0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.13/0.33 % Computer : n026.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % WCLimit : 120 0.13/0.33 % DateTime : Tue Aug 9 02:26:18 EDT 2022 0.13/0.33 % 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/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % (6861)Running in auto input_syntax mode. Trying TPTP 0.19/0.40 % (6865)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 0.19/0.40 % (6869)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 0.19/0.40 % (6866)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 0.19/0.40 % (6868)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 0.19/0.40 % (6863)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 0.19/0.40 % (6864)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 0.19/0.40 % (6862)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 0.19/0.40 % (6867)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 0.19/0.48 % (6868)First to succeed. 0.19/0.49 % (6868)Refutation found. Thanks to Tanya! 0.19/0.49 % SZS status Theorem for theBenchmark 0.19/0.49 % SZS output start Proof for theBenchmark 0.19/0.49 tff(type_def_5, type, uni: $tType). 0.19/0.49 tff(type_def_6, type, ty: $tType). 0.19/0.49 tff(type_def_7, type, bool1: $tType). 0.19/0.49 tff(type_def_8, type, tuple02: $tType). 0.19/0.49 tff(type_def_9, type, uf_pure1: $tType). 0.19/0.49 tff(type_def_10, type, uf1: $tType). 0.19/0.49 tff(type_def_11, type, graph1: $tType). 0.19/0.49 tff(func_def_0, type, witness1: (ty) > uni). 0.19/0.49 tff(func_def_1, type, int: ty). 0.19/0.49 tff(func_def_2, type, real: ty). 0.19/0.49 tff(func_def_3, type, bool: ty). 0.19/0.49 tff(func_def_4, type, true1: bool1). 0.19/0.49 tff(func_def_5, type, false1: bool1). 0.19/0.49 tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni). 0.19/0.49 tff(func_def_7, type, tuple0: ty). 0.19/0.49 tff(func_def_8, type, tuple03: tuple02). 0.19/0.49 tff(func_def_9, type, qtmark: ty). 0.19/0.49 tff(func_def_10, type, ref: (ty) > ty). 0.19/0.49 tff(func_def_11, type, mk_ref: (ty * uni) > uni). 0.19/0.49 tff(func_def_12, type, contents: (ty * uni) > uni). 0.19/0.49 tff(func_def_13, type, uf_pure: ty). 0.19/0.49 tff(func_def_14, type, size1: (uf_pure1) > $int). 0.19/0.49 tff(func_def_15, type, num1: (uf_pure1) > $int). 0.19/0.49 tff(func_def_16, type, uf: ty). 0.19/0.49 tff(func_def_17, type, mk_uf1: (uf_pure1) > uf1). 0.19/0.49 tff(func_def_18, type, state1: (uf1) > uf_pure1). 0.19/0.49 tff(func_def_19, type, graph: ty). 0.19/0.49 tff(func_def_24, type, sK0: $int). 0.19/0.49 tff(func_def_25, type, sK1: $int). 0.19/0.49 tff(func_def_26, type, sK2: graph1). 0.19/0.49 tff(func_def_27, type, sK3: uf_pure1). 0.19/0.49 tff(func_def_28, type, sK4: $int). 0.19/0.49 tff(func_def_29, type, sK5: $int). 0.19/0.49 tff(func_def_30, type, sK6: (uf_pure1 * $int) > $int). 0.19/0.49 tff(func_def_31, type, sK7: (graph1 * $int * $int) > graph1). 0.19/0.49 tff(func_def_32, type, sK8: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_33, type, sK9: (graph1 * $int * $int) > graph1). 0.19/0.49 tff(func_def_34, type, sK10: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_35, type, sK11: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_36, type, sK12: (graph1 * $int * $int) > graph1). 0.19/0.49 tff(func_def_37, type, sK13: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_38, type, sK14: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_39, type, sK15: (graph1 * $int * $int) > $int). 0.19/0.49 tff(func_def_40, type, sK16: (uf_pure1 * $int * $int) > $int). 0.19/0.49 tff(pred_def_1, type, sort1: (ty * uni) > $o). 0.19/0.49 tff(pred_def_2, type, repr1: (uf_pure1 * $int * $int) > $o). 0.19/0.49 tff(pred_def_3, type, same1: (uf_pure1 * $int * $int) > $o). 0.19/0.49 tff(pred_def_4, type, same_reprs1: (uf_pure1 * uf_pure1) > $o). 0.19/0.49 tff(pred_def_5, type, path1: (graph1 * $int * $int) > $o). 0.19/0.49 tff(f505,plain,( 0.19/0.49 $false), 0.19/0.49 inference(avatar_smt_refutation,[],[f190,f194,f198,f202,f213,f218,f223,f228,f236,f240,f244,f255,f259,f264,f269,f286,f291,f358,f365,f370,f379,f384,f394,f398,f402,f411,f415,f424,f428,f432,f449,f455,f458,f462,f469,f474,f479,f484,f502])). 0.19/0.49 tff(f502,plain,( 0.19/0.49 spl17_35), 0.19/0.49 inference(avatar_contradiction_clause,[],[f501])). 0.19/0.49 tff(f501,plain,( 0.19/0.49 $false | spl17_35), 0.19/0.49 inference(resolution,[],[f493,f461])). 0.19/0.49 tff(f461,plain,( 0.19/0.49 ~same1(sK3,sK4,sK4) | spl17_35), 0.19/0.49 inference(avatar_component_clause,[],[f453])). 0.19/0.49 tff(f453,plain,( 0.19/0.49 spl17_35 <=> same1(sK3,sK4,sK4)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_35])])). 0.19/0.49 tff(f493,plain,( 0.19/0.49 ( ! [X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X1)) )), 0.19/0.49 inference(subsumption_resolution,[],[f492,f176])). 0.19/0.49 tff(f176,plain,( 0.19/0.49 ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (~repr1(X0,X1,sK16(X0,X1,X2)) | ~repr1(X0,X2,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 0.19/0.49 inference(cnf_transformation,[],[f50])). 0.19/0.49 tff(f50,plain,( 0.19/0.49 ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (same1(X0,X1,X2) <=> ! [X3 : $int] : (repr1(X0,X2,X3) <=> repr1(X0,X1,X3)))), 0.19/0.49 inference(rectify,[],[f22])). 0.19/0.49 tff(f22,axiom,( 0.19/0.49 ! [X1 : uf_pure1,X4 : $int,X10 : $int] : (same1(X1,X4,X10) <=> ! [X5 : $int] : (repr1(X1,X10,X5) <=> repr1(X1,X4,X5)))), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)). 0.19/0.49 tff(f492,plain,( 0.19/0.49 ( ! [X0 : uf_pure1,X1 : $int] : (repr1(X0,X1,sK16(X0,X1,X1)) | same1(X0,X1,X1)) )), 0.19/0.49 inference(factoring,[],[f175])). 0.19/0.49 tff(f175,plain,( 0.19/0.49 ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (repr1(X0,X1,sK16(X0,X1,X2)) | repr1(X0,X2,sK16(X0,X1,X2)) | same1(X0,X1,X2)) )), 0.19/0.49 inference(cnf_transformation,[],[f50])). 0.19/0.49 tff(f484,plain,( 0.19/0.49 spl17_38 | ~spl17_25 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f480,f422,f389,f482])). 0.19/0.49 tff(f482,plain,( 0.19/0.49 spl17_38 <=> repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK4))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_38])])). 0.19/0.49 tff(f389,plain,( 0.19/0.49 spl17_25 <=> repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK5))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_25])])). 0.19/0.49 tff(f422,plain,( 0.19/0.49 spl17_32 <=> sK4 = sK5), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_32])])). 0.19/0.49 tff(f480,plain,( 0.19/0.49 repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK4)) | (~spl17_25 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f390,f423])). 0.19/0.49 tff(f423,plain,( 0.19/0.49 sK4 = sK5 | ~spl17_32), 0.19/0.49 inference(avatar_component_clause,[],[f422])). 0.19/0.49 tff(f390,plain,( 0.19/0.49 repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK5)) | ~spl17_25), 0.19/0.49 inference(avatar_component_clause,[],[f389])). 0.19/0.49 tff(f479,plain,( 0.19/0.49 spl17_37 | ~spl17_27 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f475,f422,f396,f477])). 0.19/0.49 tff(f477,plain,( 0.19/0.49 spl17_37 <=> repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK6(sK3,sK4)))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_37])])). 0.19/0.49 tff(f396,plain,( 0.19/0.49 spl17_27 <=> repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK6(sK3,sK5)))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_27])])). 0.19/0.49 tff(f475,plain,( 0.19/0.49 repr1(sK3,sK6(sK3,sK4),sK6(sK3,sK6(sK3,sK4))) | (~spl17_27 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f397,f423])). 0.19/0.49 tff(f397,plain,( 0.19/0.49 repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK6(sK3,sK5))) | ~spl17_27), 0.19/0.49 inference(avatar_component_clause,[],[f396])). 0.19/0.49 tff(f474,plain,( 0.19/0.49 spl17_36 | ~spl17_28 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f470,f422,f400,f472])). 0.19/0.49 tff(f472,plain,( 0.19/0.49 spl17_36 <=> $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_36])])). 0.19/0.49 tff(f400,plain,( 0.19/0.49 spl17_28 <=> $less(sK6(sK3,sK6(sK3,sK5)),size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_28])])). 0.19/0.49 tff(f470,plain,( 0.19/0.49 $less(sK6(sK3,sK6(sK3,sK4)),size1(sK3)) | (~spl17_28 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f401,f423])). 0.19/0.49 tff(f401,plain,( 0.19/0.49 $less(sK6(sK3,sK6(sK3,sK5)),size1(sK3)) | ~spl17_28), 0.19/0.49 inference(avatar_component_clause,[],[f400])). 0.19/0.49 tff(f469,plain,( 0.19/0.49 spl17_10 | ~spl17_15 | ~spl17_34), 0.19/0.49 inference(avatar_contradiction_clause,[],[f468])). 0.19/0.49 tff(f468,plain,( 0.19/0.49 $false | (spl17_10 | ~spl17_15 | ~spl17_34)), 0.19/0.49 inference(subsumption_resolution,[],[f467,f258])). 0.19/0.49 tff(f258,plain,( 0.19/0.49 $less(sK4,size1(sK3)) | ~spl17_15), 0.19/0.49 inference(avatar_component_clause,[],[f257])). 0.19/0.49 tff(f257,plain,( 0.19/0.49 spl17_15 <=> $less(sK4,size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_15])])). 0.19/0.49 tff(f467,plain,( 0.19/0.49 ~$less(sK4,size1(sK3)) | (spl17_10 | ~spl17_34)), 0.19/0.49 inference(subsumption_resolution,[],[f466,f227])). 0.19/0.49 tff(f227,plain,( 0.19/0.49 ~$less(sK4,0) | spl17_10), 0.19/0.49 inference(avatar_component_clause,[],[f226])). 0.19/0.49 tff(f226,plain,( 0.19/0.49 spl17_10 <=> $less(sK4,0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_10])])). 0.19/0.49 tff(f466,plain,( 0.19/0.49 $less(sK4,0) | ~$less(sK4,size1(sK3)) | ~spl17_34), 0.19/0.49 inference(resolution,[],[f448,f106])). 0.19/0.49 tff(f106,plain,( 0.19/0.49 ( ! [X0 : uf_pure1,X1 : $int] : (~$less(sK6(X0,X1),0) | $less(X1,0) | ~$less(X1,size1(X0))) )), 0.19/0.49 inference(cnf_transformation,[],[f61])). 0.19/0.49 tff(f61,plain,( 0.19/0.49 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | $less(X1,0) | ~$less(X1,size1(X0)))), 0.19/0.49 inference(flattening,[],[f60])). 0.19/0.49 tff(f60,plain,( 0.19/0.49 ! [X0 : uf_pure1,X1 : $int] : (? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))) | ($less(X1,0) | ~$less(X1,size1(X0))))), 0.19/0.49 inference(ennf_transformation,[],[f42])). 0.19/0.49 tff(f42,plain,( 0.19/0.49 ! [X0 : uf_pure1,X1 : $int] : ((~$less(X1,0) & $less(X1,size1(X0))) => ? [X2 : $int] : (~$less(X2,0) & repr1(X0,X1,X2) & $less(X2,size1(X0))))), 0.19/0.49 inference(rectify,[],[f29])). 0.19/0.49 tff(f29,plain,( 0.19/0.49 ! [X1 : uf_pure1,X4 : $int] : ((~$less(X4,0) & $less(X4,size1(X1))) => ? [X10 : $int] : (~$less(X10,0) & repr1(X1,X4,X10) & $less(X10,size1(X1))))), 0.19/0.49 inference(theory_normalization,[],[f18])). 0.19/0.49 tff(f18,axiom,( 0.19/0.49 ! [X1 : uf_pure1,X4 : $int] : (($lesseq(0,X4) & $less(X4,size1(X1))) => ? [X10 : $int] : ($lesseq(0,X10) & repr1(X1,X4,X10) & $less(X10,size1(X1))))), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',repr_function_1)). 0.19/0.49 tff(f448,plain,( 0.19/0.49 $less(sK6(sK3,sK4),0) | ~spl17_34), 0.19/0.49 inference(avatar_component_clause,[],[f447])). 0.19/0.49 tff(f447,plain,( 0.19/0.49 spl17_34 <=> $less(sK6(sK3,sK4),0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_34])])). 0.19/0.49 tff(f462,plain,( 0.19/0.49 ~spl17_35 | spl17_12 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f460,f422,f234,f453])). 0.19/0.49 tff(f234,plain,( 0.19/0.49 spl17_12 <=> same1(sK3,sK4,sK5)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_12])])). 0.19/0.49 tff(f460,plain,( 0.19/0.49 ~same1(sK3,sK4,sK4) | (spl17_12 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f235,f423])). 0.19/0.49 tff(f235,plain,( 0.19/0.49 ~same1(sK3,sK4,sK5) | spl17_12), 0.19/0.49 inference(avatar_component_clause,[],[f234])). 0.19/0.49 tff(f458,plain,( 0.19/0.49 spl17_11 | ~spl17_32), 0.19/0.49 inference(avatar_contradiction_clause,[],[f457])). 0.19/0.49 tff(f457,plain,( 0.19/0.49 $false | (spl17_11 | ~spl17_32)), 0.19/0.49 inference(subsumption_resolution,[],[f456,f186])). 0.19/0.49 tff(f186,plain,( 0.19/0.49 ( ! [X4 : $int] : (path1(sK2,X4,X4)) )), 0.19/0.49 inference(equality_resolution,[],[f88])). 0.19/0.49 tff(f88,plain,( 0.19/0.49 ( ! [X3 : $int,X4 : $int] : (path1(sK2,X3,X4) | X3 != X4) )), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f55,plain,( 0.19/0.49 ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : ((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((repr1(X5,X7,X8) & repr1(X5,X7,X7) & X7 = X8) | ~same1(X5,X7,X8) | ~$less(X8,$product(X0,X0)) | $less(X8,0) | $less(X7,0) | ~$less(X7,$product(X0,X0))) & $product(X0,X0) = num1(X5) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | $less(X6,0) | ~$less(X6,$product(X0,X0)))) & ~$less($product(X0,X0),0) & ~$less(X0,1) & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1)), 0.19/0.49 inference(flattening,[],[f54])). 0.19/0.49 tff(f54,plain,( 0.19/0.49 ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : ((($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : (((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & ($less(X10,$product(X0,X0)) & ~$less(X10,0))) & ($less(X9,$product(X0,X0)) & ~$less(X9,0))) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((((repr1(X5,X7,X8) & repr1(X5,X7,X7) & X7 = X8) | ~same1(X5,X7,X8)) | (~$less(X8,$product(X0,X0)) | $less(X8,0))) | ($less(X7,0) | ~$less(X7,$product(X0,X0))))) & ($product(X0,X0) = num1(X5) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | ($less(X6,0) | ~$less(X6,$product(X0,X0)))))) & ~$less($product(X0,X0),0)) & (~$less(X0,1) & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1))), 0.19/0.49 inference(ennf_transformation,[],[f33])). 0.19/0.49 tff(f33,plain,( 0.19/0.49 ~! [X0 : $int,X1 : $int,X2 : graph1] : ((~$less(X0,1) & ! [X3 : $int,X4 : $int] : (X3 = X4 <=> path1(X2,X3,X4)) & 0 = X1) => (~$less($product(X0,X0),0) => ! [X5 : uf_pure1] : (($product(X0,X0) = num1(X5) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : ((~$less(X6,0) & $less(X6,$product(X0,X0))) => repr1(X5,X6,X6))) => (! [X7 : $int,X8 : $int] : ((~$less(X7,0) & $less(X7,$product(X0,X0))) => (($less(X8,$product(X0,X0)) & ~$less(X8,0)) => (same1(X5,X7,X8) => (repr1(X5,X7,X8) & repr1(X5,X7,X7) & X7 = X8)))) => (~$less(num1(X5),1) & ! [X9 : $int,X10 : $int] : (($less(X9,$product(X0,X0)) & ~$less(X9,0)) => (($less(X10,$product(X0,X0)) & ~$less(X10,0)) => (same1(X5,X9,X10) <=> path1(X2,X9,X10)))) & $product(X0,X0) = size1(X5) & size1(X5) = $sum(num1(X5),X1))))))), 0.19/0.49 inference(rectify,[],[f27])). 0.19/0.49 tff(f27,plain,( 0.19/0.49 ~! [X7 : $int,X8 : $int,X9 : graph1] : ((~$less(X7,1) & ! [X4 : $int,X10 : $int] : (X4 = X10 <=> path1(X9,X4,X10)) & 0 = X8) => (~$less($product(X7,X7),0) => ! [X1 : uf_pure1] : (($product(X7,X7) = num1(X1) & $product(X7,X7) = size1(X1) & ! [X4 : $int] : ((~$less(X4,0) & $less(X4,$product(X7,X7))) => repr1(X1,X4,X4))) => (! [X4 : $int,X10 : $int] : ((~$less(X4,0) & $less(X4,$product(X7,X7))) => (($less(X10,$product(X7,X7)) & ~$less(X10,0)) => (same1(X1,X4,X10) => (repr1(X1,X4,X10) & repr1(X1,X4,X4) & X4 = X10)))) => (~$less(num1(X1),1) & ! [X4 : $int,X10 : $int] : (($less(X4,$product(X7,X7)) & ~$less(X4,0)) => (($less(X10,$product(X7,X7)) & ~$less(X10,0)) => (same1(X1,X4,X10) <=> path1(X9,X4,X10)))) & $product(X7,X7) = size1(X1) & $sum(num1(X1),X8) = size1(X1))))))), 0.19/0.49 inference(theory_normalization,[],[f6])). 0.19/0.49 tff(f6,negated_conjecture,( 0.19/0.49 ~! [X7 : $int,X8 : $int,X9 : graph1] : (($lesseq(1,X7) & ! [X4 : $int,X10 : $int] : (X4 = X10 <=> path1(X9,X4,X10)) & 0 = X8) => ($lesseq(0,$product(X7,X7)) => ! [X1 : uf_pure1] : (($product(X7,X7) = num1(X1) & $product(X7,X7) = size1(X1) & ! [X4 : $int] : (($lesseq(0,X4) & $less(X4,$product(X7,X7))) => repr1(X1,X4,X4))) => (! [X4 : $int,X10 : $int] : (($lesseq(0,X4) & $less(X4,$product(X7,X7))) => (($less(X10,$product(X7,X7)) & $lesseq(0,X10)) => (same1(X1,X4,X10) => (repr1(X1,X4,X10) & repr1(X1,X4,X4) & X4 = X10)))) => ($lesseq(1,num1(X1)) & ! [X4 : $int,X10 : $int] : (($less(X4,$product(X7,X7)) & $lesseq(0,X4)) => (($less(X10,$product(X7,X7)) & $lesseq(0,X10)) => (same1(X1,X4,X10) <=> path1(X9,X4,X10)))) & $product(X7,X7) = size1(X1) & $sum(num1(X1),X8) = size1(X1))))))), 0.19/0.49 inference(negated_conjecture,[],[f5])). 0.19/0.49 tff(f5,conjecture,( 0.19/0.49 ! [X7 : $int,X8 : $int,X9 : graph1] : (($lesseq(1,X7) & ! [X4 : $int,X10 : $int] : (X4 = X10 <=> path1(X9,X4,X10)) & 0 = X8) => ($lesseq(0,$product(X7,X7)) => ! [X1 : uf_pure1] : (($product(X7,X7) = num1(X1) & $product(X7,X7) = size1(X1) & ! [X4 : $int] : (($lesseq(0,X4) & $less(X4,$product(X7,X7))) => repr1(X1,X4,X4))) => (! [X4 : $int,X10 : $int] : (($lesseq(0,X4) & $less(X4,$product(X7,X7))) => (($less(X10,$product(X7,X7)) & $lesseq(0,X10)) => (same1(X1,X4,X10) => (repr1(X1,X4,X10) & repr1(X1,X4,X4) & X4 = X10)))) => ($lesseq(1,num1(X1)) & ! [X4 : $int,X10 : $int] : (($less(X4,$product(X7,X7)) & $lesseq(0,X4)) => (($less(X10,$product(X7,X7)) & $lesseq(0,X10)) => (same1(X1,X4,X10) <=> path1(X9,X4,X10)))) & $product(X7,X7) = size1(X1) & $sum(num1(X1),X8) = size1(X1))))))), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)). 0.19/0.49 tff(f456,plain,( 0.19/0.49 ~path1(sK2,sK4,sK4) | (spl17_11 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f232,f423])). 0.19/0.49 tff(f232,plain,( 0.19/0.49 ~path1(sK2,sK4,sK5) | spl17_11), 0.19/0.49 inference(avatar_component_clause,[],[f231])). 0.19/0.49 tff(f231,plain,( 0.19/0.49 spl17_11 <=> path1(sK2,sK4,sK5)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_11])])). 0.19/0.49 tff(f455,plain,( 0.19/0.49 spl17_35 | ~spl17_12 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f451,f422,f234,f453])). 0.19/0.49 tff(f451,plain,( 0.19/0.49 same1(sK3,sK4,sK4) | (~spl17_12 | ~spl17_32)), 0.19/0.49 inference(forward_demodulation,[],[f239,f423])). 0.19/0.49 tff(f239,plain,( 0.19/0.49 same1(sK3,sK4,sK5) | ~spl17_12), 0.19/0.49 inference(avatar_component_clause,[],[f234])). 0.19/0.49 tff(f449,plain,( 0.19/0.49 spl17_34 | ~spl17_26 | ~spl17_32), 0.19/0.49 inference(avatar_split_clause,[],[f443,f422,f392,f447])). 0.19/0.49 tff(f392,plain,( 0.19/0.49 spl17_26 <=> $less(sK6(sK3,sK5),0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_26])])). 0.19/0.49 tff(f443,plain,( 0.19/0.49 $less(sK6(sK3,sK4),0) | (~spl17_26 | ~spl17_32)), 0.19/0.49 inference(backward_demodulation,[],[f393,f423])). 0.19/0.49 tff(f393,plain,( 0.19/0.49 $less(sK6(sK3,sK5),0) | ~spl17_26), 0.19/0.49 inference(avatar_component_clause,[],[f392])). 0.19/0.49 tff(f432,plain,( 0.19/0.49 spl17_33 | ~spl17_11), 0.19/0.49 inference(avatar_split_clause,[],[f427,f231,f430])). 0.19/0.49 tff(f430,plain,( 0.19/0.49 spl17_33 <=> path1(sK2,sK5,sK4)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_33])])). 0.19/0.49 tff(f427,plain,( 0.19/0.49 path1(sK2,sK5,sK4) | ~spl17_11), 0.19/0.49 inference(resolution,[],[f238,f112])). 0.19/0.49 tff(f112,plain,( 0.19/0.49 ( ! [X2 : $int,X0 : graph1,X1 : $int] : (~path1(X0,X1,X2) | path1(X0,X2,X1)) )), 0.19/0.49 inference(cnf_transformation,[],[f68])). 0.19/0.49 tff(f68,plain,( 0.19/0.49 ! [X0 : graph1,X1 : $int,X2 : $int] : (path1(X0,X2,X1) | ~path1(X0,X1,X2))), 0.19/0.49 inference(ennf_transformation,[],[f48])). 0.19/0.49 tff(f48,plain,( 0.19/0.49 ! [X0 : graph1,X1 : $int,X2 : $int] : (path1(X0,X1,X2) => path1(X0,X2,X1))), 0.19/0.49 inference(rectify,[],[f12])). 0.19/0.49 tff(f12,axiom,( 0.19/0.49 ! [X6 : graph1,X4 : $int,X10 : $int] : (path1(X6,X4,X10) => path1(X6,X10,X4))), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_sym)). 0.19/0.49 tff(f238,plain,( 0.19/0.49 path1(sK2,sK4,sK5) | ~spl17_11), 0.19/0.49 inference(avatar_component_clause,[],[f231])). 0.19/0.49 tff(f428,plain,( 0.19/0.49 spl17_32 | ~spl17_11), 0.19/0.49 inference(avatar_split_clause,[],[f425,f231,f422])). 0.19/0.49 tff(f425,plain,( 0.19/0.49 sK4 = sK5 | ~spl17_11), 0.19/0.49 inference(resolution,[],[f238,f87])). 0.19/0.49 tff(f87,plain,( 0.19/0.49 ( ! [X3 : $int,X4 : $int] : (~path1(sK2,X3,X4) | X3 = X4) )), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f424,plain,( 0.19/0.49 spl17_32 | ~spl17_4 | spl17_8 | spl17_10 | ~spl17_12 | ~spl17_14 | ~spl17_15), 0.19/0.49 inference(avatar_split_clause,[],[f420,f257,f253,f234,f226,f216,f200,f422])). 0.19/0.49 tff(f200,plain,( 0.19/0.49 spl17_4 <=> size1(sK3) = $product(sK0,sK0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_4])])). 0.19/0.49 tff(f216,plain,( 0.19/0.49 spl17_8 <=> $less(sK5,0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_8])])). 0.19/0.49 tff(f253,plain,( 0.19/0.49 spl17_14 <=> $less(sK5,size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_14])])). 0.19/0.49 tff(f420,plain,( 0.19/0.49 sK4 = sK5 | (~spl17_4 | spl17_8 | spl17_10 | ~spl17_12 | ~spl17_14 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f419,f254])). 0.19/0.49 tff(f254,plain,( 0.19/0.49 $less(sK5,size1(sK3)) | ~spl17_14), 0.19/0.49 inference(avatar_component_clause,[],[f253])). 0.19/0.49 tff(f419,plain,( 0.19/0.49 ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_4 | spl17_8 | spl17_10 | ~spl17_12 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f418,f217])). 0.19/0.49 tff(f217,plain,( 0.19/0.49 ~$less(sK5,0) | spl17_8), 0.19/0.49 inference(avatar_component_clause,[],[f216])). 0.19/0.49 tff(f418,plain,( 0.19/0.49 $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_4 | spl17_10 | ~spl17_12 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f417,f227])). 0.19/0.49 tff(f417,plain,( 0.19/0.49 $less(sK4,0) | $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_4 | ~spl17_12 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f416,f258])). 0.19/0.49 tff(f416,plain,( 0.19/0.49 ~$less(sK4,size1(sK3)) | $less(sK4,0) | $less(sK5,0) | ~$less(sK5,size1(sK3)) | sK4 = sK5 | (~spl17_4 | ~spl17_12)), 0.19/0.49 inference(resolution,[],[f250,f239])). 0.19/0.49 tff(f250,plain,( 0.19/0.49 ( ! [X8 : $int,X7 : $int] : (~same1(sK3,X7,X8) | ~$less(X7,size1(sK3)) | $less(X7,0) | $less(X8,0) | ~$less(X8,size1(sK3)) | X7 = X8) ) | ~spl17_4), 0.19/0.49 inference(forward_demodulation,[],[f245,f201])). 0.19/0.49 tff(f201,plain,( 0.19/0.49 size1(sK3) = $product(sK0,sK0) | ~spl17_4), 0.19/0.49 inference(avatar_component_clause,[],[f200])). 0.19/0.49 tff(f245,plain,( 0.19/0.49 ( ! [X8 : $int,X7 : $int] : (~$less(X7,size1(sK3)) | $less(X7,0) | $less(X8,0) | ~$less(X8,$product(sK0,sK0)) | ~same1(sK3,X7,X8) | X7 = X8) ) | ~spl17_4), 0.19/0.49 inference(backward_demodulation,[],[f81,f201])). 0.19/0.49 tff(f81,plain,( 0.19/0.49 ( ! [X8 : $int,X7 : $int] : (~$less(X7,$product(sK0,sK0)) | $less(X7,0) | $less(X8,0) | ~$less(X8,$product(sK0,sK0)) | ~same1(sK3,X7,X8) | X7 = X8) )), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f415,plain,( 0.19/0.49 spl17_29 | spl17_31 | ~spl17_4), 0.19/0.49 inference(avatar_split_clause,[],[f404,f200,f413,f406])). 0.19/0.49 tff(f406,plain,( 0.19/0.49 spl17_29 <=> $less(sK0,0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_29])])). 0.19/0.49 tff(f413,plain,( 0.19/0.49 spl17_31 <=> ! [X0 : $int] : (~$less($product(X0,sK0),size1(sK3)) | $less(X0,sK0))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_31])])). 0.19/0.49 tff(f404,plain,( 0.19/0.49 ( ! [X0 : $int] : (~$less($product(X0,sK0),size1(sK3)) | $less(sK0,0) | $less(X0,sK0)) ) | ~spl17_4), 0.19/0.49 inference(superposition,[],[f107,f201])). 0.19/0.49 tff(f107,plain,( 0.19/0.49 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )), 0.19/0.49 inference(cnf_transformation,[],[f63])). 0.19/0.49 tff(f63,plain,( 0.19/0.49 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))), 0.19/0.49 inference(flattening,[],[f62])). 0.19/0.49 tff(f62,plain,( 0.19/0.49 ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))), 0.19/0.49 inference(ennf_transformation,[],[f44])). 0.19/0.49 tff(f44,plain,( 0.19/0.49 ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))), 0.19/0.49 inference(rectify,[],[f30])). 0.19/0.49 tff(f30,plain,( 0.19/0.49 ! [X4 : $int,X10 : $int,X11 : $int] : (~$less(X10,X4) => (~$less(X11,0) => ~$less($product(X10,X11),$product(X4,X11))))), 0.19/0.49 inference(theory_normalization,[],[f8])). 0.19/0.49 tff(f8,axiom,( 0.19/0.49 ! [X4 : $int,X10 : $int,X11 : $int] : ($lesseq(X4,X10) => ($lesseq(0,X11) => $lesseq($product(X4,X11),$product(X10,X11))))), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)). 0.19/0.49 tff(f411,plain,( 0.19/0.49 spl17_29 | spl17_30 | ~spl17_4), 0.19/0.49 inference(avatar_split_clause,[],[f403,f200,f409,f406])). 0.19/0.49 tff(f409,plain,( 0.19/0.49 spl17_30 <=> ! [X0 : $int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,X0))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_30])])). 0.19/0.49 tff(f403,plain,( 0.19/0.49 ( ! [X0 : $int] : (~$less(size1(sK3),$product(X0,sK0)) | $less(sK0,0) | $less(sK0,X0)) ) | ~spl17_4), 0.19/0.49 inference(superposition,[],[f107,f201])). 0.19/0.49 tff(f402,plain,( 0.19/0.49 spl17_28 | spl17_26 | ~spl17_21), 0.19/0.49 inference(avatar_split_clause,[],[f387,f363,f392,f400])). 0.19/0.49 tff(f363,plain,( 0.19/0.49 spl17_21 <=> $less(sK6(sK3,sK5),size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_21])])). 0.19/0.49 tff(f387,plain,( 0.19/0.49 $less(sK6(sK3,sK5),0) | $less(sK6(sK3,sK6(sK3,sK5)),size1(sK3)) | ~spl17_21), 0.19/0.49 inference(resolution,[],[f364,f104])). 0.19/0.49 tff(f104,plain,( 0.19/0.49 ( ! [X0 : uf_pure1,X1 : $int] : (~$less(X1,size1(X0)) | $less(X1,0) | $less(sK6(X0,X1),size1(X0))) )), 0.19/0.49 inference(cnf_transformation,[],[f61])). 0.19/0.49 tff(f364,plain,( 0.19/0.49 $less(sK6(sK3,sK5),size1(sK3)) | ~spl17_21), 0.19/0.49 inference(avatar_component_clause,[],[f363])). 0.19/0.49 tff(f398,plain,( 0.19/0.49 spl17_27 | spl17_26 | ~spl17_21), 0.19/0.49 inference(avatar_split_clause,[],[f386,f363,f392,f396])). 0.19/0.49 tff(f386,plain,( 0.19/0.49 $less(sK6(sK3,sK5),0) | repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK6(sK3,sK5))) | ~spl17_21), 0.19/0.49 inference(resolution,[],[f364,f105])). 0.19/0.49 tff(f105,plain,( 0.19/0.49 ( ! [X0 : uf_pure1,X1 : $int] : (~$less(X1,size1(X0)) | $less(X1,0) | repr1(X0,X1,sK6(X0,X1))) )), 0.19/0.49 inference(cnf_transformation,[],[f61])). 0.19/0.49 tff(f394,plain,( 0.19/0.49 spl17_25 | spl17_26 | ~spl17_4 | ~spl17_21), 0.19/0.49 inference(avatar_split_clause,[],[f385,f363,f200,f392,f389])). 0.19/0.49 tff(f385,plain,( 0.19/0.49 $less(sK6(sK3,sK5),0) | repr1(sK3,sK6(sK3,sK5),sK6(sK3,sK5)) | (~spl17_4 | ~spl17_21)), 0.19/0.49 inference(resolution,[],[f364,f247])). 0.19/0.49 tff(f247,plain,( 0.19/0.49 ( ! [X6 : $int] : (~$less(X6,size1(sK3)) | $less(X6,0) | repr1(sK3,X6,X6)) ) | ~spl17_4), 0.19/0.49 inference(backward_demodulation,[],[f84,f201])). 0.19/0.49 tff(f84,plain,( 0.19/0.49 ( ! [X6 : $int] : (~$less(X6,$product(sK0,sK0)) | $less(X6,0) | repr1(sK3,X6,X6)) )), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f384,plain,( 0.19/0.49 spl17_24 | spl17_10 | ~spl17_15), 0.19/0.49 inference(avatar_split_clause,[],[f380,f257,f226,f382])). 0.19/0.49 tff(f382,plain,( 0.19/0.49 spl17_24 <=> repr1(sK3,sK4,sK6(sK3,sK4))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_24])])). 0.19/0.49 tff(f380,plain,( 0.19/0.49 repr1(sK3,sK4,sK6(sK3,sK4)) | (spl17_10 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f374,f227])). 0.19/0.49 tff(f374,plain,( 0.19/0.49 $less(sK4,0) | repr1(sK3,sK4,sK6(sK3,sK4)) | ~spl17_15), 0.19/0.49 inference(resolution,[],[f105,f258])). 0.19/0.49 tff(f379,plain,( 0.19/0.49 spl17_23 | spl17_8 | ~spl17_14), 0.19/0.49 inference(avatar_split_clause,[],[f375,f253,f216,f377])). 0.19/0.49 tff(f377,plain,( 0.19/0.49 spl17_23 <=> repr1(sK3,sK5,sK6(sK3,sK5))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_23])])). 0.19/0.49 tff(f375,plain,( 0.19/0.49 repr1(sK3,sK5,sK6(sK3,sK5)) | (spl17_8 | ~spl17_14)), 0.19/0.49 inference(subsumption_resolution,[],[f373,f217])). 0.19/0.49 tff(f373,plain,( 0.19/0.49 $less(sK5,0) | repr1(sK3,sK5,sK6(sK3,sK5)) | ~spl17_14), 0.19/0.49 inference(resolution,[],[f105,f254])). 0.19/0.49 tff(f370,plain,( 0.19/0.49 spl17_22 | spl17_10 | ~spl17_15), 0.19/0.49 inference(avatar_split_clause,[],[f366,f257,f226,f368])). 0.19/0.49 tff(f368,plain,( 0.19/0.49 spl17_22 <=> $less(sK6(sK3,sK4),size1(sK3))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_22])])). 0.19/0.49 tff(f366,plain,( 0.19/0.49 $less(sK6(sK3,sK4),size1(sK3)) | (spl17_10 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f360,f227])). 0.19/0.49 tff(f360,plain,( 0.19/0.49 $less(sK4,0) | $less(sK6(sK3,sK4),size1(sK3)) | ~spl17_15), 0.19/0.49 inference(resolution,[],[f104,f258])). 0.19/0.49 tff(f365,plain,( 0.19/0.49 spl17_21 | spl17_8 | ~spl17_14), 0.19/0.49 inference(avatar_split_clause,[],[f361,f253,f216,f363])). 0.19/0.49 tff(f361,plain,( 0.19/0.49 $less(sK6(sK3,sK5),size1(sK3)) | (spl17_8 | ~spl17_14)), 0.19/0.49 inference(subsumption_resolution,[],[f359,f217])). 0.19/0.49 tff(f359,plain,( 0.19/0.49 $less(sK5,0) | $less(sK6(sK3,sK5),size1(sK3)) | ~spl17_14), 0.19/0.49 inference(resolution,[],[f104,f254])). 0.19/0.49 tff(f358,plain,( 0.19/0.49 spl17_20 | ~spl17_12 | ~spl17_19), 0.19/0.49 inference(avatar_split_clause,[],[f354,f289,f234,f356])). 0.19/0.49 tff(f356,plain,( 0.19/0.49 spl17_20 <=> repr1(sK3,sK5,sK4)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_20])])). 0.19/0.49 tff(f289,plain,( 0.19/0.49 spl17_19 <=> repr1(sK3,sK4,sK4)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_19])])). 0.19/0.49 tff(f354,plain,( 0.19/0.49 repr1(sK3,sK5,sK4) | (~spl17_12 | ~spl17_19)), 0.19/0.49 inference(resolution,[],[f349,f239])). 0.19/0.49 tff(f349,plain,( 0.19/0.49 ( ! [X1 : $int] : (~same1(sK3,sK4,X1) | repr1(sK3,X1,sK4)) ) | ~spl17_19), 0.19/0.49 inference(resolution,[],[f173,f290])). 0.19/0.49 tff(f290,plain,( 0.19/0.49 repr1(sK3,sK4,sK4) | ~spl17_19), 0.19/0.49 inference(avatar_component_clause,[],[f289])). 0.19/0.49 tff(f173,plain,( 0.19/0.49 ( ! [X2 : $int,X3 : $int,X0 : uf_pure1,X1 : $int] : (~repr1(X0,X1,X3) | repr1(X0,X2,X3) | ~same1(X0,X1,X2)) )), 0.19/0.49 inference(cnf_transformation,[],[f50])). 0.19/0.49 tff(f291,plain,( 0.19/0.49 spl17_19 | ~spl17_4 | spl17_10 | ~spl17_15), 0.19/0.49 inference(avatar_split_clause,[],[f287,f257,f226,f200,f289])). 0.19/0.49 tff(f287,plain,( 0.19/0.49 repr1(sK3,sK4,sK4) | (~spl17_4 | spl17_10 | ~spl17_15)), 0.19/0.49 inference(subsumption_resolution,[],[f281,f227])). 0.19/0.49 tff(f281,plain,( 0.19/0.49 $less(sK4,0) | repr1(sK3,sK4,sK4) | (~spl17_4 | ~spl17_15)), 0.19/0.49 inference(resolution,[],[f247,f258])). 0.19/0.49 tff(f286,plain,( 0.19/0.49 spl17_18 | ~spl17_4 | spl17_8 | ~spl17_14), 0.19/0.49 inference(avatar_split_clause,[],[f282,f253,f216,f200,f284])). 0.19/0.49 tff(f284,plain,( 0.19/0.49 spl17_18 <=> repr1(sK3,sK5,sK5)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_18])])). 0.19/0.49 tff(f282,plain,( 0.19/0.49 repr1(sK3,sK5,sK5) | (~spl17_4 | spl17_8 | ~spl17_14)), 0.19/0.49 inference(subsumption_resolution,[],[f280,f217])). 0.19/0.49 tff(f280,plain,( 0.19/0.49 $less(sK5,0) | repr1(sK3,sK5,sK5) | (~spl17_4 | ~spl17_14)), 0.19/0.49 inference(resolution,[],[f247,f254])). 0.19/0.49 tff(f269,plain,( 0.19/0.49 ~spl17_17 | spl17_1 | ~spl17_4), 0.19/0.49 inference(avatar_split_clause,[],[f265,f200,f188,f267])). 0.19/0.49 tff(f267,plain,( 0.19/0.49 spl17_17 <=> $less(size1(sK3),0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_17])])). 0.19/0.49 tff(f188,plain,( 0.19/0.49 spl17_1 <=> $less($product(sK0,sK0),0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])). 0.19/0.49 tff(f265,plain,( 0.19/0.49 ~$less(size1(sK3),0) | (spl17_1 | ~spl17_4)), 0.19/0.49 inference(forward_demodulation,[],[f189,f201])). 0.19/0.49 tff(f189,plain,( 0.19/0.49 ~$less($product(sK0,sK0),0) | spl17_1), 0.19/0.49 inference(avatar_component_clause,[],[f188])). 0.19/0.49 tff(f264,plain,( 0.19/0.49 spl17_16 | ~spl17_3 | ~spl17_4), 0.19/0.49 inference(avatar_split_clause,[],[f260,f200,f196,f262])). 0.19/0.49 tff(f262,plain,( 0.19/0.49 spl17_16 <=> size1(sK3) = num1(sK3)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_16])])). 0.19/0.49 tff(f196,plain,( 0.19/0.49 spl17_3 <=> num1(sK3) = $product(sK0,sK0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])). 0.19/0.49 tff(f260,plain,( 0.19/0.49 size1(sK3) = num1(sK3) | (~spl17_3 | ~spl17_4)), 0.19/0.49 inference(forward_demodulation,[],[f197,f201])). 0.19/0.49 tff(f197,plain,( 0.19/0.49 num1(sK3) = $product(sK0,sK0) | ~spl17_3), 0.19/0.49 inference(avatar_component_clause,[],[f196])). 0.19/0.49 tff(f259,plain,( 0.19/0.49 spl17_15 | ~spl17_4 | ~spl17_9), 0.19/0.49 inference(avatar_split_clause,[],[f249,f221,f200,f257])). 0.19/0.49 tff(f221,plain,( 0.19/0.49 spl17_9 <=> $less(sK4,$product(sK0,sK0))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_9])])). 0.19/0.49 tff(f249,plain,( 0.19/0.49 $less(sK4,size1(sK3)) | (~spl17_4 | ~spl17_9)), 0.19/0.49 inference(backward_demodulation,[],[f222,f201])). 0.19/0.49 tff(f222,plain,( 0.19/0.49 $less(sK4,$product(sK0,sK0)) | ~spl17_9), 0.19/0.49 inference(avatar_component_clause,[],[f221])). 0.19/0.49 tff(f255,plain,( 0.19/0.49 spl17_14 | ~spl17_4 | ~spl17_5), 0.19/0.49 inference(avatar_split_clause,[],[f248,f205,f200,f253])). 0.19/0.49 tff(f205,plain,( 0.19/0.49 spl17_5 <=> $less(sK5,$product(sK0,sK0))), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_5])])). 0.19/0.49 tff(f248,plain,( 0.19/0.49 $less(sK5,size1(sK3)) | (~spl17_4 | ~spl17_5)), 0.19/0.49 inference(backward_demodulation,[],[f206,f201])). 0.19/0.49 tff(f206,plain,( 0.19/0.49 $less(sK5,$product(sK0,sK0)) | ~spl17_5), 0.19/0.49 inference(avatar_component_clause,[],[f205])). 0.19/0.49 tff(f244,plain,( 0.19/0.49 ~spl17_13), 0.19/0.49 inference(avatar_split_clause,[],[f92,f242])). 0.19/0.49 tff(f242,plain,( 0.19/0.49 spl17_13 <=> false1 = true1), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_13])])). 0.19/0.49 tff(f92,plain,( 0.19/0.49 false1 != true1), 0.19/0.49 inference(cnf_transformation,[],[f26])). 0.19/0.49 tff(f26,axiom,( 0.19/0.49 false1 != true1), 0.19/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_False)). 0.19/0.49 tff(f240,plain,( 0.19/0.49 spl17_11 | spl17_12 | spl17_6 | ~spl17_7), 0.19/0.49 inference(avatar_split_clause,[],[f237,f211,f208,f234,f231])). 0.19/0.49 tff(f208,plain,( 0.19/0.49 spl17_6 <=> $less(num1(sK3),1)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])). 0.19/0.49 tff(f211,plain,( 0.19/0.49 spl17_7 <=> size1(sK3) = $sum(num1(sK3),0)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])). 0.19/0.49 tff(f237,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | $less(num1(sK3),1) | same1(sK3,sK4,sK5) | path1(sK2,sK4,sK5)), 0.19/0.49 inference(global_subsumption,[],[f85,f185])). 0.19/0.49 tff(f185,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | path1(sK2,sK4,sK5) | same1(sK3,sK4,sK5) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f75,f89])). 0.19/0.49 tff(f89,plain,( 0.19/0.49 0 = sK1), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f75,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | path1(sK2,sK4,sK5) | same1(sK3,sK4,sK5) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f85,plain,( 0.19/0.49 size1(sK3) = $product(sK0,sK0)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f236,plain,( 0.19/0.49 spl17_6 | ~spl17_11 | ~spl17_7 | ~spl17_12), 0.19/0.49 inference(avatar_split_clause,[],[f229,f234,f211,f231,f208])). 0.19/0.49 tff(f229,plain,( 0.19/0.49 ~same1(sK3,sK4,sK5) | size1(sK3) != $sum(num1(sK3),0) | ~path1(sK2,sK4,sK5) | $less(num1(sK3),1)), 0.19/0.49 inference(global_subsumption,[],[f85,f184])). 0.19/0.49 tff(f184,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | ~path1(sK2,sK4,sK5) | ~same1(sK3,sK4,sK5) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f76,f89])). 0.19/0.49 tff(f76,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~path1(sK2,sK4,sK5) | ~same1(sK3,sK4,sK5) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f228,plain,( 0.19/0.49 ~spl17_7 | ~spl17_10 | spl17_6), 0.19/0.49 inference(avatar_split_clause,[],[f224,f208,f226,f211])). 0.19/0.49 tff(f224,plain,( 0.19/0.49 $less(num1(sK3),1) | ~$less(sK4,0) | size1(sK3) != $sum(num1(sK3),0)), 0.19/0.49 inference(global_subsumption,[],[f85,f183])). 0.19/0.49 tff(f183,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | ~$less(sK4,0) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f77,f89])). 0.19/0.49 tff(f77,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~$less(sK4,0) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f223,plain,( 0.19/0.49 spl17_6 | spl17_9 | ~spl17_7), 0.19/0.49 inference(avatar_split_clause,[],[f219,f211,f221,f208])). 0.19/0.49 tff(f219,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | $less(sK4,$product(sK0,sK0)) | $less(num1(sK3),1)), 0.19/0.49 inference(global_subsumption,[],[f85,f182])). 0.19/0.49 tff(f182,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | $less(sK4,$product(sK0,sK0)) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f78,f89])). 0.19/0.49 tff(f78,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | $less(sK4,$product(sK0,sK0)) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f218,plain,( 0.19/0.49 ~spl17_7 | spl17_6 | ~spl17_8), 0.19/0.49 inference(avatar_split_clause,[],[f214,f216,f208,f211])). 0.19/0.49 tff(f214,plain,( 0.19/0.49 ~$less(sK5,0) | $less(num1(sK3),1) | size1(sK3) != $sum(num1(sK3),0)), 0.19/0.49 inference(global_subsumption,[],[f85,f181])). 0.19/0.49 tff(f181,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | ~$less(sK5,0) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f79,f89])). 0.19/0.49 tff(f79,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | ~$less(sK5,0) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f213,plain,( 0.19/0.49 spl17_5 | spl17_6 | ~spl17_7), 0.19/0.49 inference(avatar_split_clause,[],[f203,f211,f208,f205])). 0.19/0.49 tff(f203,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | $less(num1(sK3),1) | $less(sK5,$product(sK0,sK0))), 0.19/0.49 inference(global_subsumption,[],[f85,f180])). 0.19/0.49 tff(f180,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),0) | size1(sK3) != $product(sK0,sK0) | $less(sK5,$product(sK0,sK0)) | $less(num1(sK3),1)), 0.19/0.49 inference(definition_unfolding,[],[f80,f89])). 0.19/0.49 tff(f80,plain,( 0.19/0.49 size1(sK3) != $sum(num1(sK3),sK1) | size1(sK3) != $product(sK0,sK0) | $less(sK5,$product(sK0,sK0)) | $less(num1(sK3),1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f202,plain,( 0.19/0.49 spl17_4), 0.19/0.49 inference(avatar_split_clause,[],[f85,f200])). 0.19/0.49 tff(f198,plain,( 0.19/0.49 spl17_3), 0.19/0.49 inference(avatar_split_clause,[],[f86,f196])). 0.19/0.49 tff(f86,plain,( 0.19/0.49 num1(sK3) = $product(sK0,sK0)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f194,plain,( 0.19/0.49 ~spl17_2), 0.19/0.49 inference(avatar_split_clause,[],[f90,f192])). 0.19/0.49 tff(f192,plain,( 0.19/0.49 spl17_2 <=> $less(sK0,1)), 0.19/0.49 introduced(avatar_definition,[new_symbols(naming,[spl17_2])])). 0.19/0.49 tff(f90,plain,( 0.19/0.49 ~$less(sK0,1)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 tff(f190,plain,( 0.19/0.49 ~spl17_1), 0.19/0.49 inference(avatar_split_clause,[],[f91,f188])). 0.19/0.49 tff(f91,plain,( 0.19/0.49 ~$less($product(sK0,sK0),0)), 0.19/0.49 inference(cnf_transformation,[],[f55])). 0.19/0.49 % SZS output end Proof for theBenchmark 0.19/0.49 % (6868)------------------------------ 0.19/0.49 % (6868)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.19/0.49 % (6868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.49 % (6868)Termination reason: Refutation 0.19/0.49 0.19/0.49 % (6868)Memory used [KB]: 6780 0.19/0.49 % (6868)Time elapsed: 0.089 s 0.19/0.49 % (6868)------------------------------ 0.19/0.49 % (6868)------------------------------ 0.19/0.49 % (6861)Success in time 0.146 s 0.19/0.49 EOF