0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.11/0.33 % Computer : n017.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 03:58:30 EDT 2022 0.11/0.33 % CPUTime : 0.56/0.74 % Drodi V3.3.3 33.26/4.94 % Refutation found 33.26/4.94 % SZS status Theorem for theBenchmark: Theorem is valid 33.26/4.94 % SZS output start CNFRefutation for theBenchmark 33.26/4.94 fof(f184,axiom,( 33.26/4.94 (! [M] : hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,M)) = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,M)) )), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f228,conjecture,( 33.26/4.94 hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int ), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f229,negated_conjecture,( 33.26/4.94 ~(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int )), 33.26/4.94 inference(negated_conjecture,[status(cth)],[f228])). 33.26/4.94 fof(f281,axiom,( 33.26/4.94 (! [N] : N = hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,N)) )), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f673,axiom,( 33.26/4.94 (! [M] : hAPP_nat_nat(suc,M) != zero_zero_nat )), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f1668,axiom,( 33.26/4.94 (! [A_1,Wa] :( ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa)) = zero_zero_int<=> ( hAPP_int_nat(number_number_of_nat,Wa) != zero_zero_nat& A_1 = zero_zero_int ) )<= is_int(A_1) ) )), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f2854,axiom,( 33.26/4.94 hAPP_int_nat(nat,zero_zero_int) = zero_zero_nat ), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f3196,axiom,( 33.26/4.94 pls = zero_zero_int ), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f5181,hypothesis,( 33.26/4.94 (! [B_1_1,B_2_1] : is_int(hAPP_nat_int(B_1_1,B_2_1)) )), 33.26/4.94 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')). 33.26/4.94 fof(f5937,plain,( 33.26/4.94 ![X0]: (hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,X0))=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,X0)))), 33.26/4.94 inference(cnf_transformation,[status(esa)],[f184])). 33.26/4.94 fof(f6053,plain,( 33.26/4.94 hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))=zero_zero_int), 33.26/4.94 inference(cnf_transformation,[status(esa)],[f229])). 33.26/4.94 fof(f6152,plain,( 33.26/4.94 ![X0]: (X0=hAPP_int_nat(nat,hAPP_nat_int(semiri1621563631at_int,X0)))), 33.26/4.94 inference(cnf_transformation,[status(esa)],[f281])). 33.26/4.94 fof(f7128,plain,( 33.26/4.94 ![X0]: (~hAPP_nat_nat(suc,X0)=zero_zero_nat)), 33.26/4.94 inference(cnf_transformation,[status(esa)],[f673])). 33.26/4.94 fof(f9599,plain,( 33.26/4.94 ![A_1,Wa]: ((hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int<=>(~hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat&A_1=zero_zero_int))|~is_int(A_1))), 33.26/4.94 inference(pre_NNF_transformation,[status(esa)],[f1668])). 33.26/4.94 fof(f9600,plain,( 33.26/4.94 ![A_1,Wa]: (((~hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int|(~hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat&A_1=zero_zero_int))&(hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int|(hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat|~A_1=zero_zero_int)))|~is_int(A_1))), 33.26/4.94 inference(NNF_transformation,[status(esa)],[f9599])). 33.26/4.94 fof(f9601,plain,( 33.26/4.94 ![A_1]: (((![Wa]: (~hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int|(~hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat&A_1=zero_zero_int)))&(![Wa]: (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,Wa))=zero_zero_int|(hAPP_int_nat(number_number_of_nat,Wa)=zero_zero_nat|~A_1=zero_zero_int))))|~is_int(A_1))), 33.26/4.94 inference(miniscoping,[status(esa)],[f9600])). 34.28/5.03 fof(f9603,plain,( 34.28/5.03 ![X0,X1]: (~hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,X1))=zero_zero_int|X0=zero_zero_int|~is_int(X0))), 34.28/5.03 inference(cnf_transformation,[status(esa)],[f9601])). 34.28/5.03 fof(f12608,plain,( 34.28/5.03 hAPP_int_nat(nat,zero_zero_int)=zero_zero_nat), 34.28/5.03 inference(cnf_transformation,[status(esa)],[f2854])). 34.28/5.03 fof(f13483,plain,( 34.28/5.03 pls=zero_zero_int), 34.28/5.03 inference(cnf_transformation,[status(esa)],[f3196])). 34.28/5.03 fof(f18551,plain,( 34.28/5.03 ![X0,X1]: (is_int(hAPP_nat_int(X0,X1)))), 34.28/5.03 inference(cnf_transformation,[status(esa)],[f5181])). 34.28/5.03 fof(f19887,plain,( 34.28/5.03 spl0_20 <=> is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))), 34.28/5.03 introduced(split_symbol_definition)). 34.28/5.03 fof(f19889,plain,( 34.28/5.03 ~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))|spl0_20), 34.28/5.03 inference(component_clause,[status(thm)],[f19887])). 34.28/5.03 fof(f19897,plain,( 34.28/5.03 spl0_22 <=> zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))), 34.28/5.03 introduced(split_symbol_definition)). 34.28/5.03 fof(f19898,plain,( 34.28/5.03 zero_zero_int=hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))|~spl0_22), 34.28/5.03 inference(component_clause,[status(thm)],[f19897])). 34.28/5.03 fof(f20084,plain,( 34.28/5.03 hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int))))=zero_zero_int), 34.28/5.03 inference(backward_demodulation,[status(thm)],[f13483,f6053])). 34.28/5.03 fof(f20262,plain,( 34.28/5.03 hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int|~is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))), 34.28/5.03 inference(resolution,[status(thm)],[f9603,f20084])). 34.28/5.03 fof(f20263,plain,( 34.28/5.03 spl0_22|~spl0_20), 34.28/5.03 inference(split_clause,[status(thm)],[f20262,f19897,f19887])). 34.28/5.03 fof(f43014,plain,( 34.28/5.03 zero_zero_int=hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n))|~spl0_22), 34.28/5.03 inference(forward_demodulation,[status(thm)],[f5937,f19898])). 34.28/5.03 fof(f43020,plain,( 34.28/5.03 hAPP_nat_nat(suc,n)=hAPP_int_nat(nat,zero_zero_int)|~spl0_22), 34.28/5.03 inference(paramodulation,[status(thm)],[f43014,f6152])). 34.28/5.03 fof(f43021,plain,( 34.28/5.03 hAPP_nat_nat(suc,n)=zero_zero_nat|~spl0_22), 34.28/5.03 inference(forward_demodulation,[status(thm)],[f12608,f43020])). 34.28/5.03 fof(f43022,plain,( 34.28/5.03 $false|~spl0_22), 34.28/5.03 inference(forward_subsumption_resolution,[status(thm)],[f43021,f7128])). 34.28/5.03 fof(f43023,plain,( 34.28/5.03 ~spl0_22), 34.28/5.03 inference(contradiction_clause,[status(thm)],[f43022])). 34.28/5.03 fof(f51459,plain,( 34.28/5.03 ~is_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n)))|spl0_20), 34.28/5.03 inference(forward_demodulation,[status(thm)],[f5937,f19889])). 34.28/5.03 fof(f51460,plain,( 34.28/5.03 $false|spl0_20), 34.28/5.03 inference(forward_subsumption_resolution,[status(thm)],[f51459,f18551])). 34.28/5.03 fof(f51461,plain,( 34.28/5.03 spl0_20), 34.28/5.03 inference(contradiction_clause,[status(thm)],[f51460])). 34.28/5.03 fof(f51462,plain,( 34.28/5.03 $false), 34.28/5.03 inference(sat_refutation,[status(thm)],[f20263,f43023,f51461])). 34.28/5.03 % SZS output end CNFRefutation for theBenchmark.p 34.28/5.04 % Elapsed time: 4.699571 seconds 34.28/5.04 % CPU time: 34.226107 seconds 34.28/5.04 % Memory used: 960.466 MB 34.28/5.05 EOF