%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN333+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 03:15:47 PM UTC 2026
% Result : Theorem 0.24s 0.58s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 71 ( 30 ~; 20 |; 17 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 43 ( 34 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
! [Z] :
( big_f(X,Y)
=> ( ( ( big_g(X,Y)
& big_f(X,Y) )
=> ( big_g(Z,Z)
& big_g(X,Z) ) )
& big_f(Z,Z)
& big_f(Y,Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
! [Z] :
( big_f(X,Y)
=> ( ( ( big_g(X,Y)
& big_f(X,Y) )
=> ( big_g(Z,Z)
& big_g(X,Z) ) )
& big_f(Z,Z)
& big_f(Y,Z) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
? [Z] :
( ( ( ( ~ big_g(Z,Z)
| ~ big_g(X,Z) )
& big_g(X,Y)
& big_f(X,Y) )
| ~ big_f(Z,Z)
| ~ big_f(Y,Z) )
& big_f(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Y] :
( ( ( ? [Z] : ~ big_g(Z,Z)
| ! [X] :
? [Z] : ~ big_g(X,Z) )
& ! [X] : big_g(X,Y)
& ! [X] : big_f(X,Y) )
| ? [Z] : ~ big_f(Z,Z)
| ? [Z] : ~ big_f(Y,Z) )
& ! [X,Y] : big_f(X,Y) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Y] :
( ( ( ~ big_g(sK3_skl(Y),sK3_skl(Y))
| ! [X] : ~ big_g(X,sK2_skl(X,Y)) )
& ! [X] : big_g(X,Y)
& ! [X] : big_f(X,Y) )
| ~ big_f(sK1_skl(Y),sK1_skl(Y))
| ~ big_f(Y,sK0_skl(Y)) )
& ! [X,Y] : big_f(X,Y) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(Z,sK0_skl(Y)),skolemize(Z,sK1_skl(Y)),skolemize(Z,sK2_skl(X,Y)),skolemize(Z,sK3_skl(Y))],[f4]) ).
fof(f6,plain,
! [X0,X1] : big_f(X0,X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( big_g(X1,X0)
| ~ big_f(sK1_skl(X0),sK1_skl(X0))
| ~ big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_g(sK3_skl(X0),sK3_skl(X0))
| ~ big_g(X1,sK2_skl(X1,X0))
| ~ big_f(sK1_skl(X0),sK1_skl(X0))
| ~ big_f(X0,sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( big_g(X1,X0)
| ~ big_f(sK1_skl(X0),sK1_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f6]) ).
fof(f11,plain,
! [X0,X1] :
( ~ big_g(sK3_skl(X0),sK3_skl(X0))
| ~ big_g(X1,sK2_skl(X1,X0))
| ~ big_f(sK1_skl(X0),sK1_skl(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f6]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(sK1_skl(sK3_skl(X0)),sK1_skl(sK3_skl(X0)))
| ~ big_g(X1,sK2_skl(X1,X0))
| ~ big_f(sK1_skl(X0),sK1_skl(X0)) ),
inference(resolution,[status(thm)],[f11,f10]) ).
fof(f13,plain,
! [X0,X1] :
( ~ big_f(sK1_skl(sK3_skl(X1)),sK1_skl(sK3_skl(X1)))
| ~ big_g(X0,sK2_skl(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f6]) ).
fof(f14,plain,
! [X0,X1] : ~ big_g(X0,sK2_skl(X0,X1)),
inference(forward_subsumption_resolution,[status(thm)],[f13,f6]) ).
fof(f15,plain,
! [X0,X1] : ~ big_f(sK1_skl(sK2_skl(X0,X1)),sK1_skl(sK2_skl(X0,X1))),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f16,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f15,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN333+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.08 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.54 % Computer : n017.cluster.edu
% 0.24/0.54 % Model : x86_64 x86_64
% 0.24/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.54 % Memory : 8046.5625MB
% 0.24/0.54 % OS : Linux 6.8.0-71-generic
% 0.24/0.54 % CPULimit : 300
% 0.24/0.54 % WCLimit : 300
% 0.24/0.54 % DateTime : Mon Sep 21 10:45:12 UTC 2026
% 0.24/0.54 % CPUTime :
% 0.24/0.56 % Drodi V4.1.1
% 0.24/0.58 % Refutation found
% 0.24/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.24/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.65 % Elapsed time: 0.099074 seconds
% 0.24/0.65 % CPU time: 0.140558 seconds
% 0.24/0.65 % Total memory used: 1.729 MB
% 0.24/0.65 % Net memory used: 1.717 MB
%------------------------------------------------------------------------------