TSTP Solution File: NUM925+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:36:06 EDT 2024
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM925+2 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:10:02 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.41 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.42 fof(f6,axiom,(
% 0.20/0.42 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))) ),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f8,axiom,(
% 0.20/0.42 (! [Xa,Ya] :( hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls))))) = zero_zero_int<=> ( Xa = zero_zero_int& Ya = zero_zero_int ) ) )),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f85,axiom,(
% 0.20/0.42 ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int)) ),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f104,axiom,(
% 0.20/0.42 pls = zero_zero_int ),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f106,axiom,(
% 0.20/0.42 (! [K] : hAPP_int_int(plus_plus_int(K),pls) = K )),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f708,conjecture,(
% 0.20/0.42 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int ),
% 0.20/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.42 fof(f709,negated_conjecture,(
% 0.20/0.42 ~(hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls)))) != zero_zero_int )),
% 0.20/0.42 inference(negated_conjecture,[status(cth)],[f708])).
% 0.20/0.42 fof(f715,plain,(
% 0.20/0.42 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.42 fof(f717,plain,(
% 0.20/0.42 ![Xa,Ya]: ((~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(Xa=zero_zero_int&Ya=zero_zero_int))&(hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(~Xa=zero_zero_int|~Ya=zero_zero_int)))),
% 0.20/0.42 inference(NNF_transformation,[status(esa)],[f8])).
% 0.20/0.42 fof(f718,plain,(
% 0.20/0.42 (![Xa,Ya]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(Xa=zero_zero_int&Ya=zero_zero_int)))&(![Xa,Ya]: (hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(Xa),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(Ya),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|(~Xa=zero_zero_int|~Ya=zero_zero_int)))),
% 0.20/0.42 inference(miniscoping,[status(esa)],[f717])).
% 0.20/0.42 fof(f720,plain,(
% 0.20/0.42 ![X0,X1]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|X1=zero_zero_int)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f718])).
% 0.20/0.42 fof(f907,plain,(
% 0.20/0.42 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,pls),zero_zero_int))),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f85])).
% 0.20/0.42 fof(f960,plain,(
% 0.20/0.42 pls=zero_zero_int),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f104])).
% 0.20/0.42 fof(f962,plain,(
% 0.20/0.42 ![X0]: (hAPP_int_int(plus_plus_int(X0),pls)=X0)),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f106])).
% 0.20/0.42 fof(f2553,plain,(
% 0.20/0.42 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(pls))))=zero_zero_int),
% 0.20/0.42 inference(cnf_transformation,[status(esa)],[f709])).
% 0.20/0.42 fof(f2636,plain,(
% 0.20/0.42 hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(bit0(bit1(zero_zero_int))))=zero_zero_int),
% 0.20/0.42 inference(backward_demodulation,[status(thm)],[f960,f2553])).
% 0.20/0.42 fof(f2653,plain,(
% 0.20/0.44 spl0_1 <=> hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f2654,plain,(
% 0.20/0.44 hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int|~spl0_1),
% 0.20/0.44 inference(component_clause,[status(thm)],[f2653])).
% 0.20/0.44 fof(f2659,plain,(
% 0.20/0.44 ![X0,X1]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls)))))=zero_zero_int|X1=zero_zero_int)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f960,f720])).
% 0.20/0.44 fof(f2660,plain,(
% 0.20/0.44 ![X0,X1]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(zero_zero_int)))))=zero_zero_int|X1=zero_zero_int)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f960,f2659])).
% 0.20/0.44 fof(f2662,plain,(
% 0.20/0.44 spl0_2 <=> ~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),zero_zero_int)=zero_zero_int),
% 0.20/0.44 introduced(split_symbol_definition)).
% 0.20/0.44 fof(f2663,plain,(
% 0.20/0.44 ![X0]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),zero_zero_int)=zero_zero_int|~spl0_2)),
% 0.20/0.44 inference(component_clause,[status(thm)],[f2662])).
% 0.20/0.44 fof(f2665,plain,(
% 0.20/0.44 ![X0]: (~hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(zero_zero_int))))),zero_zero_int)=zero_zero_int|hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))=zero_zero_int)),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f2636,f2660])).
% 0.20/0.44 fof(f2666,plain,(
% 0.20/0.44 spl0_2|spl0_1),
% 0.20/0.44 inference(split_clause,[status(thm)],[f2665,f2662,f2653])).
% 0.20/0.44 fof(f2682,plain,(
% 0.20/0.44 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))|~spl0_1),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f2654,f715])).
% 0.20/0.44 fof(f2692,plain,(
% 0.20/0.44 ~hAPP_int_int(plus_plus_int(zero_zero_int),zero_zero_int)=zero_zero_int|~spl0_2),
% 0.20/0.44 inference(paramodulation,[status(thm)],[f2636,f2663])).
% 0.20/0.44 fof(f2729,plain,(
% 0.20/0.44 ![X0]: (hAPP_int_int(plus_plus_int(X0),zero_zero_int)=X0)),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f960,f962])).
% 0.20/0.44 fof(f2732,plain,(
% 0.20/0.44 ~zero_zero_int=zero_zero_int|~spl0_2),
% 0.20/0.44 inference(backward_demodulation,[status(thm)],[f2729,f2692])).
% 0.20/0.44 fof(f2733,plain,(
% 0.20/0.44 $false|~spl0_2),
% 0.20/0.44 inference(trivial_equality_resolution,[status(esa)],[f2732])).
% 0.20/0.44 fof(f2734,plain,(
% 0.20/0.44 ~spl0_2),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f2733])).
% 0.20/0.44 fof(f2930,plain,(
% 0.20/0.44 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),zero_zero_int))),
% 0.20/0.44 inference(forward_demodulation,[status(thm)],[f960,f907])).
% 0.20/0.44 fof(f2931,plain,(
% 0.20/0.44 $false|~spl0_1),
% 0.20/0.44 inference(forward_subsumption_resolution,[status(thm)],[f2930,f2682])).
% 0.20/0.44 fof(f2932,plain,(
% 0.20/0.44 ~spl0_1),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f2931])).
% 0.20/0.44 fof(f2933,plain,(
% 0.20/0.44 $false),
% 0.20/0.44 inference(sat_refutation,[status(thm)],[f2666,f2734,f2932])).
% 0.20/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.45 % Elapsed time: 0.096316 seconds
% 0.20/0.45 % CPU time: 0.174366 seconds
% 0.20/0.45 % Total memory used: 53.488 MB
% 0.20/0.45 % Net memory used: 53.245 MB
%------------------------------------------------------------------------------