%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN068+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 : n013.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 03:15:07 PM UTC 2026
% Result : Theorem 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 20 ~; 10 |; 14 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 11 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( big_f(X)
=> ( ? [Y1] :
( ~ big_h(X,Y1)
& big_g(Y1) )
& ? [Y] :
( big_h(X,Y)
& big_g(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
? [X] :
( ! [Y] :
( big_g(Y)
=> big_h(X,Y) )
& big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
? [X] :
( ~ big_f(X)
& big_j(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [X] :
( ~ big_f(X)
& big_j(X) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X] :
( ( ? [Y1] :
( ~ big_h(X,Y1)
& big_g(Y1) )
& ? [Y] :
( big_h(X,Y)
& big_g(Y) ) )
| ~ big_f(X) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X] :
( ( ~ big_h(X,sK1_skl(X))
& big_g(sK1_skl(X))
& big_h(X,sK0_skl(X))
& big_g(sK0_skl(X)) )
| ~ big_f(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(Y1,sK1_skl(X))],[f5]) ).
fof(f9,plain,
! [X0] :
( big_g(sK1_skl(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [X0] :
( ~ big_h(X0,sK1_skl(X0))
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f11,plain,
? [X] :
( ! [Y] :
( big_h(X,Y)
| ~ big_g(Y) )
& big_j(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
( ! [Y] :
( big_h(sK2_skl,Y)
| ~ big_g(Y) )
& big_j(sK2_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X,sK2_skl)],[f11]) ).
fof(f13,plain,
big_j(sK2_skl),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0] :
( big_h(sK2_skl,X0)
| ~ big_g(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [X] :
( big_f(X)
| ~ big_j(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0] :
( big_f(X0)
| ~ big_j(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
( ~ big_f(sK2_skl)
| ~ big_g(sK1_skl(sK2_skl)) ),
inference(resolution,[status(thm)],[f14,f10]) ).
fof(f18,plain,
~ big_f(sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f17,f9]) ).
fof(f19,plain,
~ big_j(sK2_skl),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN068+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:41:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.40 % Elapsed time: 0.039702 seconds
% 0.08/0.40 % CPU time: 0.115499 seconds
% 0.08/0.40 % Total memory used: 38.019 MB
% 0.08/0.40 % Net memory used: 37.628 MB
%------------------------------------------------------------------------------