TSTP Solution File: SYN012-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:45:42 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 4 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 55 ( 23 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 52 (; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( ~ big_f(X,Y)
| ~ big_f(X,g(X,Y))
| big_g(Y,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( ~ big_f(X,Y)
| big_f(X,g(X,Y))
| ~ big_g(Y,g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( ~ big_f(X,Y)
| ~ big_f(g(X,Y),g(X,Y))
| big_g(g(X,Y),g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( big_f(X,Y)
| big_f(g(X,Y),g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( big_f(X,Y)
| ~ big_g(g(X,Y),g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( big_g(X,Y)
| big_g(g(X,Y),g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ big_g(X,Y)
| ~ big_g(g(X,Y),g(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(X0,g(X0,X1))
| big_g(X1,g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X0,g(X0,X1))
| ~ big_g(X1,g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_g(g(X0,X1),g(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f15,plain,
! [X0,X1] :
( big_g(X0,X1)
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_g(g(X0,X1),g(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f10,f15]) ).
fof(f19,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| big_f(X0,g(X0,X1))
| big_f(X1,g(X0,X1)) ),
inference(resolution,[status(thm)],[f9,f15]) ).
fof(f20,plain,
! [X0,X1] :
( big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f19,f11]) ).
fof(f21,plain,
! [X0,X1] :
( big_f(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( big_f(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
inference(resolution,[status(thm)],[f21,f8]) ).
fof(f23,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_g(g(X0,X1),g(g(X0,X1),g(X0,X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f22,f11]) ).
fof(f25,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_g(g(g(X0,X1),g(g(X0,X1),g(X0,X1))),g(g(X0,X1),g(g(X0,X1),g(X0,X1)))) ),
inference(resolution,[status(thm)],[f21,f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(g(X0,X1),g(X0,X1)))
| big_f(X0,X1) ),
inference(resolution,[status(thm)],[f14,f25]) ).
fof(f32,plain,
! [X0,X1] : big_f(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f31,f23]) ).
fof(f37,plain,
! [X0,X1] : big_g(g(X0,X1),g(X0,X1)),
inference(backward_subsumption_resolution,[status(thm)],[f16,f32]) ).
fof(f38,plain,
! [X0,X1] : ~ big_g(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f14,f37]) ).
fof(f39,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f37,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN012-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 : Tue May 30 10:42:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 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: 0.018617 seconds
% 0.13/0.37 % CPU time: 0.040092 seconds
% 0.13/0.37 % Memory used: 1.918 MB
%------------------------------------------------------------------------------