TSTP Solution File: SYO691-1.000 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 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 : Tue Apr 30 20:54:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 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 : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z,Y,X] : top(f(f(Z,Y),f(X,a)),f(f(X,f(Y,a)),Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X] : ~ seq(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(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0] : ~ seq(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(X0,X1),f(X2,a)),f(f(X2,f(X1,a)),X0)),
inference(resolution,[status(thm)],[f8,f10]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : step(f(X0,f(f(X1,X2),f(X3,a))),f(X0,f(f(X3,f(X2,a)),X1))),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : step(f(f(f(X0,X1),f(X2,a)),X3),f(f(f(X2,f(X1,a)),X0),X3)),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( ~ seq(X0,X1,f(f(X2,X3),f(X4,a)))
| seq(succ(X0),X1,f(f(X4,f(X3,a)),X2)) ),
inference(resolution,[status(thm)],[f18,f17]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ seq(X0,X1,f(X2,f(f(X3,X4),f(X5,a))))
| seq(succ(X0),X1,f(X2,f(f(X5,f(X4,a)),X3))) ),
inference(resolution,[status(thm)],[f19,f17]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : seq(succ(zero),f(X0,f(f(X1,X2),f(X3,a))),f(X0,f(f(X3,f(X2,a)),X1))),
inference(resolution,[status(thm)],[f27,f15]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ seq(X0,X1,f(f(f(X2,X3),f(X4,a)),X5))
| seq(succ(X0),X1,f(f(f(X4,f(X3,a)),X2),X5)) ),
inference(resolution,[status(thm)],[f20,f17]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : ~ seq(succ(succ(zero)),f(f(f(X0,f(X1,a)),X2),X3),f(f(f(X2,X1),f(X0,a)),X3)),
inference(resolution,[status(thm)],[f37,f9]) ).
fof(f55,plain,
! [X0,X1,X2,X3] : ~ seq(succ(zero),f(f(f(X0,f(X1,a)),X2),X3),f(f(X3,X0),f(f(X2,X1),a))),
inference(resolution,[status(thm)],[f51,f21]) ).
fof(f56,plain,
$false,
inference(resolution,[status(thm)],[f55,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 : Mon Apr 29 21:02:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.018190 seconds
% 0.13/0.36 % CPU time: 0.032739 seconds
% 0.13/0.36 % Total memory used: 7.350 MB
% 0.13/0.36 % Net memory used: 7.333 MB
%------------------------------------------------------------------------------