0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.23 % Computer : n063.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 04:35:10 CDT 2018 0.02/0.23 % CPUTime : 0.06/0.27 % 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 0.52/0.77 % Time limit reached! 0.52/0.77 % ------------------------------ 0.52/0.77 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.52/0.77 % Termination reason: Time limit 0.52/0.77 % Termination phase: Saturation 0.52/0.77 0.52/0.77 % Memory used [KB]: 6268 0.52/0.77 % Time elapsed: 0.500 s 0.52/0.77 % ------------------------------ 0.52/0.77 % ------------------------------ 0.59/0.81 % 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 2.21/2.40 % Time limit reached! 2.21/2.40 % ------------------------------ 2.21/2.40 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.21/2.40 % Termination reason: Time limit 2.21/2.40 % Termination phase: Saturation 2.21/2.40 2.21/2.40 % Memory used [KB]: 11897 2.21/2.40 % Time elapsed: 1.600 s 2.21/2.40 % ------------------------------ 2.21/2.40 % ------------------------------ 2.21/2.44 % 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 3.23/3.44 % Time limit reached! 3.23/3.44 % ------------------------------ 3.23/3.44 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.23/3.44 % Termination reason: Time limit 3.23/3.44 % Termination phase: Saturation 3.23/3.44 3.23/3.44 % Memory used [KB]: 9722 3.23/3.44 % Time elapsed: 1.0000 s 3.23/3.44 % ------------------------------ 3.23/3.44 % ------------------------------ 3.23/3.48 % 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 13.03/13.28 % Time limit reached! 13.03/13.28 % ------------------------------ 13.03/13.28 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.03/13.28 % Termination reason: Time limit 13.03/13.28 % Termination phase: Saturation 13.03/13.28 13.03/13.28 % Memory used [KB]: 18805 13.03/13.28 % Time elapsed: 9.800 s 13.03/13.28 % ------------------------------ 13.03/13.28 % ------------------------------ 13.14/13.32 % 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 13.14/13.32 % Refutation not found, incomplete strategy 13.14/13.32 % ------------------------------ 13.14/13.32 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.14/13.32 % Termination reason: Refutation not found, incomplete strategy 13.14/13.32 13.14/13.32 % Memory used [KB]: 5245 13.14/13.32 % Time elapsed: 0.004 s 13.14/13.32 % ------------------------------ 13.14/13.32 % ------------------------------ 13.14/13.35 % 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 13.18/13.47 % Refutation found. Thanks to Tanya! 13.18/13.47 % SZS status Theorem for theBenchmark 13.18/13.47 % SZS output start Proof for theBenchmark 13.18/13.47 tff(type_def_5, type, uni: $tType). 13.18/13.47 tff(type_def_6, type, ty: $tType). 13.18/13.47 tff(type_def_7, type, bool1: $tType). 13.18/13.47 tff(type_def_8, type, tuple02: $tType). 13.18/13.47 tff(type_def_9, type, array_int: $tType). 13.18/13.47 tff(func_def_0, type, witness1: ty > uni). 13.18/13.47 tff(func_def_1, type, int: ty). 13.18/13.47 tff(func_def_2, type, real: ty). 13.18/13.47 tff(func_def_3, type, bool: ty). 13.18/13.47 tff(func_def_4, type, true1: bool1). 13.18/13.47 tff(func_def_5, type, false1: bool1). 13.18/13.47 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 13.18/13.47 tff(func_def_7, type, tuple0: ty). 13.18/13.47 tff(func_def_8, type, tuple03: tuple02). 13.18/13.47 tff(func_def_9, type, qtmark: ty). 13.18/13.47 tff(func_def_10, type, map: (ty * ty) > ty). 13.18/13.47 tff(func_def_11, type, get: (ty * ty * uni * uni) > uni). 13.18/13.47 tff(func_def_12, type, set: (ty * ty * uni * uni * uni) > uni). 13.18/13.47 tff(func_def_13, type, const: (ty * ty * uni) > uni). 13.18/13.47 tff(func_def_14, type, array: ty > ty). 13.18/13.47 tff(func_def_15, type, mk_array1: (ty * $int * uni) > uni). 13.18/13.47 tff(func_def_16, type, length1: (ty * uni) > $int). 13.18/13.47 tff(func_def_17, type, elts: (ty * uni) > uni). 13.18/13.47 tff(func_def_18, type, get2: (ty * uni * $int) > uni). 13.18/13.47 tff(func_def_19, type, t2tb: $int > uni). 13.18/13.47 tff(func_def_20, type, tb2t: uni > $int). 13.18/13.47 tff(func_def_21, type, set2: (ty * uni * $int * uni) > uni). 13.18/13.47 tff(func_def_22, type, make1: (ty * $int * uni) > uni). 13.18/13.47 tff(func_def_23, type, t2tb1: array_int > uni). 13.18/13.47 tff(func_def_24, type, tb2t1: uni > array_int). 13.18/13.47 tff(func_def_29, type, sK0: array_int). 13.18/13.47 tff(func_def_30, type, sK1: $int). 13.18/13.47 tff(func_def_31, type, sK2: $int). 13.18/13.47 tff(func_def_32, type, sK3: $int). 13.18/13.47 tff(func_def_33, type, sK4: (array_int * $int * $int * $int) > $int). 13.18/13.47 tff(func_def_34, type, sK5: (array_int * $int * $int * $int) > $int). 13.18/13.47 tff(pred_def_1, type, sort1: (ty * uni) > $o). 13.18/13.47 tff(pred_def_2, type, is_common_prefix1: (array_int * $int * $int * $int) > $o). 13.18/13.47 tff(pred_def_3, type, is_longest_common_prefix1: (array_int * $int * $int * $int) > $o). 13.18/13.47 tff(f17,axiom,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (($lesseq($sum(X8,X12),length1(int,t2tb1(X0))) & ! [X11 : $int] : (($lesseq(0,X11) & $less(X11,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X11))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X11)))) & $lesseq($sum(X1,X12),length1(int,t2tb1(X0))) & $lesseq(0,X12)) <=> is_common_prefix1(X0,X1,X8,X12))), 13.18/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_common_prefix_def)). 13.18/13.47 tff(f19,conjecture,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((is_common_prefix1(X0,X1,X8,X12) & ~is_common_prefix1(X0,X1,X8,$sum(X12,1))) => is_longest_common_prefix1(X0,X1,X8,X12))), 13.18/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',longest_common_prefix_succ)). 13.18/13.47 tff(f20,negated_conjecture,( 13.18/13.47 ~! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((is_common_prefix1(X0,X1,X8,X12) & ~is_common_prefix1(X0,X1,X8,$sum(X12,1))) => is_longest_common_prefix1(X0,X1,X8,X12))), 13.18/13.47 inference(negated_conjecture,[],[f19])). 13.18/13.47 tff(f24,axiom,( 13.18/13.47 ! [X0 : ty,X15 : uni,X11 : $int] : get(X0,int,elts(X0,X15),t2tb(X11)) = get2(X0,X15,X11)), 13.18/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',get_def)). 13.18/13.47 tff(f26,axiom,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (($lesseq(0,X12) & $less($sum(X1,X12),length1(int,t2tb1(X0))) & $less($sum(X8,X12),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X12)))) => ~is_common_prefix1(X0,X1,X8,$sum(X12,1)))), 13.18/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_common_prefix_if_last_char_are_different)). 13.18/13.47 tff(f32,axiom,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : (is_longest_common_prefix1(X0,X1,X8,X12) <=> (is_common_prefix1(X0,X1,X8,X12) & ! [X16 : $int] : ($less(X12,X16) => ~is_common_prefix1(X0,X1,X8,X16))))), 13.18/13.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_longest_common_prefix_def)). 13.18/13.47 tff(f38,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((~$less(X12,0) & $less($sum(X1,X12),length1(int,t2tb1(X0))) & $less($sum(X8,X12),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X12))) != tb2t(get2(int,t2tb1(X0),$sum(X8,X12)))) => ~is_common_prefix1(X0,X1,X8,$sum(X12,1)))), 13.18/13.47 inference(evaluation,[],[f26])). 13.18/13.47 tff(f39,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X8 : $int,X12 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X8,X12)) & ! [X11 : $int] : ((~$less(X11,0) & $less(X11,X12)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X11))) = tb2t(get2(int,t2tb1(X0),$sum(X8,X11)))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X12)) & ~$less(X12,0)) <=> is_common_prefix1(X0,X1,X8,X12))), 13.18/13.47 inference(evaluation,[],[f17])). 13.18/13.47 tff(f40,plain,( 13.18/13.47 ~! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))) => is_longest_common_prefix1(X0,X1,X2,X3))), 13.18/13.47 inference(rectify,[],[f20])). 13.18/13.47 tff(f53,plain,( 13.18/13.47 ! [X0 : ty,X1 : uni,X2 : $int] : get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)), 13.18/13.47 inference(rectify,[],[f24])). 13.18/13.47 tff(f61,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(X3,0) & $less($sum(X1,X3),length1(int,t2tb1(X0))) & $less($sum(X2,X3),length1(int,t2tb1(X0))) & tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) => ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 13.18/13.47 inference(rectify,[],[f38])). 13.18/13.47 tff(f62,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) <=> (is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4))))), 13.18/13.47 inference(rectify,[],[f32])). 13.18/13.47 tff(f63,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,X3)) => tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4)))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 13.18/13.47 inference(rectify,[],[f39])). 13.18/13.47 tff(f67,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((is_common_prefix1(X0,X1,X2,X3) & ! [X4 : $int] : ($less(X3,X4) => ~is_common_prefix1(X0,X1,X2,X4))) => is_longest_common_prefix1(X0,X1,X2,X3))), 13.18/13.47 inference(unused_predicate_definition_removal,[],[f62])). 13.18/13.47 tff(f68,plain,( 13.18/13.47 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & (is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))))), 13.18/13.47 inference(ennf_transformation,[],[f40])). 13.18/13.47 tff(f69,plain,( 13.18/13.47 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1)))), 13.18/13.47 inference(flattening,[],[f68])). 13.18/13.47 tff(f76,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | ($less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))))), 13.18/13.47 inference(ennf_transformation,[],[f61])). 13.18/13.47 tff(f77,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3))))), 13.18/13.47 inference(flattening,[],[f76])). 13.18/13.47 tff(f78,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | (~is_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4))))), 13.18/13.47 inference(ennf_transformation,[],[f67])). 13.18/13.47 tff(f79,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)))), 13.18/13.47 inference(flattening,[],[f78])). 13.18/13.47 tff(f80,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | ($less(X4,0) | ~$less(X4,X3))) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 13.18/13.47 inference(ennf_transformation,[],[f63])). 13.18/13.47 tff(f81,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : ((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) <=> is_common_prefix1(X0,X1,X2,X3))), 13.18/13.47 inference(flattening,[],[f80])). 13.18/13.47 tff(f86,plain,( 13.18/13.47 ? [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (~is_longest_common_prefix1(X0,X1,X2,X3) & is_common_prefix1(X0,X1,X2,X3) & ~is_common_prefix1(X0,X1,X2,$sum(X3,1))) => (~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & is_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)))), 13.18/13.47 introduced(choice_axiom,[])). 13.18/13.47 tff(f87,plain,( 13.18/13.47 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3) & is_common_prefix1(sK0,sK1,sK2,sK3) & ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 13.18/13.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f69,f86])). 13.18/13.47 tff(f88,plain,( 13.18/13.47 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X4 : $int] : (is_common_prefix1(X0,X1,X2,X4) & $less(X3,X4)) => (is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3)) & $less(X3,sK4(X0,X1,X2,X3))))), 13.18/13.47 introduced(choice_axiom,[])). 13.18/13.47 tff(f89,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | (is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3)) & $less(X3,sK4(X0,X1,X2,X3))))), 13.18/13.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f79,f88])). 13.18/13.47 tff(f90,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | ($less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0))))), 13.18/13.47 inference(nnf_transformation,[],[f81])). 13.18/13.47 tff(f91,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) & ~$less(X4,0) & $less(X4,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 13.18/13.47 inference(flattening,[],[f90])). 13.18/13.47 tff(f92,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 13.18/13.47 inference(rectify,[],[f91])). 13.18/13.47 tff(f93,plain,( 13.18/13.47 ! [X3 : $int,X2 : $int,X1 : $int,X0 : array_int] : (? [X5 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X5))) != tb2t(get2(int,t2tb1(X0),$sum(X2,X5))) & ~$less(X5,0) & $less(X5,X3)) => (tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) & ~$less(sK5(X0,X1,X2,X3),0) & $less(sK5(X0,X1,X2,X3),X3)))), 13.18/13.47 introduced(choice_axiom,[])). 13.18/13.47 tff(f94,plain,( 13.18/13.47 ! [X0 : array_int,X1 : $int,X2 : $int,X3 : $int] : (((~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) & ! [X4 : $int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3)) & ~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) & ~$less(X3,0)) | ~is_common_prefix1(X0,X1,X2,X3)) & (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | (tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) & ~$less(sK5(X0,X1,X2,X3),0) & $less(sK5(X0,X1,X2,X3),X3)) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)))), 13.18/13.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f92,f93])). 13.18/13.47 tff(f95,plain,( 13.18/13.47 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 13.18/13.47 inference(cnf_transformation,[],[f87])). 13.18/13.47 tff(f96,plain,( 13.18/13.47 is_common_prefix1(sK0,sK1,sK2,sK3)), 13.18/13.47 inference(cnf_transformation,[],[f87])). 13.18/13.47 tff(f97,plain,( 13.18/13.47 ~is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 13.18/13.47 inference(cnf_transformation,[],[f87])). 13.18/13.47 tff(f116,plain,( 13.18/13.47 ( ! [X2:$int,X0:ty,X1:uni] : (get(X0,int,elts(X0,X1),t2tb(X2)) = get2(X0,X1,X2)) )), 13.18/13.47 inference(cnf_transformation,[],[f53])). 13.18/13.47 tff(f126,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get2(int,t2tb1(X0),$sum(X1,X3))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X3)))) )), 13.18/13.47 inference(cnf_transformation,[],[f77])). 13.18/13.47 tff(f127,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | $less(X3,sK4(X0,X1,X2,X3))) )), 13.18/13.47 inference(cnf_transformation,[],[f89])). 13.18/13.47 tff(f128,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_longest_common_prefix1(X0,X1,X2,X3) | ~is_common_prefix1(X0,X1,X2,X3) | is_common_prefix1(X0,X1,X2,sK4(X0,X1,X2,X3))) )), 13.18/13.47 inference(cnf_transformation,[],[f89])). 13.18/13.47 tff(f129,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | $less(sK5(X0,X1,X2,X3),X3) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f130,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~$less(sK5(X0,X1,X2,X3),0) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f131,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get2(int,t2tb1(X0),$sum(X1,sK5(X0,X1,X2,X3)))) != tb2t(get2(int,t2tb1(X0),$sum(X2,sK5(X0,X1,X2,X3)))) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f132,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(X3,0) | ~is_common_prefix1(X0,X1,X2,X3)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f133,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X1,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f134,plain,( 13.18/13.47 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get2(int,t2tb1(X0),$sum(X1,X4))) = tb2t(get2(int,t2tb1(X0),$sum(X2,X4))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f135,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~$less(length1(int,t2tb1(X0)),$sum(X2,X3)) | ~is_common_prefix1(X0,X1,X2,X3)) )), 13.18/13.47 inference(cnf_transformation,[],[f94])). 13.18/13.47 tff(f142,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (~is_common_prefix1(X0,X1,X2,$sum(X3,1)) | $less(X3,0) | ~$less($sum(X1,X3),length1(int,t2tb1(X0))) | ~$less($sum(X2,X3),length1(int,t2tb1(X0))) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X3))))) )), 13.18/13.47 inference(definition_unfolding,[],[f126,f116,f116])). 13.18/13.47 tff(f143,plain,( 13.18/13.47 ( ! [X4:$int,X2:$int,X0:array_int,X3:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,X4)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,X4)))) | $less(X4,0) | ~$less(X4,X3) | ~is_common_prefix1(X0,X1,X2,X3)) )), 13.18/13.47 inference(definition_unfolding,[],[f134,f116,f116])). 13.18/13.47 tff(f144,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X3:$int,X1:$int] : (is_common_prefix1(X0,X1,X2,X3) | $less(length1(int,t2tb1(X0)),$sum(X2,X3)) | tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(X0,X1,X2,X3))))) != tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(X0,X1,X2,X3))))) | $less(length1(int,t2tb1(X0)),$sum(X1,X3)) | $less(X3,0)) )), 13.18/13.47 inference(definition_unfolding,[],[f131,f116,f116])). 13.18/13.47 tff(f150,plain,( 13.18/13.47 spl6_0 <=> is_common_prefix1(sK0,sK1,sK2,sK3)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_0])])). 13.18/13.47 tff(f151,plain,( 13.18/13.47 is_common_prefix1(sK0,sK1,sK2,sK3) | ~spl6_0), 13.18/13.47 inference(avatar_component_clause,[],[f150])). 13.18/13.47 tff(f152,plain,( 13.18/13.47 spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f96,f150])). 13.18/13.47 tff(f154,plain,( 13.18/13.47 spl6_2 <=> is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_2])])). 13.18/13.47 tff(f157,plain,( 13.18/13.47 spl6_3 <=> ~is_longest_common_prefix1(sK0,sK1,sK2,sK3)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_3])])). 13.18/13.47 tff(f159,plain,( 13.18/13.47 ~spl6_3), 13.18/13.47 inference(avatar_split_clause,[],[f97,f157])). 13.18/13.47 tff(f160,plain,( 13.18/13.47 ~$less(sK3,0) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f132])). 13.18/13.47 tff(f161,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f133])). 13.18/13.47 tff(f162,plain,( 13.18/13.47 ( ! [X0:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,X0)))) | $less(X0,0) | ~$less(X0,sK3)) ) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f143])). 13.18/13.47 tff(f163,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f135])). 13.18/13.47 tff(f164,plain,( 13.18/13.47 is_longest_common_prefix1(sK0,sK1,sK2,sK3) | $less(sK3,sK4(sK0,sK1,sK2,sK3)) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f127])). 13.18/13.47 tff(f165,plain,( 13.18/13.47 is_longest_common_prefix1(sK0,sK1,sK2,sK3) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_0), 13.18/13.47 inference(resolution,[],[f151,f128])). 13.18/13.47 tff(f169,plain,( 13.18/13.47 spl6_4 <=> $less(sK3,0)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])). 13.18/13.47 tff(f172,plain,( 13.18/13.47 spl6_5 <=> ~$less(sK3,0)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_5])])). 13.18/13.47 tff(f174,plain,( 13.18/13.47 ~spl6_5 | ~spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f160,f150,f172])). 13.18/13.47 tff(f187,plain,( 13.18/13.47 spl6_7 <=> ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])). 13.18/13.47 tff(f188,plain,( 13.18/13.47 ~is_common_prefix1(sK0,sK1,sK2,$sum(sK3,1)) | ~spl6_7), 13.18/13.47 inference(avatar_component_clause,[],[f187])). 13.18/13.47 tff(f189,plain,( 13.18/13.47 ~spl6_7), 13.18/13.47 inference(avatar_split_clause,[],[f95,f187])). 13.18/13.47 tff(f190,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_7), 13.18/13.47 inference(resolution,[],[f188,f129])). 13.18/13.47 tff(f191,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_7), 13.18/13.47 inference(resolution,[],[f188,f130])). 13.18/13.47 tff(f192,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less($sum(sK3,1),0) | ~spl6_7), 13.18/13.47 inference(resolution,[],[f188,f144])). 13.18/13.47 tff(f193,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f192])). 13.18/13.47 tff(f194,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f193])). 13.18/13.47 tff(f195,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f191])). 13.18/13.47 tff(f196,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f195])). 13.18/13.47 tff(f197,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,$uminus(1)) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f190])). 13.18/13.47 tff(f198,plain,( 13.18/13.47 $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1))) | $less(sK3,-1) | ~spl6_7), 13.18/13.47 inference(evaluation,[],[f197])). 13.18/13.47 tff(f200,plain,( 13.18/13.47 spl6_8 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_8])])). 13.18/13.47 tff(f203,plain,( 13.18/13.47 spl6_9 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_9])])). 13.18/13.47 tff(f204,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | ~spl6_9), 13.18/13.47 inference(avatar_component_clause,[],[f203])). 13.18/13.47 tff(f205,plain,( 13.18/13.47 ~spl6_9 | ~spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f161,f150,f203])). 13.18/13.47 tff(f207,plain,( 13.18/13.47 spl6_10 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_10])])). 13.18/13.47 tff(f210,plain,( 13.18/13.47 spl6_11 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_11])])). 13.18/13.47 tff(f211,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | ~spl6_11), 13.18/13.47 inference(avatar_component_clause,[],[f210])). 13.18/13.47 tff(f212,plain,( 13.18/13.47 ~spl6_11 | ~spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f163,f150,f210])). 13.18/13.47 tff(f213,plain,( 13.18/13.47 ( ! [X0:$int] : (is_common_prefix1(sK0,sK1,X0,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK1,X0,sK3),sK3) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f129])). 13.18/13.47 tff(f214,plain,( 13.18/13.47 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK1,sK3) | $less(sK5(sK0,X1,sK1,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f129])). 13.18/13.47 tff(f215,plain,( 13.18/13.47 ( ! [X2:$int] : (is_common_prefix1(sK0,sK1,X2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)) | ~$less(sK5(sK0,sK1,X2,sK3),0) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f130])). 13.18/13.47 tff(f216,plain,( 13.18/13.47 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK1,sK3) | ~$less(sK5(sK0,X3,sK1,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f130])). 13.18/13.47 tff(f217,plain,( 13.18/13.47 ( ! [X4:$int] : (is_common_prefix1(sK0,sK1,X4,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK3))))) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f144])). 13.18/13.47 tff(f218,plain,( 13.18/13.47 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK1,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | $less(sK3,0)) ) | ~spl6_9), 13.18/13.47 inference(resolution,[],[f204,f144])). 13.18/13.47 tff(f220,plain,( 13.18/13.47 ( ! [X0:$int] : (is_common_prefix1(sK0,sK2,X0,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK2,X0,sK3),sK3) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f129])). 13.18/13.47 tff(f221,plain,( 13.18/13.47 ( ! [X1:$int] : (is_common_prefix1(sK0,X1,sK2,sK3) | $less(sK5(sK0,X1,sK2,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f129])). 13.18/13.47 tff(f222,plain,( 13.18/13.47 ( ! [X2:$int] : (is_common_prefix1(sK0,sK2,X2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)) | ~$less(sK5(sK0,sK2,X2,sK3),0) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f130])). 13.18/13.47 tff(f223,plain,( 13.18/13.47 ( ! [X3:$int] : (is_common_prefix1(sK0,X3,sK2,sK3) | ~$less(sK5(sK0,X3,sK2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f130])). 13.18/13.47 tff(f224,plain,( 13.18/13.47 ( ! [X4:$int] : (is_common_prefix1(sK0,sK2,X4,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK3))))) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f144])). 13.18/13.47 tff(f225,plain,( 13.18/13.47 ( ! [X5:$int] : (is_common_prefix1(sK0,X5,sK2,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | $less(sK3,0)) ) | ~spl6_11), 13.18/13.47 inference(resolution,[],[f211,f144])). 13.18/13.47 tff(f239,plain,( 13.18/13.47 spl6_12 <=> $less(sK3,sK4(sK0,sK1,sK2,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_12])])). 13.18/13.47 tff(f240,plain,( 13.18/13.47 $less(sK3,sK4(sK0,sK1,sK2,sK3)) | ~spl6_12), 13.18/13.47 inference(avatar_component_clause,[],[f239])). 13.18/13.47 tff(f241,plain,( 13.18/13.47 spl6_12 | spl6_2 | ~spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f164,f150,f154,f239])). 13.18/13.47 tff(f242,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | $less(sK3,0) | ~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3))) ) | ~spl6_12), 13.18/13.47 inference(resolution,[],[f240,f143])). 13.18/13.47 tff(f256,plain,( 13.18/13.47 spl6_14 <=> is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])). 13.18/13.47 tff(f257,plain,( 13.18/13.47 is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | ~spl6_14), 13.18/13.47 inference(avatar_component_clause,[],[f256])). 13.18/13.47 tff(f258,plain,( 13.18/13.47 spl6_14 | spl6_2 | ~spl6_0), 13.18/13.47 inference(avatar_split_clause,[],[f165,f150,f154,f256])). 13.18/13.47 tff(f259,plain,( 13.18/13.47 ~$less(sK4(sK0,sK1,sK2,sK3),0) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f132])). 13.18/13.47 tff(f260,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK3))) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f133])). 13.18/13.47 tff(f261,plain,( 13.18/13.47 ( ! [X0:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,X0)))) = tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,X0)))) | $less(X0,0) | ~$less(X0,sK4(sK0,sK1,sK2,sK3))) ) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f143])). 13.18/13.47 tff(f262,plain,( 13.18/13.47 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f135])). 13.18/13.47 tff(f263,plain,( 13.18/13.47 is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | $less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f127])). 13.18/13.47 tff(f264,plain,( 13.18/13.47 is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)) | is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_14), 13.18/13.47 inference(resolution,[],[f257,f128])). 13.18/13.47 tff(f269,plain,( 13.18/13.47 spl6_17 <=> ~$less(sK4(sK0,sK1,sK2,sK3),0)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_17])])). 13.18/13.47 tff(f271,plain,( 13.18/13.47 ~spl6_17 | ~spl6_14), 13.18/13.47 inference(avatar_split_clause,[],[f259,f256,f269])). 13.18/13.47 tff(f304,plain,( 13.18/13.47 spl6_19 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK3)))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_19])])). 13.18/13.47 tff(f306,plain,( 13.18/13.47 ~spl6_19 | ~spl6_14), 13.18/13.47 inference(avatar_split_clause,[],[f260,f256,f304])). 13.18/13.47 tff(f311,plain,( 13.18/13.47 spl6_21 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK3)))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_21])])). 13.18/13.47 tff(f313,plain,( 13.18/13.47 ~spl6_21 | ~spl6_14), 13.18/13.47 inference(avatar_split_clause,[],[f262,f256,f311])). 13.18/13.47 tff(f318,plain,( 13.18/13.47 spl6_22 <=> $less(sK3,-1)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])). 13.18/13.47 tff(f324,plain,( 13.18/13.47 spl6_24 <=> $less(length1(int,t2tb1(sK0)),$sum(sK1,$sum(sK3,1)))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])). 13.18/13.47 tff(f327,plain,( 13.18/13.47 spl6_26 <=> $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_26])])). 13.18/13.47 tff(f330,plain,( 13.18/13.47 spl6_27 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0)), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_27])])). 13.18/13.47 tff(f336,plain,( 13.18/13.47 spl6_28 <=> $less(length1(int,t2tb1(sK0)),$sum(sK2,$sum(sK3,1)))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_28])])). 13.18/13.47 tff(f338,plain,( 13.18/13.47 spl6_22 | spl6_24 | ~spl6_27 | spl6_28 | spl6_7), 13.18/13.47 inference(avatar_split_clause,[],[f196,f187,f336,f330,f324,f318])). 13.18/13.47 tff(f351,plain,( 13.18/13.47 spl6_30 <=> $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_30])])). 13.18/13.47 tff(f352,plain,( 13.18/13.47 $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),$sum(sK3,1)) | ~spl6_30), 13.18/13.47 inference(avatar_component_clause,[],[f351])). 13.18/13.47 tff(f353,plain,( 13.18/13.47 spl6_22 | spl6_24 | spl6_30 | spl6_28 | spl6_7), 13.18/13.47 inference(avatar_split_clause,[],[f198,f187,f336,f351,f324,f318])). 13.18/13.47 tff(f354,plain,( 13.18/13.47 ( ! [X2:$int,X0:array_int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~is_common_prefix1(X0,X1,X2,$sum(sK3,1))) ) | ~spl6_30), 13.18/13.47 inference(resolution,[],[f352,f143])). 13.18/13.47 tff(f366,plain,( 13.18/13.47 spl6_33 <=> tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))))))), 13.18/13.47 introduced(avatar_definition,[new_symbols(naming,[spl6_33])])). 13.18/13.47 tff(f367,plain,( 13.18/13.47 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~spl6_33), 13.18/13.48 inference(avatar_component_clause,[],[f366])). 13.18/13.48 tff(f368,plain,( 13.18/13.48 spl6_22 | spl6_24 | ~spl6_33 | spl6_28 | spl6_7), 13.18/13.48 inference(avatar_split_clause,[],[f194,f187,f336,f366,f324,f318])). 13.18/13.48 tff(f376,plain,( 13.18/13.48 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | (~spl6_0 | ~spl6_33)), 13.18/13.48 inference(superposition,[],[f367,f162])). 13.18/13.48 tff(f377,plain,( 13.18/13.48 ( ! [X0:$int,X1:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X0,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X1) | ~is_common_prefix1(sK0,X0,sK2,X1)) ) | ~spl6_33), 13.18/13.48 inference(superposition,[],[f367,f143])). 13.18/13.48 tff(f378,plain,( 13.18/13.48 ( ! [X2:$int,X3:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X3) | ~is_common_prefix1(sK0,sK2,X2,X3)) ) | ~spl6_33), 13.18/13.48 inference(superposition,[],[f367,f143])). 13.18/13.48 tff(f379,plain,( 13.18/13.48 ( ! [X4:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,X4,sK2,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))) ) | ~spl6_33), 13.18/13.48 inference(superposition,[],[f367,f142])). 13.18/13.48 tff(f380,plain,( 13.18/13.48 ( ! [X5:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,sK2,X5,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~$less($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))) ) | ~spl6_33), 13.18/13.48 inference(superposition,[],[f367,f142])). 13.18/13.48 tff(f381,plain,( 13.18/13.48 $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3) | (~spl6_0 | ~spl6_33)), 13.18/13.48 inference(trivial_inequality_removal,[],[f376])). 13.18/13.48 tff(f404,plain,( 13.18/13.48 spl6_35 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_35])])). 13.18/13.48 tff(f406,plain,( 13.18/13.48 ~spl6_35 | spl6_26 | ~spl6_0 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f381,f366,f150,f327,f404])). 13.18/13.48 tff(f413,plain,( 13.18/13.48 spl6_36 <=> is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_36])])). 13.18/13.48 tff(f414,plain,( 13.18/13.48 is_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))) | ~spl6_36), 13.18/13.48 inference(avatar_component_clause,[],[f413])). 13.18/13.48 tff(f419,plain,( 13.18/13.48 spl6_38 <=> is_longest_common_prefix1(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_38])])). 13.18/13.48 tff(f421,plain,( 13.18/13.48 spl6_36 | spl6_38 | ~spl6_14), 13.18/13.48 inference(avatar_split_clause,[],[f264,f256,f419,f413])). 13.18/13.48 tff(f422,plain,( 13.18/13.48 ~$less(sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)),0) | ~spl6_36), 13.18/13.48 inference(resolution,[],[f414,f132])). 13.18/13.48 tff(f423,plain,( 13.18/13.48 ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))) | ~spl6_36), 13.18/13.48 inference(resolution,[],[f414,f133])). 13.18/13.48 tff(f425,plain,( 13.18/13.48 ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))) | ~spl6_36), 13.18/13.48 inference(resolution,[],[f414,f135])). 13.18/13.48 tff(f433,plain,( 13.18/13.48 spl6_41 <=> ~$less(sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)),0)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_41])])). 13.18/13.48 tff(f435,plain,( 13.18/13.48 ~spl6_41 | ~spl6_36), 13.18/13.48 inference(avatar_split_clause,[],[f422,f413,f433])). 13.18/13.48 tff(f445,plain,( 13.18/13.48 spl6_42 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK1,X0,sK3) | $less(sK5(sK0,sK1,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_42])])). 13.18/13.48 tff(f446,plain,( 13.18/13.48 ( ! [X0:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK1,X0,sK3),sK3) | is_common_prefix1(sK0,sK1,X0,sK3)) ) | ~spl6_42), 13.18/13.48 inference(avatar_component_clause,[],[f445])). 13.18/13.48 tff(f447,plain,( 13.18/13.48 spl6_4 | spl6_42 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f213,f203,f445,f169])). 13.18/13.48 tff(f452,plain,( 13.18/13.48 spl6_45 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK1,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_45])])). 13.18/13.48 tff(f454,plain,( 13.18/13.48 ~spl6_45 | ~spl6_36), 13.18/13.48 inference(avatar_split_clause,[],[f423,f413,f452])). 13.18/13.48 tff(f455,plain,( 13.18/13.48 $less(sK5(sK0,sK1,sK1,sK3),sK3) | is_common_prefix1(sK0,sK1,sK1,sK3) | (~spl6_9 | ~spl6_42)), 13.18/13.48 inference(resolution,[],[f446,f204])). 13.18/13.48 tff(f461,plain,( 13.18/13.48 spl6_47 <=> ~is_common_prefix1(sK0,sK1,sK1,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_47])])). 13.18/13.48 tff(f462,plain,( 13.18/13.48 ~is_common_prefix1(sK0,sK1,sK1,sK3) | ~spl6_47), 13.18/13.48 inference(avatar_component_clause,[],[f461])). 13.18/13.48 tff(f464,plain,( 13.18/13.48 spl6_46 <=> is_common_prefix1(sK0,sK1,sK1,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_46])])). 13.18/13.48 tff(f465,plain,( 13.18/13.48 is_common_prefix1(sK0,sK1,sK1,sK3) | ~spl6_46), 13.18/13.48 inference(avatar_component_clause,[],[f464])). 13.18/13.48 tff(f470,plain,( 13.18/13.48 spl6_48 <=> $less(sK5(sK0,sK1,sK1,sK3),sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_48])])). 13.18/13.48 tff(f472,plain,( 13.18/13.48 spl6_46 | spl6_48 | spl6_9 | ~spl6_42), 13.18/13.48 inference(avatar_split_clause,[],[f455,f445,f203,f470,f464])). 13.18/13.48 tff(f477,plain,( 13.18/13.48 is_longest_common_prefix1(sK0,sK1,sK1,sK3) | $less(sK3,sK4(sK0,sK1,sK1,sK3)) | ~spl6_46), 13.18/13.48 inference(resolution,[],[f465,f127])). 13.18/13.48 tff(f478,plain,( 13.18/13.48 is_longest_common_prefix1(sK0,sK1,sK1,sK3) | is_common_prefix1(sK0,sK1,sK1,sK4(sK0,sK1,sK1,sK3)) | ~spl6_46), 13.18/13.48 inference(resolution,[],[f465,f128])). 13.18/13.48 tff(f480,plain,( 13.18/13.48 spl6_50 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK1,sK3),sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_50])])). 13.18/13.48 tff(f481,plain,( 13.18/13.48 ( ! [X1:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | is_common_prefix1(sK0,X1,sK1,sK3) | $less(sK5(sK0,X1,sK1,sK3),sK3)) ) | ~spl6_50), 13.18/13.48 inference(avatar_component_clause,[],[f480])). 13.18/13.48 tff(f482,plain,( 13.18/13.48 spl6_4 | spl6_50 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f214,f203,f480,f169])). 13.18/13.48 tff(f487,plain,( 13.18/13.48 spl6_52 <=> $less(sK3,sK4(sK0,sK1,sK1,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_52])])). 13.18/13.48 tff(f493,plain,( 13.18/13.48 spl6_54 <=> is_longest_common_prefix1(sK0,sK1,sK1,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_54])])). 13.18/13.48 tff(f495,plain,( 13.18/13.48 spl6_52 | spl6_54 | ~spl6_46), 13.18/13.48 inference(avatar_split_clause,[],[f477,f464,f493,f487])). 13.18/13.48 tff(f497,plain,( 13.18/13.48 is_common_prefix1(sK0,sK2,sK1,sK3) | $less(sK5(sK0,sK2,sK1,sK3),sK3) | (~spl6_11 | ~spl6_50)), 13.18/13.48 inference(resolution,[],[f481,f211])). 13.18/13.48 tff(f503,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK1,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | $less(sK3,0) | ~spl6_47), 13.18/13.48 inference(resolution,[],[f462,f144])). 13.18/13.48 tff(f504,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK1,sK3))))) | $less(sK3,0) | ~spl6_47), 13.18/13.48 inference(duplicate_literal_removal,[],[f503])). 13.18/13.48 tff(f505,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK1,sK3)) | $less(sK3,0) | ~spl6_47), 13.18/13.48 inference(trivial_inequality_removal,[],[f504])). 13.18/13.48 tff(f510,plain,( 13.18/13.48 spl6_56 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK1,X2,sK3) | ~$less(sK5(sK0,sK1,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_56])])). 13.18/13.48 tff(f512,plain,( 13.18/13.48 spl6_4 | spl6_56 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f215,f203,f510,f169])). 13.18/13.48 tff(f513,plain,( 13.18/13.48 spl6_4 | spl6_8 | spl6_47), 13.18/13.48 inference(avatar_split_clause,[],[f505,f461,f200,f169])). 13.18/13.48 tff(f527,plain,( 13.18/13.48 spl6_58 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK1,sK3),0))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_58])])). 13.18/13.48 tff(f528,plain,( 13.18/13.48 ( ! [X3:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | is_common_prefix1(sK0,X3,sK1,sK3) | ~$less(sK5(sK0,X3,sK1,sK3),0)) ) | ~spl6_58), 13.18/13.48 inference(avatar_component_clause,[],[f527])). 13.18/13.48 tff(f529,plain,( 13.18/13.48 spl6_4 | spl6_58 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f216,f203,f527,f169])). 13.18/13.48 tff(f531,plain,( 13.18/13.48 is_common_prefix1(sK0,sK2,sK1,sK3) | ~$less(sK5(sK0,sK2,sK1,sK3),0) | (~spl6_11 | ~spl6_58)), 13.18/13.48 inference(resolution,[],[f528,f211])). 13.18/13.48 tff(f539,plain,( 13.18/13.48 spl6_60 <=> $less(sK5(sK0,sK2,sK1,sK3),sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_60])])). 13.18/13.48 tff(f545,plain,( 13.18/13.48 spl6_62 <=> is_common_prefix1(sK0,sK2,sK1,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_62])])). 13.18/13.48 tff(f547,plain,( 13.18/13.48 spl6_60 | spl6_62 | spl6_11 | ~spl6_50), 13.18/13.48 inference(avatar_split_clause,[],[f497,f480,f210,f545,f539])). 13.18/13.48 tff(f550,plain,( 13.18/13.48 spl6_64 <=> ! [X0 : $int] : (is_common_prefix1(sK0,sK2,X0,sK3) | $less(sK5(sK0,sK2,X0,sK3),sK3) | $less(length1(int,t2tb1(sK0)),$sum(X0,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_64])])). 13.18/13.48 tff(f551,plain,( 13.18/13.48 ( ! [X0:$int] : ($less(length1(int,t2tb1(sK0)),$sum(X0,sK3)) | $less(sK5(sK0,sK2,X0,sK3),sK3) | is_common_prefix1(sK0,sK2,X0,sK3)) ) | ~spl6_64), 13.18/13.48 inference(avatar_component_clause,[],[f550])). 13.18/13.48 tff(f552,plain,( 13.18/13.48 spl6_4 | spl6_64 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f220,f210,f550,f169])). 13.18/13.48 tff(f554,plain,( 13.18/13.48 $less(sK5(sK0,sK2,sK2,sK3),sK3) | is_common_prefix1(sK0,sK2,sK2,sK3) | (~spl6_11 | ~spl6_64)), 13.18/13.48 inference(resolution,[],[f551,f211])). 13.18/13.48 tff(f562,plain,( 13.18/13.48 spl6_67 <=> ~$less(sK5(sK0,sK2,sK1,sK3),0)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_67])])). 13.18/13.48 tff(f564,plain,( 13.18/13.48 ~spl6_67 | spl6_62 | spl6_11 | ~spl6_58), 13.18/13.48 inference(avatar_split_clause,[],[f531,f527,f210,f545,f562])). 13.18/13.48 tff(f574,plain,( 13.18/13.48 spl6_68 <=> ! [X1 : $int] : (is_common_prefix1(sK0,X1,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X1,sK3)) | $less(sK5(sK0,X1,sK2,sK3),sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_68])])). 13.18/13.48 tff(f576,plain,( 13.18/13.48 spl6_4 | spl6_68 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f221,f210,f574,f169])). 13.18/13.48 tff(f578,plain,( 13.18/13.48 spl6_71 <=> ~is_common_prefix1(sK0,sK2,sK2,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_71])])). 13.18/13.48 tff(f579,plain,( 13.18/13.48 ~is_common_prefix1(sK0,sK2,sK2,sK3) | ~spl6_71), 13.18/13.48 inference(avatar_component_clause,[],[f578])). 13.18/13.48 tff(f581,plain,( 13.18/13.48 spl6_70 <=> is_common_prefix1(sK0,sK2,sK2,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_70])])). 13.18/13.48 tff(f582,plain,( 13.18/13.48 is_common_prefix1(sK0,sK2,sK2,sK3) | ~spl6_70), 13.18/13.48 inference(avatar_component_clause,[],[f581])). 13.18/13.48 tff(f587,plain,( 13.18/13.48 spl6_72 <=> $less(sK5(sK0,sK2,sK2,sK3),sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_72])])). 13.18/13.48 tff(f589,plain,( 13.18/13.48 spl6_70 | spl6_72 | spl6_11 | ~spl6_64), 13.18/13.48 inference(avatar_split_clause,[],[f554,f550,f210,f587,f581])). 13.18/13.48 tff(f599,plain,( 13.18/13.48 is_longest_common_prefix1(sK0,sK2,sK2,sK3) | $less(sK3,sK4(sK0,sK2,sK2,sK3)) | ~spl6_70), 13.18/13.48 inference(resolution,[],[f582,f127])). 13.18/13.48 tff(f600,plain,( 13.18/13.48 is_longest_common_prefix1(sK0,sK2,sK2,sK3) | is_common_prefix1(sK0,sK2,sK2,sK4(sK0,sK2,sK2,sK3)) | ~spl6_70), 13.18/13.48 inference(resolution,[],[f582,f128])). 13.18/13.48 tff(f602,plain,( 13.18/13.48 spl6_74 <=> ! [X2 : $int] : (is_common_prefix1(sK0,sK2,X2,sK3) | ~$less(sK5(sK0,sK2,X2,sK3),0) | $less(length1(int,t2tb1(sK0)),$sum(X2,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_74])])). 13.18/13.48 tff(f604,plain,( 13.18/13.48 spl6_4 | spl6_74 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f222,f210,f602,f169])). 13.18/13.48 tff(f619,plain,( 13.18/13.48 spl6_76 <=> ! [X3 : $int] : (is_common_prefix1(sK0,X3,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X3,sK3)) | ~$less(sK5(sK0,X3,sK2,sK3),0))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_76])])). 13.18/13.48 tff(f621,plain,( 13.18/13.48 spl6_4 | spl6_76 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f223,f210,f619,f169])). 13.18/13.48 tff(f626,plain,( 13.18/13.48 spl6_78 <=> $less(sK3,sK4(sK0,sK2,sK2,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_78])])). 13.18/13.48 tff(f632,plain,( 13.18/13.48 spl6_80 <=> is_longest_common_prefix1(sK0,sK2,sK2,sK3)), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_80])])). 13.18/13.48 tff(f634,plain,( 13.18/13.48 spl6_78 | spl6_80 | ~spl6_70), 13.18/13.48 inference(avatar_split_clause,[],[f599,f581,f632,f626])). 13.18/13.48 tff(f642,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,sK2,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | $less(sK3,0) | ~spl6_71), 13.18/13.48 inference(resolution,[],[f579,f144])). 13.18/13.48 tff(f643,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,sK2,sK3))))) | $less(sK3,0) | ~spl6_71), 13.18/13.48 inference(duplicate_literal_removal,[],[f642])). 13.18/13.48 tff(f644,plain,( 13.18/13.48 $less(length1(int,t2tb1(sK0)),$sum(sK2,sK3)) | $less(sK3,0) | ~spl6_71), 13.18/13.48 inference(trivial_inequality_removal,[],[f643])). 13.18/13.48 tff(f652,plain,( 13.18/13.48 spl6_82 <=> $less(sK4(sK0,sK1,sK2,sK3),sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_82])])). 13.18/13.48 tff(f654,plain,( 13.18/13.48 spl6_82 | spl6_38 | ~spl6_14), 13.18/13.48 inference(avatar_split_clause,[],[f263,f256,f419,f652])). 13.18/13.48 tff(f663,plain,( 13.18/13.48 spl6_4 | spl6_10 | spl6_71), 13.18/13.48 inference(avatar_split_clause,[],[f644,f578,f207,f169])). 13.18/13.48 tff(f730,plain,( 13.18/13.48 tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK4(sK0,sK1,sK2,sK3)) | (~spl6_14 | ~spl6_33)), 13.18/13.48 inference(superposition,[],[f367,f261])). 13.18/13.48 tff(f744,plain,( 13.18/13.48 $less(sK5(sK0,sK1,sK2,$sum(sK3,1)),0) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK4(sK0,sK1,sK2,sK3)) | (~spl6_14 | ~spl6_33)), 13.18/13.48 inference(trivial_inequality_removal,[],[f730])). 13.18/13.48 tff(f751,plain,( 13.18/13.48 spl6_84 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK3)))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK3)))) | ~is_common_prefix1(X0,X1,X2,sK4(sK0,sK1,sK2,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_84])])). 13.18/13.48 tff(f753,plain,( 13.18/13.48 spl6_4 | spl6_84 | ~spl6_12), 13.18/13.48 inference(avatar_split_clause,[],[f242,f239,f751,f169])). 13.18/13.48 tff(f758,plain,( 13.18/13.48 spl6_86 <=> is_common_prefix1(sK0,sK1,sK1,sK4(sK0,sK1,sK1,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_86])])). 13.18/13.48 tff(f760,plain,( 13.18/13.48 spl6_86 | spl6_54 | ~spl6_46), 13.18/13.48 inference(avatar_split_clause,[],[f478,f464,f493,f758])). 13.18/13.48 tff(f868,plain,( 13.18/13.48 spl6_88 <=> is_common_prefix1(sK0,sK2,sK2,sK4(sK0,sK2,sK2,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_88])])). 13.18/13.48 tff(f870,plain,( 13.18/13.48 spl6_88 | spl6_80 | ~spl6_70), 13.18/13.48 inference(avatar_split_clause,[],[f600,f581,f632,f868])). 13.18/13.48 tff(f939,plain,( 13.18/13.48 spl6_91 <=> ~$less(length1(int,t2tb1(sK0)),$sum(sK2,sK4(sK0,sK1,sK2,sK4(sK0,sK1,sK2,sK3))))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_91])])). 13.18/13.48 tff(f941,plain,( 13.18/13.48 ~spl6_91 | ~spl6_36), 13.18/13.48 inference(avatar_split_clause,[],[f425,f413,f939])). 13.18/13.48 tff(f1046,plain,( 13.18/13.48 spl6_92 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK1,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_92])])). 13.18/13.48 tff(f1048,plain,( 13.18/13.48 spl6_4 | spl6_92 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f217,f203,f1046,f169])). 13.18/13.48 tff(f1078,plain,( 13.18/13.48 spl6_94 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK1,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,X5,sK1,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK1,sK3))))))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_94])])). 13.18/13.48 tff(f1080,plain,( 13.18/13.48 spl6_4 | spl6_94 | spl6_9), 13.18/13.48 inference(avatar_split_clause,[],[f218,f203,f1078,f169])). 13.18/13.48 tff(f1110,plain,( 13.18/13.48 spl6_96 <=> ! [X4 : $int] : (is_common_prefix1(sK0,sK2,X4,sK3) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,sK2,X4,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK2,X4,sK3))))) | $less(length1(int,t2tb1(sK0)),$sum(X4,sK3)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_96])])). 13.18/13.48 tff(f1112,plain,( 13.18/13.48 spl6_4 | spl6_96 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f224,f210,f1110,f169])). 13.18/13.48 tff(f1160,plain,( 13.18/13.48 spl6_98 <=> ! [X5 : $int] : (is_common_prefix1(sK0,X5,sK2,sK3) | $less(length1(int,t2tb1(sK0)),$sum(X5,sK3)) | tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK2,sK5(sK0,X5,sK2,sK3))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,X5,sK2,sK3))))))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_98])])). 13.18/13.48 tff(f1162,plain,( 13.18/13.48 spl6_4 | spl6_98 | spl6_11), 13.18/13.48 inference(avatar_split_clause,[],[f225,f210,f1160,f169])). 13.18/13.48 tff(f1271,plain,( 13.18/13.48 spl6_100 <=> ! [X1 : $int,X0 : array_int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) = tb2t(get(int,int,elts(int,t2tb1(X0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(X0,X1,X2,$sum(sK3,1)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_100])])). 13.18/13.48 tff(f1273,plain,( 13.18/13.48 spl6_26 | spl6_100 | ~spl6_30), 13.18/13.48 inference(avatar_split_clause,[],[f354,f351,f1271,f327])). 13.18/13.48 tff(f1698,plain,( 13.18/13.48 spl6_102 <=> ! [X1 : $int,X0 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X0,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,X0,sK2,X1) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X1))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_102])])). 13.18/13.48 tff(f1700,plain,( 13.18/13.48 spl6_26 | spl6_102 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f377,f366,f1698,f327])). 13.18/13.48 tff(f1757,plain,( 13.18/13.48 spl6_104 <=> ! [X3 : $int,X2 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,sK2,X2,X3) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_104])])). 13.18/13.48 tff(f1758,plain,( 13.18/13.48 ( ! [X2:$int,X3:$int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X2,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~is_common_prefix1(sK0,sK2,X2,X3) | ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X3)) ) | ~spl6_104), 13.18/13.48 inference(avatar_component_clause,[],[f1757])). 13.18/13.48 tff(f1759,plain,( 13.18/13.48 spl6_26 | spl6_104 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f378,f366,f1757,f327])). 13.18/13.48 tff(f1800,plain,( 13.18/13.48 ( ! [X0:$int] : (~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),X0) | ~is_common_prefix1(sK0,sK2,sK1,X0)) ) | ~spl6_104), 13.18/13.48 inference(equality_resolution,[],[f1758])). 13.18/13.48 tff(f1813,plain,( 13.18/13.48 ~is_common_prefix1(sK0,sK2,sK1,$sum(sK3,1)) | (~spl6_30 | ~spl6_104)), 13.18/13.48 inference(resolution,[],[f1800,f352])). 13.18/13.48 tff(f1886,plain,( 13.18/13.48 spl6_107 <=> ~is_common_prefix1(sK0,sK2,sK1,$sum(sK3,1))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_107])])). 13.18/13.48 tff(f1888,plain,( 13.18/13.48 ~spl6_107 | ~spl6_30 | ~spl6_104), 13.18/13.48 inference(avatar_split_clause,[],[f1813,f1757,f351,f1886])). 13.18/13.48 tff(f2166,plain,( 13.18/13.48 spl6_109 <=> ~$less($sum(sK2,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_109])])). 13.18/13.48 tff(f2169,plain,( 13.18/13.48 spl6_110 <=> ! [X4 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less($sum(X4,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~is_common_prefix1(sK0,X4,sK2,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_110])])). 13.18/13.48 tff(f2171,plain,( 13.18/13.48 ~spl6_109 | spl6_26 | spl6_110 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f379,f366,f2169,f327,f2166])). 13.18/13.48 tff(f2236,plain,( 13.18/13.48 spl6_112 <=> ! [X5 : $int] : (tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(sK1,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) != tb2t(get(int,int,elts(int,t2tb1(sK0)),t2tb($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1)))))) | ~$less($sum(X5,sK5(sK0,sK1,sK2,$sum(sK3,1))),length1(int,t2tb1(sK0))) | ~is_common_prefix1(sK0,sK2,X5,$sum(sK5(sK0,sK1,sK2,$sum(sK3,1)),1)))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_112])])). 13.18/13.48 tff(f2238,plain,( 13.18/13.48 ~spl6_109 | spl6_26 | spl6_112 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f380,f366,f2236,f327,f2166])). 13.18/13.48 tff(f2243,plain,( 13.18/13.48 spl6_115 <=> ~$less(sK5(sK0,sK1,sK2,$sum(sK3,1)),sK4(sK0,sK1,sK2,sK3))), 13.18/13.48 introduced(avatar_definition,[new_symbols(naming,[spl6_115])])). 13.18/13.48 tff(f2245,plain,( 13.18/13.48 ~spl6_115 | spl6_26 | ~spl6_14 | spl6_33), 13.18/13.48 inference(avatar_split_clause,[],[f744,f366,f256,f327,f2243])). 13.18/13.48 tff(f2246,plain,( 13.18/13.48 $false), 13.18/13.48 inference(avatar_sat_refutation,[],[f152,f159,f174,f189,f205,f212,f241,f258,f271,f306,f313,f338,f353,f368,f406,f421,f435,f447,f454,f472,f482,f495,f512,f513,f529,f547,f552,f564,f576,f589,f604,f621,f634,f654,f663,f753,f760,f870,f941,f1048,f1080,f1112,f1162,f1273,f1700,f1759,f1888,f2171,f2238,f2245])). 13.18/13.48 % SZS output end Proof for theBenchmark 13.18/13.48 % ------------------------------ 13.18/13.48 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.18/13.48 % Termination reason: Refutation 13.18/13.48 13.18/13.48 % Memory used [KB]: 7164 13.18/13.48 % Time elapsed: 0.124 s 13.18/13.48 % ------------------------------ 13.18/13.48 % ------------------------------ 13.18/13.48 % Success in time 13.239 s 13.18/13.48 EOF