%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 03:42:51 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.40s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 7 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [E,AP,K] : 'E'(f('AP'(s(s('0')),K)),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [E,B] : 'E'(f(B),s('0')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [E,A_0,B_0] :
( ~ 'E'(f(B_0),s('0'))
| ~ 'E'(f(A_0),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [K] : 'E'(f('AP'(s(s('0')),K)),'0'),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f9,plain,
! [E,AP,X0] : 'E'(f('AP'(s(s('0')),X0)),'0'),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [B] : 'E'(f(B),s('0')),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [E,X0] : 'E'(f(X0),s('0')),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( ! [B_0] : ~ 'E'(f(B_0),s('0'))
| ! [A_0] : ~ 'E'(f(A_0),'0') ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f13,plain,
! [E,X0,X1] :
( ~ 'E'(f(X1),s('0'))
| ~ 'E'(f(X0),'0') ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f17,plain,
! [E,X0] : ~ 'E'(f(X0),'0'),
inference(forward_subsumption_resolution,[status(thm)],[f13,f11]) ).
fof(f18,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO632-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 12:09:21 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.40 % Refutation found
% 0.02/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.41 % Elapsed time: 0.033671 seconds
% 0.02/0.41 % CPU time: 0.067891 seconds
% 0.02/0.41 % Total memory used: 775.520 KB
% 0.02/0.41 % Net memory used: 752.496 KB
%------------------------------------------------------------------------------