TSTP Solution File: LAT240-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT240-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:17:07 EDT 2023
% Result : Unsatisfiable 173.66s 22.21s
% Output : CNFRefutation 175.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 75 unt; 0 def)
% Number of atoms : 99 ( 85 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 13 ~; 11 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 144 (; 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(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] : join(X,complement(X)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( meet(X,Y) != zero
| join(X,Y) != one
| complement(X) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z,U] : meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(X,meet(Z,join(Y,U)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f22,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0] : join(X0,complement(X0)) = one,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0] : meet(X0,complement(X0)) = zero,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] :
( meet(X0,X1) != zero
| join(X0,X1) != one
| complement(X0) = X1 ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X2,join(X1,X3)))))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
meet(b,a) = a,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
join(complement(b),complement(a)) != complement(a),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f35,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f46,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f50,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,join(X1,X2))) = join(X0,X1),
inference(paramodulation,[status(thm)],[f22,f17]) ).
fof(f54,plain,
! [X0,X1] : meet(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f18,f32]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f21,f54]) ).
fof(f68,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f46]) ).
fof(f123,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f68,f32]) ).
fof(f124,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(join(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f68,f22]) ).
fof(f125,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(join(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f22,f124]) ).
fof(f126,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f22,f125]) ).
fof(f241,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f35,f46]) ).
fof(f242,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f126,f241]) ).
fof(f488,plain,
! [X0,X1,X2,X3] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X2,join(X3,X1)))))),
inference(paramodulation,[status(thm)],[f20,f26]) ).
fof(f613,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f646,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f658,plain,
! [X0] : meet(one,X0) = X0,
inference(paramodulation,[status(thm)],[f19,f646]) ).
fof(f816,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f820,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f816]) ).
fof(f842,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f816,f32]) ).
fof(f951,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f55,f613]) ).
fof(f1007,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1017,plain,
! [X0] : meet(a,X0) = meet(b,meet(a,X0)),
inference(paramodulation,[status(thm)],[f27,f21]) ).
fof(f1021,plain,
! [X0,X1] : meet(zero,X0) = meet(X1,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f1022,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f842,f1021]) ).
fof(f1033,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1034,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f1033]) ).
fof(f1065,plain,
( spl0_0
<=> meet(a,join(complement(b),complement(a))) = zero ),
introduced(split_symbol_definition) ).
fof(f1067,plain,
( meet(a,join(complement(b),complement(a))) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( spl0_1
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f1070,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_1 ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,plain,
( meet(a,join(complement(b),complement(a))) != zero
| join(a,join(complement(b),complement(a))) != one ),
inference(resolution,[status(thm)],[f25,f28]) ).
fof(f1072,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1071,f1065,f1068]) ).
fof(f1088,plain,
! [X0,X1] : meet(one,join(X0,join(complement(X0),X1))) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f23,f50]) ).
fof(f1089,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f658,f1088]) ).
fof(f1090,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = one,
inference(forward_demodulation,[status(thm)],[f23,f1089]) ).
fof(f1316,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f19,f1022]) ).
fof(f1466,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = one,
inference(paramodulation,[status(thm)],[f20,f1090]) ).
fof(f2843,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X2),meet(X2,X1))) = join(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f951,f242]) ).
fof(f2844,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f951,f2843]) ).
fof(f3812,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f1316,f1017]) ).
fof(f8054,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),meet(X2,join(X0,X1)))) = meet(X0,join(complement(X1),meet(X2,join(X0,meet(X2,one))))),
inference(paramodulation,[status(thm)],[f23,f488]) ).
fof(f8055,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),meet(X2,join(X0,X1)))) = meet(X0,join(complement(X1),meet(X2,join(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f646,f8054]) ).
fof(f8056,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),meet(X2,join(X0,X1)))) = meet(X0,join(complement(X1),X2)),
inference(forward_demodulation,[status(thm)],[f32,f8055]) ).
fof(f16363,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f123,f1007]) ).
fof(f16625,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f123,f1034]) ).
fof(f16626,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f16363,f16625]) ).
fof(f67988,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X1,X0))) = meet(X0,join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f16,f8056]) ).
fof(f68298,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f2844,f67988]) ).
fof(f69087,plain,
meet(a,join(complement(a),zero)) = meet(a,join(complement(a),complement(b))),
inference(paramodulation,[status(thm)],[f3812,f68298]) ).
fof(f69088,plain,
meet(a,join(zero,complement(a))) = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[status(thm)],[f16626,f69087]) ).
fof(f69089,plain,
meet(a,complement(a)) = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[status(thm)],[f820,f69088]) ).
fof(f69090,plain,
zero = meet(a,join(complement(a),complement(b))),
inference(forward_demodulation,[status(thm)],[f24,f69089]) ).
fof(f69091,plain,
zero = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[status(thm)],[f16626,f69090]) ).
fof(f69092,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f69091,f1067]) ).
fof(f69093,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f69092]) ).
fof(f69709,plain,
( one != one
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1466,f1070]) ).
fof(f69710,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f69709]) ).
fof(f69711,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f69710]) ).
fof(f69712,plain,
$false,
inference(sat_refutation,[status(thm)],[f1072,f69093,f69711]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : LAT240-1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 09:44:17 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 173.66/22.21 % Refutation found
% 173.66/22.21 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 173.66/22.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 176.51/22.55 % Elapsed time: 22.220373 seconds
% 176.51/22.55 % CPU time: 175.458441 seconds
% 176.51/22.55 % Memory used: 963.065 MB
%------------------------------------------------------------------------------