TSTP Solution File: LAT089-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 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 : 6 ( 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 : 143 ( 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/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,
meet(b,a) != meet(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(f19,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,meet(X2,X0))),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f25,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f29,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f30,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f36,plain,
! [X0] : join(meet(meet(X0,X0),join(X0,X0)),meet(join(X0,X0),X0)) = join(X0,X0),
inference(paramodulation,[status(thm)],[f25,f9]) ).
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)],[f29,f7]) ).
fof(f44,plain,
! [X0,X1] : meet(meet(X0,join(meet(X0,X1),X0)),join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f29,f30]) ).
fof(f46,plain,
! [X0,X1] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f9,f30]) ).
fof(f48,plain,
! [X0,X1] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f30]) ).
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)],[f30,f29]) ).
fof(f73,plain,
! [X0,X1] : join(join(meet(X0,X1),meet(X1,meet(X0,X1))),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f46,f29]) ).
fof(f88,plain,
! [X0,X1,X2] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f48]) ).
fof(f89,plain,
! [X0,X1,X2] : meet(X0,meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f88]) ).
fof(f90,plain,
! [X0,X1,X2] : meet(X0,X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f89]) ).
fof(f91,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f90]) ).
fof(f127,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f91,f25]) ).
fof(f128,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f91,f8]) ).
fof(f141,plain,
! [X0] : join(meet(X0,join(X0,X0)),meet(join(X0,X0),X0)) = join(X0,X0),
inference(backward_demodulation,[status(thm)],[f91,f36]) ).
fof(f144,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f91,f10]) ).
fof(f156,plain,
! [X0] : join(meet(X0,join(X0,X0)),X0) = join(X0,X0),
inference(backward_demodulation,[status(thm)],[f144,f141]) ).
fof(f160,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f127,f10]) ).
fof(f163,plain,
! [X0] : join(meet(X0,join(X0,X0)),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f127,f7]) ).
fof(f164,plain,
! [X0] : join(meet(X0,join(X0,X0)),X0) = X0,
inference(forward_demodulation,[status(thm)],[f91,f163]) ).
fof(f165,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f156,f164]) ).
fof(f169,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = join(meet(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f165,f42]) ).
fof(f176,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f165,f128]) ).
fof(f185,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,meet(X0,X1))) = meet(X1,meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f176,f73]) ).
fof(f186,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f176,f185]) ).
fof(f187,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),X0)) = meet(join(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f176,f50]) ).
fof(f188,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f176,f187]) ).
fof(f243,plain,
! [X0,X1] : join(meet(meet(X0,meet(X1,X0)),meet(X0,X0)),meet(meet(X0,meet(X1,X0)),X0)) = meet(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f176,f13]) ).
fof(f244,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,X1)),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f186,f243]) ).
fof(f245,plain,
! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X1,meet(X0,X1)),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f91,f244]) ).
fof(f246,plain,
! [X0,X1] : join(meet(meet(X0,X1),X1),meet(meet(X0,X1),X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f186,f245]) ).
fof(f247,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f165,f246]) ).
fof(f248,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f186,f247]) ).
fof(f263,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),X0)) = join(meet(X0,X1),X0),
inference(backward_demodulation,[status(thm)],[f248,f44]) ).
fof(f379,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)],[f188,f13]) ).
fof(f380,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)],[f188,f379]) ).
fof(f381,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)],[f188,f380]) ).
fof(f390,plain,
! [X0,X1] : join(X0,meet(join(X0,X1),join(join(X0,X1),X0))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f188,f7]) ).
fof(f451,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)],[f160,f7]) ).
fof(f560,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),join(X0,meet(join(X0,X1),join(X2,X0)))) = join(meet(meet(join(X0,X1),join(X2,X0)),X0),meet(join(X0,X1),join(X2,X0))),
inference(paramodulation,[status(thm)],[f10,f263]) ).
fof(f561,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),join(X0,meet(join(X0,X1),join(X2,X0)))) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[status(thm)],[f10,f560]) ).
fof(f581,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f263,f160]) ).
fof(f582,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f169,f581]) ).
fof(f640,plain,
! [X0,X1] : join(X0,meet(meet(X0,join(X1,X0)),X0)) = meet(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f582,f451]) ).
fof(f641,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f176,f640]) ).
fof(f658,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(join(X0,X1),join(X2,X0))),
inference(backward_demodulation,[status(thm)],[f641,f561]) ).
fof(f678,plain,
! [X0,X1] : meet(join(X0,X1),join(join(X0,X1),X0)) = join(X0,X1),
inference(backward_demodulation,[status(thm)],[f658,f390]) ).
fof(f680,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f678,f381]) ).
fof(f681,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f165,f680]) ).
fof(f686,plain,
! [X0,X1] : join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f681,f13]) ).
fof(f687,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f165,f686]) ).
fof(f824,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f687,f176]) ).
fof(f876,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f824,f19]) ).
fof(f1281,plain,
! [X0,X1] : meet(meet(meet(X0,X1),meet(X1,X0)),meet(X0,X1)) = meet(meet(X1,X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f876,f876]) ).
fof(f1282,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X1,X0)) = meet(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f687,f1281]) ).
fof(f1283,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f876,f1282]) ).
fof(f1284,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f876,f1283]) ).
fof(f1285,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f12,f1284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Apr 29 20:05:10 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.38 % Drodi V3.6.0
% 0.22/0.50 % Refutation found
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.52 % Elapsed time: 0.146382 seconds
% 0.22/0.52 % CPU time: 1.053714 seconds
% 0.22/0.52 % Total memory used: 29.172 MB
% 0.22/0.52 % Net memory used: 27.694 MB
%------------------------------------------------------------------------------