%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:08:36 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.30s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 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 : 3 ( 1 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,W] : response(compose(X,Y),W) = response(X,response(Y,W)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
response(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
response(a,c) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [W,V] : response(W,V) != V,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : response(compose(X0,X1),X2) = response(X0,response(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
response(a,b) = c,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
response(a,c) = b,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1] : response(X0,X1) != X1,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] : response(X0,response(X1,X2)) != X2,
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f24,plain,
! [X0] : response(X0,b) != c,
inference(paramodulation,[status(thm)],[f7,f19]) ).
fof(f28,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : COL056-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 14:06:38 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.30 % Refutation found
% 0.04/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.31 % Elapsed time: 0.012968 seconds
% 0.04/0.31 % CPU time: 0.014803 seconds
% 0.04/0.31 % Total memory used: 396.800 KB
% 0.04/0.31 % Net memory used: 360.864 KB
%------------------------------------------------------------------------------