TSTP Solution File: SYN006-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Tue Apr 30 20:51:00 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( ~ p1(X,f(Y))
| q1(f(X),Y)
| q2(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y] : p1(a,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] : ~ q2(X,f(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( ~ p2(X,f(Y))
| q3(f(X),Y)
| q4(X,f(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] : ~ q3(X,g(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] : ~ q4(f(f(X)),f(g(f(Y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ q1(X,f(Y))
| p2(f(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1)
| q2(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0] : p1(a,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] : ~ q2(X0,f(X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( ~ p2(X0,f(X1))
| q3(f(X0),X1)
| q4(X0,f(X1)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1] : ~ q3(X0,g(X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ q1(X0,f(X1))
| p2(f(X0),X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f15,plain,
! [X0,X1] :
( ~ p1(X0,f(X1))
| q1(f(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f8,f10]) ).
fof(f16,plain,
! [X0] : q1(f(a),X0),
inference(resolution,[status(thm)],[f15,f9]) ).
fof(f17,plain,
! [X0] : p2(f(f(a)),X0),
inference(resolution,[status(thm)],[f16,f14]) ).
fof(f18,plain,
! [X0] :
( q3(f(f(f(a))),X0)
| q4(f(f(a)),f(X0)) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f19,plain,
! [X0] : q3(f(f(f(a))),g(f(X0))),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f20,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % 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 21:58:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 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
% 0.13/0.37 % Elapsed time: 0.016446 seconds
% 0.13/0.37 % CPU time: 0.029466 seconds
% 0.13/0.37 % Total memory used: 1.899 MB
% 0.13/0.37 % Net memory used: 1.788 MB
%------------------------------------------------------------------------------