%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:18:33 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 67 ( 22 ~; 14 |; 25 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 46 ( 36 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B,C] :
( ( ! [X,Y] :
( r(X,Y)
=> q(X,Y) )
& ! [X] :
( s(X)
=> p(X) )
& r(B,C)
& s(B)
& s(A) )
=> ? [X,Y] :
( q(X,Y)
& p(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B,C] :
( ( ! [X,Y] :
( r(X,Y)
=> q(X,Y) )
& ! [X] :
( s(X)
=> p(X) )
& r(B,C)
& s(B)
& s(A) )
=> ? [X,Y] :
( q(X,Y)
& p(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [A,B,C] :
( ! [X,Y] :
( ~ q(X,Y)
| ~ p(X) )
& ! [X,Y] :
( q(X,Y)
| ~ r(X,Y) )
& ! [X] :
( p(X)
| ~ s(X) )
& r(B,C)
& s(B)
& s(A) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X] :
( ! [Y] : ~ q(X,Y)
| ~ p(X) )
& ! [X,Y] :
( q(X,Y)
| ~ r(X,Y) )
& ! [X] :
( p(X)
| ~ s(X) )
& ? [B] :
( ? [C] : r(B,C)
& s(B)
& ? [A] : s(A) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [X] :
( ! [Y] : ~ q(X,Y)
| ~ p(X) )
& ! [X,Y] :
( q(X,Y)
| ~ r(X,Y) )
& ! [X] :
( p(X)
| ~ s(X) )
& r(sK0_skl,sK2_skl)
& s(sK0_skl)
& s(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(B,sK0_skl),skolemize(A,sK1_skl),skolemize(C,sK2_skl)],[f4]) ).
fof(f7,plain,
s(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
r(sK0_skl,sK2_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] :
( p(X0)
| ~ s(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( q(X0,X1)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1] :
( ~ q(X0,X1)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0,X1] :
( ~ s(X0)
| ~ q(X0,X1) ),
inference(resolution,[status(thm)],[f11,f9]) ).
fof(f13,plain,
! [X0,X1] :
( ~ r(X0,X1)
| ~ s(X0) ),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f14,plain,
~ s(sK0_skl),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN944+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:30:51 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.42 % Elapsed time: 0.047695 seconds
% 0.11/0.42 % CPU time: 0.134286 seconds
% 0.11/0.42 % Total memory used: 55.304 MB
% 0.11/0.42 % Net memory used: 54.729 MB
%------------------------------------------------------------------------------