TSTP Solution File: SET585+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:34:43 EDT 2023
% Result : Theorem 0.16s 0.55s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 (; 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,C,D] :
( ( subset(B,C)
& subset(C,D) )
=> subset(B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,C] : subset(B,union(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,C] : subset(intersection(B,C),B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
! [B,C,D] : subset(intersection(B,C),union(B,D)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ ! [B,C,D] : subset(intersection(B,C),union(B,D)),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [B,C,D] :
( ~ subset(B,C)
| ~ subset(C,D)
| subset(B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [B,D] :
( ! [C] :
( ~ subset(B,C)
| ~ subset(C,D) )
| subset(B,D) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f16,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : subset(intersection(X0,X1),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f45,plain,
? [B,C,D] : ~ subset(intersection(B,C),union(B,D)),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f46,plain,
~ subset(intersection(sk0_2,sk0_3),union(sk0_2,sk0_4)),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
~ subset(intersection(sk0_2,sk0_3),union(sk0_2,sk0_4)),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[status(thm)],[f15,f16]) ).
fof(f109,plain,
~ subset(intersection(sk0_2,sk0_3),sk0_2),
inference(resolution,[status(thm)],[f51,f47]) ).
fof(f110,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f109,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET585+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:12:07 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.16/0.55 % Refutation found
% 0.16/0.55 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.014685 seconds
% 0.16/0.55 % CPU time: 0.013660 seconds
% 0.16/0.55 % Memory used: 3.634 MB
%------------------------------------------------------------------------------