TSTP Solution File: LCL194-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:18:35 EDT 2023
% Result : Unsatisfiable 96.97s 12.85s
% Output : CNFRefutation 97.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 19 unt; 0 def)
% Number of atoms : 71 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 51 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 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 : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(implies(implies(q,r),implies(or(q,p),or(p,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(implies(q,r),implies(or(q,p),or(p,r)))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f21,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(q,r),implies(or(q,p),or(p,r)))))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f18,f19]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(implies(X1,implies(X0,implies(implies(q,r),implies(or(q,p),or(p,r))))))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ theorem(X0)
| ~ theorem(X1)
| ~ theorem(implies(X2,implies(X1,implies(X0,implies(implies(q,r),implies(or(q,p),or(p,r)))))))
| ~ theorem(X2) ),
inference(resolution,[status(thm)],[f22,f18]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ theorem(X0)
| ~ theorem(X1)
| ~ theorem(X2)
| ~ axiom(implies(X2,implies(X1,implies(X0,implies(implies(q,r),implies(or(q,p),or(p,r))))))) ),
inference(resolution,[status(thm)],[f24,f16]) ).
fof(f90,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f91,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f90]) ).
fof(f149,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f150,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f149]) ).
fof(f158,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(implies(X0,X1))
| ~ theorem(implies(X1,implies(implies(q,r),implies(or(q,p),or(p,r))))) ),
inference(resolution,[status(thm)],[f91,f27]) ).
fof(f187,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(implies(X0,X1))
| ~ axiom(implies(X1,implies(implies(q,r),implies(or(q,p),or(p,r))))) ),
inference(resolution,[status(thm)],[f158,f16]) ).
fof(f295,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),or(not(X1),implies(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f150]) ).
fof(f296,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f295]) ).
fof(f365,plain,
! [X0] :
( ~ theorem(X0)
| ~ theorem(implies(X0,implies(or(q,p),implies(implies(q,r),or(p,r))))) ),
inference(resolution,[status(thm)],[f296,f187]) ).
fof(f395,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(implies(X1,implies(X0,implies(or(q,p),implies(implies(q,r),or(p,r))))))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f365,f18]) ).
fof(f643,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,implies(X0,implies(or(q,p),implies(implies(q,r),or(p,r)))))) ),
inference(resolution,[status(thm)],[f395,f16]) ).
fof(f828,plain,
! [X0] :
( ~ theorem(implies(or(q,p),X0))
| ~ theorem(implies(X0,implies(implies(q,r),or(p,r)))) ),
inference(resolution,[status(thm)],[f643,f91]) ).
fof(f838,plain,
! [X0,X1] :
( ~ theorem(implies(or(q,p),X0))
| ~ theorem(implies(X1,implies(X0,implies(implies(q,r),or(p,r)))))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f828,f18]) ).
fof(f977,plain,
! [X0,X1] :
( ~ theorem(implies(or(q,p),X0))
| ~ theorem(X1)
| ~ axiom(implies(X1,implies(X0,implies(implies(q,r),or(p,r))))) ),
inference(resolution,[status(thm)],[f838,f16]) ).
fof(f4211,plain,
! [X0] :
( ~ theorem(implies(or(q,p),X0))
| ~ theorem(implies(implies(q,r),implies(X0,or(p,r)))) ),
inference(resolution,[status(thm)],[f977,f296]) ).
fof(f4221,plain,
! [X0] :
( ~ theorem(implies(or(q,p),X0))
| ~ axiom(implies(implies(q,r),implies(X0,or(p,r)))) ),
inference(resolution,[status(thm)],[f4211,f16]) ).
fof(f4222,plain,
~ theorem(implies(or(q,p),or(p,q))),
inference(resolution,[status(thm)],[f4221,f14]) ).
fof(f4237,plain,
~ axiom(implies(or(q,p),or(p,q))),
inference(resolution,[status(thm)],[f4222,f16]) ).
fof(f4238,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4237,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL194-3 : TPTP v8.1.2. Released v2.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n007.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 09:32:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 96.97/12.85 % Refutation found
% 96.97/12.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 96.97/12.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 100.75/14.16 % Elapsed time: 13.600023 seconds
% 100.75/14.16 % CPU time: 92.677857 seconds
% 100.75/14.16 % Memory used: 628.956 MB
%------------------------------------------------------------------------------