%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 27 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,W] : response(compose(X,Y),W) = response(X,response(Y,W)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( response(X,common_bird(Y)) = response(Y,common_bird(Y))
| ~ agreeable(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Z] :
( agreeable(X)
| response(X,Z) != response(compatible(X),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
agreeable(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ agreeable(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
c = compose(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X] :
( ! [Y] : response(X,common_bird(Y)) = response(Y,common_bird(Y))
| ~ agreeable(X) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( response(X0,common_bird(X1)) = response(X1,common_bird(X1))
| ~ agreeable(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X] :
( agreeable(X)
| ! [Z] : response(X,Z) != response(compatible(X),Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( agreeable(X0)
| response(X0,X1) != response(compatible(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
agreeable(c),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
~ agreeable(a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
c = compose(a,b),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0] : response(c,X0) = response(a,response(b,X0)),
inference(paramodulation,[status(thm)],[f14,f7]) ).
fof(f16,plain,
! [X0] : response(c,common_bird(X0)) = response(X0,common_bird(X0)),
inference(resolution,[status(thm)],[f9,f12]) ).
fof(f19,plain,
! [X0,X1] : response(c,common_bird(compose(X0,X1))) = response(X0,response(X1,common_bird(compose(X0,X1)))),
inference(paramodulation,[status(thm)],[f7,f16]) ).
fof(f30,plain,
! [X0,X1] :
( agreeable(X0)
| response(X0,response(X1,common_bird(compose(compatible(X0),X1)))) != response(c,common_bird(compose(compatible(X0),X1))) ),
inference(paramodulation,[status(thm)],[f19,f11]) ).
fof(f38,plain,
agreeable(a),
inference(resolution,[status(thm)],[f30,f15]) ).
fof(f42,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f38,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL052-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.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 14:09:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.051067 seconds
% 0.10/0.43 % CPU time: 0.144872 seconds
% 0.10/0.43 % Total memory used: 49.859 MB
% 0.10/0.43 % Net memory used: 49.447 MB
%------------------------------------------------------------------------------