference(superposition,[],[f579,f509])). 72.37/71.54 tff(f9797,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0 | X7 = X8 | true = X8) )), 72.37/71.54 inference(superposition,[],[f580,f509])). 72.37/71.54 tff(f9799,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0 | X7 = X8 | true = X8) )), 72.37/71.54 inference(superposition,[],[f582,f509])). 72.37/71.54 tff(f9803,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X5:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | true = X0 | X4 = X5 | true = X5) )), 72.37/71.54 inference(superposition,[],[f586,f509])). 72.37/71.54 tff(f9804,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0 | X5 = X6 | true = X6) )), 72.37/71.54 inference(superposition,[],[f587,f509])). 72.37/71.54 tff(f9822,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true != X0 | X0 = X1 | true = false | X1 = X2 | true = X2) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f323,f509])). 72.37/71.54 tff(f9880,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X7:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | X6 = X7 | true = X7 | true = X0) )), 72.37/71.54 inference(superposition,[],[f579,f509])). 72.37/71.54 tff(f9881,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | X7 = X8 | true = X8 | true = X0) )), 72.37/71.54 inference(superposition,[],[f580,f509])). 72.37/71.54 tff(f9883,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | X7 = X8 | true = X8 | true = X0) )), 72.37/71.54 inference(superposition,[],[f582,f509])). 72.37/71.54 tff(f9887,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X5:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | X4 = X5 | true = X5 | true = X0) )), 72.37/71.54 inference(superposition,[],[f586,f509])). 72.37/71.54 tff(f9888,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | X5 = X6 | true = X6 | true = X0) )), 72.37/71.54 inference(superposition,[],[f587,f509])). 72.37/71.54 tff(f9906,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true != X0 | X0 = X1 | X1 = X2 | true = X2 | true = false) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f323,f509])). 72.37/71.54 tff(f9933,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X3:bool,X1:bool] : (true = X0 | true = X0 | X1 = X2 | X2 = X3 | true = X3 | false = X1) )), 72.37/71.54 inference(superposition,[],[f188,f509])). 72.37/71.54 tff(f10005,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true != true | X1 = X2 | X0 = X2 | true = X0 | X0 = X1) )), 72.37/71.54 inference(equality_factoring,[],[f509])). 72.37/71.54 tff(f10008,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (X1 = X2 | X0 = X2 | true = X0 | X0 = X1) )), 72.37/71.54 inference(trivial_inequality_removal,[],[f10005])). 72.37/71.54 tff(f10054,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X3:bool,X1:bool] : (true = X0 | X1 = X2 | X2 = X3 | true = X3 | false = X1) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f9933])). 72.37/71.54 tff(f10055,plain,( 72.37/71.54 ( ! [X2:bool,X3:bool,X1:bool] : (X1 = X2 | X2 = X3 | true = X3 | false = X1) )), 72.37/71.54 inference(condensation,[],[f10054])). 72.37/71.54 tff(f10124,plain,( 72.37/71.54 spl14_348 <=> ! [X7 : bool,X6 : bool] : (false = X6 | true = X7 | X6 = X7)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_348])])). 72.37/71.54 tff(f10125,plain,( 72.37/71.54 ( ! [X6:bool,X7:bool] : (false = X6 | true = X7 | X6 = X7) ) | ~spl14_348), 72.37/71.54 inference(avatar_component_clause,[],[f10124])). 72.37/71.54 tff(f10127,plain,( 72.37/71.54 spl14_350 <=> ! [X1 : ty,X3 : uni,X5 : uni,X0 : bool,X2 : bool,X4 : uni] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_350])])). 72.37/71.54 tff(f10129,plain,( 72.37/71.54 spl14_348 | spl14_350), 72.37/71.54 inference(avatar_split_clause,[],[f9796,f10127,f10124])). 72.37/71.54 tff(f10131,plain,( 72.37/71.54 spl14_352 <=> ! [X1 : ty,X3 : ty,X5 : uni,X0 : bool,X2 : uni,X4 : uni,X6 : uni] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_352])])). 72.37/71.54 tff(f10133,plain,( 72.37/71.54 spl14_348 | spl14_352), 72.37/71.54 inference(avatar_split_clause,[],[f9797,f10131,f10124])). 72.37/71.54 tff(f10135,plain,( 72.37/71.54 spl14_354 <=> ! [X1 : ty,X3 : ty,X5 : uni,X0 : bool,X2 : uni,X4 : uni,X6 : uni] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_354])])). 72.37/71.54 tff(f10137,plain,( 72.37/71.54 spl14_348 | spl14_354), 72.37/71.54 inference(avatar_split_clause,[],[f9799,f10135,f10124])). 72.37/71.54 tff(f10139,plain,( 72.37/71.54 spl14_356 <=> ! [X1 : ty,X3 : uni,X0 : bool,X2 : uni] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_356])])). 72.37/71.54 tff(f10141,plain,( 72.37/71.54 spl14_348 | spl14_356), 72.37/71.54 inference(avatar_split_clause,[],[f9803,f10139,f10124])). 72.37/71.54 tff(f10143,plain,( 72.37/71.54 spl14_358 <=> ! [X1 : ty,X3 : $int,X0 : bool,X2 : uni,X4 : uni] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_358])])). 72.37/71.54 tff(f10145,plain,( 72.37/71.54 spl14_348 | spl14_358), 72.37/71.54 inference(avatar_split_clause,[],[f9804,f10143,f10124])). 72.37/71.54 tff(f10147,plain,( 72.37/71.54 spl14_360 <=> ! [X1 : bool,X0 : bool,X2 : bool] : (true != X0 | true = X2 | X1 = X2 | X0 = X1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_360])])). 72.37/71.54 tff(f10149,plain,( 72.37/71.54 spl14_16 | spl14_360 | spl14_17), 72.37/71.54 inference(avatar_split_clause,[],[f9822,f322,f10147,f319])). 72.37/71.54 tff(f10174,plain,( 72.37/71.54 spl14_348 | spl14_350), 72.37/71.54 inference(avatar_split_clause,[],[f9880,f10127,f10124])). 72.37/71.54 tff(f10175,plain,( 72.37/71.54 spl14_348 | spl14_352), 72.37/71.54 inference(avatar_split_clause,[],[f9881,f10131,f10124])). 72.37/71.54 tff(f10176,plain,( 72.37/71.54 spl14_348 | spl14_354), 72.37/71.54 inference(avatar_split_clause,[],[f9883,f10135,f10124])). 72.37/71.54 tff(f10177,plain,( 72.37/71.54 spl14_348 | spl14_356), 72.37/71.54 inference(avatar_split_clause,[],[f9887,f10139,f10124])). 72.37/71.54 tff(f10178,plain,( 72.37/71.54 spl14_348 | spl14_358), 72.37/71.54 inference(avatar_split_clause,[],[f9888,f10143,f10124])). 72.37/71.54 tff(f10179,plain,( 72.37/71.54 spl14_16 | spl14_360 | spl14_17), 72.37/71.54 inference(avatar_split_clause,[],[f9906,f322,f10147,f319])). 72.37/71.54 tff(f10245,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK11))) | (~spl14_231 | ~spl14_286)), 72.37/71.54 inference(resolution,[],[f9627,f6250])). 72.37/71.54 tff(f10254,plain,( 72.37/71.54 spl14_363 <=> ~mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_363])])). 72.37/71.54 tff(f10255,plain,( 72.37/71.54 ~mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK11))) | ~spl14_363), 72.37/71.54 inference(avatar_component_clause,[],[f10254])). 72.37/71.54 tff(f10256,plain,( 72.37/71.54 ~spl14_363 | spl14_231 | ~spl14_286), 72.37/71.54 inference(avatar_split_clause,[],[f10245,f9221,f6249,f10254])). 72.37/71.54 tff(f10345,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (X0 = X1 | true = X2 | X1 = X2 | true = X0 | true = false) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f10125,f327])). 72.37/71.54 tff(f10346,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (X0 = X1 | true = X2 | X1 = X2 | true = false | true = X0) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f10125,f327])). 72.37/71.54 tff(f10351,plain,( 72.37/71.54 ( ! [X4:bool,X2:bool,X0:bool,X3:bool,X1:bool] : (X0 = X1 | true = X2 | X1 = X2 | X0 = X3 | true = false | X3 = X4 | true = X4) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f10125,f509])). 72.37/71.54 tff(f10354,plain,( 72.37/71.54 ( ! [X4:bool,X2:bool,X0:bool,X3:bool,X1:bool] : (X0 = X1 | true = X2 | X1 = X2 | X0 = X3 | X3 = X4 | true = X4 | true = false) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f10125,f509])). 72.37/71.54 tff(f10406,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (true = X0 | true = X0 | false = X1 | false = X1) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f188,f10125])). 72.37/71.54 tff(f10408,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X1:uni] : (witness(X0) = match_bool(X0,true,X1,witness(X0)) | false = X2 | false = X2) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f578,f10125])). 72.37/71.54 tff(f10409,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:ty,X5:bool,X3:uni,X1:bool] : (match_bool(X0,X1,X2,X3) = match_bool(X0,true,X4,match_bool(X0,X1,X2,X3)) | false = X5 | false = X5) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f579,f10125])). 72.37/71.54 tff(f10410,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_list(X0,X2,X3,X4,X5)) = match_list(X0,X2,X3,X4,X5) | false = X6 | false = X6) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f580,f10125])). 72.37/71.54 tff(f10411,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,cons_proj_1(X0,X2)) = cons_proj_1(X0,X2) | false = X3 | false = X3) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f581,f10125])). 72.37/71.54 tff(f10412,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_option(X0,X2,X3,X4,X5)) = match_option(X0,X2,X3,X4,X5) | false = X6 | false = X6) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f582,f10125])). 72.37/71.54 tff(f10413,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,some_proj_1(X0,X2)) = some_proj_1(X0,X2) | false = X3 | false = X3) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f583,f10125])). 72.37/71.54 tff(f10414,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(list(X0),true,X1,X2) = X2 | false = X3 | false = X3) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f584,f10125])). 72.37/71.54 tff(f10415,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X1:uni] : (match_bool(option(X0),true,X1,none(X0)) = none(X0) | false = X2 | false = X2) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f585,f10125])). 72.37/71.54 tff(f10416,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(option(X0),true,X1,some(X0,X2)) = some(X0,X2) | false = X3 | false = X3) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f586,f10125])). 72.37/71.54 tff(f10417,plain,( 72.37/71.54 ( ! [X4:bool,X2:$int,X0:ty,X3:uni,X1:uni] : (match_bool(option(X0),true,X1,nth(X0,X2,X3)) = nth(X0,X2,X3) | false = X4 | false = X4) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f587,f10125])). 72.37/71.54 tff(f10418,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X1:option_a1] : (match_bool(option(a1),true,X0,t2tb4(X1)) = t2tb4(X1) | false = X2 | false = X2) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f588,f10125])). 72.37/71.54 tff(f10419,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X1:a] : (match_bool(a1,true,X0,t2tb(X1)) = t2tb(X1) | false = X2 | false = X2) ) | ~spl14_348), 72.37/71.54 inference(superposition,[],[f589,f10125])). 72.37/71.54 tff(f10480,plain,( 72.37/71.54 ( ! [X0:bool] : (true != X0 | true = false | false = X0) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10481,plain,( 72.37/71.54 ( ! [X0:bool] : (X0 != X0 | true = false | false = X0) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10484,plain,( 72.37/71.54 ( ! [X0:bool] : (X0 != X0 | true = false | true = X0) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10488,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (false != X1 | false = X0 | true = X1) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10489,plain,( 72.37/71.54 ( ! [X0:bool] : (X0 != X0 | true = false | true = X0) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10490,plain,( 72.37/71.54 ( ! [X0:bool] : (X0 != X0 | false = X0 | true = false) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10491,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (true != X1 | false = X1 | true = X0) ) | ~spl14_348), 72.37/71.54 inference(equality_factoring,[],[f10125])). 72.37/71.54 tff(f10492,plain,( 72.37/71.54 ( ! [X0:bool] : (false = X0 | true = false) ) | ~spl14_348), 72.37/71.54 inference(trivial_inequality_removal,[],[f10490])). 72.37/71.54 tff(f10493,plain,( 72.37/71.54 true = false | ~spl14_348), 72.37/71.54 inference(condensation,[],[f10492])). 72.37/71.54 tff(f10494,plain,( 72.37/71.54 ( ! [X0:bool] : (true = false | true = X0) ) | ~spl14_348), 72.37/71.54 inference(trivial_inequality_removal,[],[f10489])). 72.37/71.54 tff(f10495,plain,( 72.37/71.54 true = false | ~spl14_348), 72.37/71.54 inference(condensation,[],[f10494])). 72.37/71.54 tff(f10498,plain,( 72.37/71.54 ( ! [X0:bool] : (true = false | true = X0) ) | ~spl14_348), 72.37/71.54 inference(trivial_inequality_removal,[],[f10484])). 72.37/71.54 tff(f10499,plain,( 72.37/71.54 true = false | ~spl14_348), 72.37/71.54 inference(condensation,[],[f10498])). 72.37/71.54 tff(f10501,plain,( 72.37/71.54 ( ! [X0:bool] : (true = false | false = X0) ) | ~spl14_348), 72.37/71.54 inference(trivial_inequality_removal,[],[f10481])). 72.37/71.54 tff(f10502,plain,( 72.37/71.54 true = false | ~spl14_348), 72.37/71.54 inference(condensation,[],[f10501])). 72.37/71.54 tff(f10503,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X1:a] : (match_bool(a1,true,X0,t2tb(X1)) = t2tb(X1) | false = X2) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10419])). 72.37/71.54 tff(f10504,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X1:option_a1] : (match_bool(option(a1),true,X0,t2tb4(X1)) = t2tb4(X1) | false = X2) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10418])). 72.37/71.54 tff(f10505,plain,( 72.37/71.54 ( ! [X4:bool,X2:$int,X0:ty,X3:uni,X1:uni] : (match_bool(option(X0),true,X1,nth(X0,X2,X3)) = nth(X0,X2,X3) | false = X4) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10417])). 72.37/71.54 tff(f10506,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(option(X0),true,X1,some(X0,X2)) = some(X0,X2) | false = X3) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10416])). 72.37/71.54 tff(f10507,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X1:uni] : (match_bool(option(X0),true,X1,none(X0)) = none(X0) | false = X2) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10415])). 72.37/71.54 tff(f10508,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(list(X0),true,X1,X2) = X2 | false = X3) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10414])). 72.37/71.54 tff(f10509,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,some_proj_1(X0,X2)) = some_proj_1(X0,X2) | false = X3) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10413])). 72.37/71.54 tff(f10510,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_option(X0,X2,X3,X4,X5)) = match_option(X0,X2,X3,X4,X5) | false = X6) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10412])). 72.37/71.54 tff(f10511,plain,( 72.37/71.54 ( ! [X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,cons_proj_1(X0,X2)) = cons_proj_1(X0,X2) | false = X3) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10411])). 72.37/71.54 tff(f10512,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_list(X0,X2,X3,X4,X5)) = match_list(X0,X2,X3,X4,X5) | false = X6) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10410])). 72.37/71.54 tff(f10513,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:ty,X5:bool,X3:uni,X1:bool] : (match_bool(X0,X1,X2,X3) = match_bool(X0,true,X4,match_bool(X0,X1,X2,X3)) | false = X5) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10409])). 72.37/71.54 tff(f10514,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X1:uni] : (witness(X0) = match_bool(X0,true,X1,witness(X0)) | false = X2) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10408])). 72.37/71.54 tff(f10517,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (true = X0 | false = X1) ) | ~spl14_348), 72.37/71.54 inference(duplicate_literal_removal,[],[f10406])). 72.37/71.54 tff(f10524,plain,( 72.37/71.54 spl14_364 <=> ! [X1 : bool,X0 : bool,X2 : bool] : (X0 = X1 | true = X0 | X1 = X2 | true = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_364])])). 72.37/71.54 tff(f10526,plain,( 72.37/71.54 spl14_16 | spl14_364 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10345,f10124,f10524,f319])). 72.37/71.54 tff(f10527,plain,( 72.37/71.54 spl14_16 | spl14_364 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10346,f10124,f10524,f319])). 72.37/71.54 tff(f10529,plain,( 72.37/71.54 spl14_366 <=> ! [X1 : bool,X3 : bool,X0 : bool,X2 : bool,X4 : bool] : (X0 = X1 | true = X4 | X3 = X4 | X0 = X3 | X1 = X2 | true = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_366])])). 72.37/71.54 tff(f10531,plain,( 72.37/71.54 spl14_16 | spl14_366 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10351,f10124,f10529,f319])). 72.37/71.54 tff(f10532,plain,( 72.37/71.54 spl14_16 | spl14_366 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10354,f10124,f10529,f319])). 72.37/71.54 tff(f10534,plain,( 72.37/71.54 spl14_368 <=> ! [X1 : bool] : false = X1), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_368])])). 72.37/71.54 tff(f10535,plain,( 72.37/71.54 ( ! [X1:bool] : (false = X1) ) | ~spl14_368), 72.37/71.54 inference(avatar_component_clause,[],[f10534])). 72.37/71.54 tff(f10537,plain,( 72.37/71.54 spl14_370 <=> ! [X0 : bool] : true = X0), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_370])])). 72.37/71.54 tff(f10539,plain,( 72.37/71.54 spl14_368 | spl14_370 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10517,f10124,f10537,f10534])). 72.37/71.54 tff(f10541,plain,( 72.37/71.54 spl14_372 <=> ! [X1 : uni,X0 : ty] : witness(X0) = match_bool(X0,true,X1,witness(X0))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_372])])). 72.37/71.54 tff(f10543,plain,( 72.37/71.54 spl14_368 | spl14_372 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10514,f10124,f10541,f10534])). 72.37/71.54 tff(f10545,plain,( 72.37/71.54 spl14_374 <=> ! [X1 : bool,X3 : uni,X0 : ty,X2 : uni,X4 : uni] : match_bool(X0,X1,X2,X3) = match_bool(X0,true,X4,match_bool(X0,X1,X2,X3))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_374])])). 72.37/71.54 tff(f10547,plain,( 72.37/71.54 spl14_368 | spl14_374 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10513,f10124,f10545,f10534])). 72.37/71.54 tff(f10549,plain,( 72.37/71.54 spl14_376 <=> ! [X1 : uni,X3 : uni,X5 : uni,X0 : ty,X2 : ty,X4 : uni] : match_bool(X0,true,X1,match_list(X0,X2,X3,X4,X5)) = match_list(X0,X2,X3,X4,X5)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_376])])). 72.37/71.54 tff(f10551,plain,( 72.37/71.54 spl14_368 | spl14_376 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10512,f10124,f10549,f10534])). 72.37/71.54 tff(f10553,plain,( 72.37/71.54 spl14_378 <=> ! [X1 : uni,X0 : ty,X2 : uni] : match_bool(X0,true,X1,cons_proj_1(X0,X2)) = cons_proj_1(X0,X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_378])])). 72.37/71.54 tff(f10555,plain,( 72.37/71.54 spl14_368 | spl14_378 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10511,f10124,f10553,f10534])). 72.37/71.54 tff(f10557,plain,( 72.37/71.54 spl14_380 <=> ! [X1 : uni,X3 : uni,X5 : uni,X0 : ty,X2 : ty,X4 : uni] : match_bool(X0,true,X1,match_option(X0,X2,X3,X4,X5)) = match_option(X0,X2,X3,X4,X5)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_380])])). 72.37/71.54 tff(f10559,plain,( 72.37/71.54 spl14_368 | spl14_380 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10510,f10124,f10557,f10534])). 72.37/71.54 tff(f10561,plain,( 72.37/71.54 spl14_382 <=> ! [X1 : uni,X0 : ty,X2 : uni] : match_bool(X0,true,X1,some_proj_1(X0,X2)) = some_proj_1(X0,X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_382])])). 72.37/71.54 tff(f10563,plain,( 72.37/71.54 spl14_368 | spl14_382 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10509,f10124,f10561,f10534])). 72.37/71.54 tff(f10565,plain,( 72.37/71.54 spl14_384 <=> ! [X1 : uni,X0 : ty,X2 : uni] : match_bool(list(X0),true,X1,X2) = X2), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_384])])). 72.37/71.54 tff(f10567,plain,( 72.37/71.54 spl14_368 | spl14_384 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10508,f10124,f10565,f10534])). 72.37/71.54 tff(f10569,plain,( 72.37/71.54 spl14_386 <=> ! [X1 : uni,X0 : ty] : match_bool(option(X0),true,X1,none(X0)) = none(X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_386])])). 72.37/71.54 tff(f10571,plain,( 72.37/71.54 spl14_368 | spl14_386 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10507,f10124,f10569,f10534])). 72.37/71.54 tff(f10573,plain,( 72.37/71.54 spl14_388 <=> ! [X1 : uni,X0 : ty,X2 : uni] : match_bool(option(X0),true,X1,some(X0,X2)) = some(X0,X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_388])])). 72.37/71.54 tff(f10575,plain,( 72.37/71.54 spl14_368 | spl14_388 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10506,f10124,f10573,f10534])). 72.37/71.54 tff(f10577,plain,( 72.37/71.54 spl14_390 <=> ! [X1 : uni,X3 : uni,X0 : ty,X2 : $int] : match_bool(option(X0),true,X1,nth(X0,X2,X3)) = nth(X0,X2,X3)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_390])])). 72.37/71.54 tff(f10579,plain,( 72.37/71.54 spl14_368 | spl14_390 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10505,f10124,f10577,f10534])). 72.37/71.54 tff(f10581,plain,( 72.37/71.54 spl14_392 <=> ! [X1 : option_a1,X0 : uni] : match_bool(option(a1),true,X0,t2tb4(X1)) = t2tb4(X1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_392])])). 72.37/71.54 tff(f10583,plain,( 72.37/71.54 spl14_368 | spl14_392 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10504,f10124,f10581,f10534])). 72.37/71.54 tff(f10585,plain,( 72.37/71.54 spl14_394 <=> ! [X1 : a,X0 : uni] : match_bool(a1,true,X0,t2tb(X1)) = t2tb(X1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_394])])). 72.37/71.54 tff(f10587,plain,( 72.37/71.54 spl14_368 | spl14_394 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10503,f10124,f10585,f10534])). 72.37/71.54 tff(f10589,plain,( 72.37/71.54 spl14_396 <=> ! [X0 : bool] : (true != X0 | false = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_396])])). 72.37/71.54 tff(f10591,plain,( 72.37/71.54 spl14_16 | spl14_396 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10480,f10124,f10589,f319])). 72.37/71.54 tff(f10592,plain,( 72.37/71.54 spl14_16 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10502,f10124,f319])). 72.37/71.54 tff(f10593,plain,( 72.37/71.54 spl14_16 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10499,f10124,f319])). 72.37/71.54 tff(f10595,plain,( 72.37/71.54 spl14_398 <=> ! [X1 : bool] : (false != X1 | true = X1)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_398])])). 72.37/71.54 tff(f10597,plain,( 72.37/71.54 spl14_368 | spl14_398 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10488,f10124,f10595,f10534])). 72.37/71.54 tff(f10598,plain,( 72.37/71.54 spl14_16 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10495,f10124,f319])). 72.37/71.54 tff(f10599,plain,( 72.37/71.54 spl14_16 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10493,f10124,f319])). 72.37/71.54 tff(f10600,plain,( 72.37/71.54 spl14_370 | spl14_396 | ~spl14_348), 72.37/71.54 inference(avatar_split_clause,[],[f10491,f10124,f10589,f10537])). 72.37/71.54 tff(f10744,plain,( 72.37/71.54 ( ! [X2:ty,X0:bool,X3:uni,X1:bool] : (true != X1 | witness(X2) = match_bool(X2,X1,witness(X2),X3) | true = X0) )), 72.37/71.54 inference(equality_factoring,[],[f605])). 72.37/71.54 tff(f10769,plain,( 72.37/71.54 spl14_400 <=> ! [X1 : bool,X3 : uni,X2 : ty] : (true != X1 | witness(X2) = match_bool(X2,X1,witness(X2),X3))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_400])])). 72.37/71.54 tff(f10770,plain,( 72.37/71.54 ( ! [X2:ty,X3:uni,X1:bool] : (true != X1 | witness(X2) = match_bool(X2,X1,witness(X2),X3)) ) | ~spl14_400), 72.37/71.54 inference(avatar_component_clause,[],[f10769])). 72.37/71.54 tff(f10771,plain,( 72.37/71.54 spl14_370 | spl14_400), 72.37/71.54 inference(avatar_split_clause,[],[f10744,f10769,f10537])). 72.37/71.54 tff(f10942,plain,( 72.37/71.54 ( ! [X2:a,X0:bool,X3:uni,X1:bool] : (true != X1 | match_bool(a1,X1,t2tb(X2),X3) = t2tb(X2) | true = X0) )), 72.37/71.54 inference(equality_factoring,[],[f610])). 72.37/71.54 tff(f10966,plain,( 72.37/71.54 spl14_402 <=> ! [X1 : bool,X3 : uni,X2 : a] : (true != X1 | match_bool(a1,X1,t2tb(X2),X3) = t2tb(X2))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_402])])). 72.37/71.54 tff(f10967,plain,( 72.37/71.54 ( ! [X2:a,X3:uni,X1:bool] : (true != X1 | match_bool(a1,X1,t2tb(X2),X3) = t2tb(X2)) ) | ~spl14_402), 72.37/71.54 inference(avatar_component_clause,[],[f10966])). 72.37/71.54 tff(f10968,plain,( 72.37/71.54 spl14_370 | spl14_402), 72.37/71.54 inference(avatar_split_clause,[],[f10942,f10966,f10537])). 72.37/71.54 tff(f11365,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true = X0 | true = X0 | X1 = X2 | false = X2 | false = X1) )), 72.37/71.54 inference(superposition,[],[f188,f10008])). 72.37/71.54 tff(f11367,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X3:bool,X1:uni] : (witness(X0) = match_bool(X0,true,X1,witness(X0)) | X2 = X3 | false = X3 | false = X2) )), 72.37/71.54 inference(superposition,[],[f578,f10008])). 72.37/71.54 tff(f11368,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:uni,X0:ty,X5:bool,X3:uni,X1:bool] : (match_bool(X0,X1,X2,X3) = match_bool(X0,true,X4,match_bool(X0,X1,X2,X3)) | X5 = X6 | false = X6 | false = X5) )), 72.37/71.54 inference(superposition,[],[f579,f10008])). 72.37/71.54 tff(f11369,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X7:bool,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_list(X0,X2,X3,X4,X5)) = match_list(X0,X2,X3,X4,X5) | X6 = X7 | false = X7 | false = X6) )), 72.37/71.54 inference(superposition,[],[f580,f10008])). 72.37/71.54 tff(f11370,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,cons_proj_1(X0,X2)) = cons_proj_1(X0,X2) | X3 = X4 | false = X4 | false = X3) )), 72.37/71.54 inference(superposition,[],[f581,f10008])). 72.37/71.54 tff(f11371,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:ty,X0:ty,X7:bool,X5:uni,X3:uni,X1:uni] : (match_bool(X0,true,X1,match_option(X0,X2,X3,X4,X5)) = match_option(X0,X2,X3,X4,X5) | X6 = X7 | false = X7 | false = X6) )), 72.37/71.54 inference(superposition,[],[f582,f10008])). 72.37/71.54 tff(f11372,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(X0,true,X1,some_proj_1(X0,X2)) = some_proj_1(X0,X2) | X3 = X4 | false = X4 | false = X3) )), 72.37/71.54 inference(superposition,[],[f583,f10008])). 72.37/71.54 tff(f11373,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(list(X0),true,X1,X2) = X2 | X3 = X4 | false = X4 | false = X3) )), 72.37/71.54 inference(superposition,[],[f584,f10008])). 72.37/71.54 tff(f11374,plain,( 72.37/71.54 ( ! [X2:bool,X0:ty,X3:bool,X1:uni] : (match_bool(option(X0),true,X1,none(X0)) = none(X0) | X2 = X3 | false = X3 | false = X2) )), 72.37/71.54 inference(superposition,[],[f585,f10008])). 72.37/71.54 tff(f11375,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:ty,X3:bool,X1:uni] : (match_bool(option(X0),true,X1,some(X0,X2)) = some(X0,X2) | X3 = X4 | false = X4 | false = X3) )), 72.37/71.54 inference(superposition,[],[f586,f10008])). 72.37/71.54 tff(f11376,plain,( 72.37/71.54 ( ! [X4:bool,X2:$int,X0:ty,X5:bool,X3:uni,X1:uni] : (match_bool(option(X0),true,X1,nth(X0,X2,X3)) = nth(X0,X2,X3) | X4 = X5 | false = X5 | false = X4) )), 72.37/71.54 inference(superposition,[],[f587,f10008])). 72.37/71.54 tff(f11377,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X3:bool,X1:option_a1] : (match_bool(option(a1),true,X0,t2tb4(X1)) = t2tb4(X1) | X2 = X3 | false = X3 | false = X2) )), 72.37/71.54 inference(superposition,[],[f588,f10008])). 72.37/71.54 tff(f11378,plain,( 72.37/71.54 ( ! [X2:bool,X0:uni,X3:bool,X1:a] : (match_bool(a1,true,X0,t2tb(X1)) = t2tb(X1) | X2 = X3 | false = X3 | false = X2) )), 72.37/71.54 inference(superposition,[],[f589,f10008])). 72.37/71.54 tff(f11465,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true != X1 | X1 = X2 | X0 = X1 | X0 = X2) )), 72.37/71.54 inference(equality_factoring,[],[f10008])). 72.37/71.54 tff(f11482,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (true = X0 | X1 = X2 | false = X2 | false = X1) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f11365])). 72.37/71.54 tff(f11540,plain,( 72.37/71.54 spl14_404 <=> ! [X1 : bool,X2 : bool] : (X1 = X2 | false = X1 | false = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_404])])). 72.37/71.54 tff(f11542,plain,( 72.37/71.54 spl14_404 | spl14_370), 72.37/71.54 inference(avatar_split_clause,[],[f11482,f10537,f11540])). 72.37/71.54 tff(f11543,plain,( 72.37/71.54 spl14_404 | spl14_372), 72.37/71.54 inference(avatar_split_clause,[],[f11367,f10541,f11540])). 72.37/71.54 tff(f11544,plain,( 72.37/71.54 spl14_404 | spl14_374), 72.37/71.54 inference(avatar_split_clause,[],[f11368,f10545,f11540])). 72.37/71.54 tff(f11545,plain,( 72.37/71.54 spl14_404 | spl14_376), 72.37/71.54 inference(avatar_split_clause,[],[f11369,f10549,f11540])). 72.37/71.54 tff(f11546,plain,( 72.37/71.54 spl14_404 | spl14_378), 72.37/71.54 inference(avatar_split_clause,[],[f11370,f10553,f11540])). 72.37/71.54 tff(f11547,plain,( 72.37/71.54 spl14_404 | spl14_380), 72.37/71.54 inference(avatar_split_clause,[],[f11371,f10557,f11540])). 72.37/71.54 tff(f11548,plain,( 72.37/71.54 spl14_404 | spl14_382), 72.37/71.54 inference(avatar_split_clause,[],[f11372,f10561,f11540])). 72.37/71.54 tff(f11549,plain,( 72.37/71.54 spl14_404 | spl14_384), 72.37/71.54 inference(avatar_split_clause,[],[f11373,f10565,f11540])). 72.37/71.54 tff(f11550,plain,( 72.37/71.54 spl14_404 | spl14_386), 72.37/71.54 inference(avatar_split_clause,[],[f11374,f10569,f11540])). 72.37/71.54 tff(f11551,plain,( 72.37/71.54 spl14_404 | spl14_388), 72.37/71.54 inference(avatar_split_clause,[],[f11375,f10573,f11540])). 72.37/71.54 tff(f11552,plain,( 72.37/71.54 spl14_404 | spl14_390), 72.37/71.54 inference(avatar_split_clause,[],[f11376,f10577,f11540])). 72.37/71.54 tff(f11553,plain,( 72.37/71.54 spl14_404 | spl14_392), 72.37/71.54 inference(avatar_split_clause,[],[f11377,f10581,f11540])). 72.37/71.54 tff(f11554,plain,( 72.37/71.54 spl14_404 | spl14_394), 72.37/71.54 inference(avatar_split_clause,[],[f11378,f10585,f11540])). 72.37/71.54 tff(f11567,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (X0 = X1 | X1 = X2 | X0 = X2) )), 72.37/71.54 inference(global_subsumption,[],[f10008,f11465])). 72.37/71.54 tff(f11590,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (true != X0 | X0 = X1 | false = X1) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f323,f11567])). 72.37/71.54 tff(f11912,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X3:bool,X1:bool] : (X0 != X1 | X1 = X2 | false = X2 | X0 = X3 | true = X3 | true = false) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f11590,f10055])). 72.37/71.54 tff(f11986,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0 | false = X6) )), 72.37/71.54 inference(superposition,[],[f579,f10055])). 72.37/71.54 tff(f11987,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0 | false = X7) )), 72.37/71.54 inference(superposition,[],[f580,f10055])). 72.37/71.54 tff(f11989,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0 | false = X7) )), 72.37/71.54 inference(superposition,[],[f582,f10055])). 72.37/71.54 tff(f11994,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0 | false = X5) )), 72.37/71.54 inference(superposition,[],[f587,f10055])). 72.37/71.54 tff(f12084,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (false != X1 | X1 = X2 | true = X2 | false = X0) )), 72.37/71.54 inference(equality_factoring,[],[f10055])). 72.37/71.54 tff(f12137,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f11994])). 72.37/71.54 tff(f12142,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f11989])). 72.37/71.54 tff(f12144,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f11987])). 72.37/71.54 tff(f12145,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f11986])). 72.37/71.54 tff(f12178,plain,( 72.37/71.54 spl14_406 <=> ! [X1 : bool,X3 : bool,X0 : bool,X2 : bool] : (X0 != X1 | true = X3 | X0 = X3 | false = X2 | X1 = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_406])])). 72.37/71.54 tff(f12180,plain,( 72.37/71.54 spl14_16 | spl14_406 | spl14_17), 72.37/71.54 inference(avatar_split_clause,[],[f11912,f322,f12178,f319])). 72.37/71.54 tff(f12181,plain,( 72.37/71.54 spl14_368 | spl14_350), 72.37/71.54 inference(avatar_split_clause,[],[f12145,f10127,f10534])). 72.37/71.54 tff(f12182,plain,( 72.37/71.54 spl14_368 | spl14_352), 72.37/71.54 inference(avatar_split_clause,[],[f12144,f10131,f10534])). 72.37/71.54 tff(f12183,plain,( 72.37/71.54 spl14_368 | spl14_354), 72.37/71.54 inference(avatar_split_clause,[],[f12142,f10135,f10534])). 72.37/71.54 tff(f12184,plain,( 72.37/71.54 spl14_368 | spl14_358), 72.37/71.54 inference(avatar_split_clause,[],[f12137,f10143,f10534])). 72.37/71.54 tff(f12198,plain,( 72.37/71.54 spl14_408 <=> ! [X1 : bool,X2 : bool] : (false != X1 | true = X2 | X1 = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_408])])). 72.37/71.54 tff(f12200,plain,( 72.37/71.54 spl14_368 | spl14_408), 72.37/71.54 inference(avatar_split_clause,[],[f12084,f12198,f10534])). 72.37/71.54 tff(f12231,plain,( 72.37/71.54 ( ! [X0:bool] : (true != X0) ) | (~spl14_17 | ~spl14_368)), 72.37/71.54 inference(superposition,[],[f323,f10535])). 72.37/71.54 tff(f12379,plain,( 72.37/71.54 $false | (~spl14_17 | ~spl14_368)), 72.37/71.54 inference(equality_resolution,[],[f12231])). 72.37/71.54 tff(f12380,plain,( 72.37/71.54 spl14_17 | ~spl14_368), 72.37/71.54 inference(avatar_contradiction_clause,[],[f12379])). 72.37/71.54 tff(f12381,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X1:bool] : (X0 = X1 | X0 = X2 | X1 = X2) )), 72.37/71.54 inference(global_subsumption,[],[f11567])). 72.37/71.54 tff(f12566,plain,( 72.37/71.54 ( ! [X0:bool,X1:bool] : (true != X0 | false = X1 | X0 = X1) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f323,f12381])). 72.37/71.54 tff(f12923,plain,( 72.37/71.54 ( ! [X4:bool,X2:bool,X0:bool,X3:bool,X1:bool] : (X0 = X1 | X1 = X2 | X2 = X3 | true = X3 | false = X4 | true = X0 | false = X4) )), 72.37/71.54 inference(superposition,[],[f10055,f10055])). 72.37/71.54 tff(f12948,plain,( 72.37/71.54 ( ! [X2:bool,X0:bool,X3:bool,X1:bool] : (X0 != X1 | false = X2 | X1 = X2 | X0 = X3 | true = X3 | true = false) ) | ~spl14_17), 72.37/71.54 inference(superposition,[],[f12566,f10055])). 72.37/71.54 tff(f13014,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0 | false = X6) )), 72.37/71.54 inference(superposition,[],[f579,f10055])). 72.37/71.54 tff(f13015,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0 | false = X7) )), 72.37/71.54 inference(superposition,[],[f580,f10055])). 72.37/71.54 tff(f13016,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,X2,cons_proj_1(X1,X3)) = cons_proj_1(X1,X3) | false = X4 | true = X0 | false = X4) )), 72.37/71.54 inference(superposition,[],[f581,f10055])). 72.37/71.54 tff(f13017,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0 | false = X7) )), 72.37/71.54 inference(superposition,[],[f582,f10055])). 72.37/71.54 tff(f13018,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,X2,some_proj_1(X1,X3)) = some_proj_1(X1,X3) | false = X4 | true = X0 | false = X4) )), 72.37/71.54 inference(superposition,[],[f583,f10055])). 72.37/71.54 tff(f13021,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | true = X0 | false = X4) )), 72.37/71.54 inference(superposition,[],[f586,f10055])). 72.37/71.54 tff(f13022,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0 | false = X5) )), 72.37/71.54 inference(superposition,[],[f587,f10055])). 72.37/71.54 tff(f13023,plain,( 72.37/71.54 ( ! [X2:option_a1,X0:bool,X3:bool,X1:uni] : (match_bool(option(a1),X0,X1,t2tb4(X2)) = t2tb4(X2) | false = X3 | true = X0 | false = X3) )), 72.37/71.54 inference(superposition,[],[f588,f10055])). 72.37/71.54 tff(f13159,plain,( 72.37/71.54 ( ! [X2:option_a1,X0:bool,X3:bool,X1:uni] : (match_bool(option(a1),X0,X1,t2tb4(X2)) = t2tb4(X2) | false = X3 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13023])). 72.37/71.54 tff(f13160,plain,( 72.37/71.54 ( ! [X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13022])). 72.37/71.54 tff(f13161,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13021])). 72.37/71.54 tff(f13164,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,X2,some_proj_1(X1,X3)) = some_proj_1(X1,X3) | false = X4 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13018])). 72.37/71.54 tff(f13165,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13017])). 72.37/71.54 tff(f13166,plain,( 72.37/71.54 ( ! [X4:bool,X2:uni,X0:bool,X3:uni,X1:ty] : (match_bool(X1,X0,X2,cons_proj_1(X1,X3)) = cons_proj_1(X1,X3) | false = X4 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13016])). 72.37/71.54 tff(f13167,plain,( 72.37/71.54 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13015])). 72.37/71.54 tff(f13168,plain,( 72.37/71.54 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f13014])). 72.37/71.54 tff(f13172,plain,( 72.37/71.54 ( ! [X4:bool,X2:bool,X0:bool,X3:bool,X1:bool] : (X0 = X1 | X1 = X2 | X2 = X3 | true = X3 | false = X4 | true = X0) )), 72.37/71.54 inference(duplicate_literal_removal,[],[f12923])). 72.37/71.54 tff(f13177,plain,( 72.37/71.54 spl14_410 <=> ! [X1 : bool,X3 : bool,X0 : bool,X2 : bool] : (X0 = X1 | true = X0 | true = X3 | X2 = X3 | X1 = X2)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_410])])). 72.37/71.54 tff(f13179,plain,( 72.37/71.54 spl14_368 | spl14_410), 72.37/71.54 inference(avatar_split_clause,[],[f13172,f13177,f10534])). 72.37/71.54 tff(f13196,plain,( 72.37/71.54 spl14_16 | spl14_406 | spl14_17), 72.37/71.54 inference(avatar_split_clause,[],[f12948,f322,f12178,f319])). 72.37/71.54 tff(f13197,plain,( 72.37/71.54 spl14_368 | spl14_350), 72.37/71.54 inference(avatar_split_clause,[],[f13168,f10127,f10534])). 72.37/71.54 tff(f13198,plain,( 72.37/71.54 spl14_368 | spl14_352), 72.37/71.54 inference(avatar_split_clause,[],[f13167,f10131,f10534])). 72.37/71.54 tff(f13200,plain,( 72.37/71.54 spl14_412 <=> ! [X1 : ty,X3 : uni,X0 : bool,X2 : uni] : (match_bool(X1,X0,X2,cons_proj_1(X1,X3)) = cons_proj_1(X1,X3) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_412])])). 72.37/71.54 tff(f13202,plain,( 72.37/71.54 spl14_368 | spl14_412), 72.37/71.54 inference(avatar_split_clause,[],[f13166,f13200,f10534])). 72.37/71.54 tff(f13203,plain,( 72.37/71.54 spl14_368 | spl14_354), 72.37/71.54 inference(avatar_split_clause,[],[f13165,f10135,f10534])). 72.37/71.54 tff(f13205,plain,( 72.37/71.54 spl14_414 <=> ! [X1 : ty,X3 : uni,X0 : bool,X2 : uni] : (match_bool(X1,X0,X2,some_proj_1(X1,X3)) = some_proj_1(X1,X3) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_414])])). 72.37/71.54 tff(f13207,plain,( 72.37/71.54 spl14_368 | spl14_414), 72.37/71.54 inference(avatar_split_clause,[],[f13164,f13205,f10534])). 72.37/71.54 tff(f13208,plain,( 72.37/71.54 spl14_368 | spl14_356), 72.37/71.54 inference(avatar_split_clause,[],[f13161,f10139,f10534])). 72.37/71.54 tff(f13209,plain,( 72.37/71.54 spl14_368 | spl14_358), 72.37/71.54 inference(avatar_split_clause,[],[f13160,f10143,f10534])). 72.37/71.54 tff(f13211,plain,( 72.37/71.54 spl14_416 <=> ! [X1 : uni,X0 : bool,X2 : option_a1] : (match_bool(option(a1),X0,X1,t2tb4(X2)) = t2tb4(X2) | true = X0)), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_416])])). 72.37/71.54 tff(f13213,plain,( 72.37/71.54 spl14_368 | spl14_416), 72.37/71.54 inference(avatar_split_clause,[],[f13159,f13211,f10534])). 72.37/71.54 tff(f13469,plain,( 72.37/71.54 ( ! [X2:uni,X1:uni] : (~sort(option(a1),X2) | cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1)) = infix_plpl(option(a1),sK12(option(a1),nth(a1,0,t2tb3(sK7)),cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1))),cons(option(a1),nth(a1,0,t2tb3(sK7)),sK13(option(a1),nth(a1,0,t2tb3(sK7)),cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1))))) | ~sort(option(a1),nth(a1,0,t2tb3(sK7)))) ) | ~spl14_330), 72.37/71.54 inference(resolution,[],[f9540,f1318])). 72.37/71.54 tff(f13478,plain,( 72.37/71.54 spl14_419 <=> ~sort(option(a1),nth(a1,0,t2tb3(sK7)))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_419])])). 72.37/71.54 tff(f13479,plain,( 72.37/71.54 ~sort(option(a1),nth(a1,0,t2tb3(sK7))) | ~spl14_419), 72.37/71.54 inference(avatar_component_clause,[],[f13478])). 72.37/71.54 tff(f13481,plain,( 72.37/71.54 spl14_420 <=> ! [X1 : uni,X2 : uni] : (~sort(option(a1),X2) | cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1)) = infix_plpl(option(a1),sK12(option(a1),nth(a1,0,t2tb3(sK7)),cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1))),cons(option(a1),nth(a1,0,t2tb3(sK7)),sK13(option(a1),nth(a1,0,t2tb3(sK7)),cons(option(a1),X2,cons(option(a1),nth(a1,0,t2tb3(sK7)),X1))))))), 72.37/71.54 introduced(avatar_definition,[new_symbols(naming,[spl14_420])])). 72.37/71.54 tff(f13483,plain,( 72.37/71.54 ~spl14_419 | spl14_420 | ~spl14_330), 72.37/71.54 inference(avatar_split_clause,[],[f13469,f9459,f13481,f13478])). 72.37/71.55 tff(f13485,plain,( 72.37/71.55 $false | ~spl14_419), 72.37/71.55 inference(resolution,[],[f13479,f215])). 72.37/71.55 tff(f13486,plain,( 72.37/71.55 spl14_419), 72.37/71.55 inference(avatar_contradiction_clause,[],[f13485])). 72.37/71.55 tff(f13643,plain,( 72.37/71.55 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X7:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | true = X0 | X6 = X7 | true = X7) )), 72.37/71.55 inference(superposition,[],[f579,f509])). 72.37/71.55 tff(f13644,plain,( 72.37/71.55 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | true = X0 | X7 = X8 | true = X8) )), 72.37/71.55 inference(superposition,[],[f580,f509])). 72.37/71.55 tff(f13646,plain,( 72.37/71.55 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | true = X0 | X7 = X8 | true = X8) )), 72.37/71.55 inference(superposition,[],[f582,f509])). 72.37/71.55 tff(f13650,plain,( 72.37/71.55 ( ! [X4:bool,X2:uni,X0:bool,X5:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | true = X0 | X4 = X5 | true = X5) )), 72.37/71.55 inference(superposition,[],[f586,f509])). 72.37/71.55 tff(f13651,plain,( 72.37/71.55 ( ! [X6:bool,X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | true = X0 | X5 = X6 | true = X6) )), 72.37/71.55 inference(superposition,[],[f587,f509])). 72.37/71.55 tff(f13742,plain,( 72.37/71.55 ( ! [X6:bool,X4:uni,X2:bool,X0:bool,X7:bool,X5:uni,X3:uni,X1:ty] : (match_bool(X1,X2,X3,X4) = match_bool(X1,X0,X5,match_bool(X1,X2,X3,X4)) | false = X6 | X6 = X7 | true = X7 | true = X0) )), 72.37/71.55 inference(superposition,[],[f579,f509])). 72.37/71.55 tff(f13743,plain,( 72.37/71.55 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_list(X1,X3,X4,X5,X6)) = match_list(X1,X3,X4,X5,X6) | false = X7 | X7 = X8 | true = X8 | true = X0) )), 72.37/71.55 inference(superposition,[],[f580,f509])). 72.37/71.55 tff(f13745,plain,( 72.37/71.55 ( ! [X6:uni,X4:uni,X2:uni,X0:bool,X8:bool,X7:bool,X5:uni,X3:ty,X1:ty] : (match_bool(X1,X0,X2,match_option(X1,X3,X4,X5,X6)) = match_option(X1,X3,X4,X5,X6) | false = X7 | X7 = X8 | true = X8 | true = X0) )), 72.37/71.55 inference(superposition,[],[f582,f509])). 72.37/71.55 tff(f13749,plain,( 72.37/71.55 ( ! [X4:bool,X2:uni,X0:bool,X5:bool,X3:uni,X1:ty] : (match_bool(option(X1),X0,X2,some(X1,X3)) = some(X1,X3) | false = X4 | X4 = X5 | true = X5 | true = X0) )), 72.37/71.55 inference(superposition,[],[f586,f509])). 72.37/71.55 tff(f13750,plain,( 72.37/71.55 ( ! [X6:bool,X4:uni,X2:uni,X0:bool,X5:bool,X3:$int,X1:ty] : (match_bool(option(X1),X0,X2,nth(X1,X3,X4)) = nth(X1,X3,X4) | false = X5 | X5 = X6 | true = X6 | true = X0) )), 72.37/71.55 inference(superposition,[],[f587,f509])). 72.37/71.55 tff(f14011,plain,( 72.37/71.55 spl14_348 | spl14_350), 72.37/71.55 inference(avatar_split_clause,[],[f13643,f10127,f10124])). 72.37/71.55 tff(f14012,plain,( 72.37/71.55 spl14_348 | spl14_352), 72.37/71.55 inference(avatar_split_clause,[],[f13644,f10131,f10124])). 72.37/71.55 tff(f14013,plain,( 72.37/71.55 spl14_348 | spl14_354), 72.37/71.55 inference(avatar_split_clause,[],[f13646,f10135,f10124])). 72.37/71.55 tff(f14014,plain,( 72.37/71.55 spl14_348 | spl14_356), 72.37/71.55 inference(avatar_split_clause,[],[f13650,f10139,f10124])). 72.37/71.55 tff(f14015,plain,( 72.37/71.55 spl14_348 | spl14_358), 72.37/71.55 inference(avatar_split_clause,[],[f13651,f10143,f10124])). 72.37/71.55 tff(f14030,plain,( 72.37/71.55 spl14_348 | spl14_350), 72.37/71.55 inference(avatar_split_clause,[],[f13742,f10127,f10124])). 72.37/71.55 tff(f14031,plain,( 72.37/71.55 spl14_348 | spl14_352), 72.37/71.55 inference(avatar_split_clause,[],[f13743,f10131,f10124])). 72.37/71.55 tff(f14032,plain,( 72.37/71.55 spl14_348 | spl14_354), 72.37/71.55 inference(avatar_split_clause,[],[f13745,f10135,f10124])). 72.37/71.55 tff(f14033,plain,( 72.37/71.55 spl14_348 | spl14_356), 72.37/71.55 inference(avatar_split_clause,[],[f13749,f10139,f10124])). 72.37/71.55 tff(f14034,plain,( 72.37/71.55 spl14_348 | spl14_358), 72.37/71.55 inference(avatar_split_clause,[],[f13750,f10143,f10124])). 72.37/71.55 tff(f14196,plain,( 72.37/71.55 ( ! [X2:ty,X0:bool,X3:uni,X1:bool] : (true != X1 | witness(X2) = match_bool(X2,X1,witness(X2),X3) | true = X0) )), 72.37/71.55 inference(equality_factoring,[],[f605])). 72.37/71.55 tff(f14222,plain,( 72.37/71.55 spl14_370 | spl14_400), 72.37/71.55 inference(avatar_split_clause,[],[f14196,f10769,f10537])). 72.37/71.55 tff(f14232,plain,( 72.37/71.55 ( ! [X4:bool,X2:ty,X0:bool,X3:uni,X1:bool] : (X0 != X1 | witness(X2) = match_bool(X2,X1,witness(X2),X3) | X0 = X4 | true = X4 | true = false) ) | ~spl14_400), 72.37/71.55 inference(superposition,[],[f10770,f10055])). 72.37/71.55 tff(f14254,plain,( 72.37/71.55 spl14_422 <=> ! [X1 : bool,X3 : uni,X0 : bool,X2 : ty,X4 : bool] : (X0 != X1 | true = X4 | X0 = X4 | witness(X2) = match_bool(X2,X1,witness(X2),X3))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_422])])). 72.37/71.55 tff(f14256,plain,( 72.37/71.55 spl14_16 | spl14_422 | ~spl14_400), 72.37/71.55 inference(avatar_split_clause,[],[f14232,f10769,f14254,f319])). 72.37/71.55 tff(f14266,plain,( 72.37/71.55 ( ! [X4:bool,X2:a,X0:bool,X3:uni,X1:bool] : (X0 != X1 | match_bool(a1,X1,t2tb(X2),X3) = t2tb(X2) | X0 = X4 | true = X4 | true = false) ) | ~spl14_402), 72.37/71.55 inference(superposition,[],[f10967,f10055])). 72.37/71.55 tff(f14288,plain,( 72.37/71.55 spl14_424 <=> ! [X1 : bool,X3 : uni,X0 : bool,X2 : a,X4 : bool] : (X0 != X1 | true = X4 | X0 = X4 | match_bool(a1,X1,t2tb(X2),X3) = t2tb(X2))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_424])])). 72.37/71.55 tff(f14290,plain,( 72.37/71.55 spl14_16 | spl14_424 | ~spl14_402), 72.37/71.55 inference(avatar_split_clause,[],[f14266,f10966,f14288,f319])). 72.37/71.55 tff(f14515,plain,( 72.37/71.55 ( ! [X1:uni] : (cons_proj_1(a1,t2tb3(sK7)) = cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X1))) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f675,f9240])). 72.37/71.55 tff(f14524,plain,( 72.37/71.55 ( ! [X17:uni,X16:uni] : (mem(a1,X17,infix_plpl(a1,t2tb3(sK11),X16)) | ~mem(a1,X17,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X16)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X17)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f205,f9240])). 72.37/71.55 tff(f14525,plain,( 72.37/71.55 ( ! [X19:uni,X18:uni] : (~mem(a1,X19,infix_plpl(a1,t2tb3(sK11),X18)) | mem(a1,X19,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X18)) | cons_proj_1(a1,t2tb3(sK7)) = X19 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X19)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f207,f9240])). 72.37/71.55 tff(f14527,plain,( 72.37/71.55 ( ! [X21:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK11),X21)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X21)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f216,f9240])). 72.37/71.55 tff(f14546,plain,( 72.37/71.55 ( ! [X85:uni,X86:uni] : (mem(a1,X86,infix_plpl(a1,t2tb3(sK11),X85)) | ~mem(a1,X86,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X85))) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f2357,f9240])). 72.37/71.55 tff(f14554,plain,( 72.37/71.55 spl14_426 <=> ! [X16 : uni,X17 : uni] : (mem(a1,X17,infix_plpl(a1,t2tb3(sK11),X16)) | ~sort(a1,X17) | ~mem(a1,X17,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X16)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_426])])). 72.37/71.55 tff(f14556,plain,( 72.37/71.55 ~spl14_297 | spl14_426 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f14524,f9239,f14554,f9254])). 72.37/71.55 tff(f14558,plain,( 72.37/71.55 spl14_428 <=> ! [X18 : uni,X19 : uni] : (~mem(a1,X19,infix_plpl(a1,t2tb3(sK11),X18)) | ~sort(a1,X19) | cons_proj_1(a1,t2tb3(sK7)) = X19 | mem(a1,X19,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X18)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_428])])). 72.37/71.55 tff(f14560,plain,( 72.37/71.55 ~spl14_297 | spl14_428 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f14525,f9239,f14558,f9254])). 72.37/71.55 tff(f14825,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),t2tb3(sK8)) | (~spl14_20 | ~spl14_292)), 72.37/71.55 inference(superposition,[],[f14527,f344])). 72.37/71.55 tff(f14828,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0)) = X1 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f1409,f14527])). 72.37/71.55 tff(f14829,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK11),X2)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X2))) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X2)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f1241,f14527])). 72.37/71.55 tff(f14836,plain,( 72.37/71.55 spl14_430 <=> cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),t2tb3(sK8))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_430])])). 72.37/71.55 tff(f14837,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),t2tb3(sK8)) | ~spl14_430), 72.37/71.55 inference(avatar_component_clause,[],[f14836])). 72.37/71.55 tff(f14838,plain,( 72.37/71.55 spl14_430 | ~spl14_20 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f14825,f9239,f343,f14836])). 72.37/71.55 tff(f14839,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f14828,f14515])). 72.37/71.55 tff(f14840,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f14839,f14515])). 72.37/71.55 tff(f14842,plain,( 72.37/71.55 spl14_432 <=> ! [X1 : uni,X0 : uni] : (cons_proj_1(a1,t2tb3(sK7)) = X1 | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0) | ~sort(a1,X1) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_432])])). 72.37/71.55 tff(f14844,plain,( 72.37/71.55 spl14_432 | ~spl14_297 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f14840,f9239,f9254,f14842])). 72.37/71.55 tff(f14845,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK11),X2)) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X2)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f14829,f14515])). 72.37/71.55 tff(f14847,plain,( 72.37/71.55 spl14_434 <=> ! [X3 : uni,X2 : uni] : (~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X2)) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X2) | ~sort(a1,X3) | mem(a1,X3,infix_plpl(a1,t2tb3(sK11),X2)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_434])])). 72.37/71.55 tff(f14849,plain,( 72.37/71.55 spl14_434 | ~spl14_297 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f14845,f9239,f9254,f14847])). 72.37/71.55 tff(f14854,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) | (~spl14_292 | ~spl14_430)), 72.37/71.55 inference(superposition,[],[f9240,f14837])). 72.37/71.55 tff(f14855,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) | nil(a1) = t2tb3(sK11) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f1044,f14837])). 72.37/71.55 tff(f14856,plain,( 72.37/71.55 ( ! [X0:uni] : (infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),infix_plpl(a1,t2tb3(sK8),X0))) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f230,f14837])). 72.37/71.55 tff(f14857,plain,( 72.37/71.55 ( ! [X1:uni] : (mem(a1,X1,cons_proj_2(a1,t2tb3(sK7))) | ~mem(a1,X1,cons_proj_2(a1,t2tb3(sK11)))) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f235,f14837])). 72.37/71.55 tff(f14865,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5729,f14837])). 72.37/71.55 tff(f14866,plain,( 72.37/71.55 nil(a1) != cons_proj_2(a1,t2tb3(sK7)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5736,f14837])). 72.37/71.55 tff(f14867,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5809,f14837])). 72.37/71.55 tff(f14868,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | (~spl14_20 | ~spl14_292 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f14854,f344])). 72.37/71.55 tff(f14873,plain,( 72.37/71.55 spl14_436 <=> cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_436])])). 72.37/71.55 tff(f14874,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | ~spl14_436), 72.37/71.55 inference(avatar_component_clause,[],[f14873])). 72.37/71.55 tff(f14875,plain,( 72.37/71.55 spl14_436 | ~spl14_20 | ~spl14_292 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f14868,f14836,f9239,f343,f14873])). 72.37/71.55 tff(f14876,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | nil(a1) = t2tb3(sK11) | (~spl14_20 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f14855,f344])). 72.37/71.55 tff(f14877,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | nil(a1) = t2tb3(sK11) | (~spl14_20 | ~spl14_280 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f14876,f9172])). 72.37/71.55 tff(f14878,plain,( 72.37/71.55 spl14_52 | spl14_436 | ~spl14_20 | ~spl14_280 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f14877,f14836,f9171,f343,f14873,f496])). 72.37/71.55 tff(f14883,plain,( 72.37/71.55 spl14_438 <=> nil(a1) = cons_proj_2(a1,t2tb3(sK11))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_438])])). 72.37/71.55 tff(f14884,plain,( 72.37/71.55 nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_438), 72.37/71.55 inference(avatar_component_clause,[],[f14883])). 72.37/71.55 tff(f14889,plain,( 72.37/71.55 spl14_440 <=> cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_440])])). 72.37/71.55 tff(f14890,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_440), 72.37/71.55 inference(avatar_component_clause,[],[f14889])). 72.37/71.55 tff(f14891,plain,( 72.37/71.55 spl14_438 | spl14_440 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f14865,f14836,f14889,f14883])). 72.37/71.55 tff(f14893,plain,( 72.37/71.55 spl14_442 <=> nil(a1) = cons_proj_2(a1,t2tb3(sK7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_442])])). 72.37/71.55 tff(f14896,plain,( 72.37/71.55 spl14_443 <=> nil(a1) != cons_proj_2(a1,t2tb3(sK7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_443])])). 72.37/71.55 tff(f14898,plain,( 72.37/71.55 spl14_438 | ~spl14_443 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f14866,f14836,f14896,f14883])). 72.37/71.55 tff(f14903,plain,( 72.37/71.55 spl14_444 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_444])])). 72.37/71.55 tff(f14904,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))) | ~spl14_444), 72.37/71.55 inference(avatar_component_clause,[],[f14903])). 72.37/71.55 tff(f14905,plain,( 72.37/71.55 spl14_438 | spl14_444 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f14867,f14836,f14903,f14883])). 72.37/71.55 tff(f14911,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11)))) | nil(a1) = t2tb3(sK7) | ~spl14_444), 72.37/71.55 inference(resolution,[],[f14904,f1241])). 72.37/71.55 tff(f14912,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))))) ) | ~spl14_444), 72.37/71.55 inference(resolution,[],[f14904,f1318])). 72.37/71.55 tff(f14915,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))))) | ~spl14_444), 72.37/71.55 inference(resolution,[],[f14904,f223])). 72.37/71.55 tff(f14920,plain,( 72.37/71.55 spl14_447 <=> ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_447])])). 72.37/71.55 tff(f14921,plain,( 72.37/71.55 ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_447), 72.37/71.55 inference(avatar_component_clause,[],[f14920])). 72.37/71.55 tff(f14926,plain,( 72.37/71.55 spl14_448 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_448])])). 72.37/71.55 tff(f14927,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)) | ~spl14_448), 72.37/71.55 inference(avatar_component_clause,[],[f14926])). 72.37/71.55 tff(f14928,plain,( 72.37/71.55 spl14_192 | ~spl14_447 | ~spl14_297 | spl14_448 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14911,f14903,f14926,f9254,f14920,f5819])). 72.37/71.55 tff(f14930,plain,( 72.37/71.55 spl14_450 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_450])])). 72.37/71.55 tff(f14932,plain,( 72.37/71.55 ~spl14_447 | spl14_450 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14912,f14903,f14930,f14920])). 72.37/71.55 tff(f14937,plain,( 72.37/71.55 spl14_452 <=> cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_452])])). 72.37/71.55 tff(f14939,plain,( 72.37/71.55 spl14_452 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14915,f14903,f14937])). 72.37/71.55 tff(f14940,plain,( 72.37/71.55 $false | ~spl14_447), 72.37/71.55 inference(resolution,[],[f14921,f192])). 72.37/71.55 tff(f14941,plain,( 72.37/71.55 spl14_447), 72.37/71.55 inference(avatar_contradiction_clause,[],[f14940])). 72.37/71.55 tff(f14942,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1)) = t2tb3(sK11) | (~spl14_286 | ~spl14_438)), 72.37/71.55 inference(backward_demodulation,[],[f14884,f9222])). 72.37/71.55 tff(f14947,plain,( 72.37/71.55 length(a1,t2tb3(sK5)) = $sum(1,length(a1,nil(a1))) | (~spl14_346 | ~spl14_438)), 72.37/71.55 inference(backward_demodulation,[],[f14884,f9647])). 72.37/71.55 tff(f14950,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,nil(a1),t2tb3(sK8)) | (~spl14_430 | ~spl14_438)), 72.37/71.55 inference(backward_demodulation,[],[f14884,f14837])). 72.37/71.55 tff(f14951,plain,( 72.37/71.55 ( ! [X0:uni] : (mem(a1,X0,nil(a1)) | ~mem(a1,X0,t2tb3(sK11)) | cons_proj_1(a1,t2tb3(sK11)) = X0 | ~sort(a1,cons_proj_1(a1,t2tb3(sK11))) | ~sort(a1,X0) | nil(a1) = t2tb3(sK11)) ) | ~spl14_438), 72.37/71.55 inference(superposition,[],[f1409,f14884])). 72.37/71.55 tff(f14953,plain,( 72.37/71.55 ( ! [X2:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,nil(a1),X2)) = infix_plpl(a1,t2tb3(sK11),X2) | nil(a1) = t2tb3(sK11)) ) | ~spl14_438), 72.37/71.55 inference(superposition,[],[f1044,f14884])). 72.37/71.55 tff(f14954,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK11)),nil(a1)) = t2tb3(sK11) | nil(a1) = t2tb3(sK11) | ~spl14_438), 72.37/71.55 inference(superposition,[],[f203,f14884])). 72.37/71.55 tff(f14959,plain,( 72.37/71.55 spl14_454 <=> cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1)) = t2tb3(sK11)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_454])])). 72.37/71.55 tff(f14961,plain,( 72.37/71.55 spl14_454 | ~spl14_286 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14942,f14883,f9221,f14959])). 72.37/71.55 tff(f14966,plain,( 72.37/71.55 length(a1,t2tb3(sK5)) = $sum(1,0) | (~spl14_346 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14947,f505])). 72.37/71.55 tff(f14967,plain,( 72.37/71.55 length(a1,t2tb3(sK5)) = 1 | (~spl14_346 | ~spl14_438)), 72.37/71.55 inference(evaluation,[],[f14966])). 72.37/71.55 tff(f14972,plain,( 72.37/71.55 spl14_456 <=> length(a1,t2tb3(sK5)) = 1), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_456])])). 72.37/71.55 tff(f14974,plain,( 72.37/71.55 spl14_456 | ~spl14_346 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14967,f14883,f9646,f14972])). 72.37/71.55 tff(f14976,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = t2tb3(sK8) | (~spl14_430 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14950,f198])). 72.37/71.55 tff(f14981,plain,( 72.37/71.55 spl14_458 <=> cons_proj_2(a1,t2tb3(sK7)) = t2tb3(sK8)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_458])])). 72.37/71.55 tff(f14983,plain,( 72.37/71.55 spl14_458 | ~spl14_430 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14976,f14883,f14836,f14981])). 72.37/71.55 tff(f14984,plain,( 72.37/71.55 ( ! [X0:uni] : (cons_proj_1(a1,t2tb3(sK7)) = X0 | mem(a1,X0,nil(a1)) | ~mem(a1,X0,t2tb3(sK11)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK11))) | ~sort(a1,X0) | nil(a1) = t2tb3(sK11)) ) | (~spl14_280 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14951,f9172])). 72.37/71.55 tff(f14985,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | cons_proj_1(a1,t2tb3(sK7)) = X0 | mem(a1,X0,nil(a1)) | ~mem(a1,X0,t2tb3(sK11)) | ~sort(a1,X0) | nil(a1) = t2tb3(sK11)) ) | (~spl14_280 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14984,f9172])). 72.37/71.55 tff(f14987,plain,( 72.37/71.55 spl14_460 <=> ! [X0 : uni] : (cons_proj_1(a1,t2tb3(sK7)) = X0 | ~sort(a1,X0) | ~mem(a1,X0,t2tb3(sK11)) | mem(a1,X0,nil(a1)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_460])])). 72.37/71.55 tff(f14989,plain,( 72.37/71.55 spl14_52 | spl14_460 | ~spl14_297 | ~spl14_280 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14985,f14883,f9171,f9254,f14987,f496])). 72.37/71.55 tff(f14990,plain,( 72.37/71.55 ( ! [X2:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK11)),X2) = infix_plpl(a1,t2tb3(sK11),X2) | nil(a1) = t2tb3(sK11)) ) | ~spl14_438), 72.37/71.55 inference(forward_demodulation,[],[f14953,f198])). 72.37/71.55 tff(f14991,plain,( 72.37/71.55 ( ! [X2:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK7)),X2) = infix_plpl(a1,t2tb3(sK11),X2) | nil(a1) = t2tb3(sK11)) ) | (~spl14_280 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14990,f9172])). 72.37/71.55 tff(f14993,plain,( 72.37/71.55 spl14_462 <=> ! [X2 : uni] : cons(a1,cons_proj_1(a1,t2tb3(sK7)),X2) = infix_plpl(a1,t2tb3(sK11),X2)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_462])])). 72.37/71.55 tff(f14995,plain,( 72.37/71.55 spl14_52 | spl14_462 | ~spl14_280 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14991,f14883,f9171,f14993,f496])). 72.37/71.55 tff(f14996,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1)) = t2tb3(sK11) | nil(a1) = t2tb3(sK11) | (~spl14_280 | ~spl14_438)), 72.37/71.55 inference(forward_demodulation,[],[f14954,f9172])). 72.37/71.55 tff(f14997,plain,( 72.37/71.55 spl14_52 | spl14_454 | ~spl14_280 | ~spl14_438), 72.37/71.55 inference(avatar_split_clause,[],[f14996,f14883,f9171,f14959,f496])). 72.37/71.55 tff(f14998,plain,( 72.37/71.55 spl14_452 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14915,f14903,f14937])). 72.37/71.55 tff(f14999,plain,( 72.37/71.55 ~spl14_447 | spl14_450 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14912,f14903,f14930,f14920])). 72.37/71.55 tff(f15000,plain,( 72.37/71.55 spl14_192 | ~spl14_447 | ~spl14_297 | spl14_448 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f14911,f14903,f14926,f9254,f14920,f5819])). 72.37/71.55 tff(f15021,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,t2tb3(sK7))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))))) ) | ~spl14_448), 72.37/71.55 inference(resolution,[],[f14927,f1318])). 72.37/71.55 tff(f15024,plain,( 72.37/71.55 infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)))) = t2tb3(sK7) | ~spl14_448), 72.37/71.55 inference(resolution,[],[f14927,f223])). 72.37/71.55 tff(f15026,plain,( 72.37/71.55 spl14_464 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,t2tb3(sK7))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_464])])). 72.37/71.55 tff(f15028,plain,( 72.37/71.55 ~spl14_447 | spl14_464 | ~spl14_448), 72.37/71.55 inference(avatar_split_clause,[],[f15021,f14926,f15026,f14920])). 72.37/71.55 tff(f15033,plain,( 72.37/71.55 spl14_466 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK7)))) = t2tb3(sK7)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_466])])). 72.37/71.55 tff(f15035,plain,( 72.37/71.55 spl14_466 | ~spl14_448), 72.37/71.55 inference(avatar_split_clause,[],[f15024,f14926,f15033])). 72.37/71.55 tff(f15042,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))))) ) | ~spl14_444), 72.37/71.55 inference(resolution,[],[f14904,f1318])). 72.37/71.55 tff(f15045,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),cons_proj_2(a1,t2tb3(sK7))))) | ~spl14_444), 72.37/71.55 inference(resolution,[],[f14904,f223])). 72.37/71.55 tff(f15046,plain,( 72.37/71.55 ~spl14_447 | spl14_450 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f15042,f14903,f14930,f14920])). 72.37/71.55 tff(f15047,plain,( 72.37/71.55 spl14_452 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f15045,f14903,f14937])). 72.37/71.55 tff(f15054,plain,( 72.37/71.55 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK11)) | mem(a1,X2,cons_proj_2(a1,t2tb3(sK11))) | cons_proj_1(a1,t2tb3(sK7)) = X2 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X2)) ) | ~spl14_286), 72.37/71.55 inference(superposition,[],[f207,f9222])). 72.37/71.55 tff(f15075,plain,( 72.37/71.55 length(a1,t2tb3(sK11)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_286), 72.37/71.55 inference(superposition,[],[f3113,f9222])). 72.37/71.55 tff(f15077,plain,( 72.37/71.55 ( ! [X49:uni] : (mem(a1,X49,t2tb3(sK11)) | ~mem(a1,X49,cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1)))) ) | ~spl14_286), 72.37/71.55 inference(superposition,[],[f4621,f9222])). 72.37/71.55 tff(f15078,plain,( 72.37/71.55 ~spl14_297 | spl14_344 | ~spl14_286), 72.37/71.55 inference(avatar_split_clause,[],[f15054,f9221,f9635,f9254])). 72.37/71.55 tff(f15082,plain,( 72.37/71.55 length(a1,t2tb3(sK5)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK11)))) | (~spl14_4 | ~spl14_286)), 72.37/71.55 inference(forward_demodulation,[],[f15075,f281])). 72.37/71.55 tff(f15083,plain,( 72.37/71.55 spl14_346 | ~spl14_4 | ~spl14_286), 72.37/71.55 inference(avatar_split_clause,[],[f15082,f9221,f280,f9646])). 72.37/71.55 tff(f15086,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)) | nil(a1) = t2tb3(sK11) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f1044,f14837])). 72.37/71.55 tff(f15096,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5729,f14837])). 72.37/71.55 tff(f15099,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | nil(a1) = t2tb3(sK11) | (~spl14_20 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f15086,f344])). 72.37/71.55 tff(f15100,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,t2tb3(sK7)),cons_proj_2(a1,t2tb3(sK7))) = t2tb3(sK7) | nil(a1) = t2tb3(sK11) | (~spl14_20 | ~spl14_280 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f15099,f9172])). 72.37/71.55 tff(f15101,plain,( 72.37/71.55 spl14_52 | spl14_436 | ~spl14_20 | ~spl14_280 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f15100,f14836,f9171,f343,f14873,f496])). 72.37/71.55 tff(f15102,plain,( 72.37/71.55 spl14_438 | spl14_440 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f15096,f14836,f14889,f14883])). 72.37/71.55 tff(f15104,plain,( 72.37/71.55 ( ! [X0:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)) = infix_plpl(a1,t2tb3(sK7),X0)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f199,f14874])). 72.37/71.55 tff(f15105,plain,( 72.37/71.55 ( ! [X1:uni] : (mem(a1,X1,t2tb3(sK7)) | ~mem(a1,X1,cons_proj_2(a1,t2tb3(sK7))) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X1)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f205,f14874])). 72.37/71.55 tff(f15106,plain,( 72.37/71.55 ( ! [X2:uni] : (~mem(a1,X2,t2tb3(sK7)) | mem(a1,X2,cons_proj_2(a1,t2tb3(sK7))) | cons_proj_1(a1,t2tb3(sK7)) = X2 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X2)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f207,f14874])). 72.37/71.55 tff(f15127,plain,( 72.37/71.55 length(a1,t2tb3(sK7)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK7)))) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f3113,f14874])). 72.37/71.55 tff(f15131,plain,( 72.37/71.55 spl14_468 <=> ! [X1 : uni] : (mem(a1,X1,t2tb3(sK7)) | ~sort(a1,X1) | ~mem(a1,X1,cons_proj_2(a1,t2tb3(sK7))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_468])])). 72.37/71.55 tff(f15133,plain,( 72.37/71.55 ~spl14_297 | spl14_468 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f15105,f14873,f15131,f9254])). 72.37/71.55 tff(f15135,plain,( 72.37/71.55 spl14_470 <=> ! [X2 : uni] : (~mem(a1,X2,t2tb3(sK7)) | ~sort(a1,X2) | cons_proj_1(a1,t2tb3(sK7)) = X2 | mem(a1,X2,cons_proj_2(a1,t2tb3(sK7))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_470])])). 72.37/71.55 tff(f15137,plain,( 72.37/71.55 ~spl14_297 | spl14_470 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f15106,f14873,f15135,f9254])). 72.37/71.55 tff(f15142,plain,( 72.37/71.55 spl14_472 <=> length(a1,t2tb3(sK7)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK7))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_472])])). 72.37/71.55 tff(f15143,plain,( 72.37/71.55 length(a1,t2tb3(sK7)) = $sum(1,length(a1,cons_proj_2(a1,t2tb3(sK7)))) | ~spl14_472), 72.37/71.55 inference(avatar_component_clause,[],[f15142])). 72.37/71.55 tff(f15144,plain,( 72.37/71.55 spl14_472 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f15127,f14873,f15142])). 72.37/71.55 tff(f15189,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7))) | (~spl14_440 | ~spl14_444)), 72.37/71.55 inference(backward_demodulation,[],[f14890,f14904])). 72.37/71.55 tff(f15190,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)) | (~spl14_440 | ~spl14_448)), 72.37/71.55 inference(backward_demodulation,[],[f14890,f14927])). 72.37/71.55 tff(f15194,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) = cons_proj_2(a1,t2tb3(sK11)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_440), 72.37/71.55 inference(superposition,[],[f203,f14890])). 72.37/71.55 tff(f15203,plain,( 72.37/71.55 some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_440), 72.37/71.55 inference(superposition,[],[f1003,f14890])). 72.37/71.55 tff(f15204,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_440), 72.37/71.55 inference(superposition,[],[f1015,f14890])). 72.37/71.55 tff(f15206,plain,( 72.37/71.55 ( ! [X17:uni] : (cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))),X17)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X17) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | ~spl14_440), 72.37/71.55 inference(superposition,[],[f1044,f14890])). 72.37/71.55 tff(f15216,plain,( 72.37/71.55 ( ! [X31:uni] : (mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X31)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | ~spl14_440), 72.37/71.55 inference(superposition,[],[f5809,f14890])). 72.37/71.55 tff(f15223,plain,( 72.37/71.55 spl14_474 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_474])])). 72.37/71.55 tff(f15224,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7))) | ~spl14_474), 72.37/71.55 inference(avatar_component_clause,[],[f15223])). 72.37/71.55 tff(f15225,plain,( 72.37/71.55 spl14_474 | ~spl14_440 | ~spl14_444), 72.37/71.55 inference(avatar_split_clause,[],[f15189,f14903,f14889,f15223])). 72.37/71.55 tff(f15230,plain,( 72.37/71.55 spl14_476 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_476])])). 72.37/71.55 tff(f15231,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)) | ~spl14_476), 72.37/71.55 inference(avatar_component_clause,[],[f15230])). 72.37/71.55 tff(f15232,plain,( 72.37/71.55 spl14_476 | ~spl14_440 | ~spl14_448), 72.37/71.55 inference(avatar_split_clause,[],[f15190,f14926,f14889,f15230])). 72.37/71.55 tff(f15237,plain,( 72.37/71.55 spl14_478 <=> cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) = cons_proj_2(a1,t2tb3(sK11))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_478])])). 72.37/71.55 tff(f15238,plain,( 72.37/71.55 cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_478), 72.37/71.55 inference(avatar_component_clause,[],[f15237])). 72.37/71.55 tff(f15239,plain,( 72.37/71.55 spl14_438 | spl14_478 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f15194,f14889,f15237,f14883])). 72.37/71.55 tff(f15244,plain,( 72.37/71.55 spl14_480 <=> some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_480])])). 72.37/71.55 tff(f15245,plain,( 72.37/71.55 some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_480), 72.37/71.55 inference(avatar_component_clause,[],[f15244])). 72.37/71.55 tff(f15246,plain,( 72.37/71.55 spl14_438 | spl14_480 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f15203,f14889,f15244,f14883])). 72.37/71.55 tff(f15251,plain,( 72.37/71.55 spl14_482 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_482])])). 72.37/71.55 tff(f15252,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11))) | ~spl14_482), 72.37/71.55 inference(avatar_component_clause,[],[f15251])). 72.37/71.55 tff(f15253,plain,( 72.37/71.55 spl14_438 | spl14_482 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f15204,f14889,f15251,f14883])). 72.37/71.55 tff(f15255,plain,( 72.37/71.55 spl14_484 <=> ! [X17 : uni] : cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))),X17)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X17)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_484])])). 72.37/71.55 tff(f15257,plain,( 72.37/71.55 spl14_438 | spl14_484 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f15206,f14889,f15255,f14883])). 72.37/71.55 tff(f15259,plain,( 72.37/71.55 spl14_486 <=> ! [X31 : uni] : mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X31))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_486])])). 72.37/71.55 tff(f15260,plain,( 72.37/71.55 ( ! [X31:uni] : (mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X31))) ) | ~spl14_486), 72.37/71.55 inference(avatar_component_clause,[],[f15259])). 72.37/71.55 tff(f15261,plain,( 72.37/71.55 spl14_438 | spl14_486 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f15216,f14889,f15259,f14883])). 72.37/71.55 tff(f15262,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK7))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_476), 72.37/71.55 inference(resolution,[],[f15231,f1318])). 72.37/71.55 tff(f15265,plain,( 72.37/71.55 infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)))) = t2tb3(sK7) | ~spl14_476), 72.37/71.55 inference(resolution,[],[f15231,f223])). 72.37/71.55 tff(f15270,plain,( 72.37/71.55 spl14_489 <=> ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_489])])). 72.37/71.55 tff(f15273,plain,( 72.37/71.55 spl14_490 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK7))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_490])])). 72.37/71.55 tff(f15275,plain,( 72.37/71.55 ~spl14_489 | spl14_490 | ~spl14_476), 72.37/71.55 inference(avatar_split_clause,[],[f15262,f15230,f15273,f15270])). 72.37/71.55 tff(f15280,plain,( 72.37/71.55 spl14_492 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK7)))) = t2tb3(sK7)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_492])])). 72.37/71.55 tff(f15282,plain,( 72.37/71.55 spl14_492 | ~spl14_476), 72.37/71.55 inference(avatar_split_clause,[],[f15265,f15230,f15280])). 72.37/71.55 tff(f15284,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_474), 72.37/71.55 inference(resolution,[],[f15224,f1318])). 72.37/71.55 tff(f15287,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7))))) | ~spl14_474), 72.37/71.55 inference(resolution,[],[f15224,f223])). 72.37/71.55 tff(f15289,plain,( 72.37/71.55 spl14_494 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_494])])). 72.37/71.55 tff(f15291,plain,( 72.37/71.55 ~spl14_489 | spl14_494 | ~spl14_474), 72.37/71.55 inference(avatar_split_clause,[],[f15284,f15223,f15289,f15270])). 72.37/71.55 tff(f15296,plain,( 72.37/71.55 spl14_496 <=> cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK7)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_496])])). 72.37/71.55 tff(f15298,plain,( 72.37/71.55 spl14_496 | ~spl14_474), 72.37/71.55 inference(avatar_split_clause,[],[f15287,f15223,f15296])). 72.37/71.55 tff(f15299,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK11))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) | nil(a1) = t2tb3(sK11) | ~spl14_482), 72.37/71.55 inference(resolution,[],[f15252,f1241])). 72.37/71.55 tff(f15300,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK11))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK11)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK11)))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_482), 72.37/71.55 inference(resolution,[],[f15252,f1318])). 72.37/71.55 tff(f15303,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11))))) | ~spl14_482), 72.37/71.55 inference(resolution,[],[f15252,f223])). 72.37/71.55 tff(f15304,plain,( 72.37/71.55 ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) | nil(a1) = t2tb3(sK11) | (~spl14_280 | ~spl14_482)), 72.37/71.55 inference(forward_demodulation,[],[f15299,f9172])). 72.37/71.55 tff(f15309,plain,( 72.37/71.55 spl14_498 <=> mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_498])])). 72.37/71.55 tff(f15310,plain,( 72.37/71.55 mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)) | ~spl14_498), 72.37/71.55 inference(avatar_component_clause,[],[f15309])). 72.37/71.55 tff(f15311,plain,( 72.37/71.55 spl14_52 | ~spl14_489 | spl14_498 | ~spl14_297 | ~spl14_280 | ~spl14_482), 72.37/71.55 inference(avatar_split_clause,[],[f15304,f15251,f9171,f9254,f15309,f15270,f496])). 72.37/71.55 tff(f15313,plain,( 72.37/71.55 spl14_500 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK11))) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK11)))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,cons_proj_2(a1,t2tb3(sK11)))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_500])])). 72.37/71.55 tff(f15315,plain,( 72.37/71.55 ~spl14_489 | spl14_500 | ~spl14_482), 72.37/71.55 inference(avatar_split_clause,[],[f15300,f15251,f15313,f15270])). 72.37/71.55 tff(f15320,plain,( 72.37/71.55 spl14_502 <=> cons_proj_2(a1,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons_proj_2(a1,t2tb3(sK11)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_502])])). 72.37/71.55 tff(f15322,plain,( 72.37/71.55 spl14_502 | ~spl14_482), 72.37/71.55 inference(avatar_split_clause,[],[f15303,f15251,f15320])). 72.37/71.55 tff(f15323,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK11))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK11))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_498), 72.37/71.55 inference(resolution,[],[f15310,f1318])). 72.37/71.55 tff(f15326,plain,( 72.37/71.55 infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)))) = t2tb3(sK11) | ~spl14_498), 72.37/71.55 inference(resolution,[],[f15310,f223])). 72.37/71.55 tff(f15328,plain,( 72.37/71.55 spl14_504 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,t2tb3(sK11)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK11))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X0,t2tb3(sK11))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_504])])). 72.37/71.55 tff(f15330,plain,( 72.37/71.55 ~spl14_489 | spl14_504 | ~spl14_498), 72.37/71.55 inference(avatar_split_clause,[],[f15323,f15309,f15328,f15270])). 72.37/71.55 tff(f15335,plain,( 72.37/71.55 spl14_506 <=> infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),t2tb3(sK11)))) = t2tb3(sK11)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_506])])). 72.37/71.55 tff(f15337,plain,( 72.37/71.55 spl14_506 | ~spl14_498), 72.37/71.55 inference(avatar_split_clause,[],[f15326,f15309,f15335])). 72.37/71.55 tff(f15410,plain,( 72.37/71.55 ( ! [X0:uni] : (length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK7)) | tb2t3(cons(a1,X0,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),t2tb3(sK10)))) != sK0) ) | ~spl14_472), 72.37/71.55 inference(superposition,[],[f9296,f15143])). 72.37/71.55 tff(f15412,plain,( 72.37/71.55 spl14_508 <=> ! [X0 : uni] : tb2t3(cons(a1,X0,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),t2tb3(sK10)))) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_508])])). 72.37/71.55 tff(f15418,plain,( 72.37/71.55 spl14_511 <=> length(a1,t2tb3(sK1)) != length(a1,t2tb3(sK7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_511])])). 72.37/71.55 tff(f15420,plain,( 72.37/71.55 spl14_508 | ~spl14_511 | ~spl14_472), 72.37/71.55 inference(avatar_split_clause,[],[f15410,f15142,f15418,f15412])). 72.37/71.55 tff(f15437,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,X0,cons_proj_2(a1,t2tb3(sK11))) | mem(a1,X0,t2tb3(sK7)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X0) | nil(a1) = t2tb3(sK7)) ) | ~spl14_430), 72.37/71.55 inference(resolution,[],[f14857,f1241])). 72.37/71.55 tff(f15443,plain,( 72.37/71.55 spl14_512 <=> ! [X0 : uni] : (~mem(a1,X0,cons_proj_2(a1,t2tb3(sK11))) | ~sort(a1,X0) | mem(a1,X0,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_512])])). 72.37/71.55 tff(f15445,plain,( 72.37/71.55 spl14_192 | ~spl14_297 | spl14_512 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f15437,f14836,f15443,f9254,f5819])). 72.37/71.55 tff(f15476,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0)) = X1 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f1409,f14527])). 72.37/71.55 tff(f15477,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK11),X2)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X2))) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X2)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f1241,f14527])). 72.37/71.55 tff(f15480,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK11),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f15476,f14515])). 72.37/71.55 tff(f15481,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK11),X0)) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X0)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f15480,f14515])). 72.37/71.55 tff(f15482,plain,( 72.37/71.55 spl14_432 | ~spl14_297 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f15481,f9239,f9254,f14842])). 72.37/71.55 tff(f15483,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK11),X2)) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK11),X2)) ) | ~spl14_292), 72.37/71.55 inference(forward_demodulation,[],[f15477,f14515])). 72.37/71.55 tff(f15484,plain,( 72.37/71.55 spl14_434 | ~spl14_297 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f15483,f9239,f9254,f14847])). 72.37/71.55 tff(f15620,plain,( 72.37/71.55 ( ! [X2:uni,X1:uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_486), 72.37/71.55 inference(resolution,[],[f15260,f1318])). 72.37/71.55 tff(f15628,plain,( 72.37/71.55 spl14_514 <=> ! [X1 : uni,X2 : uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_514])])). 72.37/71.55 tff(f15630,plain,( 72.37/71.55 ~spl14_489 | spl14_514 | ~spl14_486), 72.37/71.55 inference(avatar_split_clause,[],[f15620,f15259,f15628,f15270])). 72.37/71.55 tff(f15715,plain,( 72.37/71.55 ~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1))) | (~spl14_231 | ~spl14_286)), 72.37/71.55 inference(resolution,[],[f15077,f6250])). 72.37/71.55 tff(f15724,plain,( 72.37/71.55 spl14_517 <=> ~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_517])])). 72.37/71.55 tff(f15725,plain,( 72.37/71.55 ~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),nil(a1))) | ~spl14_517), 72.37/71.55 inference(avatar_component_clause,[],[f15724])). 72.37/71.55 tff(f15726,plain,( 72.37/71.55 ~spl14_517 | spl14_231 | ~spl14_286), 72.37/71.55 inference(avatar_split_clause,[],[f15715,f9221,f6249,f15724])). 72.37/71.55 tff(f15728,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,nil(a1),X0))) | mem(a1,t2tb(sK6),X0)) ) | ~spl14_517), 72.37/71.55 inference(resolution,[],[f15725,f1142])). 72.37/71.55 tff(f15732,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),X0)) | mem(a1,t2tb(sK6),X0)) ) | ~spl14_517), 72.37/71.55 inference(forward_demodulation,[],[f15728,f198])). 72.37/71.55 tff(f15777,plain,( 72.37/71.55 ( ! [X0:uni,X1:$int] : (length(a1,X0) != X1 | length(a1,infix_plpl(a1,X0,t2tb3(sK11))) = $sum(X1,length(a1,t2tb3(sK5)))) ) | ~spl14_4), 72.37/71.55 inference(equality_resolution,[],[f4818])). 72.37/71.55 tff(f15813,plain,( 72.37/71.55 ( ! [X7:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X7)) | ~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)))) ) | (~spl14_20 | ~spl14_517)), 72.37/71.55 inference(resolution,[],[f15732,f4619])). 72.37/71.55 tff(f15826,plain,( 72.37/71.55 ~mem(a1,t2tb(sK6),t2tb3(sK7)) | mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))) | (~spl14_436 | ~spl14_517)), 72.37/71.55 inference(superposition,[],[f15732,f14874])). 72.37/71.55 tff(f15827,plain,( 72.37/71.55 ~mem(a1,t2tb(sK6),t2tb3(sK7)) | mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))) | nil(a1) = t2tb3(sK7) | ~spl14_517), 72.37/71.55 inference(superposition,[],[f15732,f203])). 72.37/71.55 tff(f15828,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X0)) | mem(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)) | nil(a1) = t2tb3(sK7)) ) | ~spl14_517), 72.37/71.55 inference(superposition,[],[f15732,f1044])). 72.37/71.55 tff(f15833,plain,( 72.37/71.55 spl14_519 <=> ~mem(a1,t2tb(sK6),cons(a1,cons_proj_1(a1,t2tb3(sK7)),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_519])])). 72.37/71.55 tff(f15836,plain,( 72.37/71.55 spl14_520 <=> ! [X7 : uni] : mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X7))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_520])])). 72.37/71.55 tff(f15838,plain,( 72.37/71.55 ~spl14_519 | spl14_520 | ~spl14_20 | spl14_517), 72.37/71.55 inference(avatar_split_clause,[],[f15813,f15724,f343,f15836,f15833])). 72.37/71.55 tff(f15843,plain,( 72.37/71.55 spl14_522 <=> mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_522])])). 72.37/71.55 tff(f15844,plain,( 72.37/71.55 mem(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))) | ~spl14_522), 72.37/71.55 inference(avatar_component_clause,[],[f15843])). 72.37/71.55 tff(f15845,plain,( 72.37/71.55 spl14_522 | ~spl14_221 | ~spl14_436 | spl14_517), 72.37/71.55 inference(avatar_split_clause,[],[f15826,f15724,f14873,f6192,f15843])). 72.37/71.55 tff(f15846,plain,( 72.37/71.55 spl14_192 | spl14_522 | ~spl14_221 | spl14_517), 72.37/71.55 inference(avatar_split_clause,[],[f15827,f15724,f6192,f15843,f5819])). 72.37/71.55 tff(f15848,plain,( 72.37/71.55 spl14_524 <=> ! [X0 : uni] : (~mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X0)) | mem(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_524])])). 72.37/71.55 tff(f15850,plain,( 72.37/71.55 spl14_192 | spl14_524 | spl14_517), 72.37/71.55 inference(avatar_split_clause,[],[f15828,f15724,f15848,f5819])). 72.37/71.55 tff(f15852,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))) | ~sort(a1,t2tb(sK6))) ) | ~spl14_522), 72.37/71.55 inference(resolution,[],[f15844,f1318])). 72.37/71.55 tff(f15855,plain,( 72.37/71.55 cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))))) | ~spl14_522), 72.37/71.55 inference(resolution,[],[f15844,f223])). 72.37/71.55 tff(f15857,plain,( 72.37/71.55 spl14_526 <=> ! [X0 : uni] : (~sort(a1,X0) | cons(a1,X0,cons_proj_2(a1,t2tb3(sK7))) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons(a1,X0,cons_proj_2(a1,t2tb3(sK7)))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_526])])). 72.37/71.55 tff(f15859,plain,( 72.37/71.55 ~spl14_65 | spl14_526 | ~spl14_522), 72.37/71.55 inference(avatar_split_clause,[],[f15852,f15843,f15857,f650])). 72.37/71.55 tff(f15864,plain,( 72.37/71.55 spl14_528 <=> cons_proj_2(a1,t2tb3(sK7)) = infix_plpl(a1,sK12(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7))),cons(a1,t2tb(sK6),sK13(a1,t2tb(sK6),cons_proj_2(a1,t2tb3(sK7)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_528])])). 72.37/71.55 tff(f15866,plain,( 72.37/71.55 spl14_528 | ~spl14_522), 72.37/71.55 inference(avatar_split_clause,[],[f15855,f15843,f15864])). 72.37/71.55 tff(f15914,plain,( 72.37/71.55 ( ! [X0:uni,X1:$int] : (length(a1,infix_plpl(a1,t2tb3(sK11),X0)) != X1 | $sum(length(a1,t2tb3(sK5)),length(a1,X0)) = X1) ) | ~spl14_4), 72.37/71.55 inference(equality_resolution,[],[f6573])). 72.37/71.55 tff(f15915,plain,( 72.37/71.55 nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK7)) | ~spl14_480), 72.37/71.55 inference(superposition,[],[f15245,f1003])). 72.37/71.55 tff(f15917,plain,( 72.37/71.55 nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | nil(a1) = cons_proj_2(a1,t2tb3(sK7)) | ~spl14_480), 72.37/71.55 inference(superposition,[],[f1003,f15245])). 72.37/71.55 tff(f15918,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_480), 72.37/71.55 inference(superposition,[],[f549,f15245])). 72.37/71.55 tff(f15919,plain,( 72.37/71.55 none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_480), 72.37/71.55 inference(superposition,[],[f194,f15245])). 72.37/71.55 tff(f15941,plain,( 72.37/71.55 some(a1,some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK11))))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_480), 72.37/71.55 inference(superposition,[],[f1082,f15245])). 72.37/71.55 tff(f15961,plain,( 72.37/71.55 spl14_530 <=> nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_530])])). 72.37/71.55 tff(f15962,plain,( 72.37/71.55 nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_530), 72.37/71.55 inference(avatar_component_clause,[],[f15961])). 72.37/71.55 tff(f15963,plain,( 72.37/71.55 spl14_442 | spl14_530 | ~spl14_480), 72.37/71.55 inference(avatar_split_clause,[],[f15915,f15244,f15961,f14893])). 72.37/71.55 tff(f15964,plain,( 72.37/71.55 spl14_442 | spl14_530 | ~spl14_480), 72.37/71.55 inference(avatar_split_clause,[],[f15917,f15244,f15961,f14893])). 72.37/71.55 tff(f15969,plain,( 72.37/71.55 spl14_532 <=> cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_532])])). 72.37/71.55 tff(f15970,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))) | ~spl14_532), 72.37/71.55 inference(avatar_component_clause,[],[f15969])). 72.37/71.55 tff(f15971,plain,( 72.37/71.55 spl14_532 | ~spl14_480), 72.37/71.55 inference(avatar_split_clause,[],[f15918,f15244,f15969])). 72.37/71.55 tff(f15976,plain,( 72.37/71.55 spl14_535 <=> none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_535])])). 72.37/71.55 tff(f15977,plain,( 72.37/71.55 none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK11))) | ~spl14_535), 72.37/71.55 inference(avatar_component_clause,[],[f15976])). 72.37/71.55 tff(f15978,plain,( 72.37/71.55 ~spl14_535 | ~spl14_480), 72.37/71.55 inference(avatar_split_clause,[],[f15919,f15244,f15976])). 72.37/71.55 tff(f15983,plain,( 72.37/71.55 spl14_536 <=> some(a1,some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK11))))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_536])])). 72.37/71.55 tff(f15985,plain,( 72.37/71.55 spl14_536 | ~spl14_480), 72.37/71.55 inference(avatar_split_clause,[],[f15941,f15244,f15983])). 72.37/71.55 tff(f16000,plain,( 72.37/71.55 some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | (~spl14_480 | ~spl14_530)), 72.37/71.55 inference(backward_demodulation,[],[f15962,f15245])). 72.37/71.55 tff(f16001,plain,( 72.37/71.55 none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | (~spl14_530 | ~spl14_535)), 72.37/71.55 inference(superposition,[],[f15977,f15962])). 72.37/71.55 tff(f16003,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_530), 72.37/71.55 inference(superposition,[],[f2168,f15962])). 72.37/71.55 tff(f16004,plain,( 72.37/71.55 none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | ~spl14_530), 72.37/71.55 inference(superposition,[],[f2169,f15962])). 72.37/71.55 tff(f16006,plain,( 72.37/71.55 ( ! [X0:$int] : (none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | length(a1,cons_proj_2(a1,t2tb3(sK11))) != X0 | ~$less(0,X0) | $less(0,0)) ) | ~spl14_530), 72.37/71.55 inference(superposition,[],[f255,f15962])). 72.37/71.55 tff(f16026,plain,( 72.37/71.55 ( ! [X0:$int] : (none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | length(a1,cons_proj_2(a1,t2tb3(sK11))) != X0 | ~$less(0,X0)) ) | ~spl14_530), 72.37/71.55 inference(evaluation,[],[f16006])). 72.37/71.55 tff(f16031,plain,( 72.37/71.55 spl14_538 <=> some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_538])])). 72.37/71.55 tff(f16032,plain,( 72.37/71.55 some(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | ~spl14_538), 72.37/71.55 inference(avatar_component_clause,[],[f16031])). 72.37/71.55 tff(f16033,plain,( 72.37/71.55 spl14_538 | ~spl14_480 | ~spl14_530), 72.37/71.55 inference(avatar_split_clause,[],[f16000,f15961,f15244,f16031])). 72.37/71.55 tff(f16038,plain,( 72.37/71.55 spl14_541 <=> none(a1) != nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_541])])). 72.37/71.55 tff(f16040,plain,( 72.37/71.55 ~spl14_541 | ~spl14_530 | spl14_535), 72.37/71.55 inference(avatar_split_clause,[],[f16001,f15976,f15961,f16038])). 72.37/71.55 tff(f16041,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))) | nil(a1) = cons_proj_2(a1,t2tb3(sK11)) | (~spl14_440 | ~spl14_530)), 72.37/71.55 inference(forward_demodulation,[],[f16003,f14890])). 72.37/71.55 tff(f16046,plain,( 72.37/71.55 spl14_542 <=> cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_542])])). 72.37/71.55 tff(f16048,plain,( 72.37/71.55 spl14_438 | spl14_542 | ~spl14_440 | ~spl14_530), 72.37/71.55 inference(avatar_split_clause,[],[f16041,f15961,f14889,f16046,f14883])). 72.37/71.55 tff(f16049,plain,( 72.37/71.55 spl14_438 | ~spl14_541 | ~spl14_530), 72.37/71.55 inference(avatar_split_clause,[],[f16004,f15961,f16038,f14883])). 72.37/71.55 tff(f16051,plain,( 72.37/71.55 spl14_544 <=> ! [X0 : $int] : (length(a1,cons_proj_2(a1,t2tb3(sK11))) != X0 | ~$less(0,X0))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_544])])). 72.37/71.55 tff(f16053,plain,( 72.37/71.55 spl14_544 | ~spl14_541 | ~spl14_530), 72.37/71.55 inference(avatar_split_clause,[],[f16026,f15961,f16038,f16051])). 72.37/71.55 tff(f16207,plain,( 72.37/71.55 ( ! [X2:ty,X0:bool,X3:uni,X1:bool] : (true != X1 | match_bool(option(X2),X1,none(X2),X3) = none(X2) | true = X0) )), 72.37/71.55 inference(equality_factoring,[],[f706])). 72.37/71.55 tff(f16233,plain,( 72.37/71.55 spl14_546 <=> ! [X1 : bool,X3 : uni,X2 : ty] : (true != X1 | match_bool(option(X2),X1,none(X2),X3) = none(X2))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_546])])). 72.37/71.55 tff(f16235,plain,( 72.37/71.55 spl14_370 | spl14_546), 72.37/71.55 inference(avatar_split_clause,[],[f16207,f16233,f10537])). 72.37/71.55 tff(f16237,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))) | ~spl14_538), 72.37/71.55 inference(superposition,[],[f549,f16032])). 72.37/71.55 tff(f16260,plain,( 72.37/71.55 some(a1,some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7))))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK7))) | ~spl14_538), 72.37/71.55 inference(superposition,[],[f1082,f16032])). 72.37/71.55 tff(f16276,plain,( 72.37/71.55 spl14_542 | ~spl14_538), 72.37/71.55 inference(avatar_split_clause,[],[f16237,f16031,f16046])). 72.37/71.55 tff(f16281,plain,( 72.37/71.55 spl14_548 <=> some(a1,some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7))))) = nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_548])])). 72.37/71.55 tff(f16283,plain,( 72.37/71.55 spl14_548 | ~spl14_538), 72.37/71.55 inference(avatar_split_clause,[],[f16260,f16031,f16281])). 72.37/71.55 tff(f16466,plain,( 72.37/71.55 ( ! [X2:option_a1,X0:bool,X3:uni,X1:bool] : (true != X1 | match_bool(option(a1),X1,t2tb4(X2),X3) = t2tb4(X2) | true = X0) )), 72.37/71.55 inference(equality_factoring,[],[f711])). 72.37/71.55 tff(f16492,plain,( 72.37/71.55 spl14_550 <=> ! [X1 : bool,X3 : uni,X2 : option_a1] : (true != X1 | match_bool(option(a1),X1,t2tb4(X2),X3) = t2tb4(X2))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_550])])). 72.37/71.55 tff(f16494,plain,( 72.37/71.55 spl14_370 | spl14_550), 72.37/71.55 inference(avatar_split_clause,[],[f16466,f16492,f10537])). 72.37/71.55 tff(f16497,plain,( 72.37/71.55 cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = some_proj_1(a1,nth(a1,0,cons_proj_2(a1,t2tb3(sK7)))) | (~spl14_530 | ~spl14_532)), 72.37/71.55 inference(forward_demodulation,[],[f15970,f15962])). 72.37/71.55 tff(f16498,plain,( 72.37/71.55 spl14_542 | ~spl14_530 | ~spl14_532), 72.37/71.55 inference(avatar_split_clause,[],[f16497,f15969,f15961,f16046])). 72.37/71.55 tff(f16820,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (mem(a1,X0,t2tb3(sK11)) | ~mem(a1,X0,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X1)) | mem(a1,X0,X1)) ) | ~spl14_292), 72.37/71.55 inference(resolution,[],[f14546,f237])). 72.37/71.55 tff(f17061,plain,( 72.37/71.55 ( ! [X0:uni] : (length(a1,infix_plpl(a1,X0,t2tb3(sK11))) = $sum(length(a1,X0),length(a1,t2tb3(sK5)))) ) | ~spl14_4), 72.37/71.55 inference(equality_resolution,[],[f15777])). 72.37/71.55 tff(f17068,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) = $sum(length(a1,t2tb3(sK5)),length(a1,t2tb3(sK5))) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f17061,f281])). 72.37/71.55 tff(f17073,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) | ~spl14_4), 72.37/71.55 inference(forward_demodulation,[],[f17068,f17061])). 72.37/71.55 tff(f17078,plain,( 72.37/71.55 spl14_552 <=> length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_552])])). 72.37/71.55 tff(f17079,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) | ~spl14_552), 72.37/71.55 inference(avatar_component_clause,[],[f17078])). 72.37/71.55 tff(f17080,plain,( 72.37/71.55 spl14_552 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f17073,f280,f17078])). 72.37/71.55 tff(f17087,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)),t2tb3(sK11))) = $sum(length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))),length(a1,t2tb3(sK5))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(superposition,[],[f17061,f17079])). 72.37/71.55 tff(f17089,plain,( 72.37/71.55 ( ! [X3:uni] : (length(a1,t2tb3(sK1)) != $sum(1,length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) | tb2t3(cons(a1,X3,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)),t2tb3(sK10)))) != sK0) ) | ~spl14_552), 72.37/71.55 inference(superposition,[],[f9296,f17079])). 72.37/71.55 tff(f17090,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != 0 | nil(a1) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)) | ~spl14_552), 72.37/71.55 inference(superposition,[],[f211,f17079])). 72.37/71.55 tff(f17097,plain,( 72.37/71.55 length(a1,t2tb3(sK5)) != length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) | none(a1) = nth(a1,length(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) | ~spl14_552), 72.37/71.55 inference(superposition,[],[f1532,f17079])). 72.37/71.55 tff(f17099,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != 0 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) | (~spl14_143 | ~spl14_552)), 72.37/71.55 inference(superposition,[],[f1582,f17079])). 72.37/71.55 tff(f17100,plain,( 72.37/71.55 length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))) | (~spl14_144 | ~spl14_552)), 72.37/71.55 inference(superposition,[],[f1588,f17079])). 72.37/71.55 tff(f17102,plain,( 72.37/71.55 ( ! [X26:uni] : (length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != -1 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X26,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))))) ) | (~spl14_143 | ~spl14_552)), 72.37/71.55 inference(superposition,[],[f3935,f17079])). 72.37/71.55 tff(f17103,plain,( 72.37/71.55 ( ! [X27:uni] : (length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != -1 | nil(a1) = cons(a1,X27,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) ) | ~spl14_552), 72.37/71.55 inference(superposition,[],[f3937,f17079])). 72.37/71.55 tff(f17105,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)),t2tb3(sK11))) = length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)),t2tb3(sK11))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17087,f17061])). 72.37/71.55 tff(f17106,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17105,f230])). 72.37/71.55 tff(f17107,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17106,f230])). 72.37/71.55 tff(f17112,plain,( 72.37/71.55 spl14_554 <=> length(a1,infix_plpl(a1,t2tb3(sK5),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_554])])). 72.37/71.55 tff(f17114,plain,( 72.37/71.55 spl14_554 | ~spl14_4 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17107,f17078,f280,f17112])). 72.37/71.55 tff(f17116,plain,( 72.37/71.55 ( ! [X3:uni] : (length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK11))) | tb2t3(cons(a1,X3,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)),t2tb3(sK10)))) != sK0) ) | (~spl14_24 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17089,f3916])). 72.37/71.55 tff(f17117,plain,( 72.37/71.55 ( ! [X3:uni] : (tb2t3(cons(a1,X3,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))))) != sK0 | length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK11)))) ) | (~spl14_24 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17116,f230])). 72.37/71.55 tff(f17122,plain,( 72.37/71.55 spl14_557 <=> length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,t2tb3(sK3),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_557])])). 72.37/71.55 tff(f17125,plain,( 72.37/71.55 spl14_558 <=> ! [X3 : uni] : tb2t3(cons(a1,X3,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))))) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_558])])). 72.37/71.55 tff(f17127,plain,( 72.37/71.55 ~spl14_557 | spl14_558 | ~spl14_24 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17117,f17078,f359,f17125,f17122])). 72.37/71.55 tff(f17132,plain,( 72.37/71.55 spl14_560 <=> nil(a1) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_560])])). 72.37/71.55 tff(f17138,plain,( 72.37/71.55 spl14_563 <=> length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != 0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_563])])). 72.37/71.55 tff(f17140,plain,( 72.37/71.55 spl14_560 | ~spl14_563 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17090,f17078,f17138,f17132])). 72.37/71.55 tff(f17147,plain,( 72.37/71.55 spl14_564 <=> none(a1) = nth(a1,length(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_564])])). 72.37/71.55 tff(f17153,plain,( 72.37/71.55 spl14_567 <=> length(a1,t2tb3(sK5)) != length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_567])])). 72.37/71.55 tff(f17155,plain,( 72.37/71.55 spl14_564 | ~spl14_567 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17097,f17078,f17153,f17147])). 72.37/71.55 tff(f17161,plain,( 72.37/71.55 spl14_568 <=> none(a1) = nth(a1,length(a1,t2tb3(sK0)),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_568])])). 72.37/71.55 tff(f17163,plain,( 72.37/71.55 spl14_568 | ~spl14_563 | spl14_143 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17099,f17078,f1552,f17138,f17161])). 72.37/71.55 tff(f17168,plain,( 72.37/71.55 spl14_571 <=> length(a1,t2tb3(sK1)) != length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_571])])). 72.37/71.55 tff(f17170,plain,( 72.37/71.55 spl14_568 | ~spl14_571 | ~spl14_144 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17100,f17078,f1558,f17168,f17161])). 72.37/71.55 tff(f17174,plain,( 72.37/71.55 spl14_572 <=> ! [X26 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X26,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_572])])). 72.37/71.55 tff(f17180,plain,( 72.37/71.55 spl14_575 <=> length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) != -1), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_575])])). 72.37/71.55 tff(f17182,plain,( 72.37/71.55 spl14_572 | ~spl14_575 | spl14_143 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17102,f17078,f1552,f17180,f17174])). 72.37/71.55 tff(f17184,plain,( 72.37/71.55 spl14_576 <=> ! [X27 : uni] : nil(a1) = cons(a1,X27,infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_576])])). 72.37/71.55 tff(f17186,plain,( 72.37/71.55 spl14_576 | ~spl14_575 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17103,f17078,f17180,f17184])). 72.37/71.55 tff(f17187,plain,( 72.37/71.55 ( ! [X0:$int] : (length(a1,t2tb3(sK7)) != X0 | $sum(length(a1,t2tb3(sK5)),length(a1,t2tb3(sK8))) = X0) ) | (~spl14_4 | ~spl14_20)), 72.37/71.55 inference(superposition,[],[f15914,f344])). 72.37/71.55 tff(f17191,plain,( 72.37/71.55 ( ! [X0:uni] : (length(a1,infix_plpl(a1,t2tb3(sK11),X0)) = $sum(length(a1,t2tb3(sK5)),length(a1,X0))) ) | ~spl14_4), 72.37/71.55 inference(equality_resolution,[],[f15914])). 72.37/71.55 tff(f17198,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) = $sum(length(a1,t2tb3(sK5)),length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(superposition,[],[f17191,f17079])). 72.37/71.55 tff(f17201,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5))) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f17191,f17061])). 72.37/71.55 tff(f17202,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5))) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f17061,f17191])). 72.37/71.55 tff(f17206,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) | (~spl14_4 | ~spl14_552)), 72.37/71.55 inference(forward_demodulation,[],[f17198,f17191])). 72.37/71.55 tff(f17211,plain,( 72.37/71.55 spl14_578 <=> length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_578])])). 72.37/71.55 tff(f17213,plain,( 72.37/71.55 spl14_578 | ~spl14_4 | ~spl14_552), 72.37/71.55 inference(avatar_split_clause,[],[f17206,f17078,f280,f17211])). 72.37/71.55 tff(f17219,plain,( 72.37/71.55 spl14_580 <=> length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_580])])). 72.37/71.55 tff(f17220,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5))) | ~spl14_580), 72.37/71.55 inference(avatar_component_clause,[],[f17219])). 72.37/71.55 tff(f17221,plain,( 72.37/71.55 spl14_580 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f17201,f280,f17219])). 72.37/71.55 tff(f17222,plain,( 72.37/71.55 spl14_580 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f17202,f280,f17219])). 72.37/71.55 tff(f17290,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK5)))) = $sum(length(a1,t2tb3(sK5)),length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(superposition,[],[f17191,f17220])). 72.37/71.55 tff(f17291,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5)),t2tb3(sK11))) = $sum(length(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))),length(a1,t2tb3(sK5))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(superposition,[],[f17061,f17220])). 72.37/71.55 tff(f17308,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK5)))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(forward_demodulation,[],[f17290,f17191])). 72.37/71.55 tff(f17313,plain,( 72.37/71.55 spl14_582 <=> length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK5))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_582])])). 72.37/71.55 tff(f17315,plain,( 72.37/71.55 spl14_582 | ~spl14_4 | ~spl14_580), 72.37/71.55 inference(avatar_split_clause,[],[f17308,f17219,f280,f17313])). 72.37/71.55 tff(f17316,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)),t2tb3(sK11))) = length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),t2tb3(sK5)),t2tb3(sK11))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(forward_demodulation,[],[f17291,f17061])). 72.37/71.55 tff(f17317,plain,( 72.37/71.55 length(a1,infix_plpl(a1,infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)),t2tb3(sK11))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(forward_demodulation,[],[f17316,f230])). 72.37/71.55 tff(f17318,plain,( 72.37/71.55 length(a1,infix_plpl(a1,t2tb3(sK5),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11)))) | (~spl14_4 | ~spl14_580)), 72.37/71.55 inference(forward_demodulation,[],[f17317,f230])). 72.37/71.55 tff(f17323,plain,( 72.37/71.55 spl14_584 <=> length(a1,infix_plpl(a1,t2tb3(sK5),infix_plpl(a1,t2tb3(sK11),t2tb3(sK11)))) = length(a1,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK5),t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_584])])). 72.37/71.55 tff(f17325,plain,( 72.37/71.55 spl14_584 | ~spl14_4 | ~spl14_580), 72.37/71.55 inference(avatar_split_clause,[],[f17318,f17219,f280,f17323])). 72.37/71.55 tff(f17333,plain,( 72.37/71.55 length(a1,t2tb3(sK7)) = $sum(length(a1,t2tb3(sK5)),length(a1,t2tb3(sK8))) | (~spl14_4 | ~spl14_20)), 72.37/71.55 inference(equality_resolution,[],[f17187])). 72.37/71.55 tff(f17338,plain,( 72.37/71.55 spl14_586 <=> length(a1,t2tb3(sK7)) = $sum(length(a1,t2tb3(sK5)),length(a1,t2tb3(sK8)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_586])])). 72.37/71.55 tff(f17340,plain,( 72.37/71.55 spl14_586 | ~spl14_4 | ~spl14_20), 72.37/71.55 inference(avatar_split_clause,[],[f17333,f343,f280,f17338])). 72.37/71.55 tff(f17358,plain,( 72.37/71.55 ( ! [X21:uni,X20:uni] : (~mem(a1,X21,infix_plpl(a1,t2tb3(sK11),X20)) | mem(a1,X21,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X20)) | cons_proj_1(a1,t2tb3(sK7)) = X21 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X21)) ) | ~spl14_292), 72.37/71.55 inference(superposition,[],[f207,f9240])). 72.37/71.55 tff(f17388,plain,( 72.37/71.55 ~spl14_297 | spl14_428 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f17358,f9239,f14558,f9254])). 72.37/71.55 tff(f17864,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),X0)) | mem(a1,t2tb(sK6),X0)) ) | (~spl14_231 | ~spl14_292)), 72.37/71.55 inference(resolution,[],[f16820,f6250])). 72.37/71.55 tff(f17877,plain,( 72.37/71.55 ( ! [X10:uni] : (mem(a1,t2tb(sK6),infix_plpl(a1,t2tb3(sK7),X10)) | ~mem(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),t2tb3(sK11)))) ) | (~spl14_20 | ~spl14_231 | ~spl14_292)), 72.37/71.55 inference(resolution,[],[f17864,f4673])). 72.37/71.55 tff(f17894,plain,( 72.37/71.55 spl14_589 <=> ~mem(a1,t2tb(sK6),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK11)),t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_589])])). 72.37/71.55 tff(f17896,plain,( 72.37/71.55 ~spl14_589 | spl14_520 | ~spl14_20 | spl14_231 | ~spl14_292), 72.37/71.55 inference(avatar_split_clause,[],[f17877,f9239,f6249,f343,f15836,f17894])). 72.37/71.55 tff(f17914,plain,( 72.37/71.55 ( ! [X15:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X15)) = infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK8),X15)) | nil(a1) = t2tb3(sK11)) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f1044,f14856])). 72.37/71.55 tff(f17926,plain,( 72.37/71.55 ( ! [X43:uni] : (cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))) = cons_proj_1(a1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X43)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5729,f14856])). 72.37/71.55 tff(f17927,plain,( 72.37/71.55 ( ! [X44:uni] : (nil(a1) != infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X44) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5736,f14856])). 72.37/71.55 tff(f17928,plain,( 72.37/71.55 ( ! [X45:uni] : (mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK11))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X45)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | ~spl14_430), 72.37/71.55 inference(superposition,[],[f5809,f14856])). 72.37/71.55 tff(f17933,plain,( 72.37/71.55 ( ! [X15:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK11)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X15)) = infix_plpl(a1,t2tb3(sK7),X15) | nil(a1) = t2tb3(sK11)) ) | (~spl14_20 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f17914,f1103])). 72.37/71.55 tff(f17934,plain,( 72.37/71.55 ( ! [X15:uni] : (cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X15)) = infix_plpl(a1,t2tb3(sK7),X15) | nil(a1) = t2tb3(sK11)) ) | (~spl14_20 | ~spl14_280 | ~spl14_430)), 72.37/71.55 inference(forward_demodulation,[],[f17933,f9172])). 72.37/71.55 tff(f17936,plain,( 72.37/71.55 spl14_590 <=> ! [X15 : uni] : cons(a1,cons_proj_1(a1,t2tb3(sK7)),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X15)) = infix_plpl(a1,t2tb3(sK7),X15)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_590])])). 72.37/71.55 tff(f17938,plain,( 72.37/71.55 spl14_52 | spl14_590 | ~spl14_20 | ~spl14_280 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f17934,f14836,f9171,f343,f17936,f496])). 72.37/71.55 tff(f17944,plain,( 72.37/71.55 ( ! [X43:uni] : (cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X43)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | (~spl14_430 | ~spl14_440)), 72.37/71.55 inference(forward_demodulation,[],[f17926,f14890])). 72.37/71.55 tff(f17946,plain,( 72.37/71.55 spl14_592 <=> ! [X43 : uni] : cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = cons_proj_1(a1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X43))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_592])])). 72.37/71.55 tff(f17948,plain,( 72.37/71.55 spl14_438 | spl14_592 | ~spl14_430 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f17944,f14889,f14836,f17946,f14883])). 72.37/71.55 tff(f17950,plain,( 72.37/71.55 spl14_594 <=> ! [X44 : uni] : nil(a1) != infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X44)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_594])])). 72.37/71.55 tff(f17952,plain,( 72.37/71.55 spl14_438 | spl14_594 | ~spl14_430), 72.37/71.55 inference(avatar_split_clause,[],[f17927,f14836,f17950,f14883])). 72.37/71.55 tff(f17953,plain,( 72.37/71.55 ( ! [X45:uni] : (mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X45)) | nil(a1) = cons_proj_2(a1,t2tb3(sK11))) ) | (~spl14_430 | ~spl14_440)), 72.37/71.55 inference(forward_demodulation,[],[f17928,f14890])). 72.37/71.55 tff(f17955,plain,( 72.37/71.55 spl14_596 <=> ! [X45 : uni] : mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X45))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_596])])). 72.37/71.55 tff(f17956,plain,( 72.37/71.55 ( ! [X45:uni] : (mem(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X45))) ) | ~spl14_596), 72.37/71.55 inference(avatar_component_clause,[],[f17955])). 72.37/71.55 tff(f17957,plain,( 72.37/71.55 spl14_438 | spl14_596 | ~spl14_430 | ~spl14_440), 72.37/71.55 inference(avatar_split_clause,[],[f17953,f14889,f14836,f17955,f14883])). 72.37/71.55 tff(f18160,plain,( 72.37/71.55 ( ! [X4:uni,X2:ty,X0:bool,X3:uni,X1:bool] : (true != X1 | match_bool(X2,X1,cons_proj_1(X2,X3),X4) = cons_proj_1(X2,X3) | true = X0) )), 72.37/71.55 inference(equality_factoring,[],[f921])). 72.37/71.55 tff(f18188,plain,( 72.37/71.55 spl14_598 <=> ! [X1 : bool,X3 : uni,X2 : ty,X4 : uni] : (true != X1 | match_bool(X2,X1,cons_proj_1(X2,X3),X4) = cons_proj_1(X2,X3))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_598])])). 72.37/71.55 tff(f18190,plain,( 72.37/71.55 spl14_370 | spl14_598), 72.37/71.55 inference(avatar_split_clause,[],[f18160,f18188,f10537])). 72.37/71.55 tff(f18193,plain,( 72.37/71.55 ( ! [X2:uni,X1:uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1))))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))))) ) | ~spl14_596), 72.37/71.55 inference(resolution,[],[f17956,f1318])). 72.37/71.55 tff(f18200,plain,( 72.37/71.55 spl14_600 <=> ! [X1 : uni,X2 : uni] : (~sort(a1,X2) | cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1)) = infix_plpl(a1,sK12(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1))),cons(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),sK13(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))),cons(a1,X2,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X1))))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_600])])). 72.37/71.55 tff(f18202,plain,( 72.37/71.55 ~spl14_489 | spl14_600 | ~spl14_596), 72.37/71.55 inference(avatar_split_clause,[],[f18193,f17955,f18200,f15270])). 72.37/71.55 tff(f18455,plain,( 72.37/71.55 ( ! [X4:uni,X2:ty,X0:bool,X3:uni,X1:bool] : (true != X1 | match_bool(X2,X1,some_proj_1(X2,X3),X4) = some_proj_1(X2,X3) | true = X0) )), 72.37/71.55 inference(equality_factoring,[],[f933])). 72.37/71.55 tff(f18483,plain,( 72.37/71.55 spl14_602 <=> ! [X1 : bool,X3 : uni,X2 : ty,X4 : uni] : (true != X1 | match_bool(X2,X1,some_proj_1(X2,X3),X4) = some_proj_1(X2,X3))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_602])])). 72.37/71.55 tff(f18485,plain,( 72.37/71.55 spl14_370 | spl14_602), 72.37/71.55 inference(avatar_split_clause,[],[f18455,f18483,f10537])). 72.37/71.55 tff(f18500,plain,( 72.37/71.55 ( ! [X21:uni,X22:uni] : (mem(a1,X22,infix_plpl(a1,t2tb3(sK7),X21)) | ~mem(a1,X22,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X21)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X22)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f205,f15104])). 72.37/71.55 tff(f18501,plain,( 72.37/71.55 ( ! [X24:uni,X23:uni] : (~mem(a1,X24,infix_plpl(a1,t2tb3(sK7),X23)) | mem(a1,X24,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X23)) | cons_proj_1(a1,t2tb3(sK7)) = X24 | ~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~sort(a1,X24)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f207,f15104])). 72.37/71.55 tff(f18503,plain,( 72.37/71.55 ( ! [X26:uni] : (cons_proj_2(a1,infix_plpl(a1,t2tb3(sK7),X26)) = infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X26)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f216,f15104])). 72.37/71.55 tff(f18531,plain,( 72.37/71.55 spl14_604 <=> ! [X22 : uni,X21 : uni] : (mem(a1,X22,infix_plpl(a1,t2tb3(sK7),X21)) | ~sort(a1,X22) | ~mem(a1,X22,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X21)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_604])])). 72.37/71.55 tff(f18533,plain,( 72.37/71.55 ~spl14_297 | spl14_604 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f18500,f14873,f18531,f9254])). 72.37/71.55 tff(f18535,plain,( 72.37/71.55 spl14_606 <=> ! [X23 : uni,X24 : uni] : (~mem(a1,X24,infix_plpl(a1,t2tb3(sK7),X23)) | ~sort(a1,X24) | cons_proj_1(a1,t2tb3(sK7)) = X24 | mem(a1,X24,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X23)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_606])])). 72.37/71.55 tff(f18537,plain,( 72.37/71.55 ~spl14_297 | spl14_606 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f18501,f14873,f18535,f9254])). 72.37/71.55 tff(f18544,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK7),X0)) | cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X0)) = X1 | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X0)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f1409,f18503])). 72.37/71.55 tff(f18545,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK7),X2)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X2))) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X2)) ) | ~spl14_436), 72.37/71.55 inference(superposition,[],[f1241,f18503])). 72.37/71.55 tff(f18548,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK7),X0)) | ~sort(a1,cons_proj_1(a1,infix_plpl(a1,t2tb3(sK7),X0))) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X0)) ) | (~spl14_280 | ~spl14_282 | ~spl14_436)), 72.37/71.55 inference(forward_demodulation,[],[f18544,f9297])). 72.37/71.55 tff(f18549,plain,( 72.37/71.55 ( ! [X0:uni,X1:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | cons_proj_1(a1,t2tb3(sK7)) = X1 | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK7),X0)) | ~sort(a1,X1) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X0)) ) | (~spl14_280 | ~spl14_282 | ~spl14_436)), 72.37/71.55 inference(forward_demodulation,[],[f18548,f9297])). 72.37/71.55 tff(f18551,plain,( 72.37/71.55 spl14_608 <=> ! [X1 : uni,X0 : uni] : (cons_proj_1(a1,t2tb3(sK7)) = X1 | nil(a1) = infix_plpl(a1,t2tb3(sK7),X0) | ~sort(a1,X1) | ~mem(a1,X1,infix_plpl(a1,t2tb3(sK7),X0)) | mem(a1,X1,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X0)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_608])])). 72.37/71.55 tff(f18553,plain,( 72.37/71.55 spl14_608 | ~spl14_297 | ~spl14_280 | ~spl14_282 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f18549,f14873,f9175,f9171,f9254,f18551])). 72.37/71.55 tff(f18554,plain,( 72.37/71.55 ( ! [X2:uni,X3:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X2)) | mem(a1,X3,infix_plpl(a1,t2tb3(sK7),X2)) | ~sort(a1,X3) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X2)) ) | (~spl14_280 | ~spl14_282 | ~spl14_436)), 72.37/71.55 inference(forward_demodulation,[],[f18545,f9297])). 72.37/71.55 tff(f18556,plain,( 72.37/71.55 spl14_610 <=> ! [X3 : uni,X2 : uni] : (~mem(a1,X3,infix_plpl(a1,cons_proj_2(a1,t2tb3(sK7)),X2)) | nil(a1) = infix_plpl(a1,t2tb3(sK7),X2) | ~sort(a1,X3) | mem(a1,X3,infix_plpl(a1,t2tb3(sK7),X2)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_610])])). 72.37/71.55 tff(f18558,plain,( 72.37/71.55 spl14_610 | ~spl14_297 | ~spl14_280 | ~spl14_282 | ~spl14_436), 72.37/71.55 inference(avatar_split_clause,[],[f18554,f14873,f9175,f9171,f9254,f18556])). 72.37/71.55 tff(f18809,plain,( 72.37/71.55 ( ! [X1:uni] : (mem(a1,X1,cons_proj_2(a1,t2tb3(sK11))) | ~mem(a1,X1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) | ~sort(a1,X1)) ) | ~spl14_478), 72.37/71.55 inference(superposition,[],[f205,f15238])). 72.37/71.55 tff(f18810,plain,( 72.37/71.55 ( ! [X2:uni] : (~mem(a1,X2,cons_proj_2(a1,t2tb3(sK11))) | mem(a1,X2,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = X2 | ~sort(a1,cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7)))) | ~sort(a1,X2)) ) | ~spl14_478), 72.37/71.55 inference(superposition,[],[f207,f15238])). 72.37/71.55 tff(f18830,plain,( 72.37/71.55 ( ! [X48:uni] : (mem(a1,X48,cons_proj_2(a1,t2tb3(sK11))) | ~mem(a1,X48,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))))) ) | ~spl14_478), 72.37/71.55 inference(superposition,[],[f2357,f15238])). 72.37/71.55 tff(f18831,plain,( 72.37/71.55 length(a1,cons_proj_2(a1,t2tb3(sK11))) = $sum(1,length(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))))) | ~spl14_478), 72.37/71.55 inference(superposition,[],[f3113,f15238])). 72.37/71.55 tff(f18835,plain,( 72.37/71.55 spl14_612 <=> ! [X1 : uni] : (mem(a1,X1,cons_proj_2(a1,t2tb3(sK11))) | ~sort(a1,X1) | ~mem(a1,X1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_612])])). 72.37/71.55 tff(f18837,plain,( 72.37/71.55 ~spl14_489 | spl14_612 | ~spl14_478), 72.37/71.55 inference(avatar_split_clause,[],[f18809,f15237,f18835,f15270])). 72.37/71.55 tff(f18839,plain,( 72.37/71.55 spl14_614 <=> ! [X2 : uni] : (~mem(a1,X2,cons_proj_2(a1,t2tb3(sK11))) | ~sort(a1,X2) | cons_proj_1(a1,cons_proj_2(a1,t2tb3(sK7))) = X2 | mem(a1,X2,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_614])])). 72.37/71.55 tff(f18841,plain,( 72.37/71.55 ~spl14_489 | spl14_614 | ~spl14_478), 72.37/71.55 inference(avatar_split_clause,[],[f18810,f15237,f18839,f15270])). 72.37/71.55 tff(f18848,plain,( 72.37/71.55 spl14_616 <=> length(a1,cons_proj_2(a1,t2tb3(sK11))) = $sum(1,length(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_616])])). 72.37/71.55 tff(f18849,plain,( 72.37/71.55 length(a1,cons_proj_2(a1,t2tb3(sK11))) = $sum(1,length(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))))) | ~spl14_616), 72.37/71.55 inference(avatar_component_clause,[],[f18848])). 72.37/71.55 tff(f18850,plain,( 72.37/71.55 spl14_616 | ~spl14_478), 72.37/71.55 inference(avatar_split_clause,[],[f18831,f15237,f18848])). 72.37/71.55 tff(f19028,plain,( 72.37/71.55 ( ! [X2:$int,X0:ty,X1:uni] : (length(X0,cons(X0,X1,nil(X0))) != X2 | $sum(1,0) = X2) )), 72.37/71.55 inference(equality_resolution,[],[f1275])). 72.37/71.55 tff(f19029,plain,( 72.37/71.55 ( ! [X2:$int,X0:ty,X1:uni] : (length(X0,cons(X0,X1,nil(X0))) != X2 | 1 = X2) )), 72.37/71.55 inference(evaluation,[],[f19028])). 72.37/71.55 tff(f19060,plain,( 72.37/71.55 ~mem(a1,t2tb(sK6),cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | (~spl14_363 | ~spl14_478)), 72.37/71.55 inference(resolution,[],[f18830,f10255])). 72.37/71.55 tff(f19061,plain,( 72.37/71.55 ( ! [X0:uni] : (~mem(a1,X0,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | mem(a1,X0,t2tb3(sK11)) | ~sort(a1,cons_proj_1(a1,t2tb3(sK11))) | ~sort(a1,X0) | nil(a1) = t2tb3(sK11)) ) | ~spl14_478), 72.37/71.55 inference(resolution,[],[f18830,f1241])). 72.37/71.55 tff(f19070,plain,( 72.37/71.55 spl14_619 <=> ~mem(a1,t2tb(sK6),cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_619])])). 72.37/71.55 tff(f19072,plain,( 72.37/71.55 ~spl14_619 | spl14_363 | ~spl14_478), 72.37/71.55 inference(avatar_split_clause,[],[f19060,f15237,f10254,f19070])). 72.37/71.55 tff(f19073,plain,( 72.37/71.55 ( ! [X0:uni] : (~sort(a1,cons_proj_1(a1,t2tb3(sK7))) | ~mem(a1,X0,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | mem(a1,X0,t2tb3(sK11)) | ~sort(a1,X0) | nil(a1) = t2tb3(sK11)) ) | (~spl14_280 | ~spl14_478)), 72.37/71.55 inference(forward_demodulation,[],[f19061,f9172])). 72.37/71.55 tff(f19075,plain,( 72.37/71.55 spl14_620 <=> ! [X0 : uni] : (~mem(a1,X0,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11)))) | ~sort(a1,X0) | mem(a1,X0,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_620])])). 72.37/71.55 tff(f19077,plain,( 72.37/71.55 spl14_52 | spl14_620 | ~spl14_297 | ~spl14_280 | ~spl14_478), 72.37/71.55 inference(avatar_split_clause,[],[f19073,f15237,f9171,f9254,f19075,f496])). 72.37/71.55 tff(f19082,plain,( 72.37/71.55 ( ! [X0:ty,X1:uni] : (length(X0,cons(X0,X1,nil(X0))) = 1) )), 72.37/71.55 inference(equality_resolution,[],[f19029])). 72.37/71.55 tff(f19090,plain,( 72.37/71.55 ( ! [X8:uni] : (length(a1,infix_plpl(a1,t2tb3(sK11),cons(a1,X8,nil(a1)))) = $sum(length(a1,t2tb3(sK5)),1)) ) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f17191,f19082])). 72.37/71.55 tff(f19093,plain,( 72.37/71.55 ( ! [X12:uni,X13:uni] : (length(a1,t2tb3(sK1)) != $sum(1,1) | tb2t3(cons(a1,X13,infix_plpl(a1,cons(a1,X12,nil(a1)),t2tb3(sK10)))) != sK0) )), 72.37/71.55 inference(superposition,[],[f9296,f19082])). 72.37/71.55 tff(f19108,plain,( 72.37/71.55 ( ! [X12:uni,X13:uni] : (length(a1,t2tb3(sK1)) != 2 | tb2t3(cons(a1,X13,infix_plpl(a1,cons(a1,X12,nil(a1)),t2tb3(sK10)))) != sK0) )), 72.37/71.55 inference(evaluation,[],[f19093])). 72.37/71.55 tff(f19121,plain,( 72.37/71.55 ( ! [X12:uni,X13:uni] : (tb2t3(cons(a1,X13,cons(a1,X12,infix_plpl(a1,nil(a1),t2tb3(sK10))))) != sK0 | length(a1,t2tb3(sK1)) != 2) )), 72.37/71.55 inference(forward_demodulation,[],[f19108,f199])). 72.37/71.55 tff(f19122,plain,( 72.37/71.55 ( ! [X12:uni,X13:uni] : (tb2t3(cons(a1,X13,cons(a1,X12,t2tb3(sK10)))) != sK0 | length(a1,t2tb3(sK1)) != 2) )), 72.37/71.55 inference(forward_demodulation,[],[f19121,f198])). 72.37/71.55 tff(f19127,plain,( 72.37/71.55 spl14_623 <=> length(a1,t2tb3(sK1)) != 2), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_623])])). 72.37/71.55 tff(f19130,plain,( 72.37/71.55 spl14_624 <=> ! [X13 : uni,X12 : uni] : tb2t3(cons(a1,X13,cons(a1,X12,t2tb3(sK10)))) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_624])])). 72.37/71.55 tff(f19132,plain,( 72.37/71.55 ~spl14_623 | spl14_624), 72.37/71.55 inference(avatar_split_clause,[],[f19122,f19130,f19127])). 72.37/71.55 tff(f19145,plain,( 72.37/71.55 ( ! [X0:uni] : (length(a1,t2tb3(sK1)) != length(a1,cons_proj_2(a1,t2tb3(sK11))) | tb2t3(cons(a1,X0,infix_plpl(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK10)))) != sK0) ) | ~spl14_616), 72.37/71.55 inference(superposition,[],[f9296,f18849])). 72.37/71.55 tff(f19147,plain,( 72.37/71.55 spl14_626 <=> ! [X0 : uni] : tb2t3(cons(a1,X0,infix_plpl(a1,cons_proj_2(a1,cons_proj_2(a1,t2tb3(sK11))),t2tb3(sK10)))) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_626])])). 72.37/71.55 tff(f19153,plain,( 72.37/71.55 spl14_629 <=> length(a1,t2tb3(sK1)) != length(a1,cons_proj_2(a1,t2tb3(sK11)))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_629])])). 72.37/71.55 tff(f19155,plain,( 72.37/71.55 spl14_626 | ~spl14_629 | ~spl14_616), 72.37/71.55 inference(avatar_split_clause,[],[f19145,f18848,f19153,f19147])). 72.37/71.55 tff(f19167,plain,( 72.37/71.55 ( ! [X6:uni,X7:uni] : (length(a1,t2tb3(sK1)) != $sum(1,$sum(length(a1,t2tb3(sK5)),1)) | tb2t3(cons(a1,X7,infix_plpl(a1,infix_plpl(a1,t2tb3(sK11),cons(a1,X6,nil(a1))),t2tb3(sK10)))) != sK0) ) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f9296,f19090])). 72.37/71.55 tff(f19175,plain,( 72.37/71.55 ( ! [X30:uni] : (length(a1,t2tb3(sK5)) != $sum(length(a1,t2tb3(sK5)),1) | none(a1) = nth(a1,length(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),cons(a1,X30,nil(a1))))) ) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f1532,f19090])). 72.37/71.55 tff(f19178,plain,( 72.37/71.55 ( ! [X36:uni] : (length(a1,t2tb3(sK1)) != $sum(length(a1,t2tb3(sK5)),1) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),infix_plpl(a1,t2tb3(sK11),cons(a1,X36,nil(a1))))) ) | (~spl14_4 | ~spl14_144)), 72.37/71.55 inference(superposition,[],[f1588,f19090])). 72.37/71.55 tff(f19180,plain,( 72.37/71.55 ( ! [X43:uni,X42:uni] : ($sum(length(a1,t2tb3(sK5)),1) != -1 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X43,infix_plpl(a1,t2tb3(sK11),cons(a1,X42,nil(a1)))))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.55 inference(superposition,[],[f3935,f19090])). 72.37/71.55 tff(f19181,plain,( 72.37/71.55 ( ! [X45:uni,X44:uni] : ($sum(length(a1,t2tb3(sK5)),1) != -1 | nil(a1) = cons(a1,X45,infix_plpl(a1,t2tb3(sK11),cons(a1,X44,nil(a1))))) ) | ~spl14_4), 72.37/71.55 inference(superposition,[],[f3937,f19090])). 72.37/71.55 tff(f19182,plain,( 72.37/71.55 ( ! [X45:uni,X44:uni] : (length(a1,t2tb3(sK5)) != $sum(-1,-1) | nil(a1) = cons(a1,X45,infix_plpl(a1,t2tb3(sK11),cons(a1,X44,nil(a1))))) ) | ~spl14_4), 72.37/71.55 inference(evaluation,[],[f19181])). 72.37/71.55 tff(f19183,plain,( 72.37/71.55 ( ! [X45:uni,X44:uni] : (length(a1,t2tb3(sK5)) != -2 | nil(a1) = cons(a1,X45,infix_plpl(a1,t2tb3(sK11),cons(a1,X44,nil(a1))))) ) | ~spl14_4), 72.37/71.55 inference(evaluation,[],[f19182])). 72.37/71.55 tff(f19184,plain,( 72.37/71.55 ( ! [X43:uni,X42:uni] : (length(a1,t2tb3(sK5)) != $sum(-1,-1) | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X43,infix_plpl(a1,t2tb3(sK11),cons(a1,X42,nil(a1)))))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.55 inference(evaluation,[],[f19180])). 72.37/71.55 tff(f19185,plain,( 72.37/71.55 ( ! [X43:uni,X42:uni] : (length(a1,t2tb3(sK5)) != -2 | none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X43,infix_plpl(a1,t2tb3(sK11),cons(a1,X42,nil(a1)))))) ) | (~spl14_4 | ~spl14_143)), 72.37/71.55 inference(evaluation,[],[f19184])). 72.37/71.55 tff(f19199,plain,( 72.37/71.55 ( ! [X6:uni,X7:uni] : (tb2t3(cons(a1,X7,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,cons(a1,X6,nil(a1)),t2tb3(sK10))))) != sK0 | length(a1,t2tb3(sK1)) != $sum(1,$sum(length(a1,t2tb3(sK5)),1))) ) | ~spl14_4), 72.37/71.55 inference(forward_demodulation,[],[f19167,f230])). 72.37/71.55 tff(f19200,plain,( 72.37/71.55 ( ! [X6:uni,X7:uni] : (tb2t3(cons(a1,X7,infix_plpl(a1,t2tb3(sK11),cons(a1,X6,infix_plpl(a1,nil(a1),t2tb3(sK10)))))) != sK0 | length(a1,t2tb3(sK1)) != $sum(1,$sum(length(a1,t2tb3(sK5)),1))) ) | ~spl14_4), 72.37/71.55 inference(forward_demodulation,[],[f19199,f199])). 72.37/71.55 tff(f19201,plain,( 72.37/71.55 ( ! [X6:uni,X7:uni] : (tb2t3(cons(a1,X7,infix_plpl(a1,t2tb3(sK11),cons(a1,X6,t2tb3(sK10))))) != sK0 | length(a1,t2tb3(sK1)) != $sum(1,$sum(length(a1,t2tb3(sK5)),1))) ) | ~spl14_4), 72.37/71.55 inference(forward_demodulation,[],[f19200,f198])). 72.37/71.55 tff(f19206,plain,( 72.37/71.55 spl14_631 <=> length(a1,t2tb3(sK1)) != $sum(1,$sum(length(a1,t2tb3(sK5)),1))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_631])])). 72.37/71.55 tff(f19209,plain,( 72.37/71.55 spl14_632 <=> ! [X7 : uni,X6 : uni] : tb2t3(cons(a1,X7,infix_plpl(a1,t2tb3(sK11),cons(a1,X6,t2tb3(sK10))))) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_632])])). 72.37/71.55 tff(f19210,plain,( 72.37/71.55 ( ! [X6:uni,X7:uni] : (tb2t3(cons(a1,X7,infix_plpl(a1,t2tb3(sK11),cons(a1,X6,t2tb3(sK10))))) != sK0) ) | ~spl14_632), 72.37/71.55 inference(avatar_component_clause,[],[f19209])). 72.37/71.55 tff(f19211,plain,( 72.37/71.55 ~spl14_631 | spl14_632 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f19201,f280,f19209,f19206])). 72.37/71.55 tff(f19219,plain,( 72.37/71.55 spl14_634 <=> ! [X30 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK7)),infix_plpl(a1,t2tb3(sK11),cons(a1,X30,nil(a1))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_634])])). 72.37/71.55 tff(f19225,plain,( 72.37/71.55 spl14_637 <=> length(a1,t2tb3(sK5)) != $sum(length(a1,t2tb3(sK5)),1)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_637])])). 72.37/71.55 tff(f19227,plain,( 72.37/71.55 spl14_634 | ~spl14_637 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f19175,f280,f19225,f19219])). 72.37/71.55 tff(f19232,plain,( 72.37/71.55 spl14_638 <=> ! [X36 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK0)),infix_plpl(a1,t2tb3(sK11),cons(a1,X36,nil(a1))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_638])])). 72.37/71.55 tff(f19238,plain,( 72.37/71.55 spl14_641 <=> length(a1,t2tb3(sK1)) != $sum(length(a1,t2tb3(sK5)),1)), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_641])])). 72.37/71.55 tff(f19240,plain,( 72.37/71.55 spl14_638 | ~spl14_641 | ~spl14_4 | ~spl14_144), 72.37/71.55 inference(avatar_split_clause,[],[f19178,f1558,f280,f19238,f19232])). 72.37/71.55 tff(f19246,plain,( 72.37/71.55 spl14_642 <=> ! [X42 : uni,X43 : uni] : none(a1) = nth(a1,length(a1,t2tb3(sK0)),cons(a1,X43,infix_plpl(a1,t2tb3(sK11),cons(a1,X42,nil(a1)))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_642])])). 72.37/71.55 tff(f19252,plain,( 72.37/71.55 spl14_645 <=> length(a1,t2tb3(sK5)) != -2), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_645])])). 72.37/71.55 tff(f19254,plain,( 72.37/71.55 spl14_642 | ~spl14_645 | ~spl14_4 | spl14_143), 72.37/71.55 inference(avatar_split_clause,[],[f19185,f1552,f280,f19252,f19246])). 72.37/71.55 tff(f19256,plain,( 72.37/71.55 spl14_646 <=> ! [X44 : uni,X45 : uni] : nil(a1) = cons(a1,X45,infix_plpl(a1,t2tb3(sK11),cons(a1,X44,nil(a1))))), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_646])])). 72.37/71.55 tff(f19258,plain,( 72.37/71.55 spl14_646 | ~spl14_645 | ~spl14_4), 72.37/71.55 inference(avatar_split_clause,[],[f19183,f280,f19252,f19256])). 72.37/71.55 tff(f19259,plain,( 72.37/71.55 ( ! [X0:uni] : (tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK11),t2tb3(sK8)))) != sK0) ) | (~spl14_28 | ~spl14_632)), 72.37/71.55 inference(superposition,[],[f19210,f376])). 72.37/71.55 tff(f19262,plain,( 72.37/71.55 ( ! [X0:uni] : (tb2t3(cons(a1,X0,t2tb3(sK7))) != sK0) ) | (~spl14_20 | ~spl14_28 | ~spl14_632)), 72.37/71.55 inference(forward_demodulation,[],[f19259,f344])). 72.37/71.55 tff(f19263,plain,( 72.37/71.55 tb2t3(t2tb3(sK0)) != sK0 | (~spl14_20 | ~spl14_22 | ~spl14_28 | ~spl14_632)), 72.37/71.55 inference(superposition,[],[f19262,f352])). 72.37/71.55 tff(f19269,plain,( 72.37/71.55 spl14_649 <=> tb2t3(t2tb3(sK0)) != sK0), 72.37/71.55 introduced(avatar_definition,[new_symbols(naming,[spl14_649])])). 72.37/71.55 tff(f19271,plain,( 72.37/71.55 ~spl14_649 | ~spl14_20 | ~spl14_22 | ~spl14_28 | ~spl14_632), 72.37/71.55 inference(avatar_split_clause,[],[f19263,f19209,f375,f351,f343,f19269])). 72.37/71.55 tff(f19272,plain,( 72.37/71.55 $false), 72.37/71.55 inference(avatar_sat_refutation,[],[f268,f275,f282,f289,f296,f303,f310,f317,f324,f337,f345,f353,f361,f369,f377,f393,f400,f407,f414,f429,f441,f448,f455,f462,f482,f489,f504,f632,f645,f658,f665,f667,f669,f671,f753,f760,f767,f774,f801,f808,f815,f822,f845,f1061,f1101,f1160,f1196,f1245,f1249,f1253,f1257,f1261,f1265,f1269,f1273,f1346,f1353,f1360,f1367,f1376,f1415,f1419,f1423,f1427,f1431,f1435,f1439,f1443,f1542,f1560,f1566,f1573,f1601,f1636,f1819,f2097,f2129,f2140,f2144,f2151,f2416,f3123,f3131,f3142,f3149,f3213,f3215,f3254,f3262,f4715,f5824,f5828,f5852,f5859,f5869,f5880,f5894,f5912,f5934,f6065,f6069,f6070,f6071,f6072,f6073,f6074,f6078,f6082,f6083,f6084,f6085,f6086,f6088,f6097,f6110,f6111,f6176,f6183,f6190,f6197,f6204,f6211,f6218,f6227,f6228,f6230,f6251,f6258,f6260,f6267,f6274,f6300,f6301,f6302,f6303,f6305,f6306,f6331,f6336,f6337,f6347,f6355,f6586,f6608,f6929,f7076,f7082,f7088,f7094,f7100,f7136,f7137,f7779,f7783,f7787,f7791,f7795,f7805,f7809,f7813,f7817,f7821,f7825,f7827,f9173,f9177,f9216,f9223,f9230,f9237,f9241,f9245,f9259,f9266,f9274,f9281,f9294,f9308,f9354,f9355,f9362,f9369,f9376,f9404,f9415,f9425,f9461,f9468,f9476,f9477,f9482,f9505,f9542,f9549,f9552,f9633,f9637,f9648,f10129,f10133,f10137,f10141,f10145,f10149,f10174,f10175,f10176,f10177,f10178,f10179,f10256,f10526,f10527,f10531,f10532,f10539,f10543,f10547,f10551,f10555,f10559,f10563,f10567,f10571,f10575,f10579,f10583,f10587,f10591,f10592,f10593,f10597,f10598,f10599,f10600,f10771,f10968,f11542,f11543,f11544,f11545,f11546,f11547,f11548,f11549,f11550,f11551,f11552,f11553,f11554,f12180,f12181,f12182,f12183,f12184,f12200,f12380,f13179,f13196,f13197,f13198,f13202,f13203,f13207,f13208,f13209,f13213,f13483,f13486,f14011,f14012,f14013,f14014,f14015,f14030,f14031,f14032,f14033,f14034,f14222,f14256,f14290,f14556,f14560,f14838,f14844,f14849,f14875,f14878,f14891,f14898,f14905,f14928,f14932,f14939,f14941,f14961,f14974,f14983,f14989,f14995,f14997,f14998,f14999,f15000,f15028,f15035,f15046,f15047,f15078,f15083,f15101,f15102,f15133,f15137,f15144,f15225,f15232,f15239,f15246,f15253,f15257,f15261,f15275,f15282,f15291,f15298,f15311,f15315,f15322,f15330,f15337,f15420,f15445,f15482,f15484,f15630,f15726,f15838,f15845,f15846,f15850,f15859,f15866,f15963,f15964,f15971,f15978,f15985,f16033,f16040,f16048,f16049,f16053,f16235,f16276,f16283,f16494,f16498,f17080,f17114,f17127,f17140,f17155,f17163,f17170,f17182,f17186,f17213,f17221,f17222,f17315,f17325,f17340,f17388,f17896,f17938,f17948,f17952,f17957,f18190,f18202,f18485,f18533,f18537,f18553,f18558,f18837,f18841,f18850,f19072,f19077,f19132,f19155,f19211,f19227,f19240,f19254,f19258,f19271])). 72.37/71.55 % SZS output end Proof for theBenchmark 72.37/71.55 % ------------------------------ 72.37/71.55 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 72.37/71.55 % Termination reason: Refutation 72.37/71.55 72.37/71.55 % Memory used [KB]: 24306 72.37/71.55 % Time elapsed: 0.642 s 72.37/71.55 % ------------------------------ 72.37/71.55 % ------------------------------ 72.37/71.55 % Success in time 71.18 s 72.37/71.55 EOF