TSTP Solution File: LCL294-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:18:57 EDT 2023
% Result : Unsatisfiable 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 30 unt; 0 def)
% Number of atoms : 69 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 25 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 80 (; 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(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,axiom,
! [P,Q] : and(P,Q) = not(or(not(P),not(Q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [P,Q] : equivalent(P,Q) = and(implies(P,Q),implies(Q,P)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ theorem(equivalent(implies(p,q),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : axiom(implies(or(X0,X0),X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [Y] :
( ! [X] :
( theorem(X)
| ~ theorem(implies(Y,X)) )
| ~ theorem(Y) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f20,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
~ theorem(equivalent(implies(p,q),or(not(p),q))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
~ theorem(equivalent(implies(p,q),implies(p,q))),
inference(backward_demodulation,[status(thm)],[f17,f23]) ).
fof(f25,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f12,f18]) ).
fof(f27,plain,
! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f25,f20]) ).
fof(f28,plain,
! [X0] : theorem(implies(implies(X0,not(X0)),not(X0))),
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f32,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f13,f18]) ).
fof(f34,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f32,f20]) ).
fof(f47,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f50,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[f47,f20]) ).
fof(f52,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f47]) ).
fof(f58,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f17,f21]) ).
fof(f71,plain,
! [X0,X1,X2] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(paramodulation,[status(thm)],[f58,f17]) ).
fof(f81,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) ),
inference(resolution,[status(thm)],[f52,f20]) ).
fof(f88,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f419,plain,
! [X0] : theorem(or(and(X0,X0),not(X0))),
inference(backward_demodulation,[status(thm)],[f71,f28]) ).
fof(f482,plain,
! [X0,X1,X2] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[status(thm)],[f88,f20]) ).
fof(f491,plain,
! [X0] : theorem(implies(X0,and(X0,X0))),
inference(resolution,[status(thm)],[f419,f81]) ).
fof(f503,plain,
! [X0] :
( theorem(and(X0,X0))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f491,f20]) ).
fof(f513,plain,
! [X0] :
( theorem(equivalent(X0,X0))
| ~ theorem(implies(X0,X0)) ),
inference(paramodulation,[status(thm)],[f22,f503]) ).
fof(f531,plain,
~ theorem(implies(implies(p,q),implies(p,q))),
inference(resolution,[status(thm)],[f513,f24]) ).
fof(f1064,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(or(X0,X2),X1)) ),
inference(resolution,[status(thm)],[f482,f50]) ).
fof(f1065,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(or(X0,X1),X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f482,f27]) ).
fof(f1177,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f1065,f34]) ).
fof(f1579,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ),
inference(resolution,[status(thm)],[f1177,f1064]) ).
fof(f1590,plain,
! [X0,X1] :
( theorem(or(not(X0),X1))
| ~ theorem(implies(X0,or(X1,X1))) ),
inference(paramodulation,[status(thm)],[f17,f1579]) ).
fof(f1591,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(X1,X1))) ),
inference(forward_demodulation,[status(thm)],[f17,f1590]) ).
fof(f1617,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f1591,f32]) ).
fof(f1623,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f531,f1617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% 0.08/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n001.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:11:00 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.30 % Drodi V3.5.1
% 0.13/0.33 % Refutation found
% 0.13/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.080060 seconds
% 0.13/0.38 % CPU time: 0.067948 seconds
% 0.13/0.38 % Memory used: 5.847 MB
%------------------------------------------------------------------------------