%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL646+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 : n003.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 01:08:19 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 108 ( 47 ~; 39 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 32 ( 25 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p6(Y)
| ~ r1(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [X] :
~ ( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p3(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p5(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
| ~ ! [Y] :
( p6(Y)
| ~ r1(X,Y) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [X] :
( ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p2(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p3(Y)
& r1(X,Y) )
& ? [Y] :
( ~ p5(Y)
& r1(X,Y) )
& ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p4(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p2(Y)
| ~ r1(X,Y) )
& ! [Y] :
( p6(Y)
| ~ r1(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ p1(sK4_skl)
& r1(sK0_skl,sK4_skl)
& ~ p2(sK3_skl)
& r1(sK0_skl,sK3_skl)
& ~ p3(sK2_skl)
& r1(sK0_skl,sK2_skl)
& ~ p5(sK1_skl)
& r1(sK0_skl,sK1_skl)
& ! [Y] :
( p2(Y)
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p4(Y)
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p2(Y)
| ~ r1(sK0_skl,Y) )
& ! [Y] :
( p6(Y)
| ~ r1(sK0_skl,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Y,sK2_skl),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl)],[f3]) ).
fof(f6,plain,
! [X0] :
( p2(X0)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
r1(sK0_skl,sK3_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
~ p2(sK3_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
p2(sK3_skl),
inference(resolution,[status(thm)],[f6,f13]) ).
fof(f25,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f22,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL646+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 00:46:01 UTC 2026
% 0.15/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.50 % Elapsed time: 0.117710 seconds
% 0.15/0.50 % CPU time: 0.102743 seconds
% 0.15/0.50 % Total memory used: 1.735 MB
% 0.15/0.50 % Net memory used: 1.734 MB
%------------------------------------------------------------------------------