0.06/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.11	% Command    : run_vampire %s %d
0.10/0.31	% Computer   : n015.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Thu Jul  2 07:58:30 EDT 2020
0.16/0.31	% CPUTime    : 
0.16/0.44	% (20497)WARNING: option uwaf not known.
0.16/0.44	% (20489)dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark
0.16/0.44	% (20497)lrs-2_24_awrs=converge:awrsf=64:av=off:bd=off:bs=on:bsr=on:br=off:cond=on:fde=none:gsp=input_only:inw=on:lwlo=on:nm=6:nwc=4:stl=30:s2a=on:sos=all:sp=weighted_frequency:thf=on:uwa=one_side_interpreted:urr=on:updr=off:uhcvi=on:uwaf=on_21 on theBenchmark
0.16/0.47	% (20486)dis+1_3_add=large:afp=4000:afq=1.0:anc=none:gs=on:gsem=off:inw=on:lcm=reverse:lwlo=on:nm=64:nwc=1:sas=z3:sos=all:sac=on:thi=all:uwa=all:updr=off:uhcvi=on_12 on theBenchmark
0.16/0.48	% (20485)dis+1002_8:1_awrs=converge:awrsf=256:anc=all_dependent:br=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:sas=z3:s2a=on:sp=frequency:thf=on:uwa=interpreted_only:urr=on_7 on theBenchmark
0.16/0.48	% (20503)dis+11_3_add=large:afr=on:afp=4000:afq=1.2:amm=off:anc=none:gs=on:gsem=on:lwlo=on:nm=64:nwc=1:sas=z3:sac=on:sp=reverse_arity:tha=off:thf=on:updr=off_92 on theBenchmark
0.16/0.49	% (20494)lrs+10_2_add=off:afr=on:afp=4000:afq=2.0:amm=off:anc=none:cond=fast:fsr=off:fde=unused:gs=on:gsaa=full_model:gsem=on:inw=on:nm=64:nwc=1:sas=z3:stl=30:sos=all:sp=occurrence:tha=off:thf=on:urr=on:updr=off:uhcvi=on_6 on theBenchmark
0.16/0.49	% (20495)lrs+1011_1_add=off:afp=100000:afq=1.0:anc=none:cond=on:gs=on:gsaa=from_current:gsem=on:inw=on:lma=on:nm=64:newcnf=on:nwc=1:sas=z3:stl=30:sos=on:sp=occurrence:tha=off:uwa=ground_3 on theBenchmark
0.16/0.50	% (20502)dis+1010_24_aac=none:afr=on:anc=none:cond=on:fsr=off:gs=on:gsem=on:nm=6:nwc=1:sas=z3:sos=on:sp=reverse_arity:tha=off_9 on theBenchmark
0.16/0.52	% (20484)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=input_only:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark
0.16/0.52	% (20487)lrs+3_128_awrs=converge:awrsf=2:av=off:bs=on:cond=fast:fsr=off:fde=unused:gsp=input_only:irw=on:lma=on:nm=64:nwc=1.5:stl=30:sp=frequency:tha=some:updr=off_148 on theBenchmark
0.16/0.53	% (20480)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=input_only:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark
0.16/0.54	% (20505)ott+10_4_awrs=converge:awrsf=128:afp=100000:afq=1.4:amm=sco:anc=none:fsr=off:fde=unused:gs=on:gsaa=from_current:gsem=on:irw=on:nm=64:nwc=1:s2a=on:sac=on:sp=frequency:tha=off_3 on theBenchmark
0.16/0.54	% (20508)dis+1002_4_add=off:afp=10000:afq=2.0:amm=off:anc=none:fsr=off:gsp=input_only:gs=on:gsem=on:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1:sos=on:sac=on:sp=occurrence:tha=off:updr=off_2 on theBenchmark
0.16/0.54	% (20498)ott+10_8_add=large:afp=100000:afq=1.4:amm=sco:cond=fast:fsr=off:fde=none:lcm=predicate:lma=on:nm=32:nwc=1:sos=on:sac=on:tha=off:updr=off_29 on theBenchmark
1.54/0.55	% (20490)dis+10_3:2_afr=on:afp=1000:afq=1.2:bd=off:irw=on:lcm=predicate:lwlo=on:nm=0:newcnf=on:nwc=2:sos=on:tha=off:thf=on:urr=ec_only_11 on theBenchmark
1.54/0.55	% (20501)dis+1011_2:3_add=off:afr=on:afp=4000:afq=1.4:anc=none:bs=unit_only:fsr=off:gs=on:gsem=on:lwlo=on:nm=16:nwc=1.3:nicw=on:sas=z3:sac=on:tha=off_260 on theBenchmark
1.54/0.55	% (20504)lrs+1003_2_awrs=converge:awrsf=512:add=large:afp=10000:afq=1.1:amm=sco:anc=none:cond=fast:fde=unused:lma=on:nm=64:nwc=1.2:stl=30:s2a=on:sac=on:sp=reverse_arity:tha=some:thi=new:urr=on:updr=off_80 on theBenchmark
1.54/0.56	% (20493)lrs+1_2:3_afr=on:afp=1000:afq=1.1:amm=sco:anc=none:fsr=off:fde=none:gs=on:gsaa=full_model:gsem=on:lma=on:nm=64:nwc=1.3:sas=z3:stl=30:sac=on:tha=off:uwa=one_side_interpreted:updr=off_9 on theBenchmark
1.71/0.56	% (20497)Refutation found. Thanks to Tanya!
1.71/0.56	% SZS status Theorem for theBenchmark
1.71/0.56	% SZS output start Proof for theBenchmark
1.71/0.56	tff(type_def_5, type, uni: $tType).
1.71/0.56	tff(type_def_6, type, ty: $tType).
1.71/0.56	tff(type_def_7, type, bool1: $tType).
1.71/0.56	tff(type_def_8, type, tuple02: $tType).
1.71/0.56	tff(type_def_9, type, vertex1: $tType).
1.71/0.56	tff(type_def_10, type, set_vertex: $tType).
1.71/0.56	tff(func_def_0, type, witness1: ty > uni).
1.71/0.56	tff(func_def_1, type, int: ty).
1.71/0.56	tff(func_def_2, type, real: ty).
1.71/0.56	tff(func_def_3, type, bool: ty).
1.71/0.56	tff(func_def_4, type, true1: bool1).
1.71/0.56	tff(func_def_5, type, false1: bool1).
1.71/0.56	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
1.71/0.56	tff(func_def_7, type, tuple0: ty).
1.71/0.56	tff(func_def_8, type, tuple03: tuple02).
1.71/0.56	tff(func_def_9, type, qtmark: ty).
1.71/0.56	tff(func_def_10, type, set: ty > ty).
1.71/0.56	tff(func_def_11, type, empty: ty > uni).
1.71/0.56	tff(func_def_12, type, add: (ty * uni * uni) > uni).
1.71/0.56	% (20481)lrs+1_3_awrs=decay:awrsf=4:afp=10000:afq=1.0:amm=off:anc=none:bd=off:cond=on:fsr=off:fde=unused:gs=on:lwlo=on:nm=16:nwc=1:sas=z3:stl=30:ss=axioms:s2a=on:st=1.2:sos=theory:sp=frequency_29 on theBenchmark
1.71/0.56	tff(func_def_13, type, remove: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_14, type, union: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_15, type, inter: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_16, type, diff: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_17, type, choose: (ty * uni) > uni).
1.71/0.56	tff(func_def_18, type, cardinal1: (ty * uni) > $int).
1.71/0.56	tff(func_def_19, type, vertex: ty).
1.71/0.56	tff(func_def_20, type, succ1: vertex1 > set_vertex).
1.71/0.56	tff(func_def_21, type, t2tb: set_vertex > uni).
1.71/0.56	tff(func_def_22, type, tb2t: uni > set_vertex).
1.71/0.56	tff(func_def_23, type, t2tb1: vertex1 > uni).
1.71/0.56	tff(func_def_24, type, tb2t1: uni > vertex1).
1.71/0.56	tff(func_def_25, type, ref: ty > ty).
1.71/0.56	tff(func_def_26, type, mk_ref: (ty * uni) > uni).
1.71/0.56	tff(func_def_27, type, contents: (ty * uni) > uni).
1.71/0.56	tff(func_def_33, type, sK6: vertex1).
1.71/0.56	tff(func_def_34, type, sK7: vertex1).
1.71/0.56	tff(func_def_35, type, sK8: $int).
1.71/0.56	tff(func_def_36, type, sK9: set_vertex).
1.71/0.56	tff(func_def_37, type, sK10: set_vertex).
1.71/0.56	tff(func_def_38, type, sK11: set_vertex).
1.71/0.56	tff(func_def_39, type, sK12: bool1).
1.71/0.56	tff(func_def_40, type, sK13: set_vertex).
1.71/0.56	tff(func_def_41, type, sK14: vertex1).
1.71/0.56	tff(func_def_42, type, sK15: set_vertex).
1.71/0.56	tff(func_def_43, type, sK16: set_vertex).
1.71/0.56	tff(func_def_44, type, sK17: bool1).
1.71/0.56	tff(func_def_45, type, sK18: set_vertex).
1.71/0.56	tff(func_def_46, type, sK19: set_vertex).
1.71/0.56	tff(func_def_47, type, sK20: $int).
1.71/0.56	tff(func_def_48, type, sK21: vertex1).
1.71/0.56	tff(func_def_49, type, sK22: set_vertex > vertex1).
1.71/0.56	tff(func_def_50, type, sK23: set_vertex > vertex1).
1.71/0.56	tff(func_def_51, type, sK24: (ty * uni) > uni).
1.71/0.56	tff(func_def_52, type, sK25: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_53, type, sK26: (ty * uni * uni) > uni).
1.71/0.56	tff(func_def_54, type, sK27: (vertex1 * vertex1 * $int) > vertex1).
1.71/0.56	tff(func_def_55, type, sK28: ($int * vertex1 * vertex1) > vertex1).
1.71/0.56	tff(func_def_56, type, sK29: ($int * vertex1 * vertex1) > vertex1).
1.71/0.56	tff(func_def_57, type, sK30: ($int * vertex1 * vertex1) > vertex1).
1.71/0.56	tff(func_def_58, type, sK31: ($int * vertex1 * vertex1) > $int).
1.71/0.56	tff(func_def_59, type, sK32: (vertex1 * vertex1 * $int) > vertex1).
1.71/0.56	tff(func_def_60, type, sK33: (vertex1 * vertex1 * $int) > $int).
1.71/0.56	tff(func_def_61, type, sK34: (set_vertex * vertex1) > vertex1).
1.71/0.56	tff(func_def_62, type, sK35: (set_vertex * $int * vertex1) > vertex1).
1.71/0.56	tff(func_def_63, type, sK36: ($int * vertex1 * set_vertex) > vertex1).
1.71/0.56	tff(func_def_64, type, sK37: ($int * vertex1 * set_vertex) > vertex1).
1.71/0.56	tff(func_def_65, type, sK38: ($int * vertex1 * vertex1) > $int).
1.71/0.56	tff(func_def_66, type, sK39: (set_vertex * set_vertex * $int * vertex1) > vertex1).
1.71/0.56	tff(func_def_67, type, sK40: (set_vertex * $int * vertex1) > vertex1).
1.71/0.56	tff(func_def_68, type, sK41: (set_vertex * $int * vertex1) > $int).
1.71/0.56	tff(pred_def_1, type, sort1: (ty * uni) > $o).
1.71/0.56	tff(pred_def_2, type, mem: (ty * uni * uni) > $o).
1.71/0.56	tff(pred_def_3, type, infix_eqeq: (ty * uni * uni) > $o).
1.71/0.56	tff(pred_def_4, type, subset: (ty * uni * uni) > $o).
1.71/0.56	tff(pred_def_5, type, is_empty: (ty * uni) > $o).
1.71/0.56	tff(pred_def_6, type, path1: (vertex1 * vertex1 * $int) > $o).
1.71/0.56	tff(pred_def_7, type, shortest_path1: (vertex1 * vertex1 * $int) > $o).
1.71/0.56	tff(pred_def_8, type, inv1: (vertex1 * vertex1 * set_vertex * set_vertex * set_vertex * $int) > $o).
1.71/0.56	tff(pred_def_9, type, closure1: (set_vertex * set_vertex * set_vertex * vertex1) > $o).
1.71/0.56	tff(pred_def_12, type, sP0: ($int * vertex1 * vertex1) > $o).
1.71/0.56	tff(pred_def_13, type, sP1: (set_vertex * $int * vertex1) > $o).
1.71/0.56	tff(pred_def_14, type, sP2: (set_vertex * vertex1 * set_vertex * set_vertex) > $o).
1.71/0.56	tff(pred_def_15, type, sP3: (set_vertex * set_vertex * $int * vertex1) > $o).
1.71/0.56	tff(pred_def_16, type, sP4: ($int * vertex1 * set_vertex) > $o).
1.71/0.56	tff(pred_def_17, type, sP5: (set_vertex * set_vertex * $int * vertex1 * set_vertex * vertex1) > $o).
1.71/0.56	tff(pred_def_18, type, sP42: (vertex1 * vertex1) > $o).
1.71/0.56	tff(pred_def_19, type, sP43: (vertex1 * vertex1) > $o).
1.71/0.56	tff(pred_def_20, type, sP44: (vertex1 * vertex1) > $o).
1.71/0.56	tff(pred_def_21, type, sP45: (vertex1 * set_vertex) > $o).
1.71/0.56	tff(pred_def_22, type, sP46: (vertex1 * $int * set_vertex) > $o).
1.71/0.56	tff(pred_def_23, type, sP47: (set_vertex * vertex1 * $int) > $o).
1.71/0.56	tff(pred_def_24, type, sP48: (vertex1 * vertex1 * $int) > $o).
1.71/0.56	tff(f1461,plain,(
1.71/0.56	  $false),
1.71/0.56	  inference(subsumption_resolution,[],[f1410,f487])).
1.71/0.56	tff(f487,plain,(
1.71/0.56	  mem(vertex,t2tb1(sK34(sK16,sK21)),t2tb(succ1(sK21)))),
1.71/0.56	  inference(unit_resulting_resolution,[],[f287,f372])).
1.71/0.56	tff(f372,plain,(
1.71/0.56	  ( ! [X2:set_vertex,X0:set_vertex,X3:vertex1,X1:set_vertex] : (closure1(X0,X1,X2,X3) | mem(vertex,t2tb1(sK34(X0,X3)),t2tb(succ1(X3)))) )),
1.71/0.56	  inference(cnf_transformation,[],[f234])).
1.71/0.56	tff(f234,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : ((closure1(X0,X1,X2,X3) | ((~mem(vertex,t2tb1(sK34(X0,X3)),t2tb(X0)) & mem(vertex,t2tb1(sK34(X0,X3)),t2tb(succ1(X3)))) & ~mem(vertex,t2tb1(X3),t2tb(X2)) & ~mem(vertex,t2tb1(X3),t2tb(X1)) & mem(vertex,t2tb1(X3),t2tb(X0)))) & (! [X5 : vertex1] : (mem(vertex,t2tb1(X5),t2tb(X0)) | ~mem(vertex,t2tb1(X5),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0)) | ~closure1(X0,X1,X2,X3)))),
1.71/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f232,f233])).
1.71/0.56	tff(f233,plain,(
1.71/0.56	  ! [X3 : vertex1,X0 : set_vertex] : (? [X4 : vertex1] : (~mem(vertex,t2tb1(X4),t2tb(X0)) & mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) => (~mem(vertex,t2tb1(sK34(X0,X3)),t2tb(X0)) & mem(vertex,t2tb1(sK34(X0,X3)),t2tb(succ1(X3)))))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f232,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : ((closure1(X0,X1,X2,X3) | (? [X4 : vertex1] : (~mem(vertex,t2tb1(X4),t2tb(X0)) & mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) & ~mem(vertex,t2tb1(X3),t2tb(X2)) & ~mem(vertex,t2tb1(X3),t2tb(X1)) & mem(vertex,t2tb1(X3),t2tb(X0)))) & (! [X5 : vertex1] : (mem(vertex,t2tb1(X5),t2tb(X0)) | ~mem(vertex,t2tb1(X5),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0)) | ~closure1(X0,X1,X2,X3)))),
1.71/0.56	  inference(rectify,[],[f231])).
1.71/0.56	tff(f231,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : ((closure1(X0,X1,X2,X3) | (? [X4 : vertex1] : (~mem(vertex,t2tb1(X4),t2tb(X0)) & mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) & ~mem(vertex,t2tb1(X3),t2tb(X2)) & ~mem(vertex,t2tb1(X3),t2tb(X1)) & mem(vertex,t2tb1(X3),t2tb(X0)))) & (! [X4 : vertex1] : (mem(vertex,t2tb1(X4),t2tb(X0)) | ~mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0)) | ~closure1(X0,X1,X2,X3)))),
1.71/0.56	  inference(flattening,[],[f230])).
1.71/0.56	tff(f230,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : ((closure1(X0,X1,X2,X3) | (? [X4 : vertex1] : (~mem(vertex,t2tb1(X4),t2tb(X0)) & mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) & ~mem(vertex,t2tb1(X3),t2tb(X2)) & ~mem(vertex,t2tb1(X3),t2tb(X1)) & mem(vertex,t2tb1(X3),t2tb(X0)))) & ((! [X4 : vertex1] : (mem(vertex,t2tb1(X4),t2tb(X0)) | ~mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0))) | ~closure1(X0,X1,X2,X3)))),
1.71/0.56	  inference(nnf_transformation,[],[f175])).
1.71/0.56	tff(f175,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : (closure1(X0,X1,X2,X3) <=> (! [X4 : vertex1] : (mem(vertex,t2tb1(X4),t2tb(X0)) | ~mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0))))),
1.71/0.56	  inference(flattening,[],[f174])).
1.71/0.56	tff(f174,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : (closure1(X0,X1,X2,X3) <=> (((! [X4 : vertex1] : (mem(vertex,t2tb1(X4),t2tb(X0)) | ~mem(vertex,t2tb1(X4),t2tb(succ1(X3)))) | mem(vertex,t2tb1(X3),t2tb(X2))) | mem(vertex,t2tb1(X3),t2tb(X1))) | ~mem(vertex,t2tb1(X3),t2tb(X0))))),
1.71/0.56	  inference(ennf_transformation,[],[f129])).
1.71/0.56	tff(f129,plain,(
1.71/0.56	  ! [X0 : set_vertex,X1 : set_vertex,X2 : set_vertex,X3 : vertex1] : (closure1(X0,X1,X2,X3) <=> (mem(vertex,t2tb1(X3),t2tb(X0)) => (~mem(vertex,t2tb1(X3),t2tb(X1)) => (~mem(vertex,t2tb1(X3),t2tb(X2)) => ! [X4 : vertex1] : (mem(vertex,t2tb1(X4),t2tb(succ1(X3))) => mem(vertex,t2tb1(X4),t2tb(X0)))))))),
1.71/0.56	  inference(rectify,[],[f34])).
1.71/0.56	tff(f34,axiom,(
1.71/0.56	  ! [X17 : set_vertex,X18 : set_vertex,X19 : set_vertex,X1 : vertex1] : (closure1(X17,X18,X19,X1) <=> (mem(vertex,t2tb1(X1),t2tb(X17)) => (~mem(vertex,t2tb1(X1),t2tb(X18)) => (~mem(vertex,t2tb1(X1),t2tb(X19)) => ! [X5 : vertex1] : (mem(vertex,t2tb1(X5),t2tb(succ1(X1))) => mem(vertex,t2tb1(X5),t2tb(X17)))))))),
1.71/0.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_def)).
1.71/0.56	tff(f287,plain,(
1.71/0.56	  ~closure1(sK16,sK18,sK19,sK21)),
1.71/0.56	  inference(cnf_transformation,[],[f198])).
1.71/0.56	tff(f198,plain,(
1.71/0.56	  (((((((~closure1(sK16,sK18,sK19,sK21) & $sum(sK8,1) = sK20) & tb2t(empty(vertex)) = sK19) & sK15 = sK18) & true1 = sK17 & (true1 = sK17 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != sK17)) & subset(vertex,t2tb(succ1(sK14)),t2tb(sK16)) & ! [X16 : vertex1] : closure1(sK16,sK13,sK15,X16) & inv1(sK6,sK7,sK16,sK13,sK15,sK8)) & inv1(sK6,sK7,sK11,sK13,sK9,sK8) & shortest_path1(sK6,sK14,sK8) & ! [X17 : vertex1] : (closure1(sK11,sK13,sK9,X17) | sK14 = X17) & sK7 != sK14 & mem(vertex,t2tb1(sK14),t2tb(sK10)) & sK13 = tb2t(remove(vertex,t2tb1(sK14),t2tb(sK10)))) & ~is_empty(vertex,t2tb(sK10)) & true1 != sK12 & (is_empty(vertex,t2tb(sK10)) | true1 != sK12) & (true1 = sK12 | ~is_empty(vertex,t2tb(sK10)))) & ! [X18 : vertex1] : closure1(sK11,sK10,sK9,X18) & ~$less(sK8,0) & (is_empty(vertex,t2tb(sK9)) | ~is_empty(vertex,t2tb(sK10))) & inv1(sK6,sK7,sK11,sK10,sK9,sK8)),
1.71/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21])],[f188,f197,f196,f195,f194,f193,f192,f191,f190,f189])).
1.71/0.56	tff(f189,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X6 : bool1] : (? [X7 : set_vertex,X8 : vertex1] : (? [X9 : set_vertex,X10 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(X2,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(X0,X1,X10,X7,X9,X2)) & inv1(X0,X1,X5,X7,X3,X2) & shortest_path1(X0,X8,X2) & ! [X17 : vertex1] : (closure1(X5,X7,X3,X17) | X8 = X17) & X1 != X8 & mem(vertex,t2tb1(X8),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X8),t2tb(X4))) = X7) & ~is_empty(vertex,t2tb(X4)) & true1 != X6 & (is_empty(vertex,t2tb(X4)) | true1 != X6) & (true1 = X6 | ~is_empty(vertex,t2tb(X4)))) & ! [X18 : vertex1] : closure1(X5,X4,X3,X18) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2)) => (? [X6 : bool1] : (? [X8 : vertex1,X7 : set_vertex] : (? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(sK6,sK7,X10,X7,X9,sK8)) & inv1(sK6,sK7,sK11,X7,sK9,sK8) & shortest_path1(sK6,X8,sK8) & ! [X17 : vertex1] : (closure1(sK11,X7,sK9,X17) | X8 = X17) & sK7 != X8 & mem(vertex,t2tb1(X8),t2tb(sK10)) & tb2t(remove(vertex,t2tb1(X8),t2tb(sK10))) = X7) & ~is_empty(vertex,t2tb(sK10)) & true1 != X6 & (is_empty(vertex,t2tb(sK10)) | true1 != X6) & (true1 = X6 | ~is_empty(vertex,t2tb(sK10)))) & ! [X18 : vertex1] : closure1(sK11,sK10,sK9,X18) & ~$less(sK8,0) & (is_empty(vertex,t2tb(sK9)) | ~is_empty(vertex,t2tb(sK10))) & inv1(sK6,sK7,sK11,sK10,sK9,sK8))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f190,plain,(
1.71/0.56	  ? [X6 : bool1] : (? [X8 : vertex1,X7 : set_vertex] : (? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(sK6,sK7,X10,X7,X9,sK8)) & inv1(sK6,sK7,sK11,X7,sK9,sK8) & shortest_path1(sK6,X8,sK8) & ! [X17 : vertex1] : (closure1(sK11,X7,sK9,X17) | X8 = X17) & sK7 != X8 & mem(vertex,t2tb1(X8),t2tb(sK10)) & tb2t(remove(vertex,t2tb1(X8),t2tb(sK10))) = X7) & ~is_empty(vertex,t2tb(sK10)) & true1 != X6 & (is_empty(vertex,t2tb(sK10)) | true1 != X6) & (true1 = X6 | ~is_empty(vertex,t2tb(sK10)))) => (? [X8 : vertex1,X7 : set_vertex] : (? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(sK6,sK7,X10,X7,X9,sK8)) & inv1(sK6,sK7,sK11,X7,sK9,sK8) & shortest_path1(sK6,X8,sK8) & ! [X17 : vertex1] : (closure1(sK11,X7,sK9,X17) | X8 = X17) & sK7 != X8 & mem(vertex,t2tb1(X8),t2tb(sK10)) & tb2t(remove(vertex,t2tb1(X8),t2tb(sK10))) = X7) & ~is_empty(vertex,t2tb(sK10)) & true1 != sK12 & (is_empty(vertex,t2tb(sK10)) | true1 != sK12) & (true1 = sK12 | ~is_empty(vertex,t2tb(sK10))))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f191,plain,(
1.71/0.56	  ? [X8 : vertex1,X7 : set_vertex] : (? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(sK6,sK7,X10,X7,X9,sK8)) & inv1(sK6,sK7,sK11,X7,sK9,sK8) & shortest_path1(sK6,X8,sK8) & ! [X17 : vertex1] : (closure1(sK11,X7,sK9,X17) | X8 = X17) & sK7 != X8 & mem(vertex,t2tb1(X8),t2tb(sK10)) & tb2t(remove(vertex,t2tb1(X8),t2tb(sK10))) = X7) => (? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != X11)) & subset(vertex,t2tb(succ1(sK14)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,sK13,X9,X16) & inv1(sK6,sK7,X10,sK13,X9,sK8)) & inv1(sK6,sK7,sK11,sK13,sK9,sK8) & shortest_path1(sK6,sK14,sK8) & ! [X17 : vertex1] : (closure1(sK11,sK13,sK9,X17) | sK14 = X17) & sK7 != sK14 & mem(vertex,t2tb1(sK14),t2tb(sK10)) & sK13 = tb2t(remove(vertex,t2tb1(sK14),t2tb(sK10))))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f192,plain,(
1.71/0.56	  ? [X10 : set_vertex,X9 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != X11)) & subset(vertex,t2tb(succ1(sK14)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,sK13,X9,X16) & inv1(sK6,sK7,X10,sK13,X9,sK8)) => (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & sK15 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != X11)) & subset(vertex,t2tb(succ1(sK14)),t2tb(sK16)) & ! [X16 : vertex1] : closure1(sK16,sK13,sK15,X16) & inv1(sK6,sK7,sK16,sK13,sK15,sK8))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f193,plain,(
1.71/0.56	  ? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & sK15 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != X11)) => (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & sK15 = X12) & true1 = sK17 & (true1 = sK17 | ~is_empty(vertex,t2tb(sK13))) & (is_empty(vertex,t2tb(sK13)) | true1 != sK17))),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f194,plain,(
1.71/0.56	  ? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,X12,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & sK15 = X12) => (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,sK18,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) & sK15 = sK18)),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f195,plain,(
1.71/0.56	  ? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,sK18,X13,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = X13) => (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,sK18,sK19,X15) & $sum(sK8,1) = X14) & tb2t(empty(vertex)) = sK19)),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f196,plain,(
1.71/0.56	  ? [X14 : $int] : (? [X15 : vertex1] : ~closure1(sK16,sK18,sK19,X15) & $sum(sK8,1) = X14) => (? [X15 : vertex1] : ~closure1(sK16,sK18,sK19,X15) & $sum(sK8,1) = sK20)),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f197,plain,(
1.71/0.56	  ? [X15 : vertex1] : ~closure1(sK16,sK18,sK19,X15) => ~closure1(sK16,sK18,sK19,sK21)),
1.71/0.56	  introduced(choice_axiom,[])).
1.71/0.56	tff(f188,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X6 : bool1] : (? [X7 : set_vertex,X8 : vertex1] : (? [X9 : set_vertex,X10 : set_vertex] : (? [X11 : bool1] : (? [X12 : set_vertex] : (? [X13 : set_vertex] : (? [X14 : $int] : (? [X15 : vertex1] : ~closure1(X10,X12,X13,X15) & $sum(X2,1) = X14) & tb2t(empty(vertex)) = X13) & X9 = X12) & true1 = X11 & (true1 = X11 | ~is_empty(vertex,t2tb(X7))) & (is_empty(vertex,t2tb(X7)) | true1 != X11)) & subset(vertex,t2tb(succ1(X8)),t2tb(X10)) & ! [X16 : vertex1] : closure1(X10,X7,X9,X16) & inv1(X0,X1,X10,X7,X9,X2)) & inv1(X0,X1,X5,X7,X3,X2) & shortest_path1(X0,X8,X2) & ! [X17 : vertex1] : (closure1(X5,X7,X3,X17) | X8 = X17) & X1 != X8 & mem(vertex,t2tb1(X8),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X8),t2tb(X4))) = X7) & ~is_empty(vertex,t2tb(X4)) & true1 != X6 & (is_empty(vertex,t2tb(X4)) | true1 != X6) & (true1 = X6 | ~is_empty(vertex,t2tb(X4)))) & ! [X18 : vertex1] : closure1(X5,X4,X3,X18) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2))),
1.71/0.56	  inference(rectify,[],[f187])).
1.71/0.56	tff(f187,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X7 : bool1] : (? [X8 : set_vertex,X9 : vertex1] : (? [X11 : set_vertex,X12 : set_vertex] : (? [X14 : bool1] : (? [X15 : set_vertex] : (? [X16 : set_vertex] : (? [X17 : $int] : (? [X18 : vertex1] : ~closure1(X12,X15,X16,X18) & $sum(X2,1) = X17) & tb2t(empty(vertex)) = X16) & X11 = X15) & true1 = X14 & (true1 = X14 | ~is_empty(vertex,t2tb(X8))) & (is_empty(vertex,t2tb(X8)) | true1 != X14)) & subset(vertex,t2tb(succ1(X9)),t2tb(X12)) & ! [X13 : vertex1] : closure1(X12,X8,X11,X13) & inv1(X0,X1,X12,X8,X11,X2)) & inv1(X0,X1,X5,X8,X3,X2) & shortest_path1(X0,X9,X2) & ! [X10 : vertex1] : (closure1(X5,X8,X3,X10) | X9 = X10) & X1 != X9 & mem(vertex,t2tb1(X9),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X9),t2tb(X4))) = X8) & ~is_empty(vertex,t2tb(X4)) & true1 != X7 & (is_empty(vertex,t2tb(X4)) | true1 != X7) & (true1 = X7 | ~is_empty(vertex,t2tb(X4)))) & ! [X6 : vertex1] : closure1(X5,X4,X3,X6) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2))),
1.71/0.56	  inference(flattening,[],[f186])).
1.71/0.56	tff(f186,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X7 : bool1] : (? [X8 : set_vertex,X9 : vertex1] : (? [X11 : set_vertex,X12 : set_vertex] : (? [X14 : bool1] : (? [X15 : set_vertex] : (? [X16 : set_vertex] : (? [X17 : $int] : (? [X18 : vertex1] : ~closure1(X12,X15,X16,X18) & $sum(X2,1) = X17) & tb2t(empty(vertex)) = X16) & X11 = X15) & true1 = X14 & ((true1 = X14 | ~is_empty(vertex,t2tb(X8))) & (is_empty(vertex,t2tb(X8)) | true1 != X14))) & subset(vertex,t2tb(succ1(X9)),t2tb(X12)) & ! [X13 : vertex1] : closure1(X12,X8,X11,X13) & inv1(X0,X1,X12,X8,X11,X2)) & inv1(X0,X1,X5,X8,X3,X2) & shortest_path1(X0,X9,X2) & ! [X10 : vertex1] : (closure1(X5,X8,X3,X10) | X9 = X10) & X1 != X9 & mem(vertex,t2tb1(X9),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X9),t2tb(X4))) = X8) & ~is_empty(vertex,t2tb(X4)) & true1 != X7 & ((is_empty(vertex,t2tb(X4)) | true1 != X7) & (true1 = X7 | ~is_empty(vertex,t2tb(X4))))) & ! [X6 : vertex1] : closure1(X5,X4,X3,X6) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2))),
1.71/0.56	  inference(nnf_transformation,[],[f135])).
1.71/0.56	tff(f135,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X7 : bool1] : (? [X8 : set_vertex,X9 : vertex1] : (? [X11 : set_vertex,X12 : set_vertex] : (? [X14 : bool1] : (? [X15 : set_vertex] : (? [X16 : set_vertex] : (? [X17 : $int] : (? [X18 : vertex1] : ~closure1(X12,X15,X16,X18) & $sum(X2,1) = X17) & tb2t(empty(vertex)) = X16) & X11 = X15) & true1 = X14 & (true1 = X14 <=> is_empty(vertex,t2tb(X8)))) & subset(vertex,t2tb(succ1(X9)),t2tb(X12)) & ! [X13 : vertex1] : closure1(X12,X8,X11,X13) & inv1(X0,X1,X12,X8,X11,X2)) & inv1(X0,X1,X5,X8,X3,X2) & shortest_path1(X0,X9,X2) & ! [X10 : vertex1] : (closure1(X5,X8,X3,X10) | X9 = X10) & X1 != X9 & mem(vertex,t2tb1(X9),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X9),t2tb(X4))) = X8) & ~is_empty(vertex,t2tb(X4)) & true1 != X7 & (is_empty(vertex,t2tb(X4)) <=> true1 = X7)) & ! [X6 : vertex1] : closure1(X5,X4,X3,X6) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2))),
1.71/0.56	  inference(flattening,[],[f134])).
1.71/0.56	tff(f134,plain,(
1.71/0.56	  ? [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : (? [X7 : bool1] : (((? [X8 : set_vertex,X9 : vertex1] : (((? [X11 : set_vertex,X12 : set_vertex] : (? [X14 : bool1] : ((? [X15 : set_vertex] : (? [X16 : set_vertex] : (? [X17 : $int] : (? [X18 : vertex1] : ~closure1(X12,X15,X16,X18) & $sum(X2,1) = X17) & tb2t(empty(vertex)) = X16) & X11 = X15) & true1 = X14) & (true1 = X14 <=> is_empty(vertex,t2tb(X8)))) & (subset(vertex,t2tb(succ1(X9)),t2tb(X12)) & ! [X13 : vertex1] : closure1(X12,X8,X11,X13) & inv1(X0,X1,X12,X8,X11,X2))) & (inv1(X0,X1,X5,X8,X3,X2) & shortest_path1(X0,X9,X2) & ! [X10 : vertex1] : (closure1(X5,X8,X3,X10) | X9 = X10))) & X1 != X9) & (mem(vertex,t2tb1(X9),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X9),t2tb(X4))) = X8)) & ~is_empty(vertex,t2tb(X4))) & true1 != X7) & (is_empty(vertex,t2tb(X4)) <=> true1 = X7)) & (! [X6 : vertex1] : closure1(X5,X4,X3,X6) & ~$less(X2,0) & (is_empty(vertex,t2tb(X3)) | ~is_empty(vertex,t2tb(X4))) & inv1(X0,X1,X5,X4,X3,X2)))),
1.71/0.56	  inference(ennf_transformation,[],[f86])).
1.71/0.56	tff(f86,plain,(
1.71/0.56	  ~! [X0 : vertex1,X1 : vertex1,X2 : $int,X3 : set_vertex,X4 : set_vertex,X5 : set_vertex] : ((! [X6 : vertex1] : closure1(X5,X4,X3,X6) & ~$less(X2,0) & (is_empty(vertex,t2tb(X4)) => is_empty(vertex,t2tb(X3))) & inv1(X0,X1,X5,X4,X3,X2)) => ! [X7 : bool1] : ((is_empty(vertex,t2tb(X4)) <=> true1 = X7) => (true1 != X7 => (~is_empty(vertex,t2tb(X4)) => ! [X8 : set_vertex,X9 : vertex1] : ((mem(vertex,t2tb1(X9),t2tb(X4)) & tb2t(remove(vertex,t2tb1(X9),t2tb(X4))) = X8) => (X1 != X9 => ((inv1(X0,X1,X5,X8,X3,X2) & shortest_path1(X0,X9,X2) & ! [X10 : vertex1] : (X9 != X10 => closure1(X5,X8,X3,X10))) => ! [X11 : set_vertex,X12 : set_vertex] : ((subset(vertex,t2tb(succ1(X9)),t2tb(X12)) & ! [X13 : vertex1] : closure1(X12,X8,X11,X13) & inv1(X0,X1,X12,X8,X11,X2)) => ! [X14 : bool1] : ((true1 = X14 <=> is_empty(vertex,t2tb(X8))) => (true1 = X14 => ! [X15 : set_vertex] : (X11 = X15 => ! [X16 : set_vertex] : (tb2t(empty(vertex)) = X16 => ! [X17 : $int] : ($sum(X2,1) = X17 => ! [X18 : vertex1] : closure1(X12,X15,X16,X18))))))))))))))),
1.71/0.56	  inference(rectify,[],[f61])).
1.71/0.57	% (20496)dis+1010_4_add=off:afp=100000:afq=1.0:anc=none:fsr=off:gs=on:gsem=off:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sac=on:tha=off:thf=on_179 on theBenchmark
1.71/0.57	tff(f61,plain,(
1.71/0.57	  ~! [X3 : vertex1,X20 : vertex1,X21 : $int,X19 : set_vertex,X18 : set_vertex,X17 : set_vertex] : ((! [X1 : vertex1] : closure1(X17,X18,X19,X1) & ~$less(X21,0) & (is_empty(vertex,t2tb(X18)) => is_empty(vertex,t2tb(X19))) & inv1(X3,X20,X17,X18,X19,X21)) => ! [X22 : bool1] : ((is_empty(vertex,t2tb(X18)) <=> true1 = X22) => (true1 != X22 => (~is_empty(vertex,t2tb(X18)) => ! [X23 : set_vertex,X16 : vertex1] : ((mem(vertex,t2tb1(X16),t2tb(X18)) & tb2t(remove(vertex,t2tb1(X16),t2tb(X18))) = X23) => (X16 != X20 => ((inv1(X3,X20,X17,X23,X19,X21) & shortest_path1(X3,X16,X21) & ! [X1 : vertex1] : (X1 != X16 => closure1(X17,X23,X19,X1))) => ! [X24 : set_vertex,X25 : set_vertex] : ((subset(vertex,t2tb(succ1(X16)),t2tb(X25)) & ! [X1 : vertex1] : closure1(X25,X23,X24,X1) & inv1(X3,X20,X25,X23,X24,X21)) => ! [X26 : bool1] : ((true1 = X26 <=> is_empty(vertex,t2tb(X23))) => (true1 = X26 => ! [X27 : set_vertex] : (X24 = X27 => ! [X28 : set_vertex] : (tb2t(empty(vertex)) = X28 => ! [X29 : $int] : ($sum(X21,1) = X29 => ! [X1 : vertex1] : closure1(X25,X27,X28,X1))))))))))))))),
1.71/0.57	  inference(theory_normalization,[],[f36])).
1.71/0.57	tff(f36,negated_conjecture,(
1.71/0.57	  ~! [X3 : vertex1,X20 : vertex1,X21 : $int,X19 : set_vertex,X18 : set_vertex,X17 : set_vertex] : ((! [X1 : vertex1] : closure1(X17,X18,X19,X1) & $lesseq(0,X21) & (is_empty(vertex,t2tb(X18)) => is_empty(vertex,t2tb(X19))) & inv1(X3,X20,X17,X18,X19,X21)) => ! [X22 : bool1] : ((is_empty(vertex,t2tb(X18)) <=> true1 = X22) => (true1 != X22 => (~is_empty(vertex,t2tb(X18)) => ! [X23 : set_vertex,X16 : vertex1] : ((mem(vertex,t2tb1(X16),t2tb(X18)) & tb2t(remove(vertex,t2tb1(X16),t2tb(X18))) = X23) => (X16 != X20 => ((inv1(X3,X20,X17,X23,X19,X21) & shortest_path1(X3,X16,X21) & ! [X1 : vertex1] : (X1 != X16 => closure1(X17,X23,X19,X1))) => ! [X24 : set_vertex,X25 : set_vertex] : ((subset(vertex,t2tb(succ1(X16)),t2tb(X25)) & ! [X1 : vertex1] : closure1(X25,X23,X24,X1) & inv1(X3,X20,X25,X23,X24,X21)) => ! [X26 : bool1] : ((true1 = X26 <=> is_empty(vertex,t2tb(X23))) => (true1 = X26 => ! [X27 : set_vertex] : (X24 = X27 => ! [X28 : set_vertex] : (tb2t(empty(vertex)) = X28 => ! [X29 : $int] : ($sum(X21,1) = X29 => ! [X1 : vertex1] : closure1(X25,X27,X28,X1))))))))))))))),
1.71/0.57	  inference(negated_conjecture,[],[f35])).
1.71/0.57	tff(f35,conjecture,(
1.71/0.57	  ! [X3 : vertex1,X20 : vertex1,X21 : $int,X19 : set_vertex,X18 : set_vertex,X17 : set_vertex] : ((! [X1 : vertex1] : closure1(X17,X18,X19,X1) & $lesseq(0,X21) & (is_empty(vertex,t2tb(X18)) => is_empty(vertex,t2tb(X19))) & inv1(X3,X20,X17,X18,X19,X21)) => ! [X22 : bool1] : ((is_empty(vertex,t2tb(X18)) <=> true1 = X22) => (true1 != X22 => (~is_empty(vertex,t2tb(X18)) => ! [X23 : set_vertex,X16 : vertex1] : ((mem(vertex,t2tb1(X16),t2tb(X18)) & tb2t(remove(vertex,t2tb1(X16),t2tb(X18))) = X23) => (X16 != X20 => ((inv1(X3,X20,X17,X23,X19,X21) & shortest_path1(X3,X16,X21) & ! [X1 : vertex1] : (X1 != X16 => closure1(X17,X23,X19,X1))) => ! [X24 : set_vertex,X25 : set_vertex] : ((subset(vertex,t2tb(succ1(X16)),t2tb(X25)) & ! [X1 : vertex1] : closure1(X25,X23,X24,X1) & inv1(X3,X20,X25,X23,X24,X21)) => ! [X26 : bool1] : ((true1 = X26 <=> is_empty(vertex,t2tb(X23))) => (true1 = X26 => ! [X27 : set_vertex] : (X24 = X27 => ! [X28 : set_vertex] : (tb2t(empty(vertex)) = X28 => ! [X29 : $int] : ($sum(X21,1) = X29 => ! [X1 : vertex1] : closure1(X25,X27,X28,X1))))))))))))))),
1.71/0.57	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_bfs)).
1.71/0.57	tff(f1410,plain,(
1.71/0.57	  ~mem(vertex,t2tb1(sK34(sK16,sK21)),t2tb(succ1(sK21)))),
1.71/0.57	  inference(unit_resulting_resolution,[],[f1250,f488,f422])).
1.71/0.57	tff(f422,plain,(
1.71/0.57	  ( ! [X0:set_vertex,X5:vertex1,X3:vertex1] : (mem(vertex,t2tb1(X5),t2tb(X0)) | ~mem(vertex,t2tb1(X5),t2tb(succ1(X3))) | sP45(X3,X0)) )),
1.71/0.57	  inference(cnf_transformation,[],[f422_D])).
1.71/0.57	tff(f422_D,plain,(
1.71/0.57	  ( ! [X0,X3] : (( ! [X5] : (mem(vertex,t2tb1(X5),t2tb(X0)) | ~mem(vertex,t2tb1(X5),t2tb(succ1(X3)))) ) <=> ~sP45(X3,X0)) )),
1.71/0.57	  introduced(general_splitting_component_introduction,[new_symbols(naming,[sP45])])).
1.71/0.57	tff(f488,plain,(
1.71/0.57	  ~mem(vertex,t2tb1(sK34(sK16,sK21)),t2tb(sK16))),
1.71/0.57	  inference(unit_resulting_resolution,[],[f287,f373])).
1.71/0.57	tff(f373,plain,(
1.71/0.57	  ( ! [X2:set_vertex,X0:set_vertex,X3:vertex1,X1:set_vertex] : (closure1(X0,X1,X2,X3) | ~mem(vertex,t2tb1(sK34(X0,X3)),t2tb(X0))) )),
1.71/0.57	  inference(cnf_transformation,[],[f234])).
1.71/0.57	tff(f1250,plain,(
1.71/0.57	  ~sP45(sK21,sK16)),
1.71/0.57	  inference(unit_resulting_resolution,[],[f279,f484,f464,f490,f423])).
1.71/0.57	tff(f423,plain,(
1.71/0.57	  ( ! [X2:set_vertex,X0:set_vertex,X3:vertex1,X1:set_vertex] : (mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0)) | ~closure1(X0,X1,X2,X3) | ~sP45(X3,X0)) )),
1.71/0.57	  inference(general_splitting,[],[f368,f422_D])).
1.71/0.57	tff(f368,plain,(
1.71/0.57	  ( ! [X2:set_vertex,X0:set_vertex,X5:vertex1,X3:vertex1,X1:set_vertex] : (mem(vertex,t2tb1(X5),t2tb(X0)) | ~mem(vertex,t2tb1(X5),t2tb(succ1(X3))) | mem(vertex,t2tb1(X3),t2tb(X2)) | mem(vertex,t2tb1(X3),t2tb(X1)) | ~mem(vertex,t2tb1(X3),t2tb(X0)) | ~closure1(X0,X1,X2,X3)) )),
1.71/0.57	  inference(cnf_transformation,[],[f234])).
1.71/0.57	tff(f490,plain,(
1.71/0.57	  ~mem(vertex,t2tb1(sK21),t2tb(sK15))),
1.71/0.57	  inference(forward_demodulation,[],[f485,f284])).
1.71/0.57	tff(f284,plain,(
1.71/0.57	  sK15 = sK18),
1.71/0.57	  inference(cnf_transformation,[],[f198])).
1.71/0.57	tff(f485,plain,(
1.71/0.57	  ~mem(vertex,t2tb1(sK21),t2tb(sK18))),
1.71/0.57	  inference(unit_resulting_resolution,[],[f287,f370])).
1.71/0.57	tff(f370,plain,(
1.71/0.57	  ( ! [X2:set_vertex,X0:set_vertex,X3:vertex1,X1:set_vertex] : (closure1(X0,X1,X2,X3) | ~mem(vertex,t2tb1(X3),t2tb(X1))) )),
1.71/0.57	  inference(cnf_transformation,[],[f234])).
1.71/0.57	tff(f464,plain,(
1.71/0.57	  ( ! [X0:uni] : (~mem(vertex,X0,t2tb(sK13))) )),
1.71/0.57	  inference(unit_resulting_resolution,[],[f450,f311])).
1.71/0.57	tff(f311,plain,(
1.71/0.57	  ( ! [X2:uni,X0:ty,X1:uni] : (~mem(X0,X2,X1) | ~is_empty(X0,X1)) )),
1.71/0.57	  inference(cnf_transformation,[],[f204])).
1.71/0.57	tff(f204,plain,(
1.71/0.57	  ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : ~mem(X0,X2,X1) | ~is_empty(X0,X1)) & (is_empty(X0,X1) | (mem(X0,sK24(X0,X1),X1) & sort1(X0,sK24(X0,X1)))))),
1.71/0.57	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f140,f203])).
1.71/0.57	tff(f203,plain,(
1.71/0.57	  ! [X1 : uni,X0 : ty] : (? [X3 : uni] : (mem(X0,X3,X1) & sort1(X0,X3)) => (mem(X0,sK24(X0,X1),X1) & sort1(X0,sK24(X0,X1))))),
1.71/0.57	  introduced(choice_axiom,[])).
1.71/0.57	tff(f140,plain,(
1.71/0.57	  ! [X0 : ty,X1 : uni] : ((! [X2 : uni] : ~mem(X0,X2,X1) | ~is_empty(X0,X1)) & (is_empty(X0,X1) | ? [X3 : uni] : (mem(X0,X3,X1) & sort1(X0,X3))))),
1.71/0.57	  inference(ennf_transformation,[],[f99])).
1.71/0.57	tff(f99,plain,(
1.71/0.57	  ! [X0 : ty,X1 : uni] : ((is_empty(X0,X1) => ! [X2 : uni] : ~mem(X0,X2,X1)) & (! [X3 : uni] : (sort1(X0,X3) => ~mem(X0,X3,X1)) => is_empty(X0,X1)))),
1.71/0.57	  inference(rectify,[],[f6])).
1.71/0.57	tff(f6,axiom,(
1.71/0.57	  ! [X0 : ty,X3 : uni] : ((is_empty(X0,X3) => ! [X1 : uni] : ~mem(X0,X1,X3)) & (! [X1 : uni] : (sort1(X0,X1) => ~mem(X0,X1,X3)) => is_empty(X0,X3)))),
1.71/0.57	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',is_empty_def)).
1.71/0.57	tff(f450,plain,(
1.71/0.57	  is_empty(vertex,t2tb(sK13))),
1.71/0.57	  inference(subsumption_resolution,[],[f281,f283])).
1.71/0.57	tff(f283,plain,(
1.71/0.57	  true1 = sK17),
1.71/0.57	  inference(cnf_transformation,[],[f198])).
1.71/0.57	tff(f281,plain,(
1.71/0.57	  is_empty(vertex,t2tb(sK13)) | true1 != sK17),
1.71/0.57	  inference(cnf_transformation,[],[f198])).
1.71/0.57	tff(f484,plain,(
1.71/0.57	  mem(vertex,t2tb1(sK21),t2tb(sK16))),
1.71/0.57	  inference(unit_resulting_resolution,[],[f287,f369])).
1.71/0.57	tff(f369,plain,(
1.71/0.57	  ( ! [X2:set_vertex,X0:set_vertex,X3:vertex1,X1:set_vertex] : (closure1(X0,X1,X2,X3) | mem(vertex,t2tb1(X3),t2tb(X0))) )),
1.71/0.57	  inference(cnf_transformation,[],[f234])).
1.71/0.57	tff(f279,plain,(
1.71/0.57	  ( ! [X16:vertex1] : (closure1(sK16,sK13,sK15,X16)) )),
1.71/0.57	  inference(cnf_transformation,[],[f198])).
1.71/0.57	% SZS output end Proof for theBenchmark
1.71/0.57	% (20497)------------------------------
1.71/0.57	% (20497)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100)
1.71/0.57	% (20497)Termination reason: Refutation
1.71/0.57	
1.71/0.57	% (20497)Memory used [KB]: 3454
1.71/0.57	% (20497)Time elapsed: 0.166 s
1.71/0.57	% (20497)------------------------------
1.71/0.57	% (20497)------------------------------
1.71/0.57	% (20477)Success in time 0.237 s
1.71/0.57	EOF