TSTP Solution File: LAT005-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:16:43 EDT 2023
% Result : Unsatisfiable 100.81s 13.09s
% Output : CNFRefutation 101.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 18
% Syntax : Number of formulae : 86 ( 53 unt; 0 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 128 ( 65 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 116 (; 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X] : join(X,n0,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : meet(X,n0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] :
( ~ meet(X,Y,Z)
| meet(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| join(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] :
( ~ meet(X,Y,Z)
| join(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( ~ join(X,Y,Z)
| meet(X,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Xy,Z,Yz,Xyz] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Yz,Xyz)
| meet(Xy,Z,Xyz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,Xy,Z,Yz,Xyz] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz)
| ~ meet(Xy,Z,Xyz)
| meet(X,Yz,Xyz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Z,Y,X1,Y1,Z1] :
( ~ meet(X,Z,X)
| ~ join(X,Y,X1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y1,Z1)
| meet(Z,X1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : join(X0,n0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f38,plain,
! [X0] : meet(X0,n0,n0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| meet(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| join(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f44,plain,
! [X,Z] :
( ! [Y] : ~ meet(X,Y,Z)
| join(X,Z,X) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| join(X0,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X,Z] :
( ! [Y] : ~ join(X,Y,Z)
| meet(X,Z,X) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ join(X0,X1,X2)
| meet(X0,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [Xy,Z,Xyz] :
( ! [X,Yz] :
( ! [Y] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz) )
| ~ meet(X,Yz,Xyz) )
| meet(Xy,Z,Xyz) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X0,X1,X2)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X4,X5)
| meet(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X,Yz,Xyz] :
( ! [Xy,Z] :
( ! [Y] :
( ~ meet(X,Y,Xy)
| ~ meet(Y,Z,Yz) )
| ~ meet(Xy,Z,Xyz) )
| meet(X,Yz,Xyz) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X0,X1,X2)
| ~ meet(X1,X3,X4)
| ~ meet(X2,X3,X5)
| meet(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f58,plain,
! [Z,X1,Z1] :
( ! [X,Y1] :
( ! [Y] :
( ~ meet(X,Z,X)
| ~ join(X,Y,X1)
| ~ meet(Y,Z,Y1) )
| ~ join(X,Y1,Z1) )
| meet(Z,X1,Z1) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X0,X1,X0)
| ~ join(X0,X2,X3)
| ~ meet(X2,X1,X4)
| ~ join(X0,X4,X5)
| meet(X1,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f58]) ).
fof(f60,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f61,plain,
meet(a,b,c),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f63,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f64,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f65,plain,
join(a,b,c2),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f67,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f68,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f69,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f70,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f73,plain,
meet(b,r2,e),
inference(resolution,[status(thm)],[f42,f64]) ).
fof(f74,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f42,f63]) ).
fof(f81,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f43,f65]) ).
fof(f87,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f88,plain,
meet(a,r2,d),
inference(resolution,[status(thm)],[f68,f42]) ).
fof(f89,plain,
join(e,r1,a2),
inference(resolution,[status(thm)],[f69,f43]) ).
fof(f103,plain,
join(b,e,b),
inference(resolution,[status(thm)],[f45,f73]) ).
fof(f111,plain,
join(a,d,a),
inference(resolution,[status(thm)],[f45,f88]) ).
fof(f119,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f47,f81]) ).
fof(f122,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[f47,f69]) ).
fof(f126,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f47,f65]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ~ meet(X0,a,X1)
| ~ meet(X0,c,X2)
| meet(X1,b,X2) ),
inference(resolution,[status(thm)],[f49,f61]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( ~ meet(X0,X1,X2)
| ~ meet(X1,X3,n0)
| meet(X2,X3,n0) ),
inference(resolution,[status(thm)],[f49,f38]) ).
fof(f170,plain,
join(e,b,b),
inference(resolution,[status(thm)],[f103,f43]) ).
fof(f176,plain,
join(d,a,a),
inference(resolution,[status(thm)],[f111,f43]) ).
fof(f190,plain,
meet(c2,b,b),
inference(resolution,[status(thm)],[f119,f42]) ).
fof(f202,plain,
meet(c2,a,a),
inference(resolution,[status(thm)],[f126,f42]) ).
fof(f205,plain,
meet(e,b,e),
inference(resolution,[status(thm)],[f170,f47]) ).
fof(f220,plain,
meet(d,a,d),
inference(resolution,[status(thm)],[f176,f47]) ).
fof(f268,plain,
meet(b,e,e),
inference(resolution,[status(thm)],[f205,f42]) ).
fof(f280,plain,
meet(a,d,d),
inference(resolution,[status(thm)],[f220,f42]) ).
fof(f297,plain,
! [X0] :
( ~ meet(r2,a,X0)
| meet(X0,b,n0) ),
inference(resolution,[status(thm)],[f144,f74]) ).
fof(f385,plain,
! [X0] :
( ~ meet(X0,b,b)
| meet(X0,e,e) ),
inference(resolution,[status(thm)],[f51,f268]) ).
fof(f419,plain,
! [X0] :
( ~ meet(X0,a,a)
| meet(X0,d,d) ),
inference(resolution,[status(thm)],[f51,f280]) ).
fof(f827,plain,
! [X0,X1,X2] :
( ~ meet(X0,c2,X0)
| ~ join(X0,r1,X1)
| ~ join(X0,n0,X2)
| meet(c2,X1,X2) ),
inference(resolution,[status(thm)],[f59,f87]) ).
fof(f911,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[f297,f68]) ).
fof(f922,plain,
meet(b,d,n0),
inference(resolution,[status(thm)],[f911,f42]) ).
fof(f1089,plain,
meet(c2,e,e),
inference(resolution,[status(thm)],[f385,f190]) ).
fof(f1110,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[f1089,f42]) ).
fof(f1214,plain,
meet(c2,d,d),
inference(resolution,[status(thm)],[f419,f202]) ).
fof(f1233,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[f1214,f42]) ).
fof(f1361,plain,
! [X0,X1] :
( ~ meet(X0,b,X1)
| meet(X1,d,n0) ),
inference(resolution,[status(thm)],[f163,f922]) ).
fof(f1458,plain,
meet(e,d,n0),
inference(resolution,[status(thm)],[f1361,f205]) ).
fof(f1492,plain,
meet(d,e,n0),
inference(resolution,[status(thm)],[f1458,f42]) ).
fof(f1523,plain,
! [X0,X1,X2] :
( ~ meet(d,X0,X1)
| ~ meet(X0,X2,e)
| meet(X1,X2,n0) ),
inference(resolution,[status(thm)],[f1492,f49]) ).
fof(f5072,plain,
! [X0,X1] :
( ~ join(e,r1,X0)
| ~ join(e,n0,X1)
| meet(c2,X0,X1) ),
inference(resolution,[status(thm)],[f827,f1110]) ).
fof(f35155,plain,
! [X0] :
( ~ meet(c2,X0,e)
| meet(d,X0,n0) ),
inference(resolution,[status(thm)],[f1523,f1233]) ).
fof(f38477,plain,
! [X0] :
( ~ join(e,n0,X0)
| meet(c2,a2,X0) ),
inference(resolution,[status(thm)],[f5072,f89]) ).
fof(f38478,plain,
meet(c2,a2,e),
inference(resolution,[status(thm)],[f38477,f36]) ).
fof(f38483,plain,
meet(d,a2,n0),
inference(resolution,[status(thm)],[f38478,f35155]) ).
fof(f38652,plain,
! [X0,X1,X2] :
( ~ meet(X0,a2,X0)
| ~ join(X0,d,X1)
| ~ join(X0,n0,X2)
| meet(a2,X1,X2) ),
inference(resolution,[status(thm)],[f38483,f59]) ).
fof(f62910,plain,
! [X0,X1] :
( ~ join(r1,d,X0)
| ~ join(r1,n0,X1)
| meet(a2,X0,X1) ),
inference(resolution,[status(thm)],[f38652,f122]) ).
fof(f62914,plain,
! [X0] :
( ~ join(r1,n0,X0)
| meet(a2,b2,X0) ),
inference(resolution,[status(thm)],[f62910,f70]) ).
fof(f62915,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[f62914,f36]) ).
fof(f62916,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f62915,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 09:44:13 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 100.81/13.09 % Refutation found
% 100.81/13.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 100.81/13.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 101.47/13.21 % Elapsed time: 12.863330 seconds
% 101.47/13.21 % CPU time: 101.840282 seconds
% 101.47/13.21 % Memory used: 301.470 MB
%------------------------------------------------------------------------------