%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 12:08:35 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Y] : response(mocking_bird,Y) = response(Y,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [X,Y,W] : response(compose(X,Y),W) = response(X,response(Y,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( response(b,Y) != X
| response(a,X) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0] : response(mocking_bird,X0) = response(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0,X1] :
( response(b,X1) != X0
| response(a,X0) != X1 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,plain,
! [X0] : response(b,response(a,X0)) != X0,
inference(destructive_equality_resolution,[status(thm)],[f6]) ).
fof(f11,plain,
! [X0,X1] : response(mocking_bird,compose(X0,X1)) = response(X0,response(X1,compose(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f16,plain,
! [X0] : response(b,response(mocking_bird,compose(a,X0))) != response(X0,compose(a,X0)),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f18,plain,
$false,
inference(resolution,[status(thm)],[f16,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : COL054-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.43 % Computer : n014.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 21 14:06:50 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.44 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.50 % Elapsed time: 0.059893 seconds
% 0.14/0.50 % CPU time: 0.158032 seconds
% 0.14/0.50 % Total memory used: 45.553 MB
% 0.14/0.50 % Net memory used: 45.104 MB
%------------------------------------------------------------------------------