%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 0.15s 0.58s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 16 ~; 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(a,Z) != Y
| compose(a,X) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [X,Y,Z] :
( X = Z
| compose(b,Z) != Y
| compose(b,X) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
g != h,
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(a,Z) != Y
| compose(a,X) != Y ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f33,plain,
! [X0,X1,X2] :
( X0 = X2
| compose(a,X2) != X1
| compose(a,X0) != X1 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( compose(b,Z) != Y
| compose(b,X) != Y ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2] :
( X0 = X2
| compose(b,X2) != X1
| compose(b,X0) != X1 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f37,plain,
compose(compose(a,b),h) = compose(compose(a,b),g),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
g != h,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f40,plain,
! [X0,X1] :
( X1 = X0
| compose(a,X0) != compose(a,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( X1 = X0
| compose(b,X0) != compose(b,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f35]) ).
fof(f42,plain,
compose(a,compose(b,h)) = compose(compose(a,b),g),
inference(forward_demodulation,[status(thm)],[f28,f37]) ).
fof(f43,plain,
compose(a,compose(b,h)) = compose(a,compose(b,g)),
inference(forward_demodulation,[status(thm)],[f28,f42]) ).
fof(f45,plain,
compose(b,g) = compose(b,h),
inference(resolution,[status(thm)],[f40,f43]) ).
fof(f55,plain,
h = g,
inference(resolution,[status(thm)],[f41,f45]) ).
fof(f62,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f55,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT002-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.53 % Computer : n003.cluster.edu
% 0.15/0.53 % Model : x86_64 x86_64
% 0.15/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.53 % Memory : 8046.5625MB
% 0.15/0.53 % OS : Linux 6.8.0-71-generic
% 0.15/0.53 % CPULimit : 300
% 0.15/0.53 % WCLimit : 300
% 0.15/0.53 % DateTime : Mon Sep 21 13:56:47 UTC 2026
% 0.15/0.54 % CPUTime :
% 0.15/0.55 % Drodi V4.1.1
% 0.15/0.58 % Refutation found
% 0.15/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.61 % Elapsed time: 0.064655 seconds
% 0.15/0.61 % CPU time: 0.170163 seconds
% 0.15/0.61 % Total memory used: 58.268 MB
% 0.15/0.61 % Net memory used: 57.910 MB
%------------------------------------------------------------------------------