TSTP Solution File: SET910+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:35:31 EDT 2023
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 19 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 12 (; 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,conjecture,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,axiom,
! [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
=> in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,plain,
? [A,B] :
( set_intersection2(A,singleton(B)) = singleton(B)
& ~ in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
( set_intersection2(sk0_2,singleton(sk0_3)) = singleton(sk0_3)
& ~ in(sk0_3,sk0_2) ),
inference(skolemization,[status(esa)],[f18]) ).
fof(f20,plain,
set_intersection2(sk0_2,singleton(sk0_3)) = singleton(sk0_3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
~ in(sk0_3,sk0_2),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f22,plain,
! [A,B] :
( set_intersection2(A,singleton(B)) != singleton(B)
| in(B,A) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( set_intersection2(X0,singleton(X1)) != singleton(X1)
| in(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
set_intersection2(sk0_2,singleton(sk0_3)) != singleton(sk0_3),
inference(resolution,[status(thm)],[f23,f21]) ).
fof(f25,plain,
singleton(sk0_3) != singleton(sk0_3),
inference(forward_demodulation,[status(thm)],[f20,f24]) ).
fof(f26,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.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 10:27:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.021767 seconds
% 0.13/0.37 % CPU time: 0.026510 seconds
% 0.13/0.37 % Memory used: 8.963 MB
%------------------------------------------------------------------------------