TSTP Solution File: LCL272-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:18:54 EDT 2023
% Result : Unsatisfiable 26.71s 3.79s
% Output : CNFRefutation 27.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 76 ( 48 unt; 0 def)
% Number of atoms : 110 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 149 (; 149 !; 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(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,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(p,or(p,p))),
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(f16,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(esa)],[f5]) ).
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(p,or(p,p))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f12,f18]) ).
fof(f26,plain,
! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f24,f20]) ).
fof(f30,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f13,f18]) ).
fof(f44,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f14,f18]) ).
fof(f45,plain,
! [X0,X1] : axiom(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f48,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[f44,f20]) ).
fof(f49,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(paramodulation,[status(thm)],[f17,f44]) ).
fof(f50,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f17,f44]) ).
fof(f52,plain,
! [X0,X1] :
( theorem(or(X0,not(X1)))
| ~ theorem(implies(X1,X0)) ),
inference(paramodulation,[status(thm)],[f17,f48]) ).
fof(f57,plain,
! [X0,X1] : and(X0,X1) = not(implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f17,f21]) ).
fof(f70,plain,
! [X0,X1,X2] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(paramodulation,[status(thm)],[f57,f17]) ).
fof(f83,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(or(and(X1,X2),X0))
| ~ theorem(implies(X1,not(X2))) ),
inference(paramodulation,[status(thm)],[f70,f20]) ).
fof(f100,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f15,f18]) ).
fof(f109,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f16,f18]) ).
fof(f117,plain,
! [X0,X1] : axiom(or(and(X0,X1),or(not(X1),not(X0)))),
inference(paramodulation,[status(thm)],[f70,f45]) ).
fof(f118,plain,
! [X0,X1] : axiom(or(and(X0,X1),implies(X1,not(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f117]) ).
fof(f126,plain,
! [X0,X1] : theorem(or(and(X0,X1),or(not(X1),not(X0)))),
inference(paramodulation,[status(thm)],[f70,f49]) ).
fof(f127,plain,
! [X0,X1] : theorem(or(and(X0,X1),implies(X1,not(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f126]) ).
fof(f134,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) ),
inference(resolution,[status(thm)],[f50,f20]) ).
fof(f143,plain,
! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f17,f52]) ).
fof(f190,plain,
! [X0,X1,X2] : theorem(implies(or(not(X0),or(X1,X2)),or(X1,implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f17,f100]) ).
fof(f191,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f17,f190]) ).
fof(f193,plain,
! [X0,X1,X2] : theorem(or(and(X0,X1),implies(or(X2,X0),or(X2,not(X1))))),
inference(paramodulation,[status(thm)],[f70,f109]) ).
fof(f199,plain,
! [X0,X1] : theorem(or(implies(X0,not(X1)),and(X1,X0))),
inference(resolution,[status(thm)],[f127,f48]) ).
fof(f205,plain,
! [X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f134,f20]) ).
fof(f245,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ axiom(X1) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f273,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(implies(or(X1,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f24,f20]) ).
fof(f298,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(X1,or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f30,f20]) ).
fof(f393,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(or(X1,X2),or(X2,X1)),X0)) ),
inference(resolution,[status(thm)],[f44,f20]) ).
fof(f1272,plain,
! [X0,X1] : theorem(or(and(X0,X1),implies(X1,not(X0)))),
inference(resolution,[status(thm)],[f199,f48]) ).
fof(f1349,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(or(and(X1,X2),implies(X2,not(X1))),X0)) ),
inference(resolution,[status(thm)],[f118,f245]) ).
fof(f3368,plain,
! [X0,X1] : theorem(or(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f298,f191]) ).
fof(f3382,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f3368,f26]) ).
fof(f4417,plain,
! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1))),
inference(resolution,[status(thm)],[f393,f191]) ).
fof(f4865,plain,
! [X0,X1] : theorem(implies(X0,implies(or(X1,not(X0)),X1))),
inference(paramodulation,[status(thm)],[f17,f4417]) ).
fof(f4882,plain,
! [X0,X1] :
( theorem(implies(or(X0,not(X1)),X0))
| ~ axiom(X1) ),
inference(resolution,[status(thm)],[f4865,f245]) ).
fof(f6872,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(or(and(not(X1),X1),X0)) ),
inference(resolution,[status(thm)],[f83,f3382]) ).
fof(f6895,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[f6872,f1272]) ).
fof(f6983,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(or(and(X1,not(X1)),X0)) ),
inference(resolution,[status(thm)],[f6895,f83]) ).
fof(f7561,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X0,not(not(X1))))),
inference(resolution,[status(thm)],[f6983,f193]) ).
fof(f11725,plain,
! [X0,X1] :
( theorem(implies(X0,not(or(not(X0),not(X1)))))
| ~ axiom(X1) ),
inference(resolution,[status(thm)],[f143,f4882]) ).
fof(f11726,plain,
! [X0,X1] :
( theorem(implies(X0,not(implies(X0,not(X1)))))
| ~ axiom(X1) ),
inference(forward_demodulation,[status(thm)],[f17,f11725]) ).
fof(f11727,plain,
! [X0,X1] :
( theorem(implies(X0,and(X0,X1)))
| ~ axiom(X1) ),
inference(forward_demodulation,[status(thm)],[f57,f11726]) ).
fof(f11782,plain,
! [X0,X1] :
( ~ axiom(X0)
| theorem(and(implies(or(X1,X1),X1),X0)) ),
inference(resolution,[status(thm)],[f11727,f273]) ).
fof(f12108,plain,
! [X0] :
( ~ axiom(implies(X0,or(X0,X0)))
| theorem(equivalent(or(X0,X0),X0)) ),
inference(paramodulation,[status(thm)],[f22,f11782]) ).
fof(f12109,plain,
! [X0] : theorem(equivalent(or(X0,X0),X0)),
inference(forward_subsumption_resolution,[status(thm)],[f12108,f13]) ).
fof(f19208,plain,
! [X0,X1] : theorem(or(and(X0,X1),not(not(implies(X1,not(X0)))))),
inference(resolution,[status(thm)],[f1349,f7561]) ).
fof(f19209,plain,
! [X0,X1] : theorem(or(and(X0,X1),not(and(X1,X0)))),
inference(forward_demodulation,[status(thm)],[f57,f19208]) ).
fof(f19646,plain,
! [X0,X1] :
( theorem(and(X0,X1))
| ~ theorem(and(X1,X0)) ),
inference(resolution,[status(thm)],[f19209,f205]) ).
fof(f19768,plain,
! [X0,X1] :
( theorem(and(implies(X0,X1),implies(X1,X0)))
| ~ theorem(equivalent(X1,X0)) ),
inference(paramodulation,[status(thm)],[f22,f19646]) ).
fof(f19769,plain,
! [X0,X1] :
( theorem(equivalent(X0,X1))
| ~ theorem(equivalent(X1,X0)) ),
inference(forward_demodulation,[status(thm)],[f22,f19768]) ).
fof(f19772,plain,
! [X0] : theorem(equivalent(X0,or(X0,X0))),
inference(resolution,[status(thm)],[f19769,f12109]) ).
fof(f19775,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f23,f19772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL272-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.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 09:54:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 26.71/3.79 % Refutation found
% 26.71/3.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.71/3.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.94/3.91 % Elapsed time: 3.549447 seconds
% 27.94/3.91 % CPU time: 27.837321 seconds
% 27.94/3.91 % Memory used: 522.379 MB
%------------------------------------------------------------------------------