TSTP Solution File: SYO038-1.003.003 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:48:37 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 45 unt; 0 def)
% Number of atoms : 49 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 (; 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [N] : f(N,one) = s(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : f(one,s(X)) = s(s(f(one,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [N,X] : f(s(N),s(X)) = f(N,f(s(N),X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
d(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( ~ d(X)
| d(s(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ d(f(s(s(one)),s(s(one)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : f(X0,one) = s(one),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0] : f(one,s(X0)) = s(s(f(one,X0))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : f(s(X0),s(X1)) = f(X0,f(s(X0),X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
d(one),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0] :
( ~ d(X0)
| d(s(X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
~ d(f(s(s(one)),s(s(one)))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
d(s(one)),
inference(resolution,[status(thm)],[f11,f10]) ).
fof(f14,plain,
d(s(s(one))),
inference(resolution,[status(thm)],[f13,f11]) ).
fof(f15,plain,
d(s(s(s(one)))),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f16,plain,
d(s(s(s(s(one))))),
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f17,plain,
d(s(s(s(s(s(one)))))),
inference(resolution,[status(thm)],[f16,f11]) ).
fof(f18,plain,
d(s(s(s(s(s(s(one))))))),
inference(resolution,[status(thm)],[f17,f11]) ).
fof(f19,plain,
f(one,s(one)) = s(s(s(one))),
inference(paramodulation,[status(thm)],[f7,f8]) ).
fof(f21,plain,
d(s(s(s(f(one,s(one)))))),
inference(backward_demodulation,[status(thm)],[f19,f18]) ).
fof(f22,plain,
d(s(f(one,s(s(one))))),
inference(forward_demodulation,[status(thm)],[f8,f21]) ).
fof(f32,plain,
! [X0] : f(s(X0),s(one)) = f(X0,s(one)),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f59,plain,
d(s(s(f(one,s(s(one)))))),
inference(resolution,[status(thm)],[f22,f11]) ).
fof(f60,plain,
d(f(one,s(s(s(one))))),
inference(forward_demodulation,[status(thm)],[f8,f59]) ).
fof(f61,plain,
d(f(one,f(one,s(one)))),
inference(forward_demodulation,[status(thm)],[f19,f60]) ).
fof(f62,plain,
d(s(f(one,f(one,s(one))))),
inference(resolution,[status(thm)],[f61,f11]) ).
fof(f70,plain,
! [X0] : f(s(X0),s(s(one))) = f(X0,f(X0,s(one))),
inference(paramodulation,[status(thm)],[f32,f9]) ).
fof(f71,plain,
d(s(s(f(one,f(one,s(one)))))),
inference(resolution,[status(thm)],[f62,f11]) ).
fof(f72,plain,
d(f(one,s(f(one,s(one))))),
inference(forward_demodulation,[status(thm)],[f8,f71]) ).
fof(f73,plain,
d(s(f(one,s(f(one,s(one)))))),
inference(resolution,[status(thm)],[f72,f11]) ).
fof(f78,plain,
d(s(s(f(one,s(f(one,s(one))))))),
inference(resolution,[status(thm)],[f73,f11]) ).
fof(f79,plain,
d(f(one,s(s(f(one,s(one)))))),
inference(forward_demodulation,[status(thm)],[f8,f78]) ).
fof(f80,plain,
d(f(one,f(one,s(s(one))))),
inference(forward_demodulation,[status(thm)],[f8,f79]) ).
fof(f81,plain,
d(s(f(one,f(one,s(s(one)))))),
inference(resolution,[status(thm)],[f80,f11]) ).
fof(f82,plain,
d(s(s(f(one,f(one,s(s(one))))))),
inference(resolution,[status(thm)],[f81,f11]) ).
fof(f83,plain,
d(f(one,s(f(one,s(s(one)))))),
inference(forward_demodulation,[status(thm)],[f8,f82]) ).
fof(f84,plain,
d(s(f(one,s(f(one,s(s(one))))))),
inference(resolution,[status(thm)],[f83,f11]) ).
fof(f85,plain,
d(s(s(f(one,s(f(one,s(s(one)))))))),
inference(resolution,[status(thm)],[f84,f11]) ).
fof(f86,plain,
d(f(one,s(s(f(one,s(s(one))))))),
inference(forward_demodulation,[status(thm)],[f8,f85]) ).
fof(f87,plain,
d(f(one,f(one,s(s(s(one)))))),
inference(forward_demodulation,[status(thm)],[f8,f86]) ).
fof(f88,plain,
d(f(one,f(one,f(one,s(one))))),
inference(forward_demodulation,[status(thm)],[f19,f87]) ).
fof(f130,plain,
! [X0] : f(s(s(X0)),s(s(one))) = f(s(X0),f(X0,s(one))),
inference(paramodulation,[status(thm)],[f32,f70]) ).
fof(f133,plain,
! [X0] : f(s(X0),s(s(s(one)))) = f(X0,f(X0,f(X0,s(one)))),
inference(paramodulation,[status(thm)],[f70,f9]) ).
fof(f134,plain,
! [X0] : f(s(X0),f(one,s(one))) = f(X0,f(X0,f(X0,s(one)))),
inference(forward_demodulation,[status(thm)],[f19,f133]) ).
fof(f350,plain,
~ d(f(s(one),f(one,s(one)))),
inference(paramodulation,[status(thm)],[f130,f12]) ).
fof(f364,plain,
d(f(s(one),f(one,s(one)))),
inference(backward_demodulation,[status(thm)],[f134,f88]) ).
fof(f365,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f364,f350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO038-1.003.003 : TPTP v8.1.2. Released v5.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 10:09:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38 % Elapsed time: 0.028958 seconds
% 0.19/0.38 % CPU time: 0.074858 seconds
% 0.19/0.38 % Memory used: 12.334 MB
%------------------------------------------------------------------------------