TSTP Solution File: SYN009-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Wed May 31 12:45:41 EDT 2023
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 36 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 33 (; 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y,Z] :
( ~ p(X,Y,Z)
| ~ t(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y,Z] :
( ~ q(X,Y,Z)
| ~ t(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y,Z] :
( ~ r(X,Y,Z)
| ~ t(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
s(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
t(c,c,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X,Y,Z] :
( ~ s(X)
| ~ s(Y)
| ~ s(Z)
| p(X,Y,Z)
| q(Y,Z,X)
| r(Z,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| ~ t(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ q(X0,X1,X2)
| ~ t(X1,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ r(X0,X1,X2)
| ~ t(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
s(c),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f15,plain,
t(c,c,c),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ s(X0)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| q(X1,X2,X0)
| r(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ s(X0)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| r(X2,X0,X1)
| ~ t(X2,X0,X1) ),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ s(X0)
| ~ s(X1)
| ~ s(X2)
| p(X0,X1,X2)
| ~ t(X2,X0,X1)
| ~ t(X1,X2,X0) ),
inference(resolution,[status(thm)],[f17,f11]) ).
fof(f48,plain,
! [X0] :
( ~ s(X0)
| ~ s(X0)
| ~ s(X0)
| p(X0,X0,X0)
| ~ t(X0,X0,X0) ),
inference(factoring,[status(esa)],[f19]) ).
fof(f49,plain,
! [X0] :
( ~ s(X0)
| p(X0,X0,X0)
| ~ t(X0,X0,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0] :
( ~ s(X0)
| ~ t(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f9]) ).
fof(f51,plain,
~ s(c),
inference(resolution,[status(thm)],[f50,f15]) ).
fof(f52,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f51,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN009-2 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n017.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 09:53:40 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27 % Elapsed time: 0.010464 seconds
% 0.06/0.27 % CPU time: 0.017448 seconds
% 0.06/0.27 % Memory used: 1.832 MB
%------------------------------------------------------------------------------