%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:18:36 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 10 ~; 4 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 13 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A,B] :
? [X,Y] :
( ( p(X)
=> r(Y) )
=> ( p(A)
=> r(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A,B] :
? [X,Y] :
( ( p(X)
=> r(Y) )
=> ( p(A)
=> r(B) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [A,B] :
! [X,Y] :
( ~ r(B)
& p(A)
& ( r(Y)
| ~ p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ? [B] : ~ r(B)
& ? [A] : p(A)
& ( ! [Y] : r(Y)
| ! [X] : ~ p(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ~ r(sK1_skl)
& p(sK0_skl)
& ( ! [Y] : r(Y)
| ! [X] : ~ p(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( r(X1)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
p(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
~ r(sK1_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] : ~ p(X0),
inference(resolution,[status(thm)],[f6,f8]) ).
fof(f11,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f7,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN970+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n007.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:29:20 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.042089 seconds
% 0.14/0.39 % CPU time: 0.119127 seconds
% 0.14/0.39 % Total memory used: 51.764 MB
% 0.14/0.39 % Net memory used: 51.134 MB
%------------------------------------------------------------------------------