%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN062-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:15:05 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( big_i(X)
| ~ big_h(X)
| ~ big_f(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( big_j(X)
| ~ big_h(X)
| ~ big_i(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( big_h(X)
| ~ big_k(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
big_k(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ big_j(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0] :
( big_i(X0)
| ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] :
( big_j(X0)
| ~ big_h(X0)
| ~ big_i(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0] :
( big_h(X0)
| ~ big_k(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
big_f(a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
big_k(a),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
~ big_j(a),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,plain,
big_h(a),
inference(resolution,[status(thm)],[f11,f13]) ).
fof(f16,plain,
( big_i(a)
| ~ big_f(a) ),
inference(resolution,[status(thm)],[f9,f15]) ).
fof(f17,plain,
big_i(a),
inference(forward_subsumption_resolution,[status(thm)],[f16,f12]) ).
fof(f18,plain,
( big_j(a)
| ~ big_i(a) ),
inference(resolution,[status(thm)],[f10,f15]) ).
fof(f20,plain,
big_j(a),
inference(forward_subsumption_resolution,[status(thm)],[f18,f17]) ).
fof(f22,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN062-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:41:33 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.038498 seconds
% 0.13/0.40 % CPU time: 0.111470 seconds
% 0.13/0.40 % Total memory used: 32.830 MB
% 0.13/0.40 % Net memory used: 32.497 MB
%------------------------------------------------------------------------------