TSTP Solution File: SYO691-1.002 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYO691-1.002 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:49:39 EDT 2023
% Result : Unsatisfiable 25.61s 3.52s
% Output : CNFRefutation 26.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 21 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 27 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 19 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 139 (; 139 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z,Y,X] : top(f(f(f(f(Z,a),a),Y),f(X,a)),f(f(X,f(f(f(Y,a),a),a)),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X] : ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ~ top(X,Y)
| step(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z] :
( ~ step(X,Y)
| step(f(X,Z),f(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,Z,X] :
( ~ step(Y,Z)
| step(f(X,Y),f(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : seq(zero,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [N,X,Y,Z] :
( ~ seq(N,X,Y)
| ~ step(Y,Z)
| seq(succ(N),X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1,X2] : top(f(f(f(f(X0,a),a),X1),f(X2,a)),f(f(X2,f(f(f(X1,a),a),a)),X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0] : ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(succ(zero))))))))),X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ top(X0,X1)
| step(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X,Y] :
( ~ step(X,Y)
| ! [Z] : step(f(X,Z),f(Y,Z)) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ step(X0,X1)
| step(f(X0,X2),f(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [Y,Z] :
( ~ step(Y,Z)
| ! [X] : step(f(X,Y),f(X,Z)) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ step(X0,X1)
| step(f(X2,X0),f(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0] : seq(zero,X0,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [N,X,Z] :
( ! [Y] :
( ~ seq(N,X,Y)
| ~ step(Y,Z) )
| seq(succ(N),X,Z) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ seq(X0,X1,X2)
| ~ step(X2,X3)
| seq(succ(X0),X1,X3) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] : step(f(f(f(f(X0,a),a),X1),f(X2,a)),f(f(X2,f(f(f(X1,a),a),a)),X0)),
inference(resolution,[status(thm)],[f8,f10]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : step(f(X0,f(f(f(f(X1,a),a),X2),f(X3,a))),f(X0,f(f(X3,f(f(f(X2,a),a),a)),X1))),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : step(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3)),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( ~ seq(X0,X1,f(f(f(f(X2,a),a),X3),f(X4,a)))
| seq(succ(X0),X1,f(f(X4,f(f(f(X3,a),a),a)),X2)) ),
inference(resolution,[status(thm)],[f18,f17]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ seq(X0,X1,f(X2,f(f(f(f(X3,a),a),X4),f(X5,a))))
| seq(succ(X0),X1,f(X2,f(f(X5,f(f(f(X4,a),a),a)),X3))) ),
inference(resolution,[status(thm)],[f19,f17]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] : step(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4)),
inference(resolution,[status(thm)],[f20,f12]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ seq(X0,X1,f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5))
| seq(succ(X0),X1,f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5)) ),
inference(resolution,[status(thm)],[f20,f17]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5] : step(f(f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),X5),f(f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4),X5)),
inference(resolution,[status(thm)],[f35,f12]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ seq(X0,X1,f(f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5),X6))
| seq(succ(X0),X1,f(f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5),X6)) ),
inference(resolution,[status(thm)],[f35,f17]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(succ(succ(succ(succ(succ(zero)))))))),f(f(f(X0,f(f(f(X1,a),a),a)),X2),X3),f(f(f(f(f(X2,a),a),X1),f(X0,a)),X3)),
inference(resolution,[status(thm)],[f36,f9]) ).
fof(f86,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(succ(succ(succ(succ(zero))))))),f(f(f(f(f(X0,a),a),f(f(f(X1,a),a),a)),X2),X3),f(f(f(f(X3,a),a),X0),f(f(f(f(X2,a),a),X1),a))),
inference(resolution,[status(thm)],[f51,f21]) ).
fof(f101,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(succ(succ(succ(zero)))))),f(f(f(f(f(X0,a),a),f(f(f(f(f(f(X1,a),a),a),a),a),a)),X2),X3),f(f(f(f(X3,a),a),X0),f(f(f(f(a,a),a),X1),f(f(f(X2,a),a),a)))),
inference(resolution,[status(thm)],[f86,f33]) ).
fof(f164,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(succ(succ(zero))))),f(f(f(f(f(X0,a),a),f(f(f(f(f(f(f(f(f(X1,a),a),a),a),a),a),a),a),a)),X2),X3),f(f(f(f(X3,a),a),X0),f(f(f(f(f(f(f(X2,a),a),a),a),a),X1),f(f(f(a,a),a),a)))),
inference(resolution,[status(thm)],[f101,f33]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4] : seq(succ(zero),f(f(f(f(f(f(X0,a),a),X1),f(X2,a)),X3),X4),f(f(f(f(X2,f(f(f(X1,a),a),a)),X0),X3),X4)),
inference(resolution,[status(thm)],[f48,f15]) ).
fof(f290,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ seq(X0,X1,f(f(f(f(f(f(f(X2,a),a),X3),f(X4,a)),X5),X6),X7))
| seq(succ(X0),X1,f(f(f(f(f(X4,f(f(f(X3,a),a),a)),X2),X5),X6),X7)) ),
inference(resolution,[status(thm)],[f47,f17]) ).
fof(f460,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(succ(zero)))),f(f(f(f(f(X0,a),a),f(f(f(f(f(f(f(f(f(f(f(f(X1,a),a),a),a),a),a),a),a),a),a),a),a)),X2),X3),f(f(f(f(X3,a),a),X0),f(f(f(f(f(f(f(a,a),a),a),a),a),X1),f(f(f(f(f(f(X2,a),a),a),a),a),a)))),
inference(resolution,[status(thm)],[f164,f33]) ).
fof(f488,plain,
! [X0,X1,X2,X3,X4,X5] : seq(succ(succ(zero)),f(f(f(f(f(f(X0,a),a),X1),f(f(f(f(X2,a),a),X3),a)),X4),X5),f(f(f(f(f(f(f(X1,a),a),f(f(f(X3,a),a),a)),X2),X0),X4),X5)),
inference(resolution,[status(thm)],[f290,f217]) ).
fof(f2557,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(succ(zero))),f(f(f(f(f(X0,a),a),f(f(f(f(f(f(f(f(f(f(f(f(f(f(f(X1,a),a),a),a),a),a),a),a),a),a),a),a),a),a),a)),X2),X3),f(f(f(f(X3,a),a),X0),f(f(f(f(f(f(f(f(f(f(X2,a),a),a),a),a),a),a),a),X1),f(f(f(f(f(f(a,a),a),a),a),a),a)))),
inference(resolution,[status(thm)],[f460,f33]) ).
fof(f7379,plain,
! [X0,X1,X2,X3,X4,X5] : seq(succ(succ(succ(zero))),f(f(f(f(f(f(X0,a),a),X1),f(f(f(f(f(X2,a),a),a),X3),a)),X4),X5),f(f(f(f(f(X2,f(f(f(f(f(f(X3,a),a),a),a),a),a)),X1),X0),X4),X5)),
inference(resolution,[status(thm)],[f488,f290]) ).
fof(f34891,plain,
$false,
inference(resolution,[status(thm)],[f7379,f2557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYO691-1.002 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 10:11:16 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.5.1
% 25.61/3.52 % Refutation found
% 25.61/3.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 25.61/3.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.26/3.64 % Elapsed time: 3.356100 seconds
% 26.26/3.64 % CPU time: 26.292968 seconds
% 26.26/3.64 % Memory used: 884.805 MB
%------------------------------------------------------------------------------