TSTP Solution File: LAT037-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : 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 : Tue Apr 30 20:25:15 EDT 2024
% Result : Unsatisfiable 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 73 ( 53 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 42 ( 22 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 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 : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = 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(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : join(X,meet(Y,Z)) = meet(join(X,Y),join(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(f23,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
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(f28,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f29,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
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(f55,plain,
! [X0] : X0 = meet(n1,X0),
inference(paramodulation,[status(thm)],[f33,f25]) ).
fof(f64,plain,
! [X0] : join(n1,X0) = n1,
inference(paramodulation,[status(thm)],[f23,f55]) ).
fof(f82,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f90,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f108,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f109,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f27,f108]) ).
fof(f157,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f24,f82]) ).
fof(f158,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f27,f157]) ).
fof(f404,plain,
! [X0] : join(n1,X0) = join(xx,join(yy,X0)),
inference(paramodulation,[status(thm)],[f37,f28]) ).
fof(f405,plain,
! [X0] : n1 = join(xx,join(yy,X0)),
inference(forward_demodulation,[status(thm)],[f64,f404]) ).
fof(f513,plain,
! [X0] : join(xx,meet(zz,X0)) = meet(n1,join(xx,X0)),
inference(paramodulation,[status(thm)],[f38,f29]) ).
fof(f514,plain,
! [X0] : join(xx,meet(zz,X0)) = join(xx,X0),
inference(forward_demodulation,[status(thm)],[f55,f513]) ).
fof(f515,plain,
! [X0] : join(xx,meet(yy,X0)) = meet(n1,join(xx,X0)),
inference(paramodulation,[status(thm)],[f37,f29]) ).
fof(f516,plain,
! [X0] : join(xx,meet(yy,X0)) = join(xx,X0),
inference(forward_demodulation,[status(thm)],[f55,f515]) ).
fof(f770,plain,
! [X0] :
( meet(X0,zz) != X0
| meet(zz,join(X0,xx)) = join(X0,n0) ),
inference(paramodulation,[status(thm)],[f40,f36]) ).
fof(f771,plain,
! [X0] :
( meet(X0,zz) != X0
| meet(zz,join(X0,xx)) = X0 ),
inference(forward_demodulation,[status(thm)],[f32,f770]) ).
fof(f772,plain,
! [X0] :
( meet(X0,yy) != X0
| meet(yy,join(X0,xx)) = join(X0,n0) ),
inference(paramodulation,[status(thm)],[f39,f36]) ).
fof(f773,plain,
! [X0] :
( meet(X0,yy) != X0
| meet(yy,join(X0,xx)) = X0 ),
inference(forward_demodulation,[status(thm)],[f32,f772]) ).
fof(f1123,plain,
! [X0] :
( meet(X0,zz) != X0
| meet(zz,join(xx,X0)) = X0 ),
inference(paramodulation,[status(thm)],[f26,f771]) ).
fof(f1164,plain,
! [X0] :
( meet(X0,yy) != X0
| meet(yy,join(xx,X0)) = X0 ),
inference(paramodulation,[status(thm)],[f26,f773]) ).
fof(f1183,plain,
! [X0] :
( meet(meet(zz,X0),zz) != meet(zz,X0)
| meet(zz,join(xx,X0)) = meet(zz,X0) ),
inference(paramodulation,[status(thm)],[f514,f1123]) ).
fof(f1184,plain,
! [X0] :
( meet(zz,meet(X0,zz)) != meet(zz,X0)
| meet(zz,join(xx,X0)) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f27,f1183]) ).
fof(f1185,plain,
! [X0] :
( meet(zz,X0) != meet(zz,X0)
| meet(zz,join(xx,X0)) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f158,f1184]) ).
fof(f1186,plain,
! [X0] : meet(zz,join(xx,X0)) = meet(zz,X0),
inference(trivial_equality_resolution,[status(esa)],[f1185]) ).
fof(f1295,plain,
! [X0] : meet(zz,join(xx,X0)) = meet(zz,meet(yy,X0)),
inference(paramodulation,[status(thm)],[f516,f1186]) ).
fof(f1296,plain,
! [X0] : meet(zz,X0) = meet(zz,meet(yy,X0)),
inference(forward_demodulation,[status(thm)],[f1186,f1295]) ).
fof(f1297,plain,
! [X0] : meet(zz,X0) = meet(yy,meet(zz,X0)),
inference(forward_demodulation,[status(thm)],[f109,f1296]) ).
fof(f1305,plain,
! [X0] : meet(zz,n1) = meet(zz,join(yy,X0)),
inference(paramodulation,[status(thm)],[f405,f1186]) ).
fof(f1306,plain,
! [X0] : zz = meet(zz,join(yy,X0)),
inference(forward_demodulation,[status(thm)],[f33,f1305]) ).
fof(f1714,plain,
! [X0] :
( meet(meet(yy,X0),yy) != meet(yy,X0)
| meet(yy,join(xx,X0)) = meet(yy,X0) ),
inference(paramodulation,[status(thm)],[f516,f1164]) ).
fof(f1715,plain,
! [X0] :
( meet(yy,meet(X0,yy)) != meet(yy,X0)
| meet(yy,join(xx,X0)) = meet(yy,X0) ),
inference(forward_demodulation,[status(thm)],[f27,f1714]) ).
fof(f1716,plain,
! [X0] :
( meet(yy,X0) != meet(yy,X0)
| meet(yy,join(xx,X0)) = meet(yy,X0) ),
inference(forward_demodulation,[status(thm)],[f158,f1715]) ).
fof(f1717,plain,
! [X0] : meet(yy,join(xx,X0)) = meet(yy,X0),
inference(trivial_equality_resolution,[status(esa)],[f1716]) ).
fof(f1718,plain,
! [X0] :
( meet(meet(zz,X0),yy) != meet(zz,X0)
| meet(yy,join(xx,X0)) = meet(zz,X0) ),
inference(paramodulation,[status(thm)],[f514,f1164]) ).
fof(f1719,plain,
! [X0] :
( meet(zz,meet(X0,yy)) != meet(zz,X0)
| meet(yy,join(xx,X0)) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f27,f1718]) ).
fof(f1720,plain,
! [X0] :
( meet(yy,meet(zz,X0)) != meet(zz,X0)
| meet(yy,join(xx,X0)) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f90,f1719]) ).
fof(f1721,plain,
! [X0] :
( meet(zz,X0) != meet(zz,X0)
| meet(yy,join(xx,X0)) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f1297,f1720]) ).
fof(f1722,plain,
! [X0] :
( meet(zz,X0) != meet(zz,X0)
| meet(yy,X0) = meet(zz,X0) ),
inference(forward_demodulation,[status(thm)],[f1717,f1721]) ).
fof(f1723,plain,
! [X0] : meet(yy,X0) = meet(zz,X0),
inference(trivial_equality_resolution,[status(esa)],[f1722]) ).
fof(f1780,plain,
! [X0] : zz = meet(yy,join(yy,X0)),
inference(backward_demodulation,[status(thm)],[f1723,f1306]) ).
fof(f1781,plain,
zz = yy,
inference(forward_demodulation,[status(thm)],[f23,f1780]) ).
fof(f1782,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1781,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n029.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 20:22:34 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.17/0.44 % Refutation found
% 0.17/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.46 % Elapsed time: 0.113465 seconds
% 0.17/0.46 % CPU time: 0.753251 seconds
% 0.17/0.46 % Total memory used: 52.934 MB
% 0.17/0.46 % Net memory used: 52.329 MB
%------------------------------------------------------------------------------