TSTP Solution File: KRS012-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS012-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:24:36 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 6 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 23 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ f(exists),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X3,X1] :
( e(X3)
| ~ c(X1)
| ~ r(X1,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X2,X1] :
( d(X2)
| ~ c(X1)
| ~ r(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X1] :
( f(X1)
| ~ e(u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X1] :
( f(X1)
| r(X1,u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,plain,
c(exists),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
~ f(exists),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [X3] :
( ! [X1] :
( e(X3)
| ~ c(X1)
| ~ r(X1,X3) )
| ~ d(X3) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1] :
( e(X0)
| ~ c(X1)
| ~ r(X1,X0)
| ~ d(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( d(X0)
| ~ c(X1)
| ~ r(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0] :
( f(X0)
| ~ e(u1r1(X0)) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] :
( f(X0)
| r(X0,u1r1(X0)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
! [X0] :
( f(X0)
| e(u1r1(X0))
| ~ c(X0)
| ~ d(u1r1(X0)) ),
inference(resolution,[status(thm)],[f27,f17]) ).
fof(f29,plain,
! [X0] :
( f(X0)
| ~ c(X0)
| ~ d(u1r1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f26]) ).
fof(f31,plain,
! [X0] :
( d(u1r1(X0))
| ~ c(X0)
| f(X0) ),
inference(resolution,[status(thm)],[f18,f27]) ).
fof(f32,plain,
! [X0] :
( ~ c(X0)
| f(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f31,f29]) ).
fof(f33,plain,
f(exists),
inference(resolution,[status(thm)],[f32,f14]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f33,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS012-1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n018.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 23:36:43 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.015946 seconds
% 0.12/0.37 % CPU time: 0.026096 seconds
% 0.12/0.37 % Total memory used: 1.935 MB
% 0.12/0.37 % Net memory used: 1.842 MB
%------------------------------------------------------------------------------