TSTP Solution File: GRP005-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:18:45 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 17 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : product(X,inverse(X),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
an_element(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] :
( ~ an_element(X)
| ~ an_element(Y)
| ~ product(X,inverse(Y),Z)
| an_element(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ an_element(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : product(X0,inverse(X0),identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
an_element(a),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [Z] :
( ! [X,Y] :
( ~ an_element(X)
| ~ an_element(Y)
| ~ product(X,inverse(Y),Z) )
| an_element(Z) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ an_element(X0)
| ~ an_element(X1)
| ~ product(X0,inverse(X1),X2)
| an_element(X2) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f21,plain,
~ an_element(identity),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] :
( ~ an_element(X0)
| ~ an_element(X1)
| ~ product(X0,inverse(X1),identity) ),
inference(resolution,[status(thm)],[f16,f21]) ).
fof(f26,plain,
! [X0] :
( ~ an_element(X0)
| ~ product(X0,inverse(a),identity) ),
inference(resolution,[status(thm)],[f24,f14]) ).
fof(f28,plain,
~ product(a,inverse(a),identity),
inference(resolution,[status(thm)],[f26,f14]) ).
fof(f29,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:40:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.017122 seconds
% 0.13/0.36 % CPU time: 0.024348 seconds
% 0.13/0.36 % Total memory used: 6.452 MB
% 0.13/0.36 % Net memory used: 6.382 MB
%------------------------------------------------------------------------------