TSTP Solution File: SYN986+1.003 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:48:33 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 29 ~; 22 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 56 (; 48 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Y] : r(Y,zero,succ(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Y,X,Z,Z1] :
( r(Y,X,Z)
=> ( r(Z,X,Z1)
=> r(Y,succ(X),Z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
? [Z3,Z2,Z1,Z0] :
( r(zero,zero,Z3)
& r(zero,Z3,Z2)
& r(zero,Z2,Z1)
& r(zero,Z1,Z0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ? [Z3,Z2,Z1,Z0] :
( r(zero,zero,Z3)
& r(zero,Z3,Z2)
& r(zero,Z2,Z1)
& r(zero,Z1,Z0) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r(X0,zero,succ(X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [Y,X,Z,Z1] :
( ~ r(Y,X,Z)
| ~ r(Z,X,Z1)
| r(Y,succ(X),Z1) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [Y,X,Z] :
( ~ r(Y,X,Z)
| ! [Z1] :
( ~ r(Z,X,Z1)
| r(Y,succ(X),Z1) ) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ~ r(X0,X1,X2)
| ~ r(X2,X1,X3)
| r(X0,succ(X1),X3) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
! [Z3,Z2,Z1,Z0] :
( ~ r(zero,zero,Z3)
| ~ r(zero,Z3,Z2)
| ~ r(zero,Z2,Z1)
| ~ r(zero,Z1,Z0) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
! [Z1] :
( ! [Z2] :
( ! [Z3] :
( ~ r(zero,zero,Z3)
| ~ r(zero,Z3,Z2) )
| ~ r(zero,Z2,Z1) )
| ! [Z0] : ~ r(zero,Z1,Z0) ),
inference(miniscoping,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ r(zero,zero,X0)
| ~ r(zero,X0,X1)
| ~ r(zero,X1,X2)
| ~ r(zero,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ r(zero,succ(zero),X0)
| ~ r(zero,X0,X1)
| ~ r(zero,X1,X2) ),
inference(resolution,[status(thm)],[f5,f11]) ).
fof(f13,plain,
! [X0,X1] :
( ~ r(X0,zero,X1)
| r(X0,succ(zero),succ(X1)) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f14,plain,
! [X0] : r(X0,succ(zero),succ(succ(X0))),
inference(resolution,[status(thm)],[f13,f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ r(zero,succ(succ(zero)),X0)
| ~ r(zero,X0,X1) ),
inference(resolution,[status(thm)],[f14,f12]) ).
fof(f16,plain,
! [X0,X1] :
( ~ r(X0,succ(zero),X1)
| r(X0,succ(succ(zero)),succ(succ(X1))) ),
inference(resolution,[status(thm)],[f14,f8]) ).
fof(f17,plain,
! [X0] : r(X0,succ(succ(zero)),succ(succ(succ(succ(X0))))),
inference(resolution,[status(thm)],[f16,f14]) ).
fof(f18,plain,
! [X0] : ~ r(zero,succ(succ(succ(succ(zero)))),X0),
inference(resolution,[status(thm)],[f17,f15]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r(X0,succ(succ(zero)),X1)
| r(X0,succ(succ(succ(zero))),succ(succ(succ(succ(X1))))) ),
inference(resolution,[status(thm)],[f17,f8]) ).
fof(f20,plain,
! [X0] : r(X0,succ(succ(succ(zero))),succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))),
inference(resolution,[status(thm)],[f19,f17]) ).
fof(f21,plain,
! [X0,X1] :
( ~ r(X0,succ(succ(succ(zero))),X1)
| r(X0,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(X1))))))))) ),
inference(resolution,[status(thm)],[f20,f8]) ).
fof(f22,plain,
! [X0] : r(X0,succ(succ(succ(succ(zero)))),succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(succ(X0))))))))))))))))),
inference(resolution,[status(thm)],[f21,f20]) ).
fof(f23,plain,
$false,
inference(resolution,[status(thm)],[f22,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN986+1.003 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n004.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 10:19:22 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36 % Elapsed time: 0.017675 seconds
% 0.19/0.36 % CPU time: 0.025817 seconds
% 0.19/0.36 % Memory used: 7.032 MB
%------------------------------------------------------------------------------