%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS094+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:59:40 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 9 |; 2 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( cUnsatisfiable(X)
<=> cc1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cc1(X)
=> ~ cd1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cc1(X)
=> cd1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_11330),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X] :
( ( ~ cc1(X)
| cUnsatisfiable(X) )
& ( cc1(X)
| ~ cUnsatisfiable(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
( ! [X] :
( ~ cc1(X)
| cUnsatisfiable(X) )
& ! [X] :
( cc1(X)
| ~ cUnsatisfiable(X) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
! [X0] :
( cc1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f23,plain,
! [X] :
( ~ cd1(X)
| ~ cc1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0] :
( ~ cd1(X0)
| ~ cc1(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f25,plain,
! [X] :
( cd1(X)
| ~ cc1(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0] :
( cd1(X0)
| ~ cc1(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f31,plain,
cUnsatisfiable(i2003_11_14_17_20_11330),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(backward_subsumption_resolution,[status(thm)],[f19,f33]) ).
fof(f33,plain,
! [X0] : ~ cc1(X0),
inference(forward_subsumption_resolution,[status(thm)],[f26,f24]) ).
fof(f35,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f31,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS094+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 22:53:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.031749 seconds
% 0.13/0.40 % CPU time: 0.071382 seconds
% 0.13/0.40 % Total memory used: 991.728 KB
% 0.13/0.40 % Net memory used: 981.680 KB
%------------------------------------------------------------------------------