%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN325+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 : n018.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 03:15:45 PM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 3 unt; 1 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 54 ( 18 ~; 15 |; 14 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 28 ( 24 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_g(X)
& big_f(X,Y) ) )
=> big_g(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y] :
( ( ( big_f(X,X)
=> big_f(Y,Y) )
=> ( big_g(X)
& big_f(X,Y) ) )
=> big_g(Y) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y] :
( ~ big_g(Y)
& ( ( big_g(X)
& big_f(X,Y) )
| ( ~ big_f(Y,Y)
& big_f(X,X) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,definition,
! [X,Y] :
( sP0_prd(Y,X)
<=> ( ~ big_f(Y,Y)
& big_f(X,X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f5,plain,
! [X] :
? [Y] :
( ~ big_g(Y)
& ( ( big_g(X)
& big_f(X,Y) )
| sP0_prd(Y,X) ) ),
inference(formula_renaming,[status(thm)],[f3,f4]) ).
fof(f6,plain,
! [X] :
( ~ big_g(sK0_skl(X))
& ( ( big_g(X)
& big_f(X,sK0_skl(X)) )
| sP0_prd(sK0_skl(X),X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f5]) ).
fof(f8,plain,
! [X0] :
( big_g(X0)
| sP0_prd(sK0_skl(X0),X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0] : ~ big_g(sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X,Y] :
( ( big_f(Y,Y)
| ~ big_f(X,X)
| sP0_prd(Y,X) )
& ( ( ~ big_f(Y,Y)
& big_f(X,X) )
| ~ sP0_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
( ! [X,Y] :
( big_f(Y,Y)
| ~ big_f(X,X)
| sP0_prd(Y,X) )
& ! [X,Y] :
( ( ~ big_f(Y,Y)
& big_f(X,X) )
| ~ sP0_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X1,X1)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_f(X0,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f15,plain,
! [X0] :
( ~ big_f(sK0_skl(X0),sK0_skl(X0))
| big_g(X0) ),
inference(resolution,[status(thm)],[f8,f13]) ).
fof(f16,plain,
! [X0,X1] :
( ~ sP0_prd(X1,sK0_skl(X0))
| big_g(X0) ),
inference(resolution,[status(thm)],[f15,f12]) ).
fof(f17,plain,
! [X0] :
( big_g(sK0_skl(X0))
| big_g(X0) ),
inference(resolution,[status(thm)],[f16,f8]) ).
fof(f18,plain,
! [X0] : big_g(X0),
inference(forward_subsumption_resolution,[status(thm)],[f17,f9]) ).
fof(f20,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN325+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:51:29 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.042323 seconds
% 0.13/0.41 % CPU time: 0.117963 seconds
% 0.13/0.41 % Total memory used: 16.000 MB
% 0.13/0.41 % Net memory used: 15.430 MB
%------------------------------------------------------------------------------