TSTP Solution File: FLD013-2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:16:20 EDT 2024
% Result : Unsatisfiable 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 40 ( 17 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 91 ( 52 ~; 39 |; 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; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( equalish(add(X,Y),add(Y,X))
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Z,Y] :
( equalish(add(X,Z),add(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ equalish(add(d,b),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,plain,
! [Y] :
( ! [X] :
( equalish(add(X,Y),add(Y,X))
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f42,plain,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f69,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f70,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f71,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
! [X,Y] :
( ! [Z] :
( equalish(add(X,Z),add(Y,Z))
| ~ defined(Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f73,plain,
! [X0,X1,X2] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f80,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f81,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f84,plain,
equalish(a,b),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f85,plain,
equalish(c,d),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f86,plain,
equalish(add(a,c),u),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f87,plain,
~ equalish(add(d,b),u),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f88,plain,
~ equalish(u,add(d,b)),
inference(resolution,[status(thm)],[f69,f87]) ).
fof(f90,plain,
! [X0] :
( ~ equalish(u,X0)
| ~ equalish(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f71,f88]) ).
fof(f93,plain,
! [X0] :
( ~ equalish(X0,add(d,b))
| ~ equalish(X0,u) ),
inference(resolution,[status(thm)],[f90,f69]) ).
fof(f131,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| ~ equalish(X0,X1)
| ~ equalish(X1,add(d,b)) ),
inference(resolution,[status(thm)],[f93,f71]) ).
fof(f149,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| ~ equalish(X0,X1)
| ~ equalish(add(d,b),X1) ),
inference(resolution,[status(thm)],[f131,f69]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ equalish(X0,u)
| ~ equalish(X0,X1)
| ~ equalish(add(d,b),X2)
| ~ equalish(X2,X1) ),
inference(resolution,[status(thm)],[f149,f71]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ~ equalish(X0,u)
| ~ equalish(X0,X1)
| ~ equalish(X2,X1)
| ~ equalish(X2,add(d,b)) ),
inference(resolution,[status(thm)],[f155,f69]) ).
fof(f345,plain,
! [X0] :
( equalish(add(X0,b),add(b,X0))
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f42,f80]) ).
fof(f402,plain,
equalish(add(c,b),add(b,c)),
inference(resolution,[status(thm)],[f345,f81]) ).
fof(f426,plain,
! [X0,X1] :
( equalish(add(X0,c),add(X1,c))
| ~ equalish(X0,X1) ),
inference(resolution,[status(thm)],[f73,f81]) ).
fof(f427,plain,
! [X0,X1] :
( equalish(add(X0,b),add(X1,b))
| ~ equalish(X0,X1) ),
inference(resolution,[status(thm)],[f73,f80]) ).
fof(f457,plain,
equalish(add(c,b),add(d,b)),
inference(resolution,[status(thm)],[f427,f85]) ).
fof(f473,plain,
! [X0,X1] :
( ~ equalish(X0,u)
| ~ equalish(X0,X1)
| ~ equalish(add(c,b),X1) ),
inference(resolution,[status(thm)],[f457,f188]) ).
fof(f841,plain,
! [X0] :
( ~ equalish(X0,u)
| ~ equalish(X0,add(b,c)) ),
inference(resolution,[status(thm)],[f473,f402]) ).
fof(f867,plain,
! [X0] :
( ~ equalish(add(X0,c),u)
| ~ equalish(X0,b) ),
inference(resolution,[status(thm)],[f841,f426]) ).
fof(f882,plain,
~ equalish(a,b),
inference(resolution,[status(thm)],[f867,f86]) ).
fof(f883,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f882,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:23:18 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.34 % Drodi V3.6.0
% 0.19/0.55 % Refutation found
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.70/0.57 % Elapsed time: 0.225063 seconds
% 1.70/0.57 % CPU time: 1.707336 seconds
% 1.70/0.57 % Total memory used: 27.205 MB
% 1.70/0.57 % Net memory used: 26.187 MB
%------------------------------------------------------------------------------