%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT001-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 12:07:25 PM UTC 2026
% Result : Unsatisfiable 0.14s 20.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [X,Y,Z] :
( X = Z
| compose(compose(a,b),Z) != Y
| compose(compose(a,b),X) != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f45,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( compose(compose(a,b),Z) != Y
| compose(compose(a,b),X) != Y ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f46,plain,
! [X0,X1,X2] :
( X0 = X2
| compose(compose(a,b),X2) != X1
| compose(compose(a,b),X0) != X1 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f48,plain,
compose(b,h) = compose(b,g),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f49,plain,
h != g,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( X1 = X0
| compose(compose(a,b),X0) != compose(compose(a,b),X1) ),
inference(destructive_equality_resolution,[status(thm)],[f46]) ).
fof(f174,plain,
! [X0,X1] :
( X1 = X0
| compose(a,compose(b,X0)) != compose(compose(a,b),X1) ),
inference(forward_demodulation,[status(thm)],[f33,f53]) ).
fof(f175,plain,
! [X0,X1] :
( X1 = X0
| compose(a,compose(b,X0)) != compose(a,compose(b,X1)) ),
inference(forward_demodulation,[status(thm)],[f33,f174]) ).
fof(f177,plain,
! [X0] :
( X0 = g
| compose(a,compose(b,h)) != compose(a,compose(b,X0)) ),
inference(paramodulation,[status(thm)],[f48,f175]) ).
fof(f198,plain,
h = g,
inference(equality_resolution,[status(thm)],[f177]) ).
fof(f199,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f198,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT001-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/20.39 % Computer : n019.cluster.edu
% 0.11/20.39 % Model : x86_64 x86_64
% 0.11/20.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/20.39 % Memory : 8046.5625MB
% 0.11/20.39 % OS : Linux 6.8.0-71-generic
% 0.11/20.39 % CPULimit : 300
% 0.11/20.39 % WCLimit : 300
% 0.11/20.39 % DateTime : Mon Sep 21 13:55:40 UTC 2026
% 0.11/20.40 % CPUTime :
% 0.14/20.41 % Drodi V4.1.1
% 0.14/20.44 % Refutation found
% 0.14/20.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/20.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/20.46 % Elapsed time: 0.055219 seconds
% 0.14/20.46 % CPU time: 0.171926 seconds
% 0.14/20.46 % Total memory used: 102.578 MB
% 0.14/20.46 % Net memory used: 102.240 MB
%------------------------------------------------------------------------------