%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN945+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 : n026.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 0.09s 0.41s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 3 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 21 ( 10 ~; 4 |; 5 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] : p(X)
=> ! [A,B] :
( p(B)
& p(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] : p(X)
=> ! [A,B] :
( p(B)
& p(A) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [A,B] :
( ~ p(B)
| ~ p(A) )
& ! [X] : p(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ( ? [B] : ~ p(B)
| ? [A] : ~ p(A) )
& ! [X] : p(X) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ( ~ p(sK1_skl)
| ~ p(sK0_skl) )
& ! [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] : p(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
( ~ p(sK1_skl)
| ~ p(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
~ p(sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f7,f6]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN945+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:33:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.057061 seconds
% 0.13/0.42 % CPU time: 0.170509 seconds
% 0.13/0.42 % Total memory used: 36.229 MB
% 0.13/0.42 % Net memory used: 35.773 MB
%------------------------------------------------------------------------------