TSTP Solution File: NUM340+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:30:37 EDT 2024
% Result : Theorem 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 90 ( 42 ~; 39 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 83 ( 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f287,axiom,
! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :
( ( rdn_translate(X,rdn_pos(RDN_X))
& rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)
& rdn_translate(Z,rdn_pos(RDN_Z)) )
=> sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f296,axiom,
! [X,Y,Z] :
( sum(Y,Z,X)
<=> difference(X,Y,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f302,axiom,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f402,conjecture,
? [X] : difference(X,n0,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f403,negated_conjecture,
~ ? [X] : difference(X,n0,X),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f404,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f716,plain,
! [X,Y,Z,RDN_X,RDN_Y,RDN_Z] :
( ~ rdn_translate(X,rdn_pos(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z)
| ~ rdn_translate(Z,rdn_pos(RDN_Z))
| sum(X,Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f287]) ).
fof(f717,plain,
! [X,Y,Z] :
( ! [RDN_Z] :
( ! [RDN_X,RDN_Y] :
( ~ rdn_translate(X,rdn_pos(RDN_X))
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_add_with_carry(rdnn(n0),RDN_X,RDN_Y,RDN_Z) )
| ~ rdn_translate(Z,rdn_pos(RDN_Z)) )
| sum(X,Y,Z) ),
inference(miniscoping,[status(esa)],[f716]) ).
fof(f718,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X2,rdn_pos(X3))
| ~ rdn_add_with_carry(rdnn(n0),X1,X3,X4)
| ~ rdn_translate(X5,rdn_pos(X4))
| sum(X0,X2,X5) ),
inference(cnf_transformation,[status(esa)],[f717]) ).
fof(f743,plain,
! [X,Y,Z] :
( ( ~ sum(Y,Z,X)
| difference(X,Y,Z) )
& ( sum(Y,Z,X)
| ~ difference(X,Y,Z) ) ),
inference(NNF_transformation,[status(esa)],[f296]) ).
fof(f744,plain,
( ! [X,Y,Z] :
( ~ sum(Y,Z,X)
| difference(X,Y,Z) )
& ! [X,Y,Z] :
( sum(Y,Z,X)
| ~ difference(X,Y,Z) ) ),
inference(miniscoping,[status(esa)],[f743]) ).
fof(f745,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| difference(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f744]) ).
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(f761,plain,
rdn_digit_add(rdnn(n0),rdnn(n0),rdnn(n0),rdnn(n0)),
inference(cnf_transformation,[status(esa)],[f302]) ).
fof(f861,plain,
! [X] : ~ difference(X,n0,X),
inference(pre_NNF_transformation,[status(esa)],[f403]) ).
fof(f862,plain,
! [X0] : ~ difference(X0,n0,X0),
inference(cnf_transformation,[status(esa)],[f861]) ).
fof(f1047,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X5,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X6,rdn_pos(rdnn(X3)))
| sum(X4,X5,X6) ),
inference(resolution,[status(thm)],[f749,f718]) ).
fof(f2752,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
| ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
| ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
| ~ rdn_translate(X5,rdn_pos(rdnn(X1)))
| ~ rdn_translate(X6,rdn_pos(rdnn(X3)))
| difference(X6,X4,X5) ),
inference(resolution,[status(thm)],[f1047,f745]) ).
fof(f2829,plain,
! [X0,X1,X2] :
( ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
| ~ rdn_digit_add(rdnn(X1),rdnn(n0),rdnn(n0),rdnn(n0))
| ~ rdn_translate(X2,rdn_pos(rdnn(X0)))
| difference(n0,X2,n0) ),
inference(resolution,[status(thm)],[f2752,f404]) ).
fof(f2833,plain,
! [X0,X1] :
( ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(n0),rdnn(n0))
| ~ rdn_translate(X1,rdn_pos(rdnn(X0)))
| difference(n0,X1,n0) ),
inference(resolution,[status(thm)],[f2829,f761]) ).
fof(f2834,plain,
! [X0] :
( ~ rdn_translate(X0,rdn_pos(rdnn(n0)))
| difference(n0,X0,n0) ),
inference(resolution,[status(thm)],[f2833,f761]) ).
fof(f2835,plain,
difference(n0,n0,n0),
inference(resolution,[status(thm)],[f2834,f404]) ).
fof(f2836,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2835,f862]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : NUM340+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:29:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.53 % Elapsed time: 0.180743 seconds
% 0.20/0.53 % CPU time: 1.284642 seconds
% 0.20/0.53 % Total memory used: 88.158 MB
% 0.20/0.53 % Net memory used: 87.187 MB
%------------------------------------------------------------------------------