TSTP Solution File: SYN370+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Tue Apr 30 20:52:02 EDT 2024
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 16 ( 5 ~; 6 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 12 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [V] :
! [Y] :
? [Z] :
( ( big_p(a,Y,h(Y))
| big_p(V,Y,f(Y)) )
=> big_p(V,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [V] :
! [Y] :
? [Z] :
( ( big_p(a,Y,h(Y))
| big_p(V,Y,f(Y)) )
=> big_p(V,Y,Z) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [V] :
? [Y] :
! [Z] :
( ( big_p(a,Y,h(Y))
| big_p(V,Y,f(Y)) )
& ~ big_p(V,Y,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
! [V] :
? [Y] :
( ( big_p(a,Y,h(Y))
| big_p(V,Y,f(Y)) )
& ! [Z] : ~ big_p(V,Y,Z) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f5,plain,
! [V] :
( ( big_p(a,sk0_0(V),h(sk0_0(V)))
| big_p(V,sk0_0(V),f(sk0_0(V))) )
& ! [Z] : ~ big_p(V,sk0_0(V),Z) ),
inference(skolemization,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0] :
( big_p(a,sk0_0(X0),h(sk0_0(X0)))
| big_p(X0,sk0_0(X0),f(sk0_0(X0))) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ big_p(X0,sk0_0(X0),X1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0] : big_p(a,sk0_0(X0),h(sk0_0(X0))),
inference(forward_subsumption_resolution,[status(thm)],[f6,f7]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN370+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:00:31 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.015108 seconds
% 0.20/0.37 % CPU time: 0.025749 seconds
% 0.20/0.37 % Total memory used: 1.878 MB
% 0.20/0.37 % Net memory used: 1.693 MB
%------------------------------------------------------------------------------