TSTP Solution File: LAT168-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT168-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:25:23 EDT 2024
% Result : Unsatisfiable 48.93s 6.60s
% Output : CNFRefutation 49.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f9,axiom,
! [X,Y,Z] : meet(join(X,Y),join(X,Z)) = join(X,meet(join(X,Y),meet(join(X,Z),join(Y,meet(X,Z))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),meet(join(X0,X2),join(X1,meet(X0,X2))))),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
meet(a,join(b,c)) != meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f33,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f35,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f25,f33]) ).
fof(f36,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f15,f35]) ).
fof(f153,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f185,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f17,f25]) ).
fof(f188,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,meet(X1,X2))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f14]) ).
fof(f208,plain,
! [X0,X1,X2] : join(join(X0,X1),meet(X2,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f13,f185]) ).
fof(f209,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f208]) ).
fof(f233,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f249,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f250,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f18,f249]) ).
fof(f269,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f33]) ).
fof(f349,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),meet(join(X2,X0),join(X1,meet(X0,X2))))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f476,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f14,f269]) ).
fof(f477,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X2,X0))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f476]) ).
fof(f611,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f15,f153]) ).
fof(f1446,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f36,f188]) ).
fof(f1633,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1446,f250]) ).
fof(f1635,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(X2,meet(X1,X0))) = join(X2,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f1446,f233]) ).
fof(f1636,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1633,f1635]) ).
fof(f13455,plain,
! [X0,X1,X2,X3] : meet(join(X0,meet(X1,X2)),meet(X3,join(X2,X0))) = meet(join(X0,meet(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f209,f477]) ).
fof(f13456,plain,
! [X0,X1,X2,X3] : meet(join(X0,X1),meet(X2,join(X1,meet(X3,X0)))) = meet(join(X1,meet(X3,X0)),X2),
inference(forward_demodulation,[status(thm)],[f611,f13455]) ).
fof(f17714,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),meet(join(X2,X0),join(X1,meet(X2,X0))))),
inference(paramodulation,[status(thm)],[f1636,f349]) ).
fof(f17715,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X1,meet(X2,X0)),join(X2,X0))),
inference(forward_demodulation,[status(thm)],[f13456,f17714]) ).
fof(f17716,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X2,X0),join(X1,meet(X2,X0)))),
inference(forward_demodulation,[status(thm)],[f1636,f17715]) ).
fof(f18172,plain,
meet(a,join(b,c)) != meet(a,meet(join(b,c),join(b,a))),
inference(backward_demodulation,[status(thm)],[f17716,f20]) ).
fof(f18173,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(forward_demodulation,[status(thm)],[f477,f18172]) ).
fof(f18174,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f18173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : LAT168-1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Apr 29 19:56:12 EDT 2024
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Drodi V3.6.0
% 48.93/6.60 % Refutation found
% 48.93/6.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 48.93/6.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 49.85/6.69 % Elapsed time: 6.307118 seconds
% 49.85/6.69 % CPU time: 49.759048 seconds
% 49.85/6.69 % Total memory used: 281.311 MB
% 49.85/6.69 % Net memory used: 275.495 MB
%------------------------------------------------------------------------------