%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 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,negated_conjecture,
! [U] : response(U,f(U)) != response(a,response(b,response(c,f(U)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f4,plain,
! [X0] : response(X0,f(X0)) != response(a,response(b,response(c,f(X0)))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1] : response(X0,response(X1,f(compose(X0,X1)))) != response(a,response(b,response(c,f(compose(X0,X1))))),
inference(paramodulation,[status(thm)],[f3,f4]) ).
fof(f17,plain,
! [X0,X1,X2] : response(X0,response(X1,response(X2,f(compose(compose(X0,X1),X2))))) != response(a,response(b,response(c,f(compose(compose(X0,X1),X2))))),
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f20,plain,
$false,
inference(destructive_equality_resolution,[status(thm)],[f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 14:04:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.39 % Elapsed time: 0.023897 seconds
% 0.10/0.39 % CPU time: 0.024717 seconds
% 0.10/0.39 % Total memory used: 399.904 KB
% 0.10/0.39 % Net memory used: 369.584 KB
%------------------------------------------------------------------------------