%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:17:11 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 8 ~; 3 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 24 ( 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [Y] :
( ? [Z] : likes(Y,Z)
=> likes(lyle,Y) )
& ! [X] : likes(X,bruce) )
=> ? [U] :
! [V] : likes(U,V) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [U] :
? [V] : ~ likes(U,V)
& ! [Y] :
( likes(lyle,Y)
| ! [Z] : ~ likes(Y,Z) )
& ! [X] : likes(X,bruce) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [U] : ~ likes(U,sK0_skl(U))
& ! [Y] :
( likes(lyle,Y)
| ! [Z] : ~ likes(Y,Z) )
& ! [X] : likes(X,bruce) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(V,sK0_skl(U))],[f3]) ).
fof(f5,plain,
! [X0] : likes(X0,bruce),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( likes(lyle,X0)
| ~ likes(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] : ~ likes(X0,sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] : ~ likes(sK0_skl(lyle),X0),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN727+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n011.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:13:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.043469 seconds
% 0.13/0.41 % CPU time: 0.131828 seconds
% 0.13/0.41 % Total memory used: 48.372 MB
% 0.13/0.41 % Net memory used: 47.776 MB
%------------------------------------------------------------------------------