%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN326+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 03:15:45 PM UTC 2026
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 45 ( 10 ~; 7 |; 12 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 17 ( 13 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y,Z)
=> ( big_g(Y)
=> big_h(X) ) )
=> big_f(X,X) )
=> ( ( ( big_f(Z,X)
=> big_g(X) )
=> big_h(Z) )
=> ( big_f(X,Y)
=> big_f(Z,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y,Z] :
( ~ big_f(Z,Z)
& big_f(X,Y)
& ( big_h(Z)
| ( ~ big_g(X)
& big_f(Z,X) ) )
& ( big_f(X,X)
| ( ~ big_h(X)
& big_g(Y)
& big_f(Y,Z) ) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X] :
( ~ big_f(sK1_skl(X),sK1_skl(X))
& big_f(X,sK0_skl(X))
& ( big_h(sK1_skl(X))
| ( ~ big_g(X)
& big_f(sK1_skl(X),X) ) )
& ( big_f(X,X)
| ( ~ big_h(X)
& big_g(sK0_skl(X))
& big_f(sK0_skl(X),sK1_skl(X)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Z,sK1_skl(X))],[f3]) ).
fof(f6,plain,
! [X0] :
( big_f(X0,X0)
| big_g(sK0_skl(X0)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] :
( big_f(X0,X0)
| ~ big_h(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0] :
( big_h(sK1_skl(X0))
| ~ big_g(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0] : ~ big_f(sK1_skl(X0),sK1_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0] : big_g(sK0_skl(sK1_skl(X0))),
inference(resolution,[status(thm)],[f6,f11]) ).
fof(f14,plain,
! [X0] : big_h(sK1_skl(sK0_skl(sK1_skl(X0)))),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f15,plain,
! [X0] : big_f(sK1_skl(sK0_skl(sK1_skl(X0))),sK1_skl(sK0_skl(sK1_skl(X0)))),
inference(resolution,[status(thm)],[f14,f7]) ).
fof(f16,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f15,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN326+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:44:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.049167 seconds
% 0.13/0.43 % CPU time: 0.115355 seconds
% 0.13/0.43 % Total memory used: 16.543 MB
% 0.13/0.43 % Net memory used: 15.991 MB
%------------------------------------------------------------------------------