TSTP Solution File: CAT003-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT003-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:13:16 EDT 2024
% Result : Unsatisfiable 0.16s 0.37s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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(f19,hypothesis,
! [X,Y,Z] :
( compose(X,compose(a,b)) != Y
| compose(Z,compose(a,b)) != Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
compose(h,a) = compose(g,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f45,plain,
! [X,Z] :
( ! [Y] :
( compose(X,compose(a,b)) != Y
| compose(Z,compose(a,b)) != Y )
| X = Z ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f46,plain,
! [X0,X1,X2] :
( compose(X0,compose(a,b)) != X1
| compose(X2,compose(a,b)) != X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f48,plain,
compose(h,a) = compose(g,a),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f49,plain,
g != h,
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( compose(X0,compose(a,b)) != compose(X1,compose(a,b))
| X1 = X0 ),
inference(destructive_equality_resolution,[status(esa)],[f46]) ).
fof(f165,plain,
! [X0] : compose(g,compose(a,X0)) = compose(compose(h,a),X0),
inference(paramodulation,[status(thm)],[f48,f33]) ).
fof(f166,plain,
! [X0] : compose(g,compose(a,X0)) = compose(h,compose(a,X0)),
inference(forward_demodulation,[status(thm)],[f33,f165]) ).
fof(f597,plain,
h = g,
inference(resolution,[status(thm)],[f166,f53]) ).
fof(f598,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f597,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT003-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n027.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 22:41:32 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.16/0.37 % Refutation found
% 0.16/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.37 % Elapsed time: 0.035118 seconds
% 0.16/0.37 % CPU time: 0.152907 seconds
% 0.16/0.37 % Total memory used: 45.230 MB
% 0.16/0.37 % Net memory used: 44.906 MB
%------------------------------------------------------------------------------