TSTP Solution File: LCL203-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL203-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:18:38 EDT 2023
% Result : Unsatisfiable 24.02s 3.43s
% Output : CNFRefutation 24.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 9
% Syntax : Number of formulae : 70 ( 48 unt; 0 def)
% Number of atoms : 95 ( 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 : 150 (; 150 !; 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(or(p,q)),or(not(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(or(p,q)),or(not(p),not(q)))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
~ theorem(implies(not(or(p,q)),implies(p,not(q)))),
inference(backward_demodulation,[status(thm)],[f15,f19]) ).
fof(f21,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(resolution,[status(thm)],[f10,f16]) ).
fof(f23,plain,
! [X0] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(resolution,[status(thm)],[f21,f18]) ).
fof(f28,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(resolution,[status(thm)],[f11,f16]) ).
fof(f30,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[status(thm)],[f28,f18]) ).
fof(f42,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f91,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f100,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f110,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(or(X1,X0)) ),
inference(resolution,[status(thm)],[f42,f18]) ).
fof(f114,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f42]) ).
fof(f152,plain,
! [X0,X1] :
( theorem(or(X0,not(X1)))
| ~ theorem(implies(X1,X0)) ),
inference(paramodulation,[status(thm)],[f15,f110]) ).
fof(f166,plain,
! [X0,X1,X2] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X1,or(X0,X2))) ),
inference(resolution,[status(thm)],[f91,f18]) ).
fof(f194,plain,
! [X0,X1] :
( theorem(implies(X0,X1))
| ~ theorem(or(X1,not(X0))) ),
inference(resolution,[status(thm)],[f114,f18]) ).
fof(f205,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(resolution,[status(thm)],[f152,f28]) ).
fof(f220,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,X2),not(X2)))),
inference(resolution,[status(thm)],[f205,f30]) ).
fof(f233,plain,
! [X0,X1,X2] :
( theorem(implies(or(X0,X1),or(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f100,f18]) ).
fof(f236,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f15,f100]) ).
fof(f237,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f236]) ).
fof(f268,plain,
! [X0,X1] :
( theorem(implies(X0,not(X1)))
| ~ theorem(implies(X1,not(X0))) ),
inference(paramodulation,[status(thm)],[f15,f194]) ).
fof(f445,plain,
! [X0,X1,X2] : theorem(or(or(X0,X1),or(X2,not(X1)))),
inference(resolution,[status(thm)],[f166,f220]) ).
fof(f450,plain,
! [X0,X1,X2] :
( theorem(or(X0,or(not(X1),X2)))
| ~ theorem(implies(X1,or(X0,X2))) ),
inference(paramodulation,[status(thm)],[f15,f166]) ).
fof(f451,plain,
! [X0,X1,X2] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(implies(X1,or(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f450]) ).
fof(f452,plain,
! [X0,X1,X2] :
( theorem(or(not(X0),or(X1,X2)))
| ~ theorem(or(X1,implies(X0,X2))) ),
inference(paramodulation,[status(thm)],[f15,f166]) ).
fof(f453,plain,
! [X0,X1,X2] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(or(X1,implies(X0,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f452]) ).
fof(f470,plain,
! [X0,X1,X2] : theorem(or(or(X0,not(X1)),or(X2,X1))),
inference(resolution,[status(thm)],[f445,f110]) ).
fof(f494,plain,
! [X0,X1,X2] : theorem(or(X0,or(or(X1,not(X2)),X2))),
inference(resolution,[status(thm)],[f470,f166]) ).
fof(f527,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(resolution,[status(thm)],[f494,f23]) ).
fof(f535,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(resolution,[status(thm)],[f527,f110]) ).
fof(f540,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X1)))),
inference(resolution,[status(thm)],[f535,f166]) ).
fof(f564,plain,
! [X0] : theorem(or(X0,not(X0))),
inference(resolution,[status(thm)],[f540,f23]) ).
fof(f570,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f564,f194]) ).
fof(f576,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(paramodulation,[status(thm)],[f15,f564]) ).
fof(f794,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,not(X2))),or(X0,implies(X2,X1)))),
inference(resolution,[status(thm)],[f233,f114]) ).
fof(f873,plain,
! [X0,X1,X2] :
( theorem(implies(implies(X0,X1),implies(X0,X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f237,f18]) ).
fof(f2103,plain,
! [X0,X1] : theorem(or(X0,implies(or(X0,X1),X1))),
inference(resolution,[status(thm)],[f451,f570]) ).
fof(f2122,plain,
! [X0,X1] : theorem(implies(X0,implies(or(not(X0),X1),X1))),
inference(paramodulation,[status(thm)],[f15,f2103]) ).
fof(f2123,plain,
! [X0,X1] : theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(forward_demodulation,[status(thm)],[f15,f2122]) ).
fof(f2149,plain,
! [X0,X1] :
( theorem(implies(implies(X0,X1),X1))
| ~ theorem(X0) ),
inference(resolution,[status(thm)],[f2123,f18]) ).
fof(f3522,plain,
! [X0,X1,X2] :
( theorem(or(X0,implies(X1,X2)))
| ~ theorem(or(X0,or(X2,not(X1)))) ),
inference(resolution,[status(thm)],[f794,f18]) ).
fof(f4153,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),implies(X0,not(not(X1))))),
inference(resolution,[status(thm)],[f873,f576]) ).
fof(f38776,plain,
! [X0,X1] : theorem(or(X0,implies(X0,X1))),
inference(resolution,[status(thm)],[f3522,f535]) ).
fof(f38854,plain,
! [X0,X1] : theorem(implies(X0,or(X0,X1))),
inference(resolution,[status(thm)],[f38776,f453]) ).
fof(f38919,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(X0,or(X1,X2)))),
inference(resolution,[status(thm)],[f38854,f873]) ).
fof(f38954,plain,
! [X0,X1,X2] : theorem(implies(implies(implies(X0,or(X0,X1)),X2),X2)),
inference(resolution,[status(thm)],[f38854,f2149]) ).
fof(f54515,plain,
! [X0,X1,X2] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f38919,f18]) ).
fof(f55106,plain,
! [X0,X1,X2] :
( theorem(X0)
| ~ theorem(implies(implies(X1,or(X1,X2)),X0)) ),
inference(resolution,[status(thm)],[f38954,f18]) ).
fof(f74162,plain,
! [X0,X1] : theorem(implies(X0,not(not(or(X0,X1))))),
inference(resolution,[status(thm)],[f55106,f4153]) ).
fof(f74397,plain,
! [X0,X1] : theorem(implies(not(or(X0,X1)),not(X0))),
inference(resolution,[status(thm)],[f74162,f268]) ).
fof(f74454,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),or(not(X0),X2))),
inference(resolution,[status(thm)],[f74397,f54515]) ).
fof(f74455,plain,
! [X0,X1,X2] : theorem(implies(not(or(X0,X1)),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f15,f74454]) ).
fof(f75659,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f74455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL203-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 09:43:12 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 24.02/3.43 % Refutation found
% 24.02/3.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 24.02/3.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 25.12/3.51 % Elapsed time: 3.142030 seconds
% 25.12/3.51 % CPU time: 24.708715 seconds
% 25.12/3.51 % Memory used: 333.386 MB
%------------------------------------------------------------------------------