TSTP Solution File: REL024-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL024-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:37:28 EDT 2024
% Result : Unsatisfiable 6.29s 1.16s
% Output : CNFRefutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 13
% Syntax : Number of formulae : 94 ( 94 unt; 0 def)
% Number of atoms : 94 ( 93 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 154 ( 154 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f30,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f25]) ).
fof(f31,plain,
join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
inference(forward_demodulation,[status(thm)],[f15,f28]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f29]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f32]) ).
fof(f37,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f37]) ).
fof(f42,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f48,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f15,f16]) ).
fof(f49,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f16,f48]) ).
fof(f54,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f55,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f73,plain,
! [X0,X1,X2] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
inference(paramodulation,[status(thm)],[f55,f23]) ).
fof(f74,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f187,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f33]) ).
fof(f188,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f187]) ).
fof(f194,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f33,f16]) ).
fof(f197,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f38,f188]) ).
fof(f217,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f247,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f55]) ).
fof(f248,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f247]) ).
fof(f256,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f27]) ).
fof(f257,plain,
! [X0,X1] : zero = meet(meet(X0,X1),join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f38,f256]) ).
fof(f258,plain,
! [X0,X1] : zero = complement(join(complement(meet(X0,X1)),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f42,f257]) ).
fof(f259,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f15,f258]) ).
fof(f260,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f26,f259]) ).
fof(f266,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f27,f188]) ).
fof(f275,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f260,f18]) ).
fof(f276,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f275]) ).
fof(f286,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f248]) ).
fof(f294,plain,
! [X0] : join(complement(X0),composition(converse(converse(one)),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f248,f30]) ).
fof(f295,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f22,f294]) ).
fof(f302,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f286,f248]) ).
fof(f303,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f302,f295]) ).
fof(f348,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f18,f303]) ).
fof(f349,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f18,f348]) ).
fof(f350,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f18,f349]) ).
fof(f359,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f303,f18]) ).
fof(f1027,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f27,f197]) ).
fof(f1028,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f15,f1027]) ).
fof(f1029,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f38,f1028]) ).
fof(f1030,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f266,f1029]) ).
fof(f1031,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f359,f197]) ).
fof(f1032,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f15,f1031]) ).
fof(f1033,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1030,f1032]) ).
fof(f1034,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f38,f1033]) ).
fof(f1035,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f27,f1034]) ).
fof(f1036,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f15,f1035]) ).
fof(f1085,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1036,f276]) ).
fof(f1086,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f1030,f1085]) ).
fof(f1145,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f38,f1086]) ).
fof(f1739,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f1145,f350]) ).
fof(f1740,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f1145,f1739]) ).
fof(f1741,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1145,f1740]) ).
fof(f1808,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f1741,f49]) ).
fof(f2157,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1808,f194]) ).
fof(f2158,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = join(X0,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f15,f2157]) ).
fof(f2159,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f33,f2158]) ).
fof(f2636,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f38,f2159]) ).
fof(f12073,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(composition(converse(converse(X2)),X0),converse(converse(composition(X2,X1)))),
inference(paramodulation,[status(thm)],[f217,f73]) ).
fof(f12074,plain,
! [X0,X1,X2] : composition(X0,converse(join(converse(X1),converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f54,f12073]) ).
fof(f12075,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f74,f12074]) ).
fof(f12076,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f22,f12075]) ).
fof(f12077,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f22,f12076]) ).
fof(f12078,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f12077]) ).
fof(f12291,plain,
composition(meet(sk1,converse(sk2)),join(sk3,meet(sk2,sk3))) != composition(meet(sk1,converse(sk2)),sk3),
inference(backward_demodulation,[status(thm)],[f12078,f31]) ).
fof(f12292,plain,
composition(meet(sk1,converse(sk2)),sk3) != composition(meet(sk1,converse(sk2)),sk3),
inference(forward_demodulation,[status(thm)],[f2636,f12291]) ).
fof(f12293,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f12292]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL024-1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:02:32 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 6.29/1.16 % Refutation found
% 6.29/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.29/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.29/1.20 % Elapsed time: 0.842515 seconds
% 6.29/1.20 % CPU time: 6.537825 seconds
% 6.29/1.20 % Total memory used: 97.461 MB
% 6.29/1.20 % Net memory used: 95.538 MB
%------------------------------------------------------------------------------