TSTP Solution File: NUM925+4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : Wed May 31 12:31:01 EDT 2023
% Result : Theorem 0.60s 0.82s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 15 unt; 0 def)
% Number of atoms : 66 ( 39 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 58 ( 27 ~; 22 |; 3 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,hypothesis,
! [B_1_1,B_2_1] : is_int(hAPP_nat_int(B_1_1,B_2_1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f89,axiom,
! [A_1] :
( is_int(A_1)
=> ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int
<=> A_1 = zero_zero_int ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [Na] :
( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int
<=> Na = zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f218,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3059,axiom,
! [M] : zero_zero_nat != hAPP_nat_nat(suc,M),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3172,axiom,
! [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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5487,conjecture,
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,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5488,negated_conjecture,
~ ( 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 ),
inference(negated_conjecture,[status(cth)],[f5487]) ).
fof(f5531,plain,
! [X0,X1] : is_int(hAPP_nat_int(X0,X1)),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f5605,plain,
! [A_1] :
( ~ is_int(A_1)
| ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int
<=> A_1 = zero_zero_int ) ),
inference(pre_NNF_transformation,[status(esa)],[f89]) ).
fof(f5606,plain,
! [A_1] :
( ~ is_int(A_1)
| ( ( hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,A_1),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int
| 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,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) = zero_zero_int
| A_1 != zero_zero_int ) ) ),
inference(NNF_transformation,[status(esa)],[f5605]) ).
fof(f5607,plain,
! [X0] :
( ~ is_int(X0)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) != zero_zero_int
| X0 = zero_zero_int ),
inference(cnf_transformation,[status(esa)],[f5606]) ).
fof(f5691,plain,
! [Na] :
( ( hAPP_nat_int(semiri1621563631at_int,Na) != zero_zero_int
| Na = zero_zero_nat )
& ( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int
| Na != zero_zero_nat ) ),
inference(NNF_transformation,[status(esa)],[f138]) ).
fof(f5692,plain,
( ! [Na] :
( hAPP_nat_int(semiri1621563631at_int,Na) != zero_zero_int
| Na = zero_zero_nat )
& ! [Na] :
( hAPP_nat_int(semiri1621563631at_int,Na) = zero_zero_int
| Na != zero_zero_nat ) ),
inference(miniscoping,[status(esa)],[f5691]) ).
fof(f5693,plain,
! [X0] :
( hAPP_nat_int(semiri1621563631at_int,X0) != zero_zero_int
| X0 = zero_zero_nat ),
inference(cnf_transformation,[status(esa)],[f5692]) ).
fof(f5944,plain,
pls = zero_zero_int,
inference(cnf_transformation,[status(esa)],[f218]) ).
fof(f13241,plain,
! [X0] : zero_zero_nat != hAPP_nat_nat(suc,X0),
inference(cnf_transformation,[status(esa)],[f3059]) ).
fof(f13546,plain,
! [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)),
inference(cnf_transformation,[status(esa)],[f3172]) ).
fof(f19302,plain,
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,
inference(cnf_transformation,[status(esa)],[f5488]) ).
fof(f20271,plain,
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,
inference(backward_demodulation,[status(thm)],[f5944,f19302]) ).
fof(f20281,plain,
( spl0_15
<=> is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n))) ),
introduced(split_symbol_definition) ).
fof(f20283,plain,
( ~ is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))
| spl0_15 ),
inference(component_clause,[status(thm)],[f20281]) ).
fof(f20287,plain,
( spl0_17
<=> hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = zero_zero_int ),
introduced(split_symbol_definition) ).
fof(f20288,plain,
( hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = zero_zero_int
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f20287]) ).
fof(f20432,plain,
! [X0] :
( ~ is_int(X0)
| hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,X0),hAPP_int_nat(number_number_of_nat,hAPP_int_int(bit0,hAPP_int_int(bit1,zero_zero_int)))) != zero_zero_int
| X0 = zero_zero_int ),
inference(forward_demodulation,[status(thm)],[f5944,f5607]) ).
fof(f20435,plain,
( ~ is_int(hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)))
| hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,one_one_int),hAPP_nat_int(semiri1621563631at_int,n)) = zero_zero_int ),
inference(resolution,[status(thm)],[f20432,f20271]) ).
fof(f20436,plain,
( ~ spl0_15
| spl0_17 ),
inference(split_clause,[status(thm)],[f20435,f20281,f20287]) ).
fof(f22070,plain,
( ~ is_int(hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n)))
| spl0_15 ),
inference(backward_demodulation,[status(thm)],[f13546,f20283]) ).
fof(f22071,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f22070,f5531]) ).
fof(f22072,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f22071]) ).
fof(f22116,plain,
( hAPP_nat_int(semiri1621563631at_int,hAPP_nat_nat(suc,n)) = zero_zero_int
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f13546,f20288]) ).
fof(f22146,plain,
( hAPP_nat_nat(suc,n) = zero_zero_nat
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f22116,f5693]) ).
fof(f23014,plain,
( $false
| ~ spl0_17 ),
inference(backward_subsumption_resolution,[status(thm)],[f22146,f13241]) ).
fof(f23015,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f23014]) ).
fof(f23016,plain,
$false,
inference(sat_refutation,[status(thm)],[f20436,f22072,f23015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM925+4 : TPTP v8.1.2. Released v5.3.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:58:27 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.46/0.71 % Drodi V3.5.1
% 0.60/0.82 % Refutation found
% 0.60/0.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.60/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.65/0.94 % Elapsed time: 0.613383 seconds
% 0.65/0.94 % CPU time: 1.033204 seconds
% 0.65/0.94 % Memory used: 355.196 MB
%------------------------------------------------------------------------------