TSTP Solution File: LAT237-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:25:28 EDT 2024
% Result : Unsatisfiable 26.02s 3.69s
% Output : CNFRefutation 26.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 81 ( 70 unt; 0 def)
% Number of atoms : 94 ( 80 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 : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : join(X,complement(X)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : meet(X,complement(X)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( meet(X,Y) != zero
| join(X,Y) != one
| complement(X) = Y ),
file('/export/starexec/sandbox2/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(U,meet(Z,join(X,Y)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
meet(b,a) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(complement(b),complement(a)) != complement(a),
file('/export/starexec/sandbox2/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(X3,meet(X2,join(X0,X1)))))),
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(f41,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f42,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f42]) ).
fof(f46,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f52,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f74,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f20,f46]) ).
fof(f112,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f74,f32]) ).
fof(f626,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f643,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,meet(X1,one))))),
inference(paramodulation,[status(thm)],[f23,f26]) ).
fof(f663,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f46]) ).
fof(f664,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[status(thm)],[f23,f663]) ).
fof(f670,plain,
! [X0] : meet(X0,one) = X0,
inference(paramodulation,[status(thm)],[f23,f17]) ).
fof(f677,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,X1)))),
inference(backward_demodulation,[status(thm)],[f670,f643]) ).
fof(f678,plain,
! [X0,X1,X2] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f32,f677]) ).
fof(f781,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f783,plain,
! [X0] : join(zero,X0) = X0,
inference(paramodulation,[status(thm)],[f20,f781]) ).
fof(f806,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f781,f32]) ).
fof(f873,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f19,f806]) ).
fof(f927,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f626,f43]) ).
fof(f979,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1004,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f32,f21]) ).
fof(f1006,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f1007,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(forward_demodulation,[status(thm)],[f21,f1006]) ).
fof(f1042,plain,
( spl0_0
<=> meet(a,join(complement(b),complement(a))) = zero ),
introduced(split_symbol_definition) ).
fof(f1044,plain,
( meet(a,join(complement(b),complement(a))) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( spl0_1
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f1047,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_1 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( meet(a,join(complement(b),complement(a))) != zero
| join(a,join(complement(b),complement(a))) != one ),
inference(resolution,[status(thm)],[f25,f28]) ).
fof(f1049,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f1048,f1042,f1045]) ).
fof(f1068,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f41]) ).
fof(f1069,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = one,
inference(forward_demodulation,[status(thm)],[f664,f1068]) ).
fof(f1348,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = one,
inference(paramodulation,[status(thm)],[f19,f1069]) ).
fof(f1699,plain,
! [X0,X1] : join(join(X0,X1),complement(X0)) = one,
inference(paramodulation,[status(thm)],[f17,f1348]) ).
fof(f1700,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = one,
inference(forward_demodulation,[status(thm)],[f22,f1699]) ).
fof(f3803,plain,
! [X0,X1,X2] : meet(join(X0,X1),meet(X2,join(X1,X0))) = meet(X2,join(X1,X0)),
inference(paramodulation,[status(thm)],[f112,f979]) ).
fof(f3957,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = meet(X0,zero),
inference(paramodulation,[status(thm)],[f24,f1004]) ).
fof(f3958,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f873,f3957]) ).
fof(f4142,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),complement(join(X0,X2))) = zero,
inference(paramodulation,[status(thm)],[f927,f3958]) ).
fof(f4143,plain,
! [X0,X1,X2] : meet(complement(join(X0,X1)),join(X0,meet(X2,X1))) = zero,
inference(forward_demodulation,[status(thm)],[f19,f4142]) ).
fof(f4655,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(X0,join(X2,X1))),
inference(paramodulation,[status(thm)],[f112,f1007]) ).
fof(f4656,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f3803,f4655]) ).
fof(f18645,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(paramodulation,[status(thm)],[f4143,f678]) ).
fof(f18646,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f4656,f18645]) ).
fof(f18647,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f783,f18646]) ).
fof(f18648,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f24,f18647]) ).
fof(f18832,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),complement(join(X1,X0)))),
inference(paramodulation,[status(thm)],[f927,f18648]) ).
fof(f19166,plain,
zero = meet(a,join(complement(a),complement(b))),
inference(paramodulation,[status(thm)],[f52,f18832]) ).
fof(f19167,plain,
zero = meet(a,join(complement(b),complement(a))),
inference(forward_demodulation,[status(thm)],[f4656,f19166]) ).
fof(f19168,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f19167,f1044]) ).
fof(f19169,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f19168]) ).
fof(f19351,plain,
( one != one
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f1700,f1047]) ).
fof(f19352,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f19351]) ).
fof(f19353,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f19352]) ).
fof(f19354,plain,
$false,
inference(sat_refutation,[status(thm)],[f1049,f19169,f19353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Apr 29 19:54:06 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.6.0
% 26.02/3.69 % Refutation found
% 26.02/3.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 26.02/3.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 27.60/3.79 % Elapsed time: 3.470327 seconds
% 27.60/3.79 % CPU time: 27.192805 seconds
% 27.60/3.79 % Total memory used: 282.160 MB
% 27.60/3.79 % Net memory used: 278.128 MB
%------------------------------------------------------------------------------