TSTP Solution File: SYN079-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:45:55 EDT 2023
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_f(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
big_f(f(a,b),f(b,c)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
big_f(f(b,c),f(a,c)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X,Z] :
( ! [Y] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z) )
| big_f(X,Z) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ big_f(X0,X1)
| ~ big_f(X1,X2)
| big_f(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f9,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0] :
( ~ big_f(X0,f(b,c))
| big_f(X0,f(a,c)) ),
inference(resolution,[status(thm)],[f6,f8]) ).
fof(f12,plain,
big_f(f(a,b),f(a,c)),
inference(resolution,[status(thm)],[f11,f5]) ).
fof(f13,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN079-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:15:47 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Drodi V3.5.1
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.56 % Elapsed time: 0.013872 seconds
% 0.24/0.56 % CPU time: 0.025682 seconds
% 0.24/0.56 % Memory used: 6.990 MB
%------------------------------------------------------------------------------