TSTP Solution File: LCL323-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:26:58 EDT 2024
% Result : Unsatisfiable 2.56s 0.69s
% Output : CNFRefutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 22 unt; 0 def)
% Number of atoms : 53 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(or(implies(p,q),implies(q,r))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
! [Y] :
( ! [X] :
( theorem(X)
| ~ theorem(implies(Y,X)) )
| ~ theorem(Y) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
~ theorem(or(implies(p,q),implies(q,r))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f28,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f26,f18]) ).
fof(f42,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f43,plain,
! [X0,X1] : axiom(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f47,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f42]) ).
fof(f86,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f111,plain,
! [X0,X1,X2] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f86,f18]) ).
fof(f136,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f247,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ axiom(implies(implies(X1,or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f26,f136]) ).
fof(f483,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[status(thm)],[f111,f18]) ).
fof(f740,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(resolution,[status(thm)],[f247,f43]) ).
fof(f797,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))),
inference(resolution,[status(thm)],[f740,f28]) ).
fof(f1212,plain,
! [X0] :
( ~ theorem(implies(X0,implies(q,r)))
| ~ theorem(or(implies(p,q),X0)) ),
inference(resolution,[status(thm)],[f483,f19]) ).
fof(f1436,plain,
! [X0,X1,X2,X3] :
( theorem(X0)
| ~ axiom(implies(or(X1,or(or(X2,X3),not(X3))),X0)) ),
inference(resolution,[status(thm)],[f797,f136]) ).
fof(f1445,plain,
! [X0,X1,X2,X3] :
( theorem(X0)
| ~ axiom(implies(or(X1,or(implies(X2,X3),not(X3))),X0)) ),
inference(paramodulation,[status(thm)],[f15,f1436]) ).
fof(f1453,plain,
! [X0,X1,X2] : theorem(or(implies(X0,X1),or(X2,not(X1)))),
inference(resolution,[status(thm)],[f1445,f13]) ).
fof(f1507,plain,
~ theorem(or(implies(p,q),or(r,not(q)))),
inference(resolution,[status(thm)],[f1212,f47]) ).
fof(f1508,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1507,f1453]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : LCL323-3 : TPTP v8.1.2. Released v2.3.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 20:32:55 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.16/0.33 % Drodi V3.6.0
% 2.56/0.69 % Refutation found
% 2.56/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.56/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.92/0.72 % Elapsed time: 0.388785 seconds
% 2.92/0.72 % CPU time: 2.954340 seconds
% 2.92/0.72 % Total memory used: 90.258 MB
% 2.92/0.72 % Net memory used: 83.916 MB
%------------------------------------------------------------------------------