TSTP Solution File: LCL205-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:26:41 EDT 2024
% Result : Unsatisfiable 14.79s 2.27s
% Output : CNFRefutation 14.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 56 ( 37 unt; 0 def)
% Number of atoms : 81 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 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 : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : axiom(implies(or(A,A),A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : axiom(implies(A,or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( theorem(X)
| ~ axiom(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( theorem(X)
| ~ theorem(implies(Y,X))
| ~ theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(implies(not(implies(p,q)),implies(p,not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : axiom(implies(or(X0,X0),X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
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(implies(not(implies(p,q)),implies(p,not(q)))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f27,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f30,plain,
! [X0,X1] : theorem(implies(X0,implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f27]) ).
fof(f46,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f47,plain,
! [X0,X1] : axiom(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f15,f12]) ).
fof(f50,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f15,f46]) ).
fof(f58,plain,
! [X0,X1] : axiom(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f15,f47]) ).
fof(f62,plain,
! [X0,X1] : theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f15,f50]) ).
fof(f69,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f70,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f69]) ).
fof(f77,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f78,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f79,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f78]) ).
fof(f153,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f200,plain,
! [X0,X1] :
( theorem(X0)
| ~ axiom(implies(implies(or(X1,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f153,f20]) ).
fof(f201,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ axiom(implies(implies(X1,or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f153,f27]) ).
fof(f202,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ axiom(implies(implies(X1,implies(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f153,f30]) ).
fof(f296,plain,
! [X0,X1,X2] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f77,f18]) ).
fof(f511,plain,
! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) ),
inference(resolution,[status(thm)],[f153,f58]) ).
fof(f513,plain,
! [X0,X1,X2] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f153,f79]) ).
fof(f1008,plain,
! [X0,X1] : theorem(implies(implies(X0,or(X1,X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f200,f79]) ).
fof(f1028,plain,
! [X0,X1] : theorem(or(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f201,f70]) ).
fof(f1033,plain,
! [X0,X1,X2] : theorem(or(X0,implies(X1,or(X2,X1)))),
inference(resolution,[status(thm)],[f201,f11]) ).
fof(f1177,plain,
! [X0,X1,X2] : theorem(or(X0,implies(X1,implies(X2,X1)))),
inference(paramodulation,[status(thm)],[f15,f1033]) ).
fof(f1247,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f202,f79]) ).
fof(f1595,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(implies(X0,or(X1,X1))) ),
inference(resolution,[status(thm)],[f1008,f18]) ).
fof(f1630,plain,
! [X0,X1,X2] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f1247,f18]) ).
fof(f1714,plain,
! [X0,X1] :
( ~ theorem(implies(X0,or(X1,X1)))
| theorem(X1)
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f1595,f18]) ).
fof(f2101,plain,
~ theorem(implies(not(implies(p,q)),not(q))),
inference(resolution,[status(thm)],[f1630,f19]) ).
fof(f2243,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(or(X0,X1))
| ~ theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f1714,f296]) ).
fof(f3033,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(X1,implies(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f2243,f1177]) ).
fof(f3040,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(implies(X1,X1),X0)) ),
inference(resolution,[status(thm)],[f2243,f1028]) ).
fof(f3058,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[f3040,f62]) ).
fof(f5824,plain,
! [X0,X1,X2] :
( theorem(implies(X0,X1))
| ~ theorem(implies(implies(X2,X0),X1)) ),
inference(resolution,[status(thm)],[f3033,f513]) ).
fof(f10870,plain,
! [X0,X1] : theorem(implies(X0,not(not(implies(X1,X0))))),
inference(resolution,[status(thm)],[f5824,f3058]) ).
fof(f10958,plain,
! [X0,X1] : theorem(implies(not(implies(X0,X1)),not(X1))),
inference(resolution,[status(thm)],[f10870,f511]) ).
fof(f11318,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f2101,f10958]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL205-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 : Mon Apr 29 20:27:36 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 14.79/2.27 % Refutation found
% 14.79/2.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.79/2.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 15.68/2.33 % Elapsed time: 1.971185 seconds
% 15.68/2.33 % CPU time: 15.508779 seconds
% 15.68/2.33 % Total memory used: 260.993 MB
% 15.68/2.33 % Net memory used: 245.615 MB
%------------------------------------------------------------------------------