TSTP Solution File: LAT249-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:17:08 EDT 2023
% Result : Unsatisfiable 0.16s 0.62s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 64 ( 53 unt; 0 def)
% Number of atoms : 77 ( 63 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 : 8 ( 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 : 76 (; 76 !; 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] : meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,join(Z,meet(X,join(Y,meet(X,Z))))))),
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] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
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(f33,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f17]) ).
fof(f35,plain,
join(b,a) = b,
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f41,plain,
meet(a,b) = a,
inference(paramodulation,[status(thm)],[f35,f33]) ).
fof(f64,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f65,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f64]) ).
fof(f68,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f283,plain,
! [X0] : join(X0,complement(X0)) = join(X0,one),
inference(paramodulation,[status(thm)],[f23,f68]) ).
fof(f284,plain,
! [X0] : one = join(X0,one),
inference(forward_demodulation,[status(thm)],[f23,f283]) ).
fof(f403,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f19,f21]) ).
fof(f410,plain,
! [X0] : meet(a,X0) = meet(a,meet(b,X0)),
inference(paramodulation,[status(thm)],[f41,f21]) ).
fof(f457,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))),
inference(paramodulation,[status(thm)],[f24,f26]) ).
fof(f458,plain,
! [X0] : join(X0,zero) = X0,
inference(paramodulation,[status(thm)],[f24,f18]) ).
fof(f459,plain,
( spl0_0
<=> meet(a,join(complement(b),complement(a))) = zero ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( meet(a,join(complement(b),complement(a))) != zero
| spl0_0 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_1
<=> join(a,join(complement(b),complement(a))) = one ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( join(a,join(complement(b),complement(a))) != one
| spl0_1 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( meet(a,join(complement(b),complement(a))) != zero
| join(a,join(complement(b),complement(a))) != one ),
inference(resolution,[status(thm)],[f25,f28]) ).
fof(f466,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f465,f459,f462]) ).
fof(f480,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f458,f33]) ).
fof(f680,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f19,f480]) ).
fof(f874,plain,
! [X0,X1] : join(X0,one) = join(X1,join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f23,f65]) ).
fof(f875,plain,
! [X0,X1] : one = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f284,f874]) ).
fof(f6059,plain,
! [X0,X1] : meet(X0,zero) = meet(X1,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f24,f403]) ).
fof(f6060,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f680,f6059]) ).
fof(f6434,plain,
! [X0] : meet(a,X0) = meet(b,meet(X0,a)),
inference(forward_demodulation,[status(thm)],[f403,f410]) ).
fof(f6435,plain,
meet(a,complement(b)) = zero,
inference(paramodulation,[status(thm)],[f6060,f6434]) ).
fof(f10748,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f458,f457]) ).
fof(f10908,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,join(complement(a),zero)))),
inference(paramodulation,[status(thm)],[f6435,f10748]) ).
fof(f10909,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),meet(a,complement(a)))),
inference(forward_demodulation,[status(thm)],[f458,f10908]) ).
fof(f10910,plain,
meet(a,join(complement(b),complement(a))) = meet(a,join(complement(b),zero)),
inference(forward_demodulation,[status(thm)],[f24,f10909]) ).
fof(f10911,plain,
meet(a,join(complement(b),complement(a))) = meet(a,complement(b)),
inference(forward_demodulation,[status(thm)],[f458,f10910]) ).
fof(f10912,plain,
meet(a,join(complement(b),complement(a))) = zero,
inference(forward_demodulation,[status(thm)],[f6435,f10911]) ).
fof(f10913,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f10912,f461]) ).
fof(f10914,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f10913]) ).
fof(f11221,plain,
( one != one
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f875,f464]) ).
fof(f11222,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f11221]) ).
fof(f11223,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f11222]) ).
fof(f11224,plain,
$false,
inference(sat_refutation,[status(thm)],[f466,f10914,f11223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT249-1 : TPTP v8.1.2. Released v3.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 09:36:57 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.62 % Refutation found
% 0.16/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.65 % Elapsed time: 0.338701 seconds
% 0.16/0.65 % CPU time: 1.865129 seconds
% 1.81/0.65 % Memory used: 55.601 MB
%------------------------------------------------------------------------------