TSTP Solution File: LAT091-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:25:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 76 ( 76 unt; 0 def)
% Number of atoms : 76 ( 75 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 141 ( 141 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(b,a) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
join(b,a) != join(a,b),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f15,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f25,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f29,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f31,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f37,plain,
! [X0] : join(meet(meet(X0,X0),join(X0,X0)),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f29,f7]) ).
fof(f42,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(join(meet(X0,X1),X0),X0)) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f31,f7]) ).
fof(f50,plain,
! [X0,X1] : join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f51,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(join(X0,X1),X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f25,f9]) ).
fof(f69,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f51,f51]) ).
fof(f70,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f51,f25]) ).
fof(f72,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f51,f10]) ).
fof(f77,plain,
! [X0] : join(meet(meet(X0,X0),join(X0,X0)),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f70,f37]) ).
fof(f78,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f70,f15]) ).
fof(f130,plain,
! [X0,X1] : meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f72]) ).
fof(f131,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f72,f130]) ).
fof(f148,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(paramodulation,[status(thm)],[f72,f9]) ).
fof(f151,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f72,f7]) ).
fof(f171,plain,
! [X0] : join(meet(X0,meet(X0,join(meet(X0,X0),X0))),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f69,f7]) ).
fof(f172,plain,
! [X0] : join(meet(X0,join(meet(X0,X0),X0)),meet(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f131,f171]) ).
fof(f184,plain,
! [X0] : join(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f172,f11]) ).
fof(f200,plain,
! [X0] : join(meet(meet(X0,X0),X0),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f184,f77]) ).
fof(f201,plain,
! [X0] : join(X0,X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f70,f200]) ).
fof(f202,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f184,f201]) ).
fof(f205,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f184,f8]) ).
fof(f206,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f202,f205]) ).
fof(f208,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = join(meet(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f184,f42]) ).
fof(f230,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,X0)),X0) = meet(X0,X0),
inference(backward_demodulation,[status(thm)],[f184,f78]) ).
fof(f231,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f202,f230]) ).
fof(f232,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f202,f231]) ).
fof(f301,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f206,f50]) ).
fof(f302,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f206,f301]) ).
fof(f365,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(paramodulation,[status(thm)],[f31,f302]) ).
fof(f367,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f302]) ).
fof(f372,plain,
! [X0,X1] : join(meet(meet(join(X0,X1),X0),meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f302,f13]) ).
fof(f373,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f302,f372]) ).
fof(f374,plain,
! [X0,X1] : join(meet(X0,meet(join(X0,X1),join(join(X0,X1),X0))),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[status(thm)],[f302,f373]) ).
fof(f382,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),join(join(X0,X1),X0))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f302,f7]) ).
fof(f386,plain,
! [X0,X1] : join(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(backward_demodulation,[status(thm)],[f365,f148]) ).
fof(f393,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(backward_demodulation,[status(thm)],[f367,f232]) ).
fof(f670,plain,
! [X0,X1] : join(meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(paramodulation,[status(thm)],[f386,f13]) ).
fof(f671,plain,
! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),meet(X0,X0)),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f365,f670]) ).
fof(f672,plain,
! [X0,X1] : join(meet(join(meet(X0,join(X1,X0)),X0),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f202,f671]) ).
fof(f673,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f208,f672]) ).
fof(f674,plain,
! [X0,X1] : join(join(meet(X0,join(X1,X0)),X0),X0) = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f72,f673]) ).
fof(f675,plain,
! [X0,X1] : X0 = meet(X0,join(meet(X0,join(X1,X0)),X0)),
inference(forward_demodulation,[status(thm)],[f31,f674]) ).
fof(f676,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f365,f675]) ).
fof(f691,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f676,f151]) ).
fof(f692,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f206,f691]) ).
fof(f700,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[status(thm)],[f692,f365]) ).
fof(f725,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),join(X2,X0))) = meet(join(X0,X1),join(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f700]) ).
fof(f742,plain,
! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,X1),
inference(backward_demodulation,[status(thm)],[f725,f382]) ).
fof(f761,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f742,f374]) ).
fof(f762,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f184,f761]) ).
fof(f775,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f692,f393]) ).
fof(f788,plain,
! [X0,X1] : join(join(X0,X1),X0) = join(X0,X1),
inference(paramodulation,[status(thm)],[f762,f206]) ).
fof(f789,plain,
! [X0,X1,X2] : join(join(meet(join(X0,X1),X2),X0),join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f762,f11]) ).
fof(f961,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f775,f302]) ).
fof(f1737,plain,
! [X0,X1] : join(join(X0,X1),join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f961,f789]) ).
fof(f1894,plain,
! [X0,X1] : join(join(join(X0,X1),join(X1,X0)),join(X0,X1)) = join(join(X1,X0),join(X0,X1)),
inference(paramodulation,[status(thm)],[f1737,f1737]) ).
fof(f1895,plain,
! [X0,X1] : join(join(X0,X1),join(X1,X0)) = join(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f788,f1894]) ).
fof(f1896,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f1737,f1895]) ).
fof(f1897,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(forward_demodulation,[status(thm)],[f1737,f1896]) ).
fof(f1898,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f1897]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n002.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 20:17:39 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 0.15/0.44 % Refutation found
% 0.15/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.117166 seconds
% 0.15/0.45 % CPU time: 0.821039 seconds
% 0.15/0.45 % Total memory used: 32.934 MB
% 0.15/0.45 % Net memory used: 30.254 MB
%------------------------------------------------------------------------------