%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN370+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Thu Sep 24 03:15:54 PM UTC 2026
% Result : Theorem 0.10s 0.59s
% Output : CNFRefutation 0.10s
% 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(V,Y,f(Y))
| big_p(a,Y,h(Y)) )
=> big_p(V,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [V] :
! [Y] :
? [Z] :
( ( big_p(V,Y,f(Y))
| big_p(a,Y,h(Y)) )
=> big_p(V,Y,Z) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [V] :
? [Y] :
! [Z] :
( ~ big_p(V,Y,Z)
& ( big_p(V,Y,f(Y))
| big_p(a,Y,h(Y)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [V] :
? [Y] :
( ! [Z] : ~ big_p(V,Y,Z)
& ( big_p(V,Y,f(Y))
| big_p(a,Y,h(Y)) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
! [V] :
( ! [Z] : ~ big_p(V,sK0_skl(V),Z)
& ( big_p(V,sK0_skl(V),f(sK0_skl(V)))
| big_p(a,sK0_skl(V),h(sK0_skl(V))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(V))],[f4]) ).
fof(f6,plain,
! [X0] :
( big_p(X0,sK0_skl(X0),f(sK0_skl(X0)))
| big_p(a,sK0_skl(X0),h(sK0_skl(X0))) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ big_p(X0,sK0_skl(X0),X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] : big_p(a,sK0_skl(X0),h(sK0_skl(X0))),
inference(forward_subsumption_resolution,[status(thm)],[f6,f7]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN370+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n008.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 10:52:42 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 % Drodi V4.1.1
% 0.10/0.59 % Refutation found
% 0.10/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.61 % Elapsed time: 0.034605 seconds
% 0.10/0.61 % CPU time: 0.085270 seconds
% 0.10/0.61 % Total memory used: 10.786 MB
% 0.10/0.61 % Net memory used: 10.365 MB
%------------------------------------------------------------------------------