%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : NUM293+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:18:59 PM UTC 2026
% Result : Theorem 9.11s 1.63s
% Output : Proof 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 4 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f281,axiom,
! [X,Y,RDN_X,RDN_Y] :
( ( rdn_translate(Y,rdn_pos(RDN_Y))
& rdn_translate(X,rdn_neg(RDN_X)) )
=> less(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f281_nnf,plain,
! [X,Y,RDN_X,RDN_Y] :
( less(X,Y)
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_translate(X,rdn_neg(RDN_X)) ),
inference(nnf_transformation,[status(thm)],[f281]) ).
fof(f281_sk,plain,
! [X,RDN_X,Y,RDN_Y] :
( less(X,Y)
| ~ rdn_translate(Y,rdn_pos(RDN_Y))
| ~ rdn_translate(X,rdn_neg(RDN_X)) ),
inference(skolemisation,[status(esa)],[f281_nnf]) ).
cnf(c281,plain,
( less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3))
| ~ rdn_translate(X0,rdn_neg(X2)) ),
inference(cnf_transformation,[status(esa)],[f281_sk]) ).
fof(f128,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn1) ).
fof(f128_nnf,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(nnf_transformation,[status(thm)],[f128]) ).
cnf(c128,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(cnf_transformation,[status(esa)],[f128_nnf]) ).
cnf(p534,plain,
( less(nn1,X0)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[status(thm)],[c281,c128]) ).
fof(f13,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn13) ).
fof(f13_nnf,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(nnf_transformation,[status(thm)],[f13]) ).
cnf(c13,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[status(esa)],[f13_nnf]) ).
cnf(p675,plain,
less(nn1,n13),
inference(resolution,[status(thm)],[p534,c13]) ).
fof(f401,conjecture,
? [X] : less(X,n13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n13) ).
fof(f401_neg,negated_conjecture,
~ ? [X] : less(X,n13),
inference(negated_conjecture,[status(cth)],[f401]) ).
fof(f401_nnf,plain,
! [X] : ~ less(X,n13),
inference(nnf_transformation,[status(thm)],[f401_neg]) ).
fof(f401_sk,plain,
! [X] : ~ less(X,n13),
inference(skolemisation,[status(esa)],[f401_nnf]) ).
cnf(c406,plain,
~ less(X0,n13),
inference(cnf_transformation,[status(esa)],[f401_sk]) ).
cnf(p829,plain,
$false,
inference(resolution,[status(thm)],[p675,c406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM293+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 03:32:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.11/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.11/1.63 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------