TSTP Solution File: SYN413+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:52:09 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 4 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 50 ( 19 ~; 13 |; 13 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 36 ( 26 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
=> ~ ? [V] :
! [U] : f(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
=> ~ ? [V] :
! [U] : f(U,V) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
? [Y] :
! [X] :
( f(X,Y)
<=> ( f(X,Z)
& ~ f(X,X) ) )
& ? [V] :
! [U] : f(U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [Z] :
? [Y] :
! [X] :
( ( ~ f(X,Y)
| ( f(X,Z)
& ~ f(X,X) ) )
& ( f(X,Y)
| ~ f(X,Z)
| f(X,X) ) )
& ? [V] :
! [U] : f(U,V) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [Z] :
? [Y] :
( ! [X] :
( ~ f(X,Y)
| ( f(X,Z)
& ~ f(X,X) ) )
& ! [X] :
( f(X,Y)
| ~ f(X,Z)
| f(X,X) ) )
& ? [V] :
! [U] : f(U,V) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f6,plain,
( ! [Z] :
( ! [X] :
( ~ f(X,sk0_0(Z))
| ( f(X,Z)
& ~ f(X,X) ) )
& ! [X] :
( f(X,sk0_0(Z))
| ~ f(X,Z)
| f(X,X) ) )
& ! [U] : f(U,sk0_1) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0,X1] :
( ~ f(X0,sk0_0(X1))
| ~ f(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( f(X0,sk0_0(X1))
| ~ f(X0,X1)
| f(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
! [X0] : f(X0,sk0_1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f11,plain,
! [X0] :
( f(X0,sk0_0(sk0_1))
| f(X0,X0) ),
inference(resolution,[status(thm)],[f9,f10]) ).
fof(f12,plain,
~ f(sk0_0(sk0_1),sk0_0(sk0_1)),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f29,plain,
f(sk0_0(sk0_1),sk0_0(sk0_1)),
inference(factoring,[status(esa)],[f11]) ).
fof(f30,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f29,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.34 % Computer : n017.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 21:31:33 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37 % Elapsed time: 0.016342 seconds
% 0.15/0.37 % CPU time: 0.030878 seconds
% 0.15/0.37 % Total memory used: 1.908 MB
% 0.15/0.37 % Net memory used: 1.835 MB
%------------------------------------------------------------------------------