TSTP Solution File: SYN321+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN321+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:51:51 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 60 ( 20 ~; 18 |; 11 &)
% ( 2 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 61 ( 53 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X,Y] :
( ( ? [Z] : big_f(X,Z)
=> ! [Z] : big_g(X,Z) )
=> ( ! [Z] :
( big_g(Z,Z)
=> big_f(Z,Y) )
=> ( big_f(X,Y)
<=> ! [Z] : big_g(X,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X,Y] :
( ( ! [Z] : ~ big_f(X,Z)
| ! [Z] : big_g(X,Z) )
& ! [Z] :
( ~ big_g(Z,Z)
| big_f(Z,Y) )
& ( big_f(X,Y)
<~> ! [Z] : big_g(X,Z) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
! [X,Y] :
( ( ! [Z] : ~ big_f(X,Z)
| ! [Z] : big_g(X,Z) )
& ! [Z] :
( ~ big_g(Z,Z)
| big_f(Z,Y) )
& ( big_f(X,Y)
| ! [Z] : big_g(X,Z) )
& ( ~ big_f(X,Y)
| ? [Z] : ~ big_g(X,Z) ) ),
inference(NNF_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
( ! [X] :
( ! [Z] : ~ big_f(X,Z)
| ! [Z] : big_g(X,Z) )
& ! [Z] :
( ~ big_g(Z,Z)
| ! [Y] : big_f(Z,Y) )
& ! [X] :
( ! [Y] : big_f(X,Y)
| ! [Z] : big_g(X,Z) )
& ! [X] :
( ! [Y] : ~ big_f(X,Y)
| ? [Z] : ~ big_g(X,Z) ) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f6,plain,
( ! [X] :
( ! [Z] : ~ big_f(X,Z)
| ! [Z] : big_g(X,Z) )
& ! [Z] :
( ~ big_g(Z,Z)
| ! [Y] : big_f(Z,Y) )
& ! [X] :
( ! [Y] : big_f(X,Y)
| ! [Z] : big_g(X,Z) )
& ! [X] :
( ! [Y] : ~ big_f(X,Y)
| ~ big_g(X,sk0_0(X)) ) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1)
| big_g(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_g(X0,X0)
| big_f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
! [X0,X1,X2] :
( big_f(X0,X1)
| big_g(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_g(X0,sk0_0(X0)) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f11,plain,
! [X0,X1] : big_g(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f9,f7]) ).
fof(f12,plain,
! [X0,X1] : big_f(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f8,f11]) ).
fof(f13,plain,
! [X0] : ~ big_g(X0,sk0_0(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f10,f12]) ).
fof(f14,plain,
$false,
inference(resolution,[status(thm)],[f13,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN321+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:49:20 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 Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.017924 seconds
% 0.13/0.37 % CPU time: 0.027306 seconds
% 0.13/0.37 % Total memory used: 1.907 MB
% 0.13/0.37 % Net memory used: 1.715 MB
%------------------------------------------------------------------------------