TSTP Solution File: LAT043-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:16:48 EDT 2023
% Result : Unsatisfiable 14.73s 2.30s
% Output : CNFRefutation 14.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 78 unt; 0 def)
% Number of atoms : 78 ( 77 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 146 (; 146 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : meet(complement(X),X) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
complement(join(c,d)) != meet(complement(c),complement(d)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f17,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f21,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] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f23,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f24,plain,
! [X0] : meet(complement(X0),X0) = n0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f25,plain,
! [X0] : complement(complement(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f26,plain,
complement(join(c,d)) != meet(complement(c),complement(d)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f27,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(forward_demodulation,[status(thm)],[f19,f23]) ).
fof(f28,plain,
! [X0] : meet(X0,complement(X0)) = n0,
inference(forward_demodulation,[status(thm)],[f18,f24]) ).
fof(f31,plain,
! [X0] : meet(X0,n1) = X0,
inference(paramodulation,[status(thm)],[f27,f16]) ).
fof(f35,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f41,plain,
! [X0] : join(X0,n0) = X0,
inference(paramodulation,[status(thm)],[f28,f17]) ).
fof(f46,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f17,f35]) ).
fof(f47,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f46]) ).
fof(f49,plain,
! [X0] : join(n0,X0) = X0,
inference(paramodulation,[status(thm)],[f19,f41]) ).
fof(f57,plain,
n1 = complement(n0),
inference(paramodulation,[status(thm)],[f27,f49]) ).
fof(f73,plain,
! [X0] : X0 = meet(n1,X0),
inference(paramodulation,[status(thm)],[f31,f18]) ).
fof(f82,plain,
! [X0,X1] : n0 = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f28,f20]) ).
fof(f86,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f18,f20]) ).
fof(f104,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f20]) ).
fof(f128,plain,
! [X0] : join(X0,n1) = n1,
inference(paramodulation,[status(thm)],[f35,f73]) ).
fof(f302,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f47,f20]) ).
fof(f303,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(meet(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f20,f302]) ).
fof(f304,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(forward_demodulation,[status(thm)],[f20,f303]) ).
fof(f418,plain,
! [X0,X1] : n0 = meet(X0,meet(X1,complement(meet(X1,X0)))),
inference(paramodulation,[status(thm)],[f18,f82]) ).
fof(f536,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f17,f21]) ).
fof(f589,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,complement(meet(X0,X1))),X2)) = join(n0,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f82,f22]) ).
fof(f590,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,complement(meet(X0,X1))),X2)) = meet(X0,X2),
inference(forward_demodulation,[status(thm)],[f49,f589]) ).
fof(f599,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = join(n0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f22]) ).
fof(f600,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f49,f599]) ).
fof(f855,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f86,f104]) ).
fof(f856,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f304,f855]) ).
fof(f2472,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),X1),
inference(paramodulation,[status(thm)],[f25,f600]) ).
fof(f2899,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,n1),
inference(paramodulation,[status(thm)],[f27,f536]) ).
fof(f2900,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = n1,
inference(forward_demodulation,[status(thm)],[f128,f2899]) ).
fof(f3030,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = n1,
inference(paramodulation,[status(thm)],[f18,f2900]) ).
fof(f3103,plain,
! [X0,X1] : join(meet(X0,X1),complement(meet(X1,X0))) = n1,
inference(paramodulation,[status(thm)],[f47,f3030]) ).
fof(f3138,plain,
! [X0,X1] : meet(X0,n1) = meet(X0,complement(meet(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f3030,f600]) ).
fof(f3139,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f31,f3138]) ).
fof(f3202,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f25,f3139]) ).
fof(f10197,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(paramodulation,[status(thm)],[f16,f3202]) ).
fof(f10198,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f10197]) ).
fof(f16368,plain,
! [X0,X1] : meet(X0,n1) = meet(X0,complement(meet(complement(meet(X0,X1)),X1))),
inference(paramodulation,[status(thm)],[f3103,f590]) ).
fof(f16369,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(complement(meet(X0,X1)),X1))),
inference(forward_demodulation,[status(thm)],[f31,f16368]) ).
fof(f16370,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f18,f16369]) ).
fof(f18668,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(meet(X1,complement(meet(X1,X0))),complement(n0)))),
inference(paramodulation,[status(thm)],[f418,f16370]) ).
fof(f18669,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,meet(complement(meet(X1,X0)),complement(n0))))),
inference(forward_demodulation,[status(thm)],[f20,f18668]) ).
fof(f18670,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,meet(complement(n0),complement(meet(X1,X0)))))),
inference(forward_demodulation,[status(thm)],[f856,f18669]) ).
fof(f18671,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,meet(n1,complement(meet(X1,X0)))))),
inference(forward_demodulation,[status(thm)],[f57,f18670]) ).
fof(f18672,plain,
! [X0,X1] : X0 = meet(X0,complement(meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f73,f18671]) ).
fof(f19030,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(meet(X0,complement(meet(X0,X1))),complement(meet(X1,complement(n0)))),
inference(paramodulation,[status(thm)],[f418,f18672]) ).
fof(f19031,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,meet(complement(meet(X0,X1)),complement(meet(X1,complement(n0))))),
inference(forward_demodulation,[status(thm)],[f20,f19030]) ).
fof(f19032,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,meet(complement(meet(X0,X1)),complement(meet(X1,n1)))),
inference(forward_demodulation,[status(thm)],[f57,f19031]) ).
fof(f19033,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,meet(complement(meet(X0,X1)),complement(X1))),
inference(forward_demodulation,[status(thm)],[f31,f19032]) ).
fof(f19034,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,meet(complement(X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f856,f19033]) ).
fof(f19035,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f3202,f19034]) ).
fof(f19780,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),X1))) = meet(complement(X0),complement(join(X0,X1))),
inference(paramodulation,[status(thm)],[f2472,f19035]) ).
fof(f19781,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[status(thm)],[f19035,f19780]) ).
fof(f19782,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f10198,f19781]) ).
fof(f20075,plain,
complement(join(c,d)) != complement(join(c,d)),
inference(backward_demodulation,[status(thm)],[f19782,f26]) ).
fof(f20076,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f20075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n022.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 09:22:57 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 14.73/2.30 % Refutation found
% 14.73/2.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.73/2.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.73/2.37 % Elapsed time: 2.027800 seconds
% 14.73/2.37 % CPU time: 15.082388 seconds
% 14.73/2.37 % Memory used: 121.652 MB
%------------------------------------------------------------------------------