%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:08:34 PM UTC 2026
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 21 ( 8 avg)
% Number of connectives : 148 ( 65 ~; 53 |; 30 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 50 ( 39 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,conjecture,
~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( ! [X] :
( p11(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p13(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ! [Y] :
( ! [X] :
( p15(X)
| ~ r1(Y,X) )
| ~ r1(X,Y) )
| ~ ! [Y] :
( ~ ( ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p14(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p12(X)
| ~ r1(Y,X) )
| ~ ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f9,plain,
? [X] :
( ? [Y] :
( ? [X] :
( ~ p11(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p12(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p13(X)
& r1(Y,X) )
& r1(X,Y) )
& ? [Y] :
( ? [X] :
( ~ p15(X)
& r1(Y,X) )
& r1(X,Y) )
& ! [Y] :
( ( ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p14(X)
| ~ r1(Y,X) )
& ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ~ p11(sK8_skl)
& r1(sK7_skl,sK8_skl)
& r1(sK0_skl,sK7_skl)
& ~ p12(sK6_skl)
& r1(sK5_skl,sK6_skl)
& r1(sK0_skl,sK5_skl)
& ~ p13(sK4_skl)
& r1(sK3_skl,sK4_skl)
& r1(sK0_skl,sK3_skl)
& ~ p15(sK2_skl)
& r1(sK1_skl,sK2_skl)
& r1(sK0_skl,sK1_skl)
& ! [Y] :
( ( ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p14(X)
| ~ r1(Y,X) )
& ! [X] :
( p12(X)
| ~ r1(Y,X) )
& ! [X] :
( p16(X)
| ~ r1(Y,X) ) )
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(X,sK4_skl),skolemize(Y,sK5_skl),skolemize(X,sK6_skl),skolemize(Y,sK7_skl),skolemize(X,sK8_skl)],[f9]) ).
fof(f12,plain,
! [X0,X1] :
( p12(X1)
| ~ r1(X0,X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f21,plain,
r1(sK0_skl,sK5_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
r1(sK5_skl,sK6_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f23,plain,
~ p12(sK6_skl),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f44,plain,
! [X0] :
( p12(X0)
| ~ r1(sK5_skl,X0) ),
inference(resolution,[status(thm)],[f12,f21]) ).
fof(f73,plain,
p12(sK6_skl),
inference(resolution,[status(thm)],[f44,f22]) ).
fof(f75,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f73,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL682+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 00:57:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.041979 seconds
% 0.10/0.44 % CPU time: 0.126853 seconds
% 0.10/0.44 % Total memory used: 38.427 MB
% 0.10/0.44 % Net memory used: 38.136 MB
%------------------------------------------------------------------------------