TSTP Solution File: SYN721-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN721-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:52:54 EDT 2024
% Result : Unsatisfiable 0.10s 0.33s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A,B] :
( q(A,A)
| ~ r(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [C,B,A] :
( r(C,B)
| ~ q(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [A] :
( ~ q(A,a)
| ~ r(b,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
r(a,b),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [A] :
( q(A,A)
| ! [B] : ~ r(A,B) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( q(X0,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [B] :
( ! [C] : r(C,B)
| ! [A] : ~ q(A,B) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2] :
( r(X0,X1)
| ~ q(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
q(a,a),
inference(resolution,[status(thm)],[f7,f5]) ).
fof(f12,plain,
! [X0] : r(X0,a),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f14,plain,
~ r(b,a),
inference(resolution,[status(thm)],[f10,f11]) ).
fof(f15,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYN721-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 21:51:28 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 0.10/0.33 % Refutation found
% 0.10/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.34 % Elapsed time: 0.013263 seconds
% 0.10/0.34 % CPU time: 0.012118 seconds
% 0.10/0.34 % Total memory used: 2.732 MB
% 0.10/0.34 % Net memory used: 2.662 MB
%------------------------------------------------------------------------------