TSTP Solution File: LCL186-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:18:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 41 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 24 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 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(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(implies(not(p),implies(p,q))),
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(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(implies(not(p),implies(p,q))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(implies(X0,implies(not(p),implies(p,q))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f18,f19]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(implies(X1,implies(X0,implies(not(p),implies(p,q)))))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f25,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,implies(X0,implies(not(p),implies(p,q))))) ),
inference(resolution,[status(thm)],[f22,f16]) ).
fof(f86,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f87,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f86]) ).
fof(f132,plain,
! [X0,X1] : axiom(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f155,plain,
! [X0] :
( ~ theorem(implies(not(p),X0))
| ~ theorem(implies(X0,implies(p,q))) ),
inference(resolution,[status(thm)],[f25,f87]) ).
fof(f227,plain,
! [X0] :
( ~ theorem(implies(not(p),X0))
| ~ axiom(implies(X0,implies(p,q))) ),
inference(resolution,[status(thm)],[f155,f16]) ).
fof(f277,plain,
~ theorem(implies(not(p),or(q,not(p)))),
inference(resolution,[status(thm)],[f227,f132]) ).
fof(f283,plain,
~ axiom(implies(not(p),or(q,not(p)))),
inference(resolution,[status(thm)],[f277,f16]) ).
fof(f284,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f283,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:53:52 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.50 % Elapsed time: 0.157593 seconds
% 0.20/0.50 % CPU time: 1.137738 seconds
% 0.20/0.50 % Memory used: 54.128 MB
%------------------------------------------------------------------------------