%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT004-4 : 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 12:07:26 PM UTC 2026
% Result : Unsatisfiable 0.21s 5.50s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 21 ~; 14 |; 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
! [X,Y,Z] :
( X = Z
| compose(Z,a) != Y
| compose(X,a) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [X,Y,Z] :
( X = Z
| compose(Z,b) != Y
| compose(X,b) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( compose(Z,a) != Y
| compose(X,a) != Y ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f33,plain,
! [X0,X1,X2] :
( X0 = X2
| compose(X2,a) != X1
| compose(X0,a) != X1 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( compose(Z,b) != Y
| compose(X,b) != Y ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2] :
( X0 = X2
| compose(X2,b) != X1
| compose(X0,b) != X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
h != g,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f40,plain,
! [X0,X1] :
( X1 = X0
| compose(X0,a) != compose(X1,a) ),
inference(destructive_equality_resolution,[status(thm)],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( X1 = X0
| compose(X0,b) != compose(X1,b) ),
inference(destructive_equality_resolution,[status(thm)],[f35]) ).
fof(f59,plain,
compose(g,a) != compose(h,a),
inference(resolution,[status(thm)],[f40,f38]) ).
fof(f110,plain,
compose(compose(h,a),b) != compose(compose(g,a),b),
inference(resolution,[status(thm)],[f41,f59]) ).
fof(f126,plain,
compose(h,compose(a,b)) != compose(compose(g,a),b),
inference(forward_demodulation,[status(thm)],[f28,f110]) ).
fof(f127,plain,
compose(h,compose(a,b)) != compose(g,compose(a,b)),
inference(forward_demodulation,[status(thm)],[f28,f126]) ).
fof(f128,plain,
compose(h,compose(a,b)) != compose(h,compose(a,b)),
inference(forward_demodulation,[status(thm)],[f37,f127]) ).
fof(f129,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT004-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n002.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 13:58:09 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.45 % Drodi V4.1.1
% 0.21/5.50 % Refutation found
% 0.21/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.52 % Elapsed time: 0.079894 seconds
% 0.21/5.52 % CPU time: 0.315119 seconds
% 0.21/5.52 % Total memory used: 70.009 MB
% 0.21/5.52 % Net memory used: 69.652 MB
%------------------------------------------------------------------------------