TSTP Solution File: LAT017-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT017-1 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 20:25:12 EDT 2024
% Result : Unsatisfiable 71.29s 9.49s
% Output : CNFRefutation 71.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : complement(complement(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : meet(X,Y) = complement(join(complement(X),complement(Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f19,plain,
! [X0] : complement(complement(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f22,plain,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f23,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f22]) ).
fof(f24,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(b,complement(a)),meet(complement(a),complement(b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f23]) ).
fof(f25,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(paramodulation,[status(thm)],[f19,f12]) ).
fof(f29,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f14]) ).
fof(f37,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f74,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f76,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f80,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f364,plain,
! [X0,X1,X2] : meet(complement(X0),join(X1,complement(X2))) = complement(join(X0,meet(complement(X1),X2))),
inference(paramodulation,[status(thm)],[f74,f74]) ).
fof(f371,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f74]) ).
fof(f374,plain,
! [X0,X1] : join(join(X0,complement(X1)),meet(complement(X0),X1)) = n1,
inference(paramodulation,[status(thm)],[f74,f25]) ).
fof(f375,plain,
! [X0,X1] : join(X0,join(complement(X1),meet(complement(X0),X1))) = n1,
inference(forward_demodulation,[status(thm)],[f18,f374]) ).
fof(f379,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f74,f19]) ).
fof(f380,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),meet(complement(a),join(meet(b,complement(a)),complement(join(a,b)))))) != n1,
inference(backward_demodulation,[status(thm)],[f371,f24]) ).
fof(f381,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),complement(join(a,meet(complement(meet(b,complement(a))),join(a,b)))))) != n1,
inference(forward_demodulation,[status(thm)],[f364,f380]) ).
fof(f382,plain,
join(a,join(meet(complement(a),meet(join(a,b),join(a,complement(b)))),complement(join(a,meet(join(a,b),complement(meet(b,complement(a)))))))) != n1,
inference(forward_demodulation,[status(thm)],[f15,f381]) ).
fof(f1006,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f16,f80]) ).
fof(f1007,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f80,f1006]) ).
fof(f1010,plain,
! [X0,X1,X2] : complement(meet(join(X0,complement(X1)),X2)) = join(meet(complement(X0),X1),complement(X2)),
inference(paramodulation,[status(thm)],[f74,f80]) ).
fof(f1017,plain,
! [X0,X1,X2] : complement(meet(X0,join(X1,complement(X2)))) = join(complement(X0),meet(complement(X1),X2)),
inference(paramodulation,[status(thm)],[f74,f80]) ).
fof(f1024,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f19,f80]) ).
fof(f1045,plain,
join(a,complement(meet(join(a,complement(meet(join(a,b),join(a,complement(b))))),join(a,meet(join(a,b),complement(meet(b,complement(a)))))))) != n1,
inference(backward_demodulation,[status(thm)],[f1010,f382]) ).
fof(f1046,plain,
join(a,complement(meet(join(a,complement(meet(join(a,b),join(a,complement(b))))),join(a,meet(join(a,b),join(complement(b),a)))))) != n1,
inference(forward_demodulation,[status(thm)],[f1024,f1045]) ).
fof(f1047,plain,
join(a,complement(meet(join(a,meet(join(a,b),join(complement(b),a))),join(a,complement(meet(join(a,b),join(a,complement(b)))))))) != n1,
inference(forward_demodulation,[status(thm)],[f1007,f1046]) ).
fof(f1048,plain,
join(a,complement(meet(join(a,meet(join(a,b),join(a,complement(b)))),join(a,complement(meet(join(a,b),join(a,complement(b)))))))) != n1,
inference(forward_demodulation,[status(thm)],[f16,f1047]) ).
fof(f1049,plain,
! [X0,X1] : join(X0,complement(meet(X1,join(X0,complement(X1))))) = n1,
inference(backward_demodulation,[status(thm)],[f1017,f375]) ).
fof(f1077,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f14,f76]) ).
fof(f1078,plain,
! [X0,X1] : meet(X0,join(X0,complement(X1))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f379,f1077]) ).
fof(f1079,plain,
! [X0,X1] : meet(X0,join(X0,complement(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f1078]) ).
fof(f1133,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f19,f1079]) ).
fof(f1189,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,X0)) = meet(X2,X0),
inference(paramodulation,[status(thm)],[f1133,f37]) ).
fof(f1190,plain,
! [X0,X1,X2] : meet(X0,meet(join(X0,X1),X2)) = meet(X2,X0),
inference(forward_demodulation,[status(thm)],[f37,f1189]) ).
fof(f3326,plain,
! [X0,X1,X2] : join(meet(join(X0,X1),X2),meet(X2,X0)) = meet(join(X0,X1),X2),
inference(paramodulation,[status(thm)],[f1190,f29]) ).
fof(f3327,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(join(X1,X2),X0)) = meet(join(X1,X2),X0),
inference(forward_demodulation,[status(thm)],[f16,f3326]) ).
fof(f15492,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(join(X0,X2),X1)) = meet(join(X0,X2),X1),
inference(paramodulation,[status(thm)],[f15,f3327]) ).
fof(f25945,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f1133,f15492]) ).
fof(f26497,plain,
join(a,complement(meet(meet(join(a,b),join(a,complement(b))),join(a,complement(meet(join(a,b),join(a,complement(b)))))))) != n1,
inference(backward_demodulation,[status(thm)],[f25945,f1048]) ).
fof(f26498,plain,
n1 != n1,
inference(forward_demodulation,[status(thm)],[f1049,f26497]) ).
fof(f26499,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f26498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.21 % Problem : LAT017-1 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.08/0.21 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.48 % Computer : n032.cluster.edu
% 0.10/0.48 % Model : x86_64 x86_64
% 0.10/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.48 % Memory : 8042.1875MB
% 0.10/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.48 % CPULimit : 300
% 0.10/0.48 % WCLimit : 300
% 0.10/0.48 % DateTime : Mon Apr 29 20:05:21 EDT 2024
% 0.10/0.48 % CPUTime :
% 0.10/0.49 % Drodi V3.6.0
% 71.29/9.49 % Refutation found
% 71.29/9.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 71.29/9.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 72.28/9.62 % Elapsed time: 9.120217 seconds
% 72.28/9.62 % CPU time: 71.974736 seconds
% 72.28/9.62 % Total memory used: 518.354 MB
% 72.28/9.62 % Net memory used: 509.286 MB
%------------------------------------------------------------------------------