%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:17:12 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 31 ( 11 ~; 5 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 37 ( 27 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( q(W,Z)
| p(Z,W) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [Y] :
( ! [X] : p(X,Y)
=> ! [U] : q(U,Y) )
=> ? [Z] :
( ? [V] : p(V,Z)
=> ? [W] :
( q(W,Z)
| p(Z,W) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
( ! [W] :
( ~ q(W,Z)
& ~ p(Z,W) )
& ? [V] : p(V,Z) )
& ! [Y] :
( ! [U] : q(U,Y)
| ? [X] : ~ p(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z,W] : ~ q(W,Z)
& ! [Z,W] : ~ p(Z,W)
& ! [Z] :
? [V] : p(V,Z)
& ! [Y] :
( ! [U] : q(U,Y)
| ? [X] : ~ p(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Z,W] : ~ q(W,Z)
& ! [Z,W] : ~ p(Z,W)
& ! [Z] : p(sK1_skl(Z),Z)
& ! [Y] :
( ! [U] : q(U,Y)
| ~ p(sK0_skl(Y),Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl(Y)),skolemize(V,sK1_skl(Z))],[f4]) ).
fof(f7,plain,
! [X0] : p(sK1_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0,X1] : ~ p(X0,X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f7,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN732+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.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 11:14:55 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.39 % Elapsed time: 0.025192 seconds
% 0.10/0.39 % CPU time: 0.057010 seconds
% 0.10/0.39 % Total memory used: 3.455 MB
% 0.10/0.39 % Net memory used: 3.414 MB
%------------------------------------------------------------------------------