TSTP Solution File: NUM323+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM323+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:30:35 EDT 2024
% Result : Theorem 281.76s 35.88s
% Output : CNFRefutation 283.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 68 ( 33 ~; 29 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 63 ( 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f130,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f133,axiom,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f135,axiom,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f288,axiom,
! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :
( ( rdn_translate(X,rdn_neg(RDN_X))
& rdn_translate(Y,rdn_neg(RDN_Y))
& rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)
& rdn_translate(Z,rdn_neg(RDN_Z)) )
=> sum(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f297,axiom,
! [C,D1,D2,RD,ID] :
( ( rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))
& rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0)) )
=> rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f327,axiom,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f372,axiom,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f402,conjecture,
? [X] : sum(X,nn5,nn7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f403,negated_conjecture,
~ ? [X] : sum(X,nn5,nn7),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f533,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f536,plain,
rdn_translate(nn5,rdn_neg(rdnn(n5))),
inference(cnf_transformation,[status(esa)],[f133]) ).
fof(f538,plain,
rdn_translate(nn7,rdn_neg(rdnn(n7))),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f719,plain,
! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :
( ~ rdn_translate(X,rdn_neg(RDN_X))
| ~ rdn_translate(Y,rdn_neg(RDN_Y))
| ~ rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)
| ~ rdn_translate(Z,rdn_neg(RDN_Z))
| sum(X,Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f288]) ).
fof(f720,plain,
! [X,Y,Z] :
( ! [RDN_Z] :
( ! [RDN_X,RDN_Y] :
( ~ rdn_translate(X,rdn_neg(RDN_X))
| ~ rdn_translate(Y,rdn_neg(RDN_Y))
| ~ rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z) )
| ~ rdn_translate(Z,rdn_neg(RDN_Z)) )
| sum(X,Y,Z) ),
inference(miniscoping,[status(esa)],[f719]) ).
fof(f721,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X0,rdn_neg(X1))
| ~ rdn_translate(X2,rdn_neg(X3))
| ~ rdn_add_with_carry(rdnn(n0),X1,X3,X4)
| ~ rdn_translate(X5,rdn_neg(X4))
| sum(X0,X2,X5) ),
inference(cnf_transformation,[status(esa)],[f720]) ).
fof(f747,plain,
! [C,D1,D2,RD,ID] :
( ~ rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))
| ~ rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0))
| rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f748,plain,
! [C,D1,D2,RD] :
( ! [ID] :
( ~ rdn_digit_add(rdnn(D1),rdnn(D2),rdnn(ID),rdnn(n0))
| ~ rdn_digit_add(rdnn(ID),rdnn(C),rdnn(RD),rdnn(n0)) )
| rdn_add_with_carry(rdnn(C),rdnn(D1),rdnn(D2),rdnn(RD)) ),
inference(miniscoping,[status(esa)],[f747]) ).
fof(f749,plain,
! [X0,X1,X2,X3,X4] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(X3),rdnn(X4),rdnn(n0))
| rdn_add_with_carry(rdnn(X3),rdnn(X0),rdnn(X1),rdnn(X4)) ),
inference(cnf_transformation,[status(esa)],[f748]) ).
fof(f786,plain,
rdn_digit_add(rdnn(n2),rdnn(n5),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[status(esa)],[f327]) ).
fof(f831,plain,
rdn_digit_add(rdnn(n7),rdnn(n0),rdnn(n7),rdnn(n0)),
inference(cnf_transformation,[status(esa)],[f372]) ).
fof(f861,plain,
! [X] : ~ sum(X,nn5,nn7),
inference(pre_NNF_transformation,[status(esa)],[f403]) ).
fof(f862,plain,
! [X0] : ~ sum(X0,nn5,nn7),
inference(cnf_transformation,[status(esa)],[f861]) ).
fof(f14964,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n7),rdnn(n0))
| rdn_add_with_carry(rdnn(n0),rdnn(X0),rdnn(X1),rdnn(n7)) ),
inference(resolution,[status(thm)],[f831,f749]) ).
fof(f25950,plain,
! [X0,X1,X2,X3,X4] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n7),rdnn(n0))
| ~ rdn_translate(X2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(X3,rdn_neg(rdnn(X1)))
| ~ rdn_translate(X4,rdn_neg(rdnn(n7)))
| sum(X2,X3,X4) ),
inference(resolution,[status(thm)],[f14964,f721]) ).
fof(f59563,plain,
! [X0,X1,X2,X3] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(n7),rdnn(n0))
| ~ rdn_translate(X2,rdn_neg(rdnn(X0)))
| ~ rdn_translate(X3,rdn_neg(rdnn(X1)))
| sum(X2,X3,nn7) ),
inference(resolution,[status(thm)],[f25950,f538]) ).
fof(f59752,plain,
! [X0,X1] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n2)))
| ~ rdn_translate(X1,rdn_neg(rdnn(n5)))
| sum(X0,X1,nn7) ),
inference(resolution,[status(thm)],[f59563,f786]) ).
fof(f59762,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_neg(rdnn(n2)))
| sum(X0,nn5,nn7) ),
inference(resolution,[status(thm)],[f59752,f536]) ).
fof(f59763,plain,
! [X0] : ~ rdn_translate(X0,rdn_neg(rdnn(n2))),
inference(forward_subsumption_resolution,[status(thm)],[f59762,f862]) ).
fof(f59764,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f533,f59763]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM323+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 21:27:02 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 281.76/35.88 % Refutation found
% 281.76/35.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 281.76/35.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 284.06/36.19 % Elapsed time: 35.825834 seconds
% 284.06/36.19 % CPU time: 283.884341 seconds
% 284.06/36.19 % Total memory used: 1.166 GB
% 284.06/36.19 % Net memory used: 1.114 GB
%------------------------------------------------------------------------------