%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN979+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 : 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 03:18:37 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 12 ( 6 avg)
% Number of connectives : 71 ( 15 ~; 10 |; 38 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 26 ( 18 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B] :
? [X,Y] :
( ( s(A)
& ( s(A)
=> p(X,Y) )
& r(B)
& r(A)
& ( r(Y)
=> p(B,Y) )
& q(B)
& q(A)
& ( q(X)
=> p(X,A) ) )
=> p(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B] :
? [X,Y] :
( ( s(A)
& ( s(A)
=> p(X,Y) )
& r(B)
& r(A)
& ( r(Y)
=> p(B,Y) )
& q(B)
& q(A)
& ( q(X)
=> p(X,A) ) )
=> p(A,B) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [A,B] :
! [X,Y] :
( ~ p(A,B)
& s(A)
& ( p(X,Y)
| ~ s(A) )
& r(B)
& r(A)
& ( p(B,Y)
| ~ r(Y) )
& q(B)
& q(A)
& ( p(X,A)
| ~ q(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [A,B] :
( ~ p(A,B)
& s(A)
& ( ! [X,Y] : p(X,Y)
| ~ s(A) )
& r(B)
& r(A)
& ! [Y] :
( p(B,Y)
| ~ r(Y) )
& q(B)
& q(A)
& ! [X] :
( p(X,A)
| ~ q(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ~ p(sK0_skl,sK1_skl)
& s(sK0_skl)
& ( ! [X,Y] : p(X,Y)
| ~ s(sK0_skl) )
& r(sK1_skl)
& r(sK0_skl)
& ! [Y] :
( p(sK1_skl,Y)
| ~ r(Y) )
& q(sK1_skl)
& q(sK0_skl)
& ! [X] :
( p(X,sK0_skl)
| ~ q(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( p(X0,X1)
| ~ s(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
s(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
~ p(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : p(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f12,f13]) ).
fof(f17,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN979+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:33:46 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.051791 seconds
% 0.12/0.41 % CPU time: 0.139431 seconds
% 0.12/0.41 % Total memory used: 55.366 MB
% 0.12/0.41 % Net memory used: 54.815 MB
%------------------------------------------------------------------------------