0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.34 % Computer : n016.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:33:57 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.34 This is a TFF_ problem 0.13/0.34 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % (26345)Running in auto input_syntax mode. Trying TPTP 0.13/0.39 % (26351)dis-3_4_add=off:afp=40000:afq=1.1:amm=off:anc=none:bs=unit_only:cond=fast:fsr=off:gs=on:inw=on:lma=on:nm=64:nwc=1.5:nicw=on:sas=z3:sp=reverse_arity:tha=off:thf=on:uhcvi=on_13 on theBenchmark 0.13/0.41 % (26353)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 0.21/0.41 % (26347)ott+1_3:1_av=off:bd=off:fsr=off:fde=none:gs=on:inw=on:nm=2:nwc=1.5:sp=frequency:uwa=one_side_interpreted_22 on theBenchmark 0.21/0.41 % (26348)dis+1011_5_aac=none:add=large:afp=40000:afq=1.2:amm=off:anc=none:bd=off:fsr=off:gsp=on:inw=on:irw=on:lma=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:updr=off_26 on theBenchmark 0.21/0.41 % (26349)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 0.21/0.41 % (26350)lrs-11_1_av=off:cond=on:gs=on:lcm=reverse:lma=on:lwlo=on:nm=16:nwc=5:stl=30:sp=reverse_arity:tha=off:thi=strong:uwa=interpreted_only_58 on theBenchmark 0.21/0.41 % (26346)ott+10_3:2_aac=none:add=large:afp=10000:afq=2.0:amm=off:fsr=off:fde=none:gs=on:gsaa=from_current:gsem=off:lcm=reverse:lma=on:nm=0:nwc=4:sas=z3:updr=off_22 on theBenchmark 0.21/0.41 % (26352)lrs+1_5:4_aac=none:add=off:afr=on:afp=4000:afq=1.2:amm=sco:anc=none:gsp=on:gs=on:irw=on:nm=64:newcnf=on:nwc=1.3:nicw=on:sas=z3:stl=30:sp=occurrence:tha=off_3 on theBenchmark 0.21/0.52 % (26350)First to succeed. 0.21/0.53 % (26350)Refutation found. Thanks to Tanya! 0.21/0.53 % SZS status Theorem for theBenchmark 0.21/0.53 % SZS output start Proof for theBenchmark 0.21/0.53 tff(type_def_5, type, uni: $tType). 0.21/0.53 tff(type_def_6, type, ty: $tType). 0.21/0.53 tff(type_def_7, type, bool: $tType). 0.21/0.53 tff(type_def_8, type, tuple0: $tType). 0.21/0.53 tff(type_def_9, type, elt: $tType). 0.21/0.53 tff(type_def_10, type, list_elt: $tType). 0.21/0.53 tff(func_def_0, type, witness: (ty) > uni). 0.21/0.53 tff(func_def_1, type, int: ty). 0.21/0.53 tff(func_def_2, type, real: ty). 0.21/0.53 tff(func_def_3, type, bool1: ty). 0.21/0.53 tff(func_def_4, type, true: bool). 0.21/0.53 tff(func_def_5, type, false: bool). 0.21/0.53 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni). 0.21/0.53 tff(func_def_7, type, tuple01: ty). 0.21/0.53 tff(func_def_8, type, tuple02: tuple0). 0.21/0.53 tff(func_def_9, type, qtmark: ty). 0.21/0.53 tff(func_def_10, type, list: (ty) > ty). 0.21/0.53 tff(func_def_11, type, nil: (ty) > uni). 0.21/0.53 tff(func_def_12, type, cons: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni). 0.21/0.53 tff(func_def_14, type, cons_proj_1: (ty * uni) > uni). 0.21/0.53 tff(func_def_15, type, cons_proj_2: (ty * uni) > uni). 0.21/0.53 tff(func_def_16, type, length: (ty * uni) > $int). 0.21/0.53 tff(func_def_17, type, infix_plpl: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_18, type, num_occ: (ty * uni * uni) > $int). 0.21/0.53 tff(func_def_19, type, reverse: (ty * uni) > uni). 0.21/0.53 tff(func_def_20, type, elt1: ty). 0.21/0.53 tff(func_def_21, type, t2tb: (list_elt) > uni). 0.21/0.53 tff(func_def_22, type, tb2t: (uni) > list_elt). 0.21/0.53 tff(func_def_23, type, t2tb1: (elt) > uni). 0.21/0.53 tff(func_def_24, type, tb2t1: (uni) > elt). 0.21/0.53 tff(func_def_25, type, rev_append: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_30, type, sK0: list_elt). 0.21/0.53 tff(func_def_31, type, sK1: list_elt). 0.21/0.53 tff(func_def_32, type, sK2: list_elt). 0.21/0.53 tff(func_def_33, type, sK3: elt). 0.21/0.53 tff(func_def_34, type, sK4: list_elt). 0.21/0.53 tff(func_def_35, type, sK5: (list_elt) > elt). 0.21/0.53 tff(func_def_36, type, sK6: (list_elt) > elt). 0.21/0.53 tff(func_def_37, type, sK7: (list_elt) > list_elt). 0.21/0.53 tff(func_def_38, type, sK8: (list_elt) > elt). 0.21/0.53 tff(func_def_39, type, sK9: (list_elt * list_elt) > elt). 0.21/0.53 tff(func_def_40, type, sK10: (list_elt * list_elt) > elt). 0.21/0.53 tff(func_def_41, type, sK11: (list_elt * elt) > elt). 0.21/0.53 tff(func_def_42, type, sK12: (list_elt * list_elt) > elt). 0.21/0.53 tff(func_def_43, type, sK13: (list_elt * list_elt) > elt). 0.21/0.53 tff(func_def_44, type, sK14: (elt * list_elt) > elt). 0.21/0.53 tff(func_def_45, type, sK15: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_46, type, sK16: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_47, type, sK17: (ty * uni * uni) > uni). 0.21/0.53 tff(func_def_56, type, '$inst18': $int). 0.21/0.53 tff(func_def_57, type, '$inst19': $int). 0.21/0.53 tff(func_def_58, type, '$inst20': $int). 0.21/0.53 tff(pred_def_1, type, sort: (ty * uni) > $o). 0.21/0.53 tff(pred_def_2, type, mem: (ty * uni * uni) > $o). 0.21/0.53 tff(pred_def_3, type, permut: (ty * uni * uni) > $o). 0.21/0.53 tff(pred_def_4, type, le: (elt * elt) > $o). 0.21/0.53 tff(pred_def_5, type, sorted: (list_elt) > $o). 0.21/0.53 tff(f1751,plain,( 0.21/0.53 $false), 0.21/0.53 inference(subsumption_resolution,[],[f1750,f233])). 0.21/0.53 tff(f233,plain,( 0.21/0.53 sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(cnf_transformation,[],[f201])). 0.21/0.53 tff(f201,plain,( 0.21/0.53 (~sorted(tb2t(rev_append(elt1,t2tb(sK1),t2tb(sK2)))) & tb2t(nil(elt1)) = sK0 & sK1 = tb2t(cons(elt1,t2tb1(sK3),t2tb(sK4)))) & sorted(sK2) & sorted(tb2t(reverse(elt1,t2tb(sK1)))) & ! [X5 : elt,X6 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(sK1)) | ~mem(elt1,t2tb1(X5),t2tb(sK2))) & ! [X7 : elt,X8 : elt] : (le(X8,X7) | ~mem(elt1,t2tb1(X8),t2tb(sK0)) | ~mem(elt1,t2tb1(X7),t2tb(sK2))) & sorted(tb2t(reverse(elt1,t2tb(sK0))))), 0.21/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f198,f200,f199])). 0.21/0.53 tff(f199,plain,( 0.21/0.53 ? [X0 : list_elt,X1 : list_elt,X2 : list_elt] : (? [X3 : elt,X4 : list_elt] : (~sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) & tb2t(nil(elt1)) = X0 & tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = X1) & sorted(X2) & sorted(tb2t(reverse(elt1,t2tb(X1)))) & ! [X5 : elt,X6 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(X1)) | ~mem(elt1,t2tb1(X5),t2tb(X2))) & ! [X7 : elt,X8 : elt] : (le(X8,X7) | ~mem(elt1,t2tb1(X8),t2tb(X0)) | ~mem(elt1,t2tb1(X7),t2tb(X2))) & sorted(tb2t(reverse(elt1,t2tb(X0))))) => (? [X4 : list_elt,X3 : elt] : (~sorted(tb2t(rev_append(elt1,t2tb(sK1),t2tb(sK2)))) & tb2t(nil(elt1)) = sK0 & tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = sK1) & sorted(sK2) & sorted(tb2t(reverse(elt1,t2tb(sK1)))) & ! [X6 : elt,X5 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(sK1)) | ~mem(elt1,t2tb1(X5),t2tb(sK2))) & ! [X8 : elt,X7 : elt] : (le(X8,X7) | ~mem(elt1,t2tb1(X8),t2tb(sK0)) | ~mem(elt1,t2tb1(X7),t2tb(sK2))) & sorted(tb2t(reverse(elt1,t2tb(sK0)))))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 tff(f200,plain,( 0.21/0.53 ? [X4 : list_elt,X3 : elt] : (~sorted(tb2t(rev_append(elt1,t2tb(sK1),t2tb(sK2)))) & tb2t(nil(elt1)) = sK0 & tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = sK1) => (~sorted(tb2t(rev_append(elt1,t2tb(sK1),t2tb(sK2)))) & tb2t(nil(elt1)) = sK0 & sK1 = tb2t(cons(elt1,t2tb1(sK3),t2tb(sK4))))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 tff(f198,plain,( 0.21/0.53 ? [X0 : list_elt,X1 : list_elt,X2 : list_elt] : (? [X3 : elt,X4 : list_elt] : (~sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) & tb2t(nil(elt1)) = X0 & tb2t(cons(elt1,t2tb1(X3),t2tb(X4))) = X1) & sorted(X2) & sorted(tb2t(reverse(elt1,t2tb(X1)))) & ! [X5 : elt,X6 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(X1)) | ~mem(elt1,t2tb1(X5),t2tb(X2))) & ! [X7 : elt,X8 : elt] : (le(X8,X7) | ~mem(elt1,t2tb1(X8),t2tb(X0)) | ~mem(elt1,t2tb1(X7),t2tb(X2))) & sorted(tb2t(reverse(elt1,t2tb(X0)))))), 0.21/0.53 inference(rectify,[],[f161])). 0.21/0.53 tff(f161,plain,( 0.21/0.53 ? [X0 : list_elt,X1 : list_elt,X2 : list_elt] : (? [X7 : elt,X8 : list_elt] : (~sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) & tb2t(nil(elt1)) = X0 & tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1) & sorted(X2) & sorted(tb2t(reverse(elt1,t2tb(X1)))) & ! [X3 : elt,X4 : elt] : (le(X4,X3) | ~mem(elt1,t2tb1(X4),t2tb(X1)) | ~mem(elt1,t2tb1(X3),t2tb(X2))) & ! [X5 : elt,X6 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(X0)) | ~mem(elt1,t2tb1(X5),t2tb(X2))) & sorted(tb2t(reverse(elt1,t2tb(X0)))))), 0.21/0.53 inference(flattening,[],[f160])). 0.21/0.53 tff(f160,plain,( 0.21/0.53 ? [X0 : list_elt,X1 : list_elt,X2 : list_elt] : (? [X7 : elt,X8 : list_elt] : ((~sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))) & tb2t(nil(elt1)) = X0) & tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1) & (sorted(X2) & sorted(tb2t(reverse(elt1,t2tb(X1)))) & ! [X3 : elt,X4 : elt] : ((le(X4,X3) | ~mem(elt1,t2tb1(X4),t2tb(X1))) | ~mem(elt1,t2tb1(X3),t2tb(X2))) & ! [X5 : elt,X6 : elt] : ((le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(X0))) | ~mem(elt1,t2tb1(X5),t2tb(X2))) & sorted(tb2t(reverse(elt1,t2tb(X0))))))), 0.21/0.53 inference(ennf_transformation,[],[f83])). 0.21/0.53 tff(f83,plain,( 0.21/0.53 ~! [X0 : list_elt,X1 : list_elt,X2 : list_elt] : ((sorted(X2) & sorted(tb2t(reverse(elt1,t2tb(X1)))) & ! [X3 : elt,X4 : elt] : (mem(elt1,t2tb1(X3),t2tb(X2)) => (mem(elt1,t2tb1(X4),t2tb(X1)) => le(X4,X3))) & ! [X5 : elt,X6 : elt] : (mem(elt1,t2tb1(X5),t2tb(X2)) => (mem(elt1,t2tb1(X6),t2tb(X0)) => le(X6,X5))) & sorted(tb2t(reverse(elt1,t2tb(X0))))) => ! [X7 : elt,X8 : list_elt] : (tb2t(cons(elt1,t2tb1(X7),t2tb(X8))) = X1 => (tb2t(nil(elt1)) = X0 => sorted(tb2t(rev_append(elt1,t2tb(X1),t2tb(X2)))))))), 0.21/0.53 inference(rectify,[],[f56])). 0.21/0.53 tff(f56,negated_conjecture,( 0.21/0.53 ~! [X5 : list_elt,X6 : list_elt,X22 : list_elt] : ((sorted(X22) & sorted(tb2t(reverse(elt1,t2tb(X6)))) & ! [X1 : elt,X2 : elt] : (mem(elt1,t2tb1(X1),t2tb(X22)) => (mem(elt1,t2tb1(X2),t2tb(X6)) => le(X2,X1))) & ! [X1 : elt,X2 : elt] : (mem(elt1,t2tb1(X1),t2tb(X22)) => (mem(elt1,t2tb1(X2),t2tb(X5)) => le(X2,X1))) & sorted(tb2t(reverse(elt1,t2tb(X5))))) => ! [X1 : elt,X11 : list_elt] : (tb2t(cons(elt1,t2tb1(X1),t2tb(X11))) = X6 => (tb2t(nil(elt1)) = X5 => sorted(tb2t(rev_append(elt1,t2tb(X6),t2tb(X22)))))))), 0.21/0.53 inference(negated_conjecture,[],[f55])). 0.21/0.53 tff(f55,conjecture,( 0.21/0.53 ! [X5 : list_elt,X6 : list_elt,X22 : list_elt] : ((sorted(X22) & sorted(tb2t(reverse(elt1,t2tb(X6)))) & ! [X1 : elt,X2 : elt] : (mem(elt1,t2tb1(X1),t2tb(X22)) => (mem(elt1,t2tb1(X2),t2tb(X6)) => le(X2,X1))) & ! [X1 : elt,X2 : elt] : (mem(elt1,t2tb1(X1),t2tb(X22)) => (mem(elt1,t2tb1(X2),t2tb(X5)) => le(X2,X1))) & sorted(tb2t(reverse(elt1,t2tb(X5))))) => ! [X1 : elt,X11 : list_elt] : (tb2t(cons(elt1,t2tb1(X1),t2tb(X11))) = X6 => (tb2t(nil(elt1)) = X5 => sorted(tb2t(rev_append(elt1,t2tb(X6),t2tb(X22)))))))), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_merge_rev)). 0.21/0.53 tff(f1750,plain,( 0.21/0.53 ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(subsumption_resolution,[],[f1749,f234])). 0.21/0.53 tff(f234,plain,( 0.21/0.53 sorted(sK2)), 0.21/0.53 inference(cnf_transformation,[],[f201])). 0.21/0.53 tff(f1749,plain,( 0.21/0.53 ~sorted(sK2) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(subsumption_resolution,[],[f1743,f347])). 0.21/0.53 tff(f347,plain,( 0.21/0.53 ~sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK1)),t2tb(sK2))))), 0.21/0.53 inference(definition_unfolding,[],[f237,f305])). 0.21/0.53 tff(f305,plain,( 0.21/0.53 ( ! [X2 : uni,X0 : ty,X1 : uni] : (rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2)) )), 0.21/0.53 inference(cnf_transformation,[],[f126])). 0.21/0.53 tff(f126,plain,( 0.21/0.53 ! [X0 : ty,X1 : uni,X2 : uni] : rev_append(X0,X1,X2) = infix_plpl(X0,reverse(X0,X1),X2)), 0.21/0.53 inference(rectify,[],[f72])). 0.21/0.53 tff(f72,axiom,( 0.21/0.53 ! [X4 : ty,X20 : uni,X14 : uni] : rev_append(X4,X20,X14) = infix_plpl(X4,reverse(X4,X20),X14)), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rev_append_def1)). 0.21/0.53 tff(f237,plain,( 0.21/0.53 ~sorted(tb2t(rev_append(elt1,t2tb(sK1),t2tb(sK2))))), 0.21/0.53 inference(cnf_transformation,[],[f201])). 0.21/0.53 tff(f1743,plain,( 0.21/0.53 sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK1)),t2tb(sK2)))) | ~sorted(sK2) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(resolution,[],[f1730,f1396])). 0.21/0.53 tff(f1396,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) | sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(X0)),t2tb(X1)))) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(backward_demodulation,[],[f351,f1394])). 0.21/0.53 tff(f1394,plain,( 0.21/0.53 ( ! [X10 : uni,X8 : ty,X9 : uni] : (reverse(X8,infix_plpl(X8,reverse(X8,X9),X10)) = infix_plpl(X8,reverse(X8,X10),X9)) )), 0.21/0.53 inference(forward_demodulation,[],[f1359,f265])). 0.21/0.53 tff(f265,plain,( 0.21/0.53 ( ! [X0 : ty,X1 : uni] : (infix_plpl(X0,X1,nil(X0)) = X1) )), 0.21/0.53 inference(cnf_transformation,[],[f105])). 0.21/0.53 tff(f105,plain,( 0.21/0.53 ! [X0 : ty,X1 : uni] : infix_plpl(X0,X1,nil(X0)) = X1), 0.21/0.53 inference(rectify,[],[f44])). 0.21/0.53 tff(f44,axiom,( 0.21/0.53 ! [X4 : ty,X3 : uni] : infix_plpl(X4,X3,nil(X4)) = X3), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',append_l_nil)). 0.21/0.53 tff(f1359,plain,( 0.21/0.53 ( ! [X10 : uni,X8 : ty,X9 : uni] : (reverse(X8,infix_plpl(X8,reverse(X8,X9),X10)) = infix_plpl(X8,reverse(X8,X10),infix_plpl(X8,X9,nil(X8)))) )), 0.21/0.53 inference(superposition,[],[f355,f265])). 0.21/0.53 tff(f355,plain,( 0.21/0.53 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (infix_plpl(X0,reverse(X0,X1),infix_plpl(X0,X2,X3)) = infix_plpl(X0,reverse(X0,infix_plpl(X0,reverse(X0,X2),X1)),X3)) )), 0.21/0.53 inference(definition_unfolding,[],[f329,f305,f305,f305])). 0.21/0.53 tff(f329,plain,( 0.21/0.53 ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (rev_append(X0,X1,infix_plpl(X0,X2,X3)) = rev_append(X0,rev_append(X0,X2,X1),X3)) )), 0.21/0.53 inference(cnf_transformation,[],[f144])). 0.21/0.53 tff(f144,plain,( 0.21/0.53 ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : rev_append(X0,X1,infix_plpl(X0,X2,X3)) = rev_append(X0,rev_append(X0,X2,X1),X3)), 0.21/0.53 inference(rectify,[],[f49])). 0.21/0.53 tff(f49,axiom,( 0.21/0.53 ! [X4 : ty,X20 : uni,X14 : uni,X15 : uni] : rev_append(X4,X20,infix_plpl(X4,X14,X15)) = rev_append(X4,rev_append(X4,X14,X20),X15)), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rev_append_append_r)). 0.21/0.53 tff(f351,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0))))) | mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(definition_unfolding,[],[f281,f305])). 0.21/0.53 tff(f281,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(cnf_transformation,[],[f208])). 0.21/0.53 tff(f208,plain,( 0.21/0.53 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | (~le(sK9(X0,X1),sK10(X0,X1)) & mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) & mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0))) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 0.21/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f168,f207])). 0.21/0.53 tff(f207,plain,( 0.21/0.53 ! [X0 : list_elt,X1 : list_elt] : (? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) => (~le(sK9(X0,X1),sK10(X0,X1)) & mem(elt1,t2tb1(sK10(X0,X1)),t2tb(X1)) & mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0))))), 0.21/0.53 introduced(choice_axiom,[])). 0.21/0.53 tff(f168,plain,( 0.21/0.53 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | ? [X2 : elt,X3 : elt] : (~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1)) & mem(elt1,t2tb1(X2),t2tb(X0))) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 0.21/0.53 inference(flattening,[],[f167])). 0.21/0.53 tff(f167,plain,( 0.21/0.53 ! [X0 : list_elt,X1 : list_elt] : (((sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | ? [X2 : elt,X3 : elt] : ((~le(X2,X3) & mem(elt1,t2tb1(X3),t2tb(X1))) & mem(elt1,t2tb1(X2),t2tb(X0)))) | ~sorted(X1)) | ~sorted(tb2t(reverse(elt1,t2tb(X0)))))), 0.21/0.53 inference(ennf_transformation,[],[f113])). 0.21/0.53 tff(f113,plain,( 0.21/0.53 ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,t2tb(X0)))) => (sorted(X1) => (! [X2 : elt,X3 : elt] : (mem(elt1,t2tb1(X2),t2tb(X0)) => (mem(elt1,t2tb1(X3),t2tb(X1)) => le(X2,X3))) => sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))))))), 0.21/0.53 inference(rectify,[],[f68])). 0.21/0.53 tff(f68,axiom,( 0.21/0.53 ! [X23 : list_elt,X3 : list_elt] : (sorted(tb2t(reverse(elt1,t2tb(X23)))) => (sorted(X3) => (! [X1 : elt,X2 : elt] : (mem(elt1,t2tb1(X1),t2tb(X23)) => (mem(elt1,t2tb1(X2),t2tb(X3)) => le(X1,X2))) => sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X3),t2tb(X23))))))))), 0.21/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sorted_rev_append)). 0.21/0.53 tff(f1730,plain,( 0.21/0.53 ~mem(elt1,t2tb1(sK10(sK1,sK2)),t2tb(sK2))), 0.21/0.53 inference(subsumption_resolution,[],[f1729,f233])). 0.21/0.53 tff(f1729,plain,( 0.21/0.53 ~mem(elt1,t2tb1(sK10(sK1,sK2)),t2tb(sK2)) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(subsumption_resolution,[],[f1728,f234])). 0.21/0.53 tff(f1728,plain,( 0.21/0.53 ~mem(elt1,t2tb1(sK10(sK1,sK2)),t2tb(sK2)) | ~sorted(sK2) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(subsumption_resolution,[],[f1722,f347])). 0.21/0.53 tff(f1722,plain,( 0.21/0.53 ~mem(elt1,t2tb1(sK10(sK1,sK2)),t2tb(sK2)) | sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(sK1)),t2tb(sK2)))) | ~sorted(sK2) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(resolution,[],[f1577,f1395])). 0.21/0.53 tff(f1395,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0)) | sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(X0)),t2tb(X1)))) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(backward_demodulation,[],[f352,f1394])). 0.21/0.53 tff(f352,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0))))) | mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(definition_unfolding,[],[f280,f305])). 0.21/0.53 tff(f280,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | mem(elt1,t2tb1(sK9(X0,X1)),t2tb(X0)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(cnf_transformation,[],[f208])). 0.21/0.53 tff(f1577,plain,( 0.21/0.53 ~mem(elt1,t2tb1(sK9(sK1,sK2)),t2tb(sK1)) | ~mem(elt1,t2tb1(sK10(sK1,sK2)),t2tb(sK2))), 0.21/0.53 inference(resolution,[],[f1571,f232])). 0.21/0.53 tff(f232,plain,( 0.21/0.53 ( ! [X6 : elt,X5 : elt] : (le(X6,X5) | ~mem(elt1,t2tb1(X6),t2tb(sK1)) | ~mem(elt1,t2tb1(X5),t2tb(sK2))) )), 0.21/0.53 inference(cnf_transformation,[],[f201])). 0.21/0.53 tff(f1571,plain,( 0.21/0.53 ~le(sK9(sK1,sK2),sK10(sK1,sK2))), 0.21/0.53 inference(subsumption_resolution,[],[f1570,f233])). 0.21/0.53 tff(f1570,plain,( 0.21/0.53 ~le(sK9(sK1,sK2),sK10(sK1,sK2)) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(subsumption_resolution,[],[f1563,f234])). 0.21/0.53 tff(f1563,plain,( 0.21/0.53 ~le(sK9(sK1,sK2),sK10(sK1,sK2)) | ~sorted(sK2) | ~sorted(tb2t(reverse(elt1,t2tb(sK1))))), 0.21/0.53 inference(resolution,[],[f1397,f347])). 0.21/0.53 tff(f1397,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(infix_plpl(elt1,reverse(elt1,t2tb(X0)),t2tb(X1)))) | ~le(sK9(X0,X1),sK10(X0,X1)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(backward_demodulation,[],[f350,f1394])). 0.21/0.53 tff(f350,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,infix_plpl(elt1,reverse(elt1,t2tb(X1)),t2tb(X0))))) | ~le(sK9(X0,X1),sK10(X0,X1)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(definition_unfolding,[],[f282,f305])). 0.21/0.53 tff(f282,plain,( 0.21/0.53 ( ! [X0 : list_elt,X1 : list_elt] : (sorted(tb2t(reverse(elt1,rev_append(elt1,t2tb(X1),t2tb(X0))))) | ~le(sK9(X0,X1),sK10(X0,X1)) | ~sorted(X1) | ~sorted(tb2t(reverse(elt1,t2tb(X0))))) )), 0.21/0.53 inference(cnf_transformation,[],[f208])). 0.21/0.53 % SZS output end Proof for theBenchmark 0.21/0.53 % (26350)------------------------------ 0.21/0.53 % (26350)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.21/0.53 % (26350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.21/0.53 % (26350)Termination reason: Refutation 0.21/0.53 0.21/0.53 % (26350)Memory used [KB]: 9466 0.21/0.53 % (26350)Time elapsed: 0.113 s 0.21/0.53 % (26350)------------------------------ 0.21/0.53 % (26350)------------------------------ 0.21/0.53 % (26345)Success in time 0.177 s 0.21/0.53 EOF