0.11/0.22	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.22	% Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
0.11/0.43	% Computer : n027.cluster.edu
0.11/0.43	% Model    : x86_64 x86_64
0.11/0.43	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.43	% Memory   : 8042.1875MB
0.11/0.43	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.43	% CPULimit   : 300
0.11/0.43	% WCLimit    : 300
0.11/0.43	% DateTime   : Fri Jul  5 04:21:39 EDT 2024
0.11/0.43	% CPUTime    : 
0.11/0.45	This is a TFF_ problem
0.11/0.45	Running vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
0.11/0.46	% (6946)Running in auto input_syntax mode. Trying TPTP
0.21/0.49	% (6950)dis-10_20_canc=force:fsd=off:gs=on:gsem=off:nm=0:sas=z3:sac=on:tha=off:thi=strong:tgt=ground_476 on theBenchmark for (476ds/0Mi)
0.21/0.52	% (6949)dis-1010_2:3_canc=force:fsd=off:fde=unused:gs=on:gsem=on:nm=0:nwc=1.3:sas=z3:tha=off:thf=on:uwa=ground_572 on theBenchmark for (572ds/0Mi)
0.21/0.52	% (6948)lrs+2_32_add=large:amm=off:bd=off:bs=unit_only:drc=off:flr=on:fsd=off:fde=none:nm=0:nwc=1.1:sos=theory:sp=reverse_arity:tgt=ground:stl=180_1034 on theBenchmark for (1034ds/0Mi)
0.21/0.52	% (6951)dis-11_10:1_canc=force:fsd=off:nwc=1.5:sas=z3:tha=off:uwa=all_472 on theBenchmark for (472ds/0Mi)
0.21/0.52	% (6952)lrs+1010_2:1_amm=off:bs=on:bsr=on:canc=force:fsd=off:fsr=off:gs=on:gsaa=full_model:gsem=on:nm=0:nwc=1.3:sas=z3:sac=on:tha=off:thi=overlap:tgt=ground:uwa=ground:stl=60_408 on theBenchmark for (408ds/0Mi)
0.21/0.52	% (6953)ott+10_1024_av=off:bd=preordered:br=off:ep=RSTC:fsr=off:fde=none:nm=2:urr=on_318 on theBenchmark for (318ds/0Mi)
0.21/0.52	% (6954)lrs-1010_3_av=off:br=off:drc=off:er=known:fsd=off:fde=unused:nm=4:nwc=3.0:sp=scramble:urr=on:stl=180_280 on theBenchmark for (280ds/0Mi)
1.88/0.74	% (6952)First to succeed.
1.88/0.76	% (6952)Refutation found. Thanks to Tanya!
1.88/0.76	% SZS status Theorem for theBenchmark
1.88/0.76	% SZS output start Proof for theBenchmark
1.88/0.76	tff(type_def_5, type, uni: $tType).
1.88/0.76	tff(type_def_6, type, ty: $tType).
1.88/0.76	tff(type_def_7, type, bool1: $tType).
1.88/0.76	tff(type_def_8, type, tuple02: $tType).
1.88/0.76	tff(type_def_9, type, list_int: $tType).
1.88/0.76	tff(type_def_10, type, option_int: $tType).
1.88/0.76	tff(func_def_0, type, witness1: ty > uni).
1.88/0.76	tff(func_def_1, type, int: ty).
1.88/0.76	tff(func_def_2, type, real: ty).
1.88/0.76	tff(func_def_3, type, bool: ty).
1.88/0.76	tff(func_def_4, type, true1: bool1).
1.88/0.76	tff(func_def_5, type, false1: bool1).
1.88/0.76	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
1.88/0.76	tff(func_def_7, type, tuple0: ty).
1.88/0.76	tff(func_def_8, type, tuple03: tuple02).
1.88/0.76	tff(func_def_9, type, qtmark: ty).
1.88/0.76	tff(func_def_10, type, list: ty > ty).
1.88/0.76	tff(func_def_11, type, nil: ty > uni).
1.88/0.76	tff(func_def_12, type, cons: (ty * uni * uni) > uni).
1.88/0.76	tff(func_def_13, type, match_list1: (ty * ty * uni * uni * uni) > uni).
1.88/0.76	tff(func_def_14, type, cons_proj_11: (ty * uni) > uni).
1.88/0.76	tff(func_def_15, type, cons_proj_21: (ty * uni) > uni).
1.88/0.76	tff(func_def_16, type, length1: (ty * uni) > $int).
1.88/0.76	tff(func_def_17, type, option: ty > ty).
1.88/0.76	tff(func_def_18, type, none: ty > uni).
1.88/0.76	tff(func_def_19, type, some: (ty * uni) > uni).
1.88/0.76	tff(func_def_20, type, match_option1: (ty * ty * uni * uni * uni) > uni).
1.88/0.76	tff(func_def_21, type, some_proj_11: (ty * uni) > uni).
1.88/0.76	tff(func_def_22, type, nth1: (ty * $int * uni) > uni).
1.88/0.76	tff(func_def_23, type, t2tb: option_int > uni).
1.88/0.76	tff(func_def_24, type, tb2t: uni > option_int).
1.88/0.76	tff(func_def_25, type, t2tb1: list_int > uni).
1.88/0.76	tff(func_def_26, type, tb2t1: uni > list_int).
1.88/0.76	tff(func_def_27, type, t2tb2: $int > uni).
1.88/0.76	tff(func_def_28, type, tb2t2: uni > $int).
1.88/0.76	tff(func_def_29, type, ref: ty > ty).
1.88/0.76	tff(func_def_30, type, mk_ref: (ty * uni) > uni).
1.88/0.76	tff(func_def_31, type, contents: (ty * uni) > uni).
1.88/0.76	tff(func_def_32, type, hd: (ty * uni) > uni).
1.88/0.76	tff(func_def_33, type, tl: (ty * uni) > uni).
1.88/0.76	tff(func_def_40, type, sK0: list_int).
1.88/0.76	tff(func_def_41, type, sK1: list_int).
1.88/0.76	tff(func_def_42, type, sK2: $int).
1.88/0.76	tff(func_def_43, type, sK3: $int).
1.88/0.76	tff(func_def_44, type, sK4: $int).
1.88/0.76	tff(func_def_45, type, sK5: list_int).
1.88/0.76	tff(func_def_46, type, sK6: list_int > $int).
1.88/0.76	tff(func_def_47, type, sK7: (list_int * $int) > $int).
1.88/0.76	tff(func_def_48, type, sF8: uni).
1.88/0.76	tff(func_def_49, type, sF9: $int).
1.88/0.76	tff(func_def_50, type, sF10: uni).
1.88/0.76	tff(func_def_51, type, sF11: uni).
1.88/0.76	tff(func_def_52, type, sF12: uni).
1.88/0.76	tff(func_def_53, type, sF13: list_int).
1.88/0.76	tff(func_def_54, type, sF14: uni).
1.88/0.76	tff(func_def_55, type, sF15: list_int).
1.88/0.76	tff(func_def_56, type, sF16: uni).
1.88/0.76	tff(func_def_57, type, sF17: uni).
1.88/0.76	tff(func_def_58, type, sF18: uni).
1.88/0.76	tff(func_def_59, type, sF19: option_int).
1.88/0.76	tff(func_def_60, type, sF20: $int).
1.88/0.76	tff(func_def_61, type, sF21: $int).
1.88/0.76	tff(func_def_68, type, '$inst23': $int).
1.88/0.76	tff(func_def_69, type, '$inst24': $int).
1.88/0.76	tff(func_def_70, type, '$inst25': $int).
1.88/0.76	tff(pred_def_1, type, sort1: (ty * uni) > $o).
1.88/0.76	tff(pred_def_2, type, zero_at1: (list_int * $int) > $o).
1.88/0.76	tff(pred_def_3, type, no_zero1: list_int > $o).
1.88/0.76	tff(f2025,plain,(
1.88/0.76	  $false),
1.88/0.76	  inference(avatar_smt_refutation,[],[f266,f271,f276,f281,f286,f291,f300,f307,f312,f321,f327,f332,f338,f343,f348,f353,f358,f363,f368,f377,f386,f408,f413,f419,f428,f434,f449,f454,f468,f473,f488,f497,f510,f515,f522,f528,f535,f563,f575,f588,f652,f664,f687,f704,f709,f715,f721,f726,f735,f755,f760,f769,f806,f812,f817,f819,f852,f880,f885,f890,f919,f943,f948,f956,f1032,f1079,f1106,f1137,f1234,f1324,f1347,f1365,f1516,f1527,f1542,f1549,f1573,f1686,f1698,f1704,f1735,f1741,f1750,f1757,f1773,f1788,f1795,f1803,f1811,f1837,f1878,f1880,f1963,f1972,f1978,f1981,f1983,f1986,f1988,f1990,f1992,f1994,f1996,f1998,f2002,f2004,f2006,f2008,f2010,f2012,f2014,f2016,f2018,f2020,f2022,f2024])).
1.88/0.76	tff(f2024,plain,(
1.88/0.76	  ~spl22_10 | ~spl22_31 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2023])).
1.88/0.76	tff(f2023,plain,(
1.88/0.76	  $false | (~spl22_10 | ~spl22_31 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f729,f750,f467])).
1.88/0.76	tff(f467,plain,(
1.88/0.76	  0 = sF20 | ~spl22_31),
1.88/0.76	  inference(avatar_component_clause,[],[f465])).
1.88/0.76	tff(f465,plain,(
1.88/0.76	  spl22_31 <=> 0 = sF20),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_31])])).
1.88/0.76	tff(f750,plain,(
1.88/0.76	  0 != sF20 | no_zero1(sK1) | ~spl22_51),
1.88/0.76	  inference(constrained_resolution,[],[f734,f169])).
1.88/0.76	tff(f169,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (~$less(sK6(X0),0) | no_zero1(X0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f132])).
1.88/0.76	tff(f132,plain,(
1.88/0.76	  ! [X0 : list_int] : (no_zero1(X0) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & ~$less(sK6(X0),0) & $less(sK6(X0),length1(int,t2tb1(X0)))))),
1.88/0.76	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f108,f131])).
1.88/0.76	tff(f131,plain,(
1.88/0.76	  ! [X0 : list_int] : (? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ~$less(X1,0) & $less(X1,length1(int,t2tb1(X0)))) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0))) & ~$less(sK6(X0),0) & $less(sK6(X0),length1(int,t2tb1(X0)))))),
1.88/0.76	  introduced(choice_axiom,[])).
1.88/0.76	tff(f108,plain,(
1.88/0.76	  ! [X0 : list_int] : (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & ~$less(X1,0) & $less(X1,length1(int,t2tb1(X0)))))),
1.88/0.76	  inference(flattening,[],[f107])).
1.88/0.76	tff(f107,plain,(
1.88/0.76	  ! [X0 : list_int] : (no_zero1(X0) | ? [X1 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0))) & (~$less(X1,0) & $less(X1,length1(int,t2tb1(X0))))))),
1.88/0.76	  inference(ennf_transformation,[],[f103])).
1.88/0.76	tff(f103,plain,(
1.88/0.76	  ! [X0 : list_int] : (! [X1 : $int] : ((~$less(X1,0) & $less(X1,length1(int,t2tb1(X0)))) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) => no_zero1(X0))),
1.88/0.76	  inference(unused_predicate_definition_removal,[],[f76])).
1.88/0.76	tff(f76,plain,(
1.88/0.76	  ! [X0 : list_int] : (no_zero1(X0) <=> ! [X1 : $int] : ((~$less(X1,0) & $less(X1,length1(int,t2tb1(X0)))) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))))),
1.88/0.76	  inference(rectify,[],[f56])).
1.88/0.76	tff(f56,plain,(
1.88/0.76	  ! [X11 : list_int] : (no_zero1(X11) <=> ! [X9 : $int] : ((~$less(X9,0) & $less(X9,length1(int,t2tb1(X11)))) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))))),
1.88/0.76	  inference(theory_normalization,[],[f11])).
1.88/0.76	tff(f11,axiom,(
1.88/0.76	  ! [X11 : list_int] : (no_zero1(X11) <=> ! [X9 : $int] : (($lesseq(0,X9) & $less(X9,length1(int,t2tb1(X11)))) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_zero_def)).
1.88/0.76	tff(f734,plain,(
1.88/0.76	  $less(sK6(sK1),sF20) | ~spl22_51),
1.88/0.76	  inference(avatar_component_clause,[],[f732])).
1.88/0.76	tff(f732,plain,(
1.88/0.76	  spl22_51 <=> $less(sK6(sK1),sF20)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_51])])).
1.88/0.76	tff(f729,plain,(
1.88/0.76	  ~no_zero1(sK1) | spl22_50),
1.88/0.76	  inference(avatar_component_clause,[],[f728])).
1.88/0.76	tff(f728,plain,(
1.88/0.76	  spl22_50 <=> no_zero1(sK1)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_50])])).
1.88/0.76	tff(f2022,plain,(
1.88/0.76	  spl22_22 | ~spl22_31 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2021])).
1.88/0.76	tff(f2021,plain,(
1.88/0.76	  $false | (spl22_22 | ~spl22_31 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f729,f750,f467])).
1.88/0.76	tff(f2020,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2019])).
1.88/0.76	tff(f2019,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f729,f750,f467])).
1.88/0.76	tff(f2018,plain,(
1.88/0.76	  ~spl22_31 | ~spl22_32 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2017])).
1.88/0.76	tff(f2017,plain,(
1.88/0.76	  $false | (~spl22_31 | ~spl22_32 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2016,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | spl22_70),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2015])).
1.88/0.76	tff(f2015,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | spl22_70)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2014,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_77),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2013])).
1.88/0.76	tff(f2013,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_77)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2012,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_78),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2011])).
1.88/0.76	tff(f2011,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_78)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2010,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | spl22_90),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2009])).
1.88/0.76	tff(f2009,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | spl22_90)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2008,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_96),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2007])).
1.88/0.76	tff(f2007,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_96)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2006,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_97),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2005])).
1.88/0.76	tff(f2005,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_97)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2004,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_52),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2003])).
1.88/0.76	tff(f2003,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51 | ~spl22_52)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f2002,plain,(
1.88/0.76	  ~spl22_20 | ~spl22_31 | ~spl22_36 | ~spl22_37 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f2001])).
1.88/0.76	tff(f2001,plain,(
1.88/0.76	  $false | (~spl22_20 | ~spl22_31 | ~spl22_36 | ~spl22_37 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f1998,plain,(
1.88/0.76	  ~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1997])).
1.88/0.76	tff(f1997,plain,(
1.88/0.76	  $false | (~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f1996,plain,(
1.88/0.76	  ~spl22_31 | spl22_50 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1995])).
1.88/0.76	tff(f1995,plain,(
1.88/0.76	  $false | (~spl22_31 | spl22_50 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f750])).
1.88/0.76	tff(f1994,plain,(
1.88/0.76	  ~spl22_26 | ~spl22_31 | spl22_40 | ~spl22_51),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1993])).
1.88/0.76	tff(f1993,plain,(
1.88/0.76	  $false | (~spl22_26 | ~spl22_31 | spl22_40 | ~spl22_51)),
1.88/0.76	  inference(global_subsumption,[],[f467,f562,f902])).
1.88/0.76	tff(f902,plain,(
1.88/0.76	  0 != sF20 | nil(int) = sF12 | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f189,f412])).
1.88/0.76	tff(f412,plain,(
1.88/0.76	  sF20 = length1(int,sF12) | ~spl22_26),
1.88/0.76	  inference(avatar_component_clause,[],[f410])).
1.88/0.76	tff(f410,plain,(
1.88/0.76	  spl22_26 <=> sF20 = length1(int,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_26])])).
1.88/0.76	tff(f189,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (0 != length1(X0,X1) | nil(X0) = X1) )),
1.88/0.76	  inference(cnf_transformation,[],[f133])).
1.88/0.76	tff(f133,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : ((0 = length1(X0,X1) | nil(X0) != X1) & (nil(X0) = X1 | 0 != length1(X0,X1)))),
1.88/0.76	  inference(nnf_transformation,[],[f88])).
1.88/0.76	tff(f88,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : (0 = length1(X0,X1) <=> nil(X0) = X1)),
1.88/0.76	  inference(rectify,[],[f39])).
1.88/0.76	tff(f39,axiom,(
1.88/0.76	  ! [X0 : ty,X11 : uni] : (0 = length1(X0,X11) <=> nil(X0) = X11)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nil)).
1.88/0.76	tff(f562,plain,(
1.88/0.76	  nil(int) != sF12 | spl22_40),
1.88/0.76	  inference(avatar_component_clause,[],[f560])).
1.88/0.76	tff(f560,plain,(
1.88/0.76	  spl22_40 <=> nil(int) = sF12),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_40])])).
1.88/0.76	tff(f1992,plain,(
1.88/0.76	  ~spl22_26 | ~spl22_31 | spl22_40 | ~spl22_51 | spl22_58),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1991])).
1.88/0.76	tff(f1991,plain,(
1.88/0.76	  $false | (~spl22_26 | ~spl22_31 | spl22_40 | ~spl22_51 | spl22_58)),
1.88/0.76	  inference(global_subsumption,[],[f467,f562,f902])).
1.88/0.76	tff(f1990,plain,(
1.88/0.76	  ~spl22_26 | ~spl22_31 | spl22_40),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1989])).
1.88/0.76	tff(f1989,plain,(
1.88/0.76	  $false | (~spl22_26 | ~spl22_31 | spl22_40)),
1.88/0.76	  inference(global_subsumption,[],[f467,f562,f902])).
1.88/0.76	tff(f1988,plain,(
1.88/0.76	  ~spl22_26 | ~spl22_28 | ~spl22_31 | spl22_50),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1987])).
1.88/0.76	tff(f1987,plain,(
1.88/0.76	  $false | (~spl22_26 | ~spl22_28 | ~spl22_31 | spl22_50)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f935])).
1.88/0.76	tff(f935,plain,(
1.88/0.76	  0 != sF20 | no_zero1(sK1) | (~spl22_26 | ~spl22_28)),
1.88/0.76	  inference(forward_demodulation,[],[f930,f412])).
1.88/0.76	tff(f930,plain,(
1.88/0.76	  0 != length1(int,sF12) | no_zero1(sK1) | ~spl22_28),
1.88/0.76	  inference(superposition,[],[f551,f427])).
1.88/0.76	tff(f427,plain,(
1.88/0.76	  t2tb1(sK1) = sF12 | ~spl22_28),
1.88/0.76	  inference(avatar_component_clause,[],[f425])).
1.88/0.76	tff(f425,plain,(
1.88/0.76	  spl22_28 <=> t2tb1(sK1) = sF12),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_28])])).
1.88/0.76	tff(f551,plain,(
1.88/0.76	  ( ! [X1 : list_int] : (0 != length1(int,t2tb1(X1)) | no_zero1(X1)) )),
1.88/0.76	  inference(duplicate_literal_removal,[],[f546])).
1.88/0.76	tff(f546,plain,(
1.88/0.76	  ( ! [X1 : list_int] : (0 != length1(int,t2tb1(X1)) | no_zero1(X1) | no_zero1(X1)) )),
1.88/0.76	  inference(constrained_resolution,[],[f168,f169])).
1.88/0.76	tff(f168,plain,(
1.88/0.76	  ( ! [X0 : list_int] : ($less(sK6(X0),length1(int,t2tb1(X0))) | no_zero1(X0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f132])).
1.88/0.76	tff(f1986,plain,(
1.88/0.76	  ~spl22_9 | ~spl22_20 | ~spl22_26 | ~spl22_31 | ~spl22_45 | spl22_50 | ~spl22_66),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1985])).
1.88/0.76	tff(f1985,plain,(
1.88/0.76	  $false | (~spl22_9 | ~spl22_20 | ~spl22_26 | ~spl22_31 | ~spl22_45 | spl22_50 | ~spl22_66)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f1976])).
1.88/0.76	tff(f1976,plain,(
1.88/0.76	  no_zero1(sK1) | 0 != sF20 | (~spl22_9 | ~spl22_26)),
1.88/0.76	  inference(forward_demodulation,[],[f1576,f311])).
1.88/0.76	tff(f311,plain,(
1.88/0.76	  sK1 = tb2t1(sF12) | ~spl22_9),
1.88/0.76	  inference(avatar_component_clause,[],[f309])).
1.88/0.76	tff(f309,plain,(
1.88/0.76	  spl22_9 <=> sK1 = tb2t1(sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_9])])).
1.88/0.76	tff(f1576,plain,(
1.88/0.76	  0 != sF20 | no_zero1(tb2t1(sF12)) | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f928,f412])).
1.88/0.76	tff(f928,plain,(
1.88/0.76	  ( ! [X0 : uni] : (0 != length1(int,X0) | no_zero1(tb2t1(X0))) )),
1.88/0.76	  inference(superposition,[],[f551,f156])).
1.88/0.76	tff(f156,plain,(
1.88/0.76	  ( ! [X0 : uni] : (t2tb1(tb2t1(X0)) = X0) )),
1.88/0.76	  inference(cnf_transformation,[],[f69])).
1.88/0.76	tff(f69,plain,(
1.88/0.76	  ! [X0 : uni] : t2tb1(tb2t1(X0)) = X0),
1.88/0.76	  inference(rectify,[],[f20])).
1.88/0.76	tff(f20,axiom,(
1.88/0.76	  ! [X9 : uni] : t2tb1(tb2t1(X9)) = X9),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR1)).
1.88/0.76	tff(f1983,plain,(
1.88/0.76	  ~spl22_9 | ~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_51 | spl22_58),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1982])).
1.88/0.76	tff(f1982,plain,(
1.88/0.76	  $false | (~spl22_9 | ~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_51 | spl22_58)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f1976])).
1.88/0.76	tff(f1981,plain,(
1.88/0.76	  ~spl22_9 | ~spl22_17 | ~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_52),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1980])).
1.88/0.76	tff(f1980,plain,(
1.88/0.76	  $false | (~spl22_9 | ~spl22_17 | ~spl22_26 | ~spl22_31 | spl22_50 | ~spl22_52)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f1976])).
1.88/0.76	tff(f1978,plain,(
1.88/0.76	  ~spl22_9 | ~spl22_26 | ~spl22_31 | spl22_50),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1977])).
1.88/0.76	tff(f1977,plain,(
1.88/0.76	  $false | (~spl22_9 | ~spl22_26 | ~spl22_31 | spl22_50)),
1.88/0.76	  inference(global_subsumption,[],[f467,f729,f1976])).
1.88/0.76	tff(f1972,plain,(
1.88/0.76	  ~spl22_36 | spl22_69 | ~spl22_70 | ~spl22_90),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1971])).
1.88/0.76	tff(f1971,plain,(
1.88/0.76	  $false | (~spl22_36 | spl22_69 | ~spl22_70 | ~spl22_90)),
1.88/0.76	  inference(global_subsumption,[],[f1105,f1136,f1956])).
1.88/0.76	tff(f1956,plain,(
1.88/0.76	  ~$less(sK7(sK0,sK2),sK2) | $less(sK7(sK0,sK2),0) | ~spl22_90),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1948])).
1.88/0.76	tff(f1948,plain,(
1.88/0.76	  sF19 != sF19 | ~$less(sK7(sK0,sK2),sK2) | $less(sK7(sK0,sK2),0) | ~spl22_90),
1.88/0.76	  inference(superposition,[],[f236,f1740])).
1.88/0.76	tff(f1740,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8)) | ~spl22_90),
1.88/0.76	  inference(avatar_component_clause,[],[f1738])).
1.88/0.76	tff(f1738,plain,(
1.88/0.76	  spl22_90 <=> sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_90])])).
1.88/0.76	tff(f236,plain,(
1.88/0.76	  ( ! [X7 : $int] : (sF19 != tb2t(nth1(int,X7,sF8)) | ~$less(X7,sK2) | $less(X7,0)) )),
1.88/0.76	  inference(definition_folding,[],[f137,f218,f235,f234,f233])).
1.88/0.76	tff(f233,plain,(
1.88/0.76	  t2tb2(0) = sF17),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f234,plain,(
1.88/0.76	  some(int,sF17) = sF18),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f235,plain,(
1.88/0.76	  tb2t(sF18) = sF19),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f218,plain,(
1.88/0.76	  t2tb1(sK0) = sF8),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f137,plain,(
1.88/0.76	  ( ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f130,plain,(
1.88/0.76	  ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & (~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2) | $less(sK2,0)) & 0 = sK3 & (sK3 = sK4 & sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))))) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))),
1.88/0.76	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f126,f129,f128,f127])).
1.88/0.76	tff(f127,plain,(
1.88/0.76	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & (~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2) | $less(X2,0)) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X6),t2tb1(X0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(X0))) | ~$less(X7,X2) | $less(X7,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))) => (? [X3 : $int] : ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & (~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2) | $less(sK2,0)) & 0 = X3 & ? [X5 : list_int,X4 : $int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1)) & tb2t1(nil(int)) != sK1 & tb2t1(nil(int)) != sK1 & ~$less(sK2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(sK0))) | ~$less(X7,sK2) | $less(X7,0)) & length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1))))),
1.88/0.76	  introduced(choice_axiom,[])).
1.88/0.76	tff(f128,plain,(
1.88/0.76	  ? [X3 : $int] : ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & (~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2) | $less(sK2,0)) & 0 = X3 & ? [X5 : list_int,X4 : $int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1)) => ((~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))) & (~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2) | $less(sK2,0)) & 0 = sK3 & ? [X5 : list_int,X4 : $int] : (sK3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1))),
1.88/0.76	  introduced(choice_axiom,[])).
1.88/0.76	tff(f129,plain,(
1.88/0.76	  ? [X5 : list_int,X4 : $int] : (sK3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = sK1) => (sK3 = sK4 & sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5))))),
1.88/0.76	  introduced(choice_axiom,[])).
1.88/0.76	tff(f126,plain,(
1.88/0.76	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X3 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & (~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2) | $less(X2,0)) & 0 = X3 & ? [X4 : $int,X5 : list_int] : (X3 = X4 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X6),t2tb1(X0))) | $less(X6,0)) & ! [X7 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X7,t2tb1(X0))) | ~$less(X7,X2) | $less(X7,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))))),
1.88/0.76	  inference(rectify,[],[f106])).
1.88/0.76	tff(f106,plain,(
1.88/0.76	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (? [X5 : $int] : ((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & (~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2) | $less(X2,0)) & 0 = X5 & ? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1)) & tb2t1(nil(int)) != X1 & tb2t1(nil(int)) != X1 & ~$less(X2,0) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | ~$less(X4,X2) | $less(X4,0)) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1))))),
1.88/0.76	  inference(flattening,[],[f105])).
1.88/0.76	tff(f105,plain,(
1.88/0.76	  ? [X0 : list_int,X1 : list_int,X2 : $int] : (((? [X5 : $int] : ((((~no_zero1(X0) | length1(int,t2tb1(X0)) != X2) & (~$less(X2,length1(int,t2tb1(X0))) | ~zero_at1(X0,X2) | $less(X2,0))) & 0 = X5) & ? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1)) & tb2t1(nil(int)) != X1) & tb2t1(nil(int)) != X1) & (~$less(X2,0) & ! [X3 : $int] : (tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0))) | $less(X3,0)) & ! [X4 : $int] : (tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0))) | (~$less(X4,X2) | $less(X4,0))) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))))),
1.88/0.76	  inference(ennf_transformation,[],[f61])).
1.88/0.76	tff(f61,plain,(
1.88/0.76	  ~! [X0 : list_int,X1 : list_int,X2 : $int] : ((~$less(X2,0) & ! [X3 : $int] : (~$less(X3,0) => tb2t(nth1(int,X3,t2tb1(X1))) = tb2t(nth1(int,$sum(X2,X3),t2tb1(X0)))) & ! [X4 : $int] : (($less(X4,X2) & ~$less(X4,0)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X4,t2tb1(X0)))) & length1(int,t2tb1(X0)) = $sum(X2,length1(int,t2tb1(X1)))) => (tb2t1(nil(int)) != X1 => (tb2t1(nil(int)) != X1 => ! [X5 : $int] : (? [X6 : $int,X7 : list_int] : (X5 = X6 & tb2t1(cons(int,t2tb2(X6),t2tb1(X7))) = X1) => (0 = X5 => ((no_zero1(X0) & length1(int,t2tb1(X0)) = X2) | ($less(X2,length1(int,t2tb1(X0))) & zero_at1(X0,X2) & ~$less(X2,0))))))))),
1.88/0.76	  inference(rectify,[],[f55])).
1.88/0.76	tff(f55,plain,(
1.88/0.76	  ~! [X11 : list_int,X15 : list_int,X3 : $int] : ((~$less(X3,0) & ! [X9 : $int] : (~$less(X9,0) => tb2t(nth1(int,X9,t2tb1(X15))) = tb2t(nth1(int,$sum(X3,X9),t2tb1(X11)))) & ! [X9 : $int] : (($less(X9,X3) & ~$less(X9,0)) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))) & length1(int,t2tb1(X11)) = $sum(X3,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X4 : $int,X5 : list_int] : (X4 = X16 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X15) => (0 = X16 => ((no_zero1(X11) & length1(int,t2tb1(X11)) = X3) | ($less(X3,length1(int,t2tb1(X11))) & zero_at1(X11,X3) & ~$less(X3,0))))))))),
1.88/0.76	  inference(theory_normalization,[],[f38])).
1.88/0.76	tff(f38,negated_conjecture,(
1.88/0.76	  ~! [X11 : list_int,X15 : list_int,X3 : $int] : (($lesseq(0,X3) & ! [X9 : $int] : ($lesseq(0,X9) => tb2t(nth1(int,X9,t2tb1(X15))) = tb2t(nth1(int,$sum(X3,X9),t2tb1(X11)))) & ! [X9 : $int] : (($less(X9,X3) & $lesseq(0,X9)) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))) & length1(int,t2tb1(X11)) = $sum(X3,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X4 : $int,X5 : list_int] : (X4 = X16 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X15) => (0 = X16 => ((no_zero1(X11) & length1(int,t2tb1(X11)) = X3) | ($less(X3,length1(int,t2tb1(X11))) & zero_at1(X11,X3) & $lesseq(0,X3))))))))),
1.88/0.76	  inference(negated_conjecture,[],[f37])).
1.88/0.76	tff(f37,conjecture,(
1.88/0.76	  ! [X11 : list_int,X15 : list_int,X3 : $int] : (($lesseq(0,X3) & ! [X9 : $int] : ($lesseq(0,X9) => tb2t(nth1(int,X9,t2tb1(X15))) = tb2t(nth1(int,$sum(X3,X9),t2tb1(X11)))) & ! [X9 : $int] : (($less(X9,X3) & $lesseq(0,X9)) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))) & length1(int,t2tb1(X11)) = $sum(X3,length1(int,t2tb1(X15)))) => (tb2t1(nil(int)) != X15 => (tb2t1(nil(int)) != X15 => ! [X16 : $int] : (? [X4 : $int,X5 : list_int] : (X4 = X16 & tb2t1(cons(int,t2tb2(X4),t2tb1(X5))) = X15) => (0 = X16 => ((no_zero1(X11) & length1(int,t2tb1(X11)) = X3) | ($less(X3,length1(int,t2tb1(X11))) & zero_at1(X11,X3) & $lesseq(0,X3))))))))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_search_loop)).
1.88/0.76	tff(f1136,plain,(
1.88/0.76	  $less(sK7(sK0,sK2),sK2) | ~spl22_70),
1.88/0.76	  inference(avatar_component_clause,[],[f1134])).
1.88/0.76	tff(f1134,plain,(
1.88/0.76	  spl22_70 <=> $less(sK7(sK0,sK2),sK2)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_70])])).
1.88/0.76	tff(f1105,plain,(
1.88/0.76	  ~$less(sK7(sK0,sK2),0) | spl22_69),
1.88/0.76	  inference(avatar_component_clause,[],[f1103])).
1.88/0.76	tff(f1103,plain,(
1.88/0.76	  spl22_69 <=> $less(sK7(sK0,sK2),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_69])])).
1.88/0.76	tff(f1963,plain,(
1.88/0.76	  spl22_69 | ~spl22_70 | ~spl22_90),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1962])).
1.88/0.76	tff(f1962,plain,(
1.88/0.76	  $false | (spl22_69 | ~spl22_70 | ~spl22_90)),
1.88/0.76	  inference(global_subsumption,[],[f1105,f1136,f1956])).
1.88/0.76	tff(f1880,plain,(
1.88/0.76	  spl22_103),
1.88/0.76	  inference(avatar_contradiction_clause,[],[f1879])).
1.88/0.76	tff(f1879,plain,(
1.88/0.76	  $false | spl22_103),
1.88/0.76	  inference(resolution,[],[f1873,f530])).
1.88/0.76	tff(f530,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty] : (sort1(list(X0),X2)) )),
1.88/0.76	  inference(superposition,[],[f178,f197])).
1.88/0.76	tff(f197,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_21(X0,cons(X0,X1,X2)) = X2) )),
1.88/0.76	  inference(cnf_transformation,[],[f54])).
1.88/0.76	tff(f54,axiom,(
1.88/0.76	  ! [X0 : ty,X1 : uni,X2 : uni] : cons_proj_21(X0,cons(X0,X1,X2)) = X2),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_2_def1)).
1.88/0.76	tff(f178,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (sort1(list(X0),cons_proj_21(X0,X1))) )),
1.88/0.76	  inference(cnf_transformation,[],[f84])).
1.88/0.76	tff(f84,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : sort1(list(X0),cons_proj_21(X0,X1))),
1.88/0.76	  inference(rectify,[],[f21])).
1.88/0.76	tff(f21,axiom,(
1.88/0.76	  ! [X0 : ty,X4 : uni] : sort1(list(X0),cons_proj_21(X0,X4))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_2_sort3)).
1.88/0.76	tff(f1873,plain,(
1.88/0.76	  ~sort1(list(int),sF11) | spl22_103),
1.88/0.76	  inference(avatar_component_clause,[],[f1871])).
1.88/0.76	tff(f1871,plain,(
1.88/0.76	  spl22_103 <=> sort1(list(int),sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_103])])).
1.88/0.76	tff(f1878,plain,(
1.88/0.76	  ~spl22_103 | spl22_104 | ~spl22_65),
1.88/0.76	  inference(avatar_split_clause,[],[f950,f945,f1875,f1871])).
1.88/0.76	tff(f1875,plain,(
1.88/0.76	  spl22_104 <=> sF11 = some_proj_11(list(int),tl(int,sF12))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_104])])).
1.88/0.76	tff(f945,plain,(
1.88/0.76	  spl22_65 <=> some(list(int),sF11) = tl(int,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_65])])).
1.88/0.76	tff(f950,plain,(
1.88/0.76	  sF11 = some_proj_11(list(int),tl(int,sF12)) | ~sort1(list(int),sF11) | ~spl22_65),
1.88/0.76	  inference(superposition,[],[f186,f947])).
1.88/0.76	tff(f947,plain,(
1.88/0.76	  some(list(int),sF11) = tl(int,sF12) | ~spl22_65),
1.88/0.76	  inference(avatar_component_clause,[],[f945])).
1.88/0.76	tff(f186,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1)) )),
1.88/0.76	  inference(cnf_transformation,[],[f111])).
1.88/0.76	tff(f111,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : (some_proj_11(X0,some(X0,X1)) = X1 | ~sort1(X0,X1))),
1.88/0.76	  inference(ennf_transformation,[],[f13])).
1.88/0.76	tff(f13,axiom,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : (sort1(X0,X1) => some_proj_11(X0,some(X0,X1)) = X1)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',some_proj_1_def1)).
1.88/0.76	tff(f1837,plain,(
1.88/0.76	  ~spl22_102 | ~spl22_17 | spl22_44 | ~spl22_45),
1.88/0.76	  inference(avatar_split_clause,[],[f1820,f701,f684,f350,f1834])).
1.88/0.76	tff(f1834,plain,(
1.88/0.76	  spl22_102 <=> sF18 = hd(int,sF14)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_102])])).
1.88/0.76	tff(f350,plain,(
1.88/0.76	  spl22_17 <=> nil(int) = sF14),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_17])])).
1.88/0.76	tff(f684,plain,(
1.88/0.76	  spl22_44 <=> sF12 = sF14),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_44])])).
1.88/0.76	tff(f701,plain,(
1.88/0.76	  spl22_45 <=> sF18 = nth1(int,0,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_45])])).
1.88/0.76	tff(f1820,plain,(
1.88/0.76	  sF18 != hd(int,sF14) | (~spl22_17 | spl22_44 | ~spl22_45)),
1.88/0.76	  inference(global_subsumption,[],[f686,f1812])).
1.88/0.76	tff(f1812,plain,(
1.88/0.76	  sF18 != hd(int,sF14) | sF12 = sF14 | (~spl22_17 | ~spl22_45)),
1.88/0.76	  inference(superposition,[],[f1290,f703])).
1.88/0.76	tff(f703,plain,(
1.88/0.76	  sF18 = nth1(int,0,sF12) | ~spl22_45),
1.88/0.76	  inference(avatar_component_clause,[],[f701])).
1.88/0.76	tff(f1290,plain,(
1.88/0.76	  ( ! [X0 : uni] : (hd(int,sF14) != nth1(int,0,X0) | sF14 = X0) ) | ~spl22_17),
1.88/0.76	  inference(forward_demodulation,[],[f1280,f352])).
1.88/0.76	tff(f352,plain,(
1.88/0.76	  nil(int) = sF14 | ~spl22_17),
1.88/0.76	  inference(avatar_component_clause,[],[f350])).
1.88/0.76	tff(f1280,plain,(
1.88/0.76	  ( ! [X0 : uni] : (hd(int,sF14) != nth1(int,0,X0) | nil(int) = X0) ) | ~spl22_17),
1.88/0.76	  inference(superposition,[],[f536,f662])).
1.88/0.76	tff(f662,plain,(
1.88/0.76	  ( ! [X12 : ty,X13 : uni] : (some(X12,cons_proj_11(X12,X13)) = nth1(X12,0,X13) | nil(X12) = X13) )),
1.88/0.76	  inference(superposition,[],[f216,f184])).
1.88/0.76	tff(f184,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1 | nil(X0) = X1) )),
1.88/0.76	  inference(cnf_transformation,[],[f53])).
1.88/0.76	tff(f53,axiom,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : (nil(X0) = X1 | cons(X0,cons_proj_11(X0,X1),cons_proj_21(X0,X1)) = X1)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',list_inversion1)).
1.88/0.76	tff(f216,plain,(
1.88/0.76	  ( ! [X2 : uni,X3 : uni,X0 : ty] : (some(X0,X2) = nth1(X0,0,cons(X0,X2,X3))) )),
1.88/0.76	  inference(equality_resolution,[],[f183])).
1.88/0.76	tff(f183,plain,(
1.88/0.76	  ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : $int] : (nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) | 0 != X1) )),
1.88/0.76	  inference(cnf_transformation,[],[f109])).
1.88/0.76	tff(f109,plain,(
1.88/0.76	  ! [X0 : ty,X1 : $int] : (! [X2 : uni,X3 : uni] : ((nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2) | 0 != X1) & (nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) | 0 = X1)) & none(X0) = nth1(X0,X1,nil(X0)))),
1.88/0.76	  inference(ennf_transformation,[],[f87])).
1.88/0.76	tff(f87,plain,(
1.88/0.76	  ! [X0 : ty,X1 : $int] : (! [X2 : uni,X3 : uni] : ((0 = X1 => nth1(X0,X1,cons(X0,X2,X3)) = some(X0,X2)) & (0 != X1 => nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3))) & none(X0) = nth1(X0,X1,nil(X0)))),
1.88/0.76	  inference(rectify,[],[f58])).
1.88/0.76	tff(f58,plain,(
1.88/0.76	  ! [X0 : ty,X14 : $int] : (! [X4 : uni,X5 : uni] : ((0 = X14 => nth1(X0,X14,cons(X0,X4,X5)) = some(X0,X4)) & (0 != X14 => nth1(X0,X14,cons(X0,X4,X5)) = nth1(X0,$sum(X14,$uminus(1)),X5))) & none(X0) = nth1(X0,X14,nil(X0)))),
1.88/0.76	  inference(theory_normalization,[],[f28])).
1.88/0.76	tff(f28,axiom,(
1.88/0.76	  ! [X0 : ty,X14 : $int] : (! [X4 : uni,X5 : uni] : ((0 = X14 => nth1(X0,X14,cons(X0,X4,X5)) = some(X0,X4)) & (0 != X14 => nth1(X0,X14,cons(X0,X4,X5)) = nth1(X0,$difference(X14,1),X5))) & none(X0) = nth1(X0,X14,nil(X0)))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',nth_def)).
1.88/0.76	tff(f536,plain,(
1.88/0.76	  ( ! [X0 : uni] : (some(int,X0) != hd(int,sF14)) ) | ~spl22_17),
1.88/0.76	  inference(superposition,[],[f212,f352])).
1.88/0.76	tff(f212,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (some(X0,X1) != hd(X0,nil(X0))) )),
1.88/0.76	  inference(definition_unfolding,[],[f175,f162])).
1.88/0.76	tff(f162,plain,(
1.88/0.76	  ( ! [X0 : ty] : (none(X0) = hd(X0,nil(X0))) )),
1.88/0.76	  inference(cnf_transformation,[],[f72])).
1.88/0.76	tff(f72,plain,(
1.88/0.76	  ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : some(X0,X1) = hd(X0,cons(X0,X1,X2)))),
1.88/0.76	  inference(rectify,[],[f29])).
1.88/0.76	tff(f29,axiom,(
1.88/0.76	  ! [X0 : ty] : (none(X0) = hd(X0,nil(X0)) & ! [X4 : uni,X5 : uni] : some(X0,X4) = hd(X0,cons(X0,X4,X5)))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',hd_def)).
1.88/0.76	tff(f175,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (none(X0) != some(X0,X1)) )),
1.88/0.76	  inference(cnf_transformation,[],[f81])).
1.88/0.76	tff(f81,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : none(X0) != some(X0,X1)),
1.88/0.76	  inference(rectify,[],[f10])).
1.88/0.76	tff(f10,axiom,(
1.88/0.76	  ! [X0 : ty,X10 : uni] : none(X0) != some(X0,X10)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',none_Some1)).
1.88/0.76	tff(f686,plain,(
1.88/0.76	  sF12 != sF14 | spl22_44),
1.88/0.76	  inference(avatar_component_clause,[],[f684])).
1.88/0.76	tff(f1811,plain,(
1.88/0.76	  ~spl22_101 | ~spl22_9 | spl22_50 | spl22_95),
1.88/0.76	  inference(avatar_split_clause,[],[f1779,f1770,f728,f309,f1808])).
1.88/0.76	tff(f1808,plain,(
1.88/0.76	  spl22_101 <=> sK6(sK1) = sK7(sK1,sK6(sK1))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_101])])).
1.88/0.76	tff(f1770,plain,(
1.88/0.76	  spl22_95 <=> sF19 = tb2t(nth1(int,sK7(sK1,sK6(sK1)),sF12))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_95])])).
1.88/0.76	tff(f1779,plain,(
1.88/0.76	  sK6(sK1) != sK7(sK1,sK6(sK1)) | (~spl22_9 | spl22_50 | spl22_95)),
1.88/0.76	  inference(global_subsumption,[],[f729,f1778])).
1.88/0.76	tff(f1778,plain,(
1.88/0.76	  sK6(sK1) != sK7(sK1,sK6(sK1)) | no_zero1(sK1) | (~spl22_9 | spl22_95)),
1.88/0.76	  inference(forward_demodulation,[],[f1777,f311])).
1.88/0.76	tff(f1777,plain,(
1.88/0.76	  no_zero1(sK1) | sK6(tb2t1(sF12)) != sK7(sK1,sK6(sK1)) | (~spl22_9 | spl22_95)),
1.88/0.76	  inference(forward_demodulation,[],[f1776,f311])).
1.88/0.76	tff(f1776,plain,(
1.88/0.76	  no_zero1(tb2t1(sF12)) | sK6(tb2t1(sF12)) != sK7(sK1,sK6(sK1)) | spl22_95),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1774])).
1.88/0.76	tff(f1774,plain,(
1.88/0.76	  sF19 != sF19 | no_zero1(tb2t1(sF12)) | sK6(tb2t1(sF12)) != sK7(sK1,sK6(sK1)) | spl22_95),
1.88/0.76	  inference(constrained_superposition,[],[f1771,f538])).
1.88/0.76	tff(f538,plain,(
1.88/0.76	  ( ! [X0 : uni] : (sF19 = tb2t(nth1(int,sK6(tb2t1(X0)),X0)) | no_zero1(tb2t1(X0))) )),
1.88/0.76	  inference(superposition,[],[f249,f156])).
1.88/0.76	tff(f249,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (tb2t(nth1(int,sK6(X0),t2tb1(X0))) = sF19 | no_zero1(X0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f248,f235])).
1.88/0.76	tff(f248,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (tb2t(nth1(int,sK6(X0),t2tb1(X0))) = tb2t(sF18) | no_zero1(X0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f247,f243])).
1.88/0.76	tff(f243,plain,(
1.88/0.76	  sF18 = some(int,sF10)),
1.88/0.76	  inference(backward_demodulation,[],[f234,f242])).
1.88/0.76	tff(f242,plain,(
1.88/0.76	  sF10 = sF17),
1.88/0.76	  inference(backward_demodulation,[],[f233,f241])).
1.88/0.76	tff(f241,plain,(
1.88/0.76	  t2tb2(0) = sF10),
1.88/0.76	  inference(backward_demodulation,[],[f222,f209])).
1.88/0.76	tff(f209,plain,(
1.88/0.76	  0 = sK4),
1.88/0.76	  inference(definition_unfolding,[],[f143,f144])).
1.88/0.76	tff(f144,plain,(
1.88/0.76	  0 = sK3),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f143,plain,(
1.88/0.76	  sK3 = sK4),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f222,plain,(
1.88/0.76	  t2tb2(sK4) = sF10),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f247,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (tb2t(nth1(int,sK6(X0),t2tb1(X0))) = tb2t(some(int,sF10)) | no_zero1(X0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f170,f241])).
1.88/0.76	tff(f170,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (no_zero1(X0) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK6(X0),t2tb1(X0)))) )),
1.88/0.76	  inference(cnf_transformation,[],[f132])).
1.88/0.76	tff(f1771,plain,(
1.88/0.76	  sF19 != tb2t(nth1(int,sK7(sK1,sK6(sK1)),sF12)) | spl22_95),
1.88/0.76	  inference(avatar_component_clause,[],[f1770])).
1.88/0.76	tff(f1803,plain,(
1.88/0.76	  ~spl22_99 | spl22_100 | ~spl22_17 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f1267,f485,f350,f1801,f1797])).
1.88/0.76	tff(f1797,plain,(
1.88/0.76	  spl22_99 <=> 0 = $sum(1,sF9)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_99])])).
1.88/0.76	tff(f1801,plain,(
1.88/0.76	  spl22_100 <=> ! [X1 : uni] : sF14 = cons(int,X1,sF8)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_100])])).
1.88/0.76	tff(f485,plain,(
1.88/0.76	  spl22_33 <=> length1(int,sF8) = sF9),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_33])])).
1.88/0.76	tff(f1267,plain,(
1.88/0.76	  ( ! [X1 : uni] : (sF14 = cons(int,X1,sF8) | 0 != $sum(1,sF9)) ) | (~spl22_17 | ~spl22_33)),
1.88/0.76	  inference(forward_demodulation,[],[f1259,f352])).
1.88/0.76	tff(f1259,plain,(
1.88/0.76	  ( ! [X1 : uni] : (0 != $sum(1,sF9) | nil(int) = cons(int,X1,sF8)) ) | ~spl22_33),
1.88/0.76	  inference(superposition,[],[f607,f487])).
1.88/0.76	tff(f487,plain,(
1.88/0.76	  length1(int,sF8) = sF9 | ~spl22_33),
1.88/0.76	  inference(avatar_component_clause,[],[f485])).
1.88/0.76	tff(f607,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (0 != $sum(1,length1(X0,X2)) | cons(X0,X1,X2) = nil(X0)) )),
1.88/0.76	  inference(superposition,[],[f189,f165])).
1.88/0.76	tff(f165,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2))) )),
1.88/0.76	  inference(cnf_transformation,[],[f74])).
1.88/0.76	tff(f74,plain,(
1.88/0.76	  ! [X0 : ty] : (0 = length1(X0,nil(X0)) & ! [X1 : uni,X2 : uni] : length1(X0,cons(X0,X1,X2)) = $sum(1,length1(X0,X2)))),
1.88/0.76	  inference(rectify,[],[f48])).
1.88/0.76	tff(f48,axiom,(
1.88/0.76	  ! [X0 : ty] : (0 = length1(X0,nil(X0)) & ! [X4 : uni,X5 : uni] : length1(X0,cons(X0,X4,X5)) = $sum(1,length1(X0,X5)))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_def)).
1.88/0.76	tff(f1795,plain,(
1.88/0.76	  ~spl22_98 | spl22_11 | ~spl22_37 | spl22_92),
1.88/0.76	  inference(avatar_split_clause,[],[f1764,f1747,f519,f318,f1792])).
1.88/0.76	tff(f1792,plain,(
1.88/0.76	  spl22_98 <=> sK6(sK0) = sK7(sK0,sK6(sK0))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_98])])).
1.88/0.76	tff(f318,plain,(
1.88/0.76	  spl22_11 <=> no_zero1(sK0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_11])])).
1.88/0.76	tff(f519,plain,(
1.88/0.76	  spl22_37 <=> sK0 = tb2t1(sF8)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_37])])).
1.88/0.76	tff(f1747,plain,(
1.88/0.76	  spl22_92 <=> sF19 = tb2t(nth1(int,sK7(sK0,sK6(sK0)),sF8))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_92])])).
1.88/0.76	tff(f1764,plain,(
1.88/0.76	  sK6(sK0) != sK7(sK0,sK6(sK0)) | (spl22_11 | ~spl22_37 | spl22_92)),
1.88/0.76	  inference(global_subsumption,[],[f320,f1763])).
1.88/0.76	tff(f1763,plain,(
1.88/0.76	  sK6(sK0) != sK7(sK0,sK6(sK0)) | no_zero1(sK0) | (~spl22_37 | spl22_92)),
1.88/0.76	  inference(forward_demodulation,[],[f1762,f521])).
1.88/0.76	tff(f521,plain,(
1.88/0.76	  sK0 = tb2t1(sF8) | ~spl22_37),
1.88/0.76	  inference(avatar_component_clause,[],[f519])).
1.88/0.76	tff(f1762,plain,(
1.88/0.76	  no_zero1(sK0) | sK6(tb2t1(sF8)) != sK7(sK0,sK6(sK0)) | (~spl22_37 | spl22_92)),
1.88/0.76	  inference(forward_demodulation,[],[f1761,f521])).
1.88/0.76	tff(f1761,plain,(
1.88/0.76	  no_zero1(tb2t1(sF8)) | sK6(tb2t1(sF8)) != sK7(sK0,sK6(sK0)) | spl22_92),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1759])).
1.88/0.76	tff(f1759,plain,(
1.88/0.76	  sF19 != sF19 | no_zero1(tb2t1(sF8)) | sK6(tb2t1(sF8)) != sK7(sK0,sK6(sK0)) | spl22_92),
1.88/0.76	  inference(constrained_superposition,[],[f1748,f538])).
1.88/0.76	tff(f1748,plain,(
1.88/0.76	  sF19 != tb2t(nth1(int,sK7(sK0,sK6(sK0)),sF8)) | spl22_92),
1.88/0.76	  inference(avatar_component_clause,[],[f1747])).
1.88/0.76	tff(f320,plain,(
1.88/0.76	  ~no_zero1(sK0) | spl22_11),
1.88/0.76	  inference(avatar_component_clause,[],[f318])).
1.88/0.76	tff(f1788,plain,(
1.88/0.76	  ~spl22_96 | spl22_97 | ~spl22_35 | ~spl22_52),
1.88/0.76	  inference(avatar_split_clause,[],[f1314,f752,f507,f1785,f1781])).
1.88/0.76	tff(f1781,plain,(
1.88/0.76	  spl22_96 <=> -1 = length1(int,sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_96])])).
1.88/0.76	tff(f1785,plain,(
1.88/0.76	  spl22_97 <=> nth1(int,1,sF12) = nth1(int,sF20,sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_97])])).
1.88/0.76	tff(f507,plain,(
1.88/0.76	  spl22_35 <=> cons(int,sF10,sF11) = sF12),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_35])])).
1.88/0.76	tff(f752,plain,(
1.88/0.76	  spl22_52 <=> sF20 = $sum(1,length1(int,sF11))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_52])])).
1.88/0.76	tff(f1314,plain,(
1.88/0.76	  nth1(int,1,sF12) = nth1(int,sF20,sF11) | -1 != length1(int,sF11) | (~spl22_35 | ~spl22_52)),
1.88/0.76	  inference(evaluation,[],[f1308])).
1.88/0.76	tff(f1308,plain,(
1.88/0.76	  nth1(int,1,sF12) = nth1(int,sF20,sF11) | 0 = 1 | -1 != length1(int,sF11) | (~spl22_35 | ~spl22_52)),
1.88/0.76	  inference(constrained_superposition,[],[f692,f754])).
1.88/0.76	tff(f754,plain,(
1.88/0.76	  sF20 = $sum(1,length1(int,sF11)) | ~spl22_52),
1.88/0.76	  inference(avatar_component_clause,[],[f752])).
1.88/0.76	tff(f692,plain,(
1.88/0.76	  ( ! [X0 : $int] : (nth1(int,X0,sF12) = nth1(int,$sum(X0,-1),sF11) | 0 = X0) ) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f240,f509])).
1.88/0.76	tff(f509,plain,(
1.88/0.76	  cons(int,sF10,sF11) = sF12 | ~spl22_35),
1.88/0.76	  inference(avatar_component_clause,[],[f507])).
1.88/0.76	tff(f240,plain,(
1.88/0.76	  ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : $int] : (nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,-1),X3) | 0 = X1) )),
1.88/0.76	  inference(evaluation,[],[f182])).
1.88/0.76	tff(f182,plain,(
1.88/0.76	  ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : $int] : (nth1(X0,X1,cons(X0,X2,X3)) = nth1(X0,$sum(X1,$uminus(1)),X3) | 0 = X1) )),
1.88/0.76	  inference(cnf_transformation,[],[f109])).
1.88/0.76	tff(f1773,plain,(
1.88/0.76	  spl22_94 | spl22_95 | ~spl22_28 | spl22_50),
1.88/0.76	  inference(avatar_split_clause,[],[f1252,f728,f425,f1770,f1766])).
1.88/0.76	tff(f1766,plain,(
1.88/0.76	  spl22_94 <=> zero_at1(sK1,sK6(sK1))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_94])])).
1.88/0.76	tff(f1252,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK1,sK6(sK1)),sF12)) | zero_at1(sK1,sK6(sK1)) | (~spl22_28 | spl22_50)),
1.88/0.76	  inference(global_subsumption,[],[f729,f1237])).
1.88/0.76	tff(f1237,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK1,sK6(sK1)),sF12)) | zero_at1(sK1,sK6(sK1)) | no_zero1(sK1) | ~spl22_28),
1.88/0.76	  inference(superposition,[],[f680,f427])).
1.88/0.76	tff(f680,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (sF19 = tb2t(nth1(int,sK7(X0,sK6(X0)),t2tb1(X0))) | zero_at1(X0,sK6(X0)) | no_zero1(X0)) )),
1.88/0.76	  inference(trivial_inequality_removal,[],[f678])).
1.88/0.76	tff(f678,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (sF19 != sF19 | sF19 = tb2t(nth1(int,sK7(X0,sK6(X0)),t2tb1(X0))) | zero_at1(X0,sK6(X0)) | no_zero1(X0)) )),
1.88/0.76	  inference(superposition,[],[f255,f249])).
1.88/0.76	tff(f255,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != sF19 | tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = sF19 | zero_at1(X0,X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f254,f235])).
1.88/0.76	tff(f254,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF18) | tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = sF19 | zero_at1(X0,X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f253,f243])).
1.88/0.76	tff(f253,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF10)) | tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = sF19 | zero_at1(X0,X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f252,f241])).
1.88/0.76	tff(f252,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = sF19 | zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(forward_demodulation,[],[f251,f235])).
1.88/0.76	tff(f251,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = tb2t(sF18) | zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(forward_demodulation,[],[f250,f243])).
1.88/0.76	tff(f250,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) = tb2t(some(int,sF10)) | zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(forward_demodulation,[],[f193,f241])).
1.88/0.76	tff(f193,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(cnf_transformation,[],[f135])).
1.88/0.76	tff(f135,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & ~$less(sK7(X0,X1),0) & $less(sK7(X0,X1),X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))))),
1.88/0.76	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f116,f134])).
1.88/0.76	tff(f134,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,X1)) => (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,sK7(X0,X1),t2tb1(X0))) & ~$less(sK7(X0,X1),0) & $less(sK7(X0,X1),X1)))),
1.88/0.76	  introduced(choice_axiom,[])).
1.88/0.76	tff(f116,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | ? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & ~$less(X2,0) & $less(X2,X1)) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0))))),
1.88/0.76	  inference(flattening,[],[f115])).
1.88/0.76	tff(f115,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | (? [X2 : $int] : (tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X2,t2tb1(X0))) & (~$less(X2,0) & $less(X2,X1))) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))))),
1.88/0.76	  inference(ennf_transformation,[],[f104])).
1.88/0.76	tff(f104,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : ((! [X2 : $int] : ((~$less(X2,0) & $less(X2,X1)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) => zero_at1(X0,X1))),
1.88/0.76	  inference(unused_predicate_definition_removal,[],[f89])).
1.88/0.76	tff(f89,plain,(
1.88/0.76	  ! [X0 : list_int,X1 : $int] : ((! [X2 : $int] : ((~$less(X2,0) & $less(X2,X1)) => tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X2,t2tb1(X0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X1,t2tb1(X0)))) <=> zero_at1(X0,X1))),
1.88/0.76	  inference(rectify,[],[f59])).
1.88/0.76	tff(f59,plain,(
1.88/0.76	  ! [X11 : list_int,X3 : $int] : ((! [X9 : $int] : ((~$less(X9,0) & $less(X9,X3)) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X11)))) <=> zero_at1(X11,X3))),
1.88/0.76	  inference(theory_normalization,[],[f34])).
1.88/0.76	tff(f34,axiom,(
1.88/0.76	  ! [X11 : list_int,X3 : $int] : ((! [X9 : $int] : (($lesseq(0,X9) & $less(X9,X3)) => tb2t(nth1(int,X9,t2tb1(X11))) != tb2t(some(int,t2tb2(0)))) & tb2t(some(int,t2tb2(0))) = tb2t(nth1(int,X3,t2tb1(X11)))) <=> zero_at1(X11,X3))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_at_def)).
1.88/0.76	tff(f1757,plain,(
1.88/0.76	  ~spl22_93 | spl22_62 | ~spl22_91),
1.88/0.76	  inference(avatar_split_clause,[],[f1751,f1743,f882,f1754])).
1.88/0.76	tff(f1754,plain,(
1.88/0.76	  spl22_93 <=> 0 = sK6(sK0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_93])])).
1.88/0.76	tff(f882,plain,(
1.88/0.76	  spl22_62 <=> zero_at1(sK0,0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_62])])).
1.88/0.76	tff(f1743,plain,(
1.88/0.76	  spl22_91 <=> zero_at1(sK0,sK6(sK0))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_91])])).
1.88/0.76	tff(f1751,plain,(
1.88/0.76	  0 != sK6(sK0) | (spl22_62 | ~spl22_91)),
1.88/0.76	  inference(constrained_resolution,[],[f1745,f884])).
1.88/0.76	tff(f884,plain,(
1.88/0.76	  ~zero_at1(sK0,0) | spl22_62),
1.88/0.76	  inference(avatar_component_clause,[],[f882])).
1.88/0.76	tff(f1745,plain,(
1.88/0.76	  zero_at1(sK0,sK6(sK0)) | ~spl22_91),
1.88/0.76	  inference(avatar_component_clause,[],[f1743])).
1.88/0.76	tff(f1750,plain,(
1.88/0.76	  spl22_91 | spl22_92 | spl22_11 | ~spl22_14),
1.88/0.76	  inference(avatar_split_clause,[],[f1251,f335,f318,f1747,f1743])).
1.88/0.76	tff(f335,plain,(
1.88/0.76	  spl22_14 <=> t2tb1(sK0) = sF8),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_14])])).
1.88/0.76	tff(f1251,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK0,sK6(sK0)),sF8)) | zero_at1(sK0,sK6(sK0)) | (spl22_11 | ~spl22_14)),
1.88/0.76	  inference(global_subsumption,[],[f320,f1236])).
1.88/0.76	tff(f1236,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK0,sK6(sK0)),sF8)) | zero_at1(sK0,sK6(sK0)) | no_zero1(sK0) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f680,f337])).
1.88/0.76	tff(f337,plain,(
1.88/0.76	  t2tb1(sK0) = sF8 | ~spl22_14),
1.88/0.76	  inference(avatar_component_clause,[],[f335])).
1.88/0.76	tff(f1741,plain,(
1.88/0.76	  spl22_90 | ~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67),
1.88/0.76	  inference(avatar_split_clause,[],[f1333,f1029,f374,f365,f335,f1738])).
1.88/0.76	tff(f365,plain,(
1.88/0.76	  spl22_20 <=> tb2t(sF18) = sF19),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_20])])).
1.88/0.76	tff(f374,plain,(
1.88/0.76	  spl22_22 <=> $less(sK2,sF9)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_22])])).
1.88/0.76	tff(f1029,plain,(
1.88/0.76	  spl22_67 <=> sF18 = nth1(int,sK2,sF8)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_67])])).
1.88/0.76	tff(f1333,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8)) | (~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67)),
1.88/0.76	  inference(global_subsumption,[],[f245,f375,f1332])).
1.88/0.76	tff(f1332,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8)) | zero_at1(sK0,sK2) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1331])).
1.88/0.76	tff(f1331,plain,(
1.88/0.76	  sF19 != sF19 | sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8)) | zero_at1(sK0,sK2) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(forward_demodulation,[],[f1326,f367])).
1.88/0.76	tff(f367,plain,(
1.88/0.76	  tb2t(sF18) = sF19 | ~spl22_20),
1.88/0.76	  inference(avatar_component_clause,[],[f365])).
1.88/0.76	tff(f1326,plain,(
1.88/0.76	  tb2t(sF18) != sF19 | sF19 = tb2t(nth1(int,sK7(sK0,sK2),sF8)) | zero_at1(sK0,sK2) | (~spl22_14 | ~spl22_67)),
1.88/0.76	  inference(superposition,[],[f674,f1031])).
1.88/0.76	tff(f1031,plain,(
1.88/0.76	  sF18 = nth1(int,sK2,sF8) | ~spl22_67),
1.88/0.76	  inference(avatar_component_clause,[],[f1029])).
1.88/0.76	tff(f674,plain,(
1.88/0.76	  ( ! [X2 : $int] : (sF19 != tb2t(nth1(int,X2,sF8)) | sF19 = tb2t(nth1(int,sK7(sK0,X2),sF8)) | zero_at1(sK0,X2)) ) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f255,f337])).
1.88/0.76	tff(f375,plain,(
1.88/0.76	  $less(sK2,sF9) | ~spl22_22),
1.88/0.76	  inference(avatar_component_clause,[],[f374])).
1.88/0.76	tff(f245,plain,(
1.88/0.76	  ~$less(sK2,sF9) | ~zero_at1(sK0,sK2)),
1.88/0.76	  inference(subsumption_resolution,[],[f221,f139])).
1.88/0.76	tff(f139,plain,(
1.88/0.76	  ~$less(sK2,0)),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f221,plain,(
1.88/0.76	  ~$less(sK2,sF9) | ~zero_at1(sK0,sK2) | $less(sK2,0)),
1.88/0.76	  inference(definition_folding,[],[f145,f219,f218])).
1.88/0.76	tff(f219,plain,(
1.88/0.76	  length1(int,sF8) = sF9),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f145,plain,(
1.88/0.76	  ~$less(sK2,length1(int,t2tb1(sK0))) | ~zero_at1(sK0,sK2) | $less(sK2,0)),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f1735,plain,(
1.88/0.76	  spl22_88 | ~spl22_89 | ~spl22_17 | ~spl22_39),
1.88/0.76	  inference(avatar_split_clause,[],[f631,f532,f350,f1732,f1729])).
1.88/0.76	tff(f1729,plain,(
1.88/0.76	  spl22_88 <=> ! [X0 : $int] : (zero_at1(sF15,X0) | $less(sK7(sF15,X0),X0))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_88])])).
1.88/0.76	tff(f1732,plain,(
1.88/0.76	  spl22_89 <=> sF19 = tb2t(hd(int,sF14))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_89])])).
1.88/0.76	tff(f532,plain,(
1.88/0.76	  spl22_39 <=> sF14 = t2tb1(sF15)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_39])])).
1.88/0.76	tff(f631,plain,(
1.88/0.76	  ( ! [X0 : $int] : (sF19 != tb2t(hd(int,sF14)) | zero_at1(sF15,X0) | $less(sK7(sF15,X0),X0)) ) | (~spl22_17 | ~spl22_39)),
1.88/0.76	  inference(forward_demodulation,[],[f626,f589])).
1.88/0.76	tff(f589,plain,(
1.88/0.76	  ( ! [X0 : $int] : (hd(int,sF14) = nth1(int,X0,sF14)) ) | ~spl22_17),
1.88/0.76	  inference(superposition,[],[f213,f352])).
1.88/0.76	tff(f213,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : $int] : (hd(X0,nil(X0)) = nth1(X0,X1,nil(X0))) )),
1.88/0.76	  inference(definition_unfolding,[],[f181,f162])).
1.88/0.76	tff(f181,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : $int] : (none(X0) = nth1(X0,X1,nil(X0))) )),
1.88/0.76	  inference(cnf_transformation,[],[f109])).
1.88/0.76	tff(f626,plain,(
1.88/0.76	  ( ! [X0 : $int] : (sF19 != tb2t(nth1(int,X0,sF14)) | zero_at1(sF15,X0) | $less(sK7(sF15,X0),X0)) ) | ~spl22_39),
1.88/0.76	  inference(superposition,[],[f261,f534])).
1.88/0.76	tff(f534,plain,(
1.88/0.76	  sF14 = t2tb1(sF15) | ~spl22_39),
1.88/0.76	  inference(avatar_component_clause,[],[f532])).
1.88/0.76	tff(f261,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != sF19 | zero_at1(X0,X1) | $less(sK7(X0,X1),X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f260,f235])).
1.88/0.76	tff(f260,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF18) | zero_at1(X0,X1) | $less(sK7(X0,X1),X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f259,f243])).
1.88/0.76	tff(f259,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF10)) | zero_at1(X0,X1) | $less(sK7(X0,X1),X1)) )),
1.88/0.76	  inference(forward_demodulation,[],[f191,f241])).
1.88/0.76	tff(f191,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | $less(sK7(X0,X1),X1) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(cnf_transformation,[],[f135])).
1.88/0.76	tff(f1704,plain,(
1.88/0.76	  ~spl22_87 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f1561,f485,f1701])).
1.88/0.76	tff(f1701,plain,(
1.88/0.76	  spl22_87 <=> $less($sum(2,sF9),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_87])])).
1.88/0.76	tff(f1561,plain,(
1.88/0.76	  ~$less($sum(2,sF9),0) | ~spl22_33),
1.88/0.76	  inference(superposition,[],[f796,f487])).
1.88/0.76	tff(f796,plain,(
1.88/0.76	  ( ! [X3 : uni,X1 : ty] : (~$less($sum(2,length1(X1,X3)),0)) )),
1.88/0.76	  inference(evaluation,[],[f793])).
1.88/0.76	tff(f793,plain,(
1.88/0.76	  ( ! [X3 : uni,X1 : ty] : (~$less($sum(1,$sum(1,length1(X1,X3))),0)) )),
1.88/0.76	  inference(superposition,[],[f608,f165])).
1.88/0.76	tff(f608,plain,(
1.88/0.76	  ( ! [X3 : ty,X5 : uni] : (~$less($sum(1,length1(X3,X5)),0)) )),
1.88/0.76	  inference(superposition,[],[f171,f165])).
1.88/0.76	tff(f171,plain,(
1.88/0.76	  ( ! [X0 : ty,X1 : uni] : (~$less(length1(X0,X1),0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f77])).
1.88/0.76	tff(f77,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni] : ~$less(length1(X0,X1),0)),
1.88/0.76	  inference(rectify,[],[f57])).
1.88/0.76	tff(f57,plain,(
1.88/0.76	  ! [X0 : ty,X11 : uni] : ~$less(length1(X0,X11),0)),
1.88/0.76	  inference(theory_normalization,[],[f36])).
1.88/0.76	tff(f36,axiom,(
1.88/0.76	  ! [X0 : ty,X11 : uni] : $lesseq(0,length1(X0,X11))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_nonnegative)).
1.88/0.76	tff(f1698,plain,(
1.88/0.76	  ~spl22_85 | spl22_86 | ~spl22_13 | spl22_30 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f1315,f507,f451,f329,f1695,f1691])).
1.88/0.76	tff(f1691,plain,(
1.88/0.76	  spl22_85 <=> sF20 = -1),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_85])])).
1.88/0.76	tff(f1695,plain,(
1.88/0.76	  spl22_86 <=> nth1(int,sK2,sF12) = nth1(int,sF9,sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_86])])).
1.88/0.76	tff(f329,plain,(
1.88/0.76	  spl22_13 <=> sF9 = $sum(sK2,sF20)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_13])])).
1.88/0.76	tff(f451,plain,(
1.88/0.76	  spl22_30 <=> 0 = sK2),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_30])])).
1.88/0.76	tff(f1315,plain,(
1.88/0.76	  nth1(int,sK2,sF12) = nth1(int,sF9,sF11) | sF20 != -1 | (~spl22_13 | spl22_30 | ~spl22_35)),
1.88/0.76	  inference(global_subsumption,[],[f452,f1307])).
1.88/0.76	tff(f1307,plain,(
1.88/0.76	  nth1(int,sK2,sF12) = nth1(int,sF9,sF11) | 0 = sK2 | sF20 != -1 | (~spl22_13 | ~spl22_35)),
1.88/0.76	  inference(constrained_superposition,[],[f692,f331])).
1.88/0.76	tff(f331,plain,(
1.88/0.76	  sF9 = $sum(sK2,sF20) | ~spl22_13),
1.88/0.76	  inference(avatar_component_clause,[],[f329])).
1.88/0.76	tff(f452,plain,(
1.88/0.76	  0 != sK2 | spl22_30),
1.88/0.76	  inference(avatar_component_clause,[],[f451])).
1.88/0.76	tff(f1686,plain,(
1.88/0.76	  ~spl22_83 | spl22_84 | ~spl22_17 | ~spl22_26),
1.88/0.76	  inference(avatar_split_clause,[],[f1268,f410,f350,f1684,f1680])).
1.88/0.76	tff(f1680,plain,(
1.88/0.76	  spl22_83 <=> 0 = $sum(1,sF20)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_83])])).
1.88/0.76	tff(f1684,plain,(
1.88/0.76	  spl22_84 <=> ! [X2 : uni] : sF14 = cons(int,X2,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_84])])).
1.88/0.76	tff(f1268,plain,(
1.88/0.76	  ( ! [X2 : uni] : (sF14 = cons(int,X2,sF12) | 0 != $sum(1,sF20)) ) | (~spl22_17 | ~spl22_26)),
1.88/0.76	  inference(forward_demodulation,[],[f1260,f352])).
1.88/0.76	tff(f1260,plain,(
1.88/0.76	  ( ! [X2 : uni] : (0 != $sum(1,sF20) | nil(int) = cons(int,X2,sF12)) ) | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f607,f412])).
1.88/0.76	tff(f1573,plain,(
1.88/0.76	  ~spl22_82 | ~spl22_26),
1.88/0.76	  inference(avatar_split_clause,[],[f1562,f410,f1570])).
1.88/0.76	tff(f1570,plain,(
1.88/0.76	  spl22_82 <=> $less($sum(2,sF20),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_82])])).
1.88/0.76	tff(f1562,plain,(
1.88/0.76	  ~$less($sum(2,sF20),0) | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f796,f412])).
1.88/0.76	tff(f1549,plain,(
1.88/0.76	  spl22_81 | ~spl22_66),
1.88/0.76	  inference(avatar_split_clause,[],[f960,f953,f1546])).
1.88/0.76	tff(f1546,plain,(
1.88/0.76	  spl22_81 <=> nth1(int,sF20,sF12) = nth1(int,sF9,sF8)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_81])])).
1.88/0.76	tff(f953,plain,(
1.88/0.76	  spl22_66 <=> tb2t(nth1(int,sF20,sF12)) = tb2t(nth1(int,sF9,sF8))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_66])])).
1.88/0.76	tff(f960,plain,(
1.88/0.76	  nth1(int,sF20,sF12) = nth1(int,sF9,sF8) | ~spl22_66),
1.88/0.76	  inference(forward_demodulation,[],[f959,f152])).
1.88/0.76	tff(f152,plain,(
1.88/0.76	  ( ! [X0 : uni] : (t2tb(tb2t(X0)) = X0) )),
1.88/0.76	  inference(cnf_transformation,[],[f65])).
1.88/0.76	tff(f65,plain,(
1.88/0.76	  ! [X0 : uni] : t2tb(tb2t(X0)) = X0),
1.88/0.76	  inference(rectify,[],[f6])).
1.88/0.76	tff(f6,axiom,(
1.88/0.76	  ! [X9 : uni] : t2tb(tb2t(X9)) = X9),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR)).
1.88/0.76	tff(f959,plain,(
1.88/0.76	  nth1(int,sF20,sF12) = t2tb(tb2t(nth1(int,sF9,sF8))) | ~spl22_66),
1.88/0.76	  inference(superposition,[],[f152,f955])).
1.88/0.76	tff(f955,plain,(
1.88/0.76	  tb2t(nth1(int,sF20,sF12)) = tb2t(nth1(int,sF9,sF8)) | ~spl22_66),
1.88/0.76	  inference(avatar_component_clause,[],[f953])).
1.88/0.76	tff(f1542,plain,(
1.88/0.76	  ~spl22_79 | ~spl22_80 | ~spl22_22 | spl22_59),
1.88/0.76	  inference(avatar_split_clause,[],[f820,f814,f374,f1539,f1535])).
1.88/0.76	tff(f1535,plain,(
1.88/0.76	  spl22_79 <=> sF9 = length1(int,sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_79])])).
1.88/0.76	tff(f1539,plain,(
1.88/0.76	  spl22_80 <=> sK2 = sK6(sK5)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_80])])).
1.88/0.76	tff(f814,plain,(
1.88/0.76	  spl22_59 <=> $less(sK6(sK5),length1(int,sF11))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_59])])).
1.88/0.76	tff(f820,plain,(
1.88/0.76	  sK2 != sK6(sK5) | sF9 != length1(int,sF11) | (~spl22_22 | spl22_59)),
1.88/0.76	  inference(constrained_resolution,[],[f815,f375])).
1.88/0.76	tff(f815,plain,(
1.88/0.76	  ~$less(sK6(sK5),length1(int,sF11)) | spl22_59),
1.88/0.76	  inference(avatar_component_clause,[],[f814])).
1.88/0.76	tff(f1527,plain,(
1.88/0.76	  ~spl22_77 | spl22_78 | spl22_11 | ~spl22_37),
1.88/0.76	  inference(avatar_split_clause,[],[f1026,f519,f318,f1524,f1520])).
1.88/0.76	tff(f1520,plain,(
1.88/0.76	  spl22_77 <=> $less(sK6(sK0),sK2)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_77])])).
1.88/0.76	tff(f1524,plain,(
1.88/0.76	  spl22_78 <=> $less(sK6(sK0),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_78])])).
1.88/0.76	tff(f1026,plain,(
1.88/0.76	  $less(sK6(sK0),0) | ~$less(sK6(sK0),sK2) | (spl22_11 | ~spl22_37)),
1.88/0.76	  inference(global_subsumption,[],[f320,f1025])).
1.88/0.76	tff(f1025,plain,(
1.88/0.76	  no_zero1(sK0) | $less(sK6(sK0),0) | ~$less(sK6(sK0),sK2) | ~spl22_37),
1.88/0.76	  inference(forward_demodulation,[],[f1024,f521])).
1.88/0.76	tff(f1024,plain,(
1.88/0.76	  $less(sK6(sK0),0) | ~$less(sK6(sK0),sK2) | no_zero1(tb2t1(sF8)) | ~spl22_37),
1.88/0.76	  inference(forward_demodulation,[],[f1023,f521])).
1.88/0.76	tff(f1023,plain,(
1.88/0.76	  ~$less(sK6(sK0),sK2) | $less(sK6(tb2t1(sF8)),0) | no_zero1(tb2t1(sF8)) | ~spl22_37),
1.88/0.76	  inference(forward_demodulation,[],[f1001,f521])).
1.88/0.76	tff(f1001,plain,(
1.88/0.76	  ~$less(sK6(tb2t1(sF8)),sK2) | $less(sK6(tb2t1(sF8)),0) | no_zero1(tb2t1(sF8))),
1.88/0.76	  inference(trivial_inequality_removal,[],[f999])).
1.88/0.76	tff(f999,plain,(
1.88/0.76	  sF19 != sF19 | ~$less(sK6(tb2t1(sF8)),sK2) | $less(sK6(tb2t1(sF8)),0) | no_zero1(tb2t1(sF8))),
1.88/0.76	  inference(superposition,[],[f236,f538])).
1.88/0.76	tff(f1516,plain,(
1.88/0.76	  ~spl22_75 | ~spl22_76 | ~spl22_13 | ~spl22_52 | spl22_55),
1.88/0.76	  inference(avatar_split_clause,[],[f894,f766,f752,f329,f1513,f1509])).
1.88/0.76	tff(f1509,plain,(
1.88/0.76	  spl22_75 <=> sF20 = length1(int,sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_75])])).
1.88/0.76	tff(f1513,plain,(
1.88/0.76	  spl22_76 <=> 1 = sK2),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_76])])).
1.88/0.76	tff(f766,plain,(
1.88/0.76	  spl22_55 <=> sF9 = sF20),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_55])])).
1.88/0.76	tff(f894,plain,(
1.88/0.76	  1 != sK2 | sF20 != length1(int,sF11) | (~spl22_13 | ~spl22_52 | spl22_55)),
1.88/0.76	  inference(global_subsumption,[],[f768,f771])).
1.88/0.76	tff(f771,plain,(
1.88/0.76	  sF9 = sF20 | 1 != sK2 | sF20 != length1(int,sF11) | (~spl22_13 | ~spl22_52)),
1.88/0.76	  inference(constrained_superposition,[],[f331,f754])).
1.88/0.76	tff(f768,plain,(
1.88/0.76	  sF9 != sF20 | spl22_55),
1.88/0.76	  inference(avatar_component_clause,[],[f766])).
1.88/0.76	tff(f1365,plain,(
1.88/0.76	  spl22_74 | spl22_11 | ~spl22_14 | ~spl22_36),
1.88/0.76	  inference(avatar_split_clause,[],[f891,f512,f335,f318,f1362])).
1.88/0.76	tff(f1362,plain,(
1.88/0.76	  spl22_74 <=> sF18 = nth1(int,sK6(sK0),sF8)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_74])])).
1.88/0.76	tff(f512,plain,(
1.88/0.76	  spl22_36 <=> sF18 = t2tb(sF19)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_36])])).
1.88/0.76	tff(f891,plain,(
1.88/0.76	  sF18 = nth1(int,sK6(sK0),sF8) | (spl22_11 | ~spl22_14 | ~spl22_36)),
1.88/0.76	  inference(global_subsumption,[],[f320,f831])).
1.88/0.76	tff(f831,plain,(
1.88/0.76	  sF18 = nth1(int,sK6(sK0),sF8) | no_zero1(sK0) | (~spl22_14 | ~spl22_36)),
1.88/0.76	  inference(superposition,[],[f544,f337])).
1.88/0.76	tff(f544,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (nth1(int,sK6(X0),t2tb1(X0)) = sF18 | no_zero1(X0)) ) | ~spl22_36),
1.88/0.76	  inference(forward_demodulation,[],[f542,f514])).
1.88/0.76	tff(f514,plain,(
1.88/0.76	  sF18 = t2tb(sF19) | ~spl22_36),
1.88/0.76	  inference(avatar_component_clause,[],[f512])).
1.88/0.76	tff(f542,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (nth1(int,sK6(X0),t2tb1(X0)) = t2tb(sF19) | no_zero1(X0)) )),
1.88/0.76	  inference(superposition,[],[f152,f249])).
1.88/0.76	tff(f1347,plain,(
1.88/0.76	  spl22_73 | ~spl22_28 | ~spl22_36 | spl22_50),
1.88/0.76	  inference(avatar_split_clause,[],[f841,f728,f512,f425,f1344])).
1.88/0.76	tff(f1344,plain,(
1.88/0.76	  spl22_73 <=> sF18 = nth1(int,sK6(sK1),sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_73])])).
1.88/0.76	tff(f841,plain,(
1.88/0.76	  sF18 = nth1(int,sK6(sK1),sF12) | (~spl22_28 | ~spl22_36 | spl22_50)),
1.88/0.76	  inference(global_subsumption,[],[f729,f832])).
1.88/0.76	tff(f832,plain,(
1.88/0.76	  sF18 = nth1(int,sK6(sK1),sF12) | no_zero1(sK1) | (~spl22_28 | ~spl22_36)),
1.88/0.76	  inference(superposition,[],[f544,f427])).
1.88/0.76	tff(f1324,plain,(
1.88/0.76	  spl22_72 | ~spl22_36 | ~spl22_57),
1.88/0.76	  inference(avatar_split_clause,[],[f823,f803,f512,f1321])).
1.88/0.76	tff(f1321,plain,(
1.88/0.76	  spl22_72 <=> sF18 = nth1(int,sK6(sK5),sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_72])])).
1.88/0.76	tff(f803,plain,(
1.88/0.76	  spl22_57 <=> sF19 = tb2t(nth1(int,sK6(sK5),sF11))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_57])])).
1.88/0.76	tff(f823,plain,(
1.88/0.76	  sF18 = nth1(int,sK6(sK5),sF11) | (~spl22_36 | ~spl22_57)),
1.88/0.76	  inference(forward_demodulation,[],[f822,f514])).
1.88/0.76	tff(f822,plain,(
1.88/0.76	  t2tb(sF19) = nth1(int,sK6(sK5),sF11) | ~spl22_57),
1.88/0.76	  inference(superposition,[],[f152,f805])).
1.88/0.76	tff(f805,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK6(sK5),sF11)) | ~spl22_57),
1.88/0.76	  inference(avatar_component_clause,[],[f803])).
1.88/0.76	tff(f1234,plain,(
1.88/0.76	  spl22_71 | ~spl22_9 | ~spl22_20 | ~spl22_45),
1.88/0.76	  inference(avatar_split_clause,[],[f1209,f701,f365,f309,f1231])).
1.88/0.76	tff(f1231,plain,(
1.88/0.76	  spl22_71 <=> zero_at1(sK1,0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_71])])).
1.88/0.76	tff(f1209,plain,(
1.88/0.76	  zero_at1(sK1,0) | (~spl22_9 | ~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(global_subsumption,[],[f1169,f1208])).
1.88/0.76	tff(f1208,plain,(
1.88/0.76	  $less(sK7(sK1,0),0) | zero_at1(sK1,0) | (~spl22_9 | ~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1207,f311])).
1.88/0.76	tff(f1207,plain,(
1.88/0.76	  zero_at1(sK1,0) | $less(sK7(tb2t1(sF12),0),0) | (~spl22_9 | ~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1206,f311])).
1.88/0.76	tff(f1206,plain,(
1.88/0.76	  zero_at1(tb2t1(sF12),0) | $less(sK7(tb2t1(sF12),0),0) | (~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1205])).
1.88/0.76	tff(f1205,plain,(
1.88/0.76	  sF19 != sF19 | zero_at1(tb2t1(sF12),0) | $less(sK7(tb2t1(sF12),0),0) | (~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1190,f367])).
1.88/0.76	tff(f1190,plain,(
1.88/0.76	  tb2t(sF18) != sF19 | zero_at1(tb2t1(sF12),0) | $less(sK7(tb2t1(sF12),0),0) | ~spl22_45),
1.88/0.76	  inference(superposition,[],[f619,f703])).
1.88/0.76	tff(f619,plain,(
1.88/0.76	  ( ! [X0 : uni,X1 : $int] : (sF19 != tb2t(nth1(int,X1,X0)) | zero_at1(tb2t1(X0),X1) | $less(sK7(tb2t1(X0),X1),X1)) )),
1.88/0.76	  inference(superposition,[],[f261,f156])).
1.88/0.76	tff(f1169,plain,(
1.88/0.76	  ~$less(sK7(sK1,0),0) | zero_at1(sK1,0) | (~spl22_9 | ~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1168,f311])).
1.88/0.76	tff(f1168,plain,(
1.88/0.76	  zero_at1(sK1,0) | ~$less(sK7(tb2t1(sF12),0),0) | (~spl22_9 | ~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1167,f311])).
1.88/0.76	tff(f1167,plain,(
1.88/0.76	  zero_at1(tb2t1(sF12),0) | ~$less(sK7(tb2t1(sF12),0),0) | (~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1166])).
1.88/0.76	tff(f1166,plain,(
1.88/0.76	  sF19 != sF19 | zero_at1(tb2t1(sF12),0) | ~$less(sK7(tb2t1(sF12),0),0) | (~spl22_20 | ~spl22_45)),
1.88/0.76	  inference(forward_demodulation,[],[f1151,f367])).
1.88/0.76	tff(f1151,plain,(
1.88/0.76	  tb2t(sF18) != sF19 | zero_at1(tb2t1(sF12),0) | ~$less(sK7(tb2t1(sF12),0),0) | ~spl22_45),
1.88/0.76	  inference(superposition,[],[f612,f703])).
1.88/0.76	tff(f612,plain,(
1.88/0.76	  ( ! [X0 : uni,X1 : $int] : (sF19 != tb2t(nth1(int,X1,X0)) | zero_at1(tb2t1(X0),X1) | ~$less(sK7(tb2t1(X0),X1),0)) )),
1.88/0.76	  inference(superposition,[],[f258,f156])).
1.88/0.76	tff(f258,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != sF19 | zero_at1(X0,X1) | ~$less(sK7(X0,X1),0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f257,f235])).
1.88/0.76	tff(f257,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(sF18) | zero_at1(X0,X1) | ~$less(sK7(X0,X1),0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f256,f243])).
1.88/0.76	tff(f256,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (tb2t(nth1(int,X1,t2tb1(X0))) != tb2t(some(int,sF10)) | zero_at1(X0,X1) | ~$less(sK7(X0,X1),0)) )),
1.88/0.76	  inference(forward_demodulation,[],[f192,f241])).
1.88/0.76	tff(f192,plain,(
1.88/0.76	  ( ! [X0 : list_int,X1 : $int] : (zero_at1(X0,X1) | ~$less(sK7(X0,X1),0) | tb2t(some(int,t2tb2(0))) != tb2t(nth1(int,X1,t2tb1(X0)))) )),
1.88/0.76	  inference(cnf_transformation,[],[f135])).
1.88/0.76	tff(f1137,plain,(
1.88/0.76	  spl22_70 | ~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67),
1.88/0.76	  inference(avatar_split_clause,[],[f1115,f1029,f374,f365,f335,f1134])).
1.88/0.76	tff(f1115,plain,(
1.88/0.76	  $less(sK7(sK0,sK2),sK2) | (~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67)),
1.88/0.76	  inference(global_subsumption,[],[f245,f375,f1114])).
1.88/0.76	tff(f1114,plain,(
1.88/0.76	  zero_at1(sK0,sK2) | $less(sK7(sK0,sK2),sK2) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1113])).
1.88/0.76	tff(f1113,plain,(
1.88/0.76	  sF19 != sF19 | zero_at1(sK0,sK2) | $less(sK7(sK0,sK2),sK2) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(forward_demodulation,[],[f1108,f367])).
1.88/0.76	tff(f1108,plain,(
1.88/0.76	  tb2t(sF18) != sF19 | zero_at1(sK0,sK2) | $less(sK7(sK0,sK2),sK2) | (~spl22_14 | ~spl22_67)),
1.88/0.76	  inference(superposition,[],[f620,f1031])).
1.88/0.76	tff(f620,plain,(
1.88/0.76	  ( ! [X2 : $int] : (sF19 != tb2t(nth1(int,X2,sF8)) | zero_at1(sK0,X2) | $less(sK7(sK0,X2),X2)) ) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f261,f337])).
1.88/0.76	tff(f1106,plain,(
1.88/0.76	  ~spl22_69 | ~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67),
1.88/0.76	  inference(avatar_split_clause,[],[f1092,f1029,f374,f365,f335,f1103])).
1.88/0.76	tff(f1092,plain,(
1.88/0.76	  ~$less(sK7(sK0,sK2),0) | (~spl22_14 | ~spl22_20 | ~spl22_22 | ~spl22_67)),
1.88/0.76	  inference(global_subsumption,[],[f245,f375,f1091])).
1.88/0.76	tff(f1091,plain,(
1.88/0.76	  zero_at1(sK0,sK2) | ~$less(sK7(sK0,sK2),0) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f1090])).
1.88/0.76	tff(f1090,plain,(
1.88/0.76	  sF19 != sF19 | zero_at1(sK0,sK2) | ~$less(sK7(sK0,sK2),0) | (~spl22_14 | ~spl22_20 | ~spl22_67)),
1.88/0.76	  inference(forward_demodulation,[],[f1085,f367])).
1.88/0.76	tff(f1085,plain,(
1.88/0.76	  tb2t(sF18) != sF19 | zero_at1(sK0,sK2) | ~$less(sK7(sK0,sK2),0) | (~spl22_14 | ~spl22_67)),
1.88/0.76	  inference(superposition,[],[f613,f1031])).
1.88/0.76	tff(f613,plain,(
1.88/0.76	  ( ! [X2 : $int] : (sF19 != tb2t(nth1(int,X2,sF8)) | zero_at1(sK0,X2) | ~$less(sK7(sK0,X2),0)) ) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f258,f337])).
1.88/0.76	tff(f1079,plain,(
1.88/0.76	  ~spl22_68 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f790,f485,f1076])).
1.88/0.76	tff(f1076,plain,(
1.88/0.76	  spl22_68 <=> $less($sum(1,sF9),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_68])])).
1.88/0.76	tff(f790,plain,(
1.88/0.76	  ~$less($sum(1,sF9),0) | ~spl22_33),
1.88/0.76	  inference(superposition,[],[f608,f487])).
1.88/0.76	tff(f1032,plain,(
1.88/0.76	  spl22_67 | ~spl22_36 | ~spl22_53),
1.88/0.76	  inference(avatar_split_clause,[],[f780,f757,f512,f1029])).
1.88/0.76	tff(f757,plain,(
1.88/0.76	  spl22_53 <=> sF19 = tb2t(nth1(int,sK2,sF8))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_53])])).
1.88/0.76	tff(f780,plain,(
1.88/0.76	  sF18 = nth1(int,sK2,sF8) | (~spl22_36 | ~spl22_53)),
1.88/0.76	  inference(forward_demodulation,[],[f776,f514])).
1.88/0.76	tff(f776,plain,(
1.88/0.76	  t2tb(sF19) = nth1(int,sK2,sF8) | ~spl22_53),
1.88/0.76	  inference(superposition,[],[f152,f759])).
1.88/0.76	tff(f759,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK2,sF8)) | ~spl22_53),
1.88/0.76	  inference(avatar_component_clause,[],[f757])).
1.88/0.76	tff(f956,plain,(
1.88/0.76	  spl22_66 | ~spl22_9 | ~spl22_13 | ~spl22_19 | spl22_29),
1.88/0.76	  inference(avatar_split_clause,[],[f644,f431,f360,f329,f309,f953])).
1.88/0.76	tff(f360,plain,(
1.88/0.76	  spl22_19 <=> t2tb1(sK1) = sF16),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_19])])).
1.88/0.76	tff(f431,plain,(
1.88/0.76	  spl22_29 <=> $less(sF20,0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_29])])).
1.88/0.76	tff(f644,plain,(
1.88/0.76	  tb2t(nth1(int,sF20,sF12)) = tb2t(nth1(int,sF9,sF8)) | (~spl22_9 | ~spl22_13 | ~spl22_19 | spl22_29)),
1.88/0.76	  inference(global_subsumption,[],[f433,f637])).
1.88/0.76	tff(f637,plain,(
1.88/0.76	  tb2t(nth1(int,sF20,sF12)) = tb2t(nth1(int,sF9,sF8)) | $less(sF20,0) | (~spl22_9 | ~spl22_13 | ~spl22_19)),
1.88/0.76	  inference(superposition,[],[f402,f331])).
1.88/0.76	tff(f402,plain,(
1.88/0.76	  ( ! [X6 : $int] : (tb2t(nth1(int,$sum(sK2,X6),sF8)) = tb2t(nth1(int,X6,sF12)) | $less(X6,0)) ) | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(backward_demodulation,[],[f232,f400])).
1.88/0.76	tff(f400,plain,(
1.88/0.76	  sF12 = sF16 | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(backward_demodulation,[],[f362,f398])).
1.88/0.76	tff(f398,plain,(
1.88/0.76	  t2tb1(sK1) = sF12 | ~spl22_9),
1.88/0.76	  inference(superposition,[],[f156,f311])).
1.88/0.76	tff(f362,plain,(
1.88/0.76	  t2tb1(sK1) = sF16 | ~spl22_19),
1.88/0.76	  inference(avatar_component_clause,[],[f360])).
1.88/0.76	tff(f232,plain,(
1.88/0.76	  ( ! [X6 : $int] : (tb2t(nth1(int,X6,sF16)) = tb2t(nth1(int,$sum(sK2,X6),sF8)) | $less(X6,0)) )),
1.88/0.76	  inference(definition_folding,[],[f138,f218,f231])).
1.88/0.76	tff(f231,plain,(
1.88/0.76	  t2tb1(sK1) = sF16),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f138,plain,(
1.88/0.76	  ( ! [X6 : $int] : (tb2t(nth1(int,X6,t2tb1(sK1))) = tb2t(nth1(int,$sum(sK2,X6),t2tb1(sK0))) | $less(X6,0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f433,plain,(
1.88/0.76	  ~$less(sF20,0) | spl22_29),
1.88/0.76	  inference(avatar_component_clause,[],[f431])).
1.88/0.76	tff(f948,plain,(
1.88/0.76	  spl22_65 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f591,f507,f945])).
1.88/0.76	tff(f591,plain,(
1.88/0.76	  some(list(int),sF11) = tl(int,sF12) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f163,f509])).
1.88/0.76	tff(f163,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (tl(X0,cons(X0,X1,X2)) = some(list(X0),X2)) )),
1.88/0.76	  inference(cnf_transformation,[],[f73])).
1.88/0.76	tff(f73,plain,(
1.88/0.76	  ! [X0 : ty] : (tl(X0,nil(X0)) = none(list(X0)) & ! [X1 : uni,X2 : uni] : tl(X0,cons(X0,X1,X2)) = some(list(X0),X2))),
1.88/0.76	  inference(rectify,[],[f23])).
1.88/0.76	tff(f23,axiom,(
1.88/0.76	  ! [X0 : ty] : (tl(X0,nil(X0)) = none(list(X0)) & ! [X4 : uni,X5 : uni] : tl(X0,cons(X0,X4,X5)) = some(list(X0),X5))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',tl_def)).
1.88/0.76	tff(f943,plain,(
1.88/0.76	  spl22_64 | ~spl22_39 | ~spl22_47),
1.88/0.76	  inference(avatar_split_clause,[],[f937,f712,f532,f940])).
1.88/0.76	tff(f940,plain,(
1.88/0.76	  spl22_64 <=> no_zero1(sF15)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_64])])).
1.88/0.76	tff(f712,plain,(
1.88/0.76	  spl22_47 <=> 0 = length1(int,sF14)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_47])])).
1.88/0.76	tff(f937,plain,(
1.88/0.76	  no_zero1(sF15) | (~spl22_39 | ~spl22_47)),
1.88/0.76	  inference(trivial_inequality_removal,[],[f936])).
1.88/0.76	tff(f936,plain,(
1.88/0.76	  0 != 0 | no_zero1(sF15) | (~spl22_39 | ~spl22_47)),
1.88/0.76	  inference(forward_demodulation,[],[f932,f714])).
1.88/0.76	tff(f714,plain,(
1.88/0.76	  0 = length1(int,sF14) | ~spl22_47),
1.88/0.76	  inference(avatar_component_clause,[],[f712])).
1.88/0.76	tff(f932,plain,(
1.88/0.76	  0 != length1(int,sF14) | no_zero1(sF15) | ~spl22_39),
1.88/0.76	  inference(superposition,[],[f551,f534])).
1.88/0.76	tff(f919,plain,(
1.88/0.76	  spl22_43 | spl22_11 | ~spl22_14 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f893,f485,f335,f318,f649])).
1.88/0.76	tff(f649,plain,(
1.88/0.76	  spl22_43 <=> $less(sK6(sK0),sF9)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_43])])).
1.88/0.76	tff(f893,plain,(
1.88/0.76	  $less(sK6(sK0),sF9) | (spl22_11 | ~spl22_14 | ~spl22_33)),
1.88/0.76	  inference(global_subsumption,[],[f553])).
1.88/0.76	tff(f553,plain,(
1.88/0.76	  $less(sK6(sK0),sF9) | (spl22_11 | ~spl22_14 | ~spl22_33)),
1.88/0.76	  inference(global_subsumption,[],[f320,f552])).
1.88/0.76	tff(f552,plain,(
1.88/0.76	  $less(sK6(sK0),sF9) | no_zero1(sK0) | (~spl22_14 | ~spl22_33)),
1.88/0.76	  inference(forward_demodulation,[],[f548,f487])).
1.88/0.76	tff(f548,plain,(
1.88/0.76	  $less(sK6(sK0),length1(int,sF8)) | no_zero1(sK0) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f168,f337])).
1.88/0.76	tff(f890,plain,(
1.88/0.76	  spl22_63 | ~spl22_13 | ~spl22_22 | ~spl22_55),
1.88/0.76	  inference(avatar_split_clause,[],[f867,f766,f374,f329,f887])).
1.88/0.76	tff(f887,plain,(
1.88/0.76	  spl22_63 <=> $less(0,sF9)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_63])])).
1.88/0.76	tff(f867,plain,(
1.88/0.76	  $less(0,sF9) | (~spl22_13 | ~spl22_22 | ~spl22_55)),
1.88/0.76	  inference(backward_demodulation,[],[f375,f862])).
1.88/0.76	tff(f862,plain,(
1.88/0.76	  0 = sK2 | (~spl22_13 | ~spl22_55)),
1.88/0.76	  inference(cancellation,[],[f853])).
1.88/0.76	tff(f853,plain,(
1.88/0.76	  sF9 = $sum(sK2,sF9) | (~spl22_13 | ~spl22_55)),
1.88/0.76	  inference(backward_demodulation,[],[f331,f767])).
1.88/0.76	tff(f767,plain,(
1.88/0.76	  sF9 = sF20 | ~spl22_55),
1.88/0.76	  inference(avatar_component_clause,[],[f766])).
1.88/0.76	tff(f885,plain,(
1.88/0.76	  ~spl22_62 | ~spl22_13 | spl22_21 | ~spl22_55),
1.88/0.76	  inference(avatar_split_clause,[],[f866,f766,f370,f329,f882])).
1.88/0.76	tff(f370,plain,(
1.88/0.76	  spl22_21 <=> zero_at1(sK0,sK2)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_21])])).
1.88/0.76	tff(f866,plain,(
1.88/0.76	  ~zero_at1(sK0,0) | (~spl22_13 | spl22_21 | ~spl22_55)),
1.88/0.76	  inference(backward_demodulation,[],[f372,f862])).
1.88/0.76	tff(f372,plain,(
1.88/0.76	  ~zero_at1(sK0,sK2) | spl22_21),
1.88/0.76	  inference(avatar_component_clause,[],[f370])).
1.88/0.76	tff(f880,plain,(
1.88/0.76	  spl22_30 | ~spl22_13 | ~spl22_55),
1.88/0.76	  inference(avatar_split_clause,[],[f862,f766,f329,f451])).
1.88/0.76	tff(f852,plain,(
1.88/0.76	  ~spl22_60 | ~spl22_61),
1.88/0.76	  inference(avatar_split_clause,[],[f565,f849,f845])).
1.88/0.76	tff(f845,plain,(
1.88/0.76	  spl22_60 <=> $less(0,sK2)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_60])])).
1.88/0.76	tff(f849,plain,(
1.88/0.76	  spl22_61 <=> sF19 = tb2t(nth1(int,0,sF8))),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_61])])).
1.88/0.76	tff(f565,plain,(
1.88/0.76	  sF19 != tb2t(nth1(int,0,sF8)) | ~$less(0,sK2)),
1.88/0.76	  inference(interpreted_simplification,[],[f564])).
1.88/0.76	tff(f564,plain,(
1.88/0.76	  sF19 != tb2t(nth1(int,0,sF8)) | ~$less(0,sK2) | $less(0,0)),
1.88/0.76	  inference(instantiation,[],[f236])).
1.88/0.76	tff(f819,plain,(
1.88/0.76	  spl22_56 | ~spl22_15 | spl22_59),
1.88/0.76	  inference(avatar_split_clause,[],[f818,f814,f340,f799])).
1.88/0.76	tff(f799,plain,(
1.88/0.76	  spl22_56 <=> no_zero1(sK5)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_56])])).
1.88/0.76	tff(f340,plain,(
1.88/0.76	  spl22_15 <=> t2tb1(sK5) = sF11),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_15])])).
1.88/0.76	tff(f818,plain,(
1.88/0.76	  no_zero1(sK5) | (~spl22_15 | spl22_59)),
1.88/0.76	  inference(subsumption_resolution,[],[f550,f815])).
1.88/0.76	tff(f550,plain,(
1.88/0.76	  $less(sK6(sK5),length1(int,sF11)) | no_zero1(sK5) | ~spl22_15),
1.88/0.76	  inference(superposition,[],[f168,f342])).
1.88/0.76	tff(f342,plain,(
1.88/0.76	  t2tb1(sK5) = sF11 | ~spl22_15),
1.88/0.76	  inference(avatar_component_clause,[],[f340])).
1.88/0.76	tff(f817,plain,(
1.88/0.76	  spl22_59 | ~spl22_15 | spl22_56),
1.88/0.76	  inference(avatar_split_clause,[],[f807,f799,f340,f814])).
1.88/0.76	tff(f807,plain,(
1.88/0.76	  $less(sK6(sK5),length1(int,sF11)) | (~spl22_15 | spl22_56)),
1.88/0.76	  inference(subsumption_resolution,[],[f550,f800])).
1.88/0.76	tff(f800,plain,(
1.88/0.76	  ~no_zero1(sK5) | spl22_56),
1.88/0.76	  inference(avatar_component_clause,[],[f799])).
1.88/0.76	tff(f812,plain,(
1.88/0.76	  ~spl22_58 | ~spl22_26),
1.88/0.76	  inference(avatar_split_clause,[],[f789,f410,f809])).
1.88/0.76	tff(f809,plain,(
1.88/0.76	  spl22_58 <=> $less($sum(1,sF20),0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_58])])).
1.88/0.76	tff(f789,plain,(
1.88/0.76	  ~$less($sum(1,sF20),0) | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f608,f412])).
1.88/0.76	tff(f806,plain,(
1.88/0.76	  spl22_56 | spl22_57 | ~spl22_15),
1.88/0.76	  inference(avatar_split_clause,[],[f541,f340,f803,f799])).
1.88/0.76	tff(f541,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK6(sK5),sF11)) | no_zero1(sK5) | ~spl22_15),
1.88/0.76	  inference(superposition,[],[f249,f342])).
1.88/0.76	tff(f769,plain,(
1.88/0.76	  ~spl22_54 | ~spl22_55 | spl22_43 | ~spl22_51),
1.88/0.76	  inference(avatar_split_clause,[],[f748,f732,f649,f766,f762])).
1.88/0.76	tff(f762,plain,(
1.88/0.76	  spl22_54 <=> sK0 = sK1),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_54])])).
1.88/0.76	tff(f748,plain,(
1.88/0.76	  sF9 != sF20 | sK0 != sK1 | (spl22_43 | ~spl22_51)),
1.88/0.76	  inference(constrained_resolution,[],[f734,f650])).
1.88/0.76	tff(f650,plain,(
1.88/0.76	  ~$less(sK6(sK0),sF9) | spl22_43),
1.88/0.76	  inference(avatar_component_clause,[],[f649])).
1.88/0.76	tff(f760,plain,(
1.88/0.76	  spl22_53 | ~spl22_9 | ~spl22_12 | ~spl22_19 | ~spl22_20 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f643,f507,f365,f360,f324,f309,f757])).
1.88/0.76	tff(f324,plain,(
1.88/0.76	  spl22_12 <=> sF18 = some(int,sF10)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_12])])).
1.88/0.76	tff(f643,plain,(
1.88/0.76	  sF19 = tb2t(nth1(int,sK2,sF8)) | (~spl22_9 | ~spl22_12 | ~spl22_19 | ~spl22_20 | ~spl22_35)),
1.88/0.76	  inference(forward_demodulation,[],[f642,f367])).
1.88/0.76	tff(f642,plain,(
1.88/0.76	  tb2t(sF18) = tb2t(nth1(int,sK2,sF8)) | (~spl22_9 | ~spl22_12 | ~spl22_19 | ~spl22_35)),
1.88/0.76	  inference(forward_demodulation,[],[f641,f604])).
1.88/0.76	tff(f604,plain,(
1.88/0.76	  sF18 = nth1(int,0,sF12) | (~spl22_12 | ~spl22_35)),
1.88/0.76	  inference(forward_demodulation,[],[f602,f326])).
1.88/0.76	tff(f326,plain,(
1.88/0.76	  sF18 = some(int,sF10) | ~spl22_12),
1.88/0.76	  inference(avatar_component_clause,[],[f324])).
1.88/0.76	tff(f602,plain,(
1.88/0.76	  some(int,sF10) = nth1(int,0,sF12) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f216,f509])).
1.88/0.76	tff(f641,plain,(
1.88/0.76	  tb2t(nth1(int,0,sF12)) = tb2t(nth1(int,sK2,sF8)) | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(evaluation,[],[f636])).
1.88/0.76	tff(f636,plain,(
1.88/0.76	  tb2t(nth1(int,$sum(sK2,0),sF8)) = tb2t(nth1(int,0,sF12)) | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(interpreted_simplification,[],[f635])).
1.88/0.76	tff(f635,plain,(
1.88/0.76	  tb2t(nth1(int,$sum(sK2,0),sF8)) = tb2t(nth1(int,0,sF12)) | $less(0,0) | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(instantiation,[],[f402])).
1.88/0.76	tff(f755,plain,(
1.88/0.76	  spl22_52 | ~spl22_26 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f609,f507,f410,f752])).
1.88/0.76	tff(f609,plain,(
1.88/0.76	  sF20 = $sum(1,length1(int,sF11)) | (~spl22_26 | ~spl22_35)),
1.88/0.76	  inference(forward_demodulation,[],[f606,f412])).
1.88/0.76	tff(f606,plain,(
1.88/0.76	  length1(int,sF12) = $sum(1,length1(int,sF11)) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f165,f509])).
1.88/0.76	tff(f735,plain,(
1.88/0.76	  spl22_50 | spl22_51 | ~spl22_26 | ~spl22_28),
1.88/0.76	  inference(avatar_split_clause,[],[f554,f425,f410,f732,f728])).
1.88/0.76	tff(f554,plain,(
1.88/0.76	  $less(sK6(sK1),sF20) | no_zero1(sK1) | (~spl22_26 | ~spl22_28)),
1.88/0.76	  inference(forward_demodulation,[],[f549,f412])).
1.88/0.76	tff(f549,plain,(
1.88/0.76	  $less(sK6(sK1),length1(int,sF12)) | no_zero1(sK1) | ~spl22_28),
1.88/0.76	  inference(superposition,[],[f168,f427])).
1.88/0.76	tff(f726,plain,(
1.88/0.76	  spl22_49 | ~spl22_16 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f597,f507,f345,f723])).
1.88/0.76	tff(f723,plain,(
1.88/0.76	  spl22_49 <=> sF10 = cons_proj_11(int,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_49])])).
1.88/0.76	tff(f345,plain,(
1.88/0.76	  spl22_16 <=> sort1(int,sF10)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_16])])).
1.88/0.76	tff(f597,plain,(
1.88/0.76	  sF10 = cons_proj_11(int,sF12) | (~spl22_16 | ~spl22_35)),
1.88/0.76	  inference(global_subsumption,[],[f347,f595])).
1.88/0.76	tff(f595,plain,(
1.88/0.76	  sF10 = cons_proj_11(int,sF12) | ~sort1(int,sF10) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f201,f509])).
1.88/0.76	tff(f201,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1)) )),
1.88/0.76	  inference(cnf_transformation,[],[f121])).
1.88/0.76	tff(f121,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni,X2 : uni] : (cons_proj_11(X0,cons(X0,X1,X2)) = X1 | ~sort1(X0,X1))),
1.88/0.76	  inference(ennf_transformation,[],[f1])).
1.88/0.76	tff(f1,axiom,(
1.88/0.76	  ! [X0 : ty,X1 : uni,X2 : uni] : (sort1(X0,X1) => cons_proj_11(X0,cons(X0,X1,X2)) = X1)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cons_proj_1_def1)).
1.88/0.76	tff(f347,plain,(
1.88/0.76	  sort1(int,sF10) | ~spl22_16),
1.88/0.76	  inference(avatar_component_clause,[],[f345])).
1.88/0.76	tff(f721,plain,(
1.88/0.76	  spl22_48 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f529,f507,f718])).
1.88/0.76	tff(f718,plain,(
1.88/0.76	  spl22_48 <=> sF11 = cons_proj_21(int,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_48])])).
1.88/0.76	tff(f529,plain,(
1.88/0.76	  sF11 = cons_proj_21(int,sF12) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f197,f509])).
1.88/0.76	tff(f715,plain,(
1.88/0.76	  spl22_47 | ~spl22_17),
1.88/0.76	  inference(avatar_split_clause,[],[f491,f350,f712])).
1.88/0.76	tff(f491,plain,(
1.88/0.76	  0 = length1(int,sF14) | ~spl22_17),
1.88/0.76	  inference(superposition,[],[f166,f352])).
1.88/0.76	tff(f166,plain,(
1.88/0.76	  ( ! [X0 : ty] : (0 = length1(X0,nil(X0))) )),
1.88/0.76	  inference(cnf_transformation,[],[f74])).
1.88/0.76	tff(f709,plain,(
1.88/0.76	  ~spl22_46 | ~spl22_22 | spl22_43),
1.88/0.76	  inference(avatar_split_clause,[],[f698,f649,f374,f706])).
1.88/0.76	tff(f706,plain,(
1.88/0.76	  spl22_46 <=> sK2 = sK6(sK0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_46])])).
1.88/0.76	tff(f698,plain,(
1.88/0.76	  sK2 != sK6(sK0) | (~spl22_22 | spl22_43)),
1.88/0.76	  inference(constrained_resolution,[],[f650,f375])).
1.88/0.76	tff(f704,plain,(
1.88/0.76	  spl22_45 | ~spl22_12 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f604,f507,f324,f701])).
1.88/0.76	tff(f687,plain,(
1.88/0.76	  ~spl22_44 | ~spl22_17 | spl22_40),
1.88/0.76	  inference(avatar_split_clause,[],[f668,f560,f350,f684])).
1.88/0.76	tff(f668,plain,(
1.88/0.76	  sF12 != sF14 | (~spl22_17 | spl22_40)),
1.88/0.76	  inference(superposition,[],[f562,f352])).
1.88/0.76	tff(f664,plain,(
1.88/0.76	  spl22_11 | ~spl22_14 | ~spl22_33 | spl22_43),
1.88/0.76	  inference(avatar_split_clause,[],[f653,f649,f485,f335,f318])).
1.88/0.76	tff(f653,plain,(
1.88/0.76	  no_zero1(sK0) | (~spl22_14 | ~spl22_33 | spl22_43)),
1.88/0.76	  inference(subsumption_resolution,[],[f552,f650])).
1.88/0.76	tff(f652,plain,(
1.88/0.76	  spl22_43 | spl22_11 | ~spl22_14 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f553,f485,f335,f318,f649])).
1.88/0.76	tff(f588,plain,(
1.88/0.76	  spl22_42 | ~spl22_12 | ~spl22_16),
1.88/0.76	  inference(avatar_split_clause,[],[f579,f345,f324,f585])).
1.88/0.76	tff(f585,plain,(
1.88/0.76	  spl22_42 <=> sF10 = some_proj_11(int,sF18)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_42])])).
1.88/0.76	tff(f579,plain,(
1.88/0.76	  sF10 = some_proj_11(int,sF18) | (~spl22_12 | ~spl22_16)),
1.88/0.76	  inference(global_subsumption,[],[f347,f577])).
1.88/0.76	tff(f577,plain,(
1.88/0.76	  sF10 = some_proj_11(int,sF18) | ~sort1(int,sF10) | ~spl22_12),
1.88/0.76	  inference(superposition,[],[f186,f326])).
1.88/0.76	tff(f575,plain,(
1.88/0.76	  spl22_41 | ~spl22_12 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f570,f507,f324,f572])).
1.88/0.76	tff(f572,plain,(
1.88/0.76	  spl22_41 <=> sF18 = hd(int,sF12)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_41])])).
1.88/0.76	tff(f570,plain,(
1.88/0.76	  sF18 = hd(int,sF12) | (~spl22_12 | ~spl22_35)),
1.88/0.76	  inference(forward_demodulation,[],[f568,f326])).
1.88/0.76	tff(f568,plain,(
1.88/0.76	  some(int,sF10) = hd(int,sF12) | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f161,f509])).
1.88/0.76	tff(f161,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (some(X0,X1) = hd(X0,cons(X0,X1,X2))) )),
1.88/0.76	  inference(cnf_transformation,[],[f72])).
1.88/0.76	tff(f563,plain,(
1.88/0.76	  ~spl22_40 | ~spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f516,f507,f560])).
1.88/0.76	tff(f516,plain,(
1.88/0.76	  nil(int) != sF12 | ~spl22_35),
1.88/0.76	  inference(superposition,[],[f194,f509])).
1.88/0.76	tff(f194,plain,(
1.88/0.76	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (cons(X0,X1,X2) != nil(X0)) )),
1.88/0.76	  inference(cnf_transformation,[],[f90])).
1.88/0.76	tff(f90,plain,(
1.88/0.76	  ! [X0 : ty,X1 : uni,X2 : uni] : cons(X0,X1,X2) != nil(X0)),
1.88/0.76	  inference(rectify,[],[f12])).
1.88/0.76	tff(f12,axiom,(
1.88/0.76	  ! [X0 : ty,X10 : uni,X12 : uni] : nil(X0) != cons(X0,X10,X12)),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',nil_Cons1)).
1.88/0.76	tff(f535,plain,(
1.88/0.76	  spl22_39 | ~spl22_18),
1.88/0.76	  inference(avatar_split_clause,[],[f399,f355,f532])).
1.88/0.76	tff(f355,plain,(
1.88/0.76	  spl22_18 <=> tb2t1(sF14) = sF15),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_18])])).
1.88/0.76	tff(f399,plain,(
1.88/0.76	  sF14 = t2tb1(sF15) | ~spl22_18),
1.88/0.76	  inference(superposition,[],[f156,f357])).
1.88/0.76	tff(f357,plain,(
1.88/0.76	  tb2t1(sF14) = sF15 | ~spl22_18),
1.88/0.76	  inference(avatar_component_clause,[],[f355])).
1.88/0.76	tff(f528,plain,(
1.88/0.76	  spl22_38 | ~spl22_15),
1.88/0.76	  inference(avatar_split_clause,[],[f391,f340,f525])).
1.88/0.76	tff(f525,plain,(
1.88/0.76	  spl22_38 <=> sK5 = tb2t1(sF11)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_38])])).
1.88/0.76	tff(f391,plain,(
1.88/0.76	  sK5 = tb2t1(sF11) | ~spl22_15),
1.88/0.76	  inference(superposition,[],[f153,f342])).
1.88/0.76	tff(f153,plain,(
1.88/0.76	  ( ! [X0 : list_int] : (tb2t1(t2tb1(X0)) = X0) )),
1.88/0.76	  inference(cnf_transformation,[],[f66])).
1.88/0.76	tff(f66,plain,(
1.88/0.76	  ! [X0 : list_int] : tb2t1(t2tb1(X0)) = X0),
1.88/0.76	  inference(rectify,[],[f41])).
1.88/0.76	tff(f41,axiom,(
1.88/0.76	  ! [X3 : list_int] : tb2t1(t2tb1(X3)) = X3),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL1)).
1.88/0.76	tff(f522,plain,(
1.88/0.76	  spl22_37 | ~spl22_14),
1.88/0.76	  inference(avatar_split_clause,[],[f390,f335,f519])).
1.88/0.76	tff(f390,plain,(
1.88/0.76	  sK0 = tb2t1(sF8) | ~spl22_14),
1.88/0.76	  inference(superposition,[],[f153,f337])).
1.88/0.76	tff(f515,plain,(
1.88/0.76	  spl22_36 | ~spl22_20),
1.88/0.76	  inference(avatar_split_clause,[],[f388,f365,f512])).
1.88/0.76	tff(f388,plain,(
1.88/0.76	  sF18 = t2tb(sF19) | ~spl22_20),
1.88/0.76	  inference(superposition,[],[f152,f367])).
1.88/0.76	tff(f510,plain,(
1.88/0.76	  spl22_35),
1.88/0.76	  inference(avatar_split_clause,[],[f224,f507])).
1.88/0.76	tff(f224,plain,(
1.88/0.76	  cons(int,sF10,sF11) = sF12),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f497,plain,(
1.88/0.76	  ~spl22_34 | ~spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f490,f485,f494])).
1.88/0.76	tff(f494,plain,(
1.88/0.76	  spl22_34 <=> $less(sF9,0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_34])])).
1.88/0.76	tff(f490,plain,(
1.88/0.76	  ~$less(sF9,0) | ~spl22_33),
1.88/0.76	  inference(superposition,[],[f171,f487])).
1.88/0.76	tff(f488,plain,(
1.88/0.76	  spl22_33),
1.88/0.76	  inference(avatar_split_clause,[],[f219,f485])).
1.88/0.76	tff(f473,plain,(
1.88/0.76	  spl22_32 | ~spl22_5 | ~spl22_10),
1.88/0.76	  inference(avatar_split_clause,[],[f462,f314,f283,f470])).
1.88/0.76	tff(f470,plain,(
1.88/0.76	  spl22_32 <=> sK2 = sF21),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_32])])).
1.88/0.76	tff(f283,plain,(
1.88/0.76	  spl22_5 <=> sF9 = sF21),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_5])])).
1.88/0.76	tff(f314,plain,(
1.88/0.76	  spl22_10 <=> sK2 = sF9),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_10])])).
1.88/0.76	tff(f462,plain,(
1.88/0.76	  sK2 = sF21 | (~spl22_5 | ~spl22_10)),
1.88/0.76	  inference(forward_demodulation,[],[f285,f315])).
1.88/0.76	tff(f315,plain,(
1.88/0.76	  sK2 = sF9 | ~spl22_10),
1.88/0.76	  inference(avatar_component_clause,[],[f314])).
1.88/0.76	tff(f285,plain,(
1.88/0.76	  sF9 = sF21 | ~spl22_5),
1.88/0.76	  inference(avatar_component_clause,[],[f283])).
1.88/0.76	tff(f468,plain,(
1.88/0.76	  spl22_31 | ~spl22_10 | ~spl22_13),
1.88/0.76	  inference(avatar_split_clause,[],[f457,f329,f314,f465])).
1.88/0.76	tff(f457,plain,(
1.88/0.76	  0 = sF20 | (~spl22_10 | ~spl22_13)),
1.88/0.76	  inference(cancellation,[],[f456])).
1.88/0.76	tff(f456,plain,(
1.88/0.76	  sK2 = $sum(sK2,sF20) | (~spl22_10 | ~spl22_13)),
1.88/0.76	  inference(forward_demodulation,[],[f331,f315])).
1.88/0.76	tff(f454,plain,(
1.88/0.76	  spl22_30 | ~spl22_5 | ~spl22_10 | ~spl22_24),
1.88/0.76	  inference(avatar_split_clause,[],[f439,f383,f314,f283,f451])).
1.88/0.76	tff(f383,plain,(
1.88/0.76	  spl22_24 <=> 0 = sF21),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_24])])).
1.88/0.76	tff(f439,plain,(
1.88/0.76	  0 = sK2 | (~spl22_5 | ~spl22_10 | ~spl22_24)),
1.88/0.76	  inference(forward_demodulation,[],[f315,f435])).
1.88/0.76	tff(f435,plain,(
1.88/0.76	  0 = sF9 | (~spl22_5 | ~spl22_24)),
1.88/0.76	  inference(backward_demodulation,[],[f285,f384])).
1.88/0.76	tff(f384,plain,(
1.88/0.76	  0 = sF21 | ~spl22_24),
1.88/0.76	  inference(avatar_component_clause,[],[f383])).
1.88/0.76	tff(f449,plain,(
1.88/0.76	  spl22_23 | ~spl22_5 | ~spl22_24),
1.88/0.76	  inference(avatar_split_clause,[],[f435,f383,f283,f379])).
1.88/0.76	tff(f379,plain,(
1.88/0.76	  spl22_23 <=> 0 = sF9),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_23])])).
1.88/0.76	tff(f434,plain,(
1.88/0.76	  ~spl22_29 | ~spl22_26),
1.88/0.76	  inference(avatar_split_clause,[],[f429,f410,f431])).
1.88/0.76	tff(f429,plain,(
1.88/0.76	  ~$less(sF20,0) | ~spl22_26),
1.88/0.76	  inference(superposition,[],[f171,f412])).
1.88/0.76	tff(f428,plain,(
1.88/0.76	  spl22_28 | ~spl22_9),
1.88/0.76	  inference(avatar_split_clause,[],[f398,f309,f425])).
1.88/0.76	tff(f419,plain,(
1.88/0.76	  spl22_27 | ~spl22_8),
1.88/0.76	  inference(avatar_split_clause,[],[f387,f304,f416])).
1.88/0.76	tff(f416,plain,(
1.88/0.76	  spl22_27 <=> 0 = tb2t2(sF10)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_27])])).
1.88/0.76	tff(f304,plain,(
1.88/0.76	  spl22_8 <=> t2tb2(0) = sF10),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_8])])).
1.88/0.76	tff(f387,plain,(
1.88/0.76	  0 = tb2t2(sF10) | ~spl22_8),
1.88/0.76	  inference(superposition,[],[f151,f306])).
1.88/0.76	tff(f306,plain,(
1.88/0.76	  t2tb2(0) = sF10 | ~spl22_8),
1.88/0.76	  inference(avatar_component_clause,[],[f304])).
1.88/0.76	tff(f151,plain,(
1.88/0.76	  ( ! [X0 : $int] : (tb2t2(t2tb2(X0)) = X0) )),
1.88/0.76	  inference(cnf_transformation,[],[f64])).
1.88/0.76	tff(f64,plain,(
1.88/0.76	  ! [X0 : $int] : tb2t2(t2tb2(X0)) = X0),
1.88/0.76	  inference(rectify,[],[f2])).
1.88/0.76	tff(f2,axiom,(
1.88/0.76	  ! [X3 : $int] : tb2t2(t2tb2(X3)) = X3),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeL2)).
1.88/0.76	tff(f413,plain,(
1.88/0.76	  spl22_26 | ~spl22_9 | ~spl22_19),
1.88/0.76	  inference(avatar_split_clause,[],[f403,f360,f309,f410])).
1.88/0.76	tff(f403,plain,(
1.88/0.76	  sF20 = length1(int,sF12) | (~spl22_9 | ~spl22_19)),
1.88/0.76	  inference(backward_demodulation,[],[f237,f400])).
1.88/0.76	tff(f237,plain,(
1.88/0.76	  length1(int,sF16) = sF20),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f408,plain,(
1.88/0.76	  spl22_25 | ~spl22_9 | ~spl22_19),
1.88/0.76	  inference(avatar_split_clause,[],[f400,f360,f309,f405])).
1.88/0.76	tff(f405,plain,(
1.88/0.76	  spl22_25 <=> sF12 = sF16),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_25])])).
1.88/0.76	tff(f386,plain,(
1.88/0.76	  spl22_23 | ~spl22_24 | ~spl22_2 | ~spl22_5),
1.88/0.76	  inference(avatar_split_clause,[],[f295,f283,f268,f383,f379])).
1.88/0.76	tff(f268,plain,(
1.88/0.76	  spl22_2 <=> 0 = sK4),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_2])])).
1.88/0.76	tff(f295,plain,(
1.88/0.76	  0 != sF21 | 0 = sF9 | (~spl22_2 | ~spl22_5)),
1.88/0.76	  inference(forward_demodulation,[],[f294,f270])).
1.88/0.76	tff(f270,plain,(
1.88/0.76	  0 = sK4 | ~spl22_2),
1.88/0.76	  inference(avatar_component_clause,[],[f268])).
1.88/0.76	tff(f294,plain,(
1.88/0.76	  0 = sF9 | sK4 != sF21 | (~spl22_2 | ~spl22_5)),
1.88/0.76	  inference(constrained_superposition,[],[f285,f270])).
1.88/0.76	tff(f377,plain,(
1.88/0.76	  ~spl22_21 | ~spl22_22),
1.88/0.76	  inference(avatar_split_clause,[],[f245,f374,f370])).
1.88/0.76	tff(f368,plain,(
1.88/0.76	  spl22_20),
1.88/0.76	  inference(avatar_split_clause,[],[f235,f365])).
1.88/0.76	tff(f363,plain,(
1.88/0.76	  spl22_19),
1.88/0.76	  inference(avatar_split_clause,[],[f231,f360])).
1.88/0.76	tff(f358,plain,(
1.88/0.76	  spl22_18),
1.88/0.76	  inference(avatar_split_clause,[],[f228,f355])).
1.88/0.76	tff(f228,plain,(
1.88/0.76	  tb2t1(sF14) = sF15),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f353,plain,(
1.88/0.76	  spl22_17),
1.88/0.76	  inference(avatar_split_clause,[],[f227,f350])).
1.88/0.76	tff(f227,plain,(
1.88/0.76	  nil(int) = sF14),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f348,plain,(
1.88/0.76	  spl22_16 | ~spl22_8),
1.88/0.76	  inference(avatar_split_clause,[],[f333,f304,f345])).
1.88/0.76	tff(f333,plain,(
1.88/0.76	  sort1(int,sF10) | ~spl22_8),
1.88/0.76	  inference(superposition,[],[f150,f306])).
1.88/0.76	tff(f150,plain,(
1.88/0.76	  ( ! [X0 : $int] : (sort1(int,t2tb2(X0))) )),
1.88/0.76	  inference(cnf_transformation,[],[f63])).
1.88/0.76	tff(f63,plain,(
1.88/0.76	  ! [X0 : $int] : sort1(int,t2tb2(X0))),
1.88/0.76	  inference(rectify,[],[f3])).
1.88/0.76	tff(f3,axiom,(
1.88/0.76	  ! [X4 : $int] : sort1(int,t2tb2(X4))),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort5)).
1.88/0.76	tff(f343,plain,(
1.88/0.76	  spl22_15),
1.88/0.76	  inference(avatar_split_clause,[],[f223,f340])).
1.88/0.76	tff(f223,plain,(
1.88/0.76	  t2tb1(sK5) = sF11),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f338,plain,(
1.88/0.76	  spl22_14),
1.88/0.76	  inference(avatar_split_clause,[],[f218,f335])).
1.88/0.76	tff(f332,plain,(
1.88/0.76	  spl22_13),
1.88/0.76	  inference(avatar_split_clause,[],[f246,f329])).
1.88/0.76	tff(f246,plain,(
1.88/0.76	  sF9 = $sum(sK2,sF20)),
1.88/0.76	  inference(backward_demodulation,[],[f238,f239])).
1.88/0.76	tff(f239,plain,(
1.88/0.76	  sF9 = sF21),
1.88/0.76	  inference(definition_folding,[],[f136,f238,f237,f231,f219,f218])).
1.88/0.76	tff(f136,plain,(
1.88/0.76	  length1(int,t2tb1(sK0)) = $sum(sK2,length1(int,t2tb1(sK1)))),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f238,plain,(
1.88/0.76	  $sum(sK2,sF20) = sF21),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f327,plain,(
1.88/0.76	  spl22_12),
1.88/0.76	  inference(avatar_split_clause,[],[f243,f324])).
1.88/0.76	tff(f321,plain,(
1.88/0.76	  ~spl22_10 | ~spl22_11),
1.88/0.76	  inference(avatar_split_clause,[],[f220,f318,f314])).
1.88/0.76	tff(f220,plain,(
1.88/0.76	  ~no_zero1(sK0) | sK2 != sF9),
1.88/0.76	  inference(definition_folding,[],[f146,f219,f218])).
1.88/0.76	tff(f146,plain,(
1.88/0.76	  ~no_zero1(sK0) | sK2 != length1(int,t2tb1(sK0))),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f312,plain,(
1.88/0.76	  spl22_9),
1.88/0.76	  inference(avatar_split_clause,[],[f244,f309])).
1.88/0.76	tff(f244,plain,(
1.88/0.76	  sK1 = tb2t1(sF12)),
1.88/0.76	  inference(backward_demodulation,[],[f225,f226])).
1.88/0.76	tff(f226,plain,(
1.88/0.76	  sK1 = sF13),
1.88/0.76	  inference(definition_folding,[],[f142,f225,f224,f223,f222])).
1.88/0.76	tff(f142,plain,(
1.88/0.76	  sK1 = tb2t1(cons(int,t2tb2(sK4),t2tb1(sK5)))),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f225,plain,(
1.88/0.76	  tb2t1(sF12) = sF13),
1.88/0.76	  introduced(function_definition,[])).
1.88/0.76	tff(f307,plain,(
1.88/0.76	  spl22_8),
1.88/0.76	  inference(avatar_split_clause,[],[f241,f304])).
1.88/0.76	tff(f300,plain,(
1.88/0.76	  ~spl22_7),
1.88/0.76	  inference(avatar_split_clause,[],[f147,f297])).
1.88/0.76	tff(f297,plain,(
1.88/0.76	  spl22_7 <=> false1 = true1),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_7])])).
1.88/0.76	tff(f147,plain,(
1.88/0.76	  false1 != true1),
1.88/0.76	  inference(cnf_transformation,[],[f32])).
1.88/0.76	tff(f32,axiom,(
1.88/0.76	  false1 != true1),
1.88/0.76	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_False)).
1.88/0.76	tff(f291,plain,(
1.88/0.76	  spl22_6),
1.88/0.76	  inference(avatar_split_clause,[],[f242,f288])).
1.88/0.76	tff(f288,plain,(
1.88/0.76	  spl22_6 <=> sF10 = sF17),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_6])])).
1.88/0.76	tff(f286,plain,(
1.88/0.76	  spl22_5),
1.88/0.76	  inference(avatar_split_clause,[],[f239,f283])).
1.88/0.76	tff(f281,plain,(
1.88/0.76	  ~spl22_4),
1.88/0.76	  inference(avatar_split_clause,[],[f229,f278])).
1.88/0.76	tff(f278,plain,(
1.88/0.76	  spl22_4 <=> sK1 = sF15),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_4])])).
1.88/0.76	tff(f229,plain,(
1.88/0.76	  sK1 != sF15),
1.88/0.76	  inference(definition_folding,[],[f141,f228,f227])).
1.88/0.76	tff(f141,plain,(
1.88/0.76	  tb2t1(nil(int)) != sK1),
1.88/0.76	  inference(cnf_transformation,[],[f130])).
1.88/0.76	tff(f276,plain,(
1.88/0.76	  spl22_3),
1.88/0.76	  inference(avatar_split_clause,[],[f226,f273])).
1.88/0.76	tff(f273,plain,(
1.88/0.76	  spl22_3 <=> sK1 = sF13),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_3])])).
1.88/0.76	tff(f271,plain,(
1.88/0.76	  spl22_2),
1.88/0.76	  inference(avatar_split_clause,[],[f209,f268])).
1.88/0.76	tff(f266,plain,(
1.88/0.76	  ~spl22_1),
1.88/0.76	  inference(avatar_split_clause,[],[f139,f263])).
1.88/0.76	tff(f263,plain,(
1.88/0.76	  spl22_1 <=> $less(sK2,0)),
1.88/0.76	  introduced(avatar_definition,[new_symbols(naming,[spl22_1])])).
1.88/0.76	% SZS output end Proof for theBenchmark
1.88/0.76	% (6952)------------------------------
1.88/0.76	% (6952)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
1.88/0.76	% (6952)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
1.88/0.76	% (6952)Termination reason: Refutation
1.88/0.76	
1.88/0.76	% (6952)Memory used [KB]: 7931
1.88/0.76	% (6952)Time elapsed: 0.237 s
1.88/0.76	% (6952)------------------------------
1.88/0.76	% (6952)------------------------------
1.88/0.76	% (6946)Success in time 0.286 s
1.88/0.76	6950 Aborted by signal SIGHUP on /export/starexec/sandbox/benchmark/theBenchmark.p
1.88/0.76	% (6950)------------------------------
1.88/0.76	% (6950)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
1.88/0.76	% (6950)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
1.88/0.76	% (6950)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
1.88/0.76	
1.88/0.76	% (6950)Memory used [KB]: 7291
1.88/0.76	% (6950)Time elapsed: 0.266 s
1.88/0.76	% (6950)------------------------------
1.88/0.76	% (6950)------------------------------
1.88/0.76	% Vampire---4.8 exiting
1.88/0.76	EOF