TSTP Solution File: LAT010-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT010-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:16:44 EDT 2023
% Result : Unsatisfiable 12.14s 1.96s
% Output : CNFRefutation 12.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 86 unt; 0 def)
% Number of atoms : 86 ( 85 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 221 (; 221 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X,Y,Z,U] : join(X,meet(Y,join(Z,meet(X,U)))) = meet(join(X,meet(Y,join(X,Z))),join(X,meet(join(X,Y),join(Z,U)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(Z,meet(X,Y))) = join(meet(Z,join(X,meet(Y,Z))),meet(X,join(Y,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,join(X2,meet(X0,X3)))) = meet(join(X0,meet(X1,join(X0,X2))),join(X0,meet(join(X0,X1),join(X2,X3)))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))) = join(meet(X2,join(X0,meet(X1,X2))),meet(X0,join(X1,X2))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(meet(a,meet(join(b,c),join(b,d))),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f25,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))) = join(meet(X0,join(X1,X2)),meet(X2,join(X0,meet(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f18,f23]) ).
fof(f26,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(meet(join(b,c),join(b,d)),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d))))),
inference(forward_demodulation,[status(thm)],[f19,f24]) ).
fof(f27,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),join(meet(a,c),meet(a,d)))))),
inference(forward_demodulation,[status(thm)],[f19,f26]) ).
fof(f32,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f34,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f18,f15]) ).
fof(f42,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f32,f34]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f17,f42]) ).
fof(f44,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f16,f34]) ).
fof(f45,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f44]) ).
fof(f90,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f104,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f105,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f17,f19]) ).
fof(f106,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f19,f105]) ).
fof(f119,plain,
! [X0,X1,X2] : meet(X0,meet(X1,meet(X2,X0))) = meet(meet(X1,X2),X0),
inference(paramodulation,[status(thm)],[f19,f43]) ).
fof(f120,plain,
! [X0,X1,X2] : meet(X0,meet(X1,meet(X2,X0))) = meet(X1,meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f19,f119]) ).
fof(f121,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f19,f32]) ).
fof(f144,plain,
! [X0,X1,X2] : join(X0,meet(meet(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f17,f121]) ).
fof(f145,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f144]) ).
fof(f154,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f15,f121]) ).
fof(f155,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f154]) ).
fof(f185,plain,
! [X0,X1,X2] : meet(meet(X0,meet(X1,X2)),X1) = meet(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f145,f34]) ).
fof(f186,plain,
! [X0,X1,X2] : meet(X0,meet(meet(X1,X2),X1)) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f185]) ).
fof(f187,plain,
! [X0,X1,X2] : meet(X0,meet(X1,meet(X2,X1))) = meet(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f186]) ).
fof(f188,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f43,f187]) ).
fof(f198,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f233,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f20,f34]) ).
fof(f527,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f90]) ).
fof(f854,plain,
! [X0,X1,X2,X3] : meet(meet(X0,meet(X1,X2)),X3) = meet(X0,meet(meet(X2,X1),X3)),
inference(paramodulation,[status(thm)],[f188,f19]) ).
fof(f855,plain,
! [X0,X1,X2,X3] : meet(X0,meet(meet(X1,X2),X3)) = meet(X0,meet(meet(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f19,f854]) ).
fof(f856,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,meet(X2,X3))) = meet(X0,meet(meet(X2,X1),X3)),
inference(forward_demodulation,[status(thm)],[f19,f855]) ).
fof(f857,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,meet(X2,X3))) = meet(X0,meet(X2,meet(X1,X3))),
inference(forward_demodulation,[status(thm)],[f19,f856]) ).
fof(f951,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f198]) ).
fof(f1111,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,join(meet(X0,X2),meet(X0,X3)))) = meet(join(X0,meet(X1,X0)),join(X0,meet(join(X0,X1),join(meet(X0,X2),X3)))),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f1112,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,join(meet(X0,X2),meet(X0,X3)))) = meet(X0,join(X0,meet(join(X0,X1),join(meet(X0,X2),X3)))),
inference(forward_demodulation,[status(thm)],[f32,f1111]) ).
fof(f1113,plain,
! [X0,X1,X2,X3] : join(X0,meet(X1,join(meet(X0,X2),meet(X0,X3)))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f1112]) ).
fof(f1687,plain,
! [X0,X1,X2,X3] : meet(meet(X0,X1),meet(X2,X3)) = meet(X2,meet(X1,meet(X0,X3))),
inference(paramodulation,[status(thm)],[f527,f90]) ).
fof(f1688,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,meet(X2,X3))) = meet(X2,meet(X1,meet(X0,X3))),
inference(forward_demodulation,[status(thm)],[f19,f1687]) ).
fof(f1908,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),join(X2,join(X1,join(X0,X3)))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f951,f233]) ).
fof(f2411,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(paramodulation,[status(thm)],[f25,f15]) ).
fof(f2412,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),meet(join(X0,meet(X1,X2)),join(X2,meet(X0,X1))))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f2411]) ).
fof(f2873,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(meet(X1,X2),meet(X1,X3))),X1) = meet(X0,join(meet(X1,X2),meet(X1,X3))),
inference(paramodulation,[status(thm)],[f1113,f34]) ).
fof(f2874,plain,
! [X0,X1,X2,X3] : meet(X0,meet(join(meet(X1,X2),meet(X1,X3)),X1)) = meet(X0,join(meet(X1,X2),meet(X1,X3))),
inference(forward_demodulation,[status(thm)],[f19,f2873]) ).
fof(f2875,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(meet(X1,X2),meet(X1,X3)))) = meet(X0,join(meet(X1,X2),meet(X1,X3))),
inference(forward_demodulation,[status(thm)],[f188,f2874]) ).
fof(f5970,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(join(X0,X3),X2))),
inference(paramodulation,[status(thm)],[f106,f104]) ).
fof(f6152,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X2),join(X2,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[status(thm)],[f5970,f2412]) ).
fof(f6840,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X2,X0)) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f155,f34]) ).
fof(f6841,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X1,meet(X2,X0))) = join(X1,meet(X2,X0)),
inference(forward_demodulation,[status(thm)],[f17,f6840]) ).
fof(f6844,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X2,X1)),
inference(backward_demodulation,[status(thm)],[f6841,f6152]) ).
fof(f6977,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,meet(X1,X3)))) = meet(X0,join(meet(X1,X3),meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f6844,f2875]) ).
fof(f6978,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(X0,join(meet(X1,X2),meet(X1,X3))),
inference(forward_demodulation,[status(thm)],[f6844,f6977]) ).
fof(f7190,plain,
! [X0,X1,X2] : meet(join(meet(X0,X1),meet(X0,X2)),meet(X0,join(X1,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f13,f6978]) ).
fof(f7191,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(meet(X2,X0),meet(X2,X1)))) = join(meet(X2,X0),meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f527,f7190]) ).
fof(f7192,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,meet(X2,join(X0,X1)))) = join(meet(X2,X0),meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f6978,f7191]) ).
fof(f7193,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f120,f7192]) ).
fof(f7194,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f45,f7193]) ).
fof(f7214,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(X0,join(meet(X1,X3),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f18,f6978]) ).
fof(f7215,plain,
! [X0,X1,X2,X3] : meet(X0,meet(X1,join(X2,X3))) = meet(X0,meet(X1,join(X3,X2))),
inference(forward_demodulation,[status(thm)],[f6978,f7214]) ).
fof(f7585,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(b,meet(c,d))),meet(a,join(c,d)))))),
inference(backward_demodulation,[status(thm)],[f7194,f27]) ).
fof(f7586,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(meet(a,join(c,d)),meet(a,join(b,meet(c,d))))))),
inference(forward_demodulation,[status(thm)],[f7215,f7585]) ).
fof(f7587,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),meet(a,join(join(c,d),join(b,meet(c,d))))))),
inference(forward_demodulation,[status(thm)],[f6978,f7586]) ).
fof(f7588,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(a,meet(join(b,d),meet(join(b,c),join(join(c,d),join(b,meet(c,d))))))),
inference(forward_demodulation,[status(thm)],[f1688,f7587]) ).
fof(f7589,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,d),meet(join(b,c),join(join(c,d),join(b,meet(c,d)))))),
inference(forward_demodulation,[status(thm)],[f45,f7588]) ).
fof(f7590,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(join(c,d),join(b,meet(c,d)))))),
inference(forward_demodulation,[status(thm)],[f857,f7589]) ).
fof(f7591,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),meet(join(b,d),join(c,join(d,join(b,meet(c,d))))))),
inference(forward_demodulation,[status(thm)],[f20,f7590]) ).
fof(f7592,plain,
meet(a,meet(join(b,c),join(b,d))) != meet(a,meet(join(b,c),join(b,d))),
inference(forward_demodulation,[status(thm)],[f1908,f7591]) ).
fof(f7593,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : LAT010-1 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:40:32 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 12.14/1.96 % Refutation found
% 12.14/1.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.14/1.96 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.61/2.01 % Elapsed time: 1.695801 seconds
% 12.61/2.01 % CPU time: 12.663408 seconds
% 12.61/2.01 % Memory used: 99.825 MB
%------------------------------------------------------------------------------