0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.12/0.33 % Computer : n024.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Tue Aug 9 02:12:22 EDT 2022 0.12/0.34 % CPUTime : 0.19/0.35 % Drodi V3.3.3 6.91/1.26 % Refutation found 6.91/1.26 % SZS status Theorem for theBenchmark: Theorem is valid 6.91/1.26 % SZS output start CNFRefutation for theBenchmark 6.91/1.26 fof(f1,axiom,( 6.91/1.26 (! [Dom,El1,El2] :( element(subtract(Dom,El1,El2),Dom)<= ( element(El1,Dom)& element(El2,Dom) ) ) )), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f5,axiom,( 6.91/1.26 (! [Morphism,Dom,Cod] :( surjection(Morphism)<= ( morphism(Morphism,Dom,Cod)& (! [ElCod] :( element(ElCod,Cod)=> (? [ElDom] :( ElCod = apply(Morphism,ElDom)& element(ElDom,Dom) ) )) )) ) )), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f16,axiom,( 6.91/1.26 (! [E] :( element(E,e)=> (? [B1,B2] :( element(B2,b)& E = apply(g,subtract(b,B1,B2))& element(B1,b) ) )) )), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f17,axiom,( 6.91/1.26 morphism(g,b,e) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f18,axiom,( 6.91/1.26 morphism(delta,e,r) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f19,conjecture,( 6.91/1.26 surjection(g) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f20,negated_conjecture,( 6.91/1.26 ~(surjection(g) )), 6.91/1.26 inference(negated_conjecture,[status(cth)],[f19])). 6.91/1.26 fof(f21,axiom,( 6.91/1.26 morphism(beta,b,c) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f27,axiom,( 6.91/1.26 morphism(f,a,d) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f28,axiom,( 6.91/1.26 morphism(gamma,d,e) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f32,axiom,( 6.91/1.26 morphism(alpha,a,b) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f34,axiom,( 6.91/1.26 morphism(h,c,r) ), 6.91/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 6.91/1.26 fof(f36,plain,( 6.91/1.26 ![Dom,El1,El2]: (element(subtract(Dom,El1,El2),Dom)|(~element(El1,Dom)|~element(El2,Dom)))), 6.91/1.26 inference(pre_NNF_transformation,[status(esa)],[f1])). 6.91/1.26 fof(f37,plain,( 6.91/1.26 ![X0,X1,X2]: (element(subtract(X0,X1,X2),X0)|~element(X1,X0)|~element(X2,X0))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f36])). 6.91/1.26 fof(f47,plain,( 6.91/1.26 ![Morphism,Dom,Cod]: (surjection(Morphism)|(~morphism(Morphism,Dom,Cod)|(?[ElCod]: (element(ElCod,Cod)&(![ElDom]: (~ElCod=apply(Morphism,ElDom)|~element(ElDom,Dom)))))))), 6.91/1.26 inference(pre_NNF_transformation,[status(esa)],[f5])). 6.91/1.26 fof(f48,plain,( 6.91/1.26 ![Morphism]: (surjection(Morphism)|(![Dom,Cod]: (~morphism(Morphism,Dom,Cod)|(?[ElCod]: (element(ElCod,Cod)&(![ElDom]: (~ElCod=apply(Morphism,ElDom)|~element(ElDom,Dom))))))))), 6.91/1.26 inference(miniscoping,[status(esa)],[f47])). 6.91/1.26 fof(f49,plain,( 6.91/1.26 ![Morphism]: (surjection(Morphism)|(![Dom,Cod]: (~morphism(Morphism,Dom,Cod)|(element(sk0_1(Cod,Dom,Morphism),Cod)&(![ElDom]: (~sk0_1(Cod,Dom,Morphism)=apply(Morphism,ElDom)|~element(ElDom,Dom)))))))), 6.91/1.26 inference(skolemization,[status(esa)],[f48])). 6.91/1.26 fof(f50,plain,( 6.91/1.26 ![X0,X1,X2]: (surjection(X0)|~morphism(X0,X1,X2)|element(sk0_1(X2,X1,X0),X2))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f49])). 6.91/1.26 fof(f51,plain,( 6.91/1.26 ![X0,X1,X2,X3]: (surjection(X0)|~morphism(X0,X1,X2)|~sk0_1(X2,X1,X0)=apply(X0,X3)|~element(X3,X1))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f49])). 6.91/1.26 fof(f100,plain,( 6.91/1.26 ![E]: (~element(E,e)|(?[B1,B2]: ((element(B2,b)&E=apply(g,subtract(b,B1,B2)))&element(B1,b))))), 6.91/1.26 inference(pre_NNF_transformation,[status(esa)],[f16])). 6.91/1.26 fof(f101,plain,( 6.91/1.26 ![E]: (~element(E,e)|(?[B1]: ((?[B2]: (element(B2,b)&E=apply(g,subtract(b,B1,B2))))&element(B1,b))))), 6.91/1.26 inference(miniscoping,[status(esa)],[f100])). 6.91/1.26 fof(f102,plain,( 6.91/1.26 ![E]: (~element(E,e)|((element(sk0_11(E),b)&E=apply(g,subtract(b,sk0_10(E),sk0_11(E))))&element(sk0_10(E),b)))), 6.91/1.26 inference(skolemization,[status(esa)],[f101])). 6.91/1.26 fof(f103,plain,( 6.91/1.26 ![X0]: (~element(X0,e)|element(sk0_11(X0),b))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f102])). 6.91/1.26 fof(f104,plain,( 6.91/1.26 ![X0]: (~element(X0,e)|X0=apply(g,subtract(b,sk0_10(X0),sk0_11(X0))))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f102])). 6.91/1.26 fof(f105,plain,( 6.91/1.26 ![X0]: (~element(X0,e)|element(sk0_10(X0),b))), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f102])). 6.91/1.26 fof(f106,plain,( 6.91/1.26 morphism(g,b,e)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f17])). 6.91/1.26 fof(f107,plain,( 6.91/1.26 morphism(delta,e,r)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f18])). 6.91/1.26 fof(f108,plain,( 6.91/1.26 ~surjection(g)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f20])). 6.91/1.26 fof(f109,plain,( 6.91/1.26 morphism(beta,b,c)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f21])). 6.91/1.26 fof(f115,plain,( 6.91/1.26 morphism(f,a,d)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f27])). 6.91/1.26 fof(f116,plain,( 6.91/1.26 morphism(gamma,d,e)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f28])). 6.91/1.26 fof(f120,plain,( 6.91/1.26 morphism(alpha,a,b)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f32])). 6.91/1.26 fof(f130,plain,( 6.91/1.26 morphism(h,c,r)), 6.91/1.26 inference(cnf_transformation,[status(esa)],[f34])). 6.91/1.26 fof(f140,plain,( 6.91/1.26 spl0_0 <=> surjection(g)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f141,plain,( 6.91/1.26 surjection(g)|~spl0_0), 6.91/1.26 inference(component_clause,[status(thm)],[f140])). 6.91/1.26 fof(f143,plain,( 6.91/1.26 spl0_1 <=> ~sk0_1(e,b,g)=apply(g,X0)|~element(X0,b)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f144,plain,( 6.91/1.26 ![X0]: (~sk0_1(e,b,g)=apply(g,X0)|~element(X0,b)|~spl0_1)), 6.91/1.26 inference(component_clause,[status(thm)],[f143])). 6.91/1.26 fof(f146,plain,( 6.91/1.26 ![X0]: (surjection(g)|~sk0_1(e,b,g)=apply(g,X0)|~element(X0,b))), 6.91/1.26 inference(resolution,[status(thm)],[f106,f51])). 6.91/1.26 fof(f147,plain,( 6.91/1.26 spl0_0|spl0_1), 6.91/1.26 inference(split_clause,[status(thm)],[f146,f140,f143])). 6.91/1.26 fof(f149,plain,( 6.91/1.26 spl0_2 <=> element(sk0_1(e,b,g),e)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f150,plain,( 6.91/1.26 element(sk0_1(e,b,g),e)|~spl0_2), 6.91/1.26 inference(component_clause,[status(thm)],[f149])). 6.91/1.26 fof(f152,plain,( 6.91/1.26 surjection(g)|element(sk0_1(e,b,g),e)), 6.91/1.26 inference(resolution,[status(thm)],[f106,f50])). 6.91/1.26 fof(f153,plain,( 6.91/1.26 spl0_0|spl0_2), 6.91/1.26 inference(split_clause,[status(thm)],[f152,f140,f149])). 6.91/1.26 fof(f154,plain,( 6.91/1.26 $false|~spl0_0), 6.91/1.26 inference(forward_subsumption_resolution,[status(thm)],[f141,f108])). 6.91/1.26 fof(f155,plain,( 6.91/1.26 ~spl0_0), 6.91/1.26 inference(contradiction_clause,[status(thm)],[f154])). 6.91/1.26 fof(f475,plain,( 6.91/1.26 element(sk0_10(sk0_1(e,b,g)),b)|~spl0_2), 6.91/1.26 inference(resolution,[status(thm)],[f150,f105])). 6.91/1.26 fof(f476,plain,( 6.91/1.26 sk0_1(e,b,g)=apply(g,subtract(b,sk0_10(sk0_1(e,b,g)),sk0_11(sk0_1(e,b,g))))|~spl0_2), 6.91/1.26 inference(resolution,[status(thm)],[f150,f104])). 6.91/1.26 fof(f477,plain,( 6.91/1.26 element(sk0_11(sk0_1(e,b,g)),b)|~spl0_2), 6.91/1.26 inference(resolution,[status(thm)],[f150,f103])). 6.91/1.26 fof(f555,plain,( 6.91/1.26 ![X0]: (element(subtract(b,sk0_10(sk0_1(e,b,g)),X0),b)|~element(X0,b)|~spl0_2)), 6.91/1.26 inference(resolution,[status(thm)],[f475,f37])). 6.91/1.26 fof(f681,plain,( 6.91/1.26 element(subtract(b,sk0_10(sk0_1(e,b,g)),sk0_11(sk0_1(e,b,g))),b)|~spl0_2), 6.91/1.26 inference(resolution,[status(thm)],[f555,f477])). 6.91/1.26 fof(f1011,plain,( 6.91/1.26 spl0_59 <=> morphism(g,b,e)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f1013,plain,( 6.91/1.26 ~morphism(g,b,e)|spl0_59), 6.91/1.26 inference(component_clause,[status(thm)],[f1011])). 6.91/1.26 fof(f1024,plain,( 6.91/1.26 spl0_62 <=> morphism(beta,b,c)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f1026,plain,( 6.91/1.26 ~morphism(beta,b,c)|spl0_62), 6.91/1.26 inference(component_clause,[status(thm)],[f1024])). 6.91/1.26 fof(f1047,plain,( 6.91/1.26 $false|spl0_62), 6.91/1.26 inference(forward_subsumption_resolution,[status(thm)],[f1026,f109])). 6.91/1.26 fof(f1048,plain,( 6.91/1.26 spl0_62), 6.91/1.26 inference(contradiction_clause,[status(thm)],[f1047])). 6.91/1.26 fof(f1049,plain,( 6.91/1.26 $false|spl0_59), 6.91/1.26 inference(forward_subsumption_resolution,[status(thm)],[f1013,f106])). 6.91/1.26 fof(f1050,plain,( 6.91/1.26 spl0_59), 6.91/1.26 inference(contradiction_clause,[status(thm)],[f1049])). 6.91/1.26 fof(f1070,plain,( 6.91/1.26 spl0_64 <=> morphism(delta,e,r)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f1072,plain,( 6.91/1.26 ~morphism(delta,e,r)|spl0_64), 6.91/1.26 inference(component_clause,[status(thm)],[f1070])). 6.91/1.26 fof(f1103,plain,( 6.91/1.26 $false|spl0_64), 6.91/1.26 inference(forward_subsumption_resolution,[status(thm)],[f1072,f107])). 6.91/1.26 fof(f1104,plain,( 6.91/1.26 spl0_64), 6.91/1.26 inference(contradiction_clause,[status(thm)],[f1103])). 6.91/1.26 fof(f2139,plain,( 6.91/1.26 spl0_107 <=> ~morphism(g,b,X0)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f2140,plain,( 6.91/1.26 ![X0]: (~morphism(g,b,X0)|~spl0_107)), 6.91/1.26 inference(component_clause,[status(thm)],[f2139])). 6.91/1.26 fof(f2147,plain,( 6.91/1.26 spl0_109 <=> ~morphism(beta,b,X1)), 6.91/1.26 introduced(split_symbol_definition)). 6.91/1.26 fof(f2148,plain,( 6.91/1.26 ![X0]: (~morphism(beta,b,X0)|~spl0_109)), 6.91/1.27 inference(component_clause,[status(thm)],[f2147])). 6.91/1.27 fof(f2171,plain,( 6.91/1.27 $false|~spl0_107), 6.91/1.27 inference(backward_subsumption_resolution,[status(thm)],[f106,f2140])). 6.91/1.27 fof(f2172,plain,( 6.91/1.27 ~spl0_107), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f2171])). 6.91/1.27 fof(f2173,plain,( 6.91/1.27 $false|~spl0_109), 6.91/1.27 inference(backward_subsumption_resolution,[status(thm)],[f109,f2148])). 6.91/1.27 fof(f2174,plain,( 6.91/1.27 ~spl0_109), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f2173])). 6.91/1.27 fof(f4446,plain,( 6.91/1.27 spl0_148 <=> morphism(f,a,d)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f4448,plain,( 6.91/1.27 ~morphism(f,a,d)|spl0_148), 6.91/1.27 inference(component_clause,[status(thm)],[f4446])). 6.91/1.27 fof(f4451,plain,( 6.91/1.27 $false|spl0_148), 6.91/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4448,f115])). 6.91/1.27 fof(f4452,plain,( 6.91/1.27 spl0_148), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f4451])). 6.91/1.27 fof(f4453,plain,( 6.91/1.27 spl0_149 <=> morphism(gamma,d,e)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f4455,plain,( 6.91/1.27 ~morphism(gamma,d,e)|spl0_149), 6.91/1.27 inference(component_clause,[status(thm)],[f4453])). 6.91/1.27 fof(f4465,plain,( 6.91/1.27 $false|spl0_149), 6.91/1.27 inference(forward_subsumption_resolution,[status(thm)],[f4455,f116])). 6.91/1.27 fof(f4466,plain,( 6.91/1.27 spl0_149), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f4465])). 6.91/1.27 fof(f5356,plain,( 6.91/1.27 spl0_163 <=> ~morphism(h,c,X0)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f5357,plain,( 6.91/1.27 ![X0]: (~morphism(h,c,X0)|~spl0_163)), 6.91/1.27 inference(component_clause,[status(thm)],[f5356])). 6.91/1.27 fof(f5477,plain,( 6.91/1.27 $false|~spl0_163), 6.91/1.27 inference(backward_subsumption_resolution,[status(thm)],[f130,f5357])). 6.91/1.27 fof(f5478,plain,( 6.91/1.27 ~spl0_163), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f5477])). 6.91/1.27 fof(f6189,plain,( 6.91/1.27 spl0_212 <=> zero(e)=zero(e)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f6191,plain,( 6.91/1.27 ~zero(e)=zero(e)|spl0_212), 6.91/1.27 inference(component_clause,[status(thm)],[f6189])). 6.91/1.27 fof(f6194,plain,( 6.91/1.27 $false|spl0_212), 6.91/1.27 inference(trivial_equality_resolution,[status(esa)],[f6191])). 6.91/1.27 fof(f6195,plain,( 6.91/1.27 spl0_212), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f6194])). 6.91/1.27 fof(f6225,plain,( 6.91/1.27 spl0_215 <=> zero(r)=zero(r)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f6227,plain,( 6.91/1.27 ~zero(r)=zero(r)|spl0_215), 6.91/1.27 inference(component_clause,[status(thm)],[f6225])). 6.91/1.27 fof(f6230,plain,( 6.91/1.27 $false|spl0_215), 6.91/1.27 inference(trivial_equality_resolution,[status(esa)],[f6227])). 6.91/1.27 fof(f6231,plain,( 6.91/1.27 spl0_215), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f6230])). 6.91/1.27 fof(f6410,plain,( 6.91/1.27 spl0_217 <=> morphism(alpha,a,b)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f6412,plain,( 6.91/1.27 ~morphism(alpha,a,b)|spl0_217), 6.91/1.27 inference(component_clause,[status(thm)],[f6410])). 6.91/1.27 fof(f6415,plain,( 6.91/1.27 $false|spl0_217), 6.91/1.27 inference(forward_subsumption_resolution,[status(thm)],[f6412,f120])). 6.91/1.27 fof(f6416,plain,( 6.91/1.27 spl0_217), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f6415])). 6.91/1.27 fof(f6857,plain,( 6.91/1.27 spl0_222 <=> morphism(h,c,r)), 6.91/1.27 introduced(split_symbol_definition)). 6.91/1.27 fof(f6859,plain,( 6.91/1.27 ~morphism(h,c,r)|spl0_222), 6.91/1.27 inference(component_clause,[status(thm)],[f6857])). 6.91/1.27 fof(f6862,plain,( 6.91/1.27 $false|spl0_222), 6.91/1.27 inference(forward_subsumption_resolution,[status(thm)],[f6859,f130])). 6.91/1.27 fof(f6863,plain,( 6.91/1.27 spl0_222), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f6862])). 6.91/1.27 fof(f9385,plain,( 6.91/1.27 ~element(subtract(b,sk0_10(sk0_1(e,b,g)),sk0_11(sk0_1(e,b,g))),b)|~spl0_1|~spl0_2), 6.91/1.27 inference(resolution,[status(thm)],[f144,f476])). 6.91/1.27 fof(f9386,plain,( 6.91/1.27 $false|~spl0_1|~spl0_2), 6.91/1.27 inference(forward_subsumption_resolution,[status(thm)],[f9385,f681])). 6.91/1.27 fof(f9387,plain,( 6.91/1.27 ~spl0_1|~spl0_2), 6.91/1.27 inference(contradiction_clause,[status(thm)],[f9386])). 6.91/1.27 fof(f9388,plain,( 6.91/1.27 $false), 6.91/1.27 inference(sat_refutation,[status(thm)],[f147,f153,f155,f1048,f1050,f1104,f2172,f2174,f4452,f4466,f5478,f6195,f6231,f6416,f6863,f9387])). 6.91/1.27 % SZS output end CNFRefutation for theBenchmark.p 6.91/1.29 % Elapsed time: 0.937232 seconds 6.91/1.29 % CPU time: 7.277590 seconds 6.91/1.29 % Memory used: 199.574 MB 6.91/1.29 EOF