0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.13/0.33 % Computer : n006.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 02:17:14 EDT 2022 0.13/0.33 % CPUTime : 0.13/0.35 % Drodi V3.3.3 0.19/0.38 % Refutation found 0.19/0.38 % SZS status Theorem for theBenchmark: Theorem is valid 0.19/0.38 % SZS output start CNFRefutation for theBenchmark 0.19/0.38 fof(f16,axiom,( 0.19/0.38 (! [B_1,B_2,X_a] :( plus_plus(X_a,B_1,B_2) = ti(X_a,plus_plus(X_a,B_1,B_2))<= number_semiring(X_a) ) )), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f19,axiom,( 0.19/0.38 (! [X_a] :( (! [Xa,Ya] :( ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))<=> ( ti(X_a,Xa) != zero_zero(X_a)| zero_zero(X_a) != ti(X_a,Ya) ) ))<= linordered_idom(X_a) ) )), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f37,axiom,( 0.19/0.38 pls = zero_zero(int) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f48,axiom,( 0.19/0.38 ~ ord_less(int,pls,pls) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f60,axiom,( 0.19/0.38 (! [Z,W] : plus_plus(int,Z,W) = plus_plus(int,W,Z) )), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f62,axiom,( 0.19/0.38 (! [X_a] :( linordered_idom(X_a)=> (! [A_2] :( ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))<=> ti(X_a,A_2) != zero_zero(X_a) ) )) )), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f76,axiom,( 0.19/0.38 (! [K] : K = plus_plus(int,pls,K) )), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f96,conjecture,( 0.19/0.38 power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) != zero_zero(int) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f97,negated_conjecture,( 0.19/0.38 ~(power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls)))) != zero_zero(int) )), 0.19/0.38 inference(negated_conjecture,[status(cth)],[f96])). 0.19/0.38 fof(f103,axiom,( 0.19/0.38 linordered_idom(int) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f105,axiom,( 0.19/0.38 ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n))) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f106,hypothesis,( 0.19/0.38 ti(int,pls) = pls ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f148,axiom,( 0.19/0.38 number_semiring(int) ), 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.19/0.38 fof(f194,plain,( 0.19/0.38 ![B_1,B_2,X_a]: (plus_plus(X_a,B_1,B_2)=ti(X_a,plus_plus(X_a,B_1,B_2))|~number_semiring(X_a))), 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f16])). 0.19/0.38 fof(f195,plain,( 0.19/0.38 ![X_a]: ((![B_1,B_2]: plus_plus(X_a,B_1,B_2)=ti(X_a,plus_plus(X_a,B_1,B_2)))|~number_semiring(X_a))), 0.19/0.38 inference(miniscoping,[status(esa)],[f194])). 0.19/0.38 fof(f196,plain,( 0.19/0.38 ![X0,X1,X2]: (plus_plus(X0,X1,X2)=ti(X0,plus_plus(X0,X1,X2))|~number_semiring(X0))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f195])). 0.19/0.38 fof(f205,plain,( 0.19/0.38 ![X_a]: ((![Xa,Ya]: (ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))<=>(~ti(X_a,Xa)=zero_zero(X_a)|~zero_zero(X_a)=ti(X_a,Ya))))|~linordered_idom(X_a))), 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f19])). 0.19/0.38 fof(f206,plain,( 0.19/0.38 ![X_a]: ((![Xa,Ya]: ((~ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))|(~ti(X_a,Xa)=zero_zero(X_a)|~zero_zero(X_a)=ti(X_a,Ya)))&(ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))|(ti(X_a,Xa)=zero_zero(X_a)&zero_zero(X_a)=ti(X_a,Ya)))))|~linordered_idom(X_a))), 0.19/0.38 inference(NNF_transformation,[status(esa)],[f205])). 0.19/0.38 fof(f207,plain,( 0.19/0.38 ![X_a]: (((![Xa,Ya]: (~ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))|(~ti(X_a,Xa)=zero_zero(X_a)|~zero_zero(X_a)=ti(X_a,Ya))))&(![Xa,Ya]: (ord_less(X_a,zero_zero(X_a),plus_plus(X_a,power_power(X_a,Xa,number_number_of(nat,bit0(bit1(pls)))),power_power(X_a,Ya,number_number_of(nat,bit0(bit1(pls))))))|(ti(X_a,Xa)=zero_zero(X_a)&zero_zero(X_a)=ti(X_a,Ya)))))|~linordered_idom(X_a))), 0.19/0.38 inference(miniscoping,[status(esa)],[f206])). 0.19/0.38 fof(f209,plain,( 0.19/0.38 ![X0,X1,X2]: (ord_less(X0,zero_zero(X0),plus_plus(X0,power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))),power_power(X0,X2,number_number_of(nat,bit0(bit1(pls))))))|ti(X0,X1)=zero_zero(X0)|~linordered_idom(X0))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f207])). 0.19/0.38 fof(f250,plain,( 0.19/0.38 pls=zero_zero(int)), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f37])). 0.19/0.38 fof(f269,plain,( 0.19/0.38 ~ord_less(int,pls,pls)), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f48])). 0.19/0.38 fof(f300,plain,( 0.19/0.38 ![X0,X1]: (plus_plus(int,X0,X1)=plus_plus(int,X1,X0))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f60])). 0.19/0.38 fof(f304,plain,( 0.19/0.38 ![X_a]: (~linordered_idom(X_a)|(![A_2]: (ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))<=>~ti(X_a,A_2)=zero_zero(X_a))))), 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f62])). 0.19/0.38 fof(f305,plain,( 0.19/0.38 ![X_a]: (~linordered_idom(X_a)|(![A_2]: ((~ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))|~ti(X_a,A_2)=zero_zero(X_a))&(ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))|ti(X_a,A_2)=zero_zero(X_a)))))), 0.19/0.38 inference(NNF_transformation,[status(esa)],[f304])). 0.19/0.38 fof(f306,plain,( 0.19/0.38 ![X_a]: (~linordered_idom(X_a)|((![A_2]: (~ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))|~ti(X_a,A_2)=zero_zero(X_a)))&(![A_2]: (ord_less(X_a,zero_zero(X_a),power_power(X_a,A_2,number_number_of(nat,bit0(bit1(pls)))))|ti(X_a,A_2)=zero_zero(X_a)))))), 0.19/0.38 inference(miniscoping,[status(esa)],[f305])). 0.19/0.38 fof(f307,plain,( 0.19/0.38 ![X0,X1]: (~linordered_idom(X0)|~ord_less(X0,zero_zero(X0),power_power(X0,X1,number_number_of(nat,bit0(bit1(pls)))))|~ti(X0,X1)=zero_zero(X0))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f306])). 0.19/0.38 fof(f340,plain,( 0.19/0.38 ![X0]: (X0=plus_plus(int,pls,X0))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f76])). 0.19/0.38 fof(f381,plain,( 0.19/0.38 power_power(int,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)),number_number_of(nat,bit0(bit1(pls))))=zero_zero(int)), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f97])). 0.19/0.38 fof(f392,plain,( 0.19/0.38 linordered_idom(int)), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f103])). 0.19/0.38 fof(f394,plain,( 0.19/0.38 ord_less(int,zero_zero(int),plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f105])). 0.19/0.38 fof(f395,plain,( 0.19/0.38 ti(int,pls)=pls), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f106])). 0.19/0.38 fof(f491,plain,( 0.19/0.38 number_semiring(int)), 0.19/0.38 inference(cnf_transformation,[status(esa)],[f148])). 0.19/0.38 fof(f516,plain,( 0.19/0.38 power_power(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)),number_number_of(nat,bit0(bit1(pls))))=zero_zero(int)), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f300,f381])). 0.19/0.38 fof(f517,plain,( 0.19/0.38 power_power(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)),number_number_of(nat,bit0(bit1(pls))))=pls), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f250,f516])). 0.19/0.38 fof(f518,plain,( 0.19/0.38 ord_less(int,pls,plus_plus(int,one_one(int),semiring_1_of_nat(int,n)))), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f250,f394])). 0.19/0.38 fof(f519,plain,( 0.19/0.38 ord_less(int,pls,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)))), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f300,f518])). 0.19/0.38 fof(f557,plain,( 0.19/0.38 spl0_0 <=> ti(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)))=zero_zero(int)), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f558,plain,( 0.19/0.38 ti(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)))=zero_zero(int)|~spl0_0), 0.19/0.38 inference(component_clause,[status(thm)],[f557])). 0.19/0.38 fof(f563,plain,( 0.19/0.38 spl0_2 <=> linordered_idom(int)), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f565,plain,( 0.19/0.38 ~linordered_idom(int)|spl0_2), 0.19/0.38 inference(component_clause,[status(thm)],[f563])). 0.19/0.38 fof(f573,plain,( 0.19/0.38 $false|spl0_2), 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f565,f392])). 0.19/0.38 fof(f574,plain,( 0.19/0.38 spl0_2), 0.19/0.38 inference(contradiction_clause,[status(thm)],[f573])). 0.19/0.38 fof(f586,plain,( 0.19/0.38 spl0_6 <=> ord_less(int,zero_zero(int),plus_plus(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls))))))), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f587,plain,( 0.19/0.38 ![X0]: (ord_less(int,zero_zero(int),plus_plus(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls))))))|~spl0_6)), 0.19/0.38 inference(component_clause,[status(thm)],[f586])). 0.19/0.38 fof(f589,plain,( 0.19/0.38 ![X0]: (ord_less(int,zero_zero(int),plus_plus(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls))))))|ti(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)))=zero_zero(int)|~linordered_idom(int))), 0.19/0.38 inference(paramodulation,[status(thm)],[f517,f209])). 0.19/0.38 fof(f590,plain,( 0.19/0.38 spl0_6|spl0_0|~spl0_2), 0.19/0.38 inference(split_clause,[status(thm)],[f589,f586,f557,f563])). 0.19/0.38 fof(f599,plain,( 0.19/0.38 ![X0]: (ord_less(int,pls,plus_plus(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls))))))|~spl0_6)), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f250,f587])). 0.19/0.38 fof(f600,plain,( 0.19/0.38 ![X0]: (ord_less(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))))|~spl0_6)), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f340,f599])). 0.19/0.38 fof(f837,plain,( 0.19/0.38 spl0_35 <=> ~ord_less(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))))|~ti(int,X0)=zero_zero(int)), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f838,plain,( 0.19/0.38 ![X0]: (~ord_less(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))))|~ti(int,X0)=zero_zero(int)|~spl0_35)), 0.19/0.38 inference(component_clause,[status(thm)],[f837])). 0.19/0.38 fof(f840,plain,( 0.19/0.38 ![X0]: (~linordered_idom(int)|~ord_less(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))))|~ti(int,X0)=zero_zero(int))), 0.19/0.38 inference(paramodulation,[status(thm)],[f250,f307])). 0.19/0.38 fof(f841,plain,( 0.19/0.38 ~spl0_2|spl0_35), 0.19/0.38 inference(split_clause,[status(thm)],[f840,f563,f837])). 0.19/0.38 fof(f853,plain,( 0.19/0.38 ![X0]: (~ord_less(int,pls,power_power(int,X0,number_number_of(nat,bit0(bit1(pls)))))|~ti(int,X0)=pls|~spl0_35)), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f250,f838])). 0.19/0.38 fof(f854,plain,( 0.19/0.38 ![X0]: (~ti(int,X0)=pls|~spl0_6|~spl0_35)), 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f853,f600])). 0.19/0.38 fof(f857,plain,( 0.19/0.38 $false|~spl0_6|~spl0_35), 0.19/0.38 inference(backward_subsumption_resolution,[status(thm)],[f395,f854])). 0.19/0.38 fof(f858,plain,( 0.19/0.38 ~spl0_6|~spl0_35), 0.19/0.38 inference(contradiction_clause,[status(thm)],[f857])). 0.19/0.38 fof(f869,plain,( 0.19/0.38 ti(int,plus_plus(int,semiring_1_of_nat(int,n),one_one(int)))=pls|~spl0_0), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f250,f558])). 0.19/0.38 fof(f1249,plain,( 0.19/0.38 spl0_81 <=> number_semiring(int)), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f1251,plain,( 0.19/0.38 ~number_semiring(int)|spl0_81), 0.19/0.38 inference(component_clause,[status(thm)],[f1249])). 0.19/0.38 fof(f1254,plain,( 0.19/0.38 spl0_82 <=> plus_plus(int,pls,X0)=ti(int,X0)), 0.19/0.38 introduced(split_symbol_definition)). 0.19/0.38 fof(f1255,plain,( 0.19/0.38 ![X0]: (plus_plus(int,pls,X0)=ti(int,X0)|~spl0_82)), 0.19/0.38 inference(component_clause,[status(thm)],[f1254])). 0.19/0.38 fof(f1257,plain,( 0.19/0.38 ![X0]: (plus_plus(int,pls,X0)=ti(int,X0)|~number_semiring(int))), 0.19/0.38 inference(paramodulation,[status(thm)],[f340,f196])). 0.19/0.38 fof(f1258,plain,( 0.19/0.38 spl0_82|~spl0_81), 0.19/0.38 inference(split_clause,[status(thm)],[f1257,f1254,f1249])). 0.19/0.38 fof(f1301,plain,( 0.19/0.38 $false|spl0_81), 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1251,f491])). 0.19/0.38 fof(f1302,plain,( 0.19/0.38 spl0_81), 0.19/0.38 inference(contradiction_clause,[status(thm)],[f1301])). 0.19/0.38 fof(f1305,plain,( 0.19/0.38 ![X0]: (X0=ti(int,X0)|~spl0_82)), 0.19/0.38 inference(forward_demodulation,[status(thm)],[f340,f1255])). 0.19/0.38 fof(f1331,plain,( 0.19/0.38 plus_plus(int,semiring_1_of_nat(int,n),one_one(int))=pls|~spl0_82|~spl0_0), 0.19/0.38 inference(backward_demodulation,[status(thm)],[f1305,f869])). 0.19/0.38 fof(f1348,plain,( 0.19/0.38 ord_less(int,pls,pls)|~spl0_82|~spl0_0), 0.19/0.38 inference(backward_demodulation,[status(thm)],[f1331,f519])). 0.19/0.38 fof(f1349,plain,( 0.19/0.38 $false|~spl0_82|~spl0_0), 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1348,f269])). 0.19/0.38 fof(f1350,plain,( 0.19/0.38 ~spl0_82|~spl0_0), 0.19/0.38 inference(contradiction_clause,[status(thm)],[f1349])). 0.19/0.38 fof(f1351,plain,( 0.19/0.38 $false), 0.19/0.38 inference(sat_refutation,[status(thm)],[f574,f590,f841,f858,f1258,f1302,f1350])). 0.19/0.38 % SZS output end CNFRefutation for theBenchmark.p 0.19/0.39 % Elapsed time: 0.052033 seconds 0.19/0.39 % CPU time: 0.232776 seconds 0.19/0.39 % Memory used: 38.339 MB 0.19/0.39 EOF