TSTP Solution File: BOO075-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:02:56 EDT 2023
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : nand(nand(A,nand(nand(B,A),A)),nand(B,nand(C,A))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
nand(nand(a,a),nand(b,a)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,X0))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
nand(nand(a,a),nand(b,a)) != a,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : nand(nand(nand(X0,nand(X1,X2)),nand(X0,nand(X0,nand(X1,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X3,nand(X0,nand(X1,X2))))) = nand(X2,nand(nand(X0,X2),X2)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2] : nand(nand(nand(X0,X1),nand(nand(nand(X1,nand(nand(X2,X1),X1)),nand(X0,X1)),nand(X0,X1))),X2) = nand(X1,nand(nand(X2,X1),X1)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : nand(nand(nand(X0,nand(X1,X2)),nand(nand(X3,nand(X0,nand(X1,X2))),nand(X0,nand(X1,X2)))),nand(X3,X0)) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : nand(nand(X0,nand(nand(X1,nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2)))),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2))))),nand(X1,nand(X2,nand(nand(X0,X2),X2)))) = X1,
inference(paramodulation,[status(thm)],[f3,f7]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : nand(nand(X0,nand(nand(X1,X0),nand(nand(X2,nand(nand(X0,X2),X2)),nand(X0,nand(X3,X2))))),nand(X1,nand(X2,nand(nand(X0,X2),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3,f11]) ).
fof(f13,plain,
! [X0,X1,X2] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,nand(X2,nand(nand(X0,X2),X2)))) = X1,
inference(forward_demodulation,[status(thm)],[f3,f12]) ).
fof(f170,plain,
! [X0] : nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),X0) = nand(X0,nand(nand(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f13,f5]) ).
fof(f171,plain,
! [X0] : nand(X0,X0) = nand(X0,nand(nand(X0,X0),X0)),
inference(forward_demodulation,[status(thm)],[f13,f170]) ).
fof(f245,plain,
! [X0,X1] : nand(nand(X0,X0),nand(X0,nand(X1,X0))) = X0,
inference(paramodulation,[status(thm)],[f171,f3]) ).
fof(f247,plain,
! [X0,X1] : nand(nand(nand(X0,nand(nand(X0,X0),X0)),nand(X0,nand(X0,nand(nand(X0,X0),X0)))),nand(nand(X0,nand(nand(X0,X0),X0)),nand(X1,nand(X0,X0)))) = nand(X0,nand(nand(X0,X0),X0)),
inference(paramodulation,[status(thm)],[f171,f5]) ).
fof(f248,plain,
! [X0,X1] : nand(X0,nand(nand(X0,nand(nand(X0,X0),X0)),nand(X1,nand(X0,X0)))) = nand(X0,nand(nand(X0,X0),X0)),
inference(forward_demodulation,[status(thm)],[f13,f247]) ).
fof(f249,plain,
! [X0,X1] : nand(X0,nand(nand(X0,X0),nand(X1,nand(X0,X0)))) = nand(X0,nand(nand(X0,X0),X0)),
inference(forward_demodulation,[status(thm)],[f171,f248]) ).
fof(f250,plain,
! [X0,X1] : nand(X0,nand(nand(X0,X0),nand(X1,nand(X0,X0)))) = nand(X0,X0),
inference(forward_demodulation,[status(thm)],[f171,f249]) ).
fof(f491,plain,
! [X0,X1] : nand(nand(X0,nand(nand(nand(X1,X1),X0),X0)),X1) = nand(X1,X1),
inference(paramodulation,[status(thm)],[f245,f13]) ).
fof(f664,plain,
! [X0,X1] : nand(nand(X0,nand(nand(X1,X0),X0)),nand(X1,X1)) = X1,
inference(paramodulation,[status(thm)],[f250,f13]) ).
fof(f1126,plain,
! [X0,X1] : nand(nand(nand(X0,X1),nand(nand(nand(X0,X1),nand(X0,X1)),nand(X0,X1))),nand(nand(X0,X1),nand(X0,X1))) = nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)),
inference(paramodulation,[status(thm)],[f491,f6]) ).
fof(f1127,plain,
! [X0,X1] : nand(X0,X1) = nand(X1,nand(nand(nand(nand(X0,X1),nand(X0,X1)),X1),X1)),
inference(forward_demodulation,[status(thm)],[f664,f1126]) ).
fof(f1331,plain,
! [X0,X1] : nand(nand(X0,X0),nand(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f1127,f245]) ).
fof(f1401,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f1331,f4]) ).
fof(f1402,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : BOO075-1 : TPTP v8.1.2. Released v2.6.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:42:43 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.44 % Refutation found
% 0.19/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.46 % Elapsed time: 0.111088 seconds
% 0.19/0.46 % CPU time: 0.414844 seconds
% 0.19/0.46 % Memory used: 11.695 MB
%------------------------------------------------------------------------------