TSTP Solution File: LAT037-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:16:47 EDT 2023
% Result : Unsatisfiable 0.12s 0.31s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of formulae : 49 ( 40 unt; 0 def)
% Number of atoms : 58 ( 57 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : join(X,n0) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : meet(X,n1) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Z,Y] :
( meet(X,Z) != X
| meet(Z,join(X,Y)) = join(X,meet(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f27,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f32,plain,
! [X0] : join(X0,n0) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f33,plain,
! [X0] : meet(X0,n1) = X0,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
! [X,Z] :
( meet(X,Z) != X
| ! [Y] : meet(Z,join(X,Y)) = join(X,meet(Y,Z)) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f36,plain,
! [X0,X1,X2] :
( meet(X0,X1) != X0
| meet(X1,join(X0,X2)) = join(X0,meet(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f37,plain,
join(xx,yy) = n1,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f38,plain,
join(xx,zz) = n1,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f39,plain,
meet(xx,yy) = n0,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f40,plain,
meet(xx,zz) = n0,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
yy != zz,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f112,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f21,f27]) ).
fof(f678,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f30]) ).
fof(f679,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f30,f678]) ).
fof(f710,plain,
! [X0,X1,X2] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f112,f30]) ).
fof(f711,plain,
! [X0,X1,X2] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f30,f710]) ).
fof(f946,plain,
! [X0] :
( meet(X0,zz) != X0
| meet(zz,join(X0,xx)) = join(X0,n0) ),
inference(paramodulation,[status(thm)],[f40,f36]) ).
fof(f947,plain,
! [X0] :
( meet(X0,zz) != X0
| meet(zz,join(X0,xx)) = X0 ),
inference(forward_demodulation,[status(thm)],[f32,f946]) ).
fof(f948,plain,
! [X0] :
( meet(X0,yy) != X0
| meet(yy,join(X0,xx)) = join(X0,n0) ),
inference(paramodulation,[status(thm)],[f39,f36]) ).
fof(f949,plain,
! [X0] :
( meet(X0,yy) != X0
| meet(yy,join(X0,xx)) = X0 ),
inference(forward_demodulation,[status(thm)],[f32,f948]) ).
fof(f1658,plain,
! [X0] :
( meet(zz,X0) != X0
| meet(zz,join(X0,xx)) = X0 ),
inference(paramodulation,[status(thm)],[f25,f947]) ).
fof(f1921,plain,
! [X0] :
( meet(yy,X0) != X0
| meet(yy,join(X0,xx)) = X0 ),
inference(paramodulation,[status(thm)],[f25,f949]) ).
fof(f1977,plain,
! [X0] : meet(zz,join(meet(zz,X0),xx)) = meet(zz,X0),
inference(resolution,[status(thm)],[f1658,f112]) ).
fof(f1978,plain,
! [X0] : meet(zz,join(X0,xx)) = meet(zz,X0),
inference(forward_demodulation,[status(thm)],[f711,f1977]) ).
fof(f2021,plain,
! [X0] : meet(zz,join(xx,X0)) = meet(zz,X0),
inference(paramodulation,[status(thm)],[f26,f1978]) ).
fof(f2083,plain,
meet(zz,n1) = meet(zz,yy),
inference(paramodulation,[status(thm)],[f37,f2021]) ).
fof(f2084,plain,
zz = meet(zz,yy),
inference(forward_demodulation,[status(thm)],[f33,f2083]) ).
fof(f2085,plain,
zz = meet(yy,zz),
inference(forward_demodulation,[status(thm)],[f25,f2084]) ).
fof(f3340,plain,
meet(yy,join(zz,xx)) = zz,
inference(resolution,[status(thm)],[f1921,f2085]) ).
fof(f3341,plain,
meet(yy,join(xx,zz)) = zz,
inference(forward_demodulation,[status(thm)],[f679,f3340]) ).
fof(f3342,plain,
meet(yy,n1) = zz,
inference(forward_demodulation,[status(thm)],[f38,f3341]) ).
fof(f3343,plain,
yy = zz,
inference(forward_demodulation,[status(thm)],[f33,f3342]) ).
fof(f3344,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3343,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 300
% 0.08/0.27 % DateTime : Tue May 30 09:31:15 EDT 2023
% 0.08/0.27 % CPUTime :
% 0.08/0.28 % Drodi V3.5.1
% 0.12/0.31 % Refutation found
% 0.12/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.32 % Elapsed time: 0.040454 seconds
% 0.12/0.32 % CPU time: 0.238003 seconds
% 0.12/0.32 % Memory used: 17.904 MB
%------------------------------------------------------------------------------